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2 years ago

15

In Las Vegas, the hottest recorded temperature is 47?C, and the lowest recorded temperature is -13?C. What is the difference bet

ween the city's highest and lowest recorded temperatures?

2 answers:

Sindrei [870]2 years ago

7 0

Answer:50 ft The distance between two numbers is the absolute value of their difference.

36 - (-14)

36 + 14

50

The absolute value of 50 is 50.

The difference could have been found this way also -14 - (36).

-14 -36

-50

The absolute value of -50 is 50. Either way that you find the difference, the correct answer is 50 ft.

Step-by-step explanation:

Oliga [24]2 years ago

3 0

The difference between the city's highest and lowest recorded temperature
=47 - ( -13)
=60 °C

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Write and then solve for y = f(x) the differential equation for the statement: "The rate of change of y with respect to x is inv

vazorg [7]

The statement "<span>The rate of change of y with respect to x is inversely proportional to y^4" can be written mathematically as dy/dx = k/y^4

To solve the differential equation, we use variable saparable method.
y^4 dy = kdx
Integrating both sides gives,
y^5 / 5 = kx + A
y^5 = 5kx + 5A = Bx + C; where B = 5k and C = 5A
$y= \sqrt[5]{Bx+C}$ </span>

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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

What are the possible steps involved in solving the equation shown? Select three options.

e-lub [12.9K]

Answer:

Option B, C and D are correct choices.

Step-by-step explanation:

We have been given an equation $3.5+1.2(6.3-7x)=9.38$ . We are asked to choose the steps that are involved in solving the equation.

Let us solve the equation.

Using distributive property $a(b+c)=ab+ac$ , we will distribute 1.2 to 6.3 and $-7x$ .

$3.5+1.2*6.3-1.2*7x=9.38$

$3.5+7.56-8.4x=9.38$

Therefore, option B is the correct choice.

Now, we will combine like terms.

$11.06-8.4x=9.38$

Therefore, option C is the correct choice.

Now, we will subtract 11.06 from both sides of our equation.

$11.06-11.06-8.4x=9.38-11.06$

$-8.4x=-1.68$

Therefore, option D is the correct choice.

Now, to solve for x, we need to divide both sides of our equation by $-8.4$

$\frac{-8.4x}{-8.4}=\frac{-1.68}{-8.4}$

$x=0.2$

3 0

2 years ago

Read 2 more answers

Michaela’s class used a spinner that has 6 spaces of equal area in which the arrow can land. The areas are numbered 1, 2, 3, 4,

diamong [38]

The number of times the spinner landed on a space numbered greater than 4 = 167

Step-by-step explanation:

Step 1 :

Given,

Number of equal area spaces in the spinner = 6

Number of times the spinner was spun = 500

We need to find the number of times the spinner landed on a space numbered greater than 4

Step 2 :

Total number of outcome = 6

Favorable outcomes are = Numbers greater than 4 = 5,6

Total number of favorable outcome = 2

Therefore Probability that the spinner will land on a number that is greater than 4 is $\frac{2}{6}$ = $\frac{1}{3}$

The number of times that the spinner landed on a space numbered greater than 4 = 500 × $\frac{1}{3}$ = 166.67 = 167 (rounded off to the nearest integer)

Step 3 :

Answer :

The number of times the spinner landed on a space numbered greater than 4 = 167

4 0

2 years ago

A 747 airplane weighs about 600,000 pounds. It can also be expressed as approximately 3 times 10 Superscript n tons. If there ar

miss Akunina [59]

Answer:

n=2

Step-by-step explanation:

2000 pounds = 1 ton 600000 pounds = X tons Hence X tons = (600000 x 1) ÷ 2000 = 300 tons 3 x 10ⁿ = 300 Hence 3 x 10ⁿ = 3 x 10² Hence n= 2

5 0

2 years ago

Read 2 more answers