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3 years ago

1. One board is 2 2/3 feet long.How long are 6 boards of the same length?

Mathematics

2 answers:

dolphi86 [110]3 years ago

6 0

Answer:

16.02 ft.

Step-by-step explanation:

2/3 = .67

2.67 x 6 = 16.02 ft.

Yuki888 [10]3 years ago

4 0

Answer:

16.02 feet

Step-by-step explanation:

2/3 = .67

2 + 0.67 = 2.67

2.67 x 6 = 16.02

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Which of the following sets of ordered pairs represents a function?

Zinaida [17]

Shouldn't the answer be: (-1,4),(1,4),(2,4),(-2,4)

8 0

3 years ago

Read 2 more answers

A marketing executive is studying Internet habits of married men and women during the 8am – 10pm time period on weekends ("prime

jolli1 [7]

Answer: Our required probability is 0.18.

Step-by-step explanation:

Since we have given that

Probability that husband is on the internet = 10% = 0.10

Probability that husband is not on the internet = 1-0.10 = 0.9

Probability that wife is on internet given that husband is on internet = 40% = 0.40

Probability that wife is on internet given that husband is not on internet = 20% = 0.20

Probability that wife is on internet is given by

$0.1\times 0.4+0.9\times 0.2\\\\=0.04+0.18\\\\=0.22$

So, Probability that the husband is also on internet given that wife is on internet is given by

$\dfrac{P(\text{wife and husband both on internet)}}{P(wife\ on \ internet)}\\\\=\dfrac{0.4\times 0.1}{0.22}\\\\=\dfrac{0.04}{0.22}\\\\=0.18$

Hence, our required probability is 0.18.

5 0

4 years ago

Solve the inequality 3 - 5(2x + 1) 10.

inn [45]

3 - 50(2x + 1)
3 - 100x - 50
-100x + (3 - 50)
-100x - 47

7 0

3 years ago

Nick has fraction 1 over 2 cup of syrup. He uses fraction 1 over 6 cup of syrup to make a bowl of granola. How many bowls of gra

liberstina [14]

Answer:

Step-by-step explanation:

1/2 is 3 times 1/6, because 3/1 $\frac{3}{1} * \frac{1}{6} = \frac{3}{6}$ and 3/6 is the same as 1/2. Thus, he can make 3 bowls of granola.

8 0

4 years ago

2. The average score of all golfers for a particular course has a mean of 75 and a standard deviation of 4.5. Suppose we going t

stiv31 [10]

Answer:

$P(\bar X>76)$

And we can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for 76 we got:

$z =\frac{76-75}{\frac{4.5}{\sqrt{81}}}= 2$

And if we use the complement rule and the normal standard distribution or excel we got:

$P(Z>2) = 1-P(Z$

And we can find this using the ti 84 with the following code:

1-normalcdf(-1000, 76, 75, 0.5 )

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

Let X the random variable who represent the score of golfers. We select a sampel size of 81.

From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And we want to find this probability:

$P(\bar X>76)$

And we can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for 76 we got:

$z =\frac{76-75}{\frac{4.5}{\sqrt{81}}}= 2$

And if we use the complement rule and the normal standard distribution or excel we got:

$P(Z>2) = 1-P(Z$

And we can find this using the ti 84 with the following code:

1-normalcdf(-1000, 76, 75, 0.5 )

6 0

3 years ago