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2 years ago

Could 14 inches, 13 inches, and 16 inches be the dimension of a triangle? Explain your answer.

Mathematics

1 answer:

marishachu [46]2 years ago

8 0

Yes, because the sum of any 2 sides of the triangle is greater than the value of the third side.

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Consider the accompanying data on breaking load (kg/25 mm width) for various fabrics in both an unabraded condition and an abrad

CaHeK987 [17]

Answer:

From the given data we need to use the following statistics rules

H0 x25

H1 x>25

t=4.355

Reject H0. The data does not suggest a significant mean difference in breaking load for the two fabric load conditions,option C is correct.

4 0

2 years ago

Cassidy has saved $8,000 this year in an account that earns 9% interest annually. Based on the rule of 72, it will take about ye

den301095 [7]

Answer:

The number of years in which saving gets double is 8 years .

Step-by-step explanation:

Given as :

The principal amount saved into the account = p = $8,000

The rate of interest applied = r = 9%

The Amount gets double in n years = $A

Or, $A = 2 × p = $8,000 × 2 = $16,000

Let the number of years in which saving gets double = n years

Now,<u> From Compound Interest method</u>

Amount = Principal × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

Or, 2 × p = p × $(1+\dfrac{\textrm r}{100})^{\textrm n}$

Or, $16,000 = $8,000 × $(1+\dfrac{\textrm 9}{100})^{\textrm n}$

Or, $\dfrac{16,000}{8,000}$ = $(1.09)^{n}$

Or, 2 = $(1.09)^{n}$

Now, Taking Log both side

$Log_{10}$ 2 = $Log_{10}$ $(1.09)^{n}$

Or, 0.3010 = n × $Log_{10}$ 1.09

Or, 0.3010 = n × 0.0374

∴ n = $\dfrac{0.3010}{0.0374}$

I.e n = 8.04 ≈ 8

So, The number of years = n = 8

Hence, The number of years in which saving gets double is 8 years . Answer

8 0

2 years ago

A normal random variable with mean and standard deviationboth equal to 10 degrees Celsius. What is the probability that the temp

Korvikt [17]

Answer:

0.57142

Step-by-step explanation:

A normal random variable with mean and standard deviation both equal to 10 degrees Celsius. What is the probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit?

We are told that the Mean and Standard deviation = 10°C

We convert to Fahrenheit

(10°C × 9/5) + 32 = 50°F

Hence, we solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 59 °F

μ is the population mean = 50 °F

σ is the population standard deviation = 50 °F

z = 59 - 50/50

z = 0.18

Probability value from Z-Table:

P(x ≤59) = 0.57142

The probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit

is 0.57142

4 0

2 years ago

in 2012, the general social survey included a question that asked participants how many hours they worked a week. do males work

Agata [3.3K]

Using sampling concepts, it is found that this is an example of independent samples.

For dependent samples, there is a paired measurement for one set of items.
For independent samples, separate measurements are made on two different sets, that is, the value on one sample reveal no information about the values on the other sample.

In this problem, there are two samples, the sample composed of male workers and the one composed of female workers, and separate measurements are taken, hence, it is an independent sample.

A similar problem is given at brainly.com/question/23106151

4 0

2 years ago

If you know how to solve this, Please answer it. Thank You

bulgar [2K]

The answer would be 10

6 0

2 years ago

Read 2 more answers