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3 years ago

Give the slope of y + 2 = 3(x - 7) and a point on the line.

Mathematics

1 answer:

chubhunter [2.5K]3 years ago

5 0

Answer:

The slope --> m = 3

A point from the line --> ( 0 , 23 )

Step-by-step explanation:

To find the slope you put the equation y+2=3(x-7) into Slope-Intercept Form (y=mx+b)

y+2=3(x-7) --> y+2=3x-21 --> y=3x-23

m is the slope and m=3

b is the y-intercept and b is 23

Hope this helps .-.

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Aiden typed h words in three hours. which algebraic expression represents how many words per minute Aiden typed?

aleksandr82 [10.1K]

H words * 1 hour = h words
3 hours 60 minutes 180 minutes
or h/180 words per minute

3 0

4 years ago

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A magazine reports that women trust recommendations from a particular social networking site more than recommendations from any

Misha Larkins [42]

Answer:

a) $p_A$ represent the real population proportion for women

$\hat p_A =\frac{123}{150}=0.82$ represent the estimated proportion for women

$n_A=150$ is the sample size selected for women

b) $p_B$ represent the real population proportion for male

$\hat p_B =\frac{102}{170}=0.6$ represent the estimated proportion for male

$n_B=170$ is the sample size selected for male

c) $(0.82-0.6) - 1.96 \sqrt{\frac{0.82(1-0.82)}{150} +\frac{0.6(1-0.6)}{170}}=0.124$

$(0.82-0.6) + 1.96 \sqrt{\frac{0.82(1-0.82)}{150} +\frac{0.6(1-0.6)}{170}}=0.316$

And the 95% confidence interval would be given (0.124;0.316).

We are confident at 95% that the difference between the two proportions is between $0.124 \leq p_A -p_B \leq 0.316$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Part a

$p_A$ represent the real population proportion for women

$\hat p_A =\frac{123}{150}=0.82$ represent the estimated proportion for women

$n_A=150$ is the sample size selected for women

Part b

$p_B$ represent the real population proportion for male

$\hat p_B =\frac{102}{170}=0.6$ represent the estimated proportion for male

$n_B=170$ is the sample size elected for male

$z$ represent the critical value for the margin of error

Part c

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

The confidence interval for the difference of two proportions would be given by this formula

$(\hat p_A -\hat p_B) \pm z_{\alpha/2} \sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

And replacing into the confidence interval formula we got:

$(0.82-0.6) - 1.96 \sqrt{\frac{0.82(1-0.82)}{150} +\frac{0.6(1-0.6)}{170}}=0.124$

$(0.82-0.6) + 1.96 \sqrt{\frac{0.82(1-0.82)}{150} +\frac{0.6(1-0.6)}{170}}=0.316$

And the 95% confidence interval would be given (0.124;0.316).

We are confident at 95% that the difference between the two proportions is between $0.124 \leq p_A -p_B \leq 0.316$

8 0

3 years ago

A real estate agent sold a lot for P550,000.00. If his agency pays 10% commission, how much commission will he/she receive?

Elina [12.6K]

Answer:

P55,000

Step-by-step explanation:

The amount of commission is found by multiplying the commission rate by the value of the sale(s).

commission = rate × sales

commission = 0.10 × p550,000 = P55,000

The agent will receive P55,000 in commission.

_____

<em>Check</em>

The amount of commission cannot be more than the value of the sale. It is generally a small fraction of the sale value. Here, it is 1/10.

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2 years ago

Determine if true:<br> 2x6-3=10

cestrela7 [59]

Answer:

False

Step-by-step explanation:

2x6=12

2x6=1212-3=9

Hence, the equation is false.

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3 years ago

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the demand for a product for the last six years has been 15, 15, 17, 18, 20, and 19. The manager wants to predict the demand for

Marta_Voda [28]

Answer and explanation:

Given : The demand for a product for the last six years has been 15, 15, 17, 18, 20, and 19. The manager wants to predict the demand for this time series using the following simple linear trend equation : $tr_t = 12 + 2t$