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3 years ago

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Which expression is equivalent to 5(2+7)? 0 205+7) O2+7(5) 05(2)+7 05(2)+5(7)

1 answer:

Alex Ar [27]3 years ago

4 0

Answer:

4

5(2)+5(7)

Step-by-step explanation:

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Need help: write the expression in a complete factored form: x²-9x+xy-9y

Galina-37 [17]

Factor this by grouping. Group the first two terms together and then the second 2 terms together. The idea here is that, after grouping, what you can pull out in both groups is the same. Like this:
$( x^{2} -9x)+(xy-9y)$
Now work on finding a common thing between the 2 groups:
$x(x-9)+y(x-9)$
See, what you have in common there now is the (x-9) that you can factor out:
$(x-9)(x+y)$
And that is factored completely.

4 0

4 years ago

John stands 150 meters from a water tower and sights the top at an angle of elevation of 36º. If John's eyes are 2 meters above

horsena [70]

Answer:

The height of tower $DB=111\ meters$ .

Step-by-step explanation:

Diagram of the given scenario is shown below.

Given that,

Distance between John and tower is $CE=150 \ meters$ .

Angle of elevation to the top of the tower is $\angle DEC=36$ °.

Height of John is $CB=2\ meters$ .

To Find: Height of the tower $DB$ .

So,

In triangle ΔDCE,

$Tan$ (∠ $DEC)= \frac{DC}{CE}$

$Tan (36)= \frac{DC}{150}$

$DC= tan(36)\times 150$

$DC=108.98\ meters$

Now,

To calculate the height of tower we have

$DB=DC+CB$

$DB=108.98+2$

$DB=110.98\ meters$ ≈ $111 \ meters$

Therefore,

The height of tower $DB=111\ meters$ .

6 0

3 years ago

U 1995, 70% of all children in the U.S. were living with both parents. If 25 children were selected at random in the U.S., what

nikdorinn [45]

<u>Answer:</u>

The probability that at most 10 of them will be living with both of their parents is 0.0018

<u>Solution:</u>

Given, US 1995, 70% of all children in the U.S. were living with both parents. 25 children were selected at random in the U.S.,

We have to find what is the probability that at most 10 of them will be living with both of their parents?

Now, number of children picked (n) = 25.

Probability to be with parents = 70% = 0.7.

Our condition is 0 ≤ x ≤ 10.

Then, we have to calculate p(0 ≤ x ≤ 10).

We can calculate using binomial cumulative distribution frequency- binomial CDF

Now, p(0 ≤ x ≤ 10) = binomcdf(n, p, x) = binomcdf(25, 0.7, 10) = 0.00177840 ≈ 0.0018.

Hence, the probability is 0.0018

6 0

3 years ago

What’s the correct answer

tamaranim1 [39]

The correct answer might be A

5 0

4 years ago

Help. I will give brainliest if correct. <br> A. -4/3<br> B. -3/4<br> C. 10/17<br> D. 17/10

mel-nik [20]

The correct option is option B.

The common difference between given data is -3/4.

<h3>What is Sequence?</h3>

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

Here, given points;

x₁ = 1 , x₂ = 2 and y₁ = -3.75 , y₂ = -4.5

Now,

d = (y₂ - y₁)/(x₂-x₁)

d = (-4.5 - (-3.75))/(2 - 1)

d = -0.75 / 1

d = - 75/100

d = -3/4

Thus, The correct option is option B. The common difference between given data is -3/4.

Learn more about Sequence from:

brainly.com/question/21961097

#SPJ1

4 0

2 years ago