And object has a mass of five KG what force is needed to accelerate it at 6m/s2

1. Which example shows the zero product

aniked [119]

Answer:

The answer is C.....im pretty sure I took the test

Step-by-step explanation:

8 0

2 years ago

Solve by Elimination: <br> 4x - 5y = 14<br> -4x + y = 6

Lana71 [14]

Answer:x = 1 , y = − 2

Step-by-step explanation:

5 0

2 years ago

A random sample of 16 students selected from the student body of a large university had an average age of 25 years and a populat

eimsori [14]

Answer:

$t=\frac{25-24}{\frac{2}{\sqrt{16}}}=2$

$p_v =P(t_{15}>2)=0.0320$

If we compare the p value and the significance level given for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and the true mean is significant higher than 24 years.

Step-by-step explanation:

1) Data given and notation

$\bar X=25$ represent the sample mean

$s=2$ represent the standard deviation for the sample

$n=16$ sample size

$\mu_o =24$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

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

Confidence =0.95 or 95%

$\alpha=0.05$

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to determine if the mean is higher than 24, the system of hypothesis would be:

Null hypothesis: $\mu \leq 24$

Alternative hypothesis: $\mu > 24$

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

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

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

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

$t=\frac{25-24}{\frac{2}{\sqrt{16}}}=2$

Calculate the P-value

First we need to calculate the degrees of freedom given by:

$df=n-1=16-1=15$

Since is a one-side upper test the p value would be:

$p_v =P(t_{15}>2)=0.0320$

Conclusion

If we compare the p value and the significance level given for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and the true mean is significant higher than 24 years.

3 0

3 years ago

If a polynomial function f(x) has roots 1+square root of 2 and-3, what must be a factor of f(x)?

nevsk [136]

To find the factor a a polynomial from its roots, we are going to seat each one of the roots equal to $x$ , and then we are going to factor backwards.

We know for our problem that one of the roots of our polynomial is -3, so lets set -3 equal to $x$ and factor backwards:
$x=-3$
$x+3=0$
$(x+3)$ is a factor of our polynomial.

We also know that another root of our polynomial is $1+ \sqrt{2}$ , so lets set $1+ \sqrt{2}$ equal to $x$ and factor backwards:
$x=1+ \sqrt{2}$
$x-1= \sqrt{2}$
$x-1- \sqrt{2}=0$
$(x-(1+ \sqrt{2})=0$
( $(x-(1+ \sqrt{2} ))$ is a factor of our polynomial.

We can conclude that there is no correct answer in your given choices.

8 0

3 years ago

17. Santino loves to rock different colored polo shirts every day. He recently wore the following colors:

qaws [65]

Answer:

The mode for the colors that Santino wore recently is Blue.

Step-by-step explanation:

The mode of a data set is the term or observation that presents most of the time.

The frequency table of different colored polo shirts worn by Santino is:

Color Frequency

Yellow 2

Blue 3

Green 1

Pink 1

Brown 1

Orange 1

Chartreuse 1

Black 1

Puce 1

The color Blue has the highest frequency, i.e. 3.

So, the mode for the colors that Santino wore recently is Blue.

3 0

2 years ago