Answer:
9.95 cm
Step-by-step explanation:
Volume of a cylinder = pi * r² * h
Volume = 500 cm³
Radius, r = 8cm / 2 = 4cm
500 = 3.14 * 4² * h
500 = 3.14 * 16 * h
500 = 50.24 * h
h = 500 / 50.24
h = 9.952229
Height, h = 9.95 cm
Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 700 grams while babies born after a gestation period of 40 weeks have a mean weight of 3100 grams and a standard deviation of 390 grams. If a 34-week gestation period baby weighs 2950 grams and a 41-week gestation period baby weighs 3550 grams, find the corresponding z-scores. Which baby weighs more relative to the gestation period
Answer:
Z-score for 34-week baby = 0.643
Z-score for 41-week baby = 1.154
Baby weight of 41-week is more than the baby weight of 34-week in the gestation period.
Step-by-step explanation:
Given - Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 700 grams while babies born after a gestation period of 40 weeks have a mean weight of 3100 grams and a standard deviation of 390 grams. If a 34-week gestation period baby weighs 2950 grams and a 41-week gestation period baby weighs 3550 grams
To find - Find the corresponding z-scores. Which baby weighs more relative to the gestation period.
Proof -
Given that,
In between period of 32 to 35 weeks
Mean = 2500
Standard deviation = 700
In between after a period of 40 weeks
Mean = 3100
Standard deviation = 390
Now,
For a 34-week baby,
X = 2950
For a 41-week baby,
X = 3550
Now,
Z-score = (X - mean) / Standard deviation
Now,
For a 34-week baby,
Z - score = (2950 - 2500) / 700 = 0.643
For a 41-week baby,
Z-score = (3550 - 3100) / 390 = 1.154
∴ we get
Z-score for 34-week baby = 0.643
Z-score for 41-week baby = 1.154
As 1.154 > 0.643
So,
Baby weight of 41-week is more than baby weight of 34-week in the gestation period.
Round to the nearest hundredth 2^x =243
9514 1404 393
Answer:
7.92
Step-by-step explanation:
The value of x can be found by taking logarithms.
x·log(2) = log(243)
x = log(243)/log(2)
x ≈ 7.9248125...
x ≈ 7.92
__
A graphing calculator offers a couple of different options for solving the problem.
a company's stock was elling at $24 a share. A month later, it was selling at $30 a share. What percent is that gain
Austin's paycheck showed a regular weekly salary of $385.50, a deduction of $16.35, a commission of $28.75, and $37.35 for overtime. Which equation correctly finds Austin's final pay?
-$385.50 + $16.35 + (-$28.75) + (-$37.35) = - $435.25
$385.50 + $16.35 + (-$28.75) + (-$37.35) = $355.75
$385.50 + (-$16.35) + $28.75 + $37.35 = $435.25
$385.50 + (-$16.35) + $28.75 + $37.35 = -$467.95
Answer:
Answer option c is correct.
Step-by-step explanation:
385.50 is adding to the amount because it his paycheck. 16.35 is subtracted because it is bing deducted. Then there is the adding amount of 28.75 and 37.35 because of his commission and overtime. When you add it all up, you get 435.25. This whole thing would look like this in equation format:
385.50 +(-16.35) + 28.75 + 37.35 = 435.25.
What is the lateral area of the square pyramid, to the nearest whole number?
A. 165 m2
B. 176 m2
C. 330 m2
D. 351 m2
Answer:
1: A. 448 2: 209 pi cm^2 3: D. 351 m^2 4. B 240 cm^2 C. 561.1 cm^2
Step-by-step explanation:
just took the test!!!
Which number describes the median of the data given in the table?
Answer:
how can i answer?
Step-by-step explanation:
The distance from Point C to the tower at Point A is 1.2 miles, while the distance from Point C to the tower at Point
Bis 1.8 miles. If mZACB=81", what is the distance, to the nearest tenth of a mile, between the water towers?
find number of A intersection B? help me plz
Try this option:
1. to calculate the difference of the final sequence:
the difference between two terms of the sequence A is 4 (7-3=11-7=...=4) and the difference between two terms of the sequence B is 7 (9-2=16-9=...-7). It means, in the final sequence the difference should be 7*4=28;
2. to calculate the first term of the final sequence:
A={3;7;11;15;19;23;27;31;...;407} and B{2;9;16;23;30;...;709}. It means, the first term of the final sequence is 23.
3. to calculate the last term of the final sequence:
if 407<709, it means the last term is less than 407, then it is possible to make up the equation 23+28*n<407, where 23 - the 1st term of the final sequence, 28 - the difference of the final sequence, (n+1) - number of the last term of the final sequence and n∈Z.
n<(407-23)/28; n<13.71. If n∈Z, then n=13.
So, the last term of the final sequence is 23+28*13=387.
4. if the first term is 23, the last one is 387 and the difference of the final sequence is 28, then the final sequence is consists of 14 terms:
{23; 51; 79; 107; 135; 163; 191; 219; 247; 275; 303; 331; 359; 387}
Solve sqare root of x-1= x-3. Check for extraneous solutions.
O A. No solution
O B. x = 2,5
C. X = 2
D. x = 5
Answer:x=2,5
Step-by-step explanation:
sqrtx-1=x-3. Sqrt5-1=5-3
sqrt2-1=2-3. Sqrt4=
sqrt1=1. 2=2
1=1
What is the inverse relation of f(x)=1/5x−4/5?
y=1/5x−4
y=−1/5x+5/4
y=−5x−4
y=5x+4
Answer:
[tex]y' = 5x + 4[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \frac{1}{5}x - \frac{4}{5}[/tex]
Required
The inverse relation
[tex]f(x) = \frac{1}{5}x - \frac{4}{5}[/tex]
Rewrite as:
[tex]y = \frac{1}{5}x - \frac{4}{5}[/tex]
Swap x and y
[tex]x = \frac{1}{5}y - \frac{4}{5}[/tex]
Multiply through by 5
[tex]5x = y - 4[/tex]
[tex]y = 5x +4[/tex]
Rewrite the new function as:
[tex]y' = 5x + 4[/tex]
ZABD and ZDBC are supplementary angles.
What is the measure of x?
x = [?]°
7D
AK
126
x
B
-С
Angles are not drawn to scale.
Enter
x=102°Answer:
x+78=180 supplementary angle
x=180-78=102
Solve for h -4(-6h - 7) = 9h + 10h - 7
Answer:
h=-7
Step-by-step explanation:
-4(-6h - 7) = 9h + 10h - 7
24h+28=19h-7
Both side -28
24h+28-28=19h-7-29
24h=19h-35
Both side -19h
24h-19h=19h-19h-35
5h=-35
h=-7
Answer:
h = -7
Step-by-step explanation:
-4(-6h-7)= 9h+ 10h-7
24h+ 28=19h-7
-19. -28. -19 -28
5h -35
h= -7
While driving through California, you stop in at a little restaurant in a small town. The meal for your family was $48.00. The town has a 7.5% sales tax rate. You also want to leave a 20% tip.
What’s the last equation
9514 1404 393
Answer:
20 . . . . value of last equation
(A, B, C) = (4, 5, 10) or (3 1/3, 6, 12) . . . . values of symbols
Step-by-step explanation:
If we call the symbols, in order of appearance, A, B, C, then the equations are ...
2AB = 40 ⇒ AB = 20
2C/B = 4 ⇒ C/B = 2
Multiplying the second equation by the first, we get ...
(C/B)(AB) = AC = (2)(20) = 40 ⇒ AC = 40
Then the last equation is ...
(C-B)A = __
AC -AB = __ = 40 -20 = 20
The value of the last equation is 20.
_____
Per the above, we have AC = 40. The third equation is ...
(C +3A) = 22
Using the first relation, we have A = 40/C, so the second becomes ...
C +3(40/C) = 22
C² -22C +120 = 0
(C -10)(C -12) = 0
C = 10 or 12
As you can see, there are two possible solutions for the values of the symbols. The corresponding values of the other variables are ...
A = 40/C = 4 or 3 1/3
B = 20/A = C/2 = 5 or 6
The values of the variables are ...
(A, B, C) = (4, 5, 10) or (3 1/3, 6, 12)
Given that these triangles are similar, what is the perimeter of triangle PQR? Show your work.
If someone could answer fr this time that would be great.
Answer:
24
Step-by-step explanation:
I use the Pythagoras theorem.
[tex]\sqrt{a^{2} +b^{2} } =c^{2}[/tex]
[tex]4^{2}{x}6^{2} = c^{2}[/tex]
16 x 36= 576
[tex]\sqrt{576} = 24[/tex]
Find x in each triangle! Will award brainliest
Answer:
First triangle x=9
Second triangle x=20
Step-by-step explanation:
Using Pythagorean theorem
40^2+x=41^2
1600+x^2=1681
-1600 -1600
x^2=81
To find x we do the opposite of powers and find the squared
x=9
Second triangle
21^2+x^2=29^2
441+x^2=841
-441 -441
x^2=400
x=20
simplify the expression
[tex] \sqrt[3]{686x {}^{4} } y {}^{7} [/tex]
The expression can be simplified as [tex]7x\sqrt[3]{ 2x} y^7[/tex].
What is an expression?An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division, etc.)
A phrase in language may contain an action on its own, but it does not constitute a whole sentence.
Given:
The expression = [tex]\sqrt[3]{686x^4} y^7[/tex]
Factorize 686 we get 7³ × 2
= [tex]\sqrt[3]{7^3\times 2x^4} y^7[/tex]
= [tex]7x\sqrt[3]{ 2x} y^7[/tex]
Therefore, the expression can be simplified as [tex]7x\sqrt[3]{ 2x} y^7[/tex].
To know more about the expression:
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A factory begun producing new parts. Data were collected on the
number of defective parts per 10,000 parts produced. The graph
shown displays some of the data for the first 10 weeks of production.
Write an equation that best models the data?
The equation that best models the data is 10x + y = 160 if the number of defective parts per 10,000 parts produced and points (10, 60) and (9, 70)
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
From the graph:
(10, 60) and (9, 70)
The line equation of best fit:
(y - 70) = (70-60)/(9-10)(x-9)
y - 70 = -10(x-9)
y - 70 = -10x + 90
10x + y = 160
Thus, the equation that best models the data is 10x + y = 160 if the number of defective parts per 10,000 parts produced and points (10, 60) and (9, 70)
Learn more about the linear equation here:
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Solve the following right triangle. Round to the nearest tenth.
Help please will mark brainliest!!
Answer:
5,4 km
Step-by-step explanation:
we know the area and the width.
the formula of the area of a parallelogram is
A = length x width
if we substitute the values that we know, we have
23,1 = x * 4,3
to find x we have to divide the two members by 4,3
x = 23,3/4,3 = 5,4 km
Please help the first people were wrong!!!
Answer:
The surface area is about 267.04 cm^2; the surface area would be divided by 4 if the slant height and diameter were to be cut in half
doivhrghfufvh - 10 points!
Answer:
I'm sure it's already all the way simplified since there are no common terms
I could he wrong but I dont think theres anything more you can do since they are all their own different term
Step-by-step explanation:
for example if it was 7x-2x-1 then you would subtract 7x and 2x and then it would come put to be 5x-1
hope this helped at all
3. What is the value of x? A 52C 86 B 68 D 104
Answer:
86 i guess
Step-by-step explanation:
Tara had 1 5/8 pounds of dried nuts. She ate 1/4 pound of dried nuts each day for 6 days? How many pounds of dried nuts did Tara have left after 6 days?
Answer:
1/8
Step-by-step explanation:
its easy just count backwards by 2/8 each time
How to figure out square feet of counter tops
Answer:
Chapter Three: Calculate Total Countertop Square Footage
To calculate the total square footage (after placing seams) you will need to follow this formula: “L” x “W” / 144 = s.f. (Length times width divided by 144 = square feet).
Create a pattern with the rule n x3. Numbers 1 2 3 4 10
Answer:
10,13 and 16
Step-by-step explanation:
Alex has trained his puppy, Popper, to
jump through a ring. According to Alex's
measurements and calculations, the ring
has a diameter of 3.5 feet. What is the
ring's circumference (use 3.14 for pi)?
1. 8.75 ft
2. 11.32 ft
3. 12.25 ft
4. 10.99 ft
Answer:
4.10.99
Step-by-step explanation:
3.14 * 3.5
What is the area of the triangle?
Answer:
The formula to find a triangle is (L+W)/2
Step-by-step explanation:
Larry has a cylinder shaped pictures that is 13 inches long and radius of 4 inches. Sandra has a cylinder shaped pitcher that is 8 inches long and radius of 6 inches. The volume of Larry’s picture is approximately __. The volume of Sandra’s pitcher is approximately __?
The volume of Larry’s picture is approximately 653in³
The volume of Sandra’s pitcher is approximately 905in³
How to determine their volumeThe formula for calculating the volume of a cylinder is expressed as;
V = πr²h
Such that the parameters are;
V is the volumer is the radiush is the heightNow, substitute the values, we have;
Larry's cylinder
Volume = 3.14 × 4² × 13
Find the square value and multiply the expression
Volume = 653in³
Sandra's cylinder
Volume = 3.14 × 6² × 8
Find the square value and multiply the expression
Volume = 905in³
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The number of subscribers to a web service is growing exponentially. If there were 100,000 subscribers initially and it grows by 2.4% per month, how many subscribers will there be after a year? Round your answer to the nearest whole number of subscribers.
Answer:
280,000
Step-by-step explanation:
Solve
Given: 100,000 subscribers increases by 2.4% per month
To find: After a year, how much will that be?
First step:
Find the increase of the subscribers per month
100,000 of 2.4%
Set up an equation
2.4/100 × 100,000/1
Cross multiply, cancel zeros in both 100,000 and 100. Which is equal to:
2.4/1 x 1,000/1 =
2,400
Second step: If it increases per month,
then to find the year, find out how many months is in a year:
12 months = 1 year
Now that has been figured out, multiply the result by the result in the first step:
12 × 2400 = 28.800
Therefore, the number of subscribers will be after a year