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3 years ago

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A swimming pool is open for 7 1/2 hours a day. The pool kepps one lifeguard at a time and each lifeguard shift is 1 1/2 hous lon

g. How many shifts are ther per day?

1 answer:

vredina [299]3 years ago

5 0

(7 1/2)/(1 1/2)=5
so there will be 5 shifts per hour.

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Assume the sample below is a perfectly random sample of students at a school. How much greater is the mean of the

igor_vitrenko [27]

Answer:

0.75

Step-by-step explanation:

The table is not well presented (See Attachment)

There are at least two approaches to this question

Method 1:

Steps

1. Calculate the mean of reported heights

Mean of reported heights = (61+68+57.5+48.5+75+65+80+68+69+63)/10

Mean of reported heights = 655/10

Mean of reported heights = 65.5

2. Calculate the mean of measured heights

Mean of measured heights = (62 + 68 + 56.5 + 47 + 72 + 65 + 78 + 67 + 69.5 + 62.5)/10

Mean of measured heights = 647.5/10

Mean of measured heights = 64.75

3. Get their difference

Difference = Mean of reported heights - Mean of measured heights

Difference = 65.5 - 64.75

Difference = 0,75

Method 2: Calculate the mean of their difference

Mean of difference = Sum of difference / Number of observations

Mean of difference = (-1 + 0 + 1 + 1.5 + 3 + 0 + 2 + 1 – 0.5 + 0.5)/10

Mean of difference = 7.5/10

Mean of difference = 0.75

Note that in both cases, the result is 0,75.

Hence, the reported heights at the school is 0.75 greater than the actual measured height

3 0

3 years ago

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A store owner uses a selling price of 125% of the cost of an item. If a pair of jeans has a sales price of $52.50, what cost doe

IgorC [24]

Answer:

The cost store owner pay for the pair of jeans is <u>$42</u>.

Step-by-step explanation:

Given:

A store owner uses a selling price of 125% of the cost of an item.

If a pair of jeans has a sales price of $52.50.

Now, to find the cost price of the store owner pay for the pair of jeans.

Let the cost price of jeans be $x.$

Sell price of jeans = $\$52.50.$

Now, to get the cost price of store owner pay for the pair of jeans:

<em>As given the</em><em> </em><em>store owner uses a selling price of 125% of the cost of an item.</em>

According to question:

$125\%\ of\ x=52.50$

$\frac{125}{100} \times x=52.50$

$1.25x=52.50$

<em>Dividing both sides by 1.25 we get:</em>

$x=42.$

<em>The cost price of jeans = $42.</em>

Therefore, the cost store owner pay for the pair of jeans is $42.

6 0

3 years ago

Find the unknown factor.<br> 0= blank x (8 x 3)

algol [13]

I think the answer is 0

8*3=24

24 *0=0

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2 years ago

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Two numbers have prime factorizations of 2 2 · 3 · 5 and 2 · 3 2 · 7.

ladessa [460]

I think for the question above, instead of 2 · 3^2 · 7 it is <span>2 · 3^2 · 5.
</span>
Two numbers have prime factorizations of 2^2 • 3 • 5 and 2 • 3^2 • 5 (note 2 squared & 3 squared).

Now, to choose the GCF, you choose, for each base factor in either number, the least exponent-ed one; so the GCF needs a factor 2, a factor 3, and a factor 5. Thus the GCF is 30 (their product). [i.e,2 squared is not a common factor]

<span>To create the LCM, you choose, for each base factor in either number, the greatest exponented one. Thus, LCM needs a factor 2 squared, 3 squared, and 5, giving LCM = 4(9)(5) = 180.</span><span />

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3 years ago

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[20 points] -x + 4 = 9

sveta [45]

Answer: x = -5

Step-by-step explanation:

-x + 4 = 9

-4 -4

-x = 5

divide by -1 on both sides

x = -5

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3 years ago

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