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3 years ago

10

jan spent the day at the mall. she came home with $8.25.she spent $6.25 on earrings and 4 times that amount on a shirt how much

money did she take to the mall originaly

1 answer:

docker41 [41]3 years ago

4 0

6.25 * 4 = $25

25 + 6.25 is 31.25

31.25 plus 8.25 = 37.50

ANSWER : $37.50

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write the equation of the line that passes through the given points expressed in slope-intercept form. m=2/3, (-4,5)

solniwko [45]

Answer:

$y = \frac{2}{3}x + \frac{23}{3}$

Step-by-step explanation:

To write the equation of a line with a point and a slope, use the point-slope form of a linear equation. Substitute m = 2/3 and the point (-4,5) into the equation.

$y - y_1 = m(x-x_1)\\y - 5 = \frac{2}{3}(x --4)\\y - 5 = \frac{2}{3}(x+4)$

Convert to slope intercept form by using the distributive property.

$y - 5 = \frac{2}{3}(x+4)\\y - 5 = \frac{2}{3}x +\frac{8}{3}\\y = \frac{2}{3}x + \frac{8}{3} + 5\\y = \frac{2}{3}x + \frac{23}{3}$

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3 years ago

What is the median of the following numbers? 10, 6, 4, 4, 6, 4, 110,6,4,4,6,4,1

tatiyna

Answer:

The median is 4

Step-by-step explanation:

1) You order the numbers in order from smallest to largest: 1, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 10, 110

2) Next, you just cross out each number from each side. For example, if you cross out 1 at the beginning, you cross out the 110 at the end and if you cross out the 4 (right after the 1) then you cross out 10 which is the next number in line to the end. You carry on like that until you're left with a lone value in the middle

3) That lone value is now your median.

However, if you end up with two values in the middle, you would add them both together and then divide by 2 to get your median.

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3 years ago

Louisa ran at an average speed of five miles per hour along an entire circular park path. Calvin ran along the same path in the

docker41 [41]

Answer:

15 miles

Step-by-step explanation:

Let $x$ be the miles in the circular park path, $t_{L}$ the time Louisa takes to finish and $t_{C}$ the time Calvin takes to finish both in hours.

Then $x$ , the longitude is equal to the velocity times the time used to finish. So

$x=5t_{L}$

$x=6t_{C}$

And the difference between Louisa's time and Calvin' time is 30 minutes, half an hour. So:

$t_{C}=t_{L}-0.5$

Three equations, three unknowns, the system can be solved.

Equalizing the equation with x :

$5t_{L}=6t_{C}$

In this last equation replace $t_{C}$ with the other equation and solve:

$5t_{L}=6(t_{L}-0.5)\\ 5t_{L}=6t_{L}-3\\ 3=6t_{L}-5t_{L}\\ 3=t_{L}\\ t_{L}=3$

With Louisa's time find x:

$x=5t_{L}\\ x=5(3)\\ x=15$

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The answer is 3 x 10^-6

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At the local college, a study found that students earned an average of 14.8 credit hours per semester. A sample of 94 students w

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Answer:

By the Central Limit Theorem, the best point estimate for the average number of credit hours per semester for all students at the local college is 14.8.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of the sample:

14.8 credit hours per semester.

So

By the Central Limit Theorem, the best point estimate for the average number of credit hours per semester for all students at the local college is 14.8.

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