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3 years ago

ASAP HELP! MATRICES!

Mathematics

1 answer:

Gemiola [76]3 years ago

4 0

$2A = \left[\begin{array}{ccc}8&18\\26&10\end{array}\right]$

Step-by-step explanation:

Given

$A = \left[\begin{array}{ccc}4&9\\13&5\end{array}\right]$

We have to find 2A which means all the elements of the matrix have to be multiplied by the integer 2

So,

$2A = 2\left[\begin{array}{ccc}4&9\\13&5\end{array}\right]\\= \left[\begin{array}{ccc}2(4)&2(9)\\2(13)&2(5)\end{array}\right]\\=\left[\begin{array}{ccc}8&18\\26&10\end{array}\right]$

Hence,

$2A = \left[\begin{array}{ccc}8&18\\26&10\end{array}\right]$

Keywords: Matrices, Multiplication of matrices

Learn more about matrices at:

#LearnwithBrainly

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Find x and the measure of each side.

Anna71 [15]

Answer:

x=27.5

FG=72.5

GH=60

HF=47.5

Step-by-step explanation:

Sum of angles in a triangle=180

Therefore, FG+GH+HF=180

Substituting the values we have,

(3x - 10) + (2x+5) +(x+20) = 180

Collecting like terms

3x+2x+x = 180 +10 - 5 - 20

6x = 165

X= 27.5

FG = (3x - 10) = 3(27.5) - 10

FG= 72.5

GH= (2x+5) = 2(27.5)+5

GH=60

HF= x+20 =27.5+20

HF=47.5

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1 year ago

What is the equation of the line that is perpendicular to the given line and passes through the point (5,3)

Pani-rosa [81]

perpendicular lines have a slope that is a negative reciprocal

A) 4x-5y=5

subtract 4x

solve for y

-5y = -4x+5

divide by -5

y = 4/5 x+5 slope is 4/5 perpendicular slope is -5/4

y -y1 =m(x-x1) point slope form of a line

y-3 = -5/4 (x-5)

B) 5x+4y = 37

subtract 5x

4y =-5x +37

divide by 4

y =-5/4 x +37/4 slope is -5/4 perpendicular slope is 4/5

y -y1 =m(x-x1) point slope form of a line

y-3 = 4/5 (x-5)

C)4x+5y=5

subtract 4x

5y = -4x +5

divide by 5

y = -4/5 x +1

y =-4/5 x +1 slope is -4/5 perpendicular slope is 5/4

y -y1 =m(x-x1) point slope form of a line

y-3 = 5/4 (x-5)

D)5x-4y=8

subtract 5x

-4y = -5x+8

divide by -4

y = 5/4 x-2

y =5/4 x +-2 slope is 5/4 perpendicular slope is -4/5

y -y1 =m(x-x1) point slope form of a line

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3 years ago

Ms. Hartt burns 300 calories when she runs for 1 hour. If Ms. Hartt runs 5 hours in a week how many calories would she burn?

Schach [20]

Answer: If Ms. Hartt burns 300 calories in 1 hour, and runs 5 hours in a week, she burns 1,500 calories in a week.

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2 years ago

Which statement is true?

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I believe C is correct,
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3 years ago

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Identify thenull hypothesis, alternative hypothesis, test statistic, P-value or critical value(s), then state the conclusion abo

miv72 [106K]

Answer:

Step-by-step explanation:

This is a test of 2 population proportions. Let m and w be the subscript for men and women players. The population proportions would be pm and pw

Pm - Pw = difference in the proportion of male and female players.

The null hypothesis is

H0 : pm = pw

pm - pw = 0

The alternative hypothesis is

Ha : pm ≠ pw

pm - pw ≠ 0

it is a two-tailed test

Sample proportion = x/n

Where

x represents number of success

n represents number of samples

For men,

xm = 1027

nm = 2441

Pm = 1027/2441 = 0.42

For women,

xw = 509

nw = 1273

Pw = 509/1273 = 0.4

The pooled proportion, pc is

pc = (xm + xw)/(nm + nw)

pc = (1027 + 509)/(2441 + 1273) = 0.41

1 - pc = 1 - 0.41 = 0.59

z = (Pm - Pw)/√pc(1 - pc)(1/nm + 1/nw)

z = (0.42 - 0.4)/√(0.41)(0.59)(1/2441 + 1/1273) = 0.02/√0.0002891223

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Area to the right from the normal distribution table is

1 - 0.881 = 0.119

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