The probability distribution of the daily number of customers at the YumYum is given below. Daily number of customers Probability 20 0.2 40 0.3 60 0.4 80 0.1 What is the standard deviation of the number of daily customers

Telling Marvin the number 18 should get us into the museum.

Division is a mathematical operation that involves splitting a quantity into equal parts or groups. It is the inverse of multiplication, and is used to find out how many times one number is contained within another number.

To get into Marvin's Magic Museum, we need to figure out which number Marvin likes based on the given information.

Marvin likes the number 14, but not 15. This suggests that he likes even numbers, since 14 is even and 15 is odd.

Marvin likes the number 21, but not 26. This suggests that he likes numbers that are divisible by 3, since 21 is divisible by 3 and 26 is not.

Marvin likes the number 35, but not 39. This suggests that he likes numbers that are not divisible by 4, since 35 is not divisible by 4 and 39 is.

Putting these clues together, we can see that the number Marvin likes must be even, divisible by 3, and not divisible by 4. The only number in the list that meets these criteria is 18, since it is even, divisible by 3 (6 times), and not divisible by 4.

Therefore, telling Marvin the number 18 should get us into the museum.

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C.) The independence of the two ice machines means that knowing how much one machine fills does not help us predict how much the other fills.

Statements 3, 4 and 5

Answer:

Statements 3, 4 and 5

Step-by-step explanation:

Answer:

(0.2, -1.2)

Step-by-step explanation:

When solving a system of equations by graphing, we first plot the two equations on a graph, then the point of intersection of the two graphs is the solution to the system of equations.

Therefore giving the equations y = - x - 1; and y = 14x - 4, we have to first plot the both linear equations using online geogebra graphing tool. The intersection of both linear graphs is the solution to the problem.

We can see that the point of intersection is A(0.2, -1.2)

\(P(D/TP) = \frac{P(D \: n \: TP)}{P(TP)} \)

\(P(TP) = P(TP \: n \: D)+P(TP \: n \: FD) \\ P(TP) = 0.95×0.99 + 0.02×0.01 = 0.9407\)

\(P(D/TP) = \frac{0.9405}{0.9407} = \frac{9405}{9407} \)≈0.999787

Answer: The machine packs 10 sandwiches in 3 minutes, so it packs 10/3 = 3.33 sandwiches per minute.

Step-by-step explanation:

The machine packs 10 sandwiches in 3 minutes, so it packs 10/3 = 3.33 sandwiches per minute.

To pack 100 sandwiches, it would take 100/3.33 = 30 minutes, or 30/60 = 0.5 hours.

Answer:

10:3

100:?

10*10=100

3*10=30

100:30

Step-by-step explanation:

Answer:

the slope is 3

Step-by-step explanation:

Answer:

7/16

Step-by-step explanation:

38 + 1/16 = 38.0625

38.0625 = 7/16

The required measure of ∠L=25° for the given triangle.

A triangle is a closed shape composed of three angles, three sides, and three vertices. It is one of the most fundamental geometric forms and is represented by the symbol Δ.

If two sides of a triangle are congruent, then the angles opposite those sides are congruent.:

∠KJL = ∠JLK

Substitute ∠KJL = 25° into ∠KJL = ∠JLK: 25° = ∠JLK

∠JLK = 25°

Thus, the required measure of ∠L=25°.

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Step-by-step explanation:

= -15x²-24x-35x-56

= -15x²-59x-56

Perpendicular lines always come together at a 90-degree angle.

What is perpendicular?

A perpendicular is a straight line in mathematics that forms a right angle (90 degrees) with another line. In other words, two lines are perpendicular to one another if they connect at a right angle.

A perfect 90° (degrees) angle, or a quarter turn, is referred to as a right angle in geometry and trigonometry. The angles next to each other are said to be at right angles if a ray is positioned so that its terminus is on a line and they are also equal. The word is a calque of the Latin angelus rectus, where rectus means "upright" and refers to a vertical basis line that is perpendicular to a horizontal baseline.

As the definition suggests the perpendicular lines will intersect with each other at a right angle.

Perpendicular lines are defined as two lines that meet or intersect each other at right angles (90°).

Hence, Perpendicular lines always come together at a 90-degree angle.

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Answer:

2 b + 6 r = 2 * 24

5 b + 3 r = 2 * 21 ... 10 b + 6 r = 84

subtracting equations (to eliminate r) ... 8 b = 36

solve for b , then substitute back to find r

Answer:

(a)\(0.15731\)

(b)0.02275

Step-by-step explanation:

We are given that

Mean=0

Standard deviation=0.5 g

True weight of a sample=166 g

Let X denote the normal random variable  with mean =166+0=166

(a)

P(166.5<X<167.5)

=\(P(\frac{166.5-166}{0.5}<\frac{X-\mu}{\sigma}<\frac{167.5-166}{0.5})\)

=\(P(1<Z<3)\)

=\(P(Z<3)-P(Z<1)\)

\(=0.99865-0.84134\)

\(=0.15731\)

(b)

\(P(X>167)=P(Z>\frac{167-166}{0.5})\)

\(=P(Z>2)\)

\(=1-P(Z<2)\)

\(=1-0.97725\)

\(=0.02275\)

Answer:

F-1(x)=7/(x+9)

Step-by-step explanation:

Change F(x) to y so    y=7/x -9

Swap variables x=7/y -9

Solve x+9=7/y

7/(x+9)=y

Then change y to F inverse

F-1(x)=7/(x+9)

Thats ur inverse!!!

Answer:

(x+9)/7

Step-by-step explanation:

Let f(x) = y;

y =7/x - 9

y + 9 = 7x

x = (y + 9)/7

Substitute x for y and X = f^{-1}(x)

f^{-1}(x) =(x+9)/7 this is the inverse of f(x)

Answer:

11

Step-by-step explanation:

11 + 10 = 21

The Interpretatiom of the equation is that;

w represents number of weeks she will have saved for the remaining items

$25 represents the amount she saves per week

$65 represents the amount she has already saved

The algebra word problem can be solved by using variables to denote certain parameters I'm the question.

The general form of equation of a line in slope intercept form is;

y = mx + c

Where;

m is slope

c is y-intercept

We are given the equation:

$25w + $65

This equation represents the amount of money Kelly will have saved after some amount of weeks.

Thus;

w represents number of weeks she will have saved for the remaining items

$25 represents the amount she saves per week

$65 represents the amount she has already saved

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Answer: The scaffolding to storage framework was proposed to account for the movement from _unconscious_______ to __conscious______.

conscious ; unconscious

Step-by-step explanation:

Hope this helps

Answer:

a)

In this question, for each call, there are only two possible outcomes, either it is successful, or it is not, so binary outcomes. For each call, the probability of a success or failure is the same, which means that the trials are independent, having the same value of p. And the number of trials, which is 50, is fixed. This means that this is a binomial distribution.

b) The mean is 1 and the standard deviation is 0.9899.

c) \(P(X \geq 48) = 0\)

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

The expected value of the binomial distribution is:

\(E(X) = np\)

The standard deviation of the binomial distribution is:

\(\sqrt{V(X)} = \sqrt{np(1-p)}\)

From past experience, she is successful on 2% of her calls.

This means that \(p = 0.02\)

50 calls.

This means that \(n = 50\)

a. This is binomial distribution. Explain using the BINS method why this is so.

BINS: Binary outcomes, Independent Trials, n is fixed, and same value of p for all trials.

In this question, for each call, there are only two possible outcomes, either it is successful, or it is not, so binary outcomes. For each call, the probability of a success or failure is the same, which means that the trials are independent, having the same value of p. And the number of trials, which is 50, is fixed. This means that this is a binomial distribution.

b. Find the mean and standard deviation of X.

The mean is:

\(E(X) = np = 50*0.02 = 1\)

The standard deviation is:

\(\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{50*0.02*0.98} = 0.9899\)

The mean is 1 and the standard deviation is 0.9899.

c. Find the probablity of P(X>or equal to 48)

This is:

\(P(X \geq 48) = P(X = 48) + P(X = 49) + P(X = 50)\)

In which

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 48) = C_{50,48}.(0.02)^{48}.(0.98)^{2} \approx 0\)

\(P(X = 49) = C_{50,49}.(0.02)^{49}.(0.98)^{1} \approx 0\)

\(P(X = 50) = C_{50,50}.(0.02)^{50}.(0.98)^{0} \approx 0\)

So

\(P(X \geq 48) = 0\)

Answer:

Step-by-step explanation:

sp = 504

gain = 12%

in this case

sp =100%+12%=504

112%=504

1%=504/112 =4.5

100%=450

so cost =$450

Hope im correct, if i am im glad to be of service.

Answer:

D

Step-by-step explanation:

RS is a side.

RQ = QS  They are both equal to seven.

That means that the answer is A or D

Since the word side is in D, it must be the answer.

A company make 92 stereos in a month.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

A company makes car stereos the manufacturing cost for each stereo is $45.

And, The company fixed cost of $4150 per month.

Now, Let number of cars manufacturing by a company in a month is,

⇒ $4150 ÷ $45

⇒ 92

Thus, Number of cars manufacturing by a company in a month is, 92.

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The firm's federal income tax is $57,168.

To calculate the firm's federal income tax, we need to determine its taxable income first. Taxable income is calculated by subtracting deductions from the firm's total income.

In this case, the firm's total income consists of income from operations, interest income, and dividend income.

Total income:

Income from operations = $231,000

Interest income = $23,100

Dividend income = $29,700

Total income = $231,000 + $23,100 + $29,700 = $283,800

Next, we deduct expenses from the total income. In this case, the only relevant expense is the interest paid to bondholders:

Total expenses = Interest paid to bondholders = $11,000

Taxable income = Total income - Total expenses = $283,800 - $11,000 = $272,800

Now, we can calculate the federal income tax by applying the federal tax rate of 21% to the taxable income:

Federal income tax = Taxable income * Federal tax rate

Federal income tax = $272,800 * 0.21 = $57,168

Therefore, the firm's federal income tax is $57,168.

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A good practice to remember when adding transitions to a presentation is to ensure that they are purposeful, consistent, and enhance the overall flow of the presentation.

Purposeful: Use transitions to guide the audience through your key points and ideas, making sure they complement the content and contribute to the overall message.
Consistent: Maintain a consistent style of transitions throughout your presentation to maintain a cohesive look and feel. Avoid using too many different types of transitions, as this may be distracting.
Enhance flow: Transitions should help create a smooth flow between slides and ideas, making it easy for the audience to follow your presentation. Avoid using abrupt or overly flashy transitions that may interrupt the natural progression of your content.

finally, Test your presentation with the transitions to make sure they enhance the overall flow and comprehension of your message.

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The solution to the inequality |1/4x - 3| - 5 ≥ 4 is x ≥ 48 or x ≤ -28. The graph of the solution is a number line with the regions to the right of 48 and to the left of -28 shaded, indicating the values of x that make the inequality true.

Part A: To solve the inequality |1/4x - 3| - 5 ≥ 4, we can follow these steps:

Step 1: Remove the absolute value brackets and rewrite the inequality as two separate inequalities:

1/4x - 3 - 5 ≥ 4   or   -(1/4x - 3) - 5 ≥ 4

Step 2: Simplify each inequality:

1/4x - 8 ≥ 4   or   -1/4x + 2 - 5 ≥ 4

Step 3: Solve each inequality separately:

1/4x ≥ 12   or   -1/4x - 3 ≥ 4

Step 4: Continue solving each inequality:

x ≥ 48   or   -1/4x ≥ 7

Step 5: Multiply both sides of the second inequality by -4, remembering to reverse the inequality sign when multiplying by a negative number:

x ≤ -28

Part B: The graph of the solution would be a number line with shaded regions. The region to the right of 48 (including 48) would be shaded to represent x ≥ 48. The region to the left of -28 (including -28) would also be shaded to represent x ≤ -28. These shaded regions represent the values of x that satisfy the inequality. The rest of the number line, between -28 and 48, would remain unshaded, indicating that those values of x do not satisfy the inequality.

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Answer:

424

Step-by-step explanation:

446-22

The value of side length x in diagram a) is 4.3mm and side length x in diagram b) is 309.7 m.

The figures in the image are right triangles.

A)

angle D = 17 degree

Adjacent to angle D = 14 mm

Opposite to angle D = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( 17 ) = x/14

x = tan( 17 ) × 14

x = 4.3mm

B)

angle Z = 82 degree

Adjacent to angle Z = 43.1 m

Hypotenuse = x

Using trigonometric ratio,

cosine = adjacent / hypotenuse

cos( 82 ) = 43.1 / x

x = 43.1 / cos( 82 )

x = 309.7 m

Therefore, the measure of x is 309.7 meters.

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