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Elden [556K]
3 years ago
7

Write the equation of the line fully simplified slope-intercept form.

Mathematics
1 answer:
Savatey [412]3 years ago
3 0

Answer:

y=-3/2x+5

Step-by-step explanation:

you look for your y-intercept first then you find 2 points and do rise over run to get y=-3/2x+5

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The 9 is in the Tenths place

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In a population of similar households, suppose the weekly supermarket expense for a typical household is normally distributed wi
Rina8888 [55]

Answer:

P(Y ≥ 15) = 0.763

Step-by-step explanation:

Given that:

Mean =135

standard deviation = 12

sample size n  = 50

sample mean \overline x = 140

Suppose X is the random variable that follows a normal distribution which represents the weekly supermarket expenses

Then,

X \sim N ( \mu \sigma)

The probability that X is greater than 140 is :

P(X>140) = 1 - P(X ≤ 140)

P(X>140) = 1 - P( \dfrac{X-\mu}{\sigma} \leq \dfrac{140-135}{12})

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From z tables,

P(X>140) = 1 - 0.6628

P(X>140) = 0.3372

Similarly, let consider Y to be the variable that follows a binomial distribution of the no of household whose expense is greater than $140

Then;

Y \sim Binomial (np)

Y \sim Binomial (50,0.3372)

∴

P(Y ≥ 15) = 1- P(Y< 15)

P(Y ≥ 15) = 1 - ( P(Y=0) + P(Y=1) + P(Y=2) + ... + P(Y=14) )

P(Y \geq 15) = 1 - \begin {pmatrix} ^{50}_0 \end {pmatrix} (0.3372)^0 (1-0,3372)^{50} + \begin {pmatrix} ^{50}_1 \end {pmatrix} (0.3372)^1 (1-0,3372)^{49}  + \begin {pmatrix} ^{50}_2 \end {pmatrix} (0.3372)^2 (1-0,3372)^{48} +...  + \begin {pmatrix} ^{50}_{50{ \end {pmatrix} (0.3372)^{50} (1-0,3372)^{0}

P(Y ≥ 15) = 0.763

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3 years ago
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16 (2)
24 (3)
32 (4)
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marusya05 [52]
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4 years ago
Complete the steps to demonstrate why you multiply by the reciprocal when dividing fractions. Find 1/4 ÷ 3/8. ..................
Nataliya [291]
<span>To complete the steps to demonstrate why you multiply by the reciprocal when dividing fractions.

To find
\frac{1}{4}\div\frac{3}8}

Step 1:
Rewrite it as
\frac{\frac{1}{4}}{\frac{3}{8}}.


Step 2:
Multiply the numerator and the denominator by the reciprocal of
\frac{3}{8}.</span><span>

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Step 3:
Simplify the denominator
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Step 4:
Simplify the fraction
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We complete the solution as follows:
</span><span><span>\frac{1}{4}\times\frac{8}{3}=\frac{1\times8}{4\times3}\\ \\=\frac{8}{12}=\frac{4\times2}{4\times3}=\frac{2}{3}</span></span>
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3 years ago
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