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2 years ago

5

you have piano lessons every 7 days and tuba lessons every 3 days. Today you have both lessons. Not counting today or the day wh

en you have the same lesson again, how many piano lessons will you have in between? how many tuba lessons will you have in between?

1 answer:

Neporo4naja [7]2 years ago

4 0

You will have 2 piano lessons and 6 tuba lessons

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allochka39001 [22]

Answer:

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1 year ago

A camping leader bought the items listed in the table for his team. What is the average cost of an item in his purchase?

Rudik [331]

The right answer is Option D: $5.44

Step-by-step explanation:

Given,

Cost of one sun visor = $6.25

Cost of 11 sun visors = 6.25*11 = $68.75

Cost of one sunglasses = $8.90

Cost of 4 sunglasses = 8.90*4 = $35.60

Cost of one water bottle = $9.50

Cost of 8 water bottles = 9.50*8 = $76

Cost of one whistle = $1.75

Cost of 15 whistles = 1.75*15 = $26.25

Total number of items = 11+4+8+15 = 38

Total cost of items = 68.75+35.60+76+26.25 = $206.60

Average = $\frac{Sum\ of\ prices}{No.\ of\ items}$

$Average=\frac{206.60}{38}\\Average=\$5.436$

Rounding off to nearest hundredth

Average = $5.44

The average price of an item is $5.44

The right answer is Option D: $5.44

Keywords: average, sum

Learn more about averages at:

#LearnwithBrainly

7 0

2 years ago

Evaluate the geometric series:<br> a1= 4, r = 3, n= 10

Brilliant_brown [7]

Answer:78732

Step-by-step explanation:

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1 year ago

The United States ranks ninth in the world in per capita chocolate consumption; Forbes reports that the average American eats 9.

schepotkina [342]

Answer:

There is enough evidence to conclude that mean annual consumption of chocolate is higher in Hershey than it is throughout the United States.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 9.5 pounds

Sample mean, $\bar{x}$ = 10.05 pounds

Sample size, n = 36

Alpha, α = 0.05

Sample standard deviation, s = 1.5 pounds

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 9.5\text{ pounds}\\H_A: \mu > 9.5\text{ pounds}$

We use one-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{10.05 - 9.5}{\frac{1.5}{\sqrt{36}} } = 2.2$

Now, $t_{critical} \text{ at 0.05 level of significance, 35 degree of freedom } = 1.6895$

Since,

The calculated t statistic is greater that critical t value, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis

Thus, there is enough evidence to conclude that mean annual consumption of chocolate is higher in Hershey than it is throughout the United States.

6 0

1 year ago

Correct answers only!! Circle P is described by the equation (×+4)^2 + (y+7)^2 = 16 and circle Q is described by the equation (x

marishachu [46]

Answer:

Circle Q is<u> 2 </u>units to the<u> right </u>of circle P and<u> 10 </u>units<u> above </u>it. Circle Q has a<u> longer </u>radius than circle P.

Step-by-step explanation:

A circle with center (h, k) and radius r has equation ...

(x -h)^2 +(y -k)^2 = r^2

Your circles have the following center and radius:

circle P: center (-4, -7), radius 4
circle Q: center (-2, 3), radius 5

Then the appropriate comparison is ...

Circle Q is<u> 2 </u>units to the<u> right </u>of circle P and<u> 10 </u>units<u> above </u>it. Circle Q has a<u> longer </u>radius than circle P.

3 0

1 year ago