Answer:
a) 89.97% of men have arm spans between 66 and 76 inches.
b) The z-score for this person's arm span is 5.68. 0% of males have an arm span at least as long as this person
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 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.
Mean of 71.4 inches and a standard deviation of 3.1 inches.
This means that [tex]\mu = 71.4, \sigma = 3.1[/tex]
a. What percentage of men have arm spans between 66 and 76 inches?
The proportion is the pvalue of Z when X = 76 subtracted by the pvalue of Z when X = 66. The percentage is the proportion multiplied by 100.
X = 76
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{76 - 71.4}{3.1}[/tex]
[tex]Z = 1.48[/tex]
[tex]Z = 1.48[/tex] has a pvalue of 0.9306
X = 66
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{66 - 71.4}{3.1}[/tex]
[tex]Z = -1.74[/tex]
[tex]Z = -1.74[/tex] has a pvalue of 0.0409
0.9306 - 0.0409 = 0.8997
0.8997*100% = 89.97%
89.97% of men have arm spans between 66 and 76 inches.
b. A particular professional basketball player has an arm span of almost 89 inches. Find the z-score for this person's arm span. What percentage of males have an arm span at least as long as this person?
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{89 - 71.4}{3.1}[/tex]
[tex]Z = 5.68[/tex]
The z-score for this person's arm span is 5.68.
Z = 5.68 has a pvalue of 1
1 - 1 = 0
0% of males have an arm span at least as long as this person
The percentage of men who have arm spans between 66 and 76 inches is 89.97% and the percentage of males who have an arm span at least as long as this person is 0%.
Given :
According to survey data, the distribution of arm spans for males is approximately Normal with a mean of 71.4 inches and a standard deviation of 3.1 inches.
a) The formula of z-score is given below:
[tex]\rm Z = \dfrac{X-\mu}{\sigma}[/tex]
where [tex]\mu[/tex] is the mean and [tex]\sigma[/tex] is the standard deviation.
When X = 66 the formula of z-score becomes:
[tex]\rm Z = \dfrac{66-71.4}{3.1}[/tex]
Z = -1.74
The p-value regarding the (Z = -1.74) is 0.0409.
When X = 76 the formula of z-score becomes:
[tex]\rm Z = \dfrac{76-71.4}{3.1}[/tex]
Z = 1.48
The p-value regarding the (Z = 1.48) is 0.9306.
Now, the percentage of men who have arm spans between 66 and 76 inches is:
= (0.9306 - 0.0409) [tex]\times[/tex] 100 %
= 89.97%
b) Now, at X = 89 the formula of z-score becomes:
[tex]\rm Z = \dfrac{89-71.4}{3.1}[/tex]
Z = 5.68
The p-value regarding the (Z = 5.68) is 1.
So, the percentage of males who have an arm span at least as long as 89 inches is:
= (1 - 1) [tex]\times[/tex] 100 %
= 0%
For more information, refer to the link given below:
https://brainly.com/question/13299273
Honestly have no clue how to solve this help :/
Answer:
it will be D i seen this before
Step-by-step explanation:
Evaluate 2^9 (2 to the 9th power)
Answer:
512
Step-by-step explanation:
2^9 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 512
Help me please y’all please help!
9514 1404 393
Answer:
(c) 180 cm²
Step-by-step explanation:
Maybe you want the area of the trapezoid. That is given by the formula ...
A = (1/2)(b1 +b2)h
where b1 and b2 are the base lengths, and h is the height.
Here, the top base is marked 16 cm, and the bottom base is shown as 4 cm longer, so is 20 cm.
A = (1/2)(16 cm +20 cm)(10 cm) = 180 cm²
A rectangular painting has an area of 9.52 feet. What are three different ways in which this can happen. Give three unique length and width not using one.
Answer:
2 x 2 x 2.38
2 x 2.1 x 2.26
6 x .31 x 5.118
Kate ran 6 miles. How far did she run in kilometers?
Answer:
9.65606
Step-by-step explanation:
Need help 2w+43,if w=9
Answer:
61
Step-by-step explanation:
2w + 43 = ?, w = 9
Substitute w: 2(9) + 43 = ?Multiply: 18 + 43 = ?Add: 18 + 43 = 61The gardening club set a goal of raising at least $500
in flower sales. So far it has raised $415. How many
more dollars does the gardening club need to raise
to reach its goal?
Answer:
Nxnjsjdndkknnndnnnenndnnd
Answer:
85
Step-by-step explanation:
If you subtract 415 from 500 you get 85.
Therefore the gardening club needs 85$
If you could mark brailiest that would be great, I'm trying to rank up.
Hope I helped:)
HAve a great day:)
Which value for x makes the sentence true? 1/35 + x = 1/7
A. 6/35
B. 1/28
C. 4/35
D. 1/21
WHATS THE ANSWER :(
2. Write a function that models the relationships among x, y, and r. (Hint: Use the Pythagorean theorem.) Then solve the equation for rin terms of x and y. (3 points: 1 point for the correct Pythagorean setup, 1 point for work, 1 point for the solution
The function that models the relationships among x, y, and r is [tex]r=\sqrt{x^2+y^2}[/tex]
What is a function?"It defines a relation between input and output values.""In function, for each input values there is exactly one output."What is right triangle?"It is a triangle having one of the angle measures 90° "
What is hypotenuse?"It is the longest side of the right triangle."
What is Pythagoras theorem?"For a right triangle,
[tex]a^2+b^2=c^2[/tex], where c is the hypotenuse of the right triangle and a, b are other two sides of right triangle."
For given question,
We need to write a function that models the relationships among x, y, and r.
Consider a right triangle ABC.
where AB = x, BC = y and hypotenuse AC = r
Using Pythagoras theorem,
[tex]x^{2} + y^{2} =r^{2}[/tex]
above function defines the relationships among x, y, and r.
Now we solve above equation for 'r',
[tex]\Rightarrow r^2=x^2+y^2\\\\\Rightarrow r=\sqrt{x^2+y^2}[/tex]
Therefore, the function that models the relationships among x, y, and r is [tex]r=\sqrt{x^2+y^2}[/tex]
Learn more about function here:
https://brainly.com/question/12431044
#SPJ2
Answer:
Look below!
Step-by-step explanation:
1. What is the horizontal distance that your bridge must span to clear the ravine? (1 point)
150 feet.
2. Write a function that models the relationships among x, y, and r. (Hint: Use the Pythagorean theorem.) Then solve the equation for r in terms of x and y. (3 points: 1 point for the correct Pythagorean setup, 1 point for work, 1 point for the solution)
Pythagorean theorem—>a^2+b^2=c^2
a and b are the legs, while c is the hypotenuse.
x^2+y^2=r^2
Take the root of both sides
r=√x^2+y^2
The length of a rectangular box is 1 inch more than twice the height of the box, and the width is 3 inches more than the height. If the volume of the box is 252 cubic inches, find the dimensions of the box. length in width in height in
Answer:
height be 4 in
length be 9 in
ANd, the width be 7 in
Step-by-step explanation:
Let us assume the height of the box be x
So the length would be 2x + 1
And, the width be x + 3
As we know that
The volume of the rectangular box = length × width × height
252 = (2x + 1) × (x + 3) × (x)
252 = (2x^2 + x) × (x + 3)
252 = 2x^3 + 6x^2 + x^2 + 3x
2x^3 + 7x^2 + 3x = 252
2x^3 + 7x^2 + 3x - 252 = 0
after solving this
x = 4
So height be 4 in
length be 9 in
ANd, the width be 7 in
ques 1 : x + 1 3/8 = 2 1/4
ques 2 : 13.27 = t - 24.45
ques 3 : 9 = 3/8 × y
please answer them due date today thx
Answer: 1. 29/8
2. 37.72
3. 24
Step-by-step explanation:
1. x + 1 3/8 = 2 1/4
x = 21/4 - 13/8
x = 42/8 - 13/8 [set the denominator equal]
x = 29/8
2. 13.27 = t - 24.45
Rewrite the function as t - 24.45 = 13.27
t = 13.27 + 24.45
t = 37.72
3. 9 = 3/8 × y
Rewrite as 3/8 x y = 9
y = 9/ (3/8)
y = 9 x (8/3)
y = 24
i need help! i’m not sure what’s going on
Answer:one of them is m=3/1 y=3x+10
Step-by-step explanation:i
HURRY PLEASE I WILL GIVE BRAINLIEST
Answer:
About 40% of students own a cat
Step-by-step explanation:
CORRECT ANSWER GETS BRAINLY PLEASE!!! For g(x)=x^2-x, find g(x) when x=-5
Must Show Work
g(-5)=?
Levi bought 5 pairs of jeans for $127.63. How much would he need to pay for 9 pairs of jeans?
Answer:
$229.73
Step-by-step explanation:
5 Pair of jeans = 127.63
divide by 5 to get 1 pair of jeans.
1 pair of jeans = 25. 526 rounded 25.53
times 9 to get to 9 pair of jeans.
9 pair of jeans = 229. 734 rounded 229.73
Given a linear equation in the form y = ax, if a > 0 then the greater the coefficient a
a) the greater the slope of the equation
b) the smaller the slope of the equation
WILL MARK BRAINLIEST
c) the longer the line is
d) the shorter the line is
The graphs below have the same shape. What is the equation of the red
graph?
Use a ratio box to solve this problem. The road was steep.
Every 100 yards the elevation increased 36 feet. How many
feet did the elevation increase in 1500 yards?
36
Answer:
540 feet
Step-by-step explanation:
[tex]\frac{36}{100} = \frac{x}{1500}[/tex] Cross multipy
100x = 54000
54000/100 = 540
x = 540
[tex]\int\limits^1_0 {e^t^x} \, dx[/tex]
Answer:
all it says is the link
Step-by-step explanation:
What day and time will it be 85 hr 33 min after Friday 12:11 am?
Answer:
Enter date and time information at "From:"
Select a month and a day. Enter a year.
The year entered must be a positive number. Not zero (0).
Enter hours and minutes. Select am or pm.
The hours entered must be a positive number between 1 and 12 or zero (0).
The minutes entered must be a positive number between 1 and 59 or zero (0).
Add or Subtract Line
Enter number of days, hours and minutes
Select "add" or "subtract"
If you type "ghblxz", in the year box the computer will print "0"
If you type "1.9e2", the computer will use "190" to calculate the answer.
If you select "February 31", the computer will print "Not a Day"
Click "Click to Calculate" button. The calculated date and time will appear.
NaN = not a number
To clear the entry boxes click "Reset
Mrs. Liang said that 36%of the students in her math class earned a grade of B or higher. Which ratio represents the portion of students receiving a grade of B or higher to the total number of students in the class?
Answer:
36:45
Step-by-step explanation:
PLZZZ ANSWER!! Answers for points will be reported.
Triangle KLM has KL = 28, KM = 28, and LM = 21. What is the area of the triangle?
The area of AKLM is about
(Simplify your answer. Round to one decimal place as needed.)
Answer:
272.6Step-by-step explanation:
This is an isosceles triangle with base of 21 and sides of 28.
Area formula
A = 1/2bhFind height:
h = [tex]\sqrt{28^2 - (21/2)^2} = \sqrt{673.75} = 25.96[/tex]Area:
A = 1/2(25.96)(21) = 272.6 (rounded)Can someone find the surface area of the composite shape and show work! I’ll give 30pts! Thanks!
Answer:
382 cm²
Step-by-step explanation:
The shape can be decomposed into two rectangular prism or cuboids
✔️Dimension of prism 1 (smaller prism):
L = 10 cm
W = 3 cm
H = 7 - 4 = 3 cm
Surface area of prism 1 = 2(LW + LH + WH)
= 2(10*3 + 10*3 + 3*3)
= 2(69)
Surface area of prism 1 = 138 cm²
✔️Dimension of prism 2 (larger prism):
L = 10 cm
W = 8 cm
H = 4 cm
Surface area of prism = 2(LW + LH + WH)
= 2(10*8 + 10*4 + 8*4)
= 2(152)
Surface area of prism 2 = 304 cm²
✅Surface Area of the composite shape = (Surface area of prism 1 + surface area of prism 2) - (2 × area of the base of prism 1)
= (138 + 304) - (2 × L × W)
= 442 - (2 × 10 × 3)
= 442 - 60
= 382 cm²
The measure of an angle is 89º. Find the measure of its supplement
A) 91 degrees
B) 81 degrees
C) 90 degrees
D) 80 degrees
Answer:
The is A) 91
Step-by-step explanation:
Can a trangle have lengths of 1 , 1 and 6
Answer: No it can't
You can prove this with Pythagorean theorem. (a^2+b^2=c^2) In this case, 6 is the highest number so we know it has to be the hypotenuse. So plug it into the equation, 1^2+1^2=6^2, and simplify. You will get 2=36, and we know that is not true, so a triangle can't have the lengths of 1, 1, and 6.
Hope this helped you!
A cube has a edge of 8 cm it is cur into two equal parts calculate the ratio of total surface area
Answer:
[tex]Ratio = 3: 2[/tex]
Step-by-step explanation:
Given
Shape: Cube
[tex]L = 8cm[/tex]
The surface area is calculated as:
[tex]Area = 6*L^2[/tex]
[tex]A_1 = 6*8^2[/tex]
[tex]A_1 = 384[/tex]
When it is cut by half; the length is affected; so, it forms a cuboid of the following dimension:
[tex]L = \frac{8}{2} = 4[/tex] --- Length
[tex]W = 8cm[/tex] --- Width
[tex]H = 8cm[/tex] --- Height
The surface area is:
[tex]Area = 2 *(L*W + H * L + W * H)[/tex]
[tex]A_2 = 2 *(4*8 + 8 *4 + 8 * 8)[/tex]
[tex]A_2 = 2 *128[/tex]
[tex]A_2 = 256[/tex]
So, the ratio of surface area is:
[tex]Ratio = A_1 : A_2[/tex]
[tex]Ratio = 384 : 256[/tex]
Divide by 128
[tex]Ratio = 384/128 : 256/128[/tex]
[tex]Ratio = 3: 2[/tex]
Round 7 3/8 to the nearest whole number?!?
Answer:
7
Step-by-step explanation:
Everything including 1/2 and above rounds up to the next whole number.
3/8 < 4/8
7 and 3/8 rounds to 7
3. Which of the following is a polynomial with roots 4,6, and - 7
Answer: P(x)= x³ - 3 x² - 46 x +168
Step-by-step explanation:
(4,6, -7)
hence the polynomial will be equal to
P(x) = (x-4) (x-6) (x+7)
P(x) = (x-4) (x²+7 x -6 x -42)
P(x) = (x-4) (x²+x -42)
P(x) = x³ + x²-42 x -4 x² -4 x +168
P(x) = x³ - 3 x² - 46 x +168
hence, the required polynomial is P(x) = x³ - 3 x² - 46 x +168
Have a awesome day✨I need help with this !
Answer: Try using calculatorsoup dot com Significant Figures auto Don't put m in the answer there's No Unit(s)
a = 12 m
b = 5 m
c = 13 m
P = 30 m
s = 15 m
K = 30 m2
ha = 5 m
hb = 12 m
hc = 4.6153846153846 m
Step-by-step explanation:
A car manufacturer provided information about two different car models
Car A
Car B
у
Gas
(gallons)
Distance
(miles)
0
0
Distance (miles)
350
300
250
200
150
100
50
60
vlund
100
140
X
0
1 2 3 4 5 6 7 8 9 10 11
Gas (gallons)
10
200
The graph and table each show a proportional relationship between the number of miles traveled and the advertised number of gallons of gas used for
the two car models, A and B, respectively
What is the unit rate of Car A?
miles per gallon
What is the unit rate of Car B?
miles per gallon
Answer:
Step-by-step explanation:use Slader if u have a textbook