Write an absolute value inequality with a solid boundary that only has solutions below the x-axis

Angles R and Z are complementary. If m ∠R = 26˚, what is the measure of angle Z?

zysi [14]

Answer:

64

Step-by-step explanation:

(note:Two angles are called complementary when their measures add to 90 degrees.)

90-26=64

5 0

3 years ago

Read 2 more answers

What are FACTORS of a number?

kiruha [24]

factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12.

4 0

2 years ago

Read 2 more answers

Pat finds that the length of a ceiling beam is 114 inches what is the length of the beam in feet

lana [24]

114 inches/12= 9.5 feet

Hope that helps.

8 0

3 years ago

Lola measures three buttons for a shirt she is making. one button is 1/8 inch, one is 3/8 inch, and one is 1/4 inch. the button

den301095 [7]

Answer: The first and last button will fit through the button hole.

Step-by-step explanation:

since we have given that

Size of first button is given by

$\frac{1}{8}\ inch$

Size of second button is given by

$\frac{3}{8}\ inch$

Size of third button is given by

$\frac{1}{4}\ inch$

The size of hole of the shirt is given by

$\frac{2}{6}\ inch=\frac{1}{3}\ inch$

So, the size of button must be smaller than the size of hole in the shirt to get fit .

Since we first make the denominator same , as L.C.M. of all denominators i.e.(8,8,4,and 3) is 24

So, Size of first button is given by

$\frac{1}{8}\ inch=\frac{1\times 3}{8\times 3}=\frac{3}{24}\ inch$

Similarly, Size of second button is given by

$\frac{3}{8}\ inch=\frac{3\times 3}{8\times 3}=\frac{9}{24}\ inch$

Similarly, Size of third button is given by

$\frac{1}{4}\ inch=\frac{1\times 6}{4\times 6}=\frac{6}{24}\ inch$

And, The size of hole of the shirt is given by

$\frac{1}{3}\ inch=\frac{1\times 8}{3\times 8}=\frac{8}{24}$

As we can see that

$\frac{3}{24}$

Hence, the first and last button will fit through the button hole.

7 0

3 years ago

Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test; i.e., describe the values of th

Olegator [25]

Answer:

The critical value for this case can be calculated using the t distribution with 7 degrees of freedom and the critical value would be a value who accumulates 0.1 of the area in the right of the distribution and the best decision based on the possible options would be:

c). Reject H0 if test statistic is greater than 1.895.

Step-by-step explanation:

The system of hypothesis for this case are:

Null hypothesis: $\mu_d = 0$

Alternative hypothesis: $\mu_d >0$

The statistic for this case is given by:

$t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{3.125 -0}{\frac{2.911}{\sqrt{8}}}=3.04$

The degrees of freedom are given by:

$df=n-1=8-1=7$

The p value for this case can be calculated from this probability:

$p_v =P(t_{(7)}>3.4) =0.0057$

The critical value for this case can be calculated using the t distribution with 7 degrees of freedom and the critical value would be a value who accumulates 0.1 of the area in the right of the distribution and the best decision based on the possible options would be:

c). Reject H0 if test statistic is greater than 1.895.

4 0

3 years ago