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3 years ago

Which of the following pairs of numbers has a GCF of 1? 30 and 70 24 and 44 12 and 30 16 and 21

Mathematics

2 answers:

enyata [817]3 years ago

8 0

16 to 21 is the answer...

stiv31 [10]3 years ago

5 0

Must be 16 and 21 because we can see

30 and 70 has 10 as factor
24 and 44 has 2 as factor
12 and 30 has 2 as factor and all those factors are greater than one

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A street is drawn by dilating segment FG¯ about center A with a scale factor greater than 0 but less than 1. Is this an enlargem

Arte-miy333 [17]

Answer: This is an reduction.

Step-by-step explanation:

A dilation a king of transformation that creates an similar image (about a center of dilation) of the actual figure by changing its size with the use of a scale factor(k).

It either shrinks or stretches the image.

If |k| is greater than 1 then the image is an enlargement .
If |k| is less than 1 then the image is an reduction.
If |k| is equals to 1 then there is no change in size.

Given : A street is drawn by dilating segment $\overline{FG}$ about center A with a scale factor greater than 0 but less than 1.

Then by using (2.) , we can say that this is an reduction.

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2 years ago

The LB Company has long manufactured a light bulb with an average life of 5400 hours. Company researchers have recently develope

elena55 [62]

<h2><u>Answer with explanation</u>:</h2>

Let $\mu$ be the average life of light bulbs.

As per given , we have

Null hypothesis : $H_0 : \mu =5400$

Alternative hypothesis : $H_a : \mu >5400$

Since $H_a$ is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.

Formula for Test statistic : $z=\dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

where, n= sample size

$\overline{x}$ = sample mean

$\mu$ = Population mean

$\sigma$ =population standard deviation

For $n=95,\ \overline{x}=5483\ \&\ \sigma=500$ , we have

$z=\dfrac{5483-5400}{\dfrac{500}{\sqrt{95}}}=1.61796786124\approx1.6180$

Using z-value table , Critical one-tailed test value for 0.06 significance level :

$z_{0.06}=1.5548$

Decision : Since critical z value (1.5548) < test statistic (1.6180), so we reject the null hypothesis .

[We reject the null hypothesis when critical value is less than the test statistic value .]

Conclusion : We have enough evidence at 0.06 significance level to support the claim that the new filament yields a longer bulb life

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3 years ago

The efficiency for a steel specimen immersed in a phosphating tank is the weight of the phosphate coating divided by the metal l

34kurt

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Temp. 174 176 177 178 178 179 180 181

Ratio 0.86 1.31 1.42 1.01 1.15 1.02 1.00 1.74

Temp. 184 184 184 184 184 185 185 186

Ratio 1.43 1.70 1.57 2.13 2.25 0.76 1.37 0.94

Temp. 186 186 186 188 188 189 190 192

Ratio 1.85 2.02 2.64 1.53 2.48 2.90 1.79 3.16

Using the online linear regression calculator, the lie of best fit which models the data above is :

ŷ = 0.09386X - 15.55523

Where ;

X = independent variable

ŷ = predicted or dependent variable

- 15.55523 = intercept

0.09386 = gradient / slope

Point estimate when tank temperature is 186

ŷ = 0.09386(186) - 15.55523

ŷ = 17.45796 - 15.55523

ŷ = 1.90273

Residual error (y - ŷ), ŷ = 1.90273 when x = 186

(0.94 - 1.90273) = −0.96273

(1.85 - 1.90273) = −0.05273

(2.02 - 1.90273) = 0.11727

(2.64 - 1.90273) = 0.73727

To determine the proportion of observed variation in efficiency ratio, we find the Coefficient of determination R^2, which can be found using the online Coefficient of determination calculator : the r^2 value obtained is 0.4433.

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2 years ago

In an experiment involving single-cell RNA sequencing (scRNA-seq), researchers looked at the expression levels of a particular g

sineoko [7]

The population difference within the pair is normal.

The population distribution of mice with and without diabetes are identical.

mRNA population distribution for mice with diabetes is shifted relative to the population distribution for mice without diabetes.

Conclusion,

the two population has same shape , the two samples are independent simple random samples and the two samples are paired , the population means are the same .

Hence, each of the two population distribution is normal.

To learn more about population difference

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11 months ago

What is the value of y?<br><br> Enter your answer in the box.

Dennis_Churaev [7]

You must know that the sum of interior angles is 180°. We also know that AC and BA are congruent which means angles B and C are also congruent. To find x we can assume 25=5x. Which makes x=5, and angle C=25°.

Then we can add all the angles to find y and A. 25+25+(3y+70)=180. Then solve for y and then solve for angle A.

5 0

3 years ago

Read 2 more answers