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3 years ago

Write the equation of the line that passes through the points

Mathematics

1 answer:

Tanya [424]3 years ago

5 0

Answer:

y + 4 = 12 ( x - 1 )

Step-by-step explanation:

→ Work out the gradient

$\frac{-4-8}{-1-0} =12$

→ Substitute the numbers into the y - y₁ = m ( x - x₁ )

y + 4 = 12 ( x - 1 )

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Allan manages security at an events center. He works 8 hours per

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Answer:

I think it is $460.00. Plz correspond it.

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3 years ago

Deremine the slope and y-intercept y=x+5

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Slope:1
Y intercept:5

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The National Vital Statistics Reports for November 2011 states that U.S. preterm birth rate for 2010 was about 12%. Preterm birt

miskamm [114]

Answer:

$0.104 - 1.96\sqrt{\frac{0.104(1-0.104)}{500}}=0.0772$

$0.104 + 1.96\sqrt{\frac{0.104(1-0.104)}{500}}=0.1308$

The 95% confidence interval would be given by (0.0772;0.1308)

Step-by-step explanation:

For this case we can calculate the estimated proportion like this:

$\hat p =\frac{52}{500}= 0.104$

We can assume that the normal model can be used since we satisfy two conditions:

$np =500*0.104= 52>10$

$n(1-p) = 500*(1-0.104) = 448>10$

The confidence level for this case is 95% of confidence, and the significance is 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 mean is given by the following formula:

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

Replacing the values we got:

$0.104 - 1.96\sqrt{\frac{0.104(1-0.104)}{500}}=0.0772$

$0.104 + 1.96\sqrt{\frac{0.104(1-0.104)}{500}}=0.1308$

The 95% confidence interval would be given by (0.0772;0.1308)

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3 years ago

Read 2 more answers

What is the hypothesis that the ANOVA F-test is used for a multiple regression model Y = ?0 + ?1 X1+ ?2 X2+ ?3 X3 + A. H0: ?1 =

Vanyuwa [196]

Answer:

So the correct option for this case would be C:

H0: $\beta_1 =\beta_2 =\beta_3$

H1: At least one $\beta_i \neq \beta_j , i,j=1,2,3$

Step-by-step explanation:

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

When we conduct an ANOVA test to test the coefficients for the regression, the correct system of hypothesis are:

The hypothesis for this case are:

Null hypothesis: $\beta_{1}=\beta_{2}=\beta_{3}$

Or on other words we want to check if each variable X1, X2 and X3 NOT have a significant effect on the regression.

Alternative hypothesis: Not all the means are equal $\mu_{i}\neq \mu_{j}, i,j=1,2,3$

Or on other words we want to check if at least one of the variables( X1, X2 or X3), have a significant effect on the regression.

So the correct option for this case would be C:

H0: $\beta_1 =\beta_2 =\beta_3$

H1: At least one $\beta_i \neq \beta_j , i,j=1,2,3$

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3 years ago

The area of a rectangle is 256.5 square meters. If the length is 18 m, what is the perimeter of the rectangle?

True [87]

Answer:

64.5 m

Step-by-step explanation:

1) Find the width: A = L*W, and so W = A / L = (256.5 m²) / (18 m) = 14.25 m.

2) Find the perimeter, using the formula P = 2L + 2W:

Here P = 2(14.25 m) + 2( 18 m) = 64.5 m

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3 years ago