Using the Normal distribution, it is found that 0.0359 = 3.59% of US women have a height greater than 69.5 inches.
In a normal distribution 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]
It 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, which is the percentile of X.US women’s heights are normally distributed with mean 65 inches and standard deviation 2.5 inches, hence [tex]\mu = 65, \sigma = 2.5[/tex].
The proportion of US women that have a height greater than 69.5 inches is 1 subtracted by the p-value of Z when X = 69.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{69.5 - 65}{2.5}[/tex]
[tex]Z = 1.8[/tex]
[tex]Z = 1.8[/tex] has a p-value of 0.9641.
1 - 0.9641 = 0.0359
0.0359 = 3.59% of US women have a height greater than 69.5 inches.
You can learn more about the Normal distribution at https://brainly.com/question/24663213
answer this for 10 points
Answer:
1 2 5 and 6
Step-by-step explanation:
Find the value of x
6.1 - angles of polygons
Answer:
x = 46°
Step-by-step explanation:
The sum of interior angles = (n-2) × 180°
= (5-2) × 180°
= 540°
2x+3x+3x-4+3x+x-8 = 540°
12x = 552°
x = 46°
:) Help please..........................
Answer:
Both are false
Step-by-step explanation:
When you dilate something by a number >1 it gets larger.
Multiply (x^2+3x+5)(2x^2-2x+1
Answer:
2x^4+4x^3+5x^2-7x+5
Step-by-step explanation:
Astronomers often measure large distances using astronomical units (AU) where 1 AU is the average distance from Earth to the Sun. In the image, drepresents the distance from a star to the Sun. Using a technique called "stellar parallax," astronomers determined 0 is 0.00001389 degrees.
write an expression to calculate d for any star
By calculating the distance of a star to the Sun, astronomers can calculate the distance from Earth to the star.
[tex]\displaystyle \mathrm{The \ \mathbf{expression} \ to \ calculate \ \mathit{d} \ for \ any \ \mathbf{star} \ is; \ \underline{d \ is \ \frac{1 \, AU}{tan(\theta)}}}[/tex]Reasons
The given parameters are;
The distance from the star to the Sun = d
The angle formed by the ray to the Sun and the ray to Earth from the star, θ = 0.00001389 degrees
The average distance from Earth to the Sun = 1 AU
By trigonometric ratios, we have;
[tex]\displaystyle tan(\theta) = \mathbf{\frac{Opposite}{Adjacent}}[/tex]
Therefore;
[tex]\displaystyle tan(\theta) = \frac{1}{d}[/tex]
The expression to calculate for d for any star is therefore;
[tex]\displaystyle \underline{ d \ is \ \frac{1 \, AU}{tan(\theta) }}[/tex]The angle given for θ for the referenced star is θ = 0.00001389
Therefore;
[tex]\displaystyle d = \frac{1 \, AU}{tan(0.00001389^{\circ}) } \approx 4,124,966.13 \, AU[/tex]
Learn more about trigonometric ratio here:
https://brainly.com/question/14421002
https://brainly.com/question/8514165
Find a quadratic model in standard form for the set of values.
(-2, 18), (0, 4), (4, 24)
4x^2 + 2x - 4
Hope this helps
The point (-1, 5) is reflected over the y-axis. Where is the location of the new image?
(-1, -5)
(5, 1)
(1, 5)
(1, -5)
What's the y-intercept?
Answer:
-9 would be your y-intercept
Step-by-step explanation:
Have a great rest of your day
#Nova
Find f(x) and g(x) so that the function can be described as y = f(g(x)). (5 points) y = (2/x^2) + (9)
Answer:
f(x) = x+9
g(x) = 2/x^2
Step-by-step explanation:
I just thought at a simple function for f(x). It could have been just f(x) = x and g(x) = 2/x^2 + 9. Nothing would have changed.
Can someone help me on this question? The question is down below...
Answer:12m
Step-by-step explanation:
Because you are given that this is a right angled triangle, you can apply the pythagoras theorem where a^2 = b^2 + c^2
15^2 = 9^2 + x^2
225-81 = x^2
144 = x^2
x = 12m
determine if the two triangles are congruent.If they are state how you know
9. yes, 2 congruent sides
10. no
11. yes, 1 congruent side and angles
12. yes, 1 congruent side and angles
13. yes, 1 congruent side and angles
14. yes, 2 congruent sides
15. yes, congruent sides and angles
16. yes, congruent angles and sides
Tell whether the ordered pair is a solution to the system.
(-1, -2) 3x + 5y = 3
-9x - 8y = -9
no
yes
Answer:
no
Step-by-step explanation:
no. substitute -1 for x and -2 for y.
the first one is -1 - 10
this equals -11 not 3
Determine the intercepts of the line.
Answer:
y intercept= 12
x intercept = 4
Step-by-step explanation:
It is just one interception because the equation is linear
A. -78
B. 49
C. 53
D. 14
Answer: 49
Step-by-step explanation:
Does the point (7,7) satisfy the equation y =8x?
Answer:
no
Step-by-step explanation:
y = 8x
Try (7, 7).
Is 7 = 8(7)?
Is 7 = 56?
The answer is no, so the point (7, 7) does not satisfy the equation y = 8x.
what is 5.56 s divided by 6.42 S
Answer:
0.86
step by step explain:
first you want to get a calculator and you want to put in 5.56 divide 6.42
Answer:
= 0.866
Step-by-step explanation:
By moving the decimal point two places to the right, you can convert the divisor 6.42 to a whole number. Then, in the dividend, move the decimal point two places to the right.
Then we have the equation: 556 ÷ 642 = 0.866
and therefore: 5.56 ÷ 6.42 = 0.866
both calculated to three decimal places.
Equation:
The actual equation is attached below as an attachment.
Message:
Hope this helps! I am not the best at math, so sorry if I got it wrong.
Solve the system of equations shown below algebraically.
x+y=1
x^2+y^2=61
Answer: xy1 = (6,-5) and xy2 = (-5,6), pls give brainliest if this solution helped you
Step-by-step explanation:
please help me, and be nice, don't be a jer.k (you know who you are..)
ty :)
Answer:
y=-1/2x+3
Step-by-step explanation:
Step-by-step explanation:
Subtract x both sides
2y = 6 + (-x)
Divide by 2 both sides
y = 3 + (-1/2x)
y = -1/2x + 3
PLEASE HELP QUESTION IN PICTURE
Answer:
y=4x+5
Step-by-step explanation:
What is the answer to 7-x²
Answer:
7-1x^2
Step-by-step explanation:
Suppose x and y are positive integers that satisfy the following equation: 7xy + 7y - 9x + 10 = 2019 Find the sum of x and y.
A. 15
B. 18
C. 21
D. 34
E. No possible values
Amelia, Luis, Shauna, and Clarence used different approaches to solve the inequality
7.2b + 6.5 > 4.8b – 8.1.
Amelia started by subtracting 7.2b from both sides to get 6.5 > –2.4b – 8.1.
Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.
Shauna started by subtracting 6.5 from both sides to get 7.2b > 4.8b – 14.6.
Clarence started by adding 8.1 to both sides to get 7.2b + 14.6 > 4.8b.
Which student’s first step was incorrect, and why?
Answer:
B
Step-by-step explanation:
Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.
Answer:
Luis’s, because he flipped the inequality sign when he subtracted
Step-by-step explanation:
Luis’s, because he flipped the inequality sign when he subtracted
The number of students in a chess club decreased from 19 to 16. What is the percent decrease? Round your answer to the nearest percent. [The percent decrease is ___%.
Answer:
84.21%
Step-by-step explanation:
When working with percentages, one must cross multiply and divide
first you set up your numbers in fraction form…
[tex]\frac{16}{19} \frac{x}{100}[/tex]
now you multiply the two number you do have (16 and 100)…
[tex]16*100\\ 1600[/tex]
then divide by the other number that is known (19)…
1600÷19≈84.21
hope this helps!
Consider the graph of the equation y=(x–9)? – 7. Compared the graph of y=x”, how has the vertex been shifted (left/right and/or up/down) and by how many units?
Answer:
Shifted to the right by 9 units, and down by 7 units
Step-by-step explanation:
y=x is the origin.
(x-9) shows that the graph has moved 9 units to the right, as what is inside the parentheses indicates the opposite direction
(you can be able to review why this is from online resources or you can ask your teacher)
the -7 shows that the graph moves 7 units down the graph, it's outside the parentheses, so it follows the same direction
let's sum up:
for this situation,
- what is inside the parentheses is the x
- what is outside the parentheses is the y
- the x-values direction shifts opposite from the sign (+/-)
- the y-values direction shifts like the sign (+/-)
So,
the vertex has been shifted to the right by 9 units, and down by 7 units compared to y=x.
jay wants to buy a pair of shoes that have a regular price of 95. he found them on sale for 45% off. if the store charges 8% tax, how much did he have to pay for the shoes?
pls help me with my maths if you can
A leaking tap wastes 3,750 ml of water in 1 hour how much water will be wasted in a day??
Answer:
90,000
Step-by-step explanation:
3750ml/hr *24 hrs
Therefore, A leaking tap will waste 90000 ml in a day.
Hoped this helped
[tex]BrainiacUser1357[/tex]
15.
n. F(n)
2. 5
7. 15625
9. 390625
Explicit:
Recursive:
Answer:
400
Step-by-step explanation:
i think
Please help! I need answers
Hill family's sprinkler was on for 25 hours, while Moore family's sprinkler was on for 35 hours
Represent the time the Hill family and the Moore family use the sprinkler with H and M.
So, the total time is:
[tex]H + M = 60[/tex]
And the rate is:
[tex]25H + 20M = 1325[/tex]
Make H the subject in [tex]H + M = 60[/tex]
[tex]H= 60 - M[/tex]
Substitute 60 - M for H in [tex]25H + 20M = 1325[/tex]
[tex]25(60 - M) + 20M = 1325[/tex]
Open brackets
[tex]1500 - 25M + 20M = 1325[/tex]
Collect like terms
[tex]- 25M + 20M = 1325 - 1500[/tex]
[tex]- 5M = -175[/tex]
Divide both sides by -5
[tex]M = 35[/tex]
Recall that:
[tex]H= 60 - M[/tex]
So, we have:
[tex]H = 60 - 35[/tex]
[tex]H = 25[/tex]
Hence, Hill family's sprinkler was on for 25 hours, while Moore family's sprinkler was on for 35 hours
Read more about system of equations at:
https://brainly.com/question/14323743
A scale of a model has a scale of 1:360.
A. The actual length of the football field including the end zones is 120. how long in inches is the football field in the model?
B How many times the length of the model is the length of the actual stadium
Answer:
120 yards,360 feet's of length and 53 1/3 yards,160 feet of width