is 0.25 greater than 3/8

Answer:

512x+1 over 2^x ........................

Step-by-step explanation:

:)

Answer:22x121=2662

Step-by-step explanation:

The multiplicand is 22, the multiplier is 121 and the product is 2662.

Step-by-step explanation:

the general equation of a parabola is

y = a(x – h)² + k.

(h, k) is the vertex of the parabola.

comparing it to

y = 3(x + 4)² - 2

we see that (h, k) = (-4, -2).

the student made a sign mistake. it is "- h" in the squared factor. so, "+4" indicates "-4" as "h".

but the student simply used "+4".

Answer:

bottom right and the middle one from the left

Answer:

c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Given

- 3 ÷ - \(\frac{2}{5}\)

Leave the first number, change division to multiplication and turn the fraction upside down, that is

= - 3 × - \(\frac{5}{2}\)

= \(\frac{3(5)}{2}\)

= \(\frac{15}{2}\)

= 7 \(\frac{1}{2}\) → D

(a) No, sample is large and the standard deviation of the population is known so we do not need to know anything about the shape of the distribution. Therefore, the correct option is C.

(b) The standard error of the mean is $7.

(c) The point estimate of the population mean is $265.

(d) The 80% confidence interval for the population mean is $254.62 to $275.38.

(e) The 95% confidence interval for the population mean is $249.94 to $280.06.

a) The correct answer to whether it is necessary to know anything about the shape of the distribution of the account balances in order to make an interval estimate of the mean of all the account balances is: No, the sample is large and the standard deviation of the population is known, so we do not need to know anything about the shape of the distribution. With a large sample size, the Central Limit Theorem allows us to assume that the sampling distribution of the mean will be approximately normal. Hence, the correct answer is option C.

(b) The formula for standard error of the mean is:

SE = σ/√n

where σ is the population standard deviation, n is the sample size, and √ is the square root. Substituting the given values, we get:

SE = 77/√121

SE = 7

(c) The point estimate of the population mean is simply the sample mean, which is given as $265.

(d) To construct an 80% confidence interval, we need to use the formula:

CI = x ± zα/2 * (σ/√n)

where x is the sample mean, zα/2 is the z-score corresponding to the desired level of confidence (in this case, 80% or 0.80), σ is the population standard deviation, and n is the sample size. From the z-table, we find that the z-score for an 80% confidence interval is 1.28. Substituting the given values, we get:

CI = $265 ± 1.28 * (77/√121)

CI = $265 ± $10.38

CI = $254.62 to $275.38

(e) To construct a 95% confidence interval, we follow the same formula but use a z-score of 1.96 (from the z-table) for the desired level of confidence. Substituting the given values, we get:

CI = $265 ± 1.96 * (77/√121)

CI = $265 ± $15.06

CI = $249.94 to $280.06

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(i) The probability that an employee selected at random is in sales is approximately 9.2%.

(ii) The probability that an employee is neither in sales nor a college graduate is 36.8%.

To calculate the probabilities, let's denote the events as follows:

A = Employee is a college graduate

B = Employee is in sales

We are given the following information:

P(A) = 60% = 0.60 (probability of an employee being a college graduate)

P(B|A) = 10% = 0.10 (probability of an employee being in sales given they are a college graduate)

P(B|A') = 8% = 0.08 (probability of an employee being in sales given they are not a college graduate)

Now, let's calculate the probabilities:

(i) Probability that an employee selected at random is in sales (P(B)):

We can use the law of total probability to calculate this probability:

P(B) = P(B|A) * P(A) + P(B|A') * P(A')

= 0.10 * 0.60 + 0.08 * 0.40

= 0.06 + 0.032

= 0.092

≈ 9.2%

Therefore, the probability that an employee selected at random is in sales is approximately 9.2%.

(ii) Probability that an employee is neither in sales nor a college graduate (P(~B, ~A)):

This can be calculated as the complement of the union of the events "employee is in sales" and "employee is a college graduate":

P(~B, ~A) = 1 - P(B U A)

= 1 - [P(B) + P(A) - P(B ∩ A)]

= 1 - [P(B) + P(A) - P(B|A) * P(A)]

= 1 - [0.092 + 0.60 - 0.10 * 0.60]

= 1 - [0.092 + 0.60 - 0.06]

= 1 - 0.632

= 0.368

= 36.8%

Therefore, the probability that an employee is neither in sales nor a college graduate is 36.8%.

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Answer: John is 3 and Annie is 5

Step-by-step explanation:

because to be half of someone's age while being to years younger it would have to be 2 and 4 - but then a year passed and so the are now 3 and 5.

Answer: John is 3 and Annie is 5

Step-by-step explanation:

Half of 4 is 2 so last year John was 2 and Annie 4 and like a year has passed we add 1 to 2 and 4 which helps us determine that John is now 3 and Annie 5

The rate of change of the volume of the sphere is 100,530.96 mm^3/s

How to calculate rate of change of the volume of the sphere?

Given,

radius = r = 80 / 2 = 40 mm

rate of change radius = \(\frac{dr}{dt}\) = 5 mm/s

Formula to calculate volume of the sphere is

\(V = \frac{4}{3}\pi r^{3}\)

Differentiating the volume formula and we get new formula to calculate rate of change of the volume.

\(\frac{dV}{dt} = \frac{4}{3}\pi 3r^{2}\frac{dr}{dt}\)

Simplify to

\(\frac{dV}{dt} = 4\pi r^{2}\frac{dr}{dt}\)

Now, we put the given value to formula and calculate it

\(\frac{dV}{dt} = 4\pi (40)^{2}(5)\)

\(\frac{dV}{dt} = 100,530.96\) mm^3/s

Thus, the rate of change of the volume of the sphere is 100,530.96 mm^3/s

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Answer:

To determine whether a function is even, odd, or neither, check if the function satisfies the properties of even or odd functions algebraically. If f(x) = f(-x), the function is even. If f(x) = -f(-x), the function is odd. Otherwise, it is neither.

Step-by-step explanation:

To determine whether a given function is even, odd, or neither, we need to analyze the function's algebraic properties based on how it behaves with respect to symmetry and the sign of its variables.

Even Function: An even function is symmetric with respect to the y-axis, meaning that if you reflect the graph of the function across the y-axis, it remains unchanged. Algebraically, an even function satisfies the property: f(x) = f(-x) for all x in the function's domain.

Odd Function: An odd function is symmetric with respect to the origin (0,0), meaning that if you rotate the graph of the function by 180 degrees around the origin, it remains unchanged. Algebraically, an odd function satisfies the property: f(x) = -f(-x) for all x in the function's domain.

Neither Function: If a function does not satisfy the properties of even or odd functions, it is considered neither.To determine the nature of a specific function, you would need to provide the function itself. Please provide the function, and I will be able to help you determine whether it is even, odd, or neither.

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The probability that a combined sample from six public swimming areas will reveal the presence of E. coli bacteria is: P(X >= 1) = P(X = 1) + P(X = 2) + P(X = 3) = 0.113 + 0.016 + 0.001 = 0.13 or 13% (rounded to two decimal places).

To find the probability that a combined sample from six public swimming areas will reveal the presence of E. coli bacteria, we can use the binomial distribution formula. Let X be the number of public swimming areas out of six that reveal the presence of E. coli bacteria. Since each swimming area is either contaminated or not contaminated, we have a binomial distribution with n = 6 and p = 0.02 (the probability of finding E. coli bacteria in a public swimming area).

The probability of X = 1 is:

P(X = 1) = (6 choose 1) * (0.02)^1 * (0.98)^5 = 0.113

The probability of X = 2 is:

P(X = 2) = (6 choose 2) * (0.02)^2 * (0.98)^4 = 0.016

The probability of X = 3 is:

P(X = 3) = (6 choose 3) * (0.02)^3 * (0.98)^3 = 0.001

The probability of X = 4, 5, or 6 is negligible since the probability of finding E. coli bacteria in a public swimming area is low.

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There are 5 significant figures.

Answer:

scatter plot :)

Step-by-step explanation:

The required probabilities are as follows:
(a) P(X ≤ 6, Y = 6) = 33

(b) P(X > 6, Y ≤ 6) = 25

(c) P(X > Y) = 66

(d) P(X + Y = 13) = 13

To find the probabilities, we need to calculate the sum of the joint probability values for the given events.

(a) P(X ≤ 6, Y = 6):

We need to sum the joint probability values for X ≤ 6 and Y = 6.

P(X ≤ 6, Y = 6) = f(4, 6) + f(5, 6) + f(6, 6)

= (4 + 6) + (5 + 6) + (6 + 6)

= 10 + 11 + 12

= 33

Therefore, P(X ≤ 6, Y = 6) = 33.

(b) P(X > 6, Y ≤ 6):

We need to sum the joint probability values for X > 6 and Y ≤ 6.

P(X > 6, Y ≤ 6) = f(7, 5) + f(7, 6)

= (7 + 5) + (7 + 6)

= 12 + 13

= 25

Therefore, P(X > 6, Y ≤ 6) = 25.

(c) P(X > Y):

We need to sum the joint probability values for X > Y.

P(X > Y) = f(5, 4) + f(6, 4) + f(6, 5) + f(7, 4) + f(7, 5) + f(7, 6)

= (5 + 4) + (6 + 4) + (6 + 5) + (7 + 4) + (7 + 5) + (7 + 6)

= 9 + 10 + 11 + 11 + 12 + 13

= 66

Therefore, P(X > Y) = 66.

(d) P(X + Y = 13):

We need to find the joint probability value for X + Y = 13.

P(X + Y = 13) = f(6, 7)

P(X + Y = 13) = 6 + 7

= 13

Therefore, P(X + Y = 13) = 13.

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Answer: 17.5%

Step-by-step explanation:

Flipping tails: 50%

Rolling at least 14: 35%

Total: 50% x 35% = 17.5%

I donno if i'm right

Answer:

Step-by-step explanation:

Use the Pythagorean Theorem.

base² + height² = hypotenuse²

6² + 8² = hypotenuse²

100 = hypotenuse²

hypotenuse = √100 = 10 meters

Answer:

6+3+3/2+3/4

=9+3/2+3/4

=

21/2+3/4

=

45/4

(Decimal: 11.25)

Step-by-step explanation:

Answer/Step-by-step explanation:

These are equivalent fractions. Look at each problem and find where both the tops are there like #1. Think "how do you get 20 from 5?" Well, you just times by 4.

So times by 4 on the bottom. 7×4 is 28. That is what you fill in in the blank.

see image.

On some of them, both of the bottom numbers are there and you're missing a top number. Do the same process. Like for #29..."how to get from 7 to 63?" Well, you ×9 to get from 7 to 63. So then ×9 on the top to find the number for the blank. 3×9 is 27. Fill in 27 in the blank.



Answer: It is 21 hope I'm right

Answer:

3

Step-by-step explanation:

 x3+y3+z3=k

and k =42

The equation 24x2+25x−47ax−2=−8x−3−53ax−2 is true for all values of x≠2a,

where a is a constant.

What is the value of a?

\((\stackrel{x_1}{-4}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{w}~,~\stackrel{y_2}{-3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{(-7)}}}{\underset{run} {\underset{x_2}{w}-\underset{x_1}{(-4)}}} ~~ = ~~\stackrel{\stackrel{\textit{\small slope}}{\downarrow }}{\cfrac{1}{2}} \\\\\\ \cfrac{-3+7}{w+4}=\cfrac{1}{2}\implies \cfrac{4}{w+4}=\cfrac{1}{2}\implies 8=w+4\implies 4=w\)

Two samples can have the same mean but different standard deviations if one sample has more variability than the other. For example, one sample may have data points that are tightly clustered around the mean, while the other sample may have data points that are more spread out.

This can result in the same mean value for both samples, but different levels of variability.

Here's an example bar graph to illustrate this concept:

     Sample 1                Sample 2

 ╭────────────────╮   ╭────────────────╮

 │      Mean      │   │      Mean      │

 ├────────────────┤   ├────────────────┤

 │                │   │    ╭─╮         │

 │                │   │    │ │         │

 │                │   │    │ │         │

 │                │   │    ╰─╯         │

 │     o o o      │   │  o o o o o o  │

 │                │   │                │

 │                │   │                │

 │                │   │                │

 ╰────────────────╯   ╰────────────────╯

     Std. Dev.            Std. Dev.

In this example, both Sample 1 and Sample 2 have a mean value of 5. However, Sample 1 has lower variability with a standard deviation of 1, while Sample 2 has higher variability with a standard deviation of 3. The error bars on the graph represent the standard deviation for each sample.

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Answer:

1.0346 x \(10^{22}\)

Since the exponent of the scientific notation is positive, move the decimal point  22  places to the right.

10,346,000,000,000,000,000,000

The standard notation will be 10346000000000000000000.

It is given that total distance from earth to sun is 1.0346 × \(10^{22}\)miles.

What will be the standard notation for this ?

What do you mean by the standard notation of a number ?

Standard notation of a number is when a number is written with only number digits i.e., the standard notation for 2 × \(10^{2}\) will be 200.

The total distance from earth to the sun would be written as ;

1.0346 x \(10^{22}\) miles.

We need to put the decimal point 22 places right ;

So , It can be written as ;

10346000000000000000000

Thus , standard notation will be 10346000000000000000000.

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Answer:

The measure of SM is less than the measure of MR.

Step-by-step explanation:

The side opposite the larger angle is larger than the side opposite the shorter angle.

Answer:

Order from greatest to least: 10.5, \(3\pi +1\), \(\sqrt{105}\)

Step-by-step explanation:

step 1 simplify each number

3π + 1  = 10.4247779

*round to the nearest tenth*

3π + 1 = 10.4

\(\sqrt{105} =10.2469507\)

*round to the nearest tenth*

\(\sqrt{105} =10.2\)

10.5 = 10.5

Now that we have simplified each number we can easily put them in order from greatest to least

10.5 is the greatest number

10.4 is the middle number

10.2 is the lowest number

so 10.5, 10.4, 10.2

Now we put them back in the original form

10.5 = 10.5

10.4 = 3π + 1

10.2 = \(\sqrt{105}\)

Your answer is

10.5 , 3\(\pi\) + 1, \(\sqrt{105}\)