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Delvig [45]
3 years ago
9

Find x show steps too please will give brainliest

Mathematics
1 answer:
stich3 [128]3 years ago
3 0

Answer:

x = 7/10

Step-by-step explanation:

9/5 x -2/5 = (8x+3)/10

get a common denominator of 10

9/5 x * 2/2 - 2/5 * 2/2 = (8x+3)/10

18 /10 x - 4/10 = (8x+3)/10

multiply by 10 on each side to clear the fractions

10 *(18 /10 x - 4/10) = 10*(8x+3)/10

distribute

10 *(18 /10 x) -10* 4/10) = 10*(8x+3)/10

18x - 4 = 8x+3

subtract 8x from each side

18x-8x -4 = 8x+3 -8x

10x-4 = 3

add 4 to each side

10x-4+4 = 3+4

10x = 7

divide by 10

10x/10 = 7/10

x = 7/10

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Fofino [41]

Answer:

The probability that a jar contains more than 466 g is 0.119.

Step-by-step explanation:

We are given that a jar of peanut butter contains a mean of 454 g with a standard deviation of 10.2 g.

Let X = <u><em>Amount of peanut butter in a jar</em></u>

The z-score probability distribution for the normal distribution is given by;

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

where, \mu = population mean = 454 g

           \sigma = standard deviation = 10.2 g

So, X ~ Normal(\mu=454 , \sigma^{2} = 10.2^{2})

Now, the probability that a jar contains more than 466 g is given by = P(X > 466 g)

            P(X > 466 g) = P( \frac{X-\mu}{\sigma} > \frac{466-454}{10.2} ) = P(Z > 1.18) = 1 - P(Z \leq 1.18)

                                                                  = 1 - 0.881 = <u>0.119</u>

The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.

4 0
3 years ago
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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}

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