Classify the angles, then find the value of x

Independent random samples taken on two university campuses revealed the following information concerning the average amount of

love history [14]

Answer:

$p_v =P(t_{88}>6.960) =2.91x10^{-10}$

So with the p value obtained 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 mean of the group A is significantly lower than the mean for the group B.

Step-by-step explanation:

The statistic to test the hypothesis is given by this formula:

$t=\frac{(\bar X_A-\bar X_B)-(\mu_{A}-\mu_B)}{\sqrt{\frac{s_A^2}{n_A}}+\frac{s_B^2}{n_B}}$

Where t follows a t distribution with $n_1+n_2 -2$ degrees of freedom

The system of hypothesis on this case are:

Null hypothesis: $\mu_A \leq \mu_B$

Alternative hypothesis: $\mu_A >\mu_B$

Or equivalently:

Null hypothesis: $\mu_A - \mu_B \leq 0$

Alternative hypothesis: $\mu_A -\mu_B>0$

Our notation on this case :

$n_A =50$ represent the sample size for group A

$n_B =40$ represent the sample size for group B

$\bar X_A =280$ represent the sample mean for the group A

$\bar X_B =250$ represent the sample mean for the group B

$s_A=20$ represent the sample standard deviation for group A

$s_B=23$ represent the sample standard deviation for group B

And now we can calculate the statistic:

$t=\frac{(280 -250)-(0)}{\sqrt{\frac{20^2}{50}}+\frac{23^2}{40}}=6.511$

Now we can calculate the degrees of freedom given by:

$df=50+40-2=88$

And now we can calculate the p value using the alternative hypothesis:

$p_v =P(t_{88}>6.960) =2.91x10^{-10}$

So with the p value obtained 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 mean of the group A is significantly lower than the mean for the group B.

8 0

3 years ago

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Which graph best represents the solution set of - 4x s 6y - 54?

nataly862011 [7]

Answer:

7tuvfgkfzgizitxiyxgoxyoxyoxhodigdigx

3 0

3 years ago

I need help badly please help

Alina [70]

(4x³-5x²-2x+11)/(x+1)

[(x+1)(4x²-9x+7)]/(x+1) + 4/(x+1)

4x²-9x+7 + 4/(x+1)

4 0

3 years ago

Solve the system equation for X and using the elimination method .

Kisachek [45]

Answer: 2х+5y=25= Slope = -0.800/2.000 = -0.400

x-intercept = 25/2 = 12.50000

y-intercept = 25/5 = 5

so slope form =0,400

x intercept form = 12.50000

y intercept =5

and the answer to 2x+3y=-1= Slope = 1.333/2.000 = 0.667

x-intercept = 1/2 = 0.50000

y-intercept = -1/3 = -0.33333

Step-by-step explanation: an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 2x+5y-25 = 0 and calculate its properties

Notice that when x = 0 the value of y is 5/1 so this line "cuts" the y axis at y= 5.00000

y-intercept = 25/5 = 5

When y = 0 the value of x is 25/2 Our line therefore "cuts" the x axis at x=12.50000

x-intercept = 25/2 = 12.50000

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 5.000 and for x=2.000, the value of y is 4.200. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 4.200 - 5.000 = -0.800 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -0.800/2.000 = -0.400

Geometric figure: Straight Line

Slope = -0.800/2.000 = -0.400

x-intercept = 25/2 = 12.50000

y-intercept = 25/5 = 5

8 0

3 years ago

Ginger wants to fill her new swimming pool. She has two pumps; the larger pump takes 40 minutes to fill the pool, and the smalle

Talja [164]

As per the problem,

The larger pump takes 40 minutes to fill the pool.

The smaller one takes 60 minutes.

When both the pumps are working , let the time taken be x minutes , then we can write

$\frac{1}{x}=\frac{1}{40}+\frac{1}{60}\\ \\ \text{Make the denominator equal we get}\\ \\ \frac{1}{x}=\frac{1}{40}*\frac{60}{60}+\frac{1}{60}*\frac{40}{40}\\ \\ \frac{1}{x}=\frac{60}{2400}+\frac{40}{24000}\\ \\ \text{Simplify we get}\\ \\ \frac{1}{x}=\frac{60+40}{2400}\\ \\ \frac{1}{x}=\frac{100}{2400}\\ \\ \frac{1}{x}=\frac{1}{24}\\ \\ x=24\\$

Hence, when both the pumps works together, Time taken =24 minutes.

5 0

4 years ago

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