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Levart [38]
3 years ago
5

Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard deviation equals σ=20. Find

the probability that a randomly selected adult has an IQ less than 137.

Mathematics
1 answer:
GuDViN [60]3 years ago
7 0

Probability that a randomly selected adult has an IQ less than 137 is 0.9452

<u>Step-by-step explanation:</u>

<u>Step 1: </u>

Sketch the curve.

The probability that X<137 is equal to the blue area under the curve.

<u>Step 2: </u>

Since μ=105 and σ=20 we have:

P ( X<137 )=P ( X−μ<137−105 )= P(X−μ/ σ< 137−105/20 )

Since x−μ/σ=Z and 137−105/20=1.6 we have:

P (X<137)=P (Z<1.6)

<u>Step 3: </u>

Use the standard normal table to conclude that:

P (Z<1.6)=0.9452

∴ probability that a randomly selected adult has an IQ less than 137 is 0.9452.

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Sid starts with savings of £13
MAVERICK [17]

Answer:

The savings of Sid and Tim will be in 17:9 in 6 weeks.

Step-by-step explanation:

Initial savings of Sid = £ 13

Initial savings of Tim = £ 0

For each successive week Sid saved = £ 3.5

For each successive week Tim saved = £ 3

Let us assume that after "x weeks" the amounts of Sid and Tim are in ratio 17:9.

If Sid saves £ 3.5 in one week, in x weeks he will £ 3.5x. Since he had £ 13 initially, total amount he would have in x weeks will be £ (13 + 3.5x)

If Time saves £ 3 one week, in x weeks he will save £ 3x. Since, he didn't have any money initially, in x weeks he would have saved £ 3x

The ratio of their savings in x weeks would be 17:9

So,

Sid's saving : Tim's saving = 17 : 9

Using the values of expressions, we get:

13+3.5x:3x=17:9\\\\\frac{13+3.5x}{3x}=\frac{17}{9}\\\\ 9(13+3.5x)=17(3x)\\\\ 117+31.5x=51x\\\\ 117=51x-31.5x\\\\ 117=19.5x\\\\ x=\frac{117}{19.5}\\\\ x=6

This means, the savings of Sid and Tim will be in 17:9 in 6 weeks.

5 0
3 years ago
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Answer:

Step-by-step explanation:

Yes, it is a line of slope 1.

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3 years ago
What is the value of x?
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\left\{\begin{array}{ccc}x+2y=4&\text{multiply both sides by 5}\\4x-5y=42&\text{multiply both sides by 2}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}5x+10y=20\\8x-10y=84\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad13x=104\qquad\text{divide both sides by 13}\\\\\boxed{x=8}\\\\Answer:\ \boxed{\boxed{x=8}}

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3 years ago
Factor completely 5ax2 − 20x3 2a − 8x. (a 4x)(5x2 2) (a 4x)(5x2 − 2) (a − 4x)(5x2 2) (a − 4x)(5x2 − 2).
antiseptic1488 [7]

The complete factor of the polynomial 5ax² − 20x³ + 2a − 8x is (5x² + 2) (y − 4x). Then the correct option is C.

<h3>What is polynomial?</h3>

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Factor completely 5ax² − 20x³ + 2a − 8x.

Take 5x² common from the first two terms and 2 from the last two terms. we have

5ax² − 20x³ + 2a − 8x

5x²(a − 4x) + 2 (a − 4x)

Take (a - 4) common, then we have

(5x² + 2) (y − 4x)

The complete factor of the polynomial 5ax² − 20x³ + 2a − 8x is (5x² + 2) (y − 4x). Then the correct option is C.

More about the polynomial link is given below.

brainly.com/question/17822016

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2 years ago
If A=3x^2+5x-6 and B= -2x^2-6x=7, then A-B equals
Kryger [21]
Yup ur right les goo
6 0
2 years ago
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