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STALIN [3.7K]
3 years ago
15

1. Use the distributive property to write 13y-(5x-3y)+x (can u also answer) 2. The state sales tax rate is 4.75% harold would li

ke to buy a shirt with sales price of $20.If harold buys the shirt how much would he pay for sales tax?
Mathematics
1 answer:
slava [35]3 years ago
4 0

Answer:

Step-by-step explanation:

1) The given expression is

13y-(5x-3y)+x

Applying the distributive property, we would multiply each term inside the bracket by the - 1 which is outside the bracket first. it becomes

13y - 5x + 3y + x

- 5x + x + 13y + 3y

- 4x + 16y

2) The state sales tax rate is 4.75%. If Harold buys a shirt whose sales price is $20, the amount that he would pay for sales tax is

4.75/100 × 20 = 0.0475 × 20 = $0.95

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3 years ago
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e
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Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

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n = 1537, \pi = \frac{353}{1537} = 0.2297

95% confidence level

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The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2297 - 1.96\sqrt{\frac{0.2297*0.7703}{1537}} = 0.2087

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2297 + 1.96\sqrt{\frac{0.2297*0.7703}{1537}} = 0.2507

The 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.2087, 0.2507).

7 0
3 years ago
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Umnica [9.8K]

Answer:

We  can reject the hypothesis at the 0.05 significance level.

 

Step-by-step explanation:

given that an urn contains  a very large number of marbles of four different colors: red, orange, yellow, and green. A sample of 12 marbles drawn at random from the urn revealed 2 red, 5 orange, 4 yellow, and 1 green marble.

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Expected   E         3                     3                   3          3              12

(O-E)^2/E             0.3333            5.3333        0.3333  5.3333     11.3333

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Since p < 0.05 we reject H0

We  can reject the hypothesis at the 0.05 significance level.

 

3 0
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