Solve the two-step equation. 14 = 31.7 – 3x What is the solution? x =

Find HCF of (726, 255).

Triss [41]

Good evening ,

Answer:

Step-by-step explanation:

255 = 3×5×17

726 = 2×3×11^2

Then HCF(255,726) = 3.

:)

3 0

4 years ago

What is m4+m5+m6 A. 180 B. 270 C. 300 D. 360

dezoksy [38]

D any angle no matter how many there totally degree is 360

8 0

4 years ago

Read 2 more answers

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

.Find (g o f)(x) for f(x) = 2x + 4 and g(x) = x^2 . Show all of your work, it'll help me for my next one ! (: thanks

adelina 88 [10]

You should know that (g o f)(x) is the same as g(f(x)), or g of f(x). To solve for g(f(x)), substitute whatever f(x) equals as x into g(x).

So, if you have the two functions
g(x) = x^2
f(x) = 2x + 4,
you substitute what f(x) equals as x into the g(x) equation.
 $g(x) = x^2 \\ 
g(f(x)) = (f(x))^2 \\ 
g(f(x)) = (2x + 4)^2 \\ 
g(f(x)) = 4x^2 + 16x + 16$

5 0

4 years ago

The graphs below were created by an advertising agency for the computer store TechPlus to show its average price on laptops and

Nostrana [21]

Answer:

Step-by-step explanation:

7 0

3 years ago

Solve the two-step equation.14 = 31.7 – 3xWhat is the solution?x =