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Elena-2011 [213]

3 years ago

15

Janets family wants to save for a four year college education for her. After some research they estimate that the total will cos

t about $78,000 how much should her family save if she is 12 years old in plans to go to college in 6 years?

1 answer:

svetlana [45]3 years ago

6 0

Answer:

$468,000 by that time that how much the family has to save

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Use the triangle at the right. find the length of the missing side

mario62 [17]

3.0 NOT SURE IF ITS CORRECT

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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).

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4 years ago

Given that Triangle ABC ~ DEF, solve for X.

Vadim26 [7]

Answer:

x = 7

Step-by-step explanation:

if ABC ~ DEF than AB ~ ED, AC ~ DF, and CB ~ FE

The ratio of AB to ED is given as 5/30 = 1/6

For AC ~ ED the ratio would be same x/42 = 1/6 cross multiply it

6x = 42

x = 7

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3 years ago

PLEASE HELP!! I don't understand this at all

Reil [10]

The measure of angle 3 is 150 degrees

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3 years ago

Solve the system of linear equations.<br> 15x - 5y = -20<br> -3x + y = 4

disa [49]

Answer:

Infinite solutions.

Step-by-step explanation:

Use the elimination method:

15x - 5y = -20

-3x + y = 4 Multiply this equation by 5:

-15x + 5y = 20 Now add this to the first equation:

0 = 0

So the 2 equations are the same and there are infinite solutions.

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4 years ago