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3 years ago

A line passes through the point (0,-4) and has slope-5. What is the equation of the line in slope-intercept form?

Mathematics

2 answers:

denis23 [38]3 years ago

5 0

Answer:

Y=-5x-4

Step-by-step explanation:

Mazyrski [523]3 years ago

4 0

Y= -5x -4 because you would do slope intercept form and sub the y and x in for -4 and 0

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A number doubled then increases by three is more than 6 but less than 20. Write and solve an inequality that represents this sce

qaws [65]

Answer:

Step-by-step explanation

Let the number be y

y doubled = y×2=2y

2y increases by 3 = 2y+3=

2y +3 is more than 6 but less than 20

2y+3 > 6

2y+3< 20

Solve for y

2y>6-3

y>3/2

2y+3<20

2y<20-3

2y<17

y<17/2

4 0

3 years ago

The average high-density lipoprotein (HDL) cholesterol level of adult females is 53 milligrams per deciliter. You want to determ

emmasim [6.3K]

Answer:

$t=\frac{54.1-53}{\frac{1.78}{\sqrt{12}}}=2.14$

$df = n-1= 12-1=11$

$p_v = P(t_{11}>2.14) =0.0278$

Step-by-step explanation:

Data provided

$\bar X=54.1$ represent the sample mean in mg per deciliter of cholesterol level

$s=1.78$ represent the sample standard deviation

$n=12$ sample size

$\mu_o =53$ represent the value that we want to test

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

System of hypothesis

We need to conduct a hypothesis in order to check if the mean is higher than 53 mg per deciliter, the system of hypothesis would be:

Null hypothesis: $\mu \leq 53$

Alternative hypothesis: $\mu > 53$

The statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Calculate the statistic

Replacing into the formula we got:

$t=\frac{54.1-53}{\frac{1.78}{\sqrt{12}}}=2.14$

P-value

We need to find first the degrees of freedom:

$df = n-1= 12-1=11$

The p value for this case since we have a right tailed test is:

$p_v = P(t_{11}>2.14) =0.0278$

6 0

3 years ago

Please help and thank you

lawyer [7]

I think it should be A

7 0

3 years ago

What is the answer?

lukranit [14]

The answer is the 2nd one because on the left side you combine like terms and when you do your sum is bigger than 5 so b is your answer

6 0

3 years ago

The probabilities that a customer selects 1, 2, 3, 4, or 5 items at a store are 0.32, 0.12, 0.23, 0.18, and 0.15, respectively.

Andrew [12]

Answer:

a. This is a probability distribution as ∑pi=1

b. 2.72

c. 1.45

Step-by-step explanation:

a. To verify the probability distribution we simply add all given probabilities and see whether they sums up to 1 or not. According to definition of probability distribution sum of probabilities should be 1 so,

∑pi=0.32+0.12+0.23+0.18+0.15=1

Hence it is verified that given distribution is a probability distribution.

b. Mean number of items selected= E(x)= ∑x*p(x)

here x =1,2,3,4,5 and p(x)=0.32,0.12,0.23,0.18,0.15.

mean number of items=1*0.32+2*0.12+3*0.23+4*0.18+5*0.15=2.72

c. standard deviation of number of items=sqrt[(∑x²*p(x))-(∑x*p(x))²]

∑x²*p(x)=1*0.32+4*0.12+9*0.23+16*0.18+25*0.15=9.5

(∑x*p(x))²=(2.72)²=7.4

standard deviation of number of items=sqrt[(∑x²*p(x))-(∑x*p(x))²]=sqrt(9.5-7.4)=sqrt(2.1)=1.45

6 0

3 years ago

A line passes through the point (0,-4) and has slope-5. What is the equation of the line in slope-intercept form?​

A line passes through the point (0,-4) and has slope-5. What is the equation of the line in slope-intercept form?