Answer:
The actual SAT score is 2024.
The equivalent ACT score is 29.49.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
SAT score that is in the 95th percentile
Scores on the SAT test are normally distributed with a mean of 1511 and a standard deviation of 312, which means that [tex]\mu = 1511, \sigma = 312[/tex]
95th percentile is X when Z has a pvalue of 0.95, so X when Z = 1.645. The score is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 1511}{312}[/tex]
[tex]X - 1511 = 1.645*312[/tex]
[tex]X = 2024[/tex]
The actual SAT score is 2024.
Equivalent ACT score:
The equivalent ACT score is the 95th percentile of ACT scores.
Scores on the ACT test are normally distributed with a mean of 21.1 and a standard deviation of 5.1, which means that [tex]\mu = 21.1, \sigma = 5.1[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 21.1}{5.1}[/tex]
[tex]X - 21.1 = 1.645*5.1[/tex]
[tex]X = 29.49[/tex]
The equivalent ACT score is 29.49.
Select the locations on the number line to plot the points 1, 4, and −3.
The locations of the points on the number line are:
point 1: 1 step to the right of 0.
point 4: 4 steps to the right of 0.
point -3: 3 steps to the left of 0
How to select the locations on the number line to plot points?
A number lines is an horizontal straight line in which the integers are placed in equal intervals.
All positive numbers on the number line are on the right side of zero while the negative numbers are on the left side of zero.
To locate 1: starting from 0, count 1 step to the right.
To locate 4: starting from 0, count 4 steps to the right.
To locate -3: starting from 0, count 3 steps to the left.
Check the attached image to see the points.
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Find the missing term 2,..,20,29
Answer:
11
Step-by-step explanation:
29-20= 91
2+9=11
11+9=
multiply the following binomials
(x+3)(x-4)
(s-2)(2s+4)
Step-by-step explanation:
x²-4x+3x-12
x²-x-12.
2s²+4s-4s-8
2s²-8
A traffic radar records the speed of cars driving through an intersection. It records these statistics:
Mean=36.2 mph
Median=28.5 mph
Mode=30.0 mph
What is the most common speed of a car driving through the intersection?
a. 31.6
b. 36.2
c. 30.0
d. 28.5
The most common speed of a car driving through the intersection is 30.0 mph which is indicated by the Mode.
What is the mode of data?A mode of data is defined as an observation with the highest frequency among the values that appear most frequently in the given data.
In the case of ungrouped data, all that is required is to find the observation that happens most frequently.
A traffic radar records the speed of cars driving through an intersection. It records these statistics:
Mean = 36.2 mph
Median = 28.5 mph
Mode = 30.0 mph
As per the question, a car driving through the intersection at 30.0 mph is the most common speed.
This is indicated by the Mode which is the value that appears most frequently in a data set.
Hence, the correct answer would be an option (C).
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Find the equivalent measures. Express as a decimal
(a) 250 cm =
The answer is 2.50. This, 250% in deciaml form is 2.50, in improper fraction form is 52 and as a mixed number it is 2 12. 2 1 2.
Plz help me well mark brainliest if correct!!...
Answer:
a
Step-by-step explanation:
it the only one with an area of 17 square inches
Answer: Polygon A is 17 Square units
what is the cosine of π/3
A lap around a track is 2/5 of a mile.
How many laps is a 1 1/2 mile race?
A. 4/15
B. 3/5
C. 1 1/10
D. 1 1/5
E. 3 3/4
2.2 laps is a 1 1/2 mile race.
What is a lap?When a driver or a runner makes one trip around the track i.e. one full circle it is called lap.
Given a lap around a track is 2/5 of a mile.
1 lap =2/5 mile
x lap = 11/2 mile
x lap =(11/2) ÷(2/5)
x lap = 11/5 or 2.2
Thus 2.2 laps is a 1 1/2 mile race.
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Answer pls! I hope this isn't too hard.
Answer:
8⁶/8⁻⁵8¹¹Step-by-step explanation:
When increasing the power of an integer by another power, you should multiply both powers to find the total power that the integer should be raised to. In this case therefore:
= 3 * 2
= 6
So the numerator will be 8⁶
When dividing the same integers raised to powers, you should subtract the power of the divisor from the power number being divided.
In this case therefore, you are to subtract (-5) from 6 (calculated in first part).
= 6 - (-5)
= 6 + 5
= 11
Another way of writing the above will therefore be: 8¹¹.
(3,4) m=0
Formula
Y-y=m(x-x1)
Answer:
[tex]y1 = 4 \\ x1 = 3[/tex]
[tex]y - y1 = m(x - x1)[/tex]
[tex]y - 4 = 0(x - 3)[/tex]
[tex]y - 4 = 0[/tex]
[tex]y = 4[/tex]
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
9.3
Step-by-step explanation:
Answer:
9.3
Step-by-step explanation:
[tex]A^{2} +B^{2} =C^{2}[/tex]
[tex]6.1^{2} +7^{2} =C^{2}[/tex]
[tex]37.21+49=C^{2}[/tex]
[tex]86.21=C^2[/tex]
[tex]9.28493403315=C[/tex]
[tex]9.3=C[/tex]
8. Crayons are packed in boxes of 8 and 10 pieces. What is the smallest number of crayons
that can be packed using the boxes?
B. 48 crayons
C. 50 crayons
A. 40 crayons
D. 54 crayons
Step-by-step explanation:
48 is the answer it is correct check it
Help me out with these please!
Step-by-step explanation:
1. a) q=4+0.8(7)
q=4+5.6
q=9.6
b) q=4+0.8(100)
q=4+80
q= 84
2. a) 12=4+0.8p
-4 -4
8=0.8p
0.8 0.8
10=p
b) 60=4+0.8p
-4 -4
56=0.8p
0.8 0.8
70=p
Answer:
Q1. a) q= 9.6
b) q= 84
Q2. a) p= 10
b) p= 70
Step-by-step explanation:
Substitute the equation with the given value and solve the equation to arrive at the answer.
Q1. a) q= 4 +0.8p
When p= 7,
q= 4 +0.8(7)
q= 4 +5.6
q= 9.6
b) q= 4 +0.8p
When p= 100,
q= 4 +0.8(100)
q= 4 +80
q= 84
Q2. a) q= 4 +0.8p
When q= 12,
12= 4 +0.8p
0.8p= 12 -4 (-4 on both sides)
0.8p= 8
p= 8 ÷0.8 (÷0.8 on both sides)
p= 10
b) q= 4 +0.8p
When q= 60,
60= 4 +0.8p
0.8p= 60 -4 (-4 on both sides)
0.8p= 56
p= 56 ÷0.8 (÷0.8 on both sides)
p= 70
The school cafeteria offers three choices for the main course (peanut
butter and jelly sandwich, burrito, or fish sticks) and two choices for the
side dish (vegetables or potatoes) and three choices for the dessert (ice
cream, brownie, or cookies). How many different combinations can the
students order from these choices?
Answer: 18 different combinations
Step-by-step explanation: When finding out combinations, you just multiply all the numbers. In this case, it would be 3x2x3 which equals 18. Please mark brainliest <3
Which is the largest interval over which the function shown in the table is increasing?
A. X<-2
B. X<0
C. X>0
D. X>2
Step-by-step explanation:
I would suggest graphing the function, as I did, and you will find the function is an inverted parabola.
The function is increasing at points along the function that have a positive slope. Imagine a line tangent to the function where m is > zero
based on that and the graph you can see that the function is increasing with a positive slope at all points less than zero x<0 answer B
3 2/5 divided by 2 7/8 equals
Answer:
17/5÷23/8= 1 21/115
The answer is 1 21/115
20 Points HELP IN NEED!!!!!!
Each scoop radius (center to surface) is 3 cm long. What should be the capacity (volume) of the cylindrical container the shop pack the ice cream to take out?
Answer:
at least 226.2
Step-by-step explanation:
Add the 2 volumes of the scoops, one scoop is 113.1
HELP ASAP!
In baseball, each time a player attempts to hit the ball, it is recorded. The ratio of hits compared to total attempts is their batting average. Each player on the team wants to have the highest batting average to help their team the most. For the season so far, Jana has hit the ball 7 times out of 10 attempts. Tasha has hit the ball 10 times out of 16 attempts. Which player has a ratio that means they have a better batting average?
Tasha, because she has the lowest ratio since 0.7 < 0.625
Tasha, because she has the highest ratio since 56 over 80 is greater than 50 over 80
Jana, because she has the highest ratio since 56 over 80 is greater than 50 over 80
Jana, because she has the lowest ratio since 0.7 < 0.625
Answer: The correct answer is C. Jana has a higher ratio of hits to total attempts, so she has a better batting average. This can be calculated by dividing the number of hits by the number of attempts: Jana's batting average is 7/10 = 0.7, and Tasha's batting average is 10/16 = 0.625. Since 0.7 is greater than 0.625, Jana has a higher batting average.
y=1/4x+4, solve for x
[tex] \huge\pmb{\red{A}\pink{N}\orange{S}\blue{W}{E}\purple{R᭄}}[/tex]
[tex]\sf y = \frac{1}{4} \red{x} + 4[/tex]
[tex]\sf y = \frac{\red{x}}{4} + 4[/tex]
[tex]\sf y = \frac{\red {x}+4*4}{4}[/tex]
[tex]\sf y = \frac{\red {x}+16}{4} [/tex]
[tex]\sf y = \frac{\red {x}+16}{2^2}[/tex]
[tex]\sf 4y = \red {x}+16[/tex]
[tex]\sf 4y+(-16) = (\red x+16) + (−16)[/tex]
[tex]\sf 4y− 16 = \red{x }+ 16 − 16[/tex]
[tex]\sf 4y-16= \red x[/tex]
[tex]\boxed{ \sf\red{x} = 4y-16}[/tex]
_____________________....
[tex] \pmb{\color{purple}{LearningLifell}}[/tex]
What type of counting problem is this? How many different sequences of 3 playing cards (from a single 52-card deck) exist?
Combination without repetition
Permutation without repetition
Permutation with repetition
Combination with repetition
Answer:
Permutation without repetition
Step-by-step explanation:
The order of the cards matter, which makes it a permutation, but since none of the cards are exactly the same, repetition isn't allowed/possible
The problem is of the type permutation without repetition.
What is permutation and combination?
Permutation and combination are the methods used in counting how many outcomes are possible in various situations. Permutations is used in the case of arrangements and combinations is used in the case of selections.
What will use in the given scenario?In the given scenario, the order of cards is a priority therefore, permutation will use.
Also, the cards are not repeating in the scenario.
Therefore, the sequence is permutation without repetition.
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Teresa's fish tank has 17 liters of water in it. She plans to add 6 liters per minute until the tank has at least 71 liters. What are the possible numbers of minutes
Teresa could add water?
Uset for the number of minutes
Write your answer as an inequality solved for t.
Answer:
about 11 or 12, the specifically 11.8
Step-by-step explanation:
hope that helps dont know how to do the inequality part tho
A researcher wishes to determine what percentage of college freshmen also work full time. To do this, the researcher obtains a list of all enrolled freshunen, manipulates the list so that females appear twice is often as males, and then selects from this list
a. Probability Sampling
b. Convenience Sampling
c. Voluntary Sampling
d. Stratified Sampling
e. None of the above
Answer:
d. Stratified Sampling
Step-by-step explanation:
Stratified Sampling is a form of sampling in which the researcher selects a population sample based on a demographic factor or strata such as race or gender. From the different strata, a random sample is then made such that each group or subpopulation is represented in the final sample.
It should be noted that retaining the percentages while selecting a randomized sample is essential to stratified sampling.
Hence, in this case, when the researcher obtains a list of all enrolled freshmen, manipulates the list so that females appear twice as often as males, and then selects from this list, this is an example of stratified sampling
ami
This table shows a proportional relationship between the number of students in a school and the
number of buses required to get them to and from school.
Number of
Buses
Number of
Students
64
2
128
4
192
6
Enter the number of students in 1 school bus.
Answer:
32Step-by-step explanation:
As per table we have:
2x = 64 or 4x = 128 or 6x = 192 ⇒ x = 3232 students in 1 school bus
u
Question 8
Find the value of the variable in the parallelogram.
(6a + 10)
130°
Answer:
20
Step-by-step explanation:
(6a + 10) = 130
(6 x 20) + 10 = 130
120 - 10 = 130
130 = 130
What is the slope of the line that passes through the points (-4, -6) and (1, -6)? Write your answer in simplest form
The slope of the line that passes through the points (-4, -6) and (1, -6) is zero and hence the line is parallel to the x-axis.
What is slope?The slope is the rate of change of the y-axis with respect to the x-axis.
The equation of a line in slope-intercept form is y = mx + b, where
slope = m and y-intercept = b.
We know the greater the absolute value of a slope is the more steeper is its graph or rate of change is large.
We know slope(m) = (y₂ - y₁)/(x₂ - x₁).
Therefore, The slope of the line that passes through the points (-4, -6) and (1, -6) is,
m = (- 6 + 6)/(- 4 - 1).
m = - 0/5.
m = 0.
As the slope is equal to zero the line is parallel to the x-axis.
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!!!!!! URGENT PLS HELP ME ANSWER !!!!
Answer:
1) A = 547.1136, C = 82.896
2) A = 678.5226, C = 92.316
3) A = 844.5344, C = 102.992
4) A = 1554.49625, C = 139.73
5) A = 1561.4906, C = 140.044
6) A = 994.8776, C = 111.784
Step-by-step explanation:
1)
[tex]A = \Pi (\frac{D}{2})^2 = 3.14 * (\frac{26.4}{2})^2 = 3.14 * 13.2^2 = 547.1136[/tex]
[tex]C = \Pi D = 3.14 * 26.4 = 82.896[/tex]
2)
[tex]A = \Pi r^2 = 3.14*(14.7)^2 = 678.5226[/tex]
[tex]C = 2\Pi r = 14.7*2 * 3.14 = 92.316[/tex]
3)
[tex]A = \Pi (\frac{D}{2})^2 = 3.14 * (\frac{32.8}{2})^2 = 3.14 * 16.4^2 = 844.5344[/tex]
[tex]C = \Pi D = 3.14 * 32.8 = 102.992[/tex]
4)
[tex]A = \Pi (\frac{D}{2})^2 = 3.14 * (\frac{44.5}{2})^2 = 3.14 * 22.25^2 = 1554.49625[/tex]
[tex]C = \Pi D = 44.5*3.14 = 139.73[/tex]
5)
[tex]A = \Pi r^2 = 3.14*22.3^2 = 1561.4906[/tex]
[tex]C = 2\Pi r = 2 * 3.14 * 22.3 = 140.044[/tex]
6)
[tex]A = \Pi r^2 = 3.14 * 17.8^2 = 994.8776[/tex]
[tex]C = 2\Pi r = 2 * 3.14 * 17.8 = 111.784[/tex]
3. Solve for m. Please help
Answer:
m = 13 or greater
Step-by-step explanation:
20 - 7 = 13
13 is the minimum value for m to satisfy the inequality.
Answer:
m ≥ 13
Step-by-step explanation:
m+7 ≥ 20
Subtract 7 from both sides:
m+7-7 ≥ 20-7
m ≥ 13
The design of a digital box camera maximizes the volume while keeping the sum of the dimensions at 4.5 inches. If the length must be 1.5 times the height, what should each dimension be?
Question 2(Multiple Choice Worth 2 points)
(Pythagorean Theorem and the Coordinate Plane MC)
Determine the length and g the line segment shown
!!!!please help me!!!!
The measurement of the hypotenuse is obtained as 9 units using the Pythagoras theorem.
What is Pythagoras Theorem?
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.
According to the graph -
The perpendicular measures 4 units.
The base measures 3 units.
To find the hypotenuse g apply the Pythagoras theorem -
(hypotenuse)^2=(base)^2+(perpendicular)^2
(g)^2=(3)^2+(4)^2
(g)^2=9+16
(g)^2=25
g=[tex]\sqrt{25}[/tex]
g=5
Therefore, line segment g measures 5 units.
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For accounting purposes, the value of assets (land, buildings, equipment) in a business are depreciated at a set rate per year. The value, V(t) of $537,000 worth of assets after t years, that depreciate at 17% per year, is given by the formula V(t) = Vo(b)t. What is the value of Vo and b, and when rounded to the nearest cent, what are the assets valued at after 9 years?
a
Vo = $537,000, b = 0.17, and the value after 9 years is $0.45
b
Vo = $537,000, b = 0.83, and the value after 9 years is $100,386.92
c
Vo = $537,000, b = 1.17, and the value after 9 years is $98,291.76
d
Vo = $537,000, b = 0.83, and the value after 9 years is $91,290.00
Answer:
I think it is D
Step-by-step explanation: