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3 years ago

If the sum of a number and four is doubled, the result is six less than the number. Find the number

Mathematics

1 answer:

oee [108]3 years ago

7 0

Answer: the number is -14

Step-by-step explanation: let the number be x

2(x+4) = x-6

2x+8 = x-6

2x-x = -6-8

x = -14

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3 years ago

Let f(x) = 3x - 10. Find the value of f(-3).

laiz [17]

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6 0

3 years ago

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xenn [34]

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3 years ago

Read 2 more answers

Normal Distribution. Cherry trees in a certain orchard have heights that are normally distributed with mu = 112 inches and sigma

Lubov Fominskaja [6]

Answer:

The probability that a randomly chosen tree is greater than 140 inches is 0.0228.

Step-by-step explanation:

Given : Cherry trees in a certain orchard have heights that are normally distributed with $\mu = 112$ inches and $\sigma = 14$ inches.

To find : What is the probability that a randomly chosen tree is greater than 140 inches?

Solution :

Mean - $\mu = 112$ inches

Standard deviation - $\sigma = 14$ inches

The z-score formula is given by, $Z=\frac{x-\mu}{\sigma}$

Now,

$P(X>140)=P(\frac{x-\mu}{\sigma}>\frac{140-\mu}{\sigma})$

$P(X>140)=P(Z>\frac{140-112}{14})$

$P(X>140)=P(Z>\frac{28}{14})$

$P(X>140)=P(Z>2)$

$P(X>140)=1-P(Z$

The Z-score value we get is from the Z-table,

$P(X>140)=1-0.9772$

$P(X>140)=0.0228$

Therefore, the probability that a randomly chosen tree is greater than 140 inches is 0.0228.

5 0

3 years ago

Laura drove 638 miles in 11 hours at the same rate how long would it take her to drive 406 miles

shusha [124]

Answer:

Step-by-step explanation:

This is a d = rt problem; but since it is linear, then proportions will work too. Set up the proportion with miles on top and hours on the bottom:

$\frac{miles}{hrs}:$

Then put the numbers in where they go, keeping in mind that miles goes with miles and hours goes with hours in the ratios, and that our unknown is time (hours):

$\frac{miles}{hrs}:\frac{638}{11}=\frac{406}{x}$ and cross multiply to solve:

638x = 4466 so

x = 7 hrs

6 0

2 years ago