Can someone please help me solve this?

Mathematics

1 answer:

evablogger [386]3 years ago

3 0

Answer:

x=15

Step-by-step explanation:

side PQ =side QR

8x-27=4x+33

8x-4x=33+27

4x=60

x=60/4

x=15

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Gwar [14]

Answer:

4 ther are 4 line symmetery

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2 years ago

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some psychologists believe that a genius should be defined as anyone having an IQ over 140. If IQ scores are normally distribute

denis23 [38]

Answer:

61,239,550

Step-by-step explanation:

We let the random variable X denote the IQ scores. This would imply that X is normal with a mean of 100 and standard deviation of 17. We proceed to determine the probability that an individual chosen at random from the population would be a genius, that is;

Pr( X>140)

The next step is to evaluate the z-score associated with the IQ score of 140 by standardizing the random variable X;

$Pr(X>140)=Pr(Z>\frac{140-100}{17})=Pr(Z>2.3529)$

The area to the right of 2.3529 will be the required probability. This area from the standard normal tables is 0.009314

From a population of 6,575,000,000 the number of geniuses would be;

6,575,000,000*0.009314 = 61,239,550

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3 years ago

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Assessment items What is the quotient? 1 5/8 ÷(−1 3/5 )

Solnce55 [7]

We need convert the mixed numbers to improper fractions.

$1\dfrac{5}{8}=\dfrac{1\cdot8+5}{8}=\dfrac{8+5}{8}=\dfrac{13}{8}\\\\1\dfrac{3}{5}=\dfrac{1\cdot5+3}{5}=\dfrac{5+3}{5}=\dfrac{8}{5}$

Divide the number by a fraction, this is the same as multiply this number by the reciprocal of the fraction:

$1\dfrac{5}{8}\div\left(-1\dfrac{3}{5}\right)=-\dfrac{13}{8}\div\dfrac{8}{5}=-\dfrac{13}{8}\cdot\dfrac{5}{8}=-\dfrac{(13)(5)}{(8)(8)}=-\dfrac{65}{64}\\\\\boxed{1\dfrac{5}{8}\div\left(-1\dfrac{3}{5}\right)=-1\dfrac{1}{64}}$