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worty
5 days ago
8

Which of these triangle pairs can be mapped to each other using a translation and a rotation about point A?

Mathematics
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Unlike most packaged food products, alcohol beverage container labels are not required to show calorie or nutrient content. An a
AnnZ [12381]
We determine that the true average calorie content as estimated in the sampled population surpasses the actual calorie content. Step-by-step explanation: An article discussed a pilot study where each of the 58 participants was asked to estimate the calorie count of a 12 oz beer known to have 153 calories. The observed sample mean of calorie estimation was 193, with a sample standard deviation of 88. Let \mu = true average estimated calorie level within the sampled population. Thus, Null Hypothesis, : \mu 153 calories {indicating that the true average estimated calorie content does not exceed the actual amount}. Alternative Hypothesis, H_A: \mu > 153 calories {indicating the true average estimation exceeds the actual}. The appropriate test statistic would be a one-sample t-test statistic, as we lack knowledge of the population standard deviation; Test Statistic = ~t = t_n_-_1

where, sample mean estimated calorie level = 193 calories, s = sample standard deviation = 88, and n = sample size = 58. Therefore, the test statistic = ~t = 3.462. The t-table indicates a critical value of 1.6725 for 57 degrees of freedom at a 0.05 significance level. Since our test statistic of 3.462 > 1.6725, we have sufficient evidence to reject the null hypothesis; thus, affirming that the true average estimated calorie content in the sampled population exceeds the real content.

8 0
1 month ago
Kendra is choosing bouquets of flowers for table centerpieces. She decides to buy 40 bouquets for $120 because she thinks that p
babunello [11817]

Answer:

Find below:

Step-by-step explanation:

To determine this, we will either calculate the total cost of acquiring 40 bouquets at $2.50 each or find the single bouquet’s cost at $120.

Cost of one in pack of 40 priced at $120.

120 divided by 40 equals $3

Now, we notice that $3>$2.50

This indicates Kendra has made an error by purchasing the 40 bouquet pack at $120

Hope this helps.

Good Luck

7 0
2 months ago
A house cleaning service claims that it can clean a four bedroom house in less than 2 hours. A sample of n = 16 houses is taken
Zina [12379]

Response:

Option B is correct

Step-by-step breakdown:

H_0: x bar =2\\H_a: x bar

(One-tailed test at a significance level of 5%)

n = 16 and x̄ = 1.97

s = 0.1

Standard error of the mean = \frac{s}{\sqrt{n} } \\=0.025

Difference in means = 1.97-2 =-0.03

t statistic = Difference in means/se = -1.2

degrees of freedom = 16 - 1 = 15

p-value = 0.124375

(B) do not reject the null hypothesis since the test statistic (-1.2) is > the critical value (-1.7531).

3 0
1 month ago
Bill buys and sells laptops. Last month Bill bought 50 laptops. He paid £400 for each laptop. He sold 40 of these laptops at a p
PIT_PIT [12445]

Answer:

Yes, Bill surpassed his target by £2,200.

Step-by-step explanation:

The cost for the laptops totals = 50 x 400

= 20,000

He sold 40 laptops with a profit margin of 30%

Calculating that gives (40 x 400) x 1.30

= 20,800

He sold 10 laptops with a profit of 15%

Calculating that gives (15 x 400) x 1.15

= 6900

Thus, the overall sales revenue totals

= 20800 + 6900 = 27,700

7 0
1 month ago
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