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tiny-mole [99]
3 years ago
7

Need help help on this question

Mathematics
1 answer:
balu736 [363]3 years ago
6 0

Answer:70

Step-by-step explanation:

step 1:add up the angles you know

step 2:subtract the answer (220) from the total angle measure of a square which is 360 then you get 140

step 3: divide 140 by 2 because the two angles on the sides are equivalent and you get 70

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If the fuel tank in Jim's car holds 14 gallons of fuel, define a formula to determine the number of gallons of fuel in Jim's fue
salantis [7]

Considering that the car does 50 miles per gallon, the linear function for the number of gallons of fuel in Jim's fuel tank, n, in terms of the number of miles x that Jim has driven since filling his tank is given by:

y = -0.02x + 14

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

In this problem:

  • Jim's car holds 14 gallons of fuel, hence b = 14.
  • Considering it does 50 miles per gallon, and the amount in the tank will decrease, the slope is m = -\frac{1}{50} = -0.02.

Hence, the function is:

y = -0.02x + 14

You can learn more about linear functions at brainly.com/question/25898120

5 0
3 years ago
The probability a randomly selected household owns corporate stock is 0.54. The probability a randomly selected household has no
34kurt

Answer:

30% probability a randomly selected household has no Internet access given the household owns corporate stock

Step-by-step explanation:

I am going to say that we have two events.

Event A: Owning corporate stock. So P(A) = 0.54.

Event B: Having no internet access. So P(B) = 0.3.

Since they are independent events, we can apply the conditional probability formula, which is:

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probabilitty of event B happening given that A happened. We want to find this.

P(A \cap B) is the probability of both events happening.

Since they are independent

P(A \cap B) = P(A)P(B) = 0.54*0.3

So

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.54*0.3}{0.54} = 0.3

30% probability a randomly selected household has no Internet access given the household owns corporate stock

8 0
3 years ago
If j = 10 cm and k = 12.5 cm what is the length of l
leonid [27]

Answer:

22.5

Step-by-step explanation:

3 0
3 years ago
What is the value of 2c + d² - 3e + 4f when c = 3, d = 5, e = 6, and f = 1?
Andrej [43]

Answer:

17

Step-by-step explanation:

2c + d^3 - 3e +4f

=2(3) + (5^2) - 3(6) + 4(1)

=6+25-18+4

=17

5 0
3 years ago
The least-squares regression line is_____________. A. the line that passes through the most data points.B. the line that makes t
Elanso [62]

Answer:

<h3>The option B) is correct.</h3><h3>That is the line that makes the sum of the squares of the vertical distances of the data points from the line (the sum of squared residuals) as small as possible is correct answer</h3>

Step-by-step explanation:

Given that " The least-squares regression line "

The least-squares regression line is <u>the line that makes the sum of the squares of the vertical distances of the data points from the line (the sum of squared residuals) as small as possible.</u>

Therefore option B) is correct

3 0
3 years ago
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