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3 years ago

Justin is considering two websites for downloading music.The costs are detailed here.

Mathematics

1 answer:

solniwko [45]3 years ago

3 0

Answer:

Website 1: Y=1.5x+30

Website 2: Y=2x

Step-by-step explanation:

Website 1 has upfront cost of $30.

The cost of download will be $1.5 per download

Total cost will be 1.5X+30

Where in for Website 2, it will be multiplied by $2

so Y=2X

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In a basketball game, a regular basket was worth 2 points and a long-distance basket was worth 3 points. If there were 45 basket

-BARSIC- [3]

Answer:

B. r + l = 45; 2r + 3l = 96

39 regular; 6 long-distance

Step-by-step explanation:

There were 45 baskets, so

(1) r + l = 45

There were 96 points in the game, so

(2) 2r + 3l = 96

Solve equation (1) for l

l = 45 – r Substitute the value for l in Equation (2)

2r + 3(45 – r) = 96 Remove parentheses

2r + 135 - 3r = 96 Combine like terms

-r + 135 = 96 Subtract 135 from each side

-r = -39 Multiply each side by -1

r = 39 Substitute the value of r in Equation (1)

39 + l = 45 Subtract 39 from each side

l = 6

===============

Check:

(1) 39 + 6 = 45

45 = 45

(2) 2×39 + 3×6 = 96

78 + 18 = 96

96 = 96

4 0

3 years ago

A roulette wheel has 38 slots. a gambler will play roulette 50 times, betting a dollar on four numbers each time. if one of thes

Keith_Richards [23]

For 1 play, the chance of gaining $8 is 4/38, while the chance of losing the $1 is 34/38. Therefore, the expected value is ($8)(4/38) + ($-1)(34/38) = $(-1/19). Over 50 plays, which are mutually independent of each other, we multiply the number of plays by the expected value to get $(-50/19) = $-2.63.
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7 0

3 years ago

A train that is 1 mile long starts through a tunnel that is also 1mile long . The train is traveling 15 miles per hour. How long

bearhunter [10]

12 minutes because it is three miles into for the train to go completely in and out (one mile for the nose to enter, on mile for the nose to exit and tail enter, and one mile for tail to exit). 3/15=x/60

6 0

3 years ago

Read 2 more answers

The mean waiting time at a drive-through of a fast-food restaurant from the time the order is received is 84 seconds. A manager

olga nikolaevna [1]

Answer:

$t=\frac{81-84}{\frac{3.6}{\sqrt{100}}}=-8.33$

And the standard score for this case is $-8.33$

Step-by-step explanation:

Data given and notation

$\bar X=81$ represent the sample mean

$s=3.6$ represent the sample standard deviation

$n=100$ sample size

$\mu_o =84$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the ture mean is lower than 84, the system of hypothesis would be:

Null hypothesis: $\mu \geq 84$

Alternative hypothesis: $\mu < 84$

If we analyze the size for the sample is > 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{81-84}{\frac{3.6}{\sqrt{100}}}=-8.33$

And the standard score for this case is $-8.33$

5 0

2 years ago

Find the measure of the indicated angle in each triangle.

Helen [10]

Answer:

Step-by-step explanation:

Sum of all angles of triangle = 180

∠B + 46 + 90 = 180

∠B = 180 - 90 - 46

∠B = 44

3 0

2 years ago

Read 2 more answers