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3 years ago

15 is 10% of what number

Mathematics

2 answers:

Mars2501 [29]3 years ago

6 0

15 is just 10% of a number. 10% is 1/10 of a hundred percent, so to find the 100%, multiply 15 by 10 and get: 150

aleksley [76]3 years ago

6 0

150. It is 150 because you take 150 divided by 100 equal 1.5 and then you times it by ten and it is 15.

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A 4-foot tall person standing with her back to the sun casts an 6-foot long shadow.

e-lub [12.9K]

Answer: $\alpha=34\°$

Step-by-step explanation:

1. Based on the information given in the problem, you can draw the right triangle shown in the figure attached.

2. Keeping the informationn given in the problem, you can calculate the angle that the sum makes with the ground ( $\alpha$ )as you can see below:

$arctan\alpha=\frac{opposite}{adjacent}$

Where:

$opposite=4\\adjacent=6$

3. Then:

$arctan\alpha=\frac{4}{6}$

$\alpha=34\°$

7 0

3 years ago

Read 2 more answers

Help please! show work thanks

Andre45 [30]

Answers
b = 2.77 m
A = 43.0°
C = 111.1°

cosine law to find b

$b^2 = a^2 + c^2 -2ac \cos B \\ \\
b = \sqrt{a^2 + c^2 -2ac \cos B} \\ \\
b = \sqrt{4.33^2 + 5.92^2 - 2(4.33)(5.92) \cos 25.9} \\
b = 2.7708\ m$

b = 2.7708\ m

Find angle A with sine law

$\displaystyle
\frac{\sin A}{a} = \frac{\sin B}{b} \\ \\
\sin A = \frac{a \sin B}{b} \\ \\
A = \sin^{-1} \left[ \frac{a \sin B}{b} \right] \\ \\
A = \sin^{-1} \left[ \frac{4.33 \sin 25.9}{2.7708} \right] \\ \\
A = 43.0467020$

Find C with angles in triangle sum to 180

A + B + C = 180
C = 180 - A - B
C = 180 - 43.0467020 - 25.9
C = 111.1

6 0

4 years ago

A company makes a $5 profit on each non-faulty product it sells. Approximately 2% of the products manufactured are faulty.

galben [10]

Step-by-step answer:

The steps are much easier to follow when we know how many product it sells. The number does not really matter, because we need the profit per item.

Say, the company made and sold 100 items of the product.

The revenue = 100*5 = $500.

On the average, 2 out of 100 are defective and need to be replaced at a cost of $100 each, so

replacement cost = 2* 100 = 200

So net profit for 100 items = $500 -$200 = $300

Net profit for each item = $300/100 = $3.00

Remark: since the product is replaced, no refund is necessary, so revenue stays at $300.

7 0

3 years ago

How does Elian's drawing show that the number 10 is a composite number?

kumpel [21]

It shows that there is only one way to get to 10 which is by multiplying it by 1

6 0

3 years ago

A policyholder has probability 0.7 of having no claims, 0.2 of having exactly one claim, and 0.1 of having exactly two claims. C

Sladkaya [172]

Answer:

0.89.

Step-by-step explanation:

So, we are given the following data or parameters or information which is going to aid in the solution to this question or problem. So, the data or parameters are;

(1). "probability 0.7 of having no claims, 0.2 of having exactly one claim, and 0.1 of having exactly two claims."

(2). " distributed on the interval [0,60] and are independent."

(3). "The insurer covers 100% of each claim."

So, taking (1) above we will have;

(Total probability= 0.7 + 0.2 + 0.1 = 0.1)

A = { (0.7 × 0)^2 + (0.2 × 1)^2 + ( 0.1 × 2)^2 =( 0.4) +( 0.4) = 0.8.

0.8 + total probability = 0.8 + 0.1 = 0.9.

So, from the question, we are to "Calculate the probability that the total beneﬁt paid to the policyholder is 48 or less."

Hence, P< 48/A = P < 48/0.9 = P < 53.33.

Thus, 53.33/60 = 0.89.

6 0

3 years ago