Answer: The z-score for an ACT score of 26 is 0.17.
Step-by-step explanation:
Z-score:
In a set with mean and standard deviation , the zscore of a measure X is given by:
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 pvalue, we get the probability that the value of the measure is greater than X.
In a particular year, the mean score on the ACT test was 25 and the standard deviation was 5.9.
This means that
Find the z-score for an ACT score of 26.
This is Z when X = 26. So
The z-score for an ACT score of 26 is 0.17.
The z-score for an ACT score of 26 is 0.17.
What is z-score?
When assessed in terms of standard deviation units, a raw score's location in relation to its distance from the mean is indicated by a z-score. If a value is above the mean, the z-score is positive; if it is below the mean, it is negative.
In a set with mean and standard deviation , the z-score of a measure X is given by: z-score=(x-μ)/σ
How do you find z-score?
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 pvalue, we get the probability that the value of the measure is greater than X.
In a particular year, the mean score on the ACT test was 25 and the standard deviation was 5.9.
This means that
We need to find z-score for an ACT score of 26.
This is Z when X = 26. So
The z-score for an ACT score of 26 is 0.17
Learn more about z-score,
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Aboard is cut into 12 equal pieces. How many pieces together represent 3/4 of the board? Explain how you arrived at your answer?
Answer:
9 pieces represent 3/ 4 because
3/4 × 12 parts = 9 parts
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Answer:
9 pieces
Step-by-step explanation:
12 x 3/4 = 9 or
3/4 converted to a decimal = .75 and 12 x .75 = 9
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Which of the following describes the data set?
50, 59, 60, 61, 70, 76, 80
O A. Minimum = 80
First quartile = 60
Median = 60.5
Third quartile = 59
Maximum = 50
B. Minimum = 50
First quartile = 59
Median = 61
Third quartile = 76
Maximum = 80
O C. Minimum = 50
First quartile = 80
Median = 73
Third quartile = 60
Answer:
B is the correct answer as it qualifies for all the answers correctly.
The points (3,h) and (10,1) fall on a line with a slope of
4/7 What is the value of h?
Answer:
h = -3Step-by-step explanation:
Use slope formula:
(1 - h)/(10 - 3) = 4/7(1 - h) / 7 = 4/71 - h = 4h = 1 - 4h = -3Answer:
The answer is h = -3
Step-by-step explanation:
(1 - h)/(10 - 3) = 4/7
(1 - h) / 7 = 4/7
1 - h = 4
h = 1 - 4
h = -3
Given f(x) = 6(1-x), what is the value of f(-8)?
Answer:
7/3
Step-by-step explanation:
1x6
1x(-x)
subtract and solve
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What kind of graph would be best to show the results of a group of students who were asked about their favorite kind of pizza. Explain your answer in complete sentences.
Answer:
A graph that would be best for a group of students trying to figure out there favorite pizza is a pie graph.
Step-by-step explanation:
Use the distributive property to multiply the expression.9m (7m+2)
Answer:
63m^2 + 18m
Step-by-step explanation:
9m x 7m + 9m x 2
63m^2 + 9m x 2
63m^2 + 18m
the ^2 meaning exponent 2
Which ordered pair represents the y-intercept of the graph of the equation y = - 4 x - 7 ?
Answer:
(0, -7)
Step-by-step explanation:
Since -4x is the slope, then -7 is the y-intercept.
For finding y intercept we substitute x=0
y = -7
The ordered pair would be
(0,-7)
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20 Points Please help me
Answer:
98 inches
Step-by-step explanation:
Multiply the top length by the bottom length
HELP ME PLEASE PLEASE PLEASE
Answer:
( 4 x 10 y )
Step-by-step explanation:
Question 9 of 10 What is the median of the data set represented by the box plot shown below? A. 67 B. 50 O C. 56 D. 45
/please help\
Answer:
B) 50
Step-by-step explanation:
min = 38
quartile 1 = 45
median = 50
quartile 3 = 67
maximum = 75
Distance between Train 1 and Train 2 = 95 miles.
Average speed of Train 1 = 45 mph.
Average speed of Train 2 = 60 mph.
If both trains leave at the same time and travel toward each other but on parallel tracks, in how much time will their engines be opposite each other? (Hint: When the engines are opposite each other, together the trains will have traveled 95 miles. Their relative speed of travel is the sum of their respective speeds, or 105 mph.)
Travel time = hours.
9514 1404 393
Answer:
19/21 hours, about 54 minutes 17 seconds
Step-by-step explanation:
The time is found from ...
time = distance/speed
time = (95 mi)/(105 mi/h) = 95/105 h = 19/21 h
The trains will meet after 19/21 hours, about 54 minutes, 17 seconds.
Answer:
19
Step-by-step explanation:
Ms. Jankowski’s art class has a total of 35 students enrolled. Seven of the thirty-five students are girls. What percentage of the class is made up of boys? *
Answer:
80% of the class is made up of boys
Step-by-step explanation:
7/35 are girls, which means, 28/35 are boys (35 - 7)
To find the percentage, you divide 28 by 35
28/35 = 0.8 or 80%
Maria works for an international marketing consulting group. She is studying the monthly demands for Range Rover (suv) in two different cities of the country. She has 180,000 new Range Rovers to ship to the two cities, and she decides to ship 40,000 more to New York City than to Boston. Find the number of (suv) to be shipped to New York City . Please no link I can't open them
Answer:
110,000 (suv) to be shipped to New York City
Step-by-step explanation:
We know that there are 180,000 (suv) to be shipped in total. We also know that there are two cities which these (suv) must be shipped to. So, that is 180,000 (suv) to be shipped to two cities. Let's right a true equation with this information:
Let n represent the number of (suv) to be shipped to New York City and b represent the number of (suv) to be shipped to Boston.
n + b = 180,000
Now, we also know that the number of (suv) to be shipped to New York City is 40,000 greater than the number of (suv) to be shipped to Boston. So, we can write another true equation (for the sake of convenience, let's write it in terms of b rather than in terms of n):
b = n - 40,000
Now that we have a value for b in terms of n, we can plug this value into b in our first equation:
n + (n - 40,000) = 180,000
From here, we can solve:
n + n - 40,000 = 180,000
2n - 40,000 = 180,000
2n = 220,000
n = 110,000
Thus, we have our final answer.
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A coin and a number cube with the numbers 1 through 6 are tossed. What
is the probability of the coin showing tails and the number cube showing
the number 3?
a. 1/12
b. 1/4
c. 1/8
d. ½
with some justification please
Answer:
yes
Step-by-step explanation:
opo
look at pic 10 pts will mark brainilest
Answer:
12h = 432
Step-by-step explanation:
Explain distributive property
Answer:
distributive property of binary operations generalizes the distributive law from elementary algebra, which asserts that one has always {\displaystyle x\cdot =x\cdot y+x\cdot z.} For example, one has 2 ⋅ = +. One says that multiplication distributes over addition.
Answer:
Look at attachment:
Step-by-step explanation:
Hope this helps! :)
Evaluate :
[tex] \frac{3}{8} + \frac{2}{9} [/tex]
[tex] \frac{4}{9} + \frac{1}{2} [/tex]
In the context of temperature, what would -4 degrees celsius describe?
A.4 degrees above freezing
B.4 degrees below freezing
C.-4 degrees
D.4 degrees below sea level
the probability that sandra gets a ride to work on any morning is 0.7. the probability that she gets a ride 3 times in a 5-day week is , abd the probability that she gets a ride at least 2 times in a 5-day workweek is .
Answer: 0.309, 0.969.
Step-by-step explanation: plato answer
Omar the tent maker wishes to support a 13.4-ft tent wall by attaching 25-ft cable to the top of it, and then anchoring the cable to the ground. If the cable is pulled tight, how far from the base of the tent will it be anchored?
Answer:
21.11 ft
Step-by-step explanation:
This question would be solved using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
13.4² + b² = 25²
179.56 + b² = 625
b² = 625 - 179.56
b = 445.44
find the square root of 445.44
b = 21.11 ft
Tyler has a three-dimensional shape with a bottom layer of 12 cubic inches. What is the volume of this figure if it has 3 layers all together?
Answer:
1 Tyler=12in³
3 Tyler =12×3=36in³
Plz help me! Well mark brainliest if correct!
Answer:
diameter you are learning that the circle as a line in the middle goes across and the diameter
(2/3)^4=
am very confuse guys help!!!
Answer:
16/81
Step-by-step explanation:
Lets break it down
When you see ^4, you are multiplying the base ( 2/3 ) by itself 4 times
So lets write the equation
[tex]\frac{2}{3} *\frac{2}{3} *\frac{2}{3} *\frac{2}{3} = x\\[/tex]
[tex]\frac{4}{9} *\frac{4}{9} =x[/tex]
[tex]\frac{16}{81} =x\\x= \frac{16}{81}[/tex]
If my answer is wrong pls correct me.
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Find the distance between the pair of points (-1, 4) and (-3, 7)
no links
Answer: d=sqrt(13)=3.605
Step-by-step explanation:
We know that the distance between the two points (x 1 ,y 1 ) and (x2,y 2 ) is
d= sqrt((x2-x1)^2 +(y2-y1)^2 )
as given
x1=-1 ,y=4 ,x2=-3,y2=7
d=sqrt((-3+1)^2+ (7-4)^2)
d=sqrt((-2)^2+(3)^2)
d=sqrt(4+9)
d=sqrt(13)=3.605
9) Choose all expressions that are equivalent to 3x + 6 (Use
Algebra tiles if needed)
a) -2x - 4 + 5x + 10
b) 3(x + 6)
c) x + 4 - 2x + 2
d) 3(x + 2)
Answer:
3(x+2)
Step-by-step explanation:
3x+6
Factor out 3.
3(x+2)
PLS ANSWER FAST WILL GIVE BRANLIEST
Answer:
m<RTS=63
m<PTQ=27
Step-by-step explanation:
8x-17=5x+13
x=10
5(10)+13=63
8(10)-17=63
<RTQ=<UTQ
90-63=27
find the greatest four digits number which is divisible by 12, 18 and 30
Answer:
8100
Step-by-step explanation:
8100/12=675
8100/18=450
8100/30=270
Answer:
Therefore, 8100 is the highest four digit perfect square number which is divisible by 12,18 and 30.
Step-by-step explanation:
Below are two parallel lines with a third line intersecting them
Answer:
its 122
Step-by-step explanation:
just did it on khan academy
A fitness instructor measured the heart rates of the participants in a yoga class at the conclusion of the class. The data is summarized in the histogram to the right. There were fifteen people who participated in the class between the ages of 25 and 45. Use the histogram to answer the question. What is the approximate percentage of participants that had a heart rate less than 130 bpm?
Answer and Explanation:
Please find full question attached
From the bar chart, we can see that the the interval 130-150 has two bars in it:
Interval 130-140 with the highest frequency of 5
Interval 140-150 with frequency of 2
Therefore to find the percentage between 130-150 we add up the frequencies 2+5=7 and divide by the total frequency of 15 people all multiplied by 100
=7/15×100= 46.67%
Percentage of participants with heart rate between 130 and 150 =46.67%