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3 years ago

PLEASE HELP ME I WILL MARK TOU JT YOU HELP ME!!!

Mathematics

1 answer:

Elden [556K]3 years ago

3 0

Given:

The figure of a construction.

To find:

The correct option that represents the given construction.

Solution:

In the given figure, the given angle is angle CAB.

The steps for the given figure are:

1. Draw a ray PQ.

2. Mark an arc BC on the given angle and mark the same arc on the line and the intersection of line and arc is point Q.

3. Set the compass of the length BA.

4. Put the compass on the point Q mark arc that intersect the first arc. The intersection of arcs is R.

5. Draw a ray PR.

These are the steps of construction to copy an angle.

Therefore, the correct option is A.

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Eight percent of all college graduates hired by companies stay with the same company for more than five years. The probability,

Maurinko [17]

Answer:

0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years

Step-by-step explanation:

For each graduate, there are only two possible outcomes. Either they stay for the same company for more than five years, or they do not. Graduates are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Eight percent of all college graduates hired by companies stay with the same company for more than five years.

This means that $p = 0.08$

Sample of 11 college graduates:

This means that $n = 11$

The probability, rounded to four decimal places, that in a random sample of 11 such college graduates hired recently by companies, exactly 2 will stay with the same company for more than five years is: the absolute tolerance is +-0.0001

The tolerance means that the answer is rounded to four decimal places.

The probability is P(X = 2). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{11,2}.(0.08)^{2}.(0.92)^{11} = 0.1662$

0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years

4 0

3 years ago

Please solve this problem, I have no idea with it

lord [1]

Answer:

(x-3)(x-6)

Step-by-step explanation:

Fill in g into f and simplify:

(x-2)²-5(x-2)+4 =

x² - 4x + 4 - 5x + 10 + 4 =

x² - 9x + 18 =

(x-3)(x-6)

4 0

3 years ago

How many cups = to 56 ounces

Stells [14]

1 ounce = 0.125 cups

Multiply:

56 * 0.125 = 7

So there are 7 cups in 56 ounces.

6 0

3 years ago

Help meeee please eeee

Sphinxa [80]

Answer:

112 ft³

Step-by-step explanation:

→ Length (l) = 7 ft

→ Breadth (b) = 4 ft

→ Height (h) = 4 ft

Formula we use,

→ l × b × h

The volume of cuboid will be,

→ l × b × h

→ 7 × 4 × 4

→ [ 112 ft³ ]

Hence, the volume is 112 ft³.

8 0

2 years ago

A sample of 8 pieces of data is collected and we wish to perform the level test vs. . The population standard deviation is known

Sphinxa [80]

Answer:

0.0009

Step-by-step explanation:

$\mu=4$

$\sigma=0.55$

n = 8

This is the left tailed test .

The null and alternative hypothesis is ,

$H_0:\mu=4$

$Ha:\mu$

Test statistic = z=-3.12 from the table.

P(z <-3.12 ) = 0.0009

P-value =0.0009

4 0

3 years ago