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zhuklara [117]
3 years ago
8

5. Find the value that makes each statement true. 2*? = 2 -2*? = -2 2 *? = 1 -2*?=1

Mathematics
1 answer:
aleksley [76]3 years ago
8 0

Answer:

The total number of seconds in a year is 32,000,000 when rounded to the nearest million. It is 31,500,000 when rounded to the nearest hundred thousand.

Step-by-step explanation:

Which could be the total number of seconds in a year?

A.

31,092,000 seconds

B.

31,476,000 seconds

C.

31,536,000 seconds

D.

31,592,000 seconds

2. A television network counted 1,771,548 viewers watching the golf tournament on its channel. There were 5,861,014 viewers watching a football game on another channel.

Round each number to the nearest hundred thousand.

About how many viewers were watching the two events on television?

A.

7,500,000

B.

7,600,000

C.

7,700,000

D.

8,000,000

3. The longest bridge in the world is located in China. It is164,800 meters long. Another bridge in China is 69,732 meters long.

Round each length to the nearest ten thousand to find the answer.

What is the approximate difference between the lengths of the two bridges?

4. Amber is solving this problem.

252

× 605

What are the partial products Amber will need to solve the problem?

A.

1,260 and 151,200

B.

1,260 and 1,512

C.

1,260 and 15,120

D.

1,260 and 2,520 and 151,200

5. A rectangular garden with a width of 42 feet has an area of 2,814 square feet.

What is the length of the garden?

6. Which number sentences show how to solve the problem?

Sasha’s family donated 12 boxes of canned vegetables to the food pantry. There are 24 cans in each box. Three boxes are filled with canned peas; the rest are filled with canned corn. How many cans of corn did Sasha’s family donate to the food pantry?

Choose all answers that are correct.

A.

12 – 3 = 9 and 9 × 12 = 108

B.

12 – 3 = 9 and 9 × 24 = 216

C.

3 × 24 = 72 and 3 × 12 = 36 36 + 72 = 108

D.

12 × 24 = 288, 3 × 24 = 72, and 288 – 72 = 216

7. There are 15 rows of diamond rings in a case in the jewelry store. There are 24 rings in each row. Another case has 12 rows of rings with a variety of colored stones and has 18 rings in each row.

How many more diamond rings than rings with colored stones are in the jewelry store?

8. The florist has 195 carnations and 127 daisies. She uses them to make 14 bouquets. Each bouquet has the same number of flowers.

How many flowers are in each bouquet?

9. Which statements are true about the value of the digits in the number 5,555,555?

Choose all answers that are correct.

A.

The digit in the thousands place is 1/5 the value of the digit in the ten thousands place.

B.

The digit in the hundred thousands place is 1/10 the value of the digit in the millions place.

C.

The digit in the ten thousands place is 10 times the value of the digit in the thousands place.

D.

The digit in the hundreds place is 50 times the value of the digit in the tens place.

10. Carlos says there are a total of 6,000 hundreds in the number 6,000,000.

Is Carlos correct?

A.

Yes, Carlos is correct.

B.

No, Carlos is not correct. There are exactly 600 hundred thousands in 6,000,000.

C.

No, Carlos is not correct. There are exactly 600 thousands in 6,000,000.

D.

No, Carlos is not correct. There are exactly 6,000 thousands in 6,000,000.

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Suppose that scores on an aptitude test are normally distributed with a mean of 100 and a standard deviation of 4.6. Scores on a
DerKrebs [107]

Answer:

<u>The correct answer is C. Felix's z-score on the aptitude test was 1.30. His z-score on the knowledge test was 2.08. Felix performed better on the knowledge test, comparatively.</u>

Step-by-step explanation:

1. Let's check all the information given to us to answer the question correctly:

Mean of the scores on the aptitude test = 100

Standard deviation of the aptitude test = 4.6

Felix's score on the aptitude test = 106

Mean of the scores on the knowledge test = 70

Standard deviation of the knowledge test = 2.4

Felix's score on the knowledge test = 75

2. Which statement best describes Felix's scores on the two tests comparatively?

Let's recall that z-score in a normal distribution, positive or negative, is the number of times of the standard deviation a certain element is from the mean. If the element is below the mean, then the z-score is negative and if it's above the mean, then the z-score is positive.

Therefore, a score of 106 on the aptitude test, will have the following z-score:

106 - 100 = 6 and it's above the mean.

Now, we calculate the z-score, using the value of the standard deviation this way:

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A score of 75 on the knowledge test, will have the following z-score:

75 - 70 = 5 and it's above the mean.

Now, we calculate the z-score, using the value of the standard deviation this way:

5/2.4 = 2.08

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