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2 years ago

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Emma earns $6 each time she mows the lawn and $8 per hour for babysitting. She is saving up to buy a new pair of jeans that cost

$48. If she mows the lawn x times and babysits for y hours, which graph shows the amount of work she needs to complete to earn at least enough to purchase the new jeans?
Image for option 1

Image for option 2

Image for option 3

1 answer:

m_a_m_a [10]2 years ago

3 0

Image for option 2 because the picture indent of a lot

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What is the distance, to the nearest whole number, from K (5, 6) to P (1, 1)?

Elza [17]

Answer:

<h3>The answer is 6 units</h3>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

K (5, 6) P (1, 1)

The distance from K to P is

$|KP| = \sqrt{ ({5 - 1})^{2} + ({6 - 1})^{2} } \\ = \sqrt{ {4}^{2} + {5}^{2} } \\ = \sqrt{16 + 25} \\ = \sqrt{41} \\ = 6.403124$

We have the final answer as

<h3>6 units to the nearest whole number</h3>

Hope this helps you

5 0

2 years ago

A random sample of 28 statistics tutorials was selected from the past 5 years and the percentage of students absent from each on

Zielflug [23.3K]

Answer:

The 90% confidence interval using Student's t-distribution is (9.22, 11.61).

Step-by-step explanation:

Since we know the sample is not big enough to use a z-distribution, we use student's t-distribution instead.

The formula to calculate the confidence interval is given by:

$\bar{x}\pm t_{n-1} \times s/\sqrt{n}$

Where:

$\bar{x}$ is the sample's mean,

$t_{n-1}$ is t-score with n-1 degrees of freedom,

$s$ is the standard error,

$n$ is the sample's size.

This part of the equation is called margin of error:

$s/\sqrt{n}$

We know that:

$n=28$

$\bar{x}=10.41$

degrees of freedom $= 27$

$1-\alpha = 0.90 \Rightarrow \alpha = 0.10$

$t_{n-1} = 1.703$

$s = 3.71$

Replacing in the formula with the corresponding values we obtain the confidence interval:

$\bar{x}\pm t_{n-1} \times s/\sqrt{n} = 10.41 \pm 1.70 \times 3.71/\sqrt{28} = (9.22, 11.61)$

8 0

2 years ago

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A force of 500.0 is represented graphically with its tail at the origin and the tip pointed in a direction 30.0° above the posit

trapecia [35]

Answer:

$F^{'}=(250\sqrt{3},250 })$

Step-by-step explanation:

We have F´ =500 and $\alpha$ =30º, so x and y components:

F´ = $(F_{x} , F_{y})$ this is

$F_{x} = F^{'} *Cos\alpha$

$F_{y} = F^{'} *Sin\alpha$

$F_{x} = F`*Cos\alpha =500*Cos30=500*\frac{\sqrt{3} }{2} =250\sqrt{3}$

$F_{y}=F*Sin\alpha =500*Sin30=500*\frac{1}{2}=250$ ;

Finally

F' = $(250\sqrt{3} , 250)$

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2 years ago

You decide to make milk a loss leader. You drop the price from its cost of $2.59 per gallon to $1.99 per gallon. What is the per

Veseljchak [2.6K]

Answer:

<u>The percentage loss per gallon is 23.17%</u>

Step-by-step explanation:

Original price per gallon = $ 2.59

Discounted price per gallon = $ 1.99

Now, let's calculate the percentage loss per gallon, using the Direct Rule of Three, as follows:

Price Percentage

2.59 100

1.99 x

*****************************

2.59 * x = 1.99 * 100

2.59x = 199

x = 199/2.59

x = 76.83

Percentage loss = 100 - 76.83

<u>Percentage loss = 23.17%</u>

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2 years ago

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A group of customer service surveys were sent out at random. The scores were 90, 50, 70, 80, 70, 60, 20, 30, 80, 90, and 20. Fin

egoroff_w [7]

Answer:

60

Step-by-step explanation:

To find the mean, add all numbers together and divide by the amount of numbers.

Total of number = 660

Number of numbers = 11

660/11 = 60

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2 years ago

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