Rearrange the equation so w is the independent variable. u-5=-4(w-1)

A building is 1 ft from a 12-ft fence that surrounds the property. A worker wants to wash a window in the building 1515 ft from

7nadin3 [17]

He would need a ladder that is 2020 ft

6 0

3 years ago

The tape diagram represents the ratio of the time you spend tutoring to the time your friend spends tutoring. You tutor for 3 ho

Dafna11 [192]

Answer:

By a quick online search, i found two tape diagrams:

13) You: -

Friend: - -

So you have one block, and your friend has two.

We know that you work for 3 hours, this means that your only block must represent 3 hours.

And all the blocks represent the same amount of time, then each one of the two blocks of your friend also represents 3 hours.

Then in total, he tutored for 3 hours + 3 hours = 6 hours.

14) You: -

Friend: - - - - -

In this case, you still have only one block, but now your friend has 5.

Using the same reasoning as above, we can conclude that each block represents 3 hours, and your friend has 5 of them, this means that he tutored for:

5*3 hours = 15 hours

4 0

3 years ago

Diana invested $3000 in a savings account for 3 years. She earned $450 in interest over that time period. What interest rate did

Oksi-84 [34.3K]

I = prt
450 = 3000 x r x 3
450 = 9000r
450/9000 = 9000r/9000
r = 0.05

7 0

3 years ago

I NEED HELP QUICKKKK

Alexxx [7]

f(x)=2x^2+4x−16. Here's why.

There are lots of things we can do to find which quadratic function is being graphed.

When a function has a positive leading coefficient, both ends when graphed will continue up, and when the leading coefficient is negative, both ends will continue down. Because both ends of the graph are going up, we can rule out f(x) = −4x^2+3x+16 because it has a negative leading coefficient, (-4).

Another simple way to find which function is being graphed is to find the y intercept of each function.
To find the y intercept of a function, substitute 0 into the function.

f(x) = 2x^2+4x−16
f(0) = 2(0)^2+4(0)−16
f(0) = -16.

f(x) = 3x^2−5x+16
f(0) = 3x(0)^2−5(0)+16
f(0) = 16

f(x) = 5x^2−2x−16
f(0) = 5(0)^2 - 2(0) = -16
f(0) = -16.

The y intercept is the point where the function crosses the y axis. As you can see, the y intercept of the graph is -16. Because of this, we can rule out f(x) = 3x^2−5x+16 because its y intercept is positive 16.

Next we can factor each of the two remaining trinomials to determine the x intercepts. I'll explain how to do that if you don't know how.

f(x) = 2x^2+4x−16
First, factor out the Greatest Common Denominator (GCF)
2x^2+4x−16
The GCF is 2, so divide each term by 2.
2x^2+4x−16
2(x^2 + 2x - 8)
Next, multiply the coefficient of the first and last term
1 x -8 = -8
Find a pair of numbers that multiply to give you -8, and add to give you the coefficient of the middle term (2)
Our pair of numbers are -2 and 4, because -2 x 4 = -8 and -2 + 4 = 2.
Replace the middle term with this pair of numbers.

2(x^2 + 4x - 2x - 8)
Now separate the polynomial inside the parenthesis into two groups, and factor out the GCF for each group.

2[x(x + 4) - 2(x + 4)]
As you can see, these two groups have a GCF, which is (x + 4).
Factor that out and you're left with
2[(x - 2)(x + 4)]

Now take each term in parenthesis, set them to 0, and solve for x.

x - 2 = 0
x - 2 + 2 = 0 + 2
x = 2

x + 4 = 0
x + 4 - 4 + 0 - 4
x = -4

The x intercepts are 2 and -4.
Now do the same thing with the other function.

f(x)=5x^2−2x−16
f(x) = 5x^2 + 8x - 10x - 16
f(x) = x(5x + 8) - 2(5x + 8)
f(x) = (5x + 8)(x - 2)

5x + 8 = 0
5x + 8 - 8 = 0 - 8
5x = -8
5x / 5 = -8 / 5
x = -1.6

x - 2 = 0
x - 2 + 2 = 0 + 2
x = 2

f(x)=2x^2+4x−16's x - intercepts are -4 and 2,
f(x)=5x^2−2x−16 's x -intercepts are -1.6 and 2.
As you can see, the graph's x intercepts are -4 and 2.

f(x)=2x^2+4x−16 is the answer.

Hope this helps!!
Let me know if you don't understand anything and I'll try to explain as best I can.

3 0

3 years ago

The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally injured

FrozenT [24]

Answer:

The p value obtained was a low value and using the significance level given $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of of driver fatalities related to alcohol is less from 0.77 or 77%.

Step-by-step explanation:

1) Data given and notation n

n=53 represent the random sample taken

X=35 represent the automobile driver fatalities in a certain county involved with an intoxicated driver

$\hat p=\frac{35}{53}=0.660$ estimated proportion of automobile driver fatalities in a certain county involved with an intoxicated driver

$p_o=0.77$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

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

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the population proportion of driver fatalities related to alcohol is less than 77% or 0.77 in Kit Carson:

Null hypothesis: $p\geq 0.77$

Alternative hypothesis: $p < 0.77$

When we conduct a proportion test we need to use the z statisitc, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

3) Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.660 -0.77}{\sqrt{\frac{0.77(1-0.77)}{53}}}=-1.903$

4) Statistical decision

It's important to refresh the p value method or p value approach . "This methos is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is an unilateral lower test the p value would be:

$p_v =P(z$

So the p value obtained was a low value and using the significance level given $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of of driver fatalities related to alcohol is less from 0.77 or 77%.

8 0

3 years ago