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liq [111]
3 years ago
9

Suppose y varies directly with x, and y = 15 when x = 3. What is y when x = 12?

Mathematics
1 answer:
sveticcg [70]3 years ago
5 0

Answer:

y = 60 when x = 12

Step-by-step explanation:

Direct variation is

y = kx

15 = k3

Divide by 3

15/3 = k

5 =k

y = 5x

Let x = 12

y = 5*12

y = 60

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An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. Step 2 of 2 : S
ziro4ka [17]

Answer:

The 85% onfidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.151, 0.205).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

Sample of 421 new car buyers, 75 preferred foreign cars. So n = 421, \pi = \frac{75}{421} = 0.178

85% confidence level

So \alpha = 0.15, z is the value of Z that has a pvalue of 1 - \frac{0.15}{2} = 0.925, so Z = 1.44.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 - 1.44\sqrt{\frac{0.178*0.822}{421}} = 0.151

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 + 1.44\sqrt{\frac{0.178*0.822}{421}} = 0.205

The 85% onfidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.151, 0.205).

8 0
2 years ago
Use the distributive property to write an expression that is equivalent to: 3(x + 5)
lana [24]

Answer:

3x=15

Step-by-step explanation:

Here's what I found on google about the distributive property-

To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Now for the math-

3(x+5)

distribute the numbers-  3(x)+3(5)

solve-  3*5=15

3x+15

3 0
3 years ago
ANT
ExtremeBDS [4]

Answer:

Algebra Examples

Popular Problems Algebra Find the Axis of Symmetry f(x)=x^2-5 f(x)=x2−5 Set the polynomial equal to y to find the properties of the parabola. y=x2−5

Rewrite the equation in vertex form.

y=(x+0)2−5 Use the vertex form,  y=a(x−h)2+k, to determine the values of a, h, and k.a=1h=0k=−5

Since the value of a is positive, the parabola opens up.

Opens Up

Find the vertex

(h,k).(0,−5)

Find p, the distance from the vertex to the focus.

14 Find the focus.

(0,−194)

Find the axis of symmetry by finding the line that passes through the vertex and the focus.

x=0

3 0
2 years ago
Which expression best represents the sum of two consecutive integers?
xxMikexx [17]
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3 0
3 years ago
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7. David is having his birthday party at a water park. The park charges $150 plus $10 per guest. The total cost of the party y c
serious [3.7K]

Answer:

the slope represents 10 dollars for every guest where x = guest

Step-by-step explanation:

7 0
3 years ago
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