+3(2x + 1) « 2(5.3x)

Margarita [4]

1) Let, the number of movies = m
It would be: 40 + 2n = 100

2) solving the equation:
40 + 2n = 100
2n = 100 - 40
n = 60/2
n = 30

In short, Your Answer would be 30

Hope this helps!

5 0

3 years ago

A recent survey of 51 students reported that the average amount of time they spent listening to music was 11.5 hours per week, w

charle [14.2K]

Answer:

90% confidence interval for the mean time per week spent listening to the radio is $11.5 \pm 1.676 \times \frac{9.2}{\sqrt{51} }$ .

Step-by-step explanation:

We are given that a recent survey of 51 students reported that the average amount of time they spent listening to music was 11.5 hours per week, with a sample standard deviation of 9.2 hours.

Firstly, the pivotal quantity for 90% confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average amount of time spent listening to music = 11.5

s = sample standard deviation = 9.2 hours

n = sample of students = 51

$\mu$ = population mean per week spent listening to the radio

Here for constructing 90% confidence interval we have used One-sample t test statistics as we know don't about population standard deviation.

So, 90% confidence interval for the population mean, $\mu$ is ;

P(-1.676 < $t_5_0$ < 1.676) = 0.90 {As the critical value of t at 50 degree of

freedom are -1.676 & 1.676 with P = 5%}

P(-1.676 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 1.676) = 0.90

P( $-1.676 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $1.676 \times {\frac{s}{\sqrt{n} } }$ ) = 0.90

P( $\bar X-1.676 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.676 \times {\frac{s}{\sqrt{n} } }$ ) = 0.90

90% confidence interval for $\mu$ = [ $\bar X-1.676 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+1.676 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $11.5-1.676 \times {\frac{9.2}{\sqrt{51} } }$ , $11.5+1.676 \times {\frac{9.2}{\sqrt{51} } }$ ]

= [9.34 hours , 13.66 hours]

Therefore, 90% confidence interval for the mean time per week spent listening to the radio is [9.34 hours , 13.66 hours].

4 0

3 years ago

A.(3x^2-5x+4)2x^2 b.(2x-y)(3x^2+y^2+4xy)

andre [41]

Answer:

Sarika why (3 x square - 5 x + 4) close to x through the answer is that it was present that answer is total answer is total answer is total answer is giving after the answer is 30 saved why because you will do divide first then you are saying ok second 2 x minus y bracket close 3 X 2 + 22 x 4 x 5 FIR Aisa Sohail Kuchh Bhi Nahin Hai Mere Ko To Sare Walaikum and don't forget to

7 0

3 years ago

Please help :(... I really need it

Crank

-5, 50
Explaination: that is the point they connect.

5 0

3 years ago

To determine whether a graph of a relation is also a function, Shayla declares that the y-axis is a vertical line and counts the

atroni [7]

Answer: Choice B

No, because using the y-axis tests only whether x = 0 is mapped to multiple values.

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Further Explanation:

Shayla stating that the y axis being used to conduct a vertical line test is part of the process. But she needs to move the vertical line around and not have it fixed in place.

If it is possible to have a vertical line (on the y axis or not) pass through more than one point on the curve, then we don't have a function. It is said the curve fails the vertical line test.

Otherwise, the graph passes the vertical line test and we have a function.

3 0

2 years ago