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Makovka662 [10]
3 years ago
13

Part A The dot plot shows the daily lunch money of a group of students. ​Each dot represents one student. ​ ​ ​What is the mean

daily pocket money? A $1.50 B $2.00 C $2.15 D $2.20 ​ ​Part B What is the mode of the daily pocket money? ​ Answer:
Mathematics
1 answer:
Oksana_A [137]3 years ago
4 0

Answer:

Mean= $ 1.96

Mode= No mode

Step-by-step explanation:

Mean is the value obtained by dividing the sum of all the observations by their numbers.

Mean is obtained by dividing the total number of the values with the number of values.

Mean= x1+ x2+ x3 + x4/ 4

Mean = $ 1.5 + $ 2.0 + $ 2.15 + $ 2.20/4=  7.85/4=  1.9625or 1.963 or $ 1.96

Mode is the most frequent occurring value in a data set. But since all the values in the given set occur only once the data does not have any mode .

There is no mode because  every value has the same frequency, that is it occurs the same number of times.

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What is the volume of the square pyramid? Round to the nearest tenth.
goldfiish [28.3K]

Answer:

V=718.7\ cm^{3}

Step-by-step explanation:

we know that

The volume of the square pyramid is equal to

V=\frac{1}{3}b^{2}h

we have

b=14\ cm ----> the length of the base of the square pyramid

h=11\ cm ---> the height of the pyramid

substitute the values in the formula

V=\frac{1}{3}(14)^{2}(11)

V=718.7\ cm^{3}

4 0
3 years ago
Which statement below is TRUE about |-2| and |-5|?
Ira Lisetskai [31]

|-5| is greater than |-2| because |-5| is 5 and |-2| is 2 and 5 is greater than 2.

6 0
2 years ago
Read 2 more answers
Tell whether each number is rational or irrational: Pi, -1/2, the square root of 2/3, and 0.57575757
DedPeter [7]
Pi: Irrational
√(2/3): Irrational

0.57575757 is rational 
and -1/2 is rational.
I hope this helps.
5 0
3 years ago
Find the domain of the rational expression: x-3/2x-8
miss Akunina [59]

Answer:

\huge\boxed{x\neq4\to x\in\mathbb{R}\backslash\{4\}}

Step-by-step explanation:

\dfrac{x-3}{2x-8}

We know: the denominator must be different than 0.

Therefore

2x-8\neq0        <em>add 8 to both sides</em>

2x-8+8\neq0+8

2x\neq8             <em>divide both sides by 2</em>

\dfrac{2x}{2}=\dfrac{8}{2}\\\\x\neq4

6 0
4 years ago
A grading scale is set up for 1000 students' test scores. It assumes the
astra-53 [7]

Answer:

464 students will score between 48 and 75. Using the z-distribution, we measure how many standard deviations each score is from the mean, then find the p-value associated with each score to find the proportion, and from the proportion, we find how many out of 1000.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

It assumes the scores are normally distributed with a mean score of 75 and a standard deviation of 15.

This means that \mu = 75, \sigma = 15

How many students will score between 48 and 75?

First we find the proportion, which is the pvalue of Z when X = 75 subtracted by the pvalue of Z when X = 48. So

X = 75

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

Z = \frac{75 - 75}{15}

Z = 0

Z = 0 has a p-value of 0.5

X = 48

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

Z = \frac{48 - 75}{15}

Z = -1.8

Z = -1.8 has a p-value of 0.0359

1 - 0.0359 = 0.4641

Out of 1000:

0.4641*1000 = 464

464 students will score between 48 and 75. Using the z-distribution, we measure how many standard deviations each score is from the mean, then find the p-value associated with each score to find the proportion, and from the proportion, we find how many out of 1000.

7 0
3 years ago
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