What is the measure of arc QR

Which does not belong with the other three

Marrrta [24]

Answer:

the second picture doesn't belong with the other 3.

they are separated angles

3 0

3 years ago

Most US adults have social ties with a large number of people, including friends, family, co-workers, and other acquaintances. I

xxTIMURxx [149]

Answer:

$t=\frac{669-634}{\frac{732}{\sqrt{1700}}}=1.971$

$p_v =2*P(t_{(1699)}>1.971)=0.049$

If we compare the p value and the significance level given $\alpha=0.1$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is different from 634 at 10% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=669$ represent the sample mean

$s=732$ represent the sample standard deviation

$n=1700$ sample size

$\mu_o =68$ represent the value that we want to test

$\alpha=0.$ 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)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is different from 634, the system of hypothesis would be:

Null hypothesis: $\mu = 634$

Alternative hypothesis: $\mu \neq 634$

If we analyze the size for the sample is > 30 but we don't know the population deviation so 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:

$t=\frac{669-634}{\frac{732}{\sqrt{1700}}}=1.971$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=1700-1=1699$

Since is a two sided test the p value would be:

$p_v =2*P(t_{(1699)}>1.971)=0.049$

Conclusion

If we compare the p value and the significance level given $\alpha=0.1$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is different from 634 at 10% of signficance.

3 0

3 years ago

Hi! Algebra two question, rational exponents.

ivanzaharov [21]

Simplifying $\left(x^2+8xy+16y^2\right)^{\frac{1}{3}}.\left(x+4y\right)^{\frac{1}{3}}$ we get $\left(x+4y\right)}$

Step-by-step explanation:

We need to simplify:

$\left(x^2+8xy+16y^2\right)^{\frac{1}{3}}.\left(x+4y\right)^{\frac{1}{3}}$

For solving, we will first simplify the terms inside the exponent and then solve exponent

First Solving: $\left(x^2+8xy+16y^2\right)}.\left(x+4y\right)}$

Using the formula: $(a^2+2ab+b^2)=(a+b)^2$

$\left(x^2+8xy+16y^2\right)}.\left(x+4y\right)}\\\left((x)^2+2(x)(4y)+(4y)^2\right)}.\left(x+4y\right)}\\\left(x+4y\right)^2}.\left(x+4y\right)}$

Using exponent rule:

$a^m.a^n=a^{m+n}$

$\left(x+4y\right)^{2+1}}\\\left(x+4y\right)^3}$

Now,

$(\left(x+4y\right)^3})^{\frac{1}{3}}\\Simplifiying:\\\left(x+4y\right)}^{\frac{3}{3}}\\\left(x+4y\right)}$

So, simplifying $\left(x^2+8xy+16y^2\right)^{\frac{1}{3}}.\left(x+4y\right)^{\frac{1}{3}}$ we get $\left(x+4y\right)}$

Keywords: Solving Rational exponents:

Learn more about Solving Rational exponents at:

#learnwithBrainly

4 0

4 years ago

The gas tank of a 2015 Nissan Sentra holds 13.2 gallons. How many pounds of carbon dioxide are produced by burning an entire tan

OLEGan [10]

<span>13.2 gallons=49.9 liters
the gas is the octan C8H18
the combustion of Octan equation is
C8H18 + 25/2 O2-------------------> 8CO2 + 9 H2O
1mole 8 moles
n(C8H18)=a n(CO2)=b
so
1 mole/a = 8moles /b
and b= 8molesx a

we must find the value of a, molar volume of a gas is v= 22.4l/mol=V/a, so a=V/v= 49.9/22.4= 2.23 moles

and b=8 x a=8x 2.23=17.85 moles
M(CO2)=m(CO2)/n(CO2)====> m=n x M=17.85 * (12+2x16)= 785.4 g

m(CO2)=785.4g = 1.57 pound</span>

5 0

3 years ago

Match the correct y=mx+b equation to the graph: <br><br> pls show work/explanation!

11Alexandr11 [23.1K]

<h3>Answer: y = (1/3)x - 2</h3>

Explanation:

The y intercept is -2 because the line crosses the y axis at this location. So b = -2

The slope is m = 1/3 because we go up 1 and over to the right 3 units. For instance, going from (0,-2) to (3,-1) follows this pattern.

You can use the slope formula for two points like (x1,y1) = (0,-2) and (x2,y2) = (3,-1) to find that m = 1/3

The slope formula is m = (y2-y1)/(x2-x1)

So that's how we go from y = mx+b to y = (1/3)x-2

4 0

3 years ago