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3 years ago

Find the missing number: 70, 102, ?, 178, 222

Mathematics

1 answer:

irakobra [83]3 years ago

4 0

Answer:

138

Step-by-step explanation:

70 + 32 = 102

102 + 36 = 138

138 + 40 = 178

178 + 44 = 222

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I NEED MATH HELP, QUICK! PLEASE HELP ME!<br><br><br> Find f( -7) if f(x) = 3 - 2x.

goldenfox [79]

Plug in -7 for x in the equation...

f(x) = 3 - 2( - 7 )

f(x) = 3 + 14

f(x) = 17

6 0

4 years ago

A manufacturing process outputs parts having a normal distribution with a mean of 30 cm and standard deviation of 2 cm. From a p

Arisa [49]

Answer:

68% of the sample can be expected to fall between 28 and 32 cm

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 30

Standard deviation = 2

What proportion of the sample can be expected to fall between 28 and 32 cm

28 = 30-2

28 is one standard deviation below the mean

32 = 30 + 2

32 is one standard deviation above the mean

By the Empirical Rule, 68% of the sample can be expected to fall between 28 and 32 cm

7 0

3 years ago

You have been hired as the quality control office of a pharmaceutical company that manufactures aspirin tablets. According to th

Firlakuza [10]

Answer:

$P(X=0)=(24C0)(0.04)^0 (1-0.04)^{24-0}=0.375413$

$P(X=1)=(24C1)(0.04)^1 (1-0.04)^{24-1}=0.$

So then the probability that the batch would be accepeted is:

$0.375413+0.375413=0.7508$

Step-by-step explanation:

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=24, p=0.04)$

On this case p=0.04 represent the probability that a random the tablet would be NOT accepted

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

They accept the batch if there is only one or no tablet that doesn’t meet the test specification, so let's find the individual probabilities for this case:

$P(X=0)=(24C0)(0.04)^0 (1-0.04)^{24-0}=0.375413$

$P(X=1)=(24C1)(0.04)^1 (1-0.04)^{24-1}=0.$

So then the probability that the batch would be accepeted is:

$0.375413+0.375413=0.7508$

3 0

3 years ago

You purchased $132.49 worth of wheels and bearings for your skateboards. The shop charges $15 per board to install them. The tot

Mila [183]

4 skateborards will be repaired

4 0

3 years ago

Three-fourths of a cake remains after a birthday party. Each serving is 1/16 of the cake. How many servings of the cake remain?

Novay_Z [31]

Answer:

3/4 = 12/16

Step-by-step explanation:

3 x 4 = 12

4 x 4 = 16

12/16 :)

6 0

3 years ago