A cylindrical tank is half-full of oil. The cylinder has base radius of 100cm.The height of the cylinder is 250cm. 1 litre =1000cm cubed
How many litres of oil are in the tank? Round your answer to the nearest litre.

Answer:

For the first question the answer is B

For the second question the answer is 15

Step-by-step explanation:

In the picture we can see that 45 is equal to 3 z's, which can also be written as 45 = 3z. Now that we know that 45 = 3z, we can divide both sides by 3 so that we know what z equals.

45 (/3) = 3z (/3)

15 = z

Now we can see that z is equal to 15

Answer:

The answer is B

Step-by-step explanation: 45 is =3z because it shows three triangles in the expression and three z variables so when you add all the variable together you get 3z, hence 45=3z. And the value of z is 1 because like all variables unless the expression accounts for the number of variable they all start out to have only one.

Answer:

72ft²

Step-by-step explanation:

Calculate the area of each face and then sum them.

area of base = 4 × 5 = 20 ft²

area of back = 5 × 3 = 15 ft²

area of sloping face = 5 × 5 = 25 ft²

area of 2 triangular faces = 2 ×  × 4 × 3 = 4 × 3 = 12 ft²

Thus

surface area = 20 + 15 + 25 + 12 = 72 ft²

Answer:

Step-by-step explanation:

Corresponding response ratings of wives and husbands form matched pairs.

The data for the test are the differences between the response ratings.

μd = the​ wives response ratings minus their husband's response ratings.

Wives. Husbands diff

2 2 0

2 1 1

3 2 1

3 3 0

4 2 1

2 1 1

1 1 0

1 1 0

2 2 0

4 4 0

Sample mean, xd

= (0 + 1 + 1 + 0 + 1 + 1 + + 0 + 0 + 0 + 0)/10 = 0.4

xd = 5.67

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (0 - 0.4)^2 + (1 - 0.4)^2 + (1 - 0.4)^2+ (0 - 0.4)^2 + (1 - 0.4)^2 + (1 - 0.4)^2 + (0 - 0.4)^2 + (0 - 0.4)^2 + (0 - 0.4)^2 + (0 - 0.4)^2 = 2.4

Standard deviation = √(2.4/10

sd = 0.49

For the null hypothesis

H0: μd ≥ 0

For the alternative hypothesis

H1: μd < 0

1) The distribution is a students t. Therefore, degree of freedom, df = n - 1 = 10 - 1 = 9

2) The formula for determining the test statistic is

t = (xd - μd)/(sd/√n)

t = (0.4 - 0)/(0.49/√10)

t = 2.581

3) We would determine the probability value by using the t test calculator.

p = 0.0148

4) Assume alpha = 0.05

Since alpha, 0.05 > than the p value, 0.0148, then we would reject the null hypothesis.

Therefore, at 5% significance level, we can conclude that the mean difference in the husband's versus the wife's satisfaction level is negative

Answer:

  $5764.14

Step-by-step explanation:

The future value formula is useful here.

  FV = P(1 +r/n)^(nt)

where P is the principal invested, r is the annual rate, n is the number of times per year interest is compounded, and t is the number of years.

  FV = $5000(1 +.0475/12)^(12·3) = $5764.14

The account will be worth $5764.14 after 3 years.

Those lines on both sides of the number means "absolute value." Those lines tell us that the number is positive no matter what. So:

15 + |-3| - 4 → 15 + 3 - 4

Remember to follow PEMDAS when solving.

(15 + 3) - 4

18 - 4

14

Therefore, the answer is 14.

Best of Luck!

Answer: 14

Step-by-step explanation: The vertical bars around the -3 mean that we take the absolute value of that number which is the positive version of that number.

So the absolute value of -3 would be 3.

So we have 15 + (3) - 4 which simplifies to 18 - 4 or 14.

Notice that I used parentheses when first getting rid of the absolute value signs. I think that this method will help you avoid confusion when simplifying absolute values.

It's a good habit to get into for future problems.

Answer:

5000

300

20

8

would be your answer :)

Answer:

because see a time

Step-by-step explanation:

Answer:

Surface area = [tex]2 \pi r^2 = 2 (12)^2 \pi in^2 = 288 \pi in^2[/tex]

Volume =[tex] 2/3 \pi r^3 = 2/3 (12)^3 \pi in^3 = 1152 \pi in^3[/tex]

Answer:

volume = 2/3πr³

2×π×12×12×12

3

1152π

surface area= 2πr²

2×π×12×12

288π

Answer:

Step-by-step explanation:

The diagonals of a rectangle have the same midpoint, so for points A, B, C, D, we must have ...

  (A+C)/2 = (B+D)/2

  D = A + C - B

  D = (-2, -8) +(8, 2) -(-2, 2) = (-2+8+2, -8+2-2)

  D = (8, -8)

__

The side lengths are 2-(-8) = 10, and 8-(-2) = 10. The area is the product of the side lengths, so is 10×10 = 100 square units.

_____

Comment on side lengths

When the end points of one side are on the same vertical line, the length of that side is the difference of y-coordinates. When the points lie on the same horizontal line, the side length is the difference of x-coordinates.

Answer:

the last vertex is (8,-8)

the area of the rectangle is 100 square units

Step-by-step explanation:

Answer:

Volume of a rectangular prism is 15.75 in.³ the base has an area 10.5 in.²

We also have:

Volume of a rectangular prism (V) = base area x height

=> height  = V/base area = 15.75/10.5 = 1.5 in

Hope this helps!

:)

Answer:

D) 239

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.005 = 0.995[/tex], so [tex]z = 2.575[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Required sample size:

Is n

n is found when [tex]M = 6[/tex]

We have that [tex]\sigma = 36[/tex]

So

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

[tex]6 = 2.575*\frac{36}{\sqrt{n}}[/tex]

[tex]6\sqrt{n} = 36*2.575[/tex]

Simplifying by 6

[tex]\sqrt{n} = 6*2.575[/tex]

[tex](\sqrt{n})^{2} = (6*2.575)^{2}[/tex]

[tex]n = 238.7[/tex]

We round up, and the answer is 239.

Answer:

B, and D.

Step-by-step explanation:

To calculate all of the possible dimensions, you multiply all of numbers in each letter to get the volume. If the volume in one of the letters equals 4,320 cubic inches, then that letter is one of your answers. For example, if you multiply for letter A, which includes the dimensions 24 in, 32 in, and 13 in, then you would get 9,984, which is not the same as 4,320.

Answer:

835,761,853,981

Step-by-step explanation:

To find how long numbers are odd you look at the last number for example 835,5 is an odd number making the rest of the numbers odd.

Hope my explanation helped

Answer:

$210

Step-by-step explanation:

do 84/4 to find out money per day which is 21. 21 x 10 = 210

therefore 210 is the answer

Answer:

37

Step-by-step explanation:

add all and divide

Answer:

$37

Step-by-step explanation:

Add the values in the data set:

40 + 40 + 51 + 32 + 22 = 185

There are 5 values in the data set.

Divide 185 by 5:

185 ÷ 5 = 37

The mean amount that Ryan earned should be $37 dollars.

Answer:

The difference between the heights of the poles is 10m

Step-by-step explanation:

The distance between poles is 24 m

The length of the cable is 26m

You first use the Pythagoras' theorem to calculate the vertical distance between the end of one pole and the end of the other one.

[tex]c_2=\sqrt{h^2-c_1^2}\\\\c_2=\sqrt{(26m)^2-(24m)^2}=\sqrt{100}m=10m[/tex]

The difference between the heights of the poles is 10m

The higher pole has height of 50m

Then, the lower pole has a height of 50m - 10m = 40m

Answer:

21

Step-by-step explanation:

9 = 3*3

10 = 5*2  

5*3 = 15

2*3 = 6

15 + 6 = 21

Answer:

4.2

Step-by-step explanation:

In a 45°45°90° triangle, the ratios of the sides to the hypotenuse is x : x√2

So if x√2 = 6, x = 3√2

3√2 is approximately 4.2

Hope this helps.

Hey Mate

Substitute

8(.25)-1+14

2-1+14

1+14

15

Hope it helps

So the right answer is 15.

Look at the attached picture

Hope it will help you

Answer:

16k so it is D

Step-by-step explanation:

Answer:

IG=28.9 ft

Step-by-step explanation:

we know that

In the right triangle GHI

----> by CAH )adjacent side divided by the hypotenuse)

substitute the given values

solve for IG

see the attached figure to better understand the problem

Answer:

H=38.2466≈38.2

Step-by-step explanation:

Answer:

45.5 sq. feet

Step-by-step explanation:

Area of trapezoid is given by 1/2(sum of parallel sides) * height of trapezoid.

In the problem

Parallel sides are  bottom and top sides with  length of 8.5 feet and 5.5 feet

Thus sum of Parallel sides =  8.5 feet + 5.5 feet = 14 feet

Height =  6.5 feet.

Thus,

area of  trapezoid = 1/2*(14)* 6.5 feet = 7*6.5 feet = 45.5 sq. feet

The area of the trapezoid is whose sides are 8.5 feet and 5.5 feet with a height of 6.5 feet is 45.5 feet squared.

A trapezoid is a quadrilateral with parallel opposite sides and a height.

Mathematically, the area of a trapezoid can be calculated by using the expression:

[tex]\mathbf{Area \ of\ a \ trapezoid = \dfrac{1}{2}(a+b)\times h}[/tex]

where:

[tex]\mathbf{Area \ of\ a \ trapezoid = \dfrac{1}{2}(8.5+5.5)\times 6.5}[/tex]

[tex]\mathbf{Area \ of\ a \ trapezoid = \dfrac{1}{2}(14)\times 6.5}[/tex]

[tex]\mathbf{Area \ of\ a \ trapezoid = 45.5 \ ft^2}[/tex]

Learn more about calculating the area of a trapezoid here:

https://brainly.com/question/1410008

#SPJ2

Answer:

[tex]D=\sqrt{145 }\\[/tex]

Step-by-step explanation:

We are actually using Pythagorean theorem here but to be simple

we can use the equation:

D(distance)=[tex]\sqrt{(x_{1}- x_{2} )^{2} +( y_{1}-y_{2})^{2}}[/tex]

=

[tex]D=\sqrt{(15-3)^{2}+(6-7)^{2} } =\\D=\sqrt{(12)^{2}+(-1)^{2} } =\\\\D=\sqrt{144+1 } =\\D=\sqrt{145 }\\[/tex]

(If you meant 16 instead of 6 the answer would be 15)

Hope this helps!

Answer:

distance = Sqrt((x2-x1)^2 +(y2-y1)^2)

Step-by-step explanation:

Answer:

e. Two-sample t-test.

Step-by-step explanation:

This is simply because you only have interval level of measure and you are comparing two populations.

Moreso, this hypothesis test is used to determine questions related to the mean in situations where data is collected from two random data samples. The two sample T-test is often used for evaluating the means of two variables or distinct groups, providing information as to whether the means between the two populations differs. It also can be used to compare the responses of males and females who have each received different treatment within an experiment.

Answer:

Step-by-step explanation:

if angles are complementary, that means they add up to 90º

if one is 65.3, then the other is just 90 - 65.3

<S = 90º - <R

<S = 90º - 65.3º

<S = 24.7º

Answer:

it is 3D

Step-by-step explanation:

Answer:

Its 3 dimensional

Step-by-step explanation:

I took the test

Answer:

Does this help?

Step-by-step explanation:

2 = 4x + 12 and angle 4 = 7x - 6

Use the slope-intercept form to find the slope and y-intercept.

Slope: 0

y-intercept: 4

Use the slope-intercept form to find the slope and y-intercept.

Slope: 0

y-intercept: 2

Use the slope-intercept form to find the slope and y-intercept.

Slope: 0

y-intercept: 4

Graph 2= 4x + 12

Slope: Undefined

y-intercept: No y-intercept

Plot each graph on the same coordinate system.

4=

2=

4=

2= 4x + 12

4= 7x − 6