How to get an equation with perpendicular lines. (-6,2) and x=4

1 answer:

6 0

This could be wrong but..
Find the negatice reciprocal of the slope of the origial line and use the slope-intercept form y=mx+b to find the line perpendicular to x=4

Y=2

Sorry if this is wrong :/

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At a local sandwich shop the average customer spends $25 at dinner with a standard deviation of $2.30. In a simple random sample

oee [108]

Answer:

The probability that the mean receipt for dinner is between $24.50 and $25.50 is

P(24.50≤ x ≤ 25.50)= 0.8324

Step-by-step explanation:

Step(i):-

Given mean of Population(μ) = $25

Given standard deviation of the Population (σ) = 2.30

Sample size 'n' = 40

Let 'X' be the random variable in normal distribution

Given X₁ = 24.50

$Z_{1} =\frac{x-mean}{\frac{S.D}{\sqrt{n} } } = \frac{24.50-25}{\frac{2.30}{\sqrt{40} } } = -1.375$

Given X₂ = 25.50

$Z_{2} =\frac{x-mean}{\frac{S.D}{\sqrt{n} } } = \frac{25.50-25}{\frac{2.30}{\sqrt{40} } } = 1.3751$

Step(ii):-

The probability that the mean receipt for dinner is between $24.50 and $25.50

P(x₁≤ x ≤ x₂) = P(Z₁≤ z ≤ Z₂) = A(Z₂) + A(z₁)

P(24.50≤ x ≤ 25.50) = P(-1.375≤ z ≤ 1.375) = A(1.375) + A(1.375)

P(24.50≤ x ≤ 25.50)= 2 A( 1.375)

= 2 × 0.4162 ( from normal table)

= 0.8324

Final answer:-

The probability that the mean receipt for dinner is between $24.50 and $25.50 is 0.8324

4 0

3 years ago

Which is bigger 2.75 gallons orb12 liters

natima [27]

12 liters because 2.75 gallons is not greater then 12 liters.

7 0

4 years ago

Read 2 more answers

How do you make a equivalent ratio?

GarryVolchara [31]

$\bf Rowley\quad 16:14\implies \cfrac{16}{14}\qquad Rivera\quad 64:60\implies \cfrac{64}{60}
\\\\\\
\textit{so, simplifying both fractions }
\begin{cases}
\cfrac{16}{14}\implies \cfrac{8}{7}\\\\
\cfrac{64}{60}\implies \cfrac{16}{15}
\end{cases}\qquad \cfrac{8}{7}\ne \cfrac{16}{15}$