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iragen [17]
2 years ago
6

which shape had a larger area: a rectangle that is 7 inches by 3/4 inch, or a square with side length of 2.5 inches? Show your r

easoning.
Mathematics
1 answer:
Brums [2.3K]2 years ago
6 0
In order to find the area for a rectangle, you must multiply length times width, which would be 7 x 3/4 which is 5.25. In order to find the area for a square, you do length^2, also know as length x length. Which would be 2.5^2 which is 2.5 x 2.5 which is 6.25. 6.25 is larger than 5.25, so the square has a larger area.
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A researcher wants to estimate the mean weekly family expenditure on clothing purchases and maintenance. First, she needs to det
Blizzard [7]

Answer: C. 461

Step-by-step explanation:

We know that the formula to find the sample size is given by :-

n=(\dfrac{z^*\cdot \sigma}{E})^2

, where \sigma = Population standard deviation from prior study.

E = margin of error.

z* = Critical value.

As per given , we have

\sigma=125

E= 15

Significance level : \alpha=0.01

Critical value (Two tailed)=z^*=z_{\alpha/2}=z_{0.005}=2.576

Now , Required sample size = n=(\dfrac{(2.576)\cdot 125}{15})^2

n=(21.4666666667)^2\\\\ n=460.817777779\approx461 [Round to next integer]

Hence, the required sample size to be taken is 461.

Correct answer = C. 461

3 0
2 years ago
Which sentence can represent the inequality One-half x + three-fourths greater-than-or-equal-to 5 and one-fourth?
hodyreva [135]

Answer:

  The sum of half of a number and three-fourths is at least five and one quarter

Step-by-step explanation:

It's all about making sense of an English sentence.

  "half the sum ..." is different from "the sum of half ..."

And ...

  "at least" and "not less than" mean the same (≥)

  "not more than" and "at most" mean the same (≤)

_____

Since all of the expressions are written out in words, it is a matter of matching the ideas expressed. That's a problem in reading comprehension, not math.

__

"One-half x + three-fourths [is] greater-than-or-equal-to 5 and one-fourth"

  means the same as ...

"The sum of half of a number and three-fourths is at least five and one quarter"

6 0
2 years ago
Read 2 more answers
Shelley is self-employed in Texas and recently attended a two-day business conference in New Jersey. After Shelley attended the
MaRussiya [10]

Answer:

The amount deductible by Shelley is $2,929

Step-by-step explanation:

Using the table below as the missing information:

Airfare to New Jersey $ 2,180

Meals $238

Lodging in New Jersey $432

Rental car $198

All the above expenses are fully deductible by Shelley except the meal which is half deductible.

Half of the meal expenses is:

= 238 / 2 = $119

So the amount deductible by Shelley is:

2180 + 119 + 432 + 198

= 2929

Therefore, the amount deductible by Shelley is $2,929

7 0
2 years ago
Please help me with number 1
Dmitry [639]
Line CE
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5 0
2 years ago
Read 2 more answers
"Sarah is renting a car for her weekend trip to the mountains. The total cost of the rental, y, as it relates to the number of m
Amanda [17]
So here is the answer to the given question above. Analyzing the given figure, we can see that at 0 miles, the cost is 25. Between 0 and 40 miles, the cost rises by 10. Therefore, the function that would represent this situation would be this: <span>f(x) = (10/40)x+25
   </span><span>     f(x) = 1/4 *x+ 25
        f(x) = 0.25x + 25
Hope this is the answer that you area looking for. </span>
6 0
2 years ago
Read 2 more answers
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