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2 years ago

5

The store sells a 9 ounce jar of mustard for $1.53 and a 15 ounce for $2.55 explain whether the cost of the mustards have the sa

me unit rate per ounce

1 answer:

astraxan [27]2 years ago

3 0

Answer:

same amount of money

Step-by-step explanation:

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Benjamin is riding a unicycle. The tire of his unicycle has a circumference of 2.8 \text{ m}2.8 m2, point, 8, start text, space,

Karo-lina-s [1.5K]

Answer:

420 meters

Step-by-step explanation:

Q. Benjamin is riding a unicycle. The tire of his unicycle has a circumference of 2.8 m, and the tire revolves 1.5 times per second. What is the distance Benjamin travels in 100 seconds?

<u>Given</u>:

Circumference of circular tire = 2.8 meters

Tire revolves per second = 1.5 times

<u>Question asked:</u>

What is the distance Benjamin travels in 100 seconds?

<u>Solution:</u>

Circumference of circular tire means distance covered by the unicycle's tire when it revolves 1 time that is 2.8 meters.

<em><u>Now, by unitary method:</u></em>

In 1 second, tire revolves = 1.5 times

In 100 seconds, tire revolves = 1.5 $\times$ 100

= 150 times

Distance covered by the tire when it revolves 1 time = 2.8 m

Distance covered by the tire when it revolves 150 times = 2.8 $\times$ 150

= 420 meters

Therefore, Benjamin travels 420 meters in 100 seconds.

8 0

2 years ago

Read 2 more answers

Antony has a net spendable income of $1,950 per month. What is the maximum recommended amount of money that he should budget for

REY [17]

The max budget for food is 17%

.17 x 1950 = 331.5

The answer is $332

Just took this test and got it right

7 0

2 years ago

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A manager of a fast food restaurant wants the drive-thru employee to ask every fifth customer if he or she is satisfied with the

Ira Lisetskai [31]

Options:

A.

All survey respondents

B.

The proportion of customers who say they are satisfied with their service

C. All customers who use the drive-thru window of this fast food restaurant

D. All customers of this restaurant

Answer:A. All survey respondents

Step-by-step explanation: A population is the total number of people or a particular organism staying in a particular place or from where a sample can be gotten which is to be used for an experiment.

A survey is a research procedure used to obtain data from a pre-determined group of people,this data is about their own view about a given topic of interest in the research.

5 0

2 years ago

The XO Group Inc. conducted a survey of 13,000 brides and grooms married in the United States and found that the average cost of

slavikrds [6]

Answer:

a) 0.0392

b) 0.4688

c) At least $39,070 to be among the 5% most expensive.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 29858, \sigma = 5600$

a. What is the probability that a wedding costs less than $20,000 (to 4 decimals)?

This is the pvalue of Z when X = 20000. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{20000 - 29858}{5600}$

$Z = -1.76$

$Z = -1.76$ has a pvalue of 0.0392.

So this probability is 0.0392.

b. What is the probability that a wedding costs between $20,000 and $30,000 (to 4 decimals)?

This is the pvalue of Z when X = 30000 subtracted by the pvalue of Z when X = 20000.

X = 30000

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{30000 - 29858}{5600}$

$Z = 0.02$

$Z = 0.02$ has a pvalue of 0.5080.

X = 20000

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{20000 - 29858}{5600}$

$Z = -1.76$

$Z = -1.76$ has a pvalue of 0.0392.

So this probability is 0.5080 - 0.0392 = 0.4688

c. For a wedding to be among the 5% most expensive, how much would it have to cost (to the nearest whole number)?

This is the value of X when Z has a pvalue of 0.95. So this is X when Z = 1.645.

$Z = \frac{X - \mu}{\sigma}$

$1.645 = \frac{X - 29858}{5600}$

$X - 29858 = 5600*1.645$

$X = 39070$

The wedding would have to cost at least $39,070 to be among the 5% most expensive.

5 0

2 years ago

Which statement correctly names the congruent triangles and justifies the reason for congruence? ΔABC ≅ ΔFDE by HL ΔABC ≅ ΔFED b

pishuonlain [190]

Answer: The correct option is ΔABC ≅ ΔFED by SAS

Step-by-step explanation:

Looking at the given diagram,

Side AC = Side DF = 3.2

Side AB = Side FE = 4 units

Angle A = angle F = 72 degrees

Since two sides and one angle are equal, then triangle FED = triangle ABC by SAS(side angle side)

This makes the ratios possible

AB/FE = AC/DF

The HL given means hypotenuse leg. It will not hold because the triangles are not right angle triangles.

3 0

2 years ago