If the angles in the figure are complementary, what is the value of x?

Which number line best represents he solution to the inequality -18x +3 <48?

Tanzania [10]

Answer: A

Step-by-step explanation:

Staar testtt

6 0

3 years ago

How is the number five and two hundred three thousandths written in standard form?

Andru [333]

Answer:

0.05203*10 to the power 2

Step-by-step explanation:

To get the standard form you divide a number in order to multiply it by a power of 10 to get the same number. So 5.203 in standard form is o.o5203 * 10 to the power 2. The 10 to the power 2 comes from the number of palces you move the comma/ decimal point to the left

HOPE IT HELPED

5 0

4 years ago

Read 2 more answers

Find the probability that the person is frequently or occasionally involved in charity work.

Schach [20]

Given the table below which shows the result of a survey that asked 2,881 people whether they are involved in any type of charity work.

$\begin{tabular}
{|c|c|c|c|c|c|}
 &Frequently&Occassionally&Not at all&Total\\[1ex]
Male&227&454&798&1,479\\
Female &205&450&747&1,402\\
Total&432&904&1,545&2,881
\end{tabular}$

Part A:

If a person is chosen at random, the probability that the person is frequently or occassinally involved in charity work is given by

$P(being \ frequently \ involved \ or \ being \ occassionally \ involved)\\ \\= \frac{432}{2881} + \frac{904}{2881} = \frac{1336}{2881}=\bold{0.464}$

Part B:

If a person is chosen at random, the probability that the person is female or not involved in charity work at all is given by

$P(being
 \ female \ or \ not \ being \ involved)\\ \\= 
\frac{1402}{2881} + \frac{1545}{2881}-\frac{747}{2881} = 
\frac{2200}{2881}=\bold{0.764}$

Part C:

If a person is chosen at random, the probability that the person is male or frequently involved in charity work is given by

$P(being
 \ male \ or \ being \ frequently \ involved)\\ \\= 
\frac{1479}{2881} + \frac{432}{2881}-\frac{227}{2881} = 
\frac{1684}{2881}=\bold{0.585}$

Part D:

If a person is chosen at random, the probability that the person is female or not frequently involved in charity work is given by

$P(being
 \ female \ or \ not \ being \ frequently \ involved)\\ \\= 
\frac{1402}{2881} + \frac{904}{2881} + \frac{1545}{2881}-\frac{450}{2881}-\frac{747}{2881} = 
\frac{2654}{2881}=\bold{0.921}$

Part E:

The events "being female" and "being frequently involved in charity work" are not mutually exclusive because being a female does not prevent a person from being frequently involved in charity work.

Indeed from the table, there are 205 females who are frequently involved in charity work.

Therefore, the answer to the question is "No, because 205 females are frequently involved charity work".

4 0

3 years ago

A zip line takes passengers on a 200 m ride from high up in the trees to a ground level platform. If the

attashe74 [19]

The zip line forms a right triangle with the tree, when elevated

The height of the tree is 35 meters

<h3>How to calculate the height of the tree</h3>

Represent the height of the tree with h.

So, the height h is calculated using the following sine function

$\sin(10) = \frac{h}{200}$

Make h the subject

h = 200 * sin(10)

Evaluate the product

h = 35 meters

Hence, the height of the tree is 35 meters