Answer:
p99 = 16.4 inches
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.
Men have hip breadths that are normally distributed with a mean of 14.3 in. And a standard deviation of 0.9 in.
This means that [tex]\mu = 14.3, \sigma = 0.9[/tex]
Find p99.
This is the value of X when Z has a p-value of 0.99, so X when Z = 2.327. Then
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.327 = \frac{X - 14.3}{0.9}[/tex]
[tex]X - 14.3 = 0.9*2.327[/tex]
[tex]X = 16.4[/tex]
So
p99 = 16.4 inches
If the volume of a given cube is 729 cubic inches, what is the surface area of the
cube?
486 sq.inches
230 sq.inches
120 sq.inches
222 sq.inches
Answer:
SA = 486
Step-by-step explanation:
Its a cube. s = side length
V = [tex]s^{3}[/tex]
729 = [tex]s^{3}[/tex]
take cube root of each side : [tex]\sqrt[3]{729}[/tex] = 9
so, s = 9
Surface Area of a cube
SA = 6[tex]s^{2}[/tex]
SA = 6([tex]9^{2}[/tex])
SA = 6(81)
SA = 486
The surface area of the cube is 486 square inches. The correct option is A.
To find the surface area of a cube, we need to use the formula:
Surface Area = 6 x (side length)²
Given that the volume of the cube is 729 cubic inches, we can determine the side length of the cube using the formula for volume:
Volume = (side length)³
729 = (side length)³
Taking the cube root of both sides:
side length = ∛(729) = 9 inches
Now, we can substitute the side length into the surface area formula:
Surface Area = 6 x (9 inches)² = 6 x 81 = 486 square inches
Therefore, the surface area of the cube is 486 square inches.
To know more about the surface area of a cube follow
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Which of the ratios below is equivalent to 8:5? Select all that apply.
A) 12:9
B) 24:15
C) 40:25
D) 20:32
E) 16:10
Step-by-step explanation:
The answer is B 24:15,divide both by 3 and check out the answers
After the increase the price of a rail season ticket from brighton to london was 2828.80 work out the price before this increase
Answer:
2720
Step-by-step explanation:
Given that,
Price of the ticket = 2828.80
To find,
The price before the increase = ?
Procedure:
Let the price before the increase be x
so,
x(100% + 4%) = 2828.80
⇒ 1.04x = 2828.80
⇒ x = 2828.80 ÷ 1.04
∵ x = 2720
Thus, the price before the increase was 2720.
which expression is equivalent to
Answer:
B.
Step-by-step explanation:
(working backwards to explain)
[tex]\sqrt{5g^5h^2} \\\\\\h\sqrt{5g^5}\\\\\\g^2h\sqrt{5g}[/tex]
Find the value of "x" Wrong answer will be reported and explain please
Answer:
x = 20
Step-by-step explanation:
The consecutive angles in a parallelogram are supplementary, sum to 180°
5x + 4x = 180
9x = 180 ( divide both sides by 9 )
x = 20
Answer:
The value of x is 40⁰.
Step-by-step explanation:
5x + 4x = 360⁰
DUE TO THE SUM OF QUADRATIC ANGLE.
Someone please help me ASAP
Step-by-step explanation:
a vector multiplied by a scalar is equal to it's image. The expression above gives an equation and after solving, it gives you the image
Toby's little brother used his set of wooden blocks to build a giant tower. He stacked up 30 blocks to make a tower that was 64 inches tall.
How tall is each block?
Write your answer as a proper fraction or mixed number.
Solution to the question:
Number of blocks stacked: 30
Height of tower: 64 inches
Height of each block: ?
To find the height of each block, we divide the total height of the tower with the number of blocks stacked
Therefore,
Height of each block: 64/30 = 2.13 inches
So, the height of each block is 2.13 inches.
Write each as a percent. Use proportions.
7/25
2/3
3/8
Which expressions are equivalent to the one below? Check all that apply.
7*3.7^x
A. 73-*
B. 493x
C. 343.7
D. (7.7)3
E. 73x
F. 73 + x
Answer: ur answer is correct ❤️
Step-by-step explanation:
As an estimation we are told 5 miles is 8 km. Convert 17.8 km to miles.
Answer:
17.8km = 11.125 miles
Step-by-step explanation:
From 5 miles = 8km, we can form the ratio km:miles as 8 : 5.
We want to put the ratio in the form 1 : n, which gives us 1 : 0.625 (we divide both 8 and 5 by 8 to get this form).
Now, using the ratio km:miles as 1:0.625, we have to multiply both 1 and 0.625 by 17.8 to gain the ratio 17.8 : n, therefore giving us the ratio 17.8 : 11.125.
Hence, 17.8km = 11.125 miles
Answer:
11.125 miles
Step-by-step explanation:
Proportions:
5 miles ⇒ 8 km
A miles ⇒ 17.8 km
A = 17.8km*5miles/8miles
A = 11.125 miles
If A = {1, 2, 3} the number of non-empty proper subsets are
Answer:
The number of non empty proper subsets of a set with 3 elements is =23−2=8−2=6.
pplied for a job as a cashier at a hardware store. As part of her employment screening, she was asked to take an exam that had general mathematical aptitude questions in it. This type of selection test is referred to as a
Answer:
cognitive ability
Step-by-step explanation:
What is the missing reason for the 3rd
step in the proof below?
Answer:
Multiplication property of the equality
You and your friend are playing a game by tosing two coins land on different sides your friend wins the table shows the possible outcome? Is this a fair game
Which statement about a right triangle is true?
A: The length of each leg equals 1/2 of the hypotenuse.
B: The square of the hypotenuse is equal to the sum of the squares of the legs.
C: One leg is always longer than the hypotenuse.
D: A right triangle can have only one obtuse angle.
Answer:
the square of hypotenuse rs eqaul to the sum of the square of the legs
Find the value please!!!
the answer is in the picture
in a quadrilateral abcd the bisector of angle c and angle d meet at e. if angle a =70°and b=100°,find the measure of angle ced
Answer:
Step-by-step explanation:
Let CE and DE be the bisectors of ∠C and ∠D respectively. Then, ∠1 = 1/2∠C and ∠2 = 1/2∠D
In △DEC, we have
→ ∠1 + ∠2 + ∠CED = 180° [Sum of angles of a triangle]
→ ∠CED = 180° - (∠1 + ∠2). .....(i)
Again, the sum od the angles of a quadrilateral is 360°.
∴ ∠A + ∠B + ∠C + ∠D = 360°
→1/2(∠A + ∠B) + 1/2∠C + 1/2∠D = 180°
→1/2(∠A + ∠B) + ∠1+ ∠2 = 180°
→1/2(∠A + ∠B) = 180° - (∠1+ ∠2)....(ii)
From (i) and (ii), we get 1/2(∠A + ∠B) = ∠CED
Hence, ∠A + ∠B = 2∠CED
What is the product?
Find the TWO integers whos product is -12 and whose sum is 1
Answer: -3, 4
Step-by-step explanation:
Integer #1 = xInteger #2 = yx · y = -12
x + y = 1 ⇒ y = 1 - x
Bring the y-value(1 - x) into x · y = -12:
[tex]x(1 - x) = -12 \\x-x^{2}=-12\\-x^{2}+x+12=0\\-(x^{2}-x-12)=0\\(x+3)(x-4)=0\\x=-3,x=4[/tex]
Bring the x-values into y = 1 - x and see if the values multiply to -12:
x = -3 ⇒ 1 - (-3) = 4 ⇒ 4 * -3 = -12
x = 4 ⇒ 1 -4 = -3 ⇒ -3 * 4 = -12
Solve the inequality.
–13.4 ≥ 6.7 + 4.3 + w
–24.4 ≥ w
24.4 ≥ w
23.4 ≥ w
–23.4 ≥ w
Answer:
-24.4 ≥ w
Step-by-step explanation:
-13.4 ≥ 6.7 + 4.3 + w
-13.4 - 6.7 - 4.3 ≥ w
-24.4 ≥ w
a watch was bought for RS 4444. at what price should it be sould to gain rs444?
Answer:
Rs4000
Step-by-step explanation:
Given data
Step one
Selling price =RS 4444
Gain =rs444
Cost price =???
We want to find the cost price
Cost price =selling price - gain
Cost =4444-444
Cost=Rs4000
Integrate with respect to x
1/√(1-2x)
Answer:
-√(1 - 2x) + C
Step-by-step explanation:
1/√(1-2x)
We want to integrate it. Thus;
∫1/√(1 - 2x) dx
Let u = 1 - 2x
Thus;
du/dx = -2
Thus, dx = -½du
Thus,we now have;
-½∫1/√(u) du
By application of power rule, we will now have;
-½∫1/√(u) du = -√(u) + C
Plugging in the value of u, we will have;
-√(1 - 2x) + C
Prove that the value of the expression: (3^5 - 3^4)(3^3 + 3^2) is divisible by 24. Answer format: The value of the expression is 24 • __
Step-by-step explanation:
(3^5 - 3^4) (3^3 + 3^2)
= (243 - 81) (27 + 9)
= (162) (36)
= 5832
24 = 8*3
since 832 is divisible by 8 and 5+8+3+2 = 18 is divisible by 3
5832 is therefore divisible by 24
check:
5832/24 = 243
Which of the following composition of transformations would create an
image that is not congruent to its original image?
A rotation of 45° followed by a reflection across the x-axis
A translation 2 units to the left followed by dilation by 1/2
A reflection across the y-axis followed by a rotation of 60°
A rotation of 135º followed by a translation of 4 units to the right
SOMEONE HELP ME !!!
The side length of a smaller square is one-third the side length of a larger square.ee
the following statements describes the area of the smaller square?
F The area of the smaller square is I the area of the larger square.
27
G The area of the smaller square is 172 the area of the larger square.
H The area of the smaller square is the area of the larger square.
1 The area of the smaller square is
the area of the larger square,
3
1 / 2
SOMEONE HELP ME !!!
Answer:
H
Step-by-step explanation:
lets say the first big square has side s, so the area will be s²
then the side of the small square is s/3, and the area is (s/3)²= s²/3² =s²/9
the area of the smaller square is 1/9 smaller than the area of the big square
The access code for a security system has five numbers. How many different codes are
there if repetition is allowed but the first and second numbers have to be less than four-
and - the third, fourth, and fifth numbers each have to be greater than 4?
Answer:
pretty sure it's just 9
Step-by-step explanation:
Let's assume the possible numbers are 1,2,3,4,5
There are only 3 numbers less than 4 (1,2,3) which means that there are 3*3 possbiblities out of the two spots
There's only 1 number greater than 4 (5) which means the third, fourth, and fifth are just 5
which means the answer is just 9
Tyna simplified the expression 3x^3/12x^-2 to x/4. What was tyna’s mistake?
Answer:
She added the exponents instead of subtracting them.
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words.
Consider this expression.
Hello!
|m² - 7| + n² =
= |-2² - 7| + 5² =
= |-4 - 7| + 5² =
= |-11| + 5² =
= 11 + 5² =
= 11 + 25 =
= 36
Good luck! :)
Answer:
28
Step-by-step explanation:
What is the domain and range?
Answer:
15
Step-by-step explanation:
Mark and John share the cost of a birthday gift. The cost of the gift is $20.48. Mark pays for 2/3 of the gift and John pays for the remaining 1/3. How much did each boy pay?
Given:
Cost of gift = $20.48
Mark pays for [tex]\dfrac{2}{3}[/tex] of the gift and John pays for the remaining [tex]\dfrac{1}{3}[/tex].
To find:
The amount paid by each boy.
Solution:
We have,
Cost of gift = $20.48
Mark pays for [tex]\dfrac{2}{3}[/tex] of the gift. So, the amount paid by Mark is:
[tex]20.48\times \dfrac{2}{3}\approx 13.653[/tex]
John pays for the remaining [tex]\dfrac{1}{3}[/tex]. So, the amount paid by John is:
[tex]20.48\times \dfrac{1}{3}\approx 6.827[/tex]
Therefore, the amount paid by Mark and John are $13.653 and $6.827 respectively.
