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3 years ago

A mystery number is multiplied by 11 then 10 is subtracted from it to give you a result of 34. What is the mystery number?

Mathematics

1 answer:

klemol [59]3 years ago

3 0

Answer:

Step-by-step explanation:

And let the missing number be x

We can solve using Algebra

11x - 10 = 34

11x = 34 + 10

11x = 44

x = 44/11

x = 4

For verification:

4(11) - 10 = 34

44 - 10 = 34

34 = 34

Hence, Proved

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This is Algebra 1 functions and I'm struggling with this one function-

Kitty [74]

Answer:

Step-by-step explanation:

f(-9) is the value of f(x) when x = -9. Therefore, f(-9) = 4 from the graph. Doing the same with g(6), we can see that g(6) = 6. Our expression becomes:

-1 * 4 + 7 * 6

= -4 + 42

= 38

7 0

4 years ago

A farmer wants to build a rectangular garden 10ft long and 6ft wide. How many feet of fencing should he buy?

Lana71 [14]

He should buy 32 feet of fencing. I got 32 by just finding the perimeter or in other words adding 10+10+6+6 which equal 32. You would NOT do area or 10×6 because that would include that land within the fenced area and who wants 60 feet of fencing that you can't put anything in?

Good luck, hope that helped.

6 0

3 years ago

Deb ran 2 1/2 miles, and Christina ran 10/4 miles. Who ran farther.

Illusion [34]

Answer:

they both ran the same distance

Step-by-step explanation:

divide 10 by 4 that equals 2.5

2 and 1/2 equals 2.5

6 0

3 years ago

Read 2 more answers

A worn, poorly set-up machine is observed to produce components whose length X follows a normal distribution with mean 14 centim

Akimi4 [234]

Answer:

74.86% probability that a component is at least 12 centimeters long.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 14$

Variance is 9.

The standard deviation is the square root of the variance.

$\sigma = \sqrt{9} = 3$

Calculate the probability that a component is at least 12 centimeters long.

This is 1 subtracted by the pvalue of Z when X = 12. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{12 - 14}{3}$

$Z = -0.67$

$Z = -0.67$ has a pvalue of 0.2514.

1-0.2514 = 0.7486

74.86% probability that a component is at least 12 centimeters long.

6 0

3 years ago

2. Suppose the temperature that most foods can stay bacteria free in restaurants varies approximately according to a normal dist

vagabundo [1.1K]

Answer:

28.4

Step-by-step explanation:

Given that:

Mean, m = 31.3

Standard deviation, s = 2.8

Since, data is normally distributed :

P(x < 0.15) gives a Z value of - 1.036

Using the Zscore formula :

Z = (x - mean) / standard deviation

-1.036 = (x - 31.3) / 2.8

-1.036 * 2.8 = x - 31.3

-2.9008 = x - 31.3

-2.9008 + 31.3 = x

28.3992 = x

The temperature which correlates to the bottom 15% of the distribution is 28.4

7 0

3 years ago