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3 years ago

Stan says that the least common multiple of 6 and 8

Mathematics

1 answer:

Kazeer [188]3 years ago

5 0

Then the lest multiple of 6 and 8 are 5 and 7 duh

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Aaron gives an estimate of 2 for the quotient in a division problem his teacher says his estimate is reasonable if the divisor i

viva [34]

B because it's the closest to 8

6 0

3 years ago

Doing research for insurance rates, it is found that those aged 30 to 49 drive an average of 38.7 miles per day with a standard

Alja [10]

Answer: 0.4302

Step-by-step explanation:

Given : Mean : $\mu=\text{38.7 miles }$

Standard deviation : $\sigma=\text{6.7 miles }$

Sample size : $n=60$

Also, these distances are normally distributed.

Then , the formula to calculate the z-score is given by :-

$z=\dfrac{x-\mu}{\sigma}$

For x=32.5

$\\\\ z=\dfrac{32.5-38.7}{6.7}=-0.925373134\approx-0.93$

For x=40.5

$\\\\ z=\dfrac{40.5-38.7}{6.7}=0.268656\approx0.27$

The p-value = $P(-0.93$

$=P(0.27)-P(-0.93)=0.6064198- 0.1761855=0.4302343\approx0.4302$

Hence, the required probability :-0.4302

3 0

3 years ago

How to graph a standard form equation

Svetach [21]

This formule is
ax + bx = c
ex
y =2x - 4
-2x + y = -4
-( -2x + y = -4)
2x - y = 4

5 0

3 years ago

The line through (4,-1) and (k,5) is parallel to the line y=-3x+5. FInd the value of k.

Tema [17]

Answer:

k = 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 5 ← is in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes, thus the 2 points have a slope of - 3

calculate the slope using the slope formula and equate to - 3

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (4, - 1) and (x₂, y₂ ) = (k, 5)

m = $\frac{5+1}{k-4}$ = $\frac{6}{k-4}$ = - 3 ( multiply both sides by (k - 4) )

- 3(k - 4) = 6 ( divide both sides by - 3 )

k - 4 = - 2 ( add 4 to both sides )

k = 2

3 0

3 years ago

Choose any four consecutive even numbers. (For example: 6, 8, 10, 12). Multiply the two middle numbers together. (e.g. 8 x 10 =

Ludmilka [50]

Answer:

Step-by-step explanation:

let the consecutive even numbers be 2n-2,2n,2n+2,2n+4 where n>0 and n is an integer.

2n(2n+2)-(2n-2)(2n+4)

=4n²+4n-(4n²+8n-4n-8)

=4n²+4n-4n²-8n+4n+8

6 0

3 years ago