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stiks02 [169]
3 years ago
10

How do I explain this?​

Mathematics
1 answer:
dybincka [34]3 years ago
5 0

Answer:

Step-by-step explanation:

To do this, we have to prove that ∠1=∠5. We can do this using the corresponding angles theorem, which states that these two angles are congruent. Since ∠G=∠1, we can say ∠G=∠1=∠5, and as this, ∠G=∠5

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6. Craig and James both live 4 miles up a hill. Craig hikes uphill at a rate of 1 mile every two hours.
Iteru [2.4K]

Answer:

James

Step-by-step explanation:

James rate:

2x + 2 = 4

2x = 2

x = 1 hour

Rate = distance/time = 4/1 = 4 miles per hour

Craig's rate = 1/2 = 0.5 miles per hour

James is faster

6 0
3 years ago
How much money does Conor earn each minute he does yard work, if he works 3.25 hours at $9 an hour?
LenaWriter [7]

Answer:

$2.76

Step-by-step explanation:

9/3.25=2.76

8 0
3 years ago
How can I can the Graphing the function
laiz [17]

in short, you simply pick a few random "x" values, to get the "y", and that's your point, for example say x = 2, then y = -(2)² - 4 => y = -8, that gives us the point of (2, -8), and so on.


we can start off by finding the vertex, the U-turn of the graph, and then just pick a point to its left side and a point to its right side, and we can get the vertex of that by


\bf y=-4x^2-4\implies y=-4x^2+0x-4 \\\\[-0.35em] ~\dotfill\\\\ \textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-4}x^2\stackrel{\stackrel{b}{\downarrow }}{+0}x\stackrel{\stackrel{c}{\downarrow }}{-4} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{0}{2(-4)}~,~-4-\cfrac{0}{4(-4)} \right)\implies (0~,~-4-0)\implies (0,-4)


and since it's a vertical parabola, the axis of symmetry comes from the x-coordinate of the vertex, namely x = 0, check the picture below.

6 0
3 years ago
Forty-four percent of customers who visit a department store make a purchase. What is the probability that in a random sample of
Charra [1.4K]

Answer:

A. .1070

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they make a purchase, or they do not. The probability of a customer making a purchase is independent from other customers. So 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.

Forty-four percent of customers who visit a department store make a purchase.

This means that p = 0.44

What is the probability that in a random sample of 9 customers who will visit this department store, exactly 6 will make a purchase?

This is P(X = 6) when n = 9. So

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

P(X = 6) = C_{9,6}.(0.44)^{6}.(0.56)^{3} = 0.1070

So the correct answer is:

A. .1070

8 0
3 years ago
Read 2 more answers
The flow rate of the gas pump is 2/3of a gallon in 1/9 of a minute,compute the unit rate
Eddi Din [679]

<u>Answer:</u>

The unit rate is 6 gallons per minute.

<u>Solution:</u>

Given, The flow rate of the gas pump is 2/3 of a gallon in 1/9 of a minute,

<u><em>We have to compute the unit rate? </em></u>

We know that, a unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity

Here first quantity is gas and the second quantity is time

\text { Now, unit rate }=\frac{\text { first quantity }}{\text { second quantity }}

=\frac{\frac{2}{3} \text { of gallons of gas }}{\frac{1}{9} \text { minute }}=\frac{\frac{2}{3}}{\frac{1}{9}}=\frac{2}{3} \times \frac{9}{1}=2 \times 3=6

Hence, the unit rate is 6 gallons per minute.

6 0
3 years ago
Read 2 more answers
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