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Svetradugi [14.3K]
4 years ago
13

HELP ASAP MARKING AS BRINLIST

Mathematics
2 answers:
weeeeeb [17]4 years ago
8 0

Answer:

Because they are equal (Right angle)

Two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

RUDIKE [14]4 years ago
4 0

Answer:

Hello There the answer is Δ QUT ≅ Δ SVR. (Proved)

Step-by-step explanation:

See the given diagram below.

Given that QV = SU

⇒ - QV = - SU

⇒ QS - QV = QS - SU

⇒ SV = QU .......... (1)

Now, also given that QT = SR

Then between Δ QUT and Δ SVR,  

(i) QT = SR {Given}

(ii) QU = SV {Already prooveed}

and  (iii) ∠ QUT = ∠ SVR {They are 90°}

Therefore, by Side-Side-Angle i.e. SSA criteria it is proved that Δ QUT ≅ Δ SVR. (Proved)

Hope it helps!

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Answer:

0.06 or 6%

Step-by-step explanation:

I=Prt, so r= 1/(Pt)

T= 9 months/12 months=0.75

R=$18/($400*0.75)=0.06 or 6%

Note the * is times

7 0
3 years ago
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Bess [88]
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4 years ago
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Express the sum of each pair of numbers as a product of the greatest common factor of the numbers and another sum.
Sonbull [250]
9) 147
10) 145
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8 0
3 years ago
A soccer ball manufacturer wants to estimate the mean circumference of soccer balls within 0.1 in. Determine the minimum sample
leva [86]

Answer:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2 (2)  

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025,0,1)", and we got z_{\alpha/2}=1.96, replacing into formula (2) we got:  

n=(\frac{1.96(0.25)}{0.1})^2 =24.01  

So the answer for this case would be n=25 rounded up to the nearest integer  

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)  

\sigma=0.25 represent the population standard deviation

n represent the sample size (variable of interest)  

Solution to the problem

The confidence interval for the mean is given by the following formula:  

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}  

The margin of error is given by this formula:  

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)  

And on this case we have that ME =0.1 and we are interested in order to find the value of n, if we solve n from equation (1) we got:  

n=(\frac{z_{\alpha/2} \sigma}{ME})^2 (2)  

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025,0,1)", and we got z_{\alpha/2}=1.96, replacing into formula (2) we got:  

n=(\frac{1.96(0.25)}{0.1})^2 =24.01  

So the answer for this case would be n=25 rounded up to the nearest integer  

8 0
4 years ago
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Andreas93 [3]

Answer:

47 + 40 x 4

Step-by-step explanation:

sum is adding 2 numbers together and you would then multiply 4 after adding :)

8 0
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