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White raven [17]

2 years ago

14

Jerry is trying to earn $209 for some new video games. If he charges $47 to mow a lawn, how many lawns will he need to mow to ea

rn the money. (please show your work)

1 answer:

Helen [10]2 years ago

6 0

At least 5. because 47x4=188 which isn’t enough money, and 47x5=235, which goes over but you have to have more money than less money

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James wants to build a wooden planter box for his garden with a volume of 100 cubic feet. If he constructed the planter with a h

EastWind [94]

Answer:

The length of the box is 10 feet.

Step-by-step explanation:

You have to work backwards to find volume, so just divide the volume (100) by the height (2) then divide that by the width (5) and you get your answer, 10

7 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

Determine the quotient

nexus9112 [7]

Answer:

option 2: $\large \frac{10}{12}$

Step-by-step explanation:

when dividing fractions, you can actually multiply them together by the reciprocal of the second one. (reciprocal is just flipping the fraction)

so, $\frac{2}{3}$ ÷ $\frac{4}{5}$

becomes $\frac{2}{3} * \frac{5}{4}$

to multiply fractions together, just multiply the top and bottom.

2 * 5 = 10

3 * 4 = 12

so the answer would be $\frac{10}{12}$

8 0

2 years ago

The expression (x^22) (x^7)^3 is equivalent to x^p. What is the value of p?

SpyIntel [72]

Answer:

x^87

Step-by-step explanation:

Multiplying x^22 and x^7 results in x^29.

Then we have:

(x^29)^3 = x^87

Recall that (a^b)^c = a^(bc) and that a^b*a^c = a^(b + c)

5 0

2 years ago

Five less than three times a number

Radda [10]

That would turn into 3x-5

4 0

2 years ago