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3 years ago

Two added to three times a number m is the same as 18

Mathematics

2 answers:

vampirchik [111]3 years ago

8 0

2 + 3m = 18

3m = 16

m = 5.333333 ≈ 5.3

Minchanka [31]3 years ago

5 0

The correct answer is 5.3

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According to a certain central bank from 2000 to 2016 the average price of a new home in a certain region increased by 62 % to $

Alla [95]

Answer: $ 290 thousand

Step-by-step explanation:

Given : According to a certain central bank from 2000 to 2016 the average price of a new home in a certain region increased by 62 % to $470 thousand.

Let X be the the average price of a new home in 2000 .

Then , the 62 % increase in price is given by :-

$x+0.62(x)=x(1+0.62)=1.62x$

Since , the the average price of the home in 2016 = $470 thosand

$1.62x=470\\\\\Rightarrow\ x=\dfrac{470}{1.62}=290.12345679\approx290$

Hence, the average price of a new home in 2000 = $ 290 thousand .

3 0

3 years ago

If 7 people ride a roller coaster 5 times and it is $3 per person pre ride what is the total price they paid for the rides

koban [17]

If 7 people paid $3 per ride and road 5 times, it would be $21 dollars. You could do it 3×5=15+7=21

5 0

3 years ago

Alex purchased a new car for $28,000. The car's value depreciates 7.25% each year. What will be the value of the car 5 years aft

Anestetic [448]

A = 28000(0.9275)^5

a = 19219

$19,219 is the answer

Hoped this helped

8 0

3 years ago

The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp

motikmotik

Answer:

The 95% confidence interval for the population mean rating is (5.73, 6.95).

Step-by-step explanation:

We start by calculating the mean and standard deviation of the sample:

$M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{50}(6+4+6+. . .+6)\\\\\\M=\dfrac{317}{50}\\\\\\M=6.34\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{49}((6-6.34)^2+(4-6.34)^2+(6-6.34)^2+. . . +(6-6.34)^2)}\\\\\\s=\sqrt{\dfrac{229.22}{49}}\\\\\\s=\sqrt{4.68}=2.16\\\\\\$

We have to calculate a 95% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=6.34.

The sample size is N=50.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

$s_M=\dfrac{s}{\sqrt{N}}=\dfrac{2.16}{\sqrt{50}}=\dfrac{2.16}{7.071}=0.305$

The degrees of freedom for this sample size are:

$df=n-1=50-1=49$

The t-value for a 95% confidence interval and 49 degrees of freedom is t=2.01.

The margin of error (MOE) can be calculated as:

$MOE=t\cdot s_M=2.01 \cdot 0.305=0.61$

Then, the lower and upper bounds of the confidence interval are:

$LL=M-t \cdot s_M = 6.34-0.61=5.73\\\\UL=M+t \cdot s_M = 6.34+0.61=6.95$

The 95% confidence interval for the mean is (5.73, 6.95).

4 0

3 years ago

A cube has sides of length 2 meters. Explain what happens to the volume of the cube if the length of the sides is doubled.

ohaa [14]

Volume of a cube with side lengths of 2, 2, and 2.
2³=8 m³

Volume of a cube with 4,4, and 4
4³=64 m³

Conclusion: The volume would be squared, or square rooted, depending on which way you are going.

5 0

3 years ago

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