All categories

3 years ago

In the figure below, lines p and s are parallel.

Mathematics

2 answers:

mylen [45]3 years ago

7 0

Answer:

Step-by-step explanation:

60+6x-12= 180

6x = 180 -48

x= 132/6= 22

sashaice [31]3 years ago

4 0

Answer:

Step-by-step explanation:

i used a calculator (they never lie)

You might be interested in

Match each function with the expression representing its inverse function.

Georgia [21]

Answer:

A matches with 5.
B matches with 3.
C matches with 2.
D matches with 6.
E matches with 4.
F matches with 1.

Step-by-step explanation:

To find the inverse of a function $f(x)$ , we let $f(y)=x$ and then solve again for y.

For example, using $g(x)=-0.5x$ , we will let $g(y)=x$ , giving $x=-0.5y$ . This means that $y=-2x$ , and thus $g^{-1}(x)=-2x$ .

Using similar logic, we see that:

A matches with 5.
B matches with 3.
C matches with 2.
D matches with 6.
E matches with 4.
F matches with 1.

5 0

2 years ago

A tuter promises to improve GMAT scores of students by more than 50 points after three lessons. To see if this is true, the tuto

creativ13 [48]

Answer:

t48 = 1.7500

Step-by-step explanation:

A paired t-test is used to compare two population means where you have two samples in which observations in one sample can be paired with observations in the other sample. For example if we have Before-and-after observations (This problem) we can use it.

Let put some notation

x=test value before , y = test value after

The system of hypothesis for this case are:

Null hypothesis: $\mu_y- \mu_x \geq 50$

Alternative hypothesis: $\mu_y -\mu_x >50$

We have the mean difference

$\bar d= \frac{\sum_{i=1}^n d_i}{n}=53$

And the sample standard deviation for the differences, is:

$s_d =\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1} =12$

Now we can calculate the statistic given by :

$t=\frac{\bar d -\Delta}{\frac{s_d}{\sqrt{n}}}=\frac{53 -50}{\frac{12}{\sqrt{49}}}=1.75$

Since we don't have the population standard deviaition we need to use the t distribution and we can calculate the degrees of freedom given by:

$df=n-1=49-1=48$

Now we can calculate the p value, since we have a right tailed test the p value is given by:

$p_v =P(t_{(48)}>1.75) =0.0432$

If we use a significance level of 5% we have that $p_v$ , and on this case we reject the null hypothesis . And we don't have enough evidence to conclude that the difference of means it's higher than 50 points.

5 0

3 years ago

What would be the vertex of X+6=0??

natita [175]

Answer:

Any point on the line.

Step-by-step explanation:

x+6=0 is a straight line, and this line is infinite. You can pick three points on the line and the middle point is the vertex. This vertex can be any point on the line because there are an infinite amount of points to choose.

8 0

3 years ago

Malliki Williams earned a $48,000 from royalties on her cookbook.She paid a 28% income tax on these royalties. The balance wasin

Nikitich [7]

Answer:

$20000 and $14560

Step-by-step explanation:

First, we need to get the total tax paid by Malliki Williams

To get that, we have to multiply her income tax (28%) by total royalties ($48000)

28% of $48000 = $13440

Balance after tax = $48000 - $13440

Balance = $34560

She invested some of the balance ($34560) at the rate of

3.25% ---- First investment

1.75% --- Second investment

Assume her first investment is x dollars

Definitely, her second investment would be $34560 - x

3.25% of x + 1.75% (34560 - x ) = 904.8

0.0325x + 0.0175(34560-x) = 904.8 ----- Open the bracket

0.0325x + 604.8x - 0.0175x = 904.8 ------ Collect like terms

0.0325x -0.0175x =904.8 - 604.8

0.015x = 300 ------ Divide both sides by 0.015

x = 300/0.015

x = 20000

Remember that x represents her first investment

Her second investment is $34560 - $20000 =$14560

4 0

3 years ago

A 6-foot piece of ribbon costs $15.84. What is the price per inch?

sleet_krkn [62]

Answer:

$0.22/inch

Step-by-step explanation:

6 ft = 72 inches

15.84/72 =0.22

6 0

4 years ago

Read 2 more answers