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3 years ago

What are the rules for these problems?

Mathematics

1 answer:

Rudiy273 years ago

4 0

The answer to number 3 is -12 because you would do X times 4 and then add 8

the answer to number 4 is 46 because you would do X times 3 and then add 7

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Suppose that A, B, and C are invertible matrices of the same

STALIN [3.7K]

Answer:

Step-by-step explanation:

Given that t A, B, and C are invertible matrices of the same

size.

To pr that $(ABC)^{-1} = C^{-1}B^{-1}A^{-1}.$

to pr that $( ABC) (C^{-1}B^{-1}A^{-1})=e$

LS= $( AB(C (C^{-1})B^{-1}A^{-1})\\=ABIB^{-1}A^{-1})\\=A(BB^{-1})A^{-1})\\=AA^{-1})\\=I$

Thus proved

8 0

3 years ago

Use the null hypothesis H0 : μ = 98.6, alternative hypothesis Ha: μ < 98.6, and level of significance α = 0.05. 98 99.6 97.8

andrezito [222]

Answer:

The t-score is -1.8432

Step-by-step explanation:

We are given the following in the question:

98, 99.6, 97.8, 97.6, 98.7, 98.4, 98.9, 97.1, 99.2, 97.4, 99.1, 96.9, 98.8, 99.9, 96.8, 97, 98.7, 97.6, 98.7, 98.2

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1964.4}{20} = 98.22$

Sum of squares of differences = 16.152

$s = \sqrt{\dfrac{16.152}{49}} = 0.922$

Population mean, μ = 98.6

Sample mean, $\bar{x}$ = 98.22

Sample size, n = 20

Sample standard deviation, s = 0.922

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 98.6\\H_A: \mu < 98.6$

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{98.22 - 98.6}{\frac{0.922}{\sqrt{20}} } = -1.8432$

The t-score is -1.8432

7 0

3 years ago

Della lives in a city where she pays federal and local taxes on her income. On her last paycheck, 31% of her income was taken ou

Anit [1.1K]

Answer:

Step-by-step explanation:

If you add the presents then calculate that percent off of of her last paycheck you will find your answer

8 0

3 years ago

Find the area of the composite figure, rounding to the nearest tenth.

Ugo [173]

Answer:

85,1 ft^2

Step-by-step explanation:

Semicircle area : 4^2π / 2 = 8π = 25,1 ft^2

Triangle area : (8 x 15) / 2 = 60 ft^2

Total Area = 60 + 25,1 = 85,1 ft^2

7 0

3 years ago

Equivalent fraction and decimal for 2 ones 2 hundreths

Margaret [11]

Answer:0.22

Step-by-step explanation: you turn it into a decimal.

8 0

3 years ago