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3 years ago

Last question please help me

Mathematics

1 answer:

gladu [14]3 years ago

3 0

Make a 4x4 table where rows are Alice, Bart, Pamela, and Robert, and where columns are the professions: Dentist, Laywer, Teacher and Writer.

Start crossing out possible pairing person-profession using the facts given. When a job is clearly assigned, you can cross it off for the rest of the people, for example, Pamela is a dentist so none of the rest are a dentist (because we are told they have all different jobs).

Eventually your table becomes filled.

Alice is a Lawyer

Bart is a Writer <<< so this is choice (B) for your answer

Pamela is a Dentist

Robert is a Teacher

Let me know if you have questions

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Romashka [77]

B inventory
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Add fright inward

Total amount to be account for
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7 0

3 years ago

Help I need this today

Nadusha1986 [10]

Answer:

x=70

y=75

Step-by-step explanation:

2x+x+5-35=180

3x-30=180

3x=210

x=70

2(70)-35=105

180-105=75

y=75

3 0

3 years ago

A set of city temperatures in April are normally distributed with a mean of 19.7 degrees Celsius and a standard deviation of 2 d

Sati [7]

Answer:

19.77% of average city temperatures are higher than that of Cairo

Step-by-step explanation:

Problems of normally distributed samples are 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 question, we have that:

$\mu = 19.7, \sigma = 2$

What percentage of average city temperatures are higher than that of Cairo?

This is 1 subtracted by the pvalue of Z when X = 21.4.

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

$Z = \frac{21.4 - 19.7}{2}$

$Z = 0.85$

$Z = 0.85$ has a pvalue of 0.8023

1 - 0.8023 = 0.1977

19.77% of average city temperatures are higher than that of Cairo

6 0

2 years ago

Bryan made up a game. Each team starts with seven points. Each time a team answers a question correctly, they earn five points.

Margaret [11]

The given equation is:
t = 7 + 5q
where:
t is the total number of points
q is the questions answered correctly

We are given that the total of correct answers is 6 and we want to find the total number of points. Therefore, all we have to do is substitute with the number of answers in the given equation to get the total points as follows:
t = 7 + 5q
t = 7 + 5(6)
t = 7 + 30
t = 37 points

5 0

3 years ago

Read 2 more answers

Suppose an airline policy states that all baggage must be box shaped with a sum of length, width, and height not exceeding 174 i

Leya [2.2K]

Answer:

The square-based box with the greatest volume under the condition that the sum of length, width, and heigth does not exceed 174 in is a cube with each edge of 58 in and a volume of $195112 in^{3}$

Step-by-step explanation:

For this problem we have two constraints, that are as follows:

1) Sum of length, width, and heigth not exceeding 174 in

2) Lenght and width have the same measure (square-based box)

We know that volume is equal to the product of all three edges, and with the two conditions into account we have the next function:

$V=(w^{2})(174-2w)\\V=174w^{2}-2w^{3}$

The interval of interest of the objective function is [0, 87]

This problem requieres that we maximize the function that defines the volume. We start calculating the derivative of the function, wich is:

$V'=348w-6w^{2} \\V'=(348-6w)(w)$

We need to remember that the derivative of a function represents the slope of said function at a given point. The maximum value of the function will have a slope equal to zero.

So we find the value in wich the derivative equals zero:

$0=(348-6w)(w)\\w_1=0\\w_2=348/6=58$

The first value ( $w=0$ ) will leave us with a 'height-only box', so the answer must be $w=58 in$

The value is between the interval of interest.

And, once we solve for the constraints, we have that:

Lenght = Width = Heigth = 58 in

Volume = $195112 in^{2}$

8 0

3 years ago