The sum of two numbers is 41. The smaller number is 11 less than the larger number. What are the numbers?

bazaltina [42]

21) option C

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4 0

2 years ago

What happens to the mean of the data set {10, 2, 8, 9, 5, 2, 6} if the number 12 is added to the data set? A. The mean increases

Setler [38]

Answer:

C. The mean increases by 0.75.

Step-by-step explanation:

The mean of a data set is given by the sum of all its values, divided by the number of values.

Data set {10, 2, 8, 9, 5, 2, 6}

7 values

Sum: 10 + 2 + 8 + 9 + 5 + 2 + 6 = 42

Mean: 42/7 = 6

Adding number 12 to the data set

Now we have 8 values

The sum is 42 + 12 = 54

The mean is 54/8 = 6.75

This means that the mean increases by 0.75.

7 0

2 years ago

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one of the comers of a cube is sliced off the resulting cross section will have a minimum of ? Sides ?

Molodets [167]

a corner of a cube connects 3 sides to each other,

then add the side of the cut

so it would have 4 sides

8 0

2 years ago

Making handcrafted pottery usually takes two major steps:wheel throwing and firing. The time of wheel throwing and thetime of fi

levacccp [35]

Answer:

a) $P(R$

And we can find this probability using the normal standard table or excel and we got:

$P(z$

b) $P(R>110)=P(\frac{R-\mu}{\sigma}>\frac{110-\mu}{\sigma})=P(Z>\frac{110-100}{3.606})=P(Z>2.774)$

And we can find this probability using the complement rule and the normal standard table or excel and we got:

$P(z>2.774)=1-P(Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the time for the step 1 and Y the time for the step 2, we define the random variable R= X+Y for the total time and the distribution for R assuming independence between X and Y is:

$R \sim N(40+60 = 100,\sqrt{2^2 +3^2}= 3.606 s)$

Where $\mu=65.5$ and $\sigma=2.6$

We are interested on this probability

$P(R$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{R-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(R$

And we can find this probability using the normal standard table or excel and we got:

$P(z$

Part b

$P(R>110)=P(\frac{R-\mu}{\sigma}>\frac{110-\mu}{\sigma})=P(Z>\frac{110-100}{3.606})=P(Z>2.774)$

And we can find this probability using the complement rule and the normal standard table or excel and we got:

$P(z>2.774)=1-P(Z$

8 0

3 years ago

Read 2 more answers

katie bought 4 sweaters that each cost the same amount and 1 skirt that costs 20$. The items she bought cost a total of 160$ bef

Alika [10]

Hello, in order to solve this you first need to take $20 subtracted from 160 that leaves you with 140 next because she bought 4 sweaters you need to divide your remaining cash spent by 4 to get a total of $35 a sweater.

I hope this is what you were looking for, have a great day!

8 0

2 years ago