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2 years ago

This question on math and needs to be written a proportion

Mathematics

2 answers:

SashulF [63]2 years ago

5 0

Answer:

104/4 78/g

Step-by-step explanation

You need to find you y value, place it on top of your fraction, then find your x value to place on bottom, thats on your first column row which will mean its 104 miles ran and 4 gallons used, thats trip 1. You need to do the same for trip #2 and then solve your proportion to find the answer. proportion: \frac{104}{4} \frac{78{g}

guapka [62]2 years ago

4 0

Answer:

g = 3

Step-by-step explanation:

miles / gallon = miles / gallon

104 / 4 = 78 / g

cross-multiply to solve for 'g':

78(4) = 104g

312 = 104g

312/104 = g

3 = g

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At Billy's school, 80 students come to school by bicycle or by car. Together, the vehicles they arrive to school in have 270 whe

Anna35 [415]

Answer:

x = number of bicycles = 35

y = number of cars = 55

Step-by-step explanation:

Let

x = number of bicycles

y = number of cars

x + y = 80 (1)

2x + 4y = 270 (2)

From (1)

x = 80 - y

Substitute x = 80 - y into (2)

2x + 4y = 270 (2)

2(80 - y) + 4y = 270

160 - 2y + 4y = 270

- 2y + 4y = 270 - 160

2y = 110

y = 110/2

y = 55

Substitute y = 55 into (1)

x + y = 80 (1)

x + 55 = 80

x = 80 - 55

x = 35

x = number of bicycles = 35

y = number of cars = 55

6 0

2 years ago

In a standard normal distribution, what z value corresponds to 17% of the data between the mean and the z value?

hjlf

You're looking for a value $z$ such that

$\mathbb P(0$

Because the distribution is symmetric, the value of $z$ in either case will be the same.

Now, because the distribution is continuous, you have that

$0.17=\mathbb P(0$

The mean for the standard normal distribution is $0$ , and because the distribution is symmetric about its mean, it follows that $\mathbb P(Z$ .

$0.17=\mathbb P(Z$

You can consult a $z$ score table to find the corresponding score for this probability. It turns out to be $z\approx0.4399$ .