Answer:
The 95% confidence interval for the true proportion of businesses owned by women is (0.2763, 0.4037).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
A survey of businesses in a particular state found that out of 150 surveyed, 51 were owned by women.
This means that [tex]n = 150, \pi = \frac{51}{150} = 0.34[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.34 - 1.96\sqrt{\frac{0.34*0.66}{150}} = 0.2763[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.34 + 1.96\sqrt{\frac{0.34*0.66}{150}} = 0.4037[/tex]
The 95% confidence interval for the true proportion of businesses owned by women is (0.2763, 0.4037).
38) Your bank account has$82in it when you write checks for$54,$35, and$15. You then deposit $35and $42. How much is in the account? Are you overdrawn
the answer is 55 can you show me how to get that answer.
If you have $82 in your bank account and you write checks for $54, $35, and $15, then the total amount you have written in checks is $54 + $35 + $15 = $104.
So the remaining balance is $82 - $104 = -$22, which means you are now overdrawn.
After you deposit $35 and $42, the new balance will be $82 - $22 + $35 + $42 = $155
So after the deposit, the account balance is $155
It is important to keep track of your bank account balance, if you do not have enough funds in the account and the check you wrote is cashed the bank will bounce the check and incur additional fees.
The following table shows the scores of three Redbirds and the Rockets in the first six games of the basketball season.
Part A:
Which team had the higher average (mean) score? What was it?
Part B:
Which team had the higher median score? What was it?
Part C: Which team had the higher range? What was it?
PLEASE don’t answer if you don’t know the answer. Whoever answers correctly will get Brainliest :)
Answer:
Step-by-step explanation:
1) mean: sum the values and divide for how many they are
Red birds: (87+94+99+85+106+111)/6 = 97
Rockets : (93+107+87+89+108+92)/6 = 96
the Red birds have the higher mean, that is 97
2) median
set the numbers from the least to the greatest and check the number in the middle
Red birds: 85, 87, 94, 99, 106, 111
there are two numbers in the middle, so we have to added up them and divide the result by two
median = (94 + 99)/2 = 96,5
Rockets = 87, 89, 92, 93, 107, 108
median = (92+93)/2 = 92,5
the Red birds have the higher median, that is 96,5
3) range: difference between the highest and the lowest value
Red birds = 111 - 85 = 26
Rockets = 108 - 87 = 21
the Red birds have the highest range, that is 26
14
Determine the distance between L(1, 4, 7) and M(2, 9, 8) on a three-dimensional plane.
XY = √(x2 – x, )²+ (y2 – yı)2 + (x2 – 21)2
Answer:
Distance LM = 5.20 unit (Approx.)
Step-by-step explanation:
Given coordinates;
L(1, 4, 7) and M(2, 9, 8)
Find:
Distance LM
Computation:
Distance between three-dimensional plane = √(x2 - x1)² + (y2 - y1)² + (z2 - z1)²
Distance LM = √(2 - 1)² + (9 - 4)² + (8 - 7)²
Distance LM = √(1)² + (5)² + (1)²
Distance LM = √1 + 25 + 1
Distance LM = √27
Distance LM = 3√3 unit
Distance LM = 3(1.732)
Distance LM = 5.196
Distance LM = 5.20 unit (Approx.)
Write the equation of the line that passes through the points (0,8) and (-1, –4).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
Step-by-step explanation
First, let's remember the equation for point-slope form and how to find the 'm' value:
[tex]y-y1 = m (x-x1)\\m = rise/run\\m = \frac{-4-(8)}{-1-(0)} = 12[/tex]
Now plug your m value and (x1, y1) into point-slope form:
[tex]y - 8 = 12(x-0)\\reduce\\y=12x+8[/tex]
What’s (-3 , 1) reflected over the x-axis
Answer: (-3,-1)
Step-by-step explanation:
Can you help me please
Answer:
120 in²
Hope this helps!
Find m P. Quadrilateral
Answer:
m∠P = 107º
Step-by-step explanation:
Since two sides are parallel this is a trapezoid
In a trapezoid, the angles on the same leg (called adjacent angles) are supplementary, meaning they add up to 180 degrees.
(7x + 31) + (21x - 19) = 180
combine like terms
28x + 12 = 180
Subtract 12 from both sides
28x = 168
Divide both sidees by 28
x = 6
m∠P = 21x - 19
m∠P = 21(6) - 19
m∠P = 107º
Write the equation of the ellipse with a center at (5,-2), one vertex at (2, -2) and a focus at
(5+ √5,-2)
On solving the provided question we can say that - the value of the ellipse will be (5+ , root5)
what is ellipse?In mathematics, an ellipse is a planar curve that encompasses two focus points and ensures that the sum of the two distances from any point on the curve to the focal points is constant. In doing so, the circle—a particular variety of ellipse with two equal focus points—is generalized. The ellipse, whose eccentricity is less than 1, indicates the area containing the points whose distances from its two foci add up to a certain amount. Running tracks in sporting arenas and 2D egg forms are two straightforward examples of ellipses in daily life.
here we have,
center at (5,-2), one vertex at (2, -2) and a focus at
(5+ √5,-2)
so the answer is (5+ , root5)
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Can some one tell me what 132 divided by 12 is I’m so embarrassed
132 divided by 12 is equal to 11 with a remainder of 2.
To perform the division, you can use long division:
Step 1: Set up the division equation:
_______
12 | 132
Step 2: Identify how many times 12 can fit into the first digit of 132 (1). Write the quotient (result) above the line:
11
_______
12 | 132
Step 3: Multiply the divisor (12) by the quotient (11) and write the result below the first part of the dividend:
11
_______
12 | 132
- 12
_______
Step 4: Subtract the result from step 3 from the first part of the dividend (132 - 12 = 120). Write the new result below the line:
11
_______
12 | 132
- 12
_______
120
Step 5: Bring down the next digit of the dividend (in this case, the digit "3") and put it next to the remainder (120):
11
_______
12 | 132
- 12
_______
120
3
Step 6: Determine how many times 12 can fit into 120. The answer is 10. Write the new quotient digit (10) above the digit "3":
11
_______
12 | 132
- 12
_______
120
3
_______
110
Step 7: Multiply the divisor (12) by the new quotient digit (10) and write the result below the second part of the dividend:
11
_______
12 | 132
- 12
_______
120
3
_______
110
- 108
_______
Step 8: Subtract the result from step 7 from the second part of the dividend (110 - 108 = 2). Write the new result below the line:
11
_______
12 | 132
- 12
_______
120
3
_______
110
- 108
_______
2
Step 9: There are no more digits to bring down from the dividend, and the remainder is less than the divisor. The division process is complete.
The final result is the quotient (11) with a remainder of 2. So, 132 divided by 12 is 11 with a remainder of 2.
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Jesus wants to start saving for college. His parents started an account for him tht currently holds $325. Jesus adds $50 each week.
PLEASE HELP 30 POINTS
Answer:
Step-by-step explanation:
it's asking what is the y out put.. if you added the green line with the red line at the input of 2. I feel like graph math ever clearly states what they want you to understand or give an answer to. you are just supposed to "get it" and most people don't just "get it". anyway.. so add the red lines y value at the x of 2 with the green lines y value at 2
0+2 =2
I also feel like the answer to made to totally confuse people too. b/c of how how when you input a 2 and add the two graphs, you also get a 2 , it's just circular and confusing.
2 is the answer BTW :p
The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes. The population standard deviation is known to be 0.5 minute. We want to test to determine whether or not the mean waiting time of all customers is significantly more than 3 minutes. Use alpha = 0.05.
1. The test statistic is a:____.
a. 1.96.
b. 1.64.
c. 2.00.
d. 0.056.
2. The p-value is:____.
a. 0.0456.
b. 0.0482.
c. 0.4772.
d. 0.9759.
e. 0.9772.
3. At the 5% level, you:___.
a. fail to reject the null hypothesis.
b. reject the null hypothesis.
4. Compute the probability of a Type II Error when mu = 2.8.
Answer:
a
Step-by-step explanation:
altitude is drawn from the vertex of an isosceles triangle, forming a right angle
and two congruent triangles. As a result, the altitude cuts the base into two
equal
segments. The length of the altitude is 36 inches, and the length of the base is 12
inches. Find the triangle's perimeter. Round to the nearest tenth of an
Answer:18
Step-by-step explanation:15 + 6 u add the 15 and the 6 for it to be 18
The product of some number and 40 is 2600
Answer:
65
Step-by-step explanation:
To find the second factor of a multiplication problem with only the answer and the first factor, divide the answer by the first factor.
[tex]2600/40= 65.[/tex]
Therefore, 40 × 65 = 2600.
my mom will kill me please help
If the perimeter of the triangle is 64 units, then the length of the side PR is 24 units.
What is a Triangle?This is referred to as a three-sided polygon that consists of three edges and three vertices and the longest side is referred to as the hypotenuse.
The perimeter of a triangle is the sum of all the sides which is:
P = a + b + c
64 = 3x +4x - 1 + x + 1
64 = 8x
x = 64/8 = 8 units
Therefore the length of side PR is :
3x = 3 (8) = 24 units.
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19 Five multiplied by a certain number is
added to two. The result equals four
times the number plus four.
xfgxfsdfxcxcxAnswer:
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
Five multiplied by a certain number is added to two
5 * x + 2
equals four times the number plus four
= 4 * x + 4
---------------------------------------------
5x + 2 = 4x + 4
Subtract 4x from both sides
x + 2 = 4
Subtract 2 from both sides
x = 2
At the store you have 2 options for Speedy Clean Laundry Detergent. One bottle costs $4.99 for 50 fl . oz The other bottle costs $7.50 for 90 fl. oz Which is the better buy?
Answer: the bigger bottle (90 fl. oz) is better value
Step-by-step explanation:
One method is to scale the quantities up to the same value.
The LCM (lowest common multiple) of 50 and 90 is 450
9 of the smaller bottle will cost $44.95 and contain 450 fl. oz
5 of the bigger bottle will cost $37.50 and also contain 450 fl. oz
A second method is to find the cost per (say) 10 fl. oz from each bottle
In the 50 fl. oz bottle each 10 fl. oz costs 4.99 / 5 = $0.998
In the 90 fl. oz bottle each 10 fl. oz costs 7.50 / 9 = $0.8333...
The average amount of time to finish this quiz is 26 minutes with a standard deviation of 1.2 minutes. What is the probability that you will finish this quiz in 27.8 minutes or less?
Answer:What is the probability that you will finish this quiz in 23.84 minutes or less?
0.03593
Write your answer as a percentage with 2 decimals
= 3.59%
Step-by-step explanation:
The z score formula is given as:
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Mean = 26 minutes
Standard deviation = 1.2 minutes.
If the rectangular fish tank below is completely filled with water, and the 900 cubic centimeters are poured out, how high will the water
Answer:
The high of the water is 2 cm.
Step-by-step explanation:
The equation of this volume is:
[tex]V=45*10*x[/tex]
We know that the volume is 900 cm³. So we just need to put this value in the above equation and solve it for x, which is the height.
[tex]900=45*10*x[/tex]
[tex]900=450*x[/tex]
[tex]x=\frac{900}{450}[/tex]
[tex]x=\frac{900}{450}[/tex]
[tex]x=2\: cm[/tex]
Therefore, the high of the water is 2 cm.
I hope it helps you!
Khan academy. ??????? Math
Answer:
Step-by-step explanation:
There should be a video to help you probably says something like hint? then click there
Answer:
They have videos you can watch
Step-by-step explanation:
those videos will help explain them better and show you exactly how to do that problem
D) If one gallon of paint covers 0.6 square meters, how many gallons of black paint they
need to paint the house?
Show your work
The width of the house is 3.5m and the height is 2.5m
Answer:
14.5833333333
Step-by-step explanation:
3.5x2.5=8.75, divided by 0.6 is 14.5833333333
What is XY?
help me please
here x = option c and here y= option a
please help will give brainliest
Answer:
52 cm^2
Step-by-step explanation:
1) find the area of the rectangle
A = base x width = 8 x 5 = 40 cm^2
2) find the area of the triangle
A = (base x height)/2 = (8x3)/2 = 12 cm^2
3) find the total area
A = 40 + 12 = 52 cm^2
Answer:
52 cm^2Step-by-step explanation:
Area = 8 x 5 + 4 x 3 x 1/2 x 2
Area = 40 + 12 x 1/2 x 2
Area = 40 + 6 x 2
Area = 40 + 12
Area = 52
Hope that helps! :)
-Aphrodite
Calculate the sample mean and sample variance for the following distribution of heights in centimeters for an 8 year old boy
Answer: To calculate the sample mean of a distribution, you add up all the values and divide by the number of values in the sample. The sample mean is also known as the average.
The formula for the sample mean is:
X-bar = (X1 + X2 + ... + Xn) / n
To calculate the sample variance of a distribution, you first need to calculate the sample mean. Then, for each value, you subtract the sample mean and square the result. You add up all these squared differences, and divide the sum by the number of values in the sample.
The formula for the sample variance is:
s^2 = ( (X1 - X-bar)^2 + (X2 - X-bar)^2 + ... + (Xn - X-bar)^2 ) / (n - 1)
It would be helpful to have the sample data, however I cannot complete this task without it.
Please provide me with the data.
Step-by-step explanation:
find the exact value of sin 13pi/6
Answer: 0
Step-by-step explanation:
write two equivalent expressions one exponential and one a product of factors, for 4 to the 5th power evaluate the expressions
Answer:
4^5 = 1024
4×4×4×4×4 = 1024
Step-by-step explanation:
An exponential expression is going to have an exponent representing the repeated multiplication. 4 times itself 5 times over is 4^5.
A product of factors is going to show the multiplication written out sort of in a long format:
4 × 4 × 4 × 4 × 4
4^5 = 1024
4×4×4×4×4 = 1024
What is the surface area of the rectangular prism shown below?
A. 159 in2
B. 294 in2
C. 318 in2
D. 378 in2
Answer:
I am sure the answer is 300
Arnold has 4 pitchers. Each pitcher holds [tex]\frac{7}{8}[/tex] gallon of juice. Which equation can Arnold use to determine the number of gallons of juice in the pitchers?
Answer:
4 * 7/8
Step-by-step explanation:
It's asking to multiply.
please answer in full process
questions
Given L || M find the value of unknown angles in each of the following figures
Answer:
Angle x = 120 degrees
Angle y = 60 degrees
Step-by-step explanation: Angle x has to be equivalent to the 120 degree angle that is already given since lines l and m are parallel as well as lines p and q. To find angle y, you must realize that angles x and y are supplementary angles, so their sum is 180 degrees. Since we now know that angle x is 120 degrees, you must subtract 120 from 180 in order to find the value of angle y: 180 - 120 = 60 degrees. I'm sure that there are other methods to figuring this question out, but this is how I did it.
what is the measurement of the x
Answer:
55°
Step-by-step explanation:
Total: 90°
90° - 35°
55°