When three points lie on the same line

Plz helppp I don’t understand

Dmitrij [34]

Answer:

5+x=-4, =9

Step-by-step explanation:

5+x=-4 Write equation

-5 -5 Subtract 5 from both sides to isolate x

+x=-9

4 0

3 years ago

Enter and solve a polynomial equation for the situation described.

klasskru [66]

Height = x (This is given)

Length = 5x

Width = 6x

Volume = length × width × height

The equation will be: (5x)(6x)(x) = 1920

simplify:

30x² × (x) = 1920

30x³ = 1920

Divide both sides by 30

x³= 64

x = ∛64

x= 4

If x = height, then, the height is 4cm

5x = length

20cm = length

6x = width

24cm = width

7 0

3 years ago

For parts a and bâ, use technology to estimate the following. âa) The critical value of t for a 90â% confidence interval with df

rjkz [21]

Answer:

a) For the 90% confidence interval the value of $\alpha=1-0.9=0.1$ and $\alpha/2=0.05$ , with that value we can find the quantile required for the interval in the t distribution with df =3. And we can use the folloiwng excel code: "=T.INV(0.05,3)" and we got:

$t_{\alpha/2} =\pm 2.35$

b) For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the t distribution with df =106. And we can use the folloiwng excel code: "=T.INV(0.005,106)" and we got:

$t_{\alpha/2} =\pm 2.62$

Step-by-step explanation:

Previous concepts

The t distribution (Student’s t-distribution) is a "probability distribution that is used to estimate population parameters when the sample size is small (n<30) or when the population variance is unknown".

The shape of the t distribution is determined by its degrees of freedom and when the degrees of freedom increase the t distirbution becomes a normal distribution approximately.

The degrees of freedom represent "the number of independent observations in a set of data. For example if we estimate a mean score from a single sample, the number of independent observations would be equal to the sample size minus one."

Solution to the problem

Part a

For the 90% confidence interval the value of $\alpha=1-0.9=0.1$ and $\alpha/2=0.05$ , with that value we can find the quantile required for the interval in the t distribution with df =3. And we can use the folloiwng excel code: "=T.INV(0.05,3)" and we got:

$t_{\alpha/2} =\pm 2.35$

Part b

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the t distribution with df =106. And we can use the folloiwng excel code: "=T.INV(0.005,106)" and we got:

$t_{\alpha/2} =\pm 2.62$

3 0

3 years ago

Rachel rounded 16,473 to the nearest hundred.Then she rounded her anzer to the nearest thousand.What is the final number

musickatia [10]

The hundreds place is underlined: 16,<u>4</u>73.

Look at the number to the right of the hundreds place. It is a 7. Because 7 is greater than 5, round up

16473 rounded to the nearest hundred is 16500

Next, she takes the number to round to the nearest thousand.

Remember that 5 and greater round up.

16500 rounded to the nearest thousand is 17000

17000 is your answer

hope this helps

8 0

3 years ago

Please help me! Don't answer unless you are SURE that the answer is right, please! Will give 25 points.

Veronika [31]

the first thing to note is since one gallon= 60 miles then 1/2 gallon= 30 miles, now I know 1/2 is not an answer but it is easiest to decrease in moderate amounts. 1/2 gallon= 48 Km so we are close, and 1/2=0.5 so if we brought it down to 0.42 we would have 25.2 miles and 25.2 miles = 40.32. The question wants to know the approximate number and 40.32 is the closest we are going to get so the answer is 0.42

question 3

Answer:

80 + 65x ≤ 425

Step-by-step explanation:

First of all we know that the 425 must be greater than or equal to the other side, so the symbol to show that would be ≤. We also know that the forklift is a fixed price by the words 'each day'. And the to hire a single crew member would be $65 unless there are more crew workers, which would be multiplied with the 65.

question 4

Jimthompson5910Expert

Part A

Yes y is a function of x. Specifically the equation is y = x^5

For any given input, there is exactly one output

Notice how if x = 1 then y = x^5 = (1)^5 = 1

Notice how if x = -1 then y = x^5 = (-1)^5 = -1

Notice how if x = -2 then y = x^5 = (-2)^5 = -32

Notice how if x = 2 then y = x^5 = (2)^5 = 32

In general,

x^5 = x*x*x*x*x

there are five copies of x multiplied

A more specific example

3^5 = 3*3*3*3*3

there are five copies of '3' multiplied

=====================================================

Part B

All we do is replace x with 4 and use PEMDAS to simplify

f(x) = 2x+12

f(4) = 2(4)+12

f(4) = 8+12

f(4) = 20

The value of f(4) is 20

What does it mean? It is the total cost of renting the bowling lane for 4 hours. If you rent it for four hours, then you'll pay a total of $20.

The portion 2x = 2*4 = 8 is the variable cost which depends on how long you play. The more hours, the more the variable cost goes up

The fixed cost is 12. This is always fixed as this is the price to get in the door. If you play for 0 hours, but somehow got in the door, then you still pay $12

In total, variableCost+fixedCost = 8+12 = 20 = totalCost

5 0

3 years ago