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3 years ago

Can a matrix of dimensions 2 X 4 be added to another matrix with dimensions of 2 X 6?

Mathematics

1 answer:

Rus_ich [418]3 years ago

8 0

Answer:

No.

Step-by-step explanation:

It has different order of matrices .

For Addition or Substraction , both matrices must have the same number of rows and columns .

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An artist charges $980 for a portrait but gives a 5% discount. Calculate the cash price of the portrait.

Scrat [10]

Answer:

Step-by-step explanation:

1. A boutique is offering a 15% discount on a dress. Calculate the cash price for the dress if the marked price is $2300.

2. An artist charges $980 for a portrait but gives a 5% discount. Calculate the cash price of the portrait.

3. A television set has a selling price of $1950. A 10% discount is offered for cash. What amount is the cash price to the customer?

4. A store is having a sale on dining sets. The marked price is $47,320, however a discount of 12% is being offered for cash. Calculate the cash price of the dining set.

5. A tailor charges $2487 for a suit but gives a discount of 5%. What is the cash price for the suit?

6. A washing machine has a marked price of $33,000 and a discount of 6% is given for cash. What is the cash price of the washing machine?

7. Laura sees a summer dress in a store with a marked price of $1303. A discount of 9% is given on cash. What is the cash price of the summer dress?

Light behaves mainly like a wave but it can also be considered to consist of tiny packages of energy called photons. Photons carry a fixed amount of energy but have no mass. They also found that increasing the intensity of light increased the number of electrons ejected, but not their speed.

4 0

2 years ago

A set of middle school student heights are normally distributed with a mean of 150 centimeters and a standard deviation of 20 ce

julsineya [31]

Answer:

The proportion of students whose height are lower than Darnell's height is 71.57%

Step-by-step explanation:

The complete question is:

A set of middle school student heights are normally distributed with a mean of 150 centimeters and a standard deviation of 20 centimeters. Darnel is a middle school student with a height of 161.4cm.

What proportion of proportion of students height are lower than Darnell's height.

Answer:

We first calculate the z-score corresponding to Darnell's height using:

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

We substitute x=161.4 , $\mu=150$ , and $\sigma=20$ to get:

$Z=\frac{161.4-150}{20} \\Z=0.57$

From the normal distribution table, we read 0.5 under 7.

The corresponding area is 0.7157

Therefore the proportion of students whose height are lower than Darnell's height is 71.57%

8 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

3 years ago

Two of the angles in a triangle measure 52 and 22 what must be the measure of the third angle

viktelen [127]

The measure of the third angle is 74

7 0

3 years ago

QUESTION 2. the feasible region shows the number of chairs x and tables y that a furniture company can build each week.

GalinKa [24]

Answer:

Part a) The company can not build 12 chairs and 5 tables

Part b) The company can build 18 chairs and 3 tables

Part c) The company can build 12,13,14,15,16 or 17 chairs

Step-by-step explanation:

we know that

If a ordered pair is a solution, then the ordered pair must be belong to the feasible region of the graph

Part a) Can the company build 12 chairs and 5 tables?

In this problem we have the ordered pair A(12,5)

Plot and verify if the point belong to the feasible region of the graph

see the attached figure to better understand the problem

The point A is not on the feasible region

therefore

The company can not build 12 chairs and 5 tables

Part b) Can the company build 18 chairs and 3 tables?

In this problem we have the ordered pair B(18,3)

Plot and verify if the point belong to the feasible region of the graph

see the attached figure to better understand the problem

The point B is on the feasible region

therefore

The company can build 18 chairs and 3 tables

Part c) One week, the company decides to build 4 tables. how many chairs can the company build?

For y=4

Find the value of x in the graph

The solutions point for y=4 tables are

(12,4), (13,4),(14,4),(15,4),(16,4) and (17,4)

therefore

The company can build 12,13,14,15,16 or 17 chairs

3 0

3 years ago