Answer:
106
Step-by-step explanation:
Bring the values to one side and change the signs
Always substitute in brackets
_=136+(-30)
106=136-30
Thus your answer is 106
A university will add fruit juice vending machines to its classroom buildings if the student body president is convinced that more than 20 percent of the students will use them. A random sample of n students will be selected and asked whether or not they would use the vending machines. A large-sample test for proportions at the significance level of α = 0.05 will be performed. The null hypothesis that the proportion of all students who would use the vending machines is 20 percent will be tested against the alternative that more than 20 percent of all students would use them. For which of the following situations would the power of the test be highest?
A
The sample size is n = 750, and 20 percent of all students use the vending machines.
B
The sample size is n = 750, and 25 percent of all students use the vending machines.
C
The sample size is n = 1,000, and 25 percent of all students use the vending machines.
D
The sample size is n = 500, and 50 percent of all students use the vending machines.
E
The sample size is n = 1,000, and 50 percent of all students use the vending machines.
Answer:
E) The sample size is n = 1,000, and 50 percent of all students use the vending machines.
Step-by-step explanation:
CollegeBoard
For the following situations the power of the test be highest is, The sample size is n = 1000, and 55 percent of all students actually use the vending machines. So Option C is correct
What are the factors that affects the hypothesis test ?The power of the hypothesis test depends on three factors.
1. Sample size (n). Other things being equal, the greater the sample size, the greater the power of the test.
2. Significance level (α) : which is constant in this question.
(3) The "true" value of the parameter being tested. The greater the difference between the "true" value of a parameter and the value specified in the null hypothesis, the greater the power of the test.
Given that,
A random sample of n students will be selected
A large-sample test for proportions at the significance level of α = 0.05
The null hypothesis that the proportion of all students who would use the vending machines is 20%
Power of test would be highest,
For the largest sample size
Option C, has largest sample size
difference = true value - value specified in null hypothesis
= 55 - 20
= 35
both the conditions are satisfied for being a highest power of the test
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-3(p-7) ≥ 21 sovleplzzz
Answer:
-3p+21≥21
Step-by-step explanation:
A person's systolic blood pressure, which is measured in millimeters of mercury (mm Hg), depends on a person's age, in years. The equation: P = 0.006 y 2 − 0.02 y + 121 gives a person's blood pressure, P , at age y years. A.) Find the systolic pressure, to the nearest tenth of a millimeter, for a person of age 40 years. B.) If a person's systolic pressure is 130.74 mm Hg, what is their age (rounded to the nearest whole year)?
Answer:
129.8 mmHg
42 years
Step-by-step explanation:
Given the relation :
P = 0.006 y² − 0.02 y + 121
Systolic blood pressure, P
Age, y
A.)
Find P when age y = 40
P = 0.006(40)² − 0.02(40) + 121
P = 9.6 - 0.8 + 121
P = 129.8 mmHg
B)
P = 130.74 mmHg
y =?
130.74 = 0.006y² − 0.02y + 121
130.74 - 121 = 0.006y² − 0.02y
9.74 = 0.006y² − 0.02y
0.006y² − 0.02y - 9.74 = 0
Using a quadratic equation solver :
The roots are 41.99 and - 38.66
Age cannot be negative ;
Hence age = 41.99 = 42 years
find the volume of a plastic cube vuilding block with a side length of 12 centimeters
Step-by-step explanation:
Length of the plastic cube (L) = 12 cm
Volume of the cube
= L³
= ( 12)³
= 1728 cm³
Hope it will help :)❤
If the spinner is spun one time, what is the probability of the arrow NOT landing on a section labeled with an even number?
Which arrangement of blocks has the least surface area?
Answer:
8 cubes separated
Step-by-step explanation:
I NEED HELP ASAP
FIND THE MEASURE OF MISSING ANGLE
Answer:
50
Step-by-step explanation:
a right triangle is = to 180 so you need all angles to add to 180 so you take 180 minus it by 90 and 40 you are left with 50 degrees
Can you plz help right answer plz
Answer:
4.8 inches
Step-by-step explanation:
Quadrilateral A'B'C'D'is the result of rotating quadrilateral ABCD by 60° about the origin.
Choose all answers that apply
a. BC and B'C' are both parallel to the y-axis
b. <B and <B' have the same measures
c. D and D' have the same coordinates
d. none of the above
Answer:
a. No
b. Yes
c. No
Step-by-step explanation:
a. For BC and B'C to both be parallel to the y-axis when BC is parallel to the y-axis the figure must be rotated by a multiple of 180 degrees.
b. When you rotate a figure none of the angles in the figure change.
c. For D and D' to have the same coordinates the figure must be rotated by 360.
In a bowl of fruit, there are green grapes and black grapes in the ratio 3: 4
If there are 24 green grapes, how many black grapes are there?
need help on question 22 and 23 , ill give extra points
Simplify -12x + 5x - x show work plz
Answer: -8x
Step-by-step explanation:
First, we need to take our given numbers
-12x+5x-x
Now let's start with the start of the equation
-12x + 5x = -7x
Now we take -7x and -x
-7x - x = -8x
Convert the fraction 5/8 to decimal using long division method
HEY I NEED HELP PLEASE
Andera worked 11 hour and 25 minutes last week at her job after school. How many minutes did she work?
Answer:
685
Step-by-step explanation:
11 hours = 660 minutes
660 + 25
19.8.EE.6 Find the missing RISE given the similar triangles below:*
8.
14
4
Answer:
7
Step-by-step explanation:
Given that these triangles are similar, their sides are in ratio. Let x denote the missing RISE.
Top triangle : bottom triangle
14/8 = x/4
1.75 = x/4
x=7
OMG HELP ME PLEASEEEEEEEEEEEEEEEEEEEEEEEE
Which choices are correct when determining the distance between −56 and 44?
A) The distance is 12 units.
B) The distance is 100 units.
C) distance = |−56 + 44|
D) distance = |−56 − 44|
E) distance = −|−56 + 44|
The correct way of determining the distance between −56 and 44 is distance = |−56 − 44|
What is distance?Distance is referring to the numerical measurement of how far an object is from a particular place.
Given that, what is correct way to determine the distance between -56 and 44,
So, the distance will be = |-56-44|
= |-100|
= 100
Hence the correct way of determining the distance between −56 and 44 is distance = |−56 − 44|
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Find the
area of each
triangle.
9 m
5 m
8m
Answer:
22.5 [tex]m^{2}[/tex]
Explanation:
The equation for the area of a triangle is [tex]\frac{1}{2}[/tex]bh
In this case, the base is 9 m and the height is 5 m
9x5=45
45/2= 22.5
find the ratio of 20 : 50
Answer:
20:50
20/50=40%
A theatre has 46 rows.
There are 42 seats in each row.
During a show at the theatre, there are 50 empty seats.
Work out how many people are watching the show.
Answer:
1882
Step-by-step explanation:
46x42=1932 1932-50=1882
There is an ice cream cake in the freezer. On Monday, the family eats 1/2 of
the cake. On Wednesday, they eat 1/4 of the cake. How much did the family
eat altogether?
Answer: 2/4
Step-by-step explanation: Easy 2 + 2 = 4
Sharmila had 5/6 portion of the cake. She gave 2/6 portion of the whole cake to
her brother, then how much cake will remain with her?
Answer: [tex]\dfrac{3}{6}[/tex]
Step-by-step explanation:
Given
Sharmila has [tex]\frac{5}{6}[/tex] portion of cake
she gave [tex]\frac{2}{6}[/tex] portion to her brother
The remaining cake is given by
[tex]\Rightarrow \dfrac{5}{6}-\dfrac{2}{6}=\dfrac{5-2}{6}\\\\\Rightarrow \dfrac{3}{6}[/tex]
i.e. [tex]\frac{3}{6}[/tex] portion of cake will remain with her
Another friend's distance d from you (in feet) after t seconds is given by
d = |80 - 5t|. What does the 80 in the equation represent? What does the 5 in the equation represent? At what times is she 60 ft from you?
please help soon!! will award brainliest
three shapes. three areas to find. three areas to add together to find the whole area. gotcha.
Step-by-step explanation:
smaller rectanglelarger rectangleright trianglesmaller rectangle:
length is 7 cm and width is 4 cm, so the area is 28 square cm
larger rectangle:width is 4 cm and length is 10 cm, so the area is 40 square cm
Because the weird shape's bottom length was 13 cm. There are 3 cm and 7 cm on the top length(s) of the weird shape, next to each other. Looking at the dash lines, when adding 3 cm and 7 cm together, the larger rectangle's length is 10 cm.
right triangle:base is 3 cm and height is 8 cm, so the area is (3x8)/2 = 24/2 = 12 square cm
With knowledge from figuring out the larger rectangle's length being 10 cm and the weird shape's bottom length being 13 cm, we know the right triangle's base is 3 cm. (13 cm - 10 cm = 3 cm for the base of the right triangle).
Due to adding 4 cm and 4 cm of weird shape's width, which is also a right triangle's height.
weird shape's area from adding three shapes' areas:28 + 40 + 12
= 80 square cm (ANSWER)
A density graph for all of the possible times from 50 seconds to 300 seconds
can be used to find which of the following?
A. The probability of a time from 75 seconds to 350 seconds
B. The probability of a time from 25 seconds to 250 seconds
C. The probability of a time from 150 seconds to 350 seconds
D. The probability of a time from 75 seconds to 250 seconds
Answer: D. took quiz :)
Step-by-step explanation:
Answer: d. the probability of a time from 75 seconds to 250 seconds
Step-by-step explanation:
About 25% of the students at a college are freshmen. Of those, about 50% are women. Does that mean that 75% of the students at the college are freshmen women? Explain
말 8.) A baker is ordering eggs for the week. How many cartons of 6 eggs would a baker need to have 225 eggs all together? Explain the reasoning for your answer. (4 pts.)
Answer:
38
Step-by-step explanation:
We know that each carton contains 6 eggs and we need a total of 225. To find this answer, divide 225 by 6, which is 37.5. We would have to round up one because you cannot buy half of a carton. So the answer is 38 cartons.
Garland put 2b + 3 dollars in the bank in the first week. The following week he doubled the first week’s savings and put that amount in the bank. The next week he doubled what was in the bank and put that amount in the bank. If he now has $477 in the bank, how much did he put in the bank the first week
Answer:
1st week deposit= 2b+3
2nd week deposit=2(2b+3)
3rd week deposit=4(2b+3)
Total deposit=2b+3+2(2b+3)+6(2b+3)
=9(2b+3)
=18b+27
18b+27=477
18b. =477-27=450
18b. =450
;
b=450/18=25
Therefore 2b+3=2(25)+3 =50+3=53
PLEASE GIVE BRAINLIEST
6. (09.04 LC)
For the equation y = 6x2 – 9x + 22, choose the correct application of the quadratic formula. (5 points)
X
-6+1(6)- 4(-9)(22)
2(-9)
X
6 + (6)- 4-9)(22)
21-9)
--9 +1(-99) - 4(6)(22)
X
2(6)
X
9+(-9) - 4(6)(22)
2(6)
Given:
The quadratic equation is
[tex]y=6x^2-9x+22[/tex]
To find:
The correct application of the quadratic formula.
Solution:
If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then the quadratic formula is
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
We have,
[tex]y=6x^2-9x+22[/tex]
Putting [tex]y=0[/tex], we get
[tex]6x^2-9x+22=0[/tex]
Here, [tex]a=6,b=-9,c=22[/tex]. Using the quadratic formula, we get
[tex]x=\dfrac{-(-9)\pm \sqrt{(-9)^2-4(6)(22)}}{2(6)}[/tex]
The correct application of the quadratic formula is [tex]x=\dfrac{-(-9)\pm \sqrt{(-9)^2-4(6)(22)}}{2(6)}[/tex].
Note: The options are not in proper format.
NEED HELP MY GRADE DEPENDS ON THIS QUESTION!!!
Write a congruence statement that describes the figures below.
Answer:
✓ triangle GSP = triangle RKF
Step-by-step explanation:
have a great day!