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aliya0001 [1]
3 years ago
5

margaret is planning a wedding reception she wants to spend less than her budget of $5,323 and margaret has already spent $2,748

the meal price per guest is $25 how many quests, x, can margaret invite to the reception and stay under budget on a number line graph
Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
3 0

Answer:

103.

Step-by-step explanation:

The initial budget is $5,323 and has already spent $2,748, so the remain budget is $2,575. If the meal price per guest is $25, so:

$2,575 / $25 = 103

She can invite up to 103 guests.

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torisob [31]

Answer: The proportion of oil tankers that had spills is \dfrac{156}{474} or 0.329.

Step-by-step explanation:

Since we have given that

Number of tankers is drawn = 474

Number of tankers did not have spills = 318

Number of tankers have spills = 474 - 318 = 156

Proportion of oil tankers that had spills is given by

\dfrac{Containing\ spill}{Total}=\dfrac{156}{474}=0.329

Hence, the proportion of oil tankers that had spills is \dfrac{156}{474} or 0.329.

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Step-by-step explanation:

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Line segment segment CD has a slope of negative start fraction two over three end fraction and contains point C(−3, −6). What is
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A survey of 340 randomly chosen US adults found that 60% of the 150 men and 50% of the 190 women ran a five-kilometer race durin
Andrej [43]

Answer:

The p-value is less than the significance level, so we will reject the null hypothesis, and conclude that at 5% significance level, the proportion for women that ran 5 km is more than the proportion of male that ran the 5 km. Thus, women are more likely to run the 5 km race.

Step-by-step explanation:

We are given;

Number of males selected; n₁ = 150

Number of females selected; n₂ = 190

Proportion of the males; p₁ = 0.6

Proportion of females; p₂ = 0.5

Let's define the hypotheses;

Null hypothesis; H0: p₁ ≥ p₂

Alternative hypothesis; Ha: p₁ < p₂

Now, the z score formula for this is;

z = (p₁ - p₂)/√(p^(1 - p^))(1/n₁ + 1/n₂))

Where;

p^ = (p₁ + p₂)/2

p^ = (0.6 + 0.5)/2

p^ = 0.55

Thus;

z = (0.6 - 0.5)/√(0.55(1 - 0.55))((1/150) + (1/190))

z = 0.1/0.0543

z = 1.84

From online p-value from z-score calculator attached, using z = 1.84, significance level = 0.05, one tailed hypothesis, we have;

P-value = 0.033

The p-value is less than the significance level, so we will reject the null hypothesis, and conclude that at 5% significance level, the proportion for women that ran 5 km is more than the proportion of male that ran the 5 km. Thus, women are more likely to run the 5 km race.

Although if we check at 0.01 significance level, we will not have the same answer as the p-value will be greater.

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3 years ago
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