9514 1404 393
Answer:
196π cm^3 ≈ 615.8 cm^3
Step-by-step explanation:
Put the numbers in the volume formula and do the arithmetic.
V = 1/3πr^2·h
V = 1/3π(7 cm)^2(12 cm) = 196π cm^3 ≈ 615.8 cm^3
Find the x of =3(x+1)=12
Answer:
x = 3
Step-by-step explanation:
Answer:
it’s in the picture
Step-by-step explanation:
I hope it helps
HELP PLS!!! Determine the type of triangle that is drawn below.
Answer:
Isosceles right triangle
Step-by-step explanation:
Right isosceles has a 90° degree angle with two other sides 45° each
===========================================================
Explanation:
Sides AB and AC are the same length (5.61), so the triangle is isosceles. If all three sides were the same, then it would be equilateral, but side BC is a different length of the first two sides mentioned. If all sides were different, then the triangle would be scalene.
Angle A is 90 degrees, making it a right angle. That means triangle ABC is also a right triangle. The triangle would be acute only when all three angles are less than 90. If any angle is greater than 90, then the triangle is obtuse.
So put together, triangle ABC is both isosceles and a right triangle, or in short we could say "triangle ABC is an isosceles right triangle".
he heights of young women aged 20 to 29 follow approximately the N(64, 2.7) distribution. Young men the same age have heights distributed as N(69.3, 2.8).Height is measured in inches.A young woman in that age group is randomly selected; independently, a young man in that age group is randomly selected. What is the probability that the young man is taller than the young woman by more than 5 inches
Answer:
0.5319 = 53.19% probability that the young man is taller than the young woman by more than 5 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.
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Distribution of the difference in height between men and woman:
Applying the concept above:
[tex]\mu = 69.3 - 64 = 5.3[/tex]
[tex]\sigma = \sqrt{2.7^2 + 2.8^2} = 3.89[/tex]
What is the probability that the young man is taller than the young woman by more than 5 inches?
Probability of the difference being more than 5 inches, that is, 1 subtracted by the pvalue of Z when X = 5.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{5 - 5.3}{3.89}[/tex]
[tex]Z = -0.08[/tex]
[tex]Z = -0.08[/tex] has a pvalue of 0.4681
1 - 0.4681 = 0.5319
0.5319 = 53.19% probability that the young man is taller than the young woman by more than 5 inches
HEEEELPPPP IT IS FOR TODAY!!!
Write the equation of a line that goes through the points (12, 22) and (7, 12). Type your slope and y-intercept into the blanks below to complete the equation. Do not use any spaces.
Answer:
Step-by-step explanation:
1. Find the slope of the line using the formula (change in y/change in x)
(12-22)/(7/12)=2
2. Find the y intercept by plugging in one coordinate point and the slope into the slope-intercept form.
Formula: y=mx+b Coordinate: (12, 22)
22=2(12)+b
22=24+b
b=-2
3. Put the equation together given slope and y-intercept.
y=2x-2
make this equation true using grouping symbols.
39 + 5 - 3^2 = 13
ax + by = 6000 and a + 5 = b are two equations that might be used to calculate how many soup cans and frozen dinners were purchased.
What is an equation?There are several methods to define a formula. A mathematical statement that establishes the equivalence of two mathematical expressions is the definition of an equation in algebra. This is best shown by the formula 3x + 5 = 14. In this instance, the word equal comes between the phrases 3x + 5 and 14. Even the most basic algebraic equations include the usage of mathematical variables.
X now has 300 mg of sodium in it.
[tex]x = 300[/tex]
Y also has 450 mg of sodium in it.
[tex]y = 450[/tex]
Samuel reportedly buys five more frozen dinners than soup cans, and they all have a combined salt content of 6000 mg.
Let the number of frozen dinners be "b," and the number of soup cans be "a."
ax + by = 6000
a(300) + b(450) = 6000 .
Samuel bought 5 more frozen dinners than soup cans, according to the inquiry, which results in equation
[tex]a + 5 = b \\a(300) + (a + 5)(450) = 6000\\300a + 450a = 6000 - 2250\\ 750a = 3750\\ a = 3750/750\\ a = 5\\5 + 5 = b\\ b = 10[/tex]
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Please help me with this question as soon as possible :)
The constant cost call c is $0.7 and the cost of per minute call m is $0.93.
What is system of equations?In algebra, a system of equations consists of two or more equations and looks for ways to solve them all together. A group of equations that have the same set of variables as solutions are referred to as a system of linear equations.
Let the constant cost be c and the per minute cost be denoted by m.
The equation for 5 minutes of the call is:
5.91 = 5m + c
c = 5.91 - 5m
The equation for 10 minutes of the call is:
10.06 = 10m + c
Substitute the value of c in the above equation:
10.06 = 10m + 5.91 - 5m
10.06 - 5.91 = 5m
4.69 = 5m
m = 0.93
Substitute the value of m:
10.06 = 10(0.93) + c
c= 0.7
Hence, the constant cost call c is $0.7 and the cost of per minute call m is $0.93.
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A rectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal?
O 31 units
O 39 units
O 41 units
O 49 units
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Answer:
41 units
Step-by-step explanation:
Use the Pythagorean Theorem
c^2 = a^2 + b^2
c^2 = 9^2 + 40^2
c^2 = 81 + 1600
c^2 = 1681
Take the square root of both sides
c = 41
The length of the diagonal is 41 units
What is Pythagoras' rule?The Pythagoras' rule states that the sum of the hypotenuse squared is equal to the sum of both the opposite squared and the adjacent squared.
i.e
hyp² = opp² + adj²
The shape of the rectangle takes a right angle triangle with the:
hypotenuse = diagonal of the rectangleopposite = length of the rectangleadjacent = width of the rectanglehyp² = 40² + 9²
hyp² = 1600 + 81
hyp² = 1681
hyp = [tex]\mathbf{\sqrt{1681}}[/tex]
hyp = 41 units
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3 2/3 Divided by 1 2/7
Answer:
[tex]2 \frac{23}{27} [/tex]
I wish you luck in your assignments.
In Ronna’s class, the ratio of boys to girls is 2:3. In Suzie’s class, there are half as many girls as in Ronna’s class. If there are 12 boys in Ronna’s class, how many girls are in Suzie’s class?
Answer:
4
Step-by-step explanation:
2:3
4:6
6:9
8:12
8 girls in Ronna’s class
Half of 8 is 4
The ratio of pens to pencils that Jose has on his desk is 5:3. If Jose has 15 pens on his desk then how many pencils does he have?
Answer:
9 pencils
Step-by-step explanation:
We know that the ratio is 5:3 and its pens to pencils. So, every 5 pens have 3 pencils. Now Jose has 15 pens, so his pen supply triples. therefore his pencil supply must also triple. So 3x3=9.
Let the no. of pencils be x,
= 5/3 = 15/x
Do cross multiplication
= 5x = 15 × 3
= x = 45/5
= x = 9
No of pencils = 9
Check the correct operation each word represents.
Answer:
difference - subtraction
sum - addition
of - multiplication
per - division
decreased by - subtract
together - addition
quotient - division
product - multiplication
Which of the points (s, t) is inside the shaded region of the set of inequalities
shown below?
SS10 -0.331
s 2 10 - 1
s 25 - 7
s20
t20
A. (-5,5)
B. (12,5)
C. (3,2)
D. (12,-9)
Answer: (12,5)
Step-by-step explanation: For that class you can't do
The points (s, t) is inside the shaded region of the set of inequalities shown is, (3, 2)
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
All the inequalities are,
S < 10 - 0.33t
S < 12 - t
S > 5 - t
S > 0
t > 0
From option B;
Point = (3, 2) = (s, t)
Put s = 3 , t = 2, we get;
S < 10 - 0.33t
3 < 10 - 0.33 x 2
3 < 10 - 0.66
3 < 9.34
Hence, The points (s, t) is inside the shaded region of the set of inequalities shown is, (3, 2)
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Which shows how to use similar right triangles to find the equation of the line through (0,b) and any point (x, y), on the line?
Answer: b
Step-by-step explanation:
Esh
Elizabeth went to the candy store and wanted to use the dimensional analysis she had learned in class that day. She only had a certain amount of money to spend. In terms of price, she figured out the following conversion factors: 2 lollipops = 8 gumballs 11 gumballs = 8 lemonheads 14 lemonheads = 16 redhots If Elizabeth knows she could buy 18 lollipops, how many redhots could she buy for the same amount of money?
Answer: 315,392
Step-by-step explanation: this took me some time but I multiplied multiple times each time and I got this I hope it’s correct.
Btw I multiplied 2 times 8 then multipled with 11 then multipied 172 times 8 then multiplied by 14 and got 19,712. Then, I multiplied 19,712 by 16 and got 315,392
I had to edit cause I miscalculated :/ anyways I hope this is correct
PLZ I NEED HELP, LAST QUESTION ! ! ! :,D
The function s(n) = 2n - 5 represents the value of the nth term in a sequence.
What is the sum of the 1st and 6th terms of the sequence?
Step-by-step explanation:
s(n) = 2n - 5
What is the sum 1st and 6th terms of the sequence? 12
s(1) = 2(1) - 5 = -3
s(2) = 2(2) - 5 = -1
s(3) = 2(3) - 5 = 1
s(4) = 2(4) - 5 = 3
s(5) = 2(5) - 5 = 5
s(6) = 2(6) - 5 = 7 add these numbers
A truck spilled 1000 gallons of asphalt on the 5 freeway. Come up with a way to approximate the cost of the clean up
Find the median of the following data set. 1 1/4,5/8 ,3/5 ,1/2 ,1 1/2, 1 3/4
1. 7/8
2. 15/16
3. 5/6
Answer:
1. 7/8
Step-by-step explanation:
solve right tringle if BC = 83 and A = 40
Answer:
Step-by-step explanation:
Write as an radical expression
U 2/5
Answer:
Step-by-step explanation:
An radical expression usually involves a radicand which is the number or expression inside the radical symbol √ and an index which is the number outside the radical symbol indicating the root, the radicand raised to the power of the reciprocal of the index.
But in the case of expression "U-2/5" it's not a radical expression as is. It's a fractional expression with variable U and a constant -2/5.
It can be written as √(U-2)/5 or U- √(2/5) if you want to express it as an radical expression.
After a 40% discount, The price of a T-shirt with $30. What was the price before the discount?
Answer:
Mizuki is on the way to help!
The original price was $50!
Step-by-step explanation:
This is the way I did it, I don't know if your going to do it this way so use it as an refrence!
10 - 4 = 6
30 ÷ 6 = 5
5 x 10 = 50
Answer:
$50.00
Step-by-step explanation:
This is because 30 is 60% of 50. (100% - 40% = 60%)
You can verify this answer by calculated 40% of 50, which is 30.
Hope this helps!
Julla drinks 20 cups of water per day. How many quart(s) of water does she drink per day? Julla drinks ? quart(s) of water per day.
Answer:
5 quarts
Step-by-step explanation:
there are 4 cups in a quart so 20/4=5 or
5x4=20 ykyk
Find the inverse of the function.
y = x + 1
Write your answer in the form ax + b. Simplify any fractions.
y =
Only answer if you know the real answer please appreciate it answer question number 2 please
Answer:
0.99
Step-by-step explanation:
Median is the middle term (or mean of the middle two terms) of a series arranged in order of magnitude.
Here the weights are already arranged in order and the middle term is 0.99
Therefor the median = 0.99
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I'm not sure what the first and last question answers are sorry. But I know that the second question is 31 the third question is 10 and the fourth question is 12.
Write a number sentence using multiplication ti show what fraction represented on the mumber line is equivalent to 3/4
The fraction that is equivalent to 3/4 is seen as; 6/8
How to represent fractions?A number sentence is defined as a mathematical sentence that is made up of numbers and symbols.
We want to write a number sentence using multiplication to show a fraction that is equivalent to 3/4.
Now, for us to find the final equivalent fraction, what we have to do is that we will divide or multiply by denominator and numerator by the same number that is equal to one e.g 3/3; 5/5; 6/6, etc.
Since we want to find equivalent fraction of 3/4, let us multiply both numerator and denominator by 2 to get;
(3 * 2)/(4 * 2) = 6/8
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Simplify (- -)--).
- | D)
21
32
© 21
|
32
Answer:
(- -)--).- | D)2132© 21|32 is not an equation i'm pretty sure
Step-by-step explanation:
Once a week you babysit your neighbor's toddler after school, usually going to
a local playground. You notice that each swing on the swing set takes nearly
the same amount of time, about 2.7 seconds. Use the pendulum formula
below to find out how long the swing is. Round your answer to the tenths
place.
Answer:
l = 1.8 feet
Step-by-step explanation:
Given that,
The time period of the pendulum, T = 2.7 seconds
We need to find the length of the swing. The formula for the time period of a simple pendulum is given by :
[tex]T=2\pi \sqrt{\dfrac{l}{g}}[/tex]
Where
l is the length of the swing.
[tex]T^2=\dfrac{4\pi^2l}{g}\\\\l=\dfrac{T^2g}{4\pi^2}\\\\l=\dfrac{(2.7)^2\times 9.8}{4\times 3.14^2}\\\\l=1.8\ \text{feet}[/tex]
So, the length of the swing is 1.8 feet long.
Answer:5.4
Step-by-step explanation:
Pls help me, if you get it right I will give you Brainlist!
Answer:
370 m²
Step-by-step explanation:
Front and back
a = 2(11 * 6)
a = 132 m²
Right and left sides
a = 2(7 * 6)
a = 84 m²
Top and bottom
a = 2(11 * 7)
a = 154 m²
______________________
total
a = 132 + 84 + 154
a = 370 m²
59.84 divided 32
What is the value of the expression?
Consider the line y = 8x-2.
Find the equation of the line that is parallel to this line and passes through the point (3, -2).
Find the equation of the line that is perpendicular to this line and passes through the point (3,-2).
Note that the ALEKS graphing calculator may be helpful in checking your answer.
Answer:
parallel line: y = 8x - 26
perpendicular line: y = -1/8 x - 13/8
Step-by-step explanation:
1.
Lines are parallel, so slopes are equal, and y-intercepts are different.
Given line:
y = 8x - 2
New line:
y = 8x + b
Use point (3, -2) and solve for b.
-2 = 8(3) + b
-2 = 24 + b
b = -26
Equation: y = 8x - 26
2.
Lines are perpendicular, so slopes are negative reciprocals.
Given line:
y = 8x - 2
New line:
m = -1/8
y = -1/8 x + b
Use point (3, -2) and solve for b.
-2 = -1/8 × 3 + b
-2 = -3/8 + b
b = -16/8 + 3/8
b = -13/8
Equation: y = -1/8 x - 13/8