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Alecsey [184]
2 years ago
10

The value of the expression -20 - 16 is 1)26 2)14 3)-14 4)-26

Mathematics
2 answers:
kolezko [41]2 years ago
4 0

Answer:

I think -1(20+16)= -1(36)= -36

vichka [17]2 years ago
3 0

Answer:

  • -36

Step-by-step explanation:

-20 - 16

=> -36.

Unfortunately, there is no option of -36. Please include -36 in one of the options.

You might be interested in
A filling machine fills bottles of nail polish with amounts that are normallydistributed with mean 18 mL and standard deviation
natulia [17]

Answer:

a. 0.2033 = 20.33% probability that one of the randomly selected bottles is filled with less than 17.5mL of nail polish

b. 0.0019 = 0.19% probability that the average fill of the twelve bottles is more than 17.5mL

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean 18 mL and standard deviation 0.6 mL.

This means that \mu = 18, \sigma = 0.6

a. What is the probability that one of the randomly selected bottles is filled with less than 17.5mL of nail polish?

This is the p-value of Z when X = 17.5. So

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

Z = \frac{17.5 - 18}{0.6}

Z = -0.83

Z = -0.83 has a p-value of 0.2033

0.2033 = 20.33% probability that one of the randomly selected bottles is filled with less than 17.5mL of nail polish.

b. What is the probability that the average fill of the twelve bottles is more than 17.5mL?

Twelve bottles, so now n = 12, s = \frac{0.6}{\sqrt{12}}

The probability is:

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{17.5 - 18}{\frac{0.6}{\sqrt{12}}}

Z = -2.89

Z = -2.89 has a p-value of 0.0019

0.0019 = 0.19% probability that the average fill of the twelve bottles is more than 17.5mL

4 0
2 years ago
For fun: 17 + -3 - 3
marysya [2.9K]

Answer:

11 or I'm just bad at math

4 0
3 years ago
SOMEONE PLZZZZZZ HELP
7nadin3 [17]

Answer:

<u><em>x = 3</em></u>

<u><em>angle B = 70 degree</em></u>

<u><em>angle C = 50 degree</em></u>

Step-by-step explanation:

<em>angle B + angle C = angle CDA ( exterior angle property)</em>

(22x+4) + (15x +5) = 120

22x + 15x + 4 + 5 = 120

37x + 9 = 120

37x = 120- 9

37x = 111

x = \frac{111}{37}

x = 3

angle B = 22x + 4

            = 22(3) +4

            = 66 +4

angle B = 70 degree

angle C = 15x+5

             = 15( 3) + 5

             = 45 + 5

angle C = 50 degree

<em>Hope this helps.</em>

3 0
2 years ago
3x + 4y = –20 <br> 6x + 5y = –7
diamong [38]

Answer:

x = 8

y = -11

Step-by-step explanation:

In this question, we have to find out the value of "x" and "y".

Solve:

Lets solve for y first.

-2(3x + 4y = -20)

6x + 5y = -7

------------

-6x - 8y = 40

6x + 5y = -7

------------

-3y = 33

Divide both sides by -3

y = -11

We now know what the value of "y" is, now we must find the value of x. To do this, we would plug -11 to "y" in one of our equations.

Solve for x:

3x + 4y = -20

3x + 4(-11) = -20

3x - 44 = -20

Add 44 to both sides.

3x = 24

Divide both sides by 3

x = 8

Now we know that our answer are:

x = 8

y = -11

5 0
3 years ago
Evaluate inverse functions <br><br> Find the following values f^-1(f(3.14)) <br> F(f(-7))
Margaret [11]

Answer:

1. 3.14

Step-by-step explanation:

If we have

f {}^{ - 1} (f(x)

That just equals

x

For example, consider function

f(x) = 2 {}^{x}

The inverse of that function is

y = 2 {}^{x}

x = 2 {}^{y}

log_{2}(x)  =  log_{2}(2 {}^{y} )

log_{2}(x)  = y

So

f {}^{ - 1} (x) =  log_{2}(x)

If we compose the function, f(x) into f^-1(x).

We get

log_{2}(2 {}^{x})  = x

That proof of that.

1. Here x=f^-1(3.14)and f(3.14) cancel out so the answer is 3.14

2. We first find f(-7) which is -12,

We then find f(-12)= 5 so the answer here is 5.

8 0
2 years ago
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