Answer:
Test score of 75.7.
Step-by-step explanation:
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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
The results are normally distributed with a mean test score of 60 and a standard deviation of 8.
This means that [tex]\mu = 60, \sigma = 8[/tex]
Calculate the test score above which 2.5% of all test scores lie.
Above the 100 - 2.5 = 97.5th percentile, which is the value of X when Z has a pvalue of 0.975, so X when Z = 1.96.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.96 = \frac{X - 60}{8}[/tex]
[tex]X - 60 = 8*1.96[/tex]
[tex]X = 75.7[/tex]
Test score of 75.7.
How do I solve equation 24=2a + 6
Answer:
9
Step-by-step explanation:
24 - 6 = 18 divided by 2 is 9 so a must be 9
solve for x
x/45=3
:)
Answer:
135
Step-by-step explanation:
x×1=45×3
cross multiply
x=135
(9, 19) (2, 16)
Write the coordinates as decimals or integers.
Answer:
In decimal 0.428571428
Step-by-step explanation:
The slope = (y2 - y1)/(x2 - x1) y2 = 16, y1 = 19x2=2 and x1=9
The slope = (16 - 19)/(2 -9)
The slope = (-3)/(-7)
The slope = 0.428571428
So in decimal form the coordinates are going to be written as 0.428571428
Slope is the steepness of a line, it is the difference between the y coordinates divided by the difference in x coordinates.
A chess club with 80 members is electing a new president. Elsa received 64 votes. What percentage of the club members voted for Elsa?
Answer:
80%
Step-by-step explanation:
Find the area of the following figure:
Answer:
91 cm squared
Step-by-step explanation:
Find the area of the rectangle 7 x 10=70
Triangle are (6 x 7)/2=21
Add 21+70=91
Answer:
91
Step-by-step explanation:
Dustin went out for a walk with some friends. After a few minutes of walking, he suddenly realized he had left his wallet behind. He ran back to his house to get it, then had to run to catch up with his friends. Choose the graph below that models Dustin’s distance from home. * A. B. C.
Answer:
a
Step-by-step explanation:
Kevin answered 80% of the questions on his test correctly. if he answered 20 questions correctly. how many total questions were the test?
Answer:
There were 25 questions total on the test.
Step-by-step explanation:
Hope this helps!
If a ^-1/2 = x, where a > 0, what is a in terms of x?
a. √x
b. -√x
c. 1/x^2
d. -1/x^2
9514 1404 393
Answer:
c. 1/x^2
Step-by-step explanation:
You want to solve for a:
1/√a = x
1/a = x^2 . . . . . square both sides
1/x^2 = a . . . . . multiply both sides by a/x^2
Answer:
14743
Step-by-step explanation:
B. the business world and its industries control those in poverty
C. that the place is polluted and depressing
True or False: Since negative numbers are just numbers, then doing the same thing to each side of an equation works for negative numbers as well.
Answer:
I believe it's true
Step-by-step explanation:
I hope this helps
Select the correct answer. A farmers' group conducted an experiment to determine which fertilizer is better for plant growth. One fertilizer contains a urea supplement, while the other does not contain the urea supplement. For the experiment, they randomly selected 20 plants of the same species growing in their area. The farmers tested the urea-enhanced fertilizer on 10 plants and the non-urea fertilizer on the other 10 plants. After three months, they reported their findings as shown.
Answer:
Step-by-step explanation:
at the bottom it has a key and the key shows blue that had the urea supplement and green with out. the graph has a higher amount of growth for the plants with the urea supplement and green with about half the growth.
so you could say something like this: over the course of three months the plants with the urea supplement had almost double the amount of growth the plants without the urea supplement did, over all the the urea increased the amount of growth the plants had over the 3 month time span. :)
The conclusion from the farmer's data can be made is the fertilizer with urea supplement is more effective than the fertilizer without it.
What is histogram?A histogram is the way of representation of data which is used to show the frequency distribution using the rectangle similar to bar graph.
Farmers' group conducted an experiment to determine which fertilizer is better for plant growth. One fertilizer contains a urea supplement, while the other does not contain the urea supplement.
For the experiment, they randomly selected 20 plants of the same species growing in their area. The farmers tested the urea-enhanced fertilizer on 10 plants and the non-urea fertilizer on the other 10 plants.
After three months, they reported their findings as shown. Let's understand what happen in each month,
In first month, 4 number of plants with above average growth with urea supplement, while only 2 plant shown this growth when urea is not supplied.In second month, 7 number of plants with above average growth with urea supplement, while only 4 plant shown this growth when urea is not supplied.In third month, 5 number of plants with above average growth with urea supplement, while only 3 plant shown this growth when urea is not supplied.Thus, the conclusion from the farmer's data can be made is the fertilizer with urea supplement is more effective than the fertilizer without it.
Learn more about the histogram here;
https://brainly.com/question/2962546
#SPJ2
In ΔTUV, v = 49 inches, u = 47 inches and ∠U=65°. Find all possible values of ∠V, to the nearest degree.
Answer: 16
Step-by-step explanation:
sin M/6.3=sin 21/8.2
6.3 sin 21/8.2=0.27533147
sin^-1(0.27533147)=15.981=16
Solve the following proportion:
X + 5 7
X – 4 10
Answer:
x = −26
Explanation:
Solve for x by cross multiplying.
Please answer fast ASAP I give brainliest
Kerry wants to remodel his house by knocking down a wall between two adjacent rectangular rooms the dimensions of the rooms are shown on the blue print
Answer:
6x +12
Step-by-step explanation:
Write nine squared in all three forms: exponential form, expanded form, standard 
Answer:
[tex]9^{2} \\80+1\\9+9+9+9+9+9+9+9+9[/tex]
Step-by-step explanation:
En un banco ,$784.00 producen $117.60 de interes en un tiempo y a una tasa determinada.Que interes produciran $792.00 en ese banco ,en ese mismo tiempo y a esa misma taza? matematicas
Answer:
I wish i could help you but i cant because i don't speak your language im sorry.
Step-by-step explanation:
arning Task 3: Solve the following. Do this in a separate sheet of paper.
A box is ( 2x—3) by ( x + 5) by ( 3x +1), what is the volume of the box if x = 3
cm?
bh
The formula for the area of a triangle is A= If the base (b) = 10 cm and
2
the height (h) = 6 cm, what is the area of the triangle?
The length (1) of the rectangle is x2 + 2x - 3 and the width (w) is 5x + 4, what
is the perimeter of the rectangle.
From the sum of 3x3 + 7x2 - 5 and 2x2 + 3x + 8 take away 5x2 + x -5.
What should be added to 3x3 + 4x2 -7 to have a sum of 4x3 + x2 + 5.
❤️
Answer:
12 cm is your answer right answer
Write the phrase as an expression.
the product of 3 and 12
An expression is
Step-by-step explanation:
Product of 3 and 12 means 3 multiplied by 12
which is equal to 12*3
Hope it helps!
Answer:12+3 or 3 + 12
Step-by-step explanation:in math and means adition so
12 and 3 as an expression would be 12 +3
Find dy/dx by implicit differentiation.
7x^2 – 2y^2 = 16
dy/dx = ?
Answer: ANSWER DOWN BELOW
Step-by-step explanation:
help please ! if false can you explain or show why
Answer:
False
Step-by-step explanation:
The sum of angles of a parallelogram is equal to 180°. So,
8x+3y+2x+(7x+18)=180
or
17x+3y = 180-18
17x+3y = 162
Put x = 44 and y = 18 in the above expression.
So,
17(44)+3(18) = 748+54
= 802
≠ 162
Hence, the given statement is false.
Please help, you HAVE to show your work! Write down the problem, show your work, and put a picture of your work with your answer! Will give Brainliest to the person with the correct answer! Worth 20 points!
Answer:
The total surface area of the shape is 376 square inches.
Bonus: the volume is 240 cubic inches.
Step-by-step explanation:
I'm not going to draw this for you, but to get the area, you just need to add up the area of the 6 rectangles.
First though, you need to know what they are. This is easier than it may seem though. You just need to remember that this will be folded into a rectangular box. You are given three side lengths, which is all that is needed for a box.
That is to say, you're given the width, height and length of this box. It's 10x8x6 inches.
so if you take every possible pairing of those numbers:
10x8
10x6
8x6
you have the area of all of the shapes. The only catch is that there are two of each size. Front and back are the same size, left and right are, and so are top and bottom.
So the total area of the shape is:
(front and back) + (left and right) + (top and bottom)
= (2 × 10 × 8) + (2 × 10 × 6) + (2 × 8 × 6)
= 160 + 120 + 96
= 376
Or rather, 376 square inches.
Bonus: the volume is much easier, being just 10 × 8 × 6, or 240 cubic inches.
Lashonda runs 3 miles in 28 minutes. At the same rate, how many miles would she run in 42 minutes? miles ?
Answer:
4.5 miles
Step-by-step explanation:
28x = 126
divide each side by 28
x = 126/28
x = 4.5 miles
Which of the following decimals is equivalent to three and ten hundredths
Answer: 3.1 or 3.10
Step-by-step explanation:
3 and 10 hundredths = 3 + 10/100 = 3 + 0.10
3.10 / 3.1
ALGEBRA Find mZA in ABC if mZB = 38º and mZC = 38º.
a. 940
b. 1040
c. 2840
d. 14°
Answer:
d
Step-by-step explanation:
dddddddddddddddddddddddddddd
In ΔOPQ, PQ = 17, QO = 9, and OP = 15. Which statement about the angles of ΔOPQ must be true?
Answer:
All angles are different.
Internal angles can be acute, obtuse, or right angle.
The smallest side is opposite to the smallest angle and the longer side is opposite to the larger angle.
Step-by-step explanation:
Given - In ΔOPQ, PQ = 17, QO = 9, and OP = 15.
To find - Which statement about the angles of ΔOPQ must be true?
Proof -
As given,
In ΔOPQ, PQ = 17, QO = 9, and OP = 15.
As all the sides of the given triangle is different, So the given triangle is a Scalene triangle.
Now,
We know that , In Scalene triangle -
All sides are different.
All angles are different.
Internal angles can be acute, obtuse, or right angle.
The smallest side is opposite to the smallest angle and the longer side is opposite to the larger angle.
Smallest angle: ∠P
Opposite shortest side.
Middle angle: ∠O
Opposite middle side.
Largest angle: ∠Q
Opposite longest side.
Therefore:
m∠P<m∠O<m∠Q
Less than symbol goes from smallest to largest
Here's a better Explanation!!!!!!
A hockey player earns 2 million in 2015 during the next 10 years to earnings increase 5% each year write an explanation growth model giving the earnings Y in millions of dollars T years after 2015 write the base of the model as a decimal
Answer:
[tex]Y(T) = 2(1.05)^T[/tex]
Step-by-step explanation:
The player's salary, in millions of dollars, t years after 2015, is given by an equation in the following format:
[tex]Y(T) = Y(0)(1+r)^T[/tex]
In which Y(0) is his initial salary and r is the growth rate, as a decimal.
A hockey player earns 2 million in 2015 during the next 10 years to earnings increase 5%
This means, respectively, that:
[tex]Y(0) = 2, r = 0.05[/tex]
So
[tex]Y(T) = Y(0)(1+r)^T[/tex]
[tex]Y(T) = 2(1+0.05)^T[/tex]
[tex]Y(T) = 2(1.05)^T[/tex]
Cuanto es El doble de 0.5
Answer:
Respuesta certificada por un experto
El doble de 0.25 es 0.50. El doble de 0.50 es 1.00.
Step-by-step explanation:
PLZ HELP ASAP
What is the length of MN? Round your answer to the tenths.
Answer:
30.7
Step-by-step explanation:
Answer:
30.8 unitsStep-by-step explanation:
Definition of tangent
tan = opposite / adjacentApply to the given triangle and solve for MN
MN/PN = tan ∠PMN / 10 = tan (72 deg)MN = 10 (3.077)MN = 30.8 (rounded)PLSSS PLSSS I NEED HELPP
Answer:
Step-by-step explanation:
Perpendicular (p) = 8
base(b) = 7
Tan A = p/b
tan A = 8/7
A = tan ^-1(8/7)
A = 48.81°
Where could point E be located on the coordinate plane? I’ll mark you as brainliest! Quadrant one, or Quadrant two, or Quadrant three or , Quadrant four , or Y axis, or X axis?
Answer:
Quadrant II and III
Step-by-step explanation:
Given
Point E
[tex]x < 0[/tex] i.e. negative x
and
[tex]y \ne 0[/tex]
Required: Determine the possible quadrant(s) of E
[tex]y \ne 0[/tex]. means that point E belongs to at least 1 quadrant. So, x-axis and y-axis are ruled out
Solving further:
[tex]x < 0[/tex]
The two quadrants where the x coordinates is negative are II and III.
Hence, point E belongs to quadrants II or quadrants III
Shen started cleaning at 11:51 AM.
He finished at 1:29 PM.
How long did he clean?
hour(s) and minute(s)
Answer: 1 hour 38 minutes
Step-by-step explanation:
From 11:51 AM to 12:00 PM (noon)
9 minutes
from 12:00 PM to 1:00 PM
1 hour
1:00 PM to 1:29 PM
29 minutes
______________________________
9 minutes + 1 hour + 29 minutes
1 hour 38 minutes
