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Svetlanka [38]
3 years ago
5

Cassandra spends 6.75 hours each day at school. Round the amount of time to the nearest hour.

Mathematics
2 answers:
Alja [10]3 years ago
6 0

Answer:

6.75 round to 7

Step-by-step explanation:

Fantom [35]3 years ago
5 0

Answer:

7 hours

Step-by-step explanation:

6.75 is closer to 7, because it is 0.25 from 7 and 0.75 from 6. Since 0.75>0.25, 6.75 rounds up to 7 hours a day. Hope this helps!

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What is the value of 7x2−6x when x = 4
Yanka [14]
You replace x with 4 7•4•2-6•4= 32
8 0
3 years ago
Assume that SAT scores are normally distributed with mean 1518 and standard deviation 325. Round your answers to 4 decimal place
Katyanochek1 [597]

Answer:

a. 0.2898

b. 0.0218

c. 0.1210

d. 0.1515

e. This is because the population is normally distributed.

Step-by-step explanation:

Assume that SAT scores are normally distributed with mean 1518 and standard deviation 325. Round your answers to 4 decimal places

We are using the z score formula when random samples

This is given as:

z = (x-μ)/σ/√n

where x is the raw score

μ is the population mean

σ is the population standard deviation.

n is the random number of samples

a.If 100 SAT scores are randomly selected, find the probability that they have a mean less than 1500.

For x = 1500, n = 100

z = 1500 - 1518/325/√100

z = -18/325/10

z = -18/32.5

z = -0.55385

Probability value from Z-Table:

P(x<1500) = 0.28984

Approximately = 0.2898

b. If 64 SAT scores are randomly selected, find the probability that they have a mean greater than 1600

For x = 1600, n = 64

= z = 1600 - 1518/325/√64.

z= 1600 - 1518 /325/8

z = 2.01846

Probability value from Z-Table:

P(x<1600) = 0.97823

P(x>1600) = 1 - P(x<1600) = 0.021772

Approximately = 0.0218

c. If 25 SAT scores are randomly selected, find the probability that they have a mean between 1550 and 1575

For x = 1550, n = 25

z = 1550 - 1518/325/√25

z = 1550 - 1518/325/5

z = 1550 - 1518/65

= 0.49231

Probability value from Z-Table:

P(x = 1550) = 0.68875

For x = 1575 , n = 25

z = 1575 - 1518/325/√25

z = 1575 - 1518/325/5

z = 1575 - 1518/65

z = 0.87692

Probability value from Z-Table:

P(x=1575) = 0.80974

The probability that they have a mean between 1550 and 1575

P(x = 1575) - P(x = 1550)

= 0.80974 - 0.68875

= 0.12099

Approximately = 0.1210

d. If 16 SAT scores are randomly selected, find the probability that they have a mean between 1440 and 1480

For x = 1440, n = 16

z = 1440 - 1518/325/√16

= -0.96

Probability value from Z-Table:

P(x = 1440) = 0.16853

For x = 1480, n = 16

z = 1480 - 1518/325/√16

=-0.46769

Probability value from Z-Table:

P(x = 1480) = 0.32

The probability that they have a mean between 1440 and 1480

P(x = 1480) - P(x = 1440)

= 0.32 - 0.16853

= 0.15147

Approximately = 0.1515

e. In part c and part d, why can the central limit theorem be used even though the sample size does not exceed 30?

The central theorem can be used even though the sample size does not exceed 30 because the population is normally distributed.

6 0
3 years ago
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irakobra [83]

Answer:

r is the common ratio (in geometric sequence)

d is the common difference (in arithmetic sequence)

n is the term number

a1 is the value of the first term

an is the value of the nth term

Step-by-step explanation:

arithmetic sequence formula:

an=a1+d(n-1)

geometric sequence formula:

an=a1•(r)^(n-1)

8 0
3 years ago
Write three measurments using grams and three measurements using milligrams total 15.4 grams
luda_lava [24]
2+3+10 g +1+1+2mg =15.4 grams
5 0
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a company declared a dividend of $1.50 per share. john has 600 shares in the company. how much will she get?​
Harman [31]

Answer:

$900

Step-by-step explanation:

So if each individual share is $1.50 we can presume that we need to multiply both factors. 1 x 600 is 600 and .50 x 600 is 300. 600 + 300 = 900. John will get $900 in shares profit.

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3 years ago
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