Answer:
The volume of the composite figure is approximately 337.27 m³
Step-by-step explanation:
The given parameters are;
The length of the cylinder, L = 15 meters
The diameter of the cylinder, D = 7 meters
The base length of the square prism, B = 4 meters
We note that the square diagonal of the square = √(4² + 4²) = 4·√2 ≈ 5.66 meters, fits in the cylinder
Therefore, we have;
The volume of the composite figure = The volume of the cylinder - The volume of the square prism
The volume of the cylinder = π/4 × D² × L = π/4 × 7² × 15 ≈ 577.27 m³
The volume of the square prism = B² × L = 4² × 15 = 240 m³
∴ The volume of the composite figure ≈ 577.27 m³ - 240 m³ ≈ 337.27 m³
The volume of the composite figure ≈ 337.27 m³.
A triangular playground has angles with measure in the ratio 6:4:5.What is the measure of the smallest angle
Answer:
36 degrees
Step-by-step explanation:
Earlier we investigated the relationship between x = payroll (in millions of dollars) and y = number of wins for Major League Baseball teams in 2016. Given is a scatterplot of the data, along with the regression line y^ = 60.7 + 0.139x . Interpret the slope of the regression line.
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Equation of regression line : y^ = 60.7 + 0.139x
x = payroll (in millions of dollars) and y = number of wins for Major League Baseball teams in 2016.
From the general regression equation:
y = mx + c
Where m = slope of regression line.
The slope (m) of the equation given is 0.139
The slope could be interpreted as ; for every per unit change in y (every win a major league baseball team has in 2016), the payroll in million dollar increases by a product of 0.139
The slope of a regression line is the average rate of change of the line.
The interpretation of the slope is: the rate of wins per payroll is 13.9%
From the question, we have:
[tex]\mathbf{\bar y= 60.7 + 0.139x}[/tex]
The equation of a linear regression is:
[tex]\mathbf{\bar y= c + mx}[/tex]
Where m represents the slope
So, by comparison:
[tex]\mathbf{m = 0.139}[/tex]
[tex]\mathbf{m = 13.9\%}[/tex]
This means that, the rate of wins per payroll is 13.9%
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negative four times the sum of a number and 3 is at least 28, translate.
Answer: [tex]-4 * (n+3) \geq 28[/tex]
Step-by-step explanation:
Negative four -> [tex]-4[/tex]
Times the sum of a number and 3 -> [tex]-4 * (n + 3)[/tex]
Is at least 28 -> [tex]-4 * (n+3) \geq 28[/tex]
The angle measures of a triangle are 2y + 3 degrees, 9y – 7 degrees, and 7y + 4 degrees. Which of the following is not one of the angle measures of the triangle?
Answer:
55
Step-by-step explanation:
The measures of the angles are 23, 83, and 74 degrees. 97 degrees is not the measure one of the angle measures of the triangle option (B) is correct.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
It is given that:
The angle measures of a triangle are 2y + 3 degrees, 9y – 7 degrees, and 7y + 4 degrees.
As we know,
The sum of the interior angle of the triangle is 180 degrees
2y + 3 + 9y - 7 + 7y + 4 = 180
18y = 180
y = 10
2y + 3 = 2(10) + 3 = 23 degres
9y - 7 = 9(10) - 7 = 83 degrees
7y + 4 = 7(10) + 4 = 74 degrees
Thus, the measures of the angles are 23, 83, and 74 degrees. 97 degrees is not the measure one of the angle measures of the triangle option (B) is correct.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
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5 divided by 4= 25 divided by x
wHAT IS X
Answer:
x=20
Step-by-step explanation:
so 5/4 is 1.25
so 25/x=1.25
so to find x we do 25/1.25
when we do that we get 20 so then to check if it's right we divide 25/20 and we get 1.25 so it's right
Answer:
yeet
Step-by-step explanation:
a) Estimate 0.42 x 0.064 by rounding both numbers to one significant figure.
b) Work out the exact value of 0.42 x 0.064
Answer:
A) 0.030
B) 0.026
Step-by-step explanation:
I hope this HELP! :)
Brian measures his height at 160cm to the nearest 10cm.
What is the tallest he could be?
Give the upper bound as your answer.
Answer:
170 cm is the tallest
Nick and his cousin Katie are picking apples in their grandparents' orchard. Nick has filled 15 baskets with apples and is filling them at a rate of 1 basket per hour. Katie has 10 full baskets and will continue picking at 2 baskets per hour. Once the cousins get to the point where they have filled the same number of baskets, they will carry them to the barn and then eat lunch. How long will that take?
Answer:
240/4 hours will be 8 baskets
Step-by-step explanation:
What is the value of 7m – 3n when m = 3 and n = 2?
O 5
O 15
O 24
O 36
Answer:
the answer is 15
Step-by-step explanation:
[tex]7(3) - 3(2) = 15[/tex]
which TWO Points cannot be included in the function that includes (-2,6),(-1,4),(0,2),(1,0)(3,-4) and (4,6)
A).(-4,10)
B). (-1,5)
C).(2,-3)
D).(4,8)
E).(6,-9)
Answer:
B D
Step-by-step explanation:
Does the equation “y = x/10” represent a proportional relationship?
Answer: I think it does
Step-by-step explanation:
Bc x turn into 1/10
Yes, the equation y = x/10 do represent a proportional relationship.
What is Proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent.
Given an equation, y = x/10
This equation is representing a proportional relationship because in the equation there are two equal ratios and according to definition of proportion, the equation is proportional.
Hence, the equation y = x/10 do represent a proportional relationship.
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I need help whoever answers this question will be the brainliest!!!
Answer:
7
Step-by-step explanation:
If you like skittles then you like candy True or false
Answer:
trueeeeeeeeeeeeeeeee
ILL GIVE BRAINLIEST IF UPU ANSWER ALL AND GOOD PLS JUST HELP I FOR GOT
round 13.045 to the nearest hundreth
Answer:
13.00
Step-by-step explanation:
I will mark. so please I WANT AN A+!!!!!
Answer:
-4.5, -3 1/2, -3, -2.5, 4 1/2
Step-by-step explanation:
the higher the numbers as a negative, the smaller they are! :)
Answer:
from least to greatest
Step-by-step explanation:
1. -4.5
2.-3 1/2
3. -3
4.-2.5
5. 4 1/2
HAVE A NICE DAY HOPE U GET A A+
Sady has $545, she want to buy a boyfriend he cost $1000 on Ebay how mush does she nee to buy him?
Answer:
Sady needs $455 more dollars
Step-by-step explanation:
1,000-545=455
1. What is the distance between -12 and 6 on the number
line?
PLS HELP FIND ANGLE MEASUREMENTS
Answer:
From my observations, AOB looks like an isosceles triangle, so A=18 and B=18. Since a triangle must add up to 180. We do 180-18-18=144. O= 144. Then, triangle BOC looks like an isosceles triangle as well. So, we do 180-144= 36 so O = 36 and then we 180-36=144/2 because two sides have the same angles giving us 72 degrees for angles B and C = 72 and for O= 36
So,
x = 72
y = 36
y+2=−3(x−4)= whats the missing equation
3/4(12x−9) +b4 = 5−3(2−3x)
Solve for x:
Take the root of both sides and solve.
All real numbers Interval Notation
(-infinity, infinity)
(Don’t actually write infinity, write the infinity symbol)
What is the Reciprocal of 5/12
Answer:
12/5 just flip the numbers :D
Step-by-step explanation:
Neurons are brain cells. Where would a new neuron come from?
Answer:
New neurons are born not from mature nerve cells but rather develop from neural stem cells that remain in our brains throughout life. Indeed, in some brain areas, there is continual turnover of neurons - old ones die and new ones are born - and these new neurons can participate in circuits that underlie learning.
Step-by-step explanation:
1) A ratio of 2 to 10 is the same as
*
02/14
2/12
O 1/5
2/5
Answer:1/5
Step-by-step explanation:
Two and ten divided by two equals 1 and 5 so 1/5
What do the four yellow tiles in the model of the equation below represent?
1
xxx
-4
4
-4x
4x
is y=7x proportional
Answer: Yes. It is inversely proportional.
Step-by-step explanation:
In your question, the constant of proportionality already jump out at us which is to get y, we have to multiply x by 7. Therefore the constant of proportionality is y=7x.
Two 5-year girls, Alyse and Jocelyn, have been training to run a 1-mile race. Alyse's 1 mile time A is approximately Normally distributed with a mean of 13.5 and standard deviation of 2.5 minutes. Jocelyn's 1-mile time J is approximately Normally distributed with a mean of 12 minutes and a standard deviation of 1.5 minutes. Assuming A and J are independent random variables, what is the probability that Alyse has a smaller time than Jocelyn in a 1 mile race on a randomly selected day?
Answer:
1.7 × 10⁻⁴
Step-by-step explanation:
The question relates to a two sample z-test for the comparison between the means of the two samples
The null hypothesis is H₀: μ₁ ≤ μ₂
The alternative hypothesis is Hₐ: μ₁ > μ₂
[tex]z=\dfrac{(\bar{x}_1-\bar{x}_2)-(\mu_{1}-\mu _{2} )}{\sqrt{\dfrac{\sigma_{1}^{2} }{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}}[/tex]
Where;
[tex]\bar {x}_1[/tex] = 13.5
[tex]\bar {x}_2[/tex] = 12
σ₁ = 2.5
σ₂ = 1.5
We set our α level at 0.05
Therefore, our critical z = ± 1.96
For n₁ = n₂ = 23, we have;
[tex]z=\dfrac{(13.5-12)-(0)}{\sqrt{\dfrac{2.5^{2} }{23}-\dfrac{1.5^{2}}{23}}} = 3.5969[/tex]
We reject the null hypothesis at α = 0.05, as our z-value, 3.5969 is larger than the critical z, 1.96 or mathematically, since 3.5969 > 1.96
Therefore, there is enough statistical evidence to suggest that Alyse time is larger than Jocelyn in a 1 mile race on a randomly select day and the probability that Alyse has a larger time than Jocelyn is 0.99983
Therefore;
The probability that Alyse has a smaller time than Jocelyn is 1 - 0.99983 = 0.00017 = 1.7 × 10⁻⁴.
Refer the below solution for better understanding.
Step-by-step explanation:
Given :
Standard Deviation, [tex]\rm \sigma_1 = 2.5\; and\;\sigma_2= 1.5[/tex]
Calculation :
The null Hypothesis is [tex]\rm H_0: \mu_1\leq\mu_2[/tex]
The alternative Hypothesis is [tex]\rm H_a: \mu_1>\mu_2[/tex]
Now,
[tex]z = \dfrac{(\bar{x_1}-\bar{x_2})-(\mu_1-\mu_2)}{\sqrt{\dfrac{\sigma_1^2}{n_1}-\dfrac{\sigma_2^2}{n_2}} }[/tex] --------------- (1)
putting the values of
[tex]\bar{x_1}=13.5,\;\bar{x_2}=12,\;\sigma_1=2.5,\;\sigma_2=1.5[/tex]
in equation (1)
[tex]z=\dfrac{(13.5-12)-(0)}{\sqrt{\dfrac{2.5^2}{23}-\dfrac{1.5^2}{23}} }[/tex]
z = 3.5969
We reject the null hypothesis at
[tex]\alpha =0.05[/tex]
z-value is larger than the critical z.
3.5969 > 1.96
Therefore, there is enough statistical evidence to suggest that Alyse time is larger than Jocelyn in a 1 mile race on a randomly select day.
The probability that Alyse has a larger time than Jocelyn is 0.99983
Therefore, the probability that Alyse has a smaller time than Jocelyn is
[tex]1-0.99983 = 0.00017 = 1.7\times10^-^4[/tex]
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The amount that Ronnie earns, E, in terms of the number of hours that he works, h, is shown in
the graph below.
What is the constant of proportionality. E/h for this situation
Answer:
8
Step-by-step explanation:
The constant of proportionality bus the amount earned by Ronnie, E, all over the corresponding hours he used in working, h.
Constant of proportionality = [tex] \frac{E}{h} [/tex]
From the graph given, when h = 5, E = 40.
Therefore:
Constant of proportionality = [tex] \frac{E}{h} = \frac{40}{5} = 8 [/tex]
1. –X + Y = -22X – Y = 6
2. X + Y = 5-2X + Y = -4
Answer:
1. –X + Y = -22X – Y = 6
2. X + Y = 5-2X + Y = -4
Step-by-step explanation:
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