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1. 4x=44

2. 20x=200

Answer:

minimum- 19

first quartile - 26.5

median - 29

third quartile - 31

maximum - 40

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

Yes, the base of the bicycle rack measures about 15 inches.

The sine (sin) of an acute angle in a right angled triangle is the ratio between the side opposite the angle and the hypotenuse of the triangle.

A restaurant owner plans to install this bicycle rack in front of her restaurant.

In order to meet city safety requirements, the base of the bicycle rack cannot exceed 20 inches so as to not obstruct pedestrians.

The base of the bicycle is ;

In the right angle triangle;

[tex]\rm = sin38 \times 24\\\\ =0.61 \times 24\\\\=14.77[/tex]

Yes, the base of the bicycle rack measures about 15 inches.

Hence, Yes, the base of the bicycle rack measures about 15 inches.

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Answer:

88

Step-by-step explanation:

Solution :

This is the two tailed test.

The null hypothesis and the alternate hypothesis is as :

Null hypothesis is [tex]$H_0:\mu=110000$[/tex]

Alternate hypothesis is [tex]$H_0:\mu \neq110000$[/tex]

[tex]$\overline x = 112000, \ \mu = 110000, \sigma = 16100, n = 50, \alpha = 0.02$[/tex]

Therefore, the critical value of z is :

[tex]$z_{\alpha} = -2.33 \text{ and}\ 2.33$[/tex]

Now the test statics is :

[tex]$z=\frac{\frac{(\overline x - \mu)}{\sigma}}{\sqrt n}$[/tex]

[tex]$z=\frac{\frac{(112000-110000)}{16100}}{\sqrt {50}}$[/tex]

[tex]$z=0.87$[/tex]

The test statics is 0.878

We see that it is a right tailed test.

[tex]$P(z > 0.878)=1-P(z<0.878) = 1 - 0.81 = 0.19$[/tex]

[tex]$P- \text{value}= \ 2 \times 0.19$[/tex]

              = 0.3800

Thus , P-value > α

So we fail to reject the null hypothesis.

Answer:

1)556.11 cm²

2)164.05 cm²

3)117.70 cm²

Step-by-step explanation:

1) We have a cylinder and a cone on top of it.

Formula for total surface area of cylinder is;

T.S.A = 2πrh + 2πr²

However, the top is not available for calculation here. Thus, we will use;

TSA = 2πrh + πr²

Thus;

TSA = 2π(5 × 12) + π(5)²

TSA = 455.53 cm²

The top is a cone but it's bottom is not included and so we will use lateral surface area of cone = πrL

L is the slanting height and can be calculated from pythagoras theorem ;

L = √(5² + 4²)

L = √41

Thus;

LSA = π × 5 × √41 = 100.58 cm²

Overall surface area = 455.53 + 100.58. Overall surface area = 556.11 cm²

2) for the box down;

TSA = 2lw + 2lh + 2hw

Since the top face is not used, then

TSA = lw + 2lh + 2hw

TSA = (5 × 5) + 2(5 × 5) + 2(5 × 5)

TSA = 125 cm²

For the prism on top, since the bottom is not included, we will use lateral surface are;. LSA = ½Pl

Where P is perimeter of base and L is slant height.

P = 5 × 4 = 20 cm

Radius is 5/2 = 2.5 and so using pythagoras theorem;

L = √(2.5² + 3²)

L = 3.905 cm

Thus;

LSA = ½ × 20 × 3.905 = 39.05 cm²

Overall surface area = 39.05 + 125 = 164.05 cm²

C) for the box down;

TSA = 2lw + 2lh + 2hw

Since the top face is not used, then

TSA = lw + 2lh + 2hw

TSA = (4 × 4) + 2(4 × 4) + 2(4 × 4)

TSA = 80 cm²

For the half cylinder on top;

Surface area ;

T.S.A = 2πrh + 2πr²

Since half cylinder;

TSA = πrh + πr²

TSA = π((2 × 4) + 2²))

TSA = 37.7 cm²

Overall total surface area = 80 + 37.7 ( 117.70 cm²

Answer: ok i did :)

Step-by-step explanation: how are you?

9514 1404 393

Answer:

  12 inches

Step-by-step explanation:

The area is given by the formula ...

  A = 1/2bh

Fill in the given values and solve for the height.

  24 in² = 1/2(4 in)h

  h = (24 in²)/(2 in) = 12 in

The height of the triangle is 12 inches.

Answer:

12 inches

Step-by-step explanation:

Area = [tex]\frac{1}{2}bh[/tex]

24 = [tex]\frac{1}{2} * 4 * h[/tex]

24 = 2h

h = 12 inches

Answer:

Step-by-step explanation:

You are given the linear regression equation as y = -.36x + 12.6, where y is the wind chill and x is the wind speed. We are being asked for the wind chill when the wind speed is 22; therefore, we are being asked to plug in 22 for x and solve for y:

y = -.36(22) + 12.6 and

y = -7.92 + 12.6 so

y = 4.68F

Answer:

x = 22/3  y = 20/9

Step-by-step explanation:

2x-3y =8 x+3y=14

Add the two equations together to eliminate y

2x-3y =8

x+3y=14

-------------

3x +0y = 22

Divide each side by 3

3x/3 = 22/3

x = 22/3

Then take the second equation and multiply by -2 and add to eliminate x

2x-3y =8

-2x-6y=-28

----------------------

  -9y = -20

Divide by -9

-9y/-9 = -20/-9

y = 20/9

x = 22/3  y = 20/9

Answer: 10

Step-by-step explanation: First, write the experimental probability as a fraction in simplest form.

P(egret)

=

egrets

total

=

7

2+7+2+3

=

7

14

=

1

2

The experimental probability is

1

2

.

We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.

1

2

=

n

20

1

2

(220)

=

n

20

(220) Multiply both sides by (220)

120

= 2n Simplify

20

= 2n Simplify

10

= n Divide both sides by 2

You would expect to see 10 egrets out of the next 20 birds.

The solution is, : 10 out of the next 20 birds Logan sees would you expect to be egrets.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

First, write the experimental probability as a fraction in simplest form.

P(egret)=egrets

total

=7

2+7+2+3=

7/14=1/2

The experimental probability is

1/2

We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.

1/2=n20

1/2

(220)=n20

(220) Multiply both sides by (220)

120 = 2n Simplify

20 = 2n Simplify

10 = n [Divide both sides by 2]

You would expect to see 10 egrets out of the next 20 birds.

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Answer:

Solution given:

12 Ouches =$7200

per Ouches =$7200/6=$600

So

the required equation for the cost of any weight of gold is:

C.

600W=C is a required equation.

Answer:

600W=C

Step-by-step explanation:

.......................

Answer:

(4.3 ; 4.5)

Step-by-step explanation:

Given :

Sample size, n = 343

Sample Mean, xbar = 4.4

Standard deviation, σ = 0.9

Zcritical at 90%

Using the relation :

Xbar ± Margin of error

Margin of Error = Zcritical * σ/√n

Margin of Error = 1.645 * (0.9/√343)

Margin of Error = 0.0799394

Lower boundary = 4.4 - 0.0799394 = 4.320

Upper boundary = 4.4 + 0.0799394 = 4.480

(4.320 ; 4.480)

It would be at (7,5)

Answer / Explaination:

An equation that represents this problem is b = 52h.

A linear model that represents this equation would look as such (see below)

To predict how many boxes would be produced after an 8 hour shift, you can look at the graph (see additional attatchement) or substitute 8 in for h in the equation.

b = 52(8)

b = 416

Answer:

length=28 cm

the area = 196 cm²

Step-by-step explanation:

length = 4 × width

2×(4w+w) = 70

2×5w=70

10w=70

w= 7 cm

length = 4×7 = 28 cm

the area = 28 ×7 = 196 cm²

Answer:

The smallest 5 digit number is 10,000 and the greatest 5 digit number is 99,999. There are 90,000 five-digit numbers in all.

Answer:

The florist sold 270 flowers.

Step-by-step explanation:

Since a florist arranged some orchid in bouquets of 20 and some roses in bouquets of 10, and she sells each bouquet of orchid for $ 25 and each rose bouquet for $ 30, and she earns $ 390, if she sell four times as many orchid bouquets as rose bouquets, to determine how many flowers does she sell all together, the following calculation must be performed:

4 x 25 + 1 x 30 = 130

8 x 25 + 2 x 30 = 260

12 x 25 + 3 x 30 = 390

12 x 20 + 3 x 10 = X

240 + 30 = X

270 = X

Therefore, the florist sold 270 flowers.

Answer:

3650

Step-by-step explanation:

Yes im doingbthis foe pointa

Answer:

x² - 5x + 4

Step-by-step explanation:

work backwards from knowing zeros to writing factors, then use foil method

(x - 1)(x - 4)

x² - 4x - 1x + 4

x² - 5x + 4

Answer:

24 gallons

Hope this helps! :)

Answer: 192

Step-by-step explanation:

So we know the hose sprays 24 gallons of water a minute. We also know that 8 pints equal a gallon. So to figure out how many pints are in one minute, we multiply 8 x 24, since we have 24 gallons a minute and 8 pints equal a gallon. This equals 192 pints a minute.

Answer:

see uploaded image

Step-by-step explanation:   5 30  10 04

x(x+3)²(x-1)(x-3)²

I attached my guess, since I don't see any graphs.  

NOTE the x axis scale change on my submission.

Only option A graph matches the features of this polynomial. Therefore, option A is the correct answer.

A polynomial is an equation with many terms whose leading term is the highest exponent known as a degree. The degree or exponent tells how many roots exist. These roots are the x-intercepts.

This polynomial has roots -3, 0, 1, and 3. This means the graph must touch or cross through the x-axis at these x-values. What determines if it crosses the x-axis or if the simple touch it and bounces back? The even or odd multiplicity - how many times the root occurs.

In this polynomial:

Root -3 has an even multiplicity of 2 so it only touches and does not cross through.

Root 0 has an odd multiplicity of 1 so crosses through.

Root 1 has an odd multiplicity of 1 so crosses through.

Root 3 has an even multiplicity of 3 so it only touches and does not cross through.

Knowing this, only the first and second graphs are possible answers.

Lastly, what determines the facing of the graph (up or down) is the leading coefficient. If positive, the graph ends point up. If negative, the graph ends and points down. All even degree graphs will have this shape.

Only option A graph matches the features of this polynomial. Therefore, option A is the correct answer.

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Answer:

The graph of g(x) is the graph of f(x) moved down 4 units.

Step-by-step explanation:

Subtracting a function by a constant:

Subtracting a function by a constant x is the same as moving the function down x units.

In this question:

[tex]f(x) = 2^x[/tex]

[tex]g(x) = 2^x - 4[/tex]

Thus, the graph of g(x) is the graph of f(x) moved down 4 units.

Answer:

Let R = cost per foot of redwood, and

let P = cost per foot of pine.

The 1st sentence gives us 60 ft * R + 90 ft * P = $303, and

the 2nd sentence gives us 90 ft * R + 60 ft * P = $357.

So this is two equations and two unknowns, so we should be able to solve these.

Solve the first equation for P: 60 ft * R + 90 ft * P = $303

Subtract 60 ft * R from both sides of the equation: 90 ft * P = $303 - 60 ft * R

Now divide both sides of the equation by 90 ft: P = ($303 - 60 ft * R) / 90 ft = $101 / 30 ft - 2/3 * R

Next, substitute P into the second equation: 90 ft * R + 60 ft * P = $357

so we then have 90 ft * R + 60 ft * [$101 / 30 ft - 2/3 * R] = $357.

Now solve for R (remember, parentheses, exponents, multiplication and division, addition and subtraction):

90 ft * R + [$202 - 40 ft * R] = 50 ft * R + $202 = $357, or 50 ft * R = $155; so R = $155 / 50 ft = $3.10 / ft.

Now we can substitute this value for R into the first equation and solve for P: 60 ft * R + 90 ft * P = $303

so we then have 60 ft * $3.10 / ft + 90 ft * P = $303, or $186 + 90 ft * P = $303.

Subtracting $186 from both sides of the equation, and then dividing by 90 ft, we have P = $1.30 / ft

So P = $1.30/ft, and R = $3.10/ft.

To check this answer, plug both into the second equation:

90 ft * R + 60 ft * P = $357

90 ft * $3.10/ft + 60 ft * $1.30/ft = $279 + $78 = $357

Answer:

11

Step-by-step explanation:

a^2 + 3b / c - 2d

put the numbers in the equation

3^2  + 3 x 8 / 2 - 2 x 5

pedmas

3^2 would be first, then 3 x 8, then that answer divided by 2, then 2 x5

9 + 12 - 10

left to right

9 + 12 = 21

21 - 10 = 11

Answer:

the correct answer is 11

+ (3x8)/2 - (2x5)

9+ - 10

9+12-10=11

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

min is 65

median is 86

quartile 1 is 77

quartile 3 is 90

max is 95

highest 25% of data resides between quartile 3 and max

Answer:

Step-by-step explanation:

P = 65.4

not sure about area Sorry