See the picture please!!

Find the area of the trapezoid

nata0808 [166]

Answer:

15 + 23 = 38

38 x 9 = 342

342 x 1/2 (basically just dividing by 2) 171

Step-by-step explanation:

Formula of a trapezoid:

B1(base 1) + B2(base 2) x H(height) x 1/2(basically just dividing by 2)

In this case,

12 and 23 are your bases, 9 is your height.

7 0

3 years ago

Could I get some help?

Liono4ka [1.6K]

Vertical angles 2 and 5, 1 and 6, 3 and 8, 7 and 4
linear pair 1 and 5, 5 and 6, 6 and 2, 2 and 1, and also 3 and 7, 7 and 8, 8 and 4, 4 and 3
congruent angles - all vertical pairs are congruent angles
2 congruent to 5, 1 congruent to 6, 3 congruent to 8, 7 congruent to 4

8 0

3 years ago

Can somebody help me with this question plz !

lidiya [134]

Answer:

y=4x-3

Step-by-step explanation:

Parallel lines will always have the same slope (the number that comes before x in an equation). So, we can plug in 4 to the equation.

y=4x+?

Let's say the ? is b. If we plug in the point (1,1) into y=4x+b, we get

1=4(1)+b

reduce

1=4+b

subtract 4 from both sides

-3=b

and now we can add b=-3 into the original answer, and we get y=4x-3!

5 0

3 years ago

Diona told me to get this app to solve my math problems,what is 10 + 10 Jean can't help because she's doing other stuff :,)

elena55 [62]

Answer:

20

Step-by-step explanation:

10 + 10

= 20

Just add units place first.

0 + 0 = 0

Then tens place.

1 + 1 = 2

So the number,

=> 20

5 0

3 years ago

Fowle Marketing Research Inc., bases charges to a client on the assumption that telephone surveys can be completed in a mean tim

sergejj [24]

Answer:

a) Null hypothesis: $\mu \leq 15$

Alternative hypothesis: $\mu > 15$

b) $t=\frac{17-15}{\frac{4}{\sqrt{35}}}=2.958$

c) $p_v =P(t_{34}>2.958)=0.0028$

d) If we compare the p value and the significance level given $\alpha=0.01$ 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 higher than 15 at 1% of signficance.

Step-by-step explanation:

Data given and notation

The sample mean is given by:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And the sample deviation is:

$s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

$\bar X=17$ represent the sample mean

$s=4$ represent the sample standard deviation

$n=35$ sample size

$\mu_o =15$ represent the value that we want to test

$\alpha=0.01$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

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

Part a State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is less or equal than 15, the system of hypothesis would be:

Null hypothesis: $\mu \leq 15$

Alternative hypothesis: $\mu > 15$

Since we don't know the population deviation, 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".

Part b Calculate the statistic

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

$t=\frac{17-15}{\frac{4}{\sqrt{35}}}=2.958$

Part c P-value

The degrees of freedom are given by:

$df = n-1= 35-1=34$

Since is a right tailed test the p value would be:

$p_v =P(t_{34}>2.958)=0.0028$

Part d Conclusion

If we compare the p value and the significance level given $\alpha=0.01$ 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 higher than 15 at 1% of signficance.

7 0

3 years ago