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3 years ago

Please due today by 10:00

Mathematics

2 answers:

kobusy [5.1K]3 years ago

8 0

What do you need help with?

Aliun [14]3 years ago

6 0

C. $\frac{6}{5} = 1 \ \frac{1}{5} \: or \: 1 \ \frac{3}{3} \\$
d. $1 \ \frac{1}{4} = \frac{5}{4} \\$

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QUESTION 2

aev [14]

The margin of error for a 95% confidence interval is 0.93.

mean (μ) = 23.4, standard deviation (σ) = 7.6, sample (n) = 254, confidence = 95% = 0.95

α = 1 - C = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

The z score of α/2 is equal to the z score of 0.475 (0.5 - 0.025) which is equal to 1.96.

The margin of error (E) is given by:

$E=z_\frac{\alpha}{2} *\frac{\sigma}{\sqrt{n} } \\\\E=1.96*\frac{7.6}{\sqrt{254} } \\\\E=0.93$

The margin of error for a 95% confidence interval is 0.93.

Find out more at: brainly.com/question/10501147

4 0

3 years ago

Oprah makes $159.00 per day plus an additional 6% commission on her sales. Which equation could be used to find how much Oprah m

Alexeev081 [22]

Answer: A

Why: She gets a base $159 each day, plus 6% (0.06) of each sale, x. 0.06x+159=her pay

8 0

3 years ago

Please help! <br>13.14 ÷ 0.6

LuckyWell [14K]

21.9 is the answer so I hope you get it right

7 0

3 years ago

Read 2 more answers

How do I solve this

xz_007 [3.2K]

Let, the number of books I can buy = x

Selling price for 1 book = $5.99

So, selling price for x books = $(5.99x)

Given 7.5% is the sales tax.

To find sales tax we have to find 7.5% of $(5.99x)

7.5% of $(5.99x) = (5.99x) × 7.5/100 = (5.99x) × (0.075) = (0.44925x)

So the amount of sales tax = $(0.44925x)

The total cost for buying books including sales tax

= $(5.99x) + $(0.44925x)

=$(6.43925x)

Now given, the shipping cost is 10% of the price.

So to find the shipping cost we have to find 10% of $(6.43925x)

10% of $(6.43925x) = (6.43925x) × (10/100) = (6.43925x) ×(0.1) = (0.643925x)

Shipping charge = $(0.643925x)

So the total cost including shipping charge

= $(6.43925x) + $(0.643925x)

= $(7.083175x)

Now given, there is $50 to spend on books. So to find the number of books we can equate them.

7.083175x = 50

To get x, we have to divide both sides by 7.083175

(7.083175x)/7.083175 = 50/7.083175

x = 7.05898

As we are finding the number of books, so we will take the nearest whole number. Here the nearest whole number is 7.

So the required answer is 7 books.

3 0

4 years ago

Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the fiv

Dahasolnce [82]

Answer and Explanation:

Given : Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder.

To find :

a. Does the table show a probability distribution?

b. Find the mean and standard deviation of the random variable x.

Solution :

a) To determine that table shows a probability distribution we add up all six probabilities if the sum is 1 then it is a valid distribution.

$\sum P(X)=0.029+0.147+0.324+0.324+0.147+0.029$

$\sum P(X)=1$

Yes it is a probability distribution.

b) First we create the table as per requirements,

x P(x) xP(x) x² x²P(x)

0 0.029 0 0 0

1 0.147 0.147 1 0.147

2 0.324 0.648 4 1.296

3 0.324 0.972 9 2.916

4 0.147 0.588 16 2.352

5 0.029 0.145 25 0.725

∑P(x)=1 ∑xP(x)=2.5 ∑x²P(x)=7.436

The mean of the random variable is

$\mu=\sum xP(x)=2.5$

The standard deviation of the random sample is

$Variance=\sigma^2$

$\sigma^2=\sum x^2P(x)-\mu^2$

$\sigma^2=7.436-(2.5)^2$

$\sigma^2=7.436-6.25$

$\sigma^2=1.186$

$\sigma=\sqrt{1.186}$

$\sigma=1.08$

Therefore, The mean is 2.5 and the standard deviation is 1.08.

5 0

3 years ago