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anzhelika [568]

3 years ago

9

rodeney is burning a music CD . The CD holds at most 90 minutes of music . Rodney has already selected 55 minutes of music . wri

te and solve inequality to find how many more minutes of music Rodney can select

1 answer:

lukranit [14]3 years ago

4 0

55-90=35 theres your answer... its suspicious they give easy answers in middle school u sure thats the question?

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A group of statistics students decided to conduct a survey at their university to find the average (mean) amount of time student

Butoxors [25]

Answer: $(21.541,\ 23.059)$

Step-by-step explanation:

The confidence interval for population mean is given by :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

Given : Sample size : $n=240$ , which is a large sample , so we apply z-test .

Sample mean : $\overline{x}=22.3$

Standard deviation : $\sigma= 6$

Significance level : $\alpha=1-0.95=0.05$

Critical value : $z_{\alpha/2}=1.960$

Now, a confidence interval at the 95% level of confidence will be :-

$22.3\pm(1.960)\dfrac{6}{\sqrt{240}}\\\\\approx22.3\pm0.759\\\\=(22.3-0.759,\ 22.3+0.759)\\\\=(21.541,\ 23.059)$

7 0

3 years ago

Volume of a cone = r²h,

inessss [21]

Answer:

7.5 m 457.5 $\pi$ $m^{2}$

Step-by-step explanation:

First, visualize the original cone and the smaller cone as overlapping similar triangles. The scale factor of the original cone to the smaller cone is 50:40, so if the smaller cone has a radius of 6 m, then the radius of the original cone would be 7.5 m.

The volume of the frustum is the volume of the original cone minus the volume of the smaller cone. The formula for the volume of a cone is V = $\frac{1}{3} \pi r^{2}h$ .

Original Cone = $\frac{1}{3} \pi r^{2}h$ = $\frac{1}{3} \pi *7.5^{2}*50$ = 937.5 $\pi$

Smaller Cone = $\frac{1}{3} \pi r^{2}h$ = $\frac{1}{3} \pi *6^{2}*40$ = 480 $\pi$

Frustum = 937.5 $\pi$ - 480 $\pi$ = 457.5 $\pi$

6 0

1 year ago

Would like to know what I am doing wrong and have an answer

Paul [167]

A can is a cylinder shape.

Volume of a cylinder = PI x r^2 X h

r is the radius and h is the height.

The diameter is given as 3.8, the radius is half that: 3.8 /2 = 1.9

Height is given as 6.5

Volume = 3.14 x 1.9^2 x 6.

Volume = 73.6801 cubic inches.

Rounded to the nearest tenth = 73.7 cubic inches.

4 0

2 years ago

Chris rents a car for a total of £375 The rental charges are £150 for the first day and £75 per day after that. For how many day

valkas [14]

Answer:

4 days in total

Step-by-step explanation:

3 0

2 years ago

If angle pqt is (3x+47)and angle sqr is (6x-25), find the measure of angle sqr

Radda [10]

Answer:

Angle sqr = 119°

Step-by-step explanation:

In the above question, we are given:

angle pqt is (3x+47)°

angle sqr is (6x-25)°

Angle pqt = Angle sat

We solve for x

3x + 47 = 6x - 25

Collect like terms

47 + 25 = 6x - 3x

72 = 3x

x = 72/3

x = 24

We solve for the measure of angle sqr

Angle sqr = (6x - 25)

x = 24

6 × 24 - 25

144 - 25

= 119°

5 0

2 years ago