i need help finding what 13.2 divided by 0.006 is with work also it is long division this is 6th grade work!

At basketball practice, you made 59 out of 80 shots. Which choice is closest to the percentage of shots you made?

hoa [83]

$\frac{59}{80} \times 100\%=\frac{5900}{80} \%=\frac{295}{4} \%=73 \frac{3}{4}\% \approx \boxed{75\%}$

7 0

3 years ago

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1. Find the slope of the line passing through (-3,-4) and (-6,-2).

r-ruslan [8.4K]

Answer:

slope = - $\frac{2}{3}$

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 3, - 4) and (x₂, y₂ ) = (- 6, - 2)

m = $\frac{-2+4}{-6+3}$ = $\frac{2}{-3}$ = - $\frac{2}{3}$

8 0

4 years ago

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For a crane to lift the beam shown to the right, the beam and the two support cables must form an isosceles triangle with heigh

Fittoniya [83]

Answer:

The total length of the two cables is $2\sqrt{145}\ units$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In the right triangle ABD

Applying the Pythagoras Theorem

$AB^{2}=BD^{2}+AD^{2}$

substitute the given values

$AB^{2}=9^{2}+8^{2}$

$AB^{2}=145$

$AB=\sqrt{145}\ units$

Remember that

AB=AC ----> because ABC is an isosceles triangle

so

The total length of the two cables is equal to

$AB+AC=2AB=2\sqrt{145}\ units$

3 0

3 years ago

Qualification exams for becoming a state-certified welding inspector are based on multiple-choice tests. As in any multiple-choi

erik [133]

Answer:

(a) The probability distribution of the random variable X is Binomial.

(b) The mean and standard deviation of the 25-question test are 5 and 2 respectively.

(c) The value of x is 0.34.

Step-by-step explanation:

The random variable X is defined as the number of correct answers given by a person who is guessing each answer on a 25-question exam.

There are five possible answer for every question.

This implies that the probability of getting a correct answer is:

P (X) = 0.20.

There are a total of n = 25 questions.

Every answer is independent of the others.

(a)

The random variable X has finite number of independent trials (i.e. 25 questions). There are only two outcomes for each trial, i.e. Success = correct answer and Failure = wrong answer. Each trial has the same probability of success (, i.e. P (X) = 0.25).

Thus, the probability distribution of the random variable X is Binomial with parameters n = 25 and p = 0.20.

(b)

Compute the mean of the random variable X as follows:

$E(X)=np\\=25\times 0.20\\=5$

Compute the standard deviation of the random variable X as follows:

$SD(X)=\sqrt{np(1-p)}\\=\sqrt{25\times 0.20\times (1-0.20)}\\=2$

Thus, the mean and standard deviation of the 25-question test are 5 and 2 respectively.

(c)

The sample is large and the probability of success is close to 0.50.

So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:

1. np ≥ 5

2. n(1 - p) ≥ 5

Check the conditions as follows:

$np=25\times 0.20=5=5\\\\n(1-p)=25\times (1-0.20)=20>5$

Thus, a Normal approximation to binomial can be applied.

So, $X\sim N(5, 2^{2})$

It is provided that the minimum passing score foe the test is such that only 1% of students who are guessing will pass the test.

That is P (X < x) = 0.01.

⇒ P (Z < z) = 0.01

The value of z is -2.33.

Compute the value of x as follows:

$z=\frac{x-\mu}{\sigma}\\\\-2.33=\frac{x-5}{2}\\\\x=5-(2.33\times 2)\\\\x=0.34$

Thus, the value of x is 0.34.

4 0

4 years ago

What is the main difference between simplifying and solving? Which one gives you a value for a variable? How do you know the dif

disa [49]

Answer:

when you simplify you continue until you get to the simplest form but when you solve you continue until you get an answer. Solving gives you a value for a variable. You mean simplify and get 2x - 10 but when you solve you continue until you get x as 5

Step-by-step explanation:

8 0

3 years ago

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