Answer:
464 students will score between 48 and 75. Using the z-distribution, we measure how many standard deviations each score is from the mean, then find the p-value associated with each score to find the proportion, and from the proportion, we find how many out of 1000.
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.
It assumes the scores are normally distributed with a mean score of 75 and a standard deviation of 15.
This means that [tex]\mu = 75, \sigma = 15[/tex]
How many students will score between 48 and 75?
First we find the proportion, which is the pvalue of Z when X = 75 subtracted by the pvalue of Z when X = 48. So
X = 75
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{75 - 75}{15}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a p-value of 0.5
X = 48
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{48 - 75}{15}[/tex]
[tex]Z = -1.8[/tex]
[tex]Z = -1.8[/tex] has a p-value of 0.0359
1 - 0.0359 = 0.4641
Out of 1000:
0.4641*1000 = 464
464 students will score between 48 and 75. Using the z-distribution, we measure how many standard deviations each score is from the mean, then find the p-value associated with each score to find the proportion, and from the proportion, we find how many out of 1000.
pls help me with this
Answer:
I think your answer should be A.
Step-by-step explanation:
Plz mark brainliest
Answer:
it is C youre right!
Step-by-step explanation:
500 - 20x ≥ 200 I need help
Answer:
x [tex]\leq[/tex] 15
Step-by-step explanation:
A plot of land is 5,824 square feet. It is divided into 4 equal sections.
Answer:
1456!!!!!!!!!!!!!!!
Step-by-step explanation:
5824 ÷ 4 = 1456
Answer: 1,456!
Step-by-step explanation: divide 5,824 ÷ 4 = 1456
a marrow plants 0.5 m long. every week it grows by 20%. a find the value of the common ratio. b calculate how long the plant is after 12 weeks. e comment on the predicted length of the marrow after one year.
Answer:
The common ratio is 1.2.
After 12 weeks the plant will be 4.46 meters long.
After one year the plant will be 6,552.32 meters long.
Step-by-step explanation:
Given that a marrow plants 0.5 m long and every week it grows by 20%, to find the value of the common ratio, calculate how long the plant is after 12 weeks and comment on the predicted length of the marrow after one year must be performed the following calculations:
0.50 x 1.2 ^ X = Y
Therefore, the common ratio is 1.2.
0.50 x 1.2 ^ 12 = Y
0.50 x 8.916 = Y
4.4580 = Y
Therefore, after 12 weeks the plant will be 4.46 meters long.
0.50 x 1.2 ^ 52 = Y
0.50 x 13,104.63 = Y
6,552.32 = Y
Therefore, after one year the plant will be 6,552.32 meters long.
The dot plot shows the ages of students, in years, on a basketball team. Each dot represents 1 student. Find the mean (rounded to the nearest tenth) and the mode of the data.
Answer:
Mode = 15
Mean = 12.8
Step-by-step explanation:
Given the data :
As obtained form the dot plot :
X : 11, 11, 11, 12, 12, 12, 13, 13, 13, 13, 14, 14, 15, 15
The mean of the data:
Mean = ΣX / n
Mean = 179 / 13
Mean = 12.785 = 12.8 years
Mode = most frequently occurring value = 15
Solve the equation. 18 = m - 18
Answer:
n = 36
Step-by-step explanation:
18 = n - 18
add 18 to both sides
36 = n
n = 36
If my answer is incorrect, pls correct me!
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Answer:
36
Step-by-step explanation:
18 + 18 = 36
36 - 18 = 18
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What is the volume of a triangular prism whose base has an area of 38.2mm and heigh of the prism meausers 14mm?
Answer:
534.8
Step-by-step explanation:
Volume= area × height
= 38.2×14
= 534.8
Hence the volumer is 534.8
Answer:
534.8 mm
Step-by-step explanation:
The volume of a triangular prism is given by the relation :
Volume = Base area * height
Base area = 38.2 mm
Height = 14 mm
Hence, the Volume of triangular prism is :
V = 38.2mm² * 14mm
Volume = 534.8 mm
pls help it would be appreciated
Given:
Point D is the midpoint of line segment CE.
To find:
The correct statement from the given options.
Solution:
It is given that the point D is the midpoint of line segment CE. It means point D bisects the line segment CE.
In other words, point D divides the line segment CE into two congruent or equal parts.
[tex]\overline{CD}\cong \overline{DE}[/tex]
Therefore, the correct option is C.
Which value for x makes the sentence true?
Answer:
[tex] {\huge{\boxed{\underbrace{\pink{here \: is \: your \: solutio}}}}} \\ \\ {\huge{\boxed{\mathcal{\green{0.58x = 2.3316}}}}} \\ \\ {\huge{\boxed{\mathcal{\green{x = 2.3316 \div 0.58 }}}}} \\ \\ {\huge{\boxed{\mathcal{\green{x = 4.02}}}}} \\ \\ \huge\mathfrak\blue{ Hope \: it \: helps...}[/tex]
To start planning the rooms' floor plans, you draw them each to scale on large sheets of paper. You are going to use the scale 1 foot: 2 inches. That is, 1 foot in real life will be represented by 2 inches on your paper. How many square inches of paper do you need for the bedroom? Enter just the number in the blank below.
Answer:
(/480/) is the answer I just took the test
Step-by-step explanation:
The number of square inches of papar we need for the bedroom is 480.
How are scale drawings formed?For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.
Then it means
[tex]\rm 1\: ft : \dfrac{s}{k}\: in.[/tex]
All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.
For this case, the scale drawing is converting
1 foot (of real world) : 2 inches (on drawing paper).
Thus, 1 sq. ft area = 2^2 = 4 sq. inch area on paper. (we squared 2, since the square whose sides are 1 ft in real world, will haves sides of 2 inches in drawing, so a side of 2 inches sq. has 4 sq. inch area.)
The area of the floor is 120 sq. ft (some parts are missing in the question statement).
So, as 1 sq. ft : 4 sq. inches on paper,
thus, 120 sq. ft : 120 × 4 = 480 sq. inches area on paper.
Thus, to draw the whole bedroom (which is based on the floor), we need at least 480 sq. inches of paper.
Learn more about scale factors here :
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There are 12 paintings at an art show. Three of them are chosen randomly to
display in the gallery window. The order in which they are chosen does not
matter. How many ways are there to choose the paintings?
Answer:
220
Step-by-step explanation: a p e x
There are 220 ways to choose the paintings.
What is combination in mathematics?"Combination determines the number of possible arrangements in a collection of items where the order of the selection does not matter."
Formula for combination:[tex]^{n}C_r=\frac{n!}{r!(n-r)!}[/tex]
For given example,
There are 12 paintings at an art show.
⇒ n = 12
Three of them are chosen randomly to display in the gallery window.
⇒ r = 3
So, using the formula for combination, the number of possible ways to choose the paintings would be,
[tex]\Rightarrow~ ^{n}C_r=\frac{n!}{r!(n-r)!}\\\\\Rightarrow~ ^{12}C_3=\frac{12!}{3!(12-3)!}\\\\\Rightarrow~ ^{12}C_3=\frac{12!}{3!\times 9!}\\\\\Rightarrow~^{12}C_3=220[/tex]
Therefore, there are 220 ways to choose the paintings.
Learn more about combination here:
https://brainly.com/question/13387529
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Show that the sum of two irrational numbers can be rational
Answer:
Hint: We will have to know about the rational numbers and irrational numbers. ... So, the sum of the given two irrational numbers is equal to 6 which is a rational number in the form of p/q where p=6 and q=1 both are integers. Therefore, it is proved that the sum of the two given irrational numbers is a rational number.
Step-by-step explanation:
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Raj has a 25m by 15m rectangular lawn. He mows a strip of uniform width and leaves
a patch of lawn that is 60% of the original area.
What is the width of the strip? (to one decimal place)
FULL WORK PLEASE
What's the answer for each to get 30 points!
Answer: "greater than" for each of the 4 dropdown menus
======================================================
Explanation:
Divide each value in the table by 40
You should get:
Horse = 15/40 = 0.375Cow = 12/40 = 0.300Sheep = 14/40 = 0.350Pig = 19/40 = 0.475Those decimal results are the experimental (ie empirical) probabilities. Theoretically, we should get 1/4 = 0.250 for each sticker type assuming each sticker is likely to be chosen. As you can see, each decimal value shown above is larger than the theoretical target of 0.250, so each answer is "greater than"
-----------
Here's another way to see why this is:
If we had 40 stickers total, and each animal has the same number of stickers, then we should have 40/4 = 10 stickers per animal type. But the table shows each frequency is above 10. So that must directly mean the empirical probability of picking any animal is greater than the theoretical probability.
find the solution of the simultaneous equation 4c-5d=21 6c+7d=-12
Answer:
In the second part of the equation, there is a space between 21 and 6c, is there supposed to be a function there?
Step-by-step explanation:
Find the value of x that makes the equation true
Answer:
9
Step-by-step explanation:
12/9=1.33 repeating and 8/6=1.33 repeating
If mL2=7x+7,mL3=5y, and mL4=140. find the value of x and y
Answer:
your picture of the electronic communications privacy act of question this is what should I
I WILL GIVE Brainiest IF YOUR RIGHT
Answer:
answer: A.
Step-by-step explanation:
A triangle adds up to 180 degrees A cannot be the angle measurements of a triangle because it equals over 180 degrees because
60 + 60 + 61 = 181 So A is the answer. Hope that helps!
Find the value of x
Answer:
Vertical Angles Are Equal. Therefore,
2x + 1 = 75
2x = 74
x = 37
Step-by-step explanation:
i don’t need any work for it i just need the answer
Elijah has
1/2
bag of candy. A bag of candy weighs
5 pounds. How many pounds of candy does Elijah have?
Answer:
2.5 pounds of candy
Step-by-step explanation:
5 / 2 = 2.5
In other words 5 divided by 2 is 2.5 pounds of candy
Need answer ASAP
Keiko and Eric each randomly surveyed people with cell phones. They recorded peoples’ ages (a years) and how many texts they send per day on average (t texts). For their respective data, they each drew a line of best-fit and determined its equation. They then compared equations and made inferences based only on the equations they calculated.
Answer:
subject?
Step-by-step explanation:
The inferences given can be concluded as (a) Agree, (b) Disagree, (c) Agree, (d) Disagree and (e) Disagree
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given two equations made each by Keiko and Eric. They are,
Keiko : t = -1.63a + 92.14
Eric : t = -1.05a + 80.97
(a) As the value of a increases, the value of t decreases for both of the equations.
So the first statement is true.
(b) When a = 20 and 30, t = 59.54 and 43.24 in the equation of Keiko.
When a = 20 and 30, t = 59.97 and 49.47 in the equation of Eric.
On an average, Eric's equation gives more t.
So second statement is false.
(c) t = 92.14 and t = 80.97 when a = 0.
A person with 0 years old cannot end texts.
So y intercept does not have a relevant meaning.
So c is also true.
(d) -1.63 and -1.05 is the slope of the corresponding lines.
This means that for every 1 year increase in age, the number of text messages decreased by 1.63.
So this is false.
(e) Similarly, in case of Eric's equation, for very 1 year increase in age, the number of text messages decreased by 1.05.
This is also false.
Hence the inferences are either agreed or disagreed as explained.
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help me guys...:(
prove that 0!=1
Answer:
0 + 1=0
hope this helps
have a good day :)
Step-by-step explanation:
please help me i really need help please help me please i really need help please help me please
Answer:2.
Step-by-step explanation:
trust me on this one
yoyoyoyo I need some help, please!
Answer:
Y/X
Step-by-step explanation:
Answer:
x/y
Step-by-step explanation:
the expression x + 16 divided by 2 is an example of an _____ please help :(
Answer:
rational number.................
Co...
1.2 m
2.5 m
3.5 m
The front of a house needs to be painted black. The garage door is 1.5 m high and 2 m wide.
A) How many square meters of black paint will be needed to paint the house not including the
garage door?
Show your work
Answer:
16
Step-by-step explanation:
Multiplecation by the length width, and the height, then divide and its 16.
Cally wants to coat her driveway with a winter sealer. Her driveway is 18 feet long and shaped like a trapezoid. At the garage door, the driveway is 12 feet wide, then it widens to 20 feet at the street. How many square feet of sealer should Cally buy if she wants to apply two coats?
Answer:
Amount of Winter sealer for 2 coats[in square feet] = 576 square feet
Step-by-step explanation:
Given:
Length of drive way at garage door = 12 feet
Length of drive way at street = 20 feet
Length of total driveway = 18 feet
Find:
Amount of Winter sealer for 2 coats[in square feet]
Computation:
Amount of Winter sealer for 2 coats[in square feet] = 2[Area of trapezoid]
Amount of Winter sealer for 2 coats[in square feet] = 2[(1/2)(Sum of parallel side)(Height)]
Amount of Winter sealer for 2 coats[in square feet] = 2[(1/2)(12 + 20)(18)]
Amount of Winter sealer for 2 coats[in square feet] = 2[(1/2)(32)(18)]
Amount of Winter sealer for 2 coats[in square feet] = 32 x 18
Amount of Winter sealer for 2 coats[in square feet] = 576 square feet
Solve
5.27*0.01(2.1)
Answer:
the answer is 0.11067
Step-by-step explanation: