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3 years ago

Write an answer in the form of rooted ax+b=x+c

1 answer:

5 0

Lets solve for a
ax+b=x+c
step 1:add -b to both sides
ax+b-b=c+x+-b
step 2:divide both sides
ax=-b+c+x
ax/x=-b+c+x/x
a=-b+c+x/x
answer:
a=-b+c+x/x

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According to records, the amount of precipitation in a certain city on a November day has a mean of 0.10 inches; with a standard

Alecsey [184]

Answer:

Probability that the mean daily precipitation will be 0.09 inches or less for a random sample of 40 November days is 0.103.

Step-by-step explanation:

We are given that according to records, the amount of precipitation in a certain city on a November day has a mean of 0.10 inches; with a standard deviation of 0.05 inches.

A random sample of 40 November days is taken(taken over many years).

Let $\bar X$ = sample mean daily precipitation

The z score probability distribution for sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean = 0.10 inches

$\sigma$ = population standard deviation = 0.05 inches

n = sample of days = 40

Now, the probability that the mean daily precipitation will be 0.09 inches or less is given by = P( $\bar X$ $\leq$ 0.09 inches)

P( $\bar X$ $\leq$ 0.09 inches) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ $\leq$ $\frac{0.09-0.10}{\frac{0.05}{\sqrt{40} } }$ ) = P(Z $\leq$ -1.265) = 1 - P(Z < 1.265)

= 1 - 0.8971 = 0.1029

The above probability is calculated by looking at the value of x = 1.265 from the z table which will lie between x = 1.26 and x = 1.27 which has an area of 0.89617 and 0.89796 respectively.

Hence, the probability that the mean daily precipitation will be 0.09 inches or less for a random sample of 40 November days is 0.103.

8 0

3 years ago

The algebraic expression

Sati [7]

Answer:

Step-by-step explanation:

$3x^2-4x+7-2(1-2x+x^2)=3x^2-4x+7-2+4x-2x^2=x^2+5$

a=1,c=5

3 0

4 years ago

8 times the sum of a number and 26 is less than 304.

Jlenok [28]

Answer:

x < 12

Step-by-step explanation:

So 8 times the sum of a number and 26 is less than 304. To find the number, lets write a equation where the "number" is x.
8 times the sum of a number and 26 can be written as 8 * x+26, however since the sum of x and 26 are being multiplied, we write this as 8(x+26). Since 8 times the sum of a number and 26 is less than 304, we set 8(x+26) to < 304. This gives us our equation:

8(x+26) < 304

Lets start to solve for x by dividing by 8, giving us:

x+26 < 38

Now lets isolate x by subtracting 26 from both sides, which gives us our answer:

x < 12

So x is less than 12.

Hope this helps!

7 0

1 year ago

grace scored 17 ot of 20 on her reading quiz and 20 out of 25 on her science quiz. on which quiz did grace score a higher percen

almond37 [142]

Her reading quiz, because in order to find a percent dive 17 by 20 (or 20 by 25) and multiply the answer by 100.

8 0

3 years ago

Read 2 more answers

The statement 2n^2+5n-25=0 opens up because

iragen [17]

The graph of 2n^2 +5n -25 opens up because the coefficient of n^2 is positive.

____
The statement 2n^2 +5n -25 = 0 defines two values of n.

4 0

4 years ago