917x2=? yghuyghuyg its so boring, 14 more days of quarantine here :(

Neil is a drummer who purchases his drumsticks online. When practicing with the newest pair, he notices they feel heavier than u

Fynjy0 [20]

Answer:

The probability of the stick's weight being 2.33 oz or greater is 0.0041 or 0.41%.

Step-by-step explanation:

Given:

Weight of a given sample (x) = 2.33 oz

Mean weight (μ) = 1.75 oz

Standard deviation (σ) = 0.22 oz

The distribution is normal distribution.

So, first, we will find the z-score of the distribution using the formula:

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

Plug in the values and solve for 'z'. This gives,

$z=\frac{2.33-1.75}{0.22}=2.64$

So, the z-score of the distribution is 2.64.

Now, we need the probability $P(x\geq 2.33 )=P(z\geq 2.64)$ .

From the normal distribution table for z-score equal to 2.64, the value of the probability is 0.9959. This is the area to the left of the curve or less than z-score value.

But, we need area more than the z-score value. So, the area is:

$P(z\geq 2.64)=1-0.9959=0.0041=0.41\%$

Therefore, the probability of the stick's weight being 2.33 oz or greater is 0.0041 or 0.41%.

5 0

3 years ago

Write an equation in standard form of the line that contains the point (-2,4) and is parallel to (has the same slope as) the lin

CaHeK987 [17]

Answer:

The equation of the line in standard form is -8x + y = 20

Step-by-step explanation:

The standard form of the linear equation is Ax + By = C, where

A, B, and C are integers

The slope-intercept form of the linear equation is y = m x + b, where

m is the slope

b is the y-intercept

Parallel lines have equal slopes

∵ The line is parallel to the line y = 8x - 2

→ Compare it with the slope-intercept form above

∴ m = 8

∵ The parallel lines have the same slopes

∴ The slope of the line = 8

→ Substitute it in the slope-intercept form above

∴ y = 8x + b

∵ The line passes through the point (-2, 4)

∴ x = -2 and y = 4

→ Substitute x by -2 and y by 4 in the equation to find b

∵ 4 = 8(-2) + b

∴ 4 = -16 + b

→ Add 16 to both sides

∴ 4 + 16 = -16 + 16 + b

∴ 20 = b

→ Substitute the value of b in the equation above

∴ y = 8x + 20

→ Subtract both sides by 8x

∵ y - 8x = 8x - 8x + 20

∴ y - 8x = 20

→ Switch x and y

∴ -8x + y = 20

∴ The equation of the line in standard form is -8x + y = 20

8 0

3 years ago

What is the mode of the following numbers? 1,2, 10, 6, 4, 4, 6, 3, 1, 4

marysya [2.9K]

Answer:

The mode of the data set is 4.

Step-by-step explanation:

Hey there!
The mode of a data set is the most commonly occurring data value in that set.

To begin, we need to organize the data set in increasing order:

1, 1, 2, 3, 4, 4, 4, 6, 6, 10

Then, we can tally the frequency of each data value occurring in the data set:

1 - II

2 - I

3 - I

4 - III

6 - II

10 - I

We can see that there are three occurrences for the data value 4 — which is the most frequent occurrence — so 4 is our answer.

Learn more about mode here: brainly.com/question/11163338

3 0

2 years ago

Read 2 more answers

Can you please help me with this?

Crazy boy [7]

Answer:

A

Step-by-step explanation:

The volume of a prism can be found by multiplying the area of the base by the height. It is the formula V = B*h. Here B = 108. Substitute and solve.

V = 108*8 = 864

This is answer A.

7 0

3 years ago

Combine like terms . What is a simpler form of the expression? 2(x/2 -5)-3/2(x+7/4). Please Explain.

Aleks04 [339]

Are you able to expand everything first? from there you would be able to combine line terms. basically if you have 3x+2x it would combine to 5x because they have x in them.

5 0

3 years ago

Read 2 more answers