How many different user ID's can be formed from the letters W, X, Y, Z if no repetition of letters is allowed?

Answer:

32%

Step-by-step explanation:

Let x be the mean of the values and σ their standard deviation.

Since the minimum value of the diameter of the washers is 1.53 mm, then

x - σ = 1.53 mm  (1)

Also, the maximum value of the diameter of the washers is 1.65 mm, then

x + σ = 1.65 mm  (2)

Adding (1) and (2), we have

x - σ = 1.53 mm

+

x + σ = 1.65 mm  

2x = 3.18

x = 3.18/2

x = 1.59 mm

Subtracting (1) and (2), we have

x - σ = 1.53 mm

-

x + σ = 1.65 mm  

-2σ = -0.12

σ = -0.12/-2

σ = 0.06 mm

Since the diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long, and x - σ = 1.53 mm to x + σ = 1.65 mm are the required values, 68% of the washers lie in this range. The other values lie outside this range. The amount that the factory would have to discard is 100% - 68% = 32%

This question is based on the percentage. Thus, 32%  of washers will the factory have to discard.

Given:

The diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long.

We need to determined the percentage of washers will the factory have to discard.

According to question,

Let x be the mean and σ be their standard deviation.

The minimum value of the diameter of the washers is 1.53 mm.

Then,

x - σ = 1.53 mm  (1)

Also, the maximum value of the diameter of the washers is 1.65 mm, then

x + σ = 1.65 mm  (2)

Adding (1) and (2), we have

   x - σ = 1.53 mm  

+  x + σ = 1.65 mm  

⇒ 2x = 3.18

We get,

x = 1.59 mm

Subtracting (1) and (2), we have

 x - σ = 1.53 mm

- x + σ = 1.65 mm  

⇒ -2σ = -0.12

We get,

σ = 0.06 mm

Therefore, the diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long, and x - σ = 1.53 mm to x + σ = 1.65 mm are the required values, 68% of the washers lie in this range.

And the other values lie outside this range. The amount that the factory would have to discard is 100% - 68% = 32%.

Thus, 32%  of washers will the factory have to discard.

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Answer:

its sas side angle side plz mark me branliest

Answer:

abdef (those are the answers)

Step-by-step explanation:

Answer:

all but C

Step-by-step explanation:

Answer:

109.27 ft²

Step-by-step explanation:

SA = face + face + curve

SA = 2πr² + 2πrw

= 2π(2.625)² + 2π(2.625)(4)

= ~43.3 + ~65.97 = 109.27 = SA

Answer:

x=6

Step-by-step explanation:

7x+5+13x-8+11x-3=180

31x-6=180

31x=186

x=186÷31

x=6

I wrote the wrong answer so I erased it

Answer:

a) 67.6% of students is expected to pass the course

b) 0.9112 = 91.12% probability that he/she attended classes on Fridays

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

a. What percentage of students is expected to pass the course?

88% of 70%(attended class)

20% of 100 - 70 = 30%(did not attend class). So

[tex]p = 0.88*0.7 + 0.2*0.3 = 0.676[/tex]

0.676*100% = 67.6%

67.6% of students is expected to pass the course.

b. Given that a person passes the course, what is the probability that he/she attended classes on Fridays?

Here, we use conditional probability:

Event A: Passed the course

Event B: Attended classes on Fridays.

67.6% of students is expected to pass the course.

This means that [tex]P(A) = 0.676[/tex]

Probability that passed and attended classes on Friday.

88% of 70%

This means that:

[tex]P(A \cap B) = 0.88*0.7 = 0.616[/tex]

Then

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.616}{0.676} = 0.9112[/tex]

0.9112 = 91.12% probability that he/she attended classes on Fridays

Answer:

m<1 = 97°

Step-by-step explanation:

<1 and 83° are same-side interior angles. Same-side interior angles are supplementary. This implies that:

m<1 + 83° = 180°

Therefore:

m<1 + 83° - 83° = 180° - 83° (subtraction property of equality)

m<1 = 97°

Answer:

<1=97°

steps:

<1+83=180 co interior angle

<1=180-83=97°

Answer:

10, 20, 40

Step-by-step explanation:

Answer and Step-by-step explanation:

The first three numbers are 10, 20 and 40.

This is because the sequence is being increased by twice the previous number.

To get from 10 to 20, you multiply by 2, to get from 20 to 40, we multiply by 2, to get from 40 to 80, we multiply by 2, to get to 80 to 160, we multiply by 2, and so on.

#teamtrees #PAW (Plant And Water)

Answer:

8 bowls

Step-by-step explanation:

10=40/4

1 1/4=5/4

40/4 divided by 5/4=160/20

160/20=8/1

Answer: the answer is 8

Step-by-step explanation:

Answer:

3 feet

Step-by-step explanation:

If the length is 4 feet, there are two lengths so you get 8

14-8= 6

Because there are two widths, you do 6 divided 2 and you get 3 feet

Answer:

C. 66n - 31m

Step-by-step explanation:

26n - 7m + 4(10n - 6m)

26n - 7m + 40n - 24m

26n - 31m + 40n

66n - 31m

Answer:

180

Step-by-step explanation:

Every hour is 60 minutes. To find the total number of minutes she studied, you would have to multiply 3 x 60.

3 x 60 = 180

Answer: 180 minutes.

Step-by-step explanation: 3 hours is equal to 60+60+60 because there is 60 minutes in 1 hour so 60+60 is 120+60=180 therefore, she studied for 180 minutes.

Answer:

1/5

Step-by-step explanation:

because u divied

Answer:

b = 3

Step-by-step explanation:

Isolate the variable, b. Note the equal sign, what you do to one side, you do to the other:

First, distribute 3 to all terms within the parenthesis:

3(3x + 1) =

3 * 3x = 9x

3 * 1 =  3

9x + b = 9x + 3

Isolate the variable, b. Subtract 9x from both sides:

9x (-9x) + b = 9x (-9x) + 3

b = 3

3 is your value for b.

~

Answer:

30.5°

Step-by-step explanation:

Supplementary angles add up to 180°. You know one angle is 149.5°, so you can find the other angle.

Measure of its supplementary angle = 180° - 149.5°

                                                             = 30.5°

Step-by-step explanation:

It is given that mode of certain scores is x It means x is the score with highest frequency.

common difference is -3

So, the new mode of the score is

New Mode = 3

Therefore the new mode of the new series is x-3.

Answer:

A = (-7,6)

B = (2,4)

C = (-6,0)

Step-by-step explanation:

A = (-9 + 2, 2 + 4)

B = (0 + 4, 0 + 4)

C = (-8 + 2, -4 + 4)

Answer: Hello the statement related to your question is missing attached below is the statement

answer : The statement is false

Step-by-step explanation:

The statement is false

This is because a confidence interval gives a range of values for an unknown parameter.

A 95% confidence interval is calculated and it gives a lower and upper limit in which the 58% of the voters can fall into i.e. The 58% of voters can fall within the upper and lower limit of the 95% confidence interval and not exactly 95% . Hence the statement is false.

Answer:

See Below.

Step-by-step explanation:

We want to verify the trigonometric identity:

[tex]\cos^2(5x)-\sin^2(5x)=\cos(10x)[/tex]

For simplicity, we can let u = 5x. Therefore, by substitution, we acquire:

[tex]\cos^2(u)-\sin^2(u)[/tex]

Recall the double-angle identity formula(s) for cosine:

[tex]\displaystyle \begin{aligned} \cos(2x)&=\cos^2(x)-\sin^2(x)\\&=2\cos^2(x)-1\\&=1-2\sin^2(x)\end{aligned}[/tex]

Therefore, our identity becomes:

[tex]=\cos(2u)[/tex]

Back-substitute:

[tex]=\cos(2(5x))=\cos(10x)\stackrel{\checkmark}{=}\cos(10x)[/tex]

Hence proven.

cos²A - sin²A = cos2A, this is a general indentity where A can have any random value x/2, y/3, 1/8, 8, 9 etc.

Replacing A with 5x:

=> cos²(5x) - sin²(5x) = cos²(10x)

Moreover,

cos(A + B) = cosAcosB - sinAsinB.

When A = B,

cos(A + A) = cosAcosA - sinAsinA

cos2A = cos²A - sin²A

You can do the same with 5x.

cos(10x) = cos(5x + 5x)

cos(10x) = cos(5x)cos(5x) - sin(5x)sin(5x)

cos(10x) = cos²(5x) - sin²(5x)

Answer:

A=30  B=90  C=60

Step-by-step explanation:

A=30 C=60  B=90

Answer:

$1,105.08.

Step-by-step explanation:

Given that Alice invests $ 1000 at 2% interest compounded monthly over a 5 year period, assuming no other money is deposited or withdrawn, to determine what is the total amount of money in her account after 5 years, the following calculation must be performed:

X = 1,000 (1 + 0.02 / 12) ^ 5x12

X = 1,105.08

Thus, the amount of money in her account after 5 years would be $ 1,105.08.

Answer:

The mass of the larger hummingbird is 7 1/2 or 15/2.

Step-by-step explanation:

Bee hummingbird = 1 1/4g

Larger hummingbird = 6x that

So,

1 1/4 x 6 = 7.5

7.5 as fraction = 7 1/2 or 15/2

Answer:

Step-by-step explanation:

Use the Pythagorean Theorem.

h² = 5² - 3² = 4²

h = 4 in

Answer:

B

Step-by-step explanation:

Answer:

45-degrees

Step-by-step explanation:

The triangle is a 90-degree triangle

Triangles = 180-degrees

90 + 45 + 45 = 180

Answer:

-1,-3 is on quadrant 3

-1,7 is on quadrant 2

Step-by-step explanation:

Answer:

The correct answer is B.

Step-by-step explanation:

Since Chandler, Jamal, Allison, and Qi are given the following problem: "In 1982, Wayne Gretsky set a record for the greatest number of hockey goals in one season with 92 goals. If a player has scored 60 goals this season and averages 2 goals per game, how many additional games must he play to break the record? ", And each student writes an inequality to represent the situation:

Chandler wrote 60 + 2g ≥ 92

Jamal wrote 60 + 2g> 92

Allison wrote 60 + 2g <92

Qi wrote 60 + 2g ≤ 92

To determine whose inequality is correct, the following calculation must be performed:

92 - 60 = 32

32/2 = 16

Chandler: 60 + 2x16 ≥ 92

Thus, Chandler wrote the correct option.

Answer: The account that compounds daily.

Step-by-step explanation: If you reinvest your money more frequently, then you will also be able to earn interest on the interest that you earned the previous day and so on.

Answer:

B. 4.73 and 4.97

Step-by-step explanation:

To solve this question, we need to understand the Empirical Rule and the Central Limit Theorem.

Empirical Rule:

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

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

Approximately 95% of the measures are within 2 standard deviations of the mean.

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

Central Limit Theorem

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

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

Central Limit Theorem

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

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

Standard deviation of 0.92, sample of 500:

This means that [tex]\sigma = 0.92, n = 500, s = \frac{0.92}{\sqrt{500}} = 0.04[/tex]

By the central limit theorem, which interval do 99.7% of the sample means fall within?

Within 3 standard deviations of the mean. So

4.85 - 3*0.04 = 4.85 - 0.12 = 4.73

4.85 + 3*0.04 = 4.85 + 0.12 = 4.97

So, option B.

Answer:

4.73 and 4.97

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