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alexdok [17]
3 years ago
13

√108

20} " alt="9 \times \frac{13}{20} " align="absmiddle" class="latex-formula">
2\pi + 3.4

Mathematics
1 answer:
ki77a [65]3 years ago
4 0
I'm assuming your allowed to use a calculator for this? That's what I would do.
\sqrt{108}  = 10.39
To go about the fraction, take the whole number and times it by the denominator, then add in the numerator to create a new fraction(a whole one not mixed). Then simply divide the numerator by the denominator.
9 \times 20 = 180
180 + 13 = 193
193 is the new numerator and the new whole fraction is this and dividing it out gives you,
\frac{193}{20}  = 9.65
For the third one, just input it into a calculator,
2\pi + 3.4 = 9.68
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The mean amount spent by a family of four on food per month is $500 with a standard deviation of $75. Assuming that the food cos
JulijaS [17]

Answer:

The probability that a family spends less than $410 per month

P( X < 410) = 0.1151

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given mean of the population = 500 </em>

<em>Given standard deviation of the Population = 75</em>

Let 'X' be the variable in normal distribution

      Z = \frac{x-mean}{S.D}

<em>Given X = $410</em>

<em></em>Z = \frac{410-500}{75} = - 1.2<em></em>

<u><em>Step(ii):-</em></u>

The probability that a family spends less than $410 per month

P( X < 410) = P( Z < - 1.2 )

                  =  0.5 - A( -1.2)

                 = 0.5 - A(1.2)

                = 0.5 - 0.3849  ( ∵from normal table)

                = 0.1151

<u>Final answer:-</u>

The probability that a family spends less than $410 per month

P( X < 410) = 0.1151

6 0
3 years ago
Of all customers purchasing automatic garage-door openers, 70% purchase a chain-driven model. Let X = the number among the next
otez555 [7]

Answer:

P(X > 10), n = 15, p = 0.7

P(X > 10) =P(10 < X ≤ 15) = P(11 ≤ X ≤ 15) = P(X = 11, 12, 13, 14, 15)

=P(X = 11) + P(X =12) + P(X = 13) + P(X =14) + P(X = 15) (because these are disjoint events)

Step-by-step explanation:

See attached image for detailed explanation

7 0
3 years ago
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mojhsa [17]

Answer:

Step-by-step explanation:

5\pi=15.70...

To round a number to the nearest tenth , look at the next place value to the right (the hundredths)which is 0 in this question.

Thus, it will become 15.7

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3 years ago
How to do the monomials
Cerrena [4.2K]

<u>Given</u>:

The given monomial expression is \frac{16 y^{8}}{4 y^{2}}

We need to simplify the given monomial expression.

<u>Simplification:</u>

Let us simplify the given expression.

Dividing the numbers 16 and 4, we get;

\frac{4 y^{8}}{y^{2}}

Let us apply the exponent rule  \frac{x^{a}}{x^{b}}=x^{a-b} in the above expression.

Thus, we get;

4 y^{8-2}

Subtracting the numbers in the numerator of the above expression, we get;

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Thus, the simplified expression is 4 y^{6}

8 0
3 years ago
Which expression is equivalent to the given expression? 2√20 × 4√6
lapo4ka [179]

Answer:

16 sqrt(30)

Step-by-step explanation:

2√20 × 4√6

Multiply

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Simplifying

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8 *2* sqrt(30)

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7 0
3 years ago
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