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3 years ago

Find the slope and y-intercept of the linear equation y=8−3x

Mathematics

1 answer:

Paraphin [41]3 years ago

4 0

Answer:

Slope: -3

y-intercept: (0, 8)

Step-by-step explanation:

The equation y = mx + b is used for all linear equations. In this equation, m = slope and b = y-intercept.

In order to find these two variables, you must put the equation given into the y = mx + b format.

y = 8 - 3x becomes y = -3x + 8

That means that m = -3 = slope and b = 8 = y-intercept.

I hope this helps!

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Over one weekend the fast florist makes 368 deliveries of one dozen roses. Did the fast florist deliver more then or less than 4

Alex787 [66]

Answer:

The florist delivered more than 4000 roses

Step-by-step explanation:

One dozen is 12 roses, so the fast florist delivered a total of 368 x 12 = 4416 roses. That is more than 4000 roses, so the answer is More than 4000 roses

4 0

3 years ago

Ginger's baby weighed only 3 3/8 pounds when it was born. The doctor said it could not leave the hospital until it weighed 5 1/2

Elanso [62]

To subtract 3 3/8 from 5 1/2,
by turning into fractions
[(5x2)+1]/2 = 11/2
[(3x8)+3]/8 = 27/8
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To subtract fractions, your denominator needs to have the same number. so multiply it by 4
44/8 - 27/8 = (44-27)/8 = 17/8.
17 / 8 pounds or 2 and 1/8 because 17 / 8 = 2 remainder 1.
In terms of weight that is 2.125 pounds.

4 0

3 years ago

mike bought a 24 pack of mountain dew for $8.40. write and solve an equation to calculate how much each indivdual can soda cost

vekshin1

Answer:

$0.31

Step-by-step explanation:

You need to take the amount of money each pack costs and divide it by the number of cans to find the unit rate. Hope this helps!!

6 0

2 years ago

Can someone find the area of the sidewalk?

Artyom0805 [142]

You need to find the area of the total rectangle, and subtract the area of the green rectangle from it. Therefore the solution is 12x10 - 8x6. This equals 72; part (C) of the question.

Therefore the solution is 72 units square; part (C).

6 0

3 years ago

A research group is curious about their city’s participation in flu shot clinics. They suspect that there is a difference betwee

Kipish [7]

Answer:

$t=\frac{(162-156)-0}{\sqrt{\frac{41^2}{22}+\frac{36^2}{20}}}}=0.505$

$p_v =2*P(t_{40}>0.505)=0.61633$

Comparing the p value with the significance level $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, then the difference between the two groups is NOT significantly different.

Step-by-step explanation:

Data given and notation

$\bar X_{1}=162$ represent the mean for sample of clinic attendees

$\bar X_{2}=156$ represent the mean for the sister city

$s_{1}=41$ represent the sample standard deviation for 1

$s_{2}=36$ represent the sample standard deviation for 2

$n_{1}=22$ sample size for the group 2

$n_{2}=20$ sample size for the group 2

$\alpha=0.05$ Significance level provided

t would represent the statistic (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the difference in the population means, the system of hypothesis would be:

Null hypothesis: $\mu_{1}-\mu_{2}=0$

Alternative hypothesis: $\mu_{1} - \mu_{2}\neq 0$

We don't have the population standard deviation's, so for this case is better apply a t test to compare means, and the statistic is given by:

$t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}$ (1)

And the degrees of freedom are given by $df=n_1 +n_2 -2=22+20-2=40$

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

With the info given we can replace in formula (1) like this:

$t=\frac{(162-156)-0}{\sqrt{\frac{41^2}{22}+\frac{36^2}{20}}}}=0.505$

P value

Since is a bilateral test the p value would be:

$p_v =2*P(t_{40}>0.505)=0.61633$

3 0

3 years ago