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Reil [10]
2 years ago
8

What is 6×9×(-5) equal to?

Mathematics
1 answer:
Mumz [18]2 years ago
8 0
6*9*(-5) = -270

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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
A man's regular pay is $3 per hour up to 40 hours. Overtime is twice the payment for regular time If he was paid $168, how many
Tems11 [23]
He worked 8 more hours overtime. Good luck with the rest of your homework..
5 0
2 years ago
Read 2 more answers
How close are a meter and a yard? Convert, 1 meter into yards by using the fact that there are 100 centimeters in a meter, 2.54
Sveta_85 [38]

Answer:

To convert 1 meter into yards

Using the given facts : 100 centimeters in a meter, 2.54 centimeters in an inch, 12 inches in a foot, and 3 feet in a yard.

we can write these as;

1 m = 100 cm

1 inches = 2.54 cm

1 ft = 12 inches and

1 yard = 3 ft

1 ft = 12 inches

3 ft = 3 \times 12 = 36 inches

Since,

1 inches  = 2.54 cm

36 inches = 91.44 cm

Also,

1 m = 100 cm

or

1 cm = \frac{1}{100} m

then;

91.44 cm = \frac{91.44}{100} =0.9144 m

⇒ 1 yards = 0.9144 m

Divide both sides by 0.9144 we get;

1 meter = \frac{1}{0.9144} = 1.0936133 yards.

Therefore, the answer is, 1 m =  1.1 yards (nearest to tenth)


5 0
2 years ago
(07.03 MC)
garri49 [273]

Answer:

9x²y¹⁴

Step-by-step explanation:

\tt (3xy^4)^2(y^2)^3\\\\=3^2x^2y^{4\cdot2}\cdot y^{2\cdot3}\\\\=9x^2y^{8}\cdot y^{6}\\\\= 9x^2y^{8+6}\\\\= 9x^2y^{14}

5 0
2 years ago
A certain tennis player makes a successful first serve 70% of the time. Assume that each serve is independent of the others. If
EleoNora [17]

this is a binomial problem: p = 0.7 and q = 0.3

a) (0.7)^6

b) (6C4)(0.7)^4(0.3)^2

c) Pr ( at least 4) = Pr(4) + Pr(5) + Pr(6) = (6C5)(0.7)^5(0.3) + (0.7)^6

d) Pr (no more than 4) = 1 - Pr(at least 4) = 1 - (answer from c)

6 0
2 years ago
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