The pencil is 10 cm long and the cup is 8 cm tall. Find the diameter of the base of the cup?

At a manufacturing plant where switches are made, it is a known fact that 2% of all switches are defective. If two switches are

olchik [2.2K]

Answer:

The probability that exactly one switch is good is

$P(x) =0.0392$

Step-by-step explanation:

The probability that a switch is defective is:

$P(D) = \frac{2}{100} =0.02$

The probability that a switch is not defective is

$P(D') = 1-P(D)=0.98$

Therefore, if two switches are selected, the probability that exactly 1 is good is:

$P(1=1)=P (D) P (D ') + P (D') P (D)$

$P(x)=(0.02)(0.98) + (0.98)(0.02)$

$P(x) =0.0392$

6 0

3 years ago

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A sample of 13 sheets of cardstock is randomly selected and the following thicknesses are measured in millimeters. Give a point

valina [46]

<h3>Answer: 0.061</h3>

===============================================

Explanation:

Add up the values to get

1.96+1.81+1.97+1.83+1.87+1.84+1.85+1.94+1.96+1.81+1.86+1.95+1.89= 24.54

Then divide over 13 (the number of values) to get 24.54/13 = 1.8876923 which is approximate.

So the mean is approximately 1.8876923

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Now make a spreadsheet as shown below

We have the first column as the x values, which are the original numbers your teacher provided. The second column is of the form (x-M)^2, where M is the mean we computed earlier. We subtract off the mean and square the result.

After we compute that column of (x-M)^2 values, we add them up to get what is shown in the highlighted yellow cell at the bottom of the column.

That sum is approximately 0.04403076924

Next, we divide that over n-1 = 13-1 = 12

0.04403076924 /12 = 0.00366923077

That is the sample variance. Apply the square root to this to get the sample standard deviation. This is the point estimate of the population standard deviation. As the name implies, it works for samples that estimate population parameters.

sqrt(0.00366923077) = 0.06057417576822

This rounds to 0.061 which is the final answer.

5 0

2 years ago

How many solutions does have 3x-6=3(x-2)<br>

Anarel [89]

Answer:

Infinite.

Step-by-step explanation:

$3x-6=3\left(x-2\right)$

Expand:

$3x-6=3x-6$

Add 6 to both sides:

$3x-6+6=3x-6+6$

$3x=3x$

Subtract 3x from both sides:

$3x-3x=3x-3x$

$0=0$

No matter what x is, it doesn't affect the answer. Thus, the equation is true for all values of x.

3 0

3 years ago

Hello pls help besties (o˘◡˘o)

goldenfox [79]

Hello bestie I cannot help you

8 0

3 years ago

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Nina purchased apples and strawberries. She purchased a total of 9 pounds of fruit and spent a total of $16.35. Strawberries cos

irina [24]

Answer:

4 pounds of strawberries and 5 pounds of apples are bought.

Step-by-step explanation:

Given:

Total number of pounds of fruit = 9 pounds

Total money spent = $16.35

Cost of 1 pound of strawberry = $1.60

Cost of 1 pound of apple = $1.99

Let 'x' pounds of strawberries and 'y' pounds of apples are bought.

So, <u><em>as per question:</em></u>

<em>The sum of the pounds is 9. So,</em>

$x+y=9\\\\y=9-x----1$

Now, total sum of the fruits is equal to the sum of 'x' pounds of strawberries and 'y' pounds of apples. So,

$1.60x+1.99y=16.35----2$

Now, plug in the 'y' value from equation (1) in to equation (2). This gives,

$1.60x+1.99(9-x)=16.35\\\\1.60x+17.91-1.99x=16.35\\\\Combining\ like\ terms, we get:\\\\1.60x-1.99x=16.35-17.91\\\\-0.39x=-1.56\\\\x=\frac{-1.56}{-0.39}=4\ pounds$

Now, from equation 1, we have:

$y=9-4=5\ pounds$

Therefore, 4 pounds of strawberries and 5 pounds of apples are bought.

4 0

3 years ago