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4 years ago

14

Quentin buys a model car every year. The first time he bought a model car, in Year 0, it cost $19.40. He notices the price is ge

tting more expensive, at a rate of 1.5% per year.
Quentin sketches a graph of the situation.

Which statement is true?

A.The point (4, 20.29) is on the graph.

B.The graph increases from left to right.

C.The point (2, 19.69) is on the graph.

D.The graph decreases from left to right.

1 answer:

vitfil [10]4 years ago

6 0

Answer: the graph increases from left to right, since the price goes up. If you were to actually graph this, the years would be on the bottom and the price would be on the left side, so since the price is going up, so is the graph. :)

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The latest poll from ESPN asked fans what their favorite sport was, considering pro, college and highschool levels. Out of 1000

shepuryov [24]

Answer:

Confidence interval is $0.2911$

Step-by-step explanation:

Given that 32% of fans sport is basketball as favorite sport. So total number of fans is,

$32\%\times 1000$

$= \dfrac{32}{100}\times 1000$

$=320$

So 320 fans favorite sport is basket ball.

Now find sample proportion ,

$\widehat{p}=\dfrac{number\:of\:people\:in\:the\:sample}{total\:number\:of\:people}$

Substituting the value,

$\widehat{p}=\dfrac{320}{1000}$

$\widehat{p}=0.320$

Formula for confidence interval is,

$CI=\widehat{p}\pm z\sqrt{\dfrac{\widehat{p}\left (1-\widehat{p}\right )}{n}}$

To calculate the z value.

$Confidence Level=1-\alpha$

$0.95=1-\alpha$

$0.05=\alpha$

Now divide above value by 2,

$\dfrac{0.05}{2}=\dfrac{\alpha}{2}$

$0.025=\dfrac{\alpha}{2}$

To find the value of z score calculate the area under the curve as follows

$A=\dfrac{1+CL}{2}$

$A=\dfrac{1+0.95}{2}$

$A=\dfrac{1.95}{2}$

$A=0.975$

On z table, find the value of 0.975. So the row corresponding to 0.975 is 1.9 and column corresponding to 0.975 is 0.06. Adding these two values the z score is 1.96.

or find the value from excel by using command as follows,

=NORM.S.INV(0.025)= -1.959963985

Now substituting the value,

$CI=0.320\pm 1.96\sqrt{\dfrac{0.320\left (1-0.320\right )}{1000}}$

$CI=0.320\pm 0.02891$

Lower end of the interval is,

$CI=0.320- 0.02891$

$CI=0.2911$

Upper end of the interval is,

$CI=0.320+ 0.02891$

$CI=0.3489$

Therefore 95% confidence interval is $0.2911$

7 0

3 years ago

Find the area of a kite with diagonals 15 m and 7 m.

lozanna [386]

Answer:

<h2>A = 52.5 m²</h2>

Step-by-step explanation:

The formula of an area of a kite:

$A=\dfrac{e\cdot f}{2}$

<em>e, f</em><em> - diagonals</em>

<em />

We have <em>e = 15m, f = 7m.</em>

Substitute:

$A=\dfraC{(15)(7)}{2}=\dfrac{105}{2}=52.5\ m^2$

3 0

3 years ago

Dwayne got a raise, and his hourly wage increased from $12 to $15. What is the percent of change?

KiRa [710]

Answer:

B

Step-by-step explanation:

The pay increases, so it clearly cannot be C or D, and 25% of 12 is 3 because 12/4 = 3, so it would have to be B.

7 0

3 years ago

Read 2 more answers

Please help me thanks please

Harman [31]

Answer:

Radius: 18

Area of Circle: 1017 or 1018(depends on whether you used the pi function or 3.14)

Step-by-step explanation:

Formula for the circumference and area:

C= 2πr

A= πr^2

6 0

3 years ago

Read 2 more answers

Solve 15 ≥ -3x or x ≥ -2.

vivado [14]

Answer:

x ≥ - 2.

Step-by-step explanation:

We have to solve the compound inequality.

It is 15 ≥ - 3x or x ≥ - 2

Now, from the first part we have

15 ≥ -3x

⇒ $-\frac{1}{3} \times 15 \leq -\frac{1}{3}(- 3x)$

⇒ - 5 ≤ x

⇒ x ≥ - 5 ....... (1)

And the second part is x ≥ -2 ......... (2)

Therefore, the conditions (1) and (2) will both be true if x ≥ - 2.

Hence, this is the solution. (Answer)

4 0

3 years ago