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3 years ago

Help ! ASAP doing an exam

Mathematics

1 answer:

Alona [7]3 years ago

8 0

Answer:

ok ill explain if want after test

Step-by-step explanation:

angle 2 and 4 are 50

angle 1 and 3 are 130

angle 5 and 7 are 50

angle 8 and 5 are 130

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A supplier delivers an order for 20 electric toothbrushes to a store. By accident, three of the electric toothbrushes are defect

krek1111 [17]

Answer:

The probability that the first two electric toothbrushes sold are defective is 0.016.

Step-by-step explanation:

The probability of an event, say E occurring is:

$P (E)=\frac{n(E)}{N}$

Here,

n (E) = favorable outcomes

N = total number of outcomes

Let X = number of defective electric toothbrushes sold.

The number of electric toothbrushes that were delivered to a store is, n = 20.

Number of defective electric toothbrushes is, x = 3.

The number of ways to select two toothbrushes to sell from the 20 toothbrushes is:

${20\choose 2}=\frac{20!}{2!(20-2)!}=\frac{20!}{2!\times 18!}=\frac{20\times 19\times 18!}{2!\times 18!}=190$

The number of ways to select two defective toothbrushes to sell from the 3 defective toothbrushes is:

${3\choose 2}=\frac{3!}{2!(3-2)!}=\frac{3!}{2!\times 1!}=3$

Compute the probability that the first two electric toothbrushes sold are defective as follows:

P (Selling 2 defective toothbrushes) = Favorable outcomes ÷ Total no. of outcomes

$=\frac{3}{190}\\$

$=0.01579\\\approx0.016$

Thus, the probability that the first two electric toothbrushes sold are defective is 0.016.

8 0

3 years ago

A pizza was divided into fourths.Jack ate 1/2 of one of the fourths what part of the pizza did he eat?

Virty [35]

He ate 1/8 of the pizza

7 0

3 years ago

Read 2 more answers

Variable y varies directly with variable x, and y = 45 when x = 9.

Alenkasestr [34]

Direct variation means their ratio is a constant
x/y is 9/45=1/5
so when x=2, y=5*2=10

4 0

3 years ago

Please help thanks so much

Umnica [9.8K]

The formula for the volume of a sphere is the following:

$V= \dfrac{4}{3} \pi r^3$

Plug in V=5000π and solve for the radius.

$5000 \pi = \dfrac{4}{3} \pi r^3$

Divide both sides by $\pi$

$5000 = \dfrac{4}{3} r^3$

Multiply both sides by 3/4 (to eliminate the 4/3 on the right side)
Also, flip the equation so we have the unknown variable on the left side (math etiquette).

$r^3=3750$

Take the cube root of both sides

$r \approx 15.5$

Now, calculate the surface area since now we know the radius.
The formula for the surface area is the following:

$S=4 \pi r^2$

Plug in r=15.5

$S \approx 3033$

The second choice is your answer.

5 0

3 years ago

Leslie tunes musical instruments. Leslie tuned a guitar with 6 strings today. Then she tuned a piano with 37 times as many strin

e-lub [12.9K]

Answer: The piano has 222 strings, because 37×6=222.

Step-by-step explanation:

Since we are informed that Leslie tuned a guitar with 6 strings today and that she then tuned a piano with 37 times as many strings.

This simply means that we have to multiply 37 by 6 strings to get the value of the strings of the piano that she tuned. This will be:

= 6 × 37

= 222 strings.

Leslie tuned 222 strings.

Therefore, the piano has 222 strings, because 37×6=222.

8 0

3 years ago