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3 years ago

Why is the greatest common factors with 2 numbers sometimes 1

Mathematics

1 answer:

OverLord2011 [107]3 years ago

5 0

The greatest common factor of two numbers, one of which is 1, will always be 1.

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Alex Ar [27]

Answer:

ADB and ABC are similar

x = 8

Step-by-step explanation:

hypotenuse in ADB = $\sqrt{4^2 + 2^2 } = \sqrt{20}$

since two triangles are similar,

$\frac{2+x}{\sqrt{20} } = \frac{\sqrt{20}}{2}$

solving for x, x=8

4 0

3 years ago

5th grade math. correct answer will be marked brainliest.

givi [52]

Answer:

The answer will be 41/14

Step-by-step explanation:

2.928571429

3 0

3 years ago

Victoria is taking swimming lessons. Her swimming instructor charges $29.50 per hour. If Victoria has swimming lessons for 4.5 h

jarptica [38.1K]

Answer:

123.75

Step-by-step explanation:

4.5 x 29.50 = 123.75

7 0

3 years ago

Read 2 more answers

The sodium content of a popular sports drink is listed as 200 mg in a 32-oz bottle. Analysis of 20 bottles indicates a sample me

julia-pushkina [17]

Answer:

The sample does not contradicts the manufacturer's claim.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 200 mg

Sample mean, $\bar{x}$ = 211.5 mg

Sample size, n = 20

Alpha, α = 0.05

Sample standard deviation, s = 18.5 mg

a) First, we design the null and the alternate hypothesis for a two tailed test

$H_{0}: \mu = 200\\H_A: \mu \neq 200$

We use Two-tailed t test to perform this hypothesis.

b) Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$ Putting all the values, we have

$t_{stat} = \displaystyle\frac{211.5 - 200}{\frac{18.5}{\sqrt{20}} } = 2.7799$

c) Now,

$t_{critical} \text{ at 0.05 level of significance, 19 degree of freedom } = \pm 2.0930$

Since, the calculated t-statistic does not lie in the range of the acceptance region(-2.0930,2.0930), we reject the null hypothesis.

Thus, the sample does not contradicts the manufacturer's claim.

d) P-value = 0.011934

Since the p-value is less than the significance level, we reject the null hypothesis and accept the alternate hypothesis.

Yes, both approach the critical value and the p-value approach gave the same results.

4 0

3 years ago

Suppose the contact rate for a phone survey is 78% and that 22% of people will participate in that survey. Assume that agreeing

Gnoma [55]

Remember that, for independent events, the probability that both occurr is the product of the individual probabilities.

a) Probability of being contacted: 78% = 0.78

Probaility of refusing: 1 - 22% = 1 -0.22 = 0.78

Combined probability: 0.78*0.78 = 0.6084

b) The probability of failing to contact or making contact and not geeting them to agree 1 - the probability of contacting and getting them to agree.

The probabilityof contacting and getting them to agree is 0.78*0.22 = 0.1716

The the answer to this question is 1 - 0.1716 = 0.8284

8 0

3 years ago