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LiRa [457]
3 years ago
5

Mr. Dewalt suggested contacting a travel agent to see whether they could get a lower price. The agent found

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
7 0
Finding a price that is 30% lower than $2075 is the same as finding a price that is 70% of $2075.

That means all we need to do is calculate what is 70% of $2075.

Convert 70% into decimal form which is 0.70.

Next, multiply $2075 by 0.70.

$2075*0.70 = $1452.50

The price the travel agent found was $1452.50

Note: If you don't know how to multiply by decimals you can multiply $2075 by 7 than divide the result by 10 (move the decimal point one place to the left).


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"a pollster wishes to estimate the number of left-handed scientists. how large of a sample is needed in order to be 98% confiden
nadezda [96]
The sample size should be 250.

Our margin of error is 4%, or 0.04.  We use the formula

\text{ME}=z\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}

To find the z-score:
Convert 98% to a decimal:  0.98
Subtract from 1:  1-0.98 = 0.02
Divide both sides by 2:  0.02/2 = 0.01
Subtract from 1:  1-0.01 = 0.99

Using a z-table (http://www.z-table.com) we see that this value has a z-score of approximately 2.33.  Using this, our margin of error and our proportion, we have:

0.04=2.33\sqrt{\frac{0.08(1-0.08)}{n}}
\\
\\0.04=2.33\sqrt{\frac{0.08(0.92)}{n}}

Divide both sides by 2.33:
\frac{0.04}{2.33}=\sqrt{\frac{0.08(0.92)}{n}}

Square both sides:
(\frac{0.04}{2.33})^2=\frac{0.08(0.92)}{n}

Multiply both sides by n:
(\frac{0.04}{2.33})^2n=0.08(0.92)

Divide both sides to isolate n:
\frac{0.08(0.92)}{(\frac{0.04}{2.33})^2}=n
\\
\\249.73=n
\\n\approx 250
4 0
3 years ago
1) x+30 = 40
soldier1979 [14.2K]

1)x+30=40

x=40-30

Answer :x=10

2)30-20+2x=10

10+2x=10

2x=0

Answer: x=0

3)3x-10+13=-2x+28

3x+3=-2x+28

3x+2x+3=28

3x+2x=28-3

5x=28-3

5x=25

x=5

4)13x-23-45=-7x+12

13x-68=-7x+12

13x+7x-68=12

13x+7x=12+68

20x=12+68

20x=80

x=4

5)2(x+4)=10x+24

2x+8=10x+24

2x-10x+8=24

2x-10x=24-8

-8x=24-8

-8x=16

x=-2

6)3(x-5)=1-(2x-4)

3x-15=1-(2x-4)

3x-15=1-2x+4

3x-15=5-2x

3x+2x-15=5

3x+2x=5+15

5x=5+15

5x=20

x=4

7)5x-10=15

5x=15+10

5x=25

x=5

8)x+4=x+6

4=6

no solution

PLEASE MARK ME AS BRAINLIEST

4 0
3 years ago
I need with this math
Darya [45]
In the first number, 2 is in the thousand's place, it means two thousand.
in the second number, 2 is in the hundred's place. It means two hundred. 
7 0
3 years ago
What are the domain and range of the function of the graph
alexira [117]
The domain is the x intercept and the y intercept is the range
8 0
3 years ago
Read 2 more answers
Lines that appear to be tangent are tangent. Find the value of each variable.
galina1969 [7]

Tangent secant theorem which in this case says

6² = x (x + x) = 2x²

36 =  2x²

18 = x²

x = 3√2

Answer: x = 3√2

4 0
3 years ago
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