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3 years ago

WILL MARK branniest answer if gotten right

Mathematics

1 answer:

Jobisdone [24]3 years ago

7 0

Answer:

Line MN is the answer

Step-by-step explanation:

Image SQ as a line that extends forever, if you took line segment and also made it extend forever, then it would become parallel to line segment SQ, never touching or intersecting and going at the same angle.

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A highly selective boarding school will only admit students who place at least 2.5 standard deviations above the mean on a stand

tresset_1 [31]

Answer:

260 is the minimum score.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 200

Standard Deviation, σ = 24

We are given that the distribution of test score is a bell shaped distribution that is a normal distribution.

Least marks required for admission in boarding school is 2.5 standard deviations above the mean.

Thus, we can calculate the minimum score as:

$=\mu + 2.5(\sigma)\\=200 + 2.5(24)\\=260$

Thus, 260 is the minimum score that an applicant must make on the test to be accepted.

4 0

3 years ago

if the length of a rectangle is increased by 30 percentage and the width of the same rectangle is decreased by 30 what is the af

LUCKY_DIMON [66]

Answer:

The area will decrease by 9%.

Step-by-step explanation:

The area of a rectange is given by the formula below.

$\boxed{\text{Area of rectangle}= \text{length}×\text{width}}$

Let the original length and width of the rectangle be L and W respectively.

Start by finding the original area:

Original dimensions

Length= L= 100%L

Width= W= 100%W

Original area= LW

Let's find the dimensions of the new rectangle in terms of L and W.

New dimensions

Length= (100% +30%)L= 130%L

Width= (100%-30%)W= 70%W

New area

$= \frac{130}{100} L \times \frac{70}{100} W$

$= \frac{91}{100} LW$

= 91% LW

Comparing the new area with the original area:

100% LW- 91% LW= 9% LW

∴ The area will decrease by 9%.

*Note that percentage is equivalent to dividing a number by 100.

4 0

2 years ago

The front row in a movie theatre has 23 seats. If you were asked to sit in the seat that occupied the median position, in which

Harrizon [31]

Answer:

Step-by-step explanation:

The median is the one in the middle. For an odd number of seats, average the first and last seat numbers.

(1 + 23) / 2 = 24 / 2 = 12. That means there will be 11 people on your left and 11 people on your right.

For an even number of seats, the same method doesn't work as well! If there are 14 seats, for example, (1 + 14) / 2 = 15 / 2 = 7.5, and if you sit in "seat" 7 and a half, it will be awkward!

4 0

3 years ago

Read 2 more answers

To the right are the outcomes that are possible when a couple has three children. assume that boys and girls are equally likely

hoa [83]

The all possible eight outcomes of boy or girl birth when a couple have three children is

(GBB) , (GBG), (GGB) , (GGG), (BBG), (BGB), (BGG), (BBB)

Where B represents boy and G represents Girl

The probability that having exactly 1 girl is

= Number of outcomes with one girl / Total numbers of outcomes

Now Number of outcomes with only one girl = GBB, BGB, BBG = 3

So the probability will be

The probability that having exactly 1 girl is = 3/8 = 0.375

The probability that when a couple has three children, there is exactly 1 girl is 0.375

7 0

4 years ago

How does the number of solutions of a system depend on ranks of the coefficient matrix and the augmented matrix?

fenix001 [56]

Answer:

The number of solutions of a system is given by the number of different variables in the system, this number has to be the same as the number of independent equations. The coefficients and the augmented matrix of the system show these values in a matrix form. A system has a unique solution when the rank of both matrixes and the number o variables in the system are the same.

Step-by-step explanation:

For example, the following system has 2 different variables, x and y.

$x+y=1\\x+2y=5$

In order to find a unique solution to the system, the number of independent equations and variables in the system must be the same In the previous example, you have 2 independent equations and 2 variables, then the solution of the system is unique.

The rank of a matrix is the dimension of the vector generated by the columns, in other words, the rank is the number of independent columns of the matrix.

According to Rouché-Capelli Theorem, a system of equations is inconsistent if the rank of the augmented matrix is greater than the rank of the coefficient matrix. The inconsistency of the system is because you can't find a combination of the variables that will solve the system.

6 0

3 years ago