PLS HELP-- The total area of the rectangular prism shown is a. 30 sq ft b. 50 sq ft c. 62 sq ft

Answer:

50.6 m²

Step-by-step explanation:

The area of a rectangle is length × breadth.

9.96 × 5.08

= 50.5968

Rounding.

⇒ 50.60

⇒ 50.6

Answer:

  5√3 ft/s

Step-by-step explanation:

Let h represent the horizontal distance of the kite from the person. Let s represent the string length. Then the Pythagorean theorem tells us ...

  s^2 = 100^2 + h^2

  2s·ds/dt = 0 + 2h·dh/dt

  ds/dt = (h/s)·dh/dt

So, we need to know the horizontal distance when s=200.

  200^2 = 100^2 + h^2

  40000 -10000 = h^2

  h = 100√3

Substituting known values into the equation for ds/dt, we have ...

  ds/dt = (100√3)/(200)(10 ft/s) = 5√3 ft/s

The string must be let out at 5√3 ft/s when it is already 200 ft long.

Answer:

The product of 5/ 12 and –420 should have been the value of x.

Answer: D

Step-by-step explanation:

Took the test

Answer:

d. The length of a movie

Step-by-step explanation:

A discrete random variable is a variable which only takes on integer values.

A discrete distribution is used to describe the probability of the occurrence of each value of a discrete random variable.

From the given options, the length of a movie is not a discrete variable as it can have decimal values.

It therefore cannot have a Discrete probability distribution.

The correct option is D.

Answer: $12088.55

Step-by-step explanation:

A = p(1+r/n)^nt

A = 8000(1+0.07/2)^2*6

A = 12088.54926

Answer:

Step-by-step explanation:

It doesn't always work to choose the largest possible square first.

a. 15 = 9 + 4 + 1 + 1 = 3² +2² +1² +1²

b. 24 = 16 + 4 + 4 = 4² +2² +2²

c. 33 = 25 + 4 + 4 = 5² +2² +2²

d. 624 = 484 +100 +36 +4 = 22² +10² +6² +2²

Replace x with 2 and solve:

2^2 + 4(2) = 4 + 8 = 12

Replace x with 3 and solve:

3^2 + 4(3) = 9 + 12 = 21

The difference between the two answers is : 21 -12 = 9

The difference between the two inputs is 3-2 = 1

The rate of change is the change in the answers I’ve the change in the inputs:

Rate of change = 9/1 = 9

Answer:

2.5 mg

Step-by-step explanation:

.5 x 5 = 2.5

Answer:

Six

Step-by-step explanation:

The answer could be shown in multiple forms, but if I'm correct, the answer to this problem would be six.

Hey there!

You haven't provided any answer options but here's how you would solve a problem like this.

To find the number in between two numbers, you add it up and divide it by two!

So, what's between 1 and 3? Well you do 1+3 is 4 then divide by 2 you get 2!

100 and 580? You add them to get 680 then divide by two you get 340!

In between 0.57 and 0.69? Adding gives you 1.26 and then divide by two and we have 0.63!

And with percents, let's do 45% and 67%. You add you get 112% and then divide by two you have 56%!

So, with your answer options just add them up and divide by two and see which one gives you 76%!

I hope that this helps!

Answer:

x = -2.47, 0.47

Step-by-step explanation:

Easiest and quickest way to do this is to graph the quadratic and analyze for x-intercepts.

Alternatively, we have to use the Quadratic Formula because we cannot factor the expression.

Answer:

Hope this helps you

Answer:

This Statement is True.

Check Explanation for why it is true.

Step-by-step explanation:

The sampling distribution of sample means arises when random samples are drawn from the population distribution and their respective means are computed and put together to form a distribution. Hence, the curve of this sampling distribution of sample means will show how the sample means are distributed. Hence, this statement is true.

Hope this Helps!!!

Options :

(A.) y=558-273x (B.) y=264+142x (C.) y = 55.8 +2.79x (D.) y= -26.4-1.42x

Answer:

C.) ŷ = 2.79X + 55.8

Step-by-step explanation:

Given the data:

cost (x): 9 2 3 4 2 5 9 10

Number of products sold: 85 52 55 68 57 86 83 73

Using the online regression calculator to generate a linear regression plot of the given data: the model obtained is given below

ŷ = 2.79X + 55.8

With y being the predicted or dependent variable

Slope or gradient of the line = 2.79

X = the independent variable

55.8 = the intercept.

Answer:

She can cut 122 pieces.

Step-by-step explanation:

She has 3 pieces of ribbon that are 25 yds long. In total, she has 75 yds, which is equal to 2700 in. Erika needs 22 in. pieces, so just divide 2700 by 22 to get your number.

2700/22 ≈ 122.72

Answer:

d. (0.737, 0.823)

The 90% confidence interval is = (0.737, 0.823)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

p+/-z√(p(1-p)/n)

Given that;

Proportion p = 195/250 = 0.78

Number of samples n = 250

Confidence interval = 90%

z value(at 90% confidence) = 1.645

Substituting the values we have;

0.78 +/- 1.645√(0.78(1-0.78)/250)

0.78 +/- 1.645√(0.0006864)

0.78 +/- 1.645(0.026199236630)

0.78 +/- 0.043097744256

0.78 +/- 0.043

(0.737, 0.823)

The 90% confidence interval is = (0.737, 0.823)

Answer:

c = 730cm

Step-by-step explanation:

The first thing we would do is to draw the diagram using th given information.

Find attached the diagram.

a = 714 cm

the measure of angle A = 78°

To determine c, we would apply sine rule. This is because we know the opposite and we are to determine the hypotenuse

sin78 = opposite/hypotenuse

sin 78 = 714/c

c = 714/sin 78 = 714/0.9781

c= 729.99

c≅ 730 cm ( nearest cm)

Answer:

Solution,

____________________________

Men ------------------------------ Days

_____________________________

In case of indirect proportion,

4/6= 6/X

or, 6*X= 6*4 ( cross multiplication)

or, 6x= 24

or, 6x/6= 24/6 ( dividing both sides by 6)

Hope this helps...

Good luck on your assignment..

Answer:

[tex]\boxed{4 days}[/tex]

Step-by-step explanation:

M1 = 4

D1 = 6

M2 = 6

D2 = x (we've to find this)

Since,  it is an inverse proportion (more man takes less days for the work to complete and vice versa), so we'll write it in the form of

M1 : M2 = D2 : D1

4 : 6 = x : 6

Product of Means = Product of Extremes

=> 6x = 4*6

=> 6x = 24

Dividing both sides by 6

=> x = 4 days

Answer:

[tex] Conf= 0.80[/tex]

With the confidence level we can find the significance level:

[tex]\alpha =1-0.8=0.2[/tex]

And the value for [tex]\alpha/2=0.1[/tex]. Then we can use the normal standard distribution and we can find a quantile who accumulates 0.1 of the area on each tail and we got:

[tex] z_{\alpha/2}= \pm 1.28[/tex]

Step-by-step explanation:

For this problem we have the confidence level given

[tex] Conf= 0.80[/tex]

With the confidence level we can find the significance level:

[tex]\alpha =1-0.8=0.2[/tex]

And the value for [tex]\alpha/2=0.1[/tex]. Then we can use the normal standard distribution and we can find a quantile who accumulates 0.1 of the area on each tail and we got:

[tex] z_{\alpha/2}= \pm 1.28[/tex]

Answer:

no letter is repeated: 30 words

letters can be repeated: 36 words

adjacent letters different: 30 words

Step-by-step explanation:

We have a total of 6 letters to create a 2-letter code, so if the letters can't be repeated, the first letter has 6 possible values and the second letter has 5 possible values, so the number of 2-letter code words is:

N = 6*5 = 30 words

If the letters can be repeated, each letter has 6 possible values, then we have:

N = 6*6 = 36 words

If adjacent letters must be different, the two letters in the code must be different, because they are adjacent to each other, so we have:

N = 6*5 = 30 words

Answer:

The number of possible combinations of sports and instrument that Anja can select is 12.

Step-by-step explanation:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

[tex]{n\choose k}=\frac{n!}{k!\cdot(n-k)!}[/tex]

It is said that Anja can choose one sport to play and one instrument to learn using the list below:

Sports: softball, basketball, tennis, or swimming

Instruments: guitar, piano, or clarinet​.

There 4 options for sports and 3 for an instrument.

Compute the number of ways to select one sport to play as follows:

[tex]n (S)={4\choose 1}=\frac{4!}{1!\cdot(4-1)!}=\frac{4!}{3!}=\frac{4\times3!}{3!}=4[/tex]

Compute the number of ways to select one instrument to learn as follows:

[tex]n(I)={3\choose 1}=\frac{3!}{1!\cdot(3-1)!}=\frac{3!}{2!}=\frac{3\times2!}{2!}=3[/tex]

Compute the number of possible combinations of sports and instrument that Anja can select as follows:

Total number of possible combinations = n (S) × n (I)

                                                                  [tex]=4\times 3\\=12[/tex]

Thus, the number of possible combinations of sports and instrument that Anja can select is 12.

Answer:

12

Step-by-step explanation:

Answer: 42

Step-by-step explanation:

Simply substitute 7 for x.

56 - 2(7)

56 - 14

42

Hope it helps <3

Answer:

f(7)=42

Step-by-step explanation:

f(x)=56-2x

Here put x=7

f(7)=56-2(7)

f(7)=56-14

f(7)=43

I hope this will help you :)

Answer:

12 boys

Step-by-step explanation:

From the above question:

Number of boys = 3

Number of girls = 2

Boys: Girls

3:2

Let :

a = boys

b = girls

Hence, a : b = 3 : 2

a/b = 3/2  

Cross Multiply

2a = 3b .......... Equation 1

a = 3b/2

If four more girls join the class, there will be the same number of boys and girls

Hence,

a: b + 4 = 3 : 3

a/b + 4 = 3/3

Cross Multiply

3a = 3(b + 4)

3a = 3b + 12 ........ Equation (2)

From Equation 1: a = 3b/2

Substitute 3b/2 for a in Equation 2 we have:

3a = 3b + 12 .........Equation 2

3(3b/2) = 3b + 12

9b/2 = 3b + 12

Cross Multiply

9b = 2(3b + 12)

9b= 6b + 24

9b - 6b = 24

3b = 24

b = 8

Substitute 8 for b in Equation 1

a = 3b/2

a = 3 × 8/2

a = 24/2

a = 12

Therefore, the number of boys in the class is 12

Answer:

2

Step-by-step explanation:

Answer:

I hope it will help you....

Answer:

5 4/5

Step-by-step explanation:

29 ÷ 5 = 5

29 - 25 = 4

Since 5x5 is 25 and we have 4 as a remainder we put it over the original denominator 5.

I really hope this helps.

29/5 as a mixed number is 5 and 4/5.

To convert the indecorous bit29/5 into a mixed number.

First, divide the numerator( 29) by the denominator( 5) and express the result as a whole number and a bit.

Now, 29 divided by 5 equals 5 with a remainder of 4.

The quotient( 5) becomes the whole number part of the mixed number, and the remainder( 4) becomes the numerator of the bit part, while the denominator remains the same.

Thus, 29/5 as a mixed number is 5 and 4/5.

Learn more about Mixed Fraction here:

https://brainly.com/question/29019463

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▹ Answer

Answer = b. 13/5

▹ Step-by-Step Explanation

|4 - 5| ÷ 9 × 3³ - 2/5

|-1| ÷ 9 × 3³ - 2/5

1 ÷ 9 × 3³ - 2/5

1/9 × 3³ - 2/5

1/3² × 3³ - 2/5

3 - 2/5

Answer = 13/5

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer:

[tex] \boxed{\sf b. \ \frac{13}{5}} [/tex]

Step-by-step explanation:

[tex] \sf Simplify \: the \: following: \\ \sf \implies \frac{ |4 - 5| }{9} \times {3}^{3} - \frac{2}{5} \\ \\ \sf 4 - 5 = - 1 : \\ \sf \implies \frac{ | - 1| }{9} \times {3}^{3} - \frac{2}{5} \\ \\ \sf Since \: - 1 \: is \: a \: negative \: constant, \: |-1| = 1: \\ \sf \implies \frac{1}{9} \times {3}^{3} - \frac{2}{5} \\ \\ \sf {3}^{3} = 3 \times {3}^{2} : \\ \sf \implies \frac{ \boxed{ \sf 3 \times {3}^{2}} }{9} - \frac{2}{5} \\ \\ \sf {3}^{2} = 9 : \\ \sf \implies \frac{3 \times 9}{9} - \frac{2}{5} \\ \\ \sf \frac{9}{9} = 1 : \\ \sf \implies 3 - \frac{2}{5} [/tex]

[tex] \sf Put \: 3 - \frac{2}{5} \: over \: the \: common \: denominator \: 5 : \\ \sf \implies 3 \times \frac{5}{5} - \frac{2}{5} \\ \\ \sf \implies \frac{3 \times 5}{5} - \frac{2}{5} \\ \\ \sf 3 \times 5 = 15 : \\ \sf \implies \frac{ \boxed{ \sf 15}}{5} - \frac{2}{5} \\ \\ \sf \implies \frac{15 - 2}{5} \\ \\ \sf 15 - 2 = 13 : \\ \sf \implies \frac{13}{5} [/tex]

Answer:

(a) 2 white & 1 red ball = 42 ways

(b) All 3 white balls =  4 ways

(c) All 3 red balls = 35 ways

Step-by-step explanation:

An urn contains 4 white balls and 7 red balls. Three balls are selected.

In how many ways can the 3 balls be drawn from a total of 11 ​balls:

​(a) If 2 balls are white and 1 is​ red?

The 2 white balls can be selected in ⁴C₂ ways

The 1 red ball can be selected in ⁷C₁ ways

2 white & 1 red ball = ⁴C₂ × ⁷C₁

2 white & 1 red ball = 6 × 7

2 white & 1 red ball = 42 ways

​(b) If all 3 balls are​ white?

The 3 white balls can be selected in ⁴C₃ ways

The 0 red ball can be selected in ⁷C₀ ways

All 3 white balls = ⁴C₃ × ⁷C₀

All 3 white balls =  4 × 1

All 3 white balls =  4 ways

​(c) If all 3 balls are​ red?

The 3 red balls can be selected in ⁷C₃ ways

The 0 white ball can be selected in ⁴C₀ ways

All 3 red balls = ⁷C₃ × ⁴C₀

All 3 red balls = 35 × 1

All 3 red balls = 35 ways

Answer:

32.38 square m

Step-by-step explanation:

Diameter of semicircle = 5 m

Hence, radius = 5/2 = 2.5 m

Area of figure = Area of rectangle - 2 times area of one semicircle

[tex] = l \times b - 2 \times \frac{1}{2} \pi {r}^{2} \\ \\ = 10.4 \times 5 - \pi {r}^{2} \\ = 52 - 3.14 \times {(2.5)}^{2} \\ = 52 - 3.14 \times 6.25 \\ = 52 - 19.625 \\ = 32.375 \\ \approx 32.38 \: {m}^{2} \\ [/tex]

Answer:

1. V = 15.95 (to 2 decimal places)

2. V = 107.23 (to 2 decimal places)

3. V = 560.25 (to 2 decimal places)

Step-by-step explanation:

1. y = ln 5x, y = 2, y = 3, x = 0; about the y-axis

Find volume using the disk method.

First find inverse of y=ln(5x)

5x = exp(y)

x(y)=exp(y)/5

Width of each strip = dy

length of each strip = x(y)

volume of each disk by rotation of strip about y=axis

dV = 2*pi*x(y)dy

total volume  

V = integral (dV) for y=2 to 3

= integral (2*pi*e^y/5) for y=2 to 3

= 2*pi*(e^y/5) for y=2 to 3

= 2pi(e^3-e^2)/5

= 15.95 (to 2 decimal places)

2. y2 = 2x, x = 2y; about the y-axis

Find point of intersection between  

solve y^2/2 = 2y  =>  y=4, x=2y=8, therefore

intersection is at (8,4), which is the upper integration limit

Using the disk method again

Volume of each disk

dV(y) = pi((2y)^2-(y^2/2)^2)dy

Total volume of solid  

V = integral(pi((2y)^2-(y^2/2)^2)dy) for y=0 to 4

= pi (4y^3/3 - y^5/20)  for y = 0,4

= pi (256/3 - 1024/20)

= 512pi/15

= 107.23 (to 2 decimal places)

3. y = x, y = 0, x = 2, x = 7; about x = 1

Use the shell method.

volume of each shell formed by roatation of a vertical strip about the axis of rotation (x=1)

dV = 2*pi*(x-1)*(y*dx)

Total volume of rotation

V = integral(2*pi*(x-1)*y dx for x=2 to 7

= 535pi/3

= 560.25 (to 2 decimal places)