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tatuchka
5 days ago
8

Clarissa has a budget of $1,200 a month to spend for rent and food. She has already spent $928 this month. Which inequality repr

esents the amount she can still spend this month and remain within her budget?
A. x > 272
B. x ( < With a line under it) 272
C. x < 272
D. x ( > With a line under it)
Mathematics
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g A modal class in a histogram is the class that includes a. the largest number of observations. b. the smallest observation in
Leona [12618]

Answer:

a. the class with the highest number of observations.

Step-by-step explanation:

The mode refers to the value within a dataset that appears most frequently. This indicates that it occurs with greater frequency than other values.

In a histogram, the modal class denotes the category that has the most observations, demonstrating that the variables in that category have a higher occurrence than those in others. Consequently, the answer sought is option a.

4 0
2 months ago
In a sample of 88 adults selected randomly from one town, it is found that 6 of them have been exposed to a particular strain of
tester [12383]

Response with clarification:

Let p denote the proportion of adults in the town who have encountered this flu strain.

According to the provided information

H_0:p=0.08\\\\ H_a: p\neq0.08

∵ H_a this is a two-tailed test.

Test statistic:

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

, where p= denotes the population proportion

{\hat{p} = signifies the sample proportion

n= represents the sample size

Setting n= 6 and {\hat{p}=\dfrac{6}{88}\approx0.068 and p=0.08

z=\dfrac{0.068-0.08}{\sqrt{\dfrac{0.08(1-0.08)}{88}}}

z=\dfrac{-0.012}{0.0289199522192}\approx-0.415

P-value for the two-tailed test:[2P(Z>|z|)

=2P(Z>|-0.415|)

=2P(Z>0.415) = 2[1-P(Z≤0.415)] [∵ P(Z>z)=1-P(Z≤z)]

=2(1-0.6609) [from the z-table]

=0.6782

Decision: Because the p-value(0.6782) exceeds the significance level of 0.01, we do not reject the null hypothesis.

This leads us to conclude that there is insufficient evidence to back the assertion that the percentage of all adults in this town exposed to this flu strain deviates from the national average of 8%.

8 0
2 months ago
casey bought sandwiches and a bag of chips. Each sandwich cost three times as much as bag of chips. She bought 5 sandwiches for
AnnZ [12381]

Answer:

4

Step-by-step explanation:

Each sandwich costs 6 dollars, while chips sell for 3 dollars. She purchased 5 sandwiches at 6 dollars each, amounting to 30 dollars (5*6=30). This leaves her with 12 dollars to use since her total expenditure was 42 dollars. Given that chips are 3 dollars each, with 12 dollars left, 4 bags could be bought (4 * 3 = 12).

3 0
3 months ago
Read 2 more answers
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