The p-value of the test statistic is p-value = 0.006. The null hypothesis will be rejected at 5% level of significance.
What Is Two-Tailed Test?A two-tailed test in statistics determines if a sample is more than or less than a specific range of values by using a two-sided critical area of a distribution. It is employed in testing the null hypothesis and determining statistical significance. The alternative hypothesis is accepted in place of the null hypothesis if either of the critical areas apply to the sample under test.
A two-tailed test in statistics determines if a sample is greater or less than a range of values by using a two-sided critical area of a distribution.
It is employed in testing the null hypothesis and determining statistical significance.
The alternative hypothesis is accepted in place of the null hypothesis if either of the crucial areas apply to the sample under test.
Conventionally, two-tailed tests with a 2.5% cutoff on each side of the distribution are employed to evaluate significance at the 5% level.
How to calculate the p-value?
Determine the level of relevance, sometimes referred to as the level, in step one. Assume 0.05 if it isn't specified. Step 2: Evaluate the level of significance in relation to the p-value. Make the conclusion that supports the possible change and reject the null hypothesis if the p-value is lower.
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find the value of x. round your answer to the nearest tenth.
Answer:
x = 56.7
Step-by-step explanation:
cos theta = adjacent/hypotenuse
cos x = 17/31
x = arccos(17/31)
x = 56.7
express -3/5 as the rational number with denominator 20
Answer:
-12/20
hope this helps
have a good day :)
Step-by-step explanation:
Step-by-step explanation:
-3/5*4= -12/20
pls gimme brainliest I need it
EMERGENCY NEED HELP PLEASE HELP THE QUESTION IS ATTACHED TO THE QUESTION THING PLEASE HELP!!!
Graph of given system of equations is shown in figure with intersection point (2, 4).
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The system of equation is,
⇒ 2x + y = 8
⇒ - x + 2y = 6
By solving both equation , we get;
⇒ (x, y) = (2, 4)
Thus, The graph of system of equation intersect on point (2, 4).
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Choose three true statements about the angles of the figure
1: Z1 and the 55* angle are adjacent
2: mZ1=55* because Z1 and the 55* angle are vertical angles
3: mZ2=125* because Z2 and the 55* angle are supplementary
4: mZ2 cannot be determined from the information
5: mZ1=180*-55*
6: mZ2=180*-55*-45*
Answer:
2,5,6
Step-by-step explanation:
-Z1 and 55*are vertical angles
-Z1 and 55*are angles on a straight line=180*
this means 180*=55*+Z1
make Z1 subject of the formula- Z1=180*-55*
- mZ2,55*,45* are all angles in the given triangle
since the sum of angles in a triangLe =180*
therefore-180*=Z2+55*+45*
make Z2 the subject of the formulary
Z2=180*-55*-45*
consider the relation below
1.Is the relation A function
2. Is the relation a one to one function
3. Is the inverse of the relation below itself a function
Answers:
Yes it's a function.No, the function is not one-to-one.No, the inverse isn't a function.=============================================
Explanation:
We have a function since the curve passes the vertical line test. Recall that this test is where we try to draw a single vertical line through more than on point on the curve. Such a task isn't possible in this case.
-----------
On the other hand, the curve does not pass the horizontal line test. It is possible to draw a single horizontal line through more than one point on the curve.
This function is not one-to-one since it does not pass the horizontal line test.
------------
Because the graph isn't one-to-one, the inverse won't be a function. The process of finding the inverse involves swapping x and y; which means we swap from "horizontal line test" to "vertical line test".
The original function failing the horizontal line test would mean the inverse fails the vertical line test.
Help me with this please
Answer:
y = 95
Step-by-step explanation:
x = 180 - 120
x = 60
y + 25 + 60 = 180
y = 95
How many times smaller is 1.2 × 106 than 1.38 × 107?
The number 1.2 × 10⁶ is 11.5 times smaller in comparison to the number 1.38 × 10⁷.
The two given numbers here have been written using the method of powers of 10. In this method, very large or very small numbers are easily simplified and written by denoting the powers of 10. These power are integral in nature. Very large numbers are of the form y × 10ⁿ and very small numbers can be expressed in the form z × 10⁻ⁿ.
In the given problem, we have the numbers 1.2 × 10⁶ and 1.38 × 10⁷ and we have to tell how much the former number is from the latter. For this, we divide the two and easily find our solution. Before this, we have to make the powers of 10 in both numbers the same. We can rewrite the 1.38 × 10⁷ as 13.8 × 10⁶. Now, we divide the two and get-
⇒ 11.5
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Answer: B. 11.5
Step-by-step explanation: I took the test
559
8
X
о
10.5
O
55
O
8
O
11.4
Answer:
what is the question?????
pleaseee helpppp:)))
Answer:
Option B:112 familiesStep-by-step explanation:
Given,
No. of families = 75
Out of 75 no. of families had cars = 42
Out of 1, no. of families can have cars
[tex] = \frac{42}{75} [/tex]
Therefore,
Out of 200 families, no. of families had cars
[tex] = 200 \times \frac{42}{75} [/tex]
[tex] =200 \times \frac{14}{25} [/tex]
= 8 × 14
= 112
Hence,
option B is correct as 112 families have cars out of 200 families (Ans)
(ANSWER QUICKLY PLAESE) Mrs. Rubio collected $5 from
each student and $8.25 from each
chaperone for a field trip. She collected
a total of $176.25. If 5 chaperones went
on the field trip, how many students
went?
Answer:
27 students
Step-by-step explanation:
We know
1 student = $5
1 chaperone = $8.25
5 chaperon = $8.25 x 5 = $41.25
Let's solve
$176.25 - $41.25 = $135
So, we know that the total amount Mrs. Rubio collected from students is $135, then we take
135 / 5 = 27 students
So, 27 students went on the field trip.
Answer:
8.25 × 5 = 41.25
176.25 - 41.25 = 135
5 × x = 135
x = 27
Therefore, 27 students went.
Im taking an algebra exit exam that I need for high school, tips on what to study or do?
helppp please last question !!!
Answer:
Step-by-step explanation:
y = 1/4x +10
and why do you use your phone, it makes it sooo much tuffer to read the question. just "prt screen" and paste into paint.. and save as a jpg, and then post that pic.. don't use your phone. :/
A ratio is a comparison of two quantities. For example, the ratio of cows to pigs on a farm could be 1 to 3. For every 1 cow, there are 3 pigs. The ratio of chocolate chips to raisins in a cookie could be 5 to 9. For every 5 chocolate chips in the cookie, there are 9 raisins. Do you notice a repeating phrase in these examples? “For every” is key ratio language. It tells you how much of one quantity exists in comparison to the other quantity. A ratio consists of just the numbers, not the units. If someone asked the ratio of chocolate chips to raisins in the cookie example, you’d say 5 to 9.
Which of these could you represent with a ratio?
The solution is given by the equation A = how many diet sodas there are in the fridge compared to how many regular sodas
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion be represented as A
Now , the equation will be
The ratio of cows to pigs on a farm could be 1 to 3
So , the proportion is 1 : 3
Now , The ratio of chocolate chips to raisins in a cookie could be 5 to 9
So , the proportion is 5 : 9
Now , the number of diet sodas there are in the fridge compared to number of regular sodas is also a proportion
Hence , the proportion is number of diet sodas to number of regular sodas
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Is 2x 3y linear equation?
Therefore .as a result the supplied linear equation problem's solution is shown to be a linear equation with two variables.
Define a linear equation.Any model that meets the algebraic equation y=mx+b is said to be linear. B is the slope, and m is the y-intercept. Since both y and x are distinct factors, the preceding sentence is commonly referred as a "mathematical model with two variables." Two-variable linear equations are referred to as bivariate equations. There are several applications for linear equations, all of which end in zero. If an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept, it is classified as linear. The equation is written as Y=mx+b, where m denotes the slope and b
Here,
Assumed: 2x + 3Y = 0.
As a result, the following equation can be used to determine whether it is linear in two variables.
As x is the sole variable, as can be seen.
Therefore, it is a two-variable linear equation.
As a result, the supplied linear equation problem's solution is shown to be a linear equation with two variables.
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s = 40, u
12, mZS = 37
Solve the problem as directed. The volume of a right circular cone varies jointly as the altitude and the square of the radius of the base. If the volume of the cone is 154 cubic inches when its altitude is 12 inches and the radius of the base is 3 1 2 312 inches, find the altitude when the volume of the cone is 77 cubic inches and the radius of the base is 2 1 3 213 inches. (Put your response in decimal form.) Altitude
The altitude of the right circular cone is 13.5 inches.
What is volume?
Volume is a term used in mathematics to describe the volume of three-dimensional space occupied by an object or a closed surface. The measurement of volume is done in cubic units, like m3, cm3, in3, etc. Volume is also referred to as capacity on occasion.
Here, the volume of a right circular cone varies jointly as the altitude and the square of the radius of the base
So our equation for volume becomes
V = c*h*r^2
where 'h' is altitude and
'r' is radius of base and
'c' is constant
Putting the values of V, h, r, in the volume equation.
we get,
154 = c*12*3.5*3.5
c = 22/21
Now we have volume = 77 cu and radius of the base =7/3, so putting the values we get,
77 = 22/21*h*7/3*7/3
or, h = 13.5 inches
Hence, the altitude of the right circular cone is 13.5 inches.
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A rock is dropped from a height of 88.6 m and falls toward Earth in a straight line. In t seconds the rock falls 4.9t2 meters.
Answer:
The average speed is 9.8 meter per second in the first two seconds
Step-by-step explanation:
Complete Question
What is the average velocity of the rock in first 2 secs?
Solution
Distance travelled in first two seconds
[tex]4.9 t^2 = 4.9*2*2 = 19.6[/tex] m
Average speed = [tex]S2-S1/2 = 19.6-0/2 = 9.8[/tex] meter per second
Find the area of the figure.
Answer:
Picture Please
Answer:
In order to find area, multiply length x height
Step-by-step explanation:
Or in some cases, you can multiply length x height x width.
15 In circle F with m/EFG = 78 and EF = 4 units, find the length of arc EG. Round to the nearest hundredth. F G E
Length of arc EG = 5.446 degrees and EG = 0.05446 degrees while written in hundredth.
What means arc length of a circle?Arc length is defined as the distance of two points along the boundary of a circle or a section of a curve. Arc length is not a straight line.
Arc length is calculated by the following formula.
arc length in radians
s = r Ф
where, r is radius of circle or curve
Ф is the central angle in radians
arc length is degrees
s = Ф×π/180 × r
r is the radius of circle
Ф is the central angle in degrees
π = 3.142
How to calculate the arc length in the given problems?given, central angle EFG = 78 degrees.
EF = 4 units
EF is the radius of the given circle
as per the rules of a circle FG is also a radius
FG = FE = 4 units
Now arc length EG = ∠EFG × π/180 × EF
Arc length = 78 × 3.142/180 × 4
=5.446 units
hence, arc length EG = 5.446 units or 5.446 degrees
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Please answer, don't troll please
Answer: The second one
Step-by-step explanation: Because I said so nons
can someone please help me ( check the link for the question
The equation of the line that passes through the point (3, 2) and is perpendicular to 3x + 5y = 15 is y = (5/3)x - 3
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of the line is y = m(1)x + c
The line passes through (3, 2) and is perpendicular to 3x + 5y = 15.
This means,
3x + 5y = 15
5y = -3x + 15
y = (-3/5)x + 3
m(2) = (-3/5)
Now,
m(1) x m(2) = -1
m(1) = -1 / ((-3/5)
m(1) = 5/3
Now,
(3, 2) = (x, y)
y = m(1)x + c
2 = (5/3) x 3 + c
2 = 5 + c
c = 2 - 5
c = -3
Thus,
The equation of the line is y = (5/3)x - 3.
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Herald cut 18 1/2 Inches of a rope that was 60 inches long. How is the length of the remaining rope In inches Written in decimal form?
Answer:
41.5 inches
Step-by-step explanation:
You subtract 18.5 from 60.
Adina read 60 out of 100 pages in a comic book.Write the fraction of the pages she read in simplest form
Answer:
3/5 is 60/100 in it's simplest form.
Step-by-step explanation:
60 divided by 20 is 3 and 100 divided by 20 is 5.
So 3/5
Due to delay, a company had to extend a project from 108 day to 137 day. What wa the percentage increae in time to complete the project, round you anwer to the nearet tenth
The percentage increase in project completion time is 26.85%.
What is percent?Percentage is a relative number that represents the hundredth part of any quantity. One percent (symbolized 1%) is one hundredth part; consequently, 100 percent denotes the complete amount and 200 percent defines twice the supplied amount. percentage. Mathematics percentile is a related topic. A percentage is a fraction of a whole represented as a number between 0 and 100. Nothing is zero percent, everything is 100 percent, half of everything is fifty percent, and nothing is zero percent. To calculate a percentage, divide the share of the total by the total and multiply by 100.
Here,
=(137-108)/108*100
=26.85%
The percentage increase in time to complete the project is 26.85%.
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If the original price is 125 pesos and the rate of discount is 25%, how much is the discount? with solution
Answer:
31.25
Step-by-step explanation:
25% * 125 = 25/100 * 125 = 1/4 * 125 = 31.25
The mean height of 15-year-old boys is 175 cm and the variance is 64. For girls, the mean is 165 and the variance is 64. If 8 boys and 8 girls were sampled, what is the probability that the mean height of the sample of boys would be at least 6 cm higher than the mean height of the sample of girls
The probability of the mean height of the sample of boys being at least 6 cm higher than the mean height of the sample of girls can be calculated using a two-sample t-test. The t-test compares the means of two samples and determines whether they are different from one another. The t-test requires the assumption of equal variances and normal distribution of the data.
What does the math term "probability" mean?
Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
Given that the variances are equal, the t-test statistic can be calculated as:
t = (mean_boys - mean_girls - 6) / (sqrt(variance/n))
where n is the sample size of each group (8 in this case).
The probability of observing a t-value as extreme or more extreme than this value can be calculated using the cumulative distribution function (CDF) of a t-distribution with n1 + n2 - 2 degrees of freedom.
Because you are looking for the probability that the mean height of the sample of boys is at least 6cm higher than the mean height of the sample of girls, this is a one-tailed test. The probability of a one-tailed test can be calculated by subtracting the probability of a two-tailed test from 1.
The probability can be calculated using a t-distribution table with 14 d.f. or using software such as R or excel.
It is important to note that the sample size is very small, with 8 boys and 8 girls, which may not be representative of the population. As sample size increases the probability of getting a significant difference increases.
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plz help filipino words and 3-5 sentences
Step-by-step explanation:
Bagong balita tungkol sa corona virus 19 sa Pilipinas, Ayon sa WHO at DOH mayroong 2.5M na vaccine na ang pinangangasiwaan ang Pilipinas at naitala ring mayroon ng 2.02M ang na bakunahan na indibiduwal.
When a child flying a kite has let out 60 meters of string, the string makes an angle of 60 degrees. How high is the kite?
Answer:
The height is: [tex]h = 51.96cm[/tex]
Step-by-step explanation:
Given
[tex]L = 60m[/tex]
[tex]\theta = 60[/tex]
Required
The height of the kite
See attachment for illustration.
To calculate height (h), we have:
[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
This gives
[tex]\sin(60) = \frac{h}{60}[/tex]
Make h the subject
[tex]h = 60 * \sin(60)[/tex]
[tex]h = 60 * 0.8660[/tex]
[tex]h = 51.96cm[/tex]
explain how you would use algebra tiles to solve x - 3 = 7
Answer:
Start by laying out 7 tiles, and then adding 3. Whatever that number of tiles is equals x.
x = 10
10 - 3 = 7
help me please i will really appreciate it
Answer:
84 square cm
Step-by-step explanation:
Step-by-step explanation:
You should not photograph where unless you have permission?
A public park
Your backyard
A parade
Into someone's window