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3 years ago

The cost of a banquet can be calculated using the function

Mathematics

1 answer:

kotykmax [81]3 years ago

3 0

Answer:

3 people attended the banquet

Step-by-step explanation:

The function is given as:

b = 75 + 15n where

b represents the total = 122

n represents the number of people attending = ??

If the total cost of the banquet is 122, how many people attended the banquet?

Hence,

122 = 75 + 15n

122 - 75 = 15n

47 = 15n

Divide both sides by 15

n = 47/15

n = 3.1333333333

Approximately to the nearest whole number = 3

Therefore, 3 people attended the banquet.

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The owner of a small pet supply store wants to open a second store in another city, but he only wants to do so if more than one-

Andrei [34K]

Answer:

The answer is "The null hypothesis was rejected".

Step-by-step explanation:

Following are the right-tailed test:

Calculating the null and alternative hypothesis:

$H_0 : p = 0.3333\\\\H_a : p > 0.3333\\\\n = 150\\\\x = 64\\\\\hat{p} = \frac{x}{n} = \frac{64}{150} = 0.4267\\\\P_0 = 0.3333\\\\1 - P_0 = 1 - 0.3333 = 0.6667\\\\$

$z = \frac{\hat{p} - P_0}{[\sqrt{\frac{P_0 \times (1 - P_0 )}{n}}]}$

$= \frac{0.4267 - 0.3333}{[\sqrt{\frac{(0.3333 \times 0.6667)}{150}}]}\\\\= 2.426$

Calculating the right-tailed test:

$P(z > 2.426) = 1 - P(z < 2.426) = 1 - 0.9924 = 0.0076\\\\P-value = 0.0076\\\\\alpha = 0.05\\\\P-value < \alpha$

Therefore, we reject the null hypothesis.

This example shows that more than a third of the families own pets in this town.

5 0

2 years ago

How can 26n-7m+4(10n-6m)

Olenka [21]

Answer:

66n-31m

Step-by-step explanation:

26n-7m+4(10n-6m)

26n-7m+40n-24m

66n-31m

3 0

2 years ago

A truck uses 1 gallon of diesel for every 12 miles traveled. The amount of diesel left in the gas tank, r gallons, after traveli

Snezhnost [94]

The question has missing details. However, general questions that could be asked is as follows:

(1) The number of miles traveled after using (say) 5 gallons

(2) The number of gallons used after traveling for (say) 36 miles

Answer:

See Explanation

Step-by-step explanation:

Given

$s = 120 - 12r$

A linear equation is represented as:

$y = c + mx$

Where

$c =y\ intercept$ and

$m = slope.$

c, in this question represents the initial capacity of the tank.

So, the initial capacity is 120 liters

Solving (a): r = 5

$s = 120 - 12r$

$s = 120 - 12 * 5$

$s = 120 - 60$

$s = 60$

60 miles traveled

Solving (b): s = 36

$s = 120 - 12r$

$36 = 120 - 2r$

Collect like terms

$2r =120 -36$

$2r =84$

Solve for r

$r = 42$

42 gallons used

4 0

3 years ago

The cost of making a shirt is half of what the shirt normally sells for. Today, the shirt is in a 15 percent discount from its n

Vaselesa [24]

Answer:

.85 times the cost to make the shirt

Step-by-step explanation:

Let x represent cost to make the shirt.

Today, the shirt is in a 15 percent discount from its normal price.

Discount = 15/100 * x = 0.15x

Current cost = Original cost - discount

Current cost = x - 0.15x = 0.85x

The answer is;

.85 times the cost to make the shirt

4 0

2 years ago

Θ lies in Quadrant II . sinθ=47sinθ=47 What is the exact value of cosθ in simplified form?

Pepsi [2]

I am assuming you mean 4/7 as the sine or cosine cannot be higher than 1.

Lets find θ,

θ = [sin-1](4/7) = 34.85 °

But lets take into account that this value is the equivalent in Quadrant I.

If Θ lies in Quadrant II , then θ = 180 ° - 34.85 ° = 145.15 °

So cosθ = cos (145.15) = -0.821

4 0

3 years ago