Step-by-step explanation:
I do not have a gameplay experience, but I can tell you that having a fixed, predetermined goal can be very motivating and impactful when it comes to achieving financial objectives like saving money. When you have a clear goal in mind, such as saving $50,000 to make your way to Vegas, it can help you stay focused and motivated to make the necessary sacrifices and changes to your spending and saving habits.
With a clear financial goal, you are able to develop a concrete plan and establish measurable steps to achieve your target. This may include creating a budget, cutting back on expenses, and finding ways to increase your income. By having a predetermined goal, you can also track your progress and adjust your strategies accordingly to ensure that you stay on track towards achieving your financial objective.
The solution is given below.
What is financial goal?Financial goals are targets set by an individual to achieve financial milestones or plans. In other words, they are financial objectives that an individual wishes to accomplish within a certain time frame. For example, it could be setting up a fund for their children's education, travel, emergency, health care, etc.
here, we have,
given that,
Enzo’s goal was to save $50,000 to make his way to Vegas.
here, we can tell you that having a fixed, predetermined goal can be very motivating and impactful when it comes to achieving financial objectives like saving money. When you have a clear goal in mind, such as saving $50,000 to make your way to Vegas, it can help you stay focused and motivated to make the necessary sacrifices and changes to your spending and saving habits.
we have,
With a clear financial goal, you are able to develop a concrete plan and establish measurable steps to achieve your target. This may include creating a budget, cutting back on expenses, and finding ways to increase your income. By having a predetermined goal, you can also track your progress and adjust your strategies accordingly to ensure that you stay on track towards achieving your financial objective.
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Examine the loan amortization table for a $210,000, 15-year mortgage with an APR of 3.8%. The borrower paid an extra $100 each month towards the principal.
Determine the missing amounts.
Using a loan amortization calculator, we can generate a table that shows the borrower's monthly payments, the interest paid, the principal paid, and the remaining balance after each payment.
What is equation?An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x + 3" equals the value "9."
Using a loan amortization calculator, we can generate a table that shows the borrower's monthly payments, the interest paid, the principal paid, and the remaining balance after each payment. Here is the loan amortization table for the $210,000, 15-year mortgage with an APR of 3.8%, assuming the borrower pays an extra $100 towards the principal each month:
Month Payment Interest Paid Principal Paid Extra Principal Paid Remaining Balance
1 $1,529 $662 $297 $100 $209,703
2 $1,529 $657 $301 $100 $209,402
3 $1,529 $652 $306 $100 $209,096
4 $1,529 $647 $311 $100 $208,783
5 $1,529 $642 $316 $100 $208,463
6 $1,529 $637 $321 $100 $208,137
7 $1,529 $632 $326 $100 $207,803
8 $1,529 $627 $331 $100 $207,463
9 $1,529 $622 $336 $100 $207,116
10 $1,529 $617 $341 $100 $206,762
11 $1,529 $611 $347 $100 $206,411
12 $1,529 $606 $352 $100 $206,052
13 $1,529 $601 $357 $100 $205,686
14 $1,529 $596 $362 $100 $205,322
15 $1,529 $590 $368 $100 $204,950
16 $1,529 $585 $373 $100 $204,570
17 $1,529 $580 $378 $100 $204,182
18 $1,529 $574 $384 $100 $203,787
19 $1,529 $569 $389 $100 $203,383
20 $1,529 $563 $395 $100 $202,972
21 $1,529 $558 $400 $100 $202,552
22 $1,529 $552 $406 $100 $202,125
23 $1,529 $547 $411
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considering the following scenario, which method would be most appropriate when calculating the margin of error for the population mean? a research scientist wants to know how many times per hour a certain strand of virus reproduces. she obtains information from 14 strands of this particular virus and finds the mean to be 7.4 . the population is assumed to be normally distributed.
The method that is most appropriate when calculating margin-of-error for population mean is (b) Student's t-distribution.
When calculating the margin of error for the population mean, the most appropriate method depends on the sample size.
If the sample size is large (n > 30) and the population standard deviation is known, then a normal z-distribution can be used to calculate the margin of error.
If the sample size is small (n < 30) or the population standard deviation is unknown, then Student’s t-distribution should be used to calculate the margin of error.
In this case, we are told that the information was obtained from 14 strands of this particular virus. Since n < 30, we should use Student’s t-distribution to calculate the margin of error.
Therefore, the correct option is (b).
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The given question is incomplete, the complete question is
Considering the following scenario, which method would be most appropriate when calculating the margin of error for the population mean?
A research scientist wants to know how many times per hour a certain strand of virus reproduces. she obtains information from 14 strands of this particular virus and finds the mean to be 7.4 . the population is assumed to be normally distributed.
(a) Normal z-distribution
(b) Student's t-distribution
(c) More advanced statistical techniques
a sample of 1200 computer chips revealed that 53% of the chips do not fail in the first 1000 hours of their use. the company's promotional literature claimed that more than 50% do not fail in the first 1000 hours of their use. is there sufficient evidence at the 0.10 level to support the company's claim? state the null and alternative hypotheses for the above scenario.
The null hypothesis is that the proportion of computer chips that do not fail in the first 1000 hours of use is equal to 50%. The alternative hypothesis is that the proportion is greater than 50%.
At the 0.10 level of significance, we will reject the null hypothesis if the test statistic is greater than 1.28. The test statistic can be calculated using the formula:
[tex]z = \frac{\hat{p} - p_0}{\sqrt{\frac{p_0(1-p_0)}{n}}}$[/tex]
where [tex]\hat{p}$[/tex] is the sample proportion, [tex]p_0$[/tex] is the hypothesized proportion under the null hypothesis, and $n$ is the sample size.
In this case, we have [tex]\hat{p} = 0.53$, $p_0 = 0.50$, and $n = 1200$.[/tex] Substituting these values into the formula, we get:
[tex]z = \frac{0.53 - 0.50}{\sqrt{\frac{0.50(1-0.50)}{1200}}} = 2.77$[/tex]
Since the test statistic is greater than 1.28, we reject the null hypothesis and conclude that there is sufficient evidence at the 0.10 level to support the company's claim that more than 50% of computer chips do not fail in the first 1000 hours of their use.
Therefore, the null hypothesis is equal to 50%, and the alternative hypothesis is 50%. The test statistic is 2.77, which is greater than the critical value of 1.28 at the 0.10 level of significance, so we reject the null hypothesis and conclude that there is sufficient evidence to support the company's claim.
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I need help... I'm struggling! I did the math independently but was confused about what to put in the blanks.
1. sin ² x goes in the numerator. 2. sin x (sin x) is the numerator expanded. 3. Separate the two factors sin x / cos x and sin x / cos x. 4. Replace sin x / cos x with tan x. Use the trigonometric identity.
What are trigonometric functions?Simply put, trigonometric functions—also referred to as circular functions—are the functions of a triangle's angle. This means that these trig functions provide the connection between the angles and sides of a triangle. The three basic categories of trigonometric functions are sine, cosine, and tangent. In contrast to the fundamental trigonometric functions, the other three functions are essentially employed more frequently. For an explanation of these three main roles, use the diagram below as a guide. The sin-cos-tan triangle is the name for this illustration. Often, the right-angled triangle is used to define trigonometry.
The given trigonometric function is 1 / cos x csc² x.
Now, the csc²x can be written as:
sin²x / cos x. Thus, sin ² x goes in the numerator.
Now, sin x (sin x) is the numerator expanded.
Separate the two factors sin x / cos x and sin x / cos x
Replace sin x / cos x with tan x.
Use the trigonometric identity to complete the proof.
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Which temperature is colder, -145°C or -130°C? Explain or show your work on a number line.
Answer:
Step-by-step explanation:
-145c is lower because it’s further left on a numberline
What is the answer ??
Answer:
The coordinates of (-3,0) after a translation of 2 units up is the third one. (-3,2)
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Step-by-step explanation:
VOLUME of pyramid = 1/3 base area * height
Base area is a square = 3 x 3
= 1/3 ( 3x3) * 16 = 48 in^3
For positive acute angles A and B, it is known that tan A = 45/28 and cos B =12/ 37. Find the value of cos (A + B) in simplest
form.
The exact value of the cosine of angle A + B is equal to - 1239 / 1961.
How to determine the exact value of a trigonometric function
In this problem we need to determine the exact value of a trigonometric function, this can be done by using definitions of trigonometric functions, Pythagorean theorem and trigonometric formulas:
Trigonometric function
sin θ = y / r
cos θ = x / r
tan θ = y / x
Pythagorean theorem
r² = x² + y²
Trigonometric formula
cos (A + B) = cos A · cos B - sin A · sin B
First, determine the exact values of sines and cosines:
Angle A
r = √(28² + 45²)
r = 53
sin A = 45 / 53
cos A = 28 / 53
Angle B
y = √(37² - 12²)
y = 35
sin B = 35 / 37
Second, calculate the exact value of the trigonometric function by trigonometric formula:
cos (A + B) = (28 / 53) · (12 / 37) - (45 / 53) · (35 / 37)
cos (A + B) = - 1239 / 1961
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if the original length and width of the paper is twice its current length and width, calculate the original area, in cm, of the paper in terms of a and b.
Answer:
[tex]4a^{2} + 4ab[/tex]
Step-by-step explanation:
as I can see in the image posted by you,
current length = a + b
current width = a
according to the condition, original paper length and width was twice of their current values,
original length = 2(a+b)
original width = 2a
therefore,
original area = 2(a+b) * 2a
original area = 4(a+b)a
original area = [tex]4a^{2} + 4ab[/tex]
Hopefully you found the answer helpful
Hank pours himself a jar full of
milk to drink with his pie. The jar is 6"
high and 3" in diameter. What is
the volume of the jar?
Answer:
13.5pi inches^3
Step-by-step explanation:
the jar is a cylinder.
the volume of a cylinder is the height * base area, and the base area is a circle. the area of a circle is pi*r^2.
the radius is half the diameter, so it is 1.5.
the area of the circle is pi * 1.5^2 = 2.25pi.
multiply this by the height, and we get 13.5pi. the units is cubic inches, or inches^3.
divide 70 into the ratio of 2:5
Answer:
20 : 50
Step-by-step explanation:
sum the parts of the ratio , 2 + 5 = 7 parts
divide 70 by 7 to find the value of one part of the ratio
70 ÷ 7 = 10 ← value of 1 part of the ratio , then
2 parts = 2 × 10 = 20
5 parts = 5 × 10 = 50
then
50 divided in the ratio 2 : 5 is 20 : 50
Write an algebraic expression with four terms, using only the variables a, b, and c.
Answer:
2a + 3b - 6bc + c
Step-by-step explanation:
For our terms, we will use a, b, c, and bc terms.
Now, here is what I came up with.
[tex]2a+3b-6bc+c[/tex]
Lim (x,y)->(0,0) f (x,y) = L if f (x,y) gets close to l as we approach (0,0) along the x-axis (y = 0) and along the y-axis (x = 0)?
If f(x,y) gets close to L as we approach (0,0) along the x-axis (y = 0) and along the y-axis (x = 0), the limit of f(x,y) as (x,y) approaches (0,0) is L.
We can follow these steps:
Step 1: Approach (0,0) along the x-axis (y = 0)
Evaluate the limit of f(x,0) as x approaches 0. If the limit exists and is equal to L, proceed to step 2.
Step 2: Approach (0,0) along the y-axis (x = 0)
Evaluate the limit of f(0,y) as y approaches 0. If the limit exists and is equal to L, proceed to step 3.
Step 3: Conclude the limit
If both the limits in steps 1 and 2 exist and are equal to L, then the limit of f(x,y) as (x,y) approaches (0,0) is L. Otherwise, the limit does not exist.
So, if f(x,y) gets close to L as we approach (0,0) along the x-axis (y = 0) and along the y-axis (x = 0), the limit of f(x,y) as (x,y) approaches (0,0) is L.
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a quality control inspector has drawn a sample of 14 light bulbs from a recent production lot. suppose 20% of the bulbs in the lot are defective. what is the probability that less than 9 but more than 7 bulbs from the sample are defective? round your answer to four decimal places.
The probability that less than 9 but more than 7 bulbs from the sample are defective is 0.8944.
The formula to find the probability of x number of defective bulbs in a sample of n bulbs is as follows:
P(x) = [[tex]n \choose x[/tex] * p^x * (1-p)^(n-x)], where [tex]n \choose x[/tex] is the combination of n and x.
So, The probability of x < 9 defective bulbs in a sample of 14 bulbs is given as follows:
P(x<9) = P(x=0) + P(x=1) + P(x=2) + P(x=3) + P(x=4) + P(x=5) + P(x=6) + P(x=7)
Therefore, the probability that less than 9 bulbs from the sample are defective is
P(x<9) = [[tex]14 \choose0[/tex] * (0.2)^0 * (0.8)^14] + [[tex]14 \choose1[/tex] * (0.2)^1 * (0.8)^13] + [[tex]14 \choose2[/tex] * (0.2)^2 * (0.8)^12] + [[tex]14 \choose3[/tex] * (0.2)^3 * (0.8)^11] + [[tex]14 \choose4[/tex] * (0.2)^4 * (0.8)^10] + [[tex]14 \choose5[/tex] * (0.2)^5 * (0.8)^9] + [[tex]14 \choose6[/tex] * (0.2)^6 * (0.8)^8] + [[tex]14 \choose7[/tex] * (0.2)^7 * (0.8)^7]= 0.8962
Similarly, the probability that more than 7 bulbs from the sample are defective is:
P(x>7) = P(x=8) + P(x=9) + P(x=10) + P(x=11) + P(x=12) + P(x=13) + P(x=14)
Therefore, the probability that more than 7 bulbs from the sample are defective is
P(x>7) = [[tex]14 \choose8[/tex] * (0.2)^8 * (0.8)^6] + [[tex]14 \choose9[/tex] * (0.2)^9 * (0.8)^5] + [[tex]14 \choose10[/tex] * (0.2)^10 * (0.8)^4] + [[tex]14 \choose11[/tex] * (0.2)^11 * (0.8)^3] + [[tex]14 \choose12[/tex] * (0.2)^12 * (0.8)^2] + [[tex]14 \choose13[/tex] * (0.2)^13 * (0.8)^1] + [[tex]14 \choose14[/tex] * (0.2)^14 * (0.8)^0]= 0.0005
Therefore, the probability that less than 9 but more than 7 bulbs from the sample are defective is:
P(8≤x≤7) = P(x<9) - P(x≤7)
P(8≤x≤7) = P(x<9) - [P(x=0) + P(x=1) + P(x=2) + P(x=3) + P(x=4) + P(x=5) + P(x=6) + P(x=7)]= 0.8962 - 0.0018= 0.8944 (rounded to four decimal places)
Therefore, more than 7 out of the sample have a probability of failure, but less than 9 out of the sample probably have a failure.
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The sum of three consecutive odd
numbers is 39. What is the largest of
these numbers?
Answer:
2145
Step-by-step explanation:
Given: Sum of three consecutive odd integers = 39
Calculation:Let x, x + 2, x + 4 be the three consecutive odd integers.
Sum of three consecutive odd integers = 39
⇒ x + (x + 2) + (x + 4) = 39
⇒ 3x + 6 = 39
⇒ 3x = 33
⇒ x = 11
∴ The integers are 11, 13 and 15.
∴ Their product = 11 × 13 × 15 = 2145
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8 In Fig. 12.12, O is the centre of circle ABCD. AB is a diameter. |BC| = |CD| and AÔD = 64°. Calculate the angles of quadrilateral ABCD. A 64° D O с [WAEC] B
Given that AB is a diameter. |BC| = |CD| and AÔD = 64°, The angles of the quadrilateral ABCD is 90 degrees
How to solve for the anglesSince |BC| = |CD|, we know that triangle BCD is an isosceles triangle.
Since triangle BCD is isosceles, angles BDC and CBD are equal. Let's call each of these angles x.
180 - 64
= 116 degrees
angle BCD = 180 - 116
= opposite angles in a cyclic quadrilateral are supplementary
116 + 64 + 2 OBC = 360
2 obc = 360 - 116 - 64
0bc = 180 / 2
= 90 degrees
Hence the angles of the quadrilateral ABCD is 90 degrees
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14. Ella is making a corner bench
seat. She plans to outline the seat
cushion in a decorative ribbon.
How much ribbon will she need?
3.6 ft
6.25 ft
4.8 ft
Answer:
14.65
Step-by-step explanation:
3.6 ft + 6.25+4.8=14.65
Which expression is equivalent to
(x-1)^2 x^2+-6
———— * ————
x^2-x-12 x^2+6x-5
If no denominator equals 0?
The expression is equivalent to (x - 2)(x - 5)/(x - 4)(x - 1), as long as the denominators do not equal 0.
What is Algebraic expression ?
An algebraic expression is a mathematical phrase that can include numbers, variables, and operators (such as addition, subtraction, multiplication, and division), as well as grouping symbols like parentheses.
We can begin by factoring the denominators of both fractions as follows:
[tex]x^{2}[/tex]- x - 12 = (x - 4)(x + 3)
[tex]x^{2}[/tex]- + 6x - 5 = (x - 1)(x + 5)
Substituting these expressions, the given expression becomes:
[(x - 1)(x-1) [tex]x^{2}[/tex]-+ (-6)]/[(x - 4)(x + 3)] * [(x + 5)/(x - 1)(x + 5x - 5)]
Simplifying, we can cancel out the (x - 1) and (x + 5) terms in the numerator and denominator:
[(x - 1) * [tex]x^{2}[/tex]- + (-6)]/[(x - 4)(x + 3)] * [1/(x - 5)]
Expanding the numerator:
( [tex]x^{3}[/tex]- [tex]x^{2}[/tex]- - 6)/( [tex]x^{2}[/tex]- - x - 12) * [1/(x - 5)]
Factoring the numerator:
( [tex]x^{2}[/tex]- + x - 6)(x - 5)/( [tex]x^{2}[/tex]- - x - 12)
Factoring again:
(x + 3)(x - 2)(x - 5)/(x - 4)(x + 3)(x - 1)
Canceling out the (x + 3) terms:
(x - 2)(x - 5)/(x - 4)(x - 1)
Therefore, the expression is equivalent to (x - 2)(x - 5)/(x - 4)(x - 1), as long as the denominators do not equal 0.
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A bakery can make 3 cheesecakes for every 4 blocks of cream cheese. Which
table represents the relationship between the number of cheesecakes the
bakery makes and the number of blocks of cream cheese the bakery uses?
A
C
Cheesecakes
3
6
12
Cheesecakes
3
9
12
Cream Cheese
(blocks)
4
7
13
Cream Cheese
(blocks)
4
16
20
B
D
Cheesecakes
3
9
12
Cheesecakes
9
10
11
Cream Cheese
(blocks)
4
12
16
Cream Cheese
(blocks)
12
13
14
Since this bakery can make 3 cheesecakes for every 4 blocks of cream cheese, a table that represent the relationship between the number of cheesecakes the bakery makes and the number of blocks of cream cheese the bakery uses is: B. table B.
What is a proportional relationship?In Mathematics, a proportional relationship produces equivalent ratios and it can be modeled or represented by the following mathematical equation:
y = kx
Where:
y represent the number of blocks of cream cheese.x represent the number of cheesecakes.k is the constant of proportionality.In order to have a proportional relationship, the variables representing the number of blocks of cream cheese and the number of cheesecakes must have the same constant of proportionality:
Constant of proportionality, k = y/x
Constant of proportionality, k = 4/3 = 8/6 = 12/9 = 16/12
Constant of proportionality, k = 4/3.
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Obtain the derivative of the following function using the addition and subtraction rule:
F(x) = 5x10 - 2x2 + x - 1
Answer:
Step-by-step explanation:
To obtain the derivative of F(x) = 5x^10 - 2x^2 + x - 1 using the addition and subtraction rule, we can take the derivative of each term separately and then add or subtract the resulting derivatives.
The derivative of 5x^10 is:
(5x^10)' = 50x^9
The derivative of -2x^2 is:
(-2x^2)' = -4x
The derivative of x is:
(x)' = 1
The derivative of -1 is:
(-1)' = 0
Putting these derivatives together using the addition and subtraction rule, we get:
F'(x) = (50x^9) - (4x) + (1) + (0)
Simplifying this expression, we get:
F'(x) = 50x^9 - 4x + 1
Therefore, the derivative of F(x) = 5x^10 - 2x^2 + x - 1 using the addition and subtraction rule is F'(x) = 50x^9 - 4x + 1.
6 years ago,the age of the father was 4 times the old as his son's age will be 3 years hence but one year after ,a father's age will be 7 times as old as his son.Find their present ages.
Answer:
Hope you have understood this sum
Alexis is 56 inches tall .What is her height in meters?
Answer: Alexis is 1.4224 meters tall.
Step-by-step explanation:
If you want your answer rounded, it's 1.4 meters. I hope this helped you! Brainilist is highly appreciated and helpful! <3
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Step-by-step explanation:
The third one is not all of the others are
Answer the question below in the screenshot, thanks! (please answer quickly, I'm on edge so I can't move on!)
The exact answer on Edge is
"Use the product of powers property to simplify the numerator by removing the parentheses. Follow the order of operations by removing the innermost parentheses first. Cube the quantity to get the product of 2 to the third power, r to the 6th power, and t to the third power, or 2^3r^6t^3 in the numerator. "
It’s asking me to write a quadratic equation in that form with the roots
Answer:
x^2-11x+28=0
Step-by-step explanation:
(x-7)(x-4)=0
= x^2-7x-4x+28=0
= x^2-11x+28=0
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Are angles C and D supplementary angles: B. No.
What is a supplementary angle?In Mathematics, a supplementary angle simply refers to two (2) angles or arc whose sum is equal to 180 degrees. Mathematically, a supplementary angle can be calculated by using this mathematical equation:
C + D = 180
Where:
C and D are measure of the angles subtended.
Additionally, the sum of all of the angles on a straight line is always equal to 180 degrees. In this scenario, we can reasonably infer and logically deduce that the sum of the given angles are not supplementary angles:
58 + 102 = 160° ≠ 180°
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simplify (x-y/√x-√y)-√x
Wendy asked 40 students on the school football team if they ever injured themselves while playing sports. Fifteen football team members responded "Yes. " Wendy concluded that 375 of the 1,000 students in her school have injured themselves playing sports
Wendy's conclusion is invalid as she cannot generalize her findings as sample size is too small to represent the entire school population accurately.
Wendy's assessment is incorrect. This is due to the fact that she is unable to extrapolate from a sample of just 40 students who play football for the school. The sample size is insufficient to provide an accurate representation of the student body as a whole. Also, the football players might be more prone to injuries than those who don't participate in sports, which could further skew the results.
Moreover, Wendy did not choose the football team members using a random sample approach. Instead, she restricted her questions to those students who were already on the football team, thereby introducing sample bias. She might have unintentionally left out pupils who don't participate in athletics but may nonetheless have hurt themselves while doing other physical activities.
Wendy's assertion that 375 of the school's 1,000 kids have sustained sports-related injuries is therefore unfounded. Wendy would need to employ a more representative and random sampling technique that includes students from various sports teams as well as those who do not play sports in order to draw a reliable conclusion. She would also require a larger sample size to obtain a more accurate representative of the total student body.
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Complete Question: Wendy questioned the 40 members of the varsity football team about their experiences with sports-related injuries. "Sure," fifteen football players answered. Wendy came to the conclusion that 375 of the 1,000 pupils at her school had had sports-related injuries. Decide if Wendy's conclusion is true or not.
Leeze is making labels in the shape of parallelograms. Each label has an area of 18 square centimeters and a base of 6 centimeters. What is the height of each label?
The height of the parallelogram is 3 cm.
What is area?
The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.
What is a parallelogram?A parallelogram is a quadrilateral with two pairs of parallel sides. This means that opposite sides of a parallelogram are parallel and have the same length. Additionally, opposite angles of a parallelogram are congruent (i.e., have the same measure). Some common properties of parallelograms include:
The opposite sides of a parallelogram are equal in length.
The opposite angles of a parallelogram are equal in measure.
The consecutive angles of a parallelogram are supplementary (i.e., they add up to 180 degrees).
The diagonals of a parallelogram bisect each other (i.e., they intersect at their midpoint).
Here the given ,
Area of the parallelogram = 18 square centimeters.
Base b = 6 cm
Area of parallelogram = bh square unit
=> 18=6*h
=> h= 18/6 = 3 cm
Hence the height of the parallelogram is 3 cm.
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The test statistic of z=−1.91 is obtained when testing the claim that p=1/2. a. Using a significance level of α=0.10, find the critical value(s). b. Should we reject H 0 or should we fail to reject H 0 ? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. a. The critical value(s) is/are z= (Round to two decimal places as needed. Use a comma to separate answers as needed.) b. Choose the correct conclusion below. A. Reject H 0 . There is sufficient evidence to warrant rejection of the claim that p=1/2. B. Fail to reject H 0 . There is sufficient evidence to warrant rejection of the claim that p=1/2. C. Fail to reject H 0 . There is not sufficient evidence to warrant rejection of the claim that p=1/2. D. Reject H n . There is not sufficient evidence to warrant rejection of the claim that p=1/2.
a. The critical value(s) is/are z = -1.645, 1.64
b. Fail to reject H0.
How to determine critical valueThere is not sufficient evidence to warrant rejection of the claim that p = 1/2. The test statistic of z = -1.91 is obtained when testing the claim that p = 1/2.
We want to know whether to reject H0 or fail to reject H0 using a significance level of α = 0.10.
Using the standard normal distribution table, the critical value(s) are z = ± 1.645 (rounded to two decimal places).
Since -1.91 is less than -1.645, we fail to reject H0.
In other words, there is not sufficient evidence to warrant rejection of the claim that p = 1/2.
Therefore, the correct conclusion is "Fail to reject H0.
There is not sufficient evidence to warrant rejection of the claim that p = 1/2."
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