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2 years ago

Select the locations on the number line to plot the points 10/2 and −9/2 .

Mathematics

2 answers:

tresset_1 [31]2 years ago

4 0

Answer:

5 and -4.5

Step-by-step explanation:

10/2=5

and -9/2=-4.5

-5 -4.5 -4 -3 -2 -1 0 1 2 3 4 5

Lisa [10]2 years ago

4 0

Answer:

The number line is in the attached picture.

Step-by-step explanation:

We have the points 10/2 and −9/2.

The point 10/2 can be expressed as:

$\frac{10}{2} =5$

The point -9/2 can be expressed as:

$- \frac{9}{2}= - \frac{8+1}{2}= -(\frac{8}{2} + \frac{1}{2})= -(4 + \frac{1}{2} )=-4\frac{1}{2}$

So for the first point we have to count 5 places from zero to the right.

For the second point, we have to count 4 places and a half from zero to the left.

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Rachael ordered early learning software for her daughter from an online retailer. Each item costs $6.50, and there is a shipping

natta225 [31]

Answer:

Step-by-step explanation:

(a)

Total cost = (7 items * Cost per item) + Shipping fee = 7*6.5 + 8.5 = $54

(b)

Modelling the above equation with symbols:

c = s*6.5 + 8.5 = 6.5s + 8.5

(c)

For a total cost of 80$, c = 80:

80 = 6.5s + 8.5

Calculating, we get:

s = 11 items

Rachel ordered a total of 11 items

4 0

2 years ago

Read 2 more answers

A doctor recommends a two-step process to treat a rare form of pancreatic cancer. The first method is successful 80% of the time

Rudiy27

Answer:

The answer is 15%.

Step-by-step explanation:

The probability that:

Both treatments are successful:

80% x 90% = 72%

The first method is a success, but the second one is not:

80% x (1 - 90%) = 8%

The first method is not successful, but the second one is:

(1 - 80%) x 25% = 5%

Both treatments are unsuccessful:

1 - (72% + 8% + 5%) = 15%

5 0

2 years ago

6.In a sample of 131 women with cosmetic dermatitis from using eye shadow, 12 were diagnosed with a nickel allergy. In a sample

aivan3 [116]

Answer:

a) $0.0916 - 1.96\sqrt{\frac{0.0916(1-0.0916)}{131}}=0.0422$

$0.0916 + 1.96\sqrt{\frac{0.0916(1-0.0916)}{131}}=0.1410$

So then we can conclude that the true proportion of women with cosmetic dermatitis from using eye shadow at 95% of confidence is between (0.0422 and 0.1410)

b) $\hat p = \frac{25}{250}= 0.1$

$0.1 - 1.96\sqrt{\frac{0.1(1-0.1)}{250}}=0.0628$

$0.1 + 1.96\sqrt{\frac{0.1(1-0.1)}{250}}=0.1372$

So then we can conclude that the true proportion of women with cosmetic dermatitis from using mascara at 95% of confidence is between (0.0628 and 0.1372)

c) For this case we see that both confidence intervals contains the value of 0.12 so then we can't conclude that only one group is referenced at the significance level of 0.05 used.

Step-by-step explanation:

Part a

The estimated proportion of women with cosmetic dermatitis from using eye shadow is given by:

$\hat p =\frac{12}{131}= 0.0916$

The confidence interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the proportion is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

Replacing we got:

$0.0916 - 1.96\sqrt{\frac{0.0916(1-0.0916)}{131}}=0.0422$

$0.0916 + 1.96\sqrt{\frac{0.0916(1-0.0916)}{131}}=0.1410$

So then we can conclude that the true proportion of women with cosmetic dermatitis from using eye shadow at 95% of confidence is between (0.0422 and 0.1410)

Part b: A 95% confidence interval for the women with cosmetic dermatitis from using mascara

$\hat p = \frac{25}{250}= 0.1$

$0.1 - 1.96\sqrt{\frac{0.1(1-0.1)}{250}}=0.0628$

$0.1 + 1.96\sqrt{\frac{0.1(1-0.1)}{250}}=0.1372$

So then we can conclude that the true proportion of women with cosmetic dermatitis from using mascara at 95% of confidence is between (0.0628 and 0.1372)

Part c: Suppose you are informed that the true proportion with a nickel allergy for one of the two groups (eye shadow or mascara) is .12. Can you determine which group is referenced? Explain.

For this case we see that both confidence intervals contains the value of 0.12 so then we can't conclude that only one group is referenced at the significance level of 0.05 used.

7 0

2 years ago

if the sales tax rate is 7.25% in california, then how much would u pay in los angeles for a coat that cost $120.00

natima [27]

Answer:

The amount to be pay for coat is <u>$128.70</u>.

Step-by-step explanation:

Given:

The sales tax rate is 7.25% in California.

The cost for a coat in Los angeles is $120.00.

Now, to find amount to be paid.

Sales tax = 7.25%.