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vekshin1
3 years ago
13

Sidney has 4 hats and 2 scarves in a drawer. All the hats are the same size, shape, and material. Both scarves are the same size

, shape, and material. The table below shows the colors of Sydney's hats and scarves. Sidney will pick one hat and one scarf from the drawer without looking. What is the probability that Sidney will be a blue hat and a white scarf?
Mathematics
2 answers:
zhenek [66]3 years ago
4 0
25 percent and 50 percent
Ainat [17]3 years ago
4 0

Answer:

It will be 1/4 (25%) and 1/2 (50%) if you do them separate. If you do the probability together, the answer will be 1/8 (12.5%)

Step-by-step explanation:

If she has 4 hats, there is a 1/4 (25%) probability that she will pick a blue hat. If she has 2 scarfs, there is a 1/2 (50%) probability that she will pick a white scarf. If you want to find the probability for the whole thing, then you will multiply 1/4 (25%) by 1/2 (50%).

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A regression analysis of 117 homes for sale produced the following model, where price is in thousands of dollars and size in squ
Vsevolod [243]

Answer:

A) m = 0.062

B) 202.87 thousand dollars

C) Original price = 116.07 thousand dollars. $6000 is called the error term.                                            

Step-by-step explanation:

We are given the following in the question:

Price = 47.87+0.062(size)

The above equation is regression equation where price is in thousand dollars and size in square feet.

Let p be the prize and s be the size.

p(s) = 47.87 + 0.062s

Comparing it to linear equation, we have,

y= mx + c

where m is the slope and c is the y-intercept.

m = 0.062

c = 47.87

A) slope of the line

The slope of line tells the rate of change. Thus, it tells the change in price if the size of house is increased by 1 square feet.

The price of house increases by 0.062 thousand dollars if the size of house is increased by 1 square feet.

B) Price of house

We are given s = 2500. Putting this value in the equation.

p(2500) = 47.87 + 0.062(2500) =202.87

Thus, the price of a 2500 square feet house is 202.87 thousand dollars.

C) We are given s = 1100

Putting the value in the equation:

p(1100) = 47.87 + 0.062(1100) =116.07

Original price = 116.07 thousand dollars

Asking price =

116.07 - 6 = 110.07

The buyer is asking for 110.07 thousand dollars.

$6000 is called the error term.

3 0
3 years ago
Determine the range of the following graph:
sergeinik [125]

Answer:

-7 < y < 2 (Line under <) is the answer

6 0
2 years ago
20.) A=49.23 degrees, c=54.8Solve the right triangle. Express angles in decimal degrees.
vivado [14]

\begin{gathered} a=41.50 \\ b=35.78 \\ B=40.76\text{ \degree} \\  \end{gathered}

Explanation

Step 1

a) let

\begin{gathered} A=49.23\text{ \degree} \\ c=54.8\text{ \degree} \end{gathered}

b) b value

to find the measure of side b we can use cosine function

\begin{gathered} cos\theta=\frac{adjacent\text{ side}}{hypotenuse} \\ replace \\ cos\text{ 49.23=}\frac{b}{54.8} \\ b=54.8*cos49.23 \\ b=35.78 \end{gathered}

c) angle B

to find the measure of Angle B we can use sine function

\begin{gathered} sin\theta=\frac{opposite\text{  side}}{hypotenuse} \\ replace \\ sin\text{ B=}\frac{35.78}{54.8} \\ sin\text{ B= 0.65}\Rightarrow inverse\text{ function to isolate B} \\ B=\sin^{-1}(0.65) \\ B=40.76 \end{gathered}

d) side a

\begin{gathered} sin\theta=\frac{opposite\text{ side}}{hypotenuse} \\ sin\text{ A=}\frac{a}{c}=\frac{\placeholder{⬚}}{\placeholder{⬚}} \\ sin\text{ 49.23=}\frac{a}{54.8} \\ multiply\text{ both sides by 54.8} \\ 54.8s\imaginaryI n\text{49.23=}\frac{a}{54.8}*54.8 \\ 41.50=a \end{gathered}

so, the answer is

\begin{gathered} a=41.50 \\ b=35.78 \\ B=40.76\text{ \degree} \\  \end{gathered}

I hope this helps you

7 0
1 year ago
Write and solve a proportion to answer the question.
insens350 [35]

Answer:

  48%

Step-by-step explanation:

   \dfrac{12}{25}=\dfrac{p}{100}\\\\100\cdot\dfrac{12}{25}=p\\\\48=p

12 is 48% of 25.

4 0
3 years ago
Each nickel is $0.05. Write and solve an equation to determine the total number of nickels needed to make $2.25
Alexeev081 [22]

Answer:

you need 45 nickels

Step-by-step explanation:

5 0
3 years ago
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