Evaluate the expression.

|15 – 4|


11


4


–4


–15

Answer:

The probability is 0.461

Step-by-step explanation:

Since six tanks contain high viscosity material, it means that 18 does not contain since the total number of tanks is 24.

Now, here, we know that we are selecting a total of 4 tanks.

out of the tanks with high viscosity materials, we will be selecting one only while out of the others without viscosity materials we shall need selecting three.

Thus,

the number of ways we can select one tank with viscosity material from a total of six tanks will be 6C1 = 6 ways

Now, we want to select three from the remaining 18 tanks

The number of ways we can do this is 18C3 = 816 ways

Finally, we are selecting 4 out of 24 tanks.

The number of ways we can do this is 24C4 = 10,626 ways

Now, we proceed to calculate the probability.

Kindly note that we are selecting 1 from 4 and 3 from 18

The term ‘and’ in probability means we are multiplying the probabilities of these events together and thus, that means that we are going to combine our numbers of selections.

So the total number of ways in which we can select 1 out of 3 and 3 out of 18 will be = 6 * 816 = 4,896 ways

The probability would now be 4896/10626 = 0.461

Answer:

5 calories

Step-by-step explanation:

So, Raquel will burn 5 calories in 1 minute.

I hope this helps!

The first debt that Alice would have to pay based on the Stack method would be the third debt. Option C

From the stack method, the debt that Alice would have to pay off first would be the debt that has the highest interest rate.

The amount of 150 dollars would then be added to the debt that has the second highest rate.

Hence the amount of debt that would be paid off first would be the first debt based on the stack method.

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Answer:

B. 10x -40

Step-by-step explanation:

To rewrite the expression 5(2x-8) using the distributive property, we need to separate the expression inside the parentheses and then multiply the two expressions by 5. The answer is: 10x-40.

Answer:

90+56=146

180-146=34

Step-by-step explanation:

Answer:

520

Step-by-step explanation:

I used big brain

-

Answer:

I think it would be a rhombus.

Answer:

Given :-

Two legs of a rt. triangle : 8 and 10 respectively.

To find :-

Length of the hypotenuse

Solution :-

Using Pythagorean Theorem;

(hypotenuse)² = (8)² + (10)²

= 64 + 100

hypotenuse = √164

= 12.8 units

Answer:

12.80

Step-by-step explanation:

We have to use the Pythagoras theorem to find the value of the hypotenuse.

Let the value of the hypotenuse be c.

Let us use the below formula to find the length of the hypotenuse.

First, let us replace a and b with 8 and 10 ( the lengths of the legs of the right triangle) with a and b.

a² + b² = c²

8² + 10² = c²

64 + 100 = c²

And now let us solve the above and find the value of c.

164 = c²

√164 = c

12.80 = c

Therefore, the length of the hypotenuse is:

12.80 units

Answer:

the answer should be 21 if it's there if I'm wrong let me know

Answer: He paid 13$ for the hat

Step-by-step explanation:

If you minus the ammount  on the right then you will get 13  

Answer:

$14

Step-by-step explanation:

there´s 20 dollars on the left and after he spends $6 is left so you do $20-$6=$14

The average rate of change from 2020 to 2010 of the median individual income is 157.

The average rate at which one item is changing in relation to another is known as the average rate of change. An average rate of change function, put simply, is a calculation that divides the amount of change in one thing by the corresponding amount of change in another.

The average rate of change is given by the formula:

R = f(b) - f(a) / (b - a)

where, f(b) and f(a) are values of the function at b and a respectively.

Here, the value of the functions are:

f(b) = 31675

f(a) =30105

b = 2020

a = 2010

Substituting the values in the equation we have:

R = (31675 - 30105)/ (2020 - 2010)

R = 1570/10 = 157

Hence, the average rate of change from 2020 to 2010 of the median individual income is 157.

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Answer: 158

Step-by-step explanation: The average rate of change from 2020 to 2010 of the median individual income is 157.

What is average rate of change?

The average rate at which one item is changing in relation to another is known as the average rate of change. An average rate of change function, put simply, is a calculation that divides the amount of change in one thing by the corresponding amount of change in another.

The average rate of change is given by the formula:

R = f(b) - f(a) / (b - a)

where, f(b) and f(a) are values of the function at b and a respectively.

Here, the value of the functions are:

f(b) = 31675

f(a) =30105

b = 2020

a = 2010

Substituting the values in the equation we have:

R = (31675 - 30105)/ (2020 - 2010)

R = 1570/10 = 157

The percent change if a city that used to produce 2050 kilowatt hours has reduced their consumption to 1125 kilowatt hours is 45.122% decrease.

Percent increase and percent decrease are measures of percent change, which is the extent to which a variable gains or loses intensity, magnitude, extent, or value.

we know,

% change = (final- initial) / initial * 100

=(1125-2050)/1125 *100

=45.122%

Hence, percentage change be 45.122% decrease.

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The cost of buying one of each of the soap and plaster is 165p.

From the information, the bar of soap cost 70p and a box of plasters cost 95p.

It should be noted that in order to find the total cost, we will have to add the. oat of each product.

This will be:

Total cost = Cost of soap + Cost of plaster

= 70p + 95p

= 165 p

The cost is 165p.

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The loss percentage is 91%.Given that Venessa bought 80 apples for 4$, out of these apples, 25% were rotten and had to be thrown away. Venessa sold the remaining apples at 6 cents per apple.To calculate the profit or loss percentage, we need to determine the cost price, selling price, and the number of apples sold.

Cost price (CP) = 4 $.Selling price (SP) = 80 × 0.75 × 6 cents= 36 cents = 0.36 $.Now, let's calculate the profit.Profit = SP – CP= 0.36 $ – 4 $= – 3.64 $Loss = CP – SP= 4 $ – 0.36 $= 3.64 $.

Therefore, Venessa incurred a loss of $3.64 when she sold 80 apples at 6 cents per apple.Now let's calculate the loss percentage Loss Percentage = (Loss / CP) × 100= (3.64 / 4) × 100= 91%.

Therefore, the loss percentage is 91%.Note: If the result obtained after the subtraction of SP from CP is negative, it means there is a loss, and the percentage of loss can be calculated by (loss/CP) × 100.

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the rate of discount will be 33.0986%.

What is Rate?

A rate in arithmetic is a ratio that contrasts two separate values with various unit systems. For instance, if John types 50 words per minute, that means he types 50 words per minute. We are dealing with a rate because the word "per" is there. The symbol "/" can be used in place of the word "per" in issues.

When two or more similar amounts or numbers are being compared using the same units, a ratio is utilized. When referring to the ratio of one quantity "to" the second quantity in spoken language, it is frequently written with a colon.

listed price = $1136,

net Price = $760

discount = 1136-760 = $ 376

rate of discount = discount / listed Price*100

= 376/1136 *100

33.0986%

Hence the rate of discount will be 33.0986%.

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Answer:

x - 17.95 = 71.80, $89.75

Step-by-step explanation:

Let the original price of the headphones be x

Amount of coupon = $17.95

You pay the final amount for the headphones after using the coupon = $71.80

So to find the original price of the headphones, the equation will be

x - 17.95 = 71.80

x = 17.95 + 71.80

x = $89.75

The original price of the headphones would be $89.75

Answer:

p=89.85

Step-by-step explanation:

p-17.95=71.80

+17.95  +17.95

p=89.85

The expression that represents Felipe's balance at the end of the year is 3700 x \(( 1 + \frac{0.059}{4}) ^{4}\) x \((1 + \frac{0.172}{8})^{8}\).

The equation that can be used to determine future value with compounding is:

FV = P (1 + r)^nm

3700 x \(( 1 + \frac{0.059}{4}) ^{4}\) x \((1 + \frac{0.172}{8})^{8}\).

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For logistic regression, the explanation whether the statements are true or false is given below.

What exactly is logistic regression?

Logistic regression is a statistical method used to model the probability of a binary outcome (such as "success" or "failure") based on one or more predictor variables. It is commonly used in fields such as medical research, social sciences, and marketing to analyze data with binary outcomes.

Now,

(a) False. The predicted probability from a logistic regression model depends on the values of all the predictors, not just one. Changing the value of one predictor will change the predicted probability differently for different observations, depending on the values of the other predictors.

(b) True. The predicted probability from a logistic regression model is always between 0 and 1, as it represents the probability of a binary outcome (such as "success" or "failure") given a set of predictor variables. Negative probabilities or probabilities greater than 1 are not meaningful in this context.

(c) False. Observations used to build a logistic regression model need to be independent, as violations of independence can lead to biased parameter estimates and incorrect inference. Independence is typically achieved by sampling randomly and without replacement from a population, or by accounting for dependencies in the data through appropriate modeling.

(d) False. Model selection in logistic regression is typically based on statistical criteria such as AIC or BIC, not adjusted R-squared (RP). Adjusted R-squared is a measure of the proportion of variation explained by the model, which is not directly relevant to the question of selecting predictors that are most predictive of the outcome.

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The profit for 24 sales is $64.

The profit for 24 sales, we first need to calculate the revenue and then determine the profit based on the given information.

The revenue function is given as f(x) = 5x, where x represents the number of hamburgers sold.

To find the revenue for 24 sales, we substitute x = 24 into the revenue function:

Revenue = f(24)

= 5 × 24

= 120 dollars

Now, let's calculate the profit.

The profit is $20 less than 70% of the revenue.

We can express this mathematically as:

Profit = 0.7 × Revenue - $20

Substituting the value of Revenue we calculated earlier:

Profit = 0.7 × 120 - $20

= 84 - $20

= $64

We must first compute the revenue for 24 sales before calculating the profit based on the available data.

The revenue function is denoted by the formula f(x) = 5x, where x is the quantity of hamburgers sold.

We add x = 24 to the revenue function to get the revenue for 24 sales:

f(24) = 5 x 24 = 120 dollars is the revenue.

Let's now determine the profit.

The profit is $20 below the revenue's 70%.

This may be written mathematically as:

Revenue - $20 x Profit = 0.7

Substituting the earlier determined figure of Revenue:

Earnings = 0.7 x 120 - $20 = 84 - $20 = $64

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Answer:

5 ≤ L ≤ 35

Step-by-step explanation:

Let w represent the width of the rectangle.

The perimeter (P) of the rectangle is given by:

P = 2w + 2L

Where L is the length of the rectangle.

We know that w = 30 cm and that the perimeter is between 100 and 160 cm. We can now set up our compound inequality:

100 ≤ 2(30) + 2L ≤ 160

100 ≤ 90 + 2L ≤ 160

10 ≤ 2L ≤ 70

We can now divide both sides by 2 to solve for L:

5 ≤ L ≤ 35

Therefore, the compound inequality that represents the graph of a rectangle with a width of 30 centimeters and a perimeter of 100 centimeters to 160 centimeters is:  5 ≤ L ≤ 35

Answer:

In the given sequence first term is 1 and the common ratio is 2. Hence nth term would be 2n−1 Note that r = a term previous term = 2 1 = 4 2 = 8 4 = 16 8 = 2

Step-by-step explanation:

The solution of the equation is s=2.

An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=7x+1. Where:

m= the slope. It can be calculated for Δy/Δx .

b= the constant term that represents the y-intercept.

For the given example: m=7and b=1.

For solving this question you should replace x for the given values ( −1, 0, 1, 2) in the equation 4s − 14 = −6. If you obtain -6, the value of s is a solution.

For s= -1 -> 4*(-1)-14= -4 -14= -20. Therefore, s=-1 is not the solution.

For s= 0 -> 4*(0)-14= 0 -14= -14. Therefore, s=0 is not the solution.

For s= 1 -> 4*(1)-14= 4 -14= -10. Therefore, s= 1 is not the solution.

For s= 2 -> 4*(2)-14= 8 -14= -6. Therefore, s=2 is the  solution.

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Mr. Cho received 3840 eggs in the beginning.

Let's assume that Mr. Cho received x eggs in the beginning.

In the morning, he sold 1/3 of the eggs, so he had 2/3 of the eggs left. Therefore, he had 2/3 x eggs left after the morning sales.

In the afternoon, he sold 320 eggs, so he had 2/3 × x - 320 eggs left at the end of the afternoon.

At the end of the day, he found that 1/4 of the eggs were not sold, which means that he had 3/4 of the eggs left. Therefore, we have:

3/4 × x = 2/3 × x - 320

Multiplying both sides by 12, we get:

9x = 8x - 3840

Simplifying, we get:

x = 3840

Therefore, Mr. Cho received 3840 eggs in the beginning.

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Answer:

3.38

Step-by-step explanation:

first do the multiplication

2×0.81

= 1.62

then the subtraction

5- 1.62= 3.38

Only one triangle possible with angle 38.2° at C.

According to the given statement

we have to seek out that the measurement of m with the help of the a and c.

Then for this purpose, we all know that the

The ambiguous case occurs when one uses the law of sines to see missing measures of a triangle when given two sides and an angle opposite one in every of those angles (SSA).

According to the this law

The equation become

35/sin(60) = 25/sinC

sinC = 0.6185895741

C = 38.2, 141.8

Since 141.8+60 = 201.8 > 180

It will not form a triangle.

So, only 1 triangle possible with angle 38.2° at C

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

Law of Sines and the Ambiguous Case.

In ∆ ABC, a =35, c = 25, and m < A = 60*

How many distinct triangles can be drawn given these measurements?

If the equation is cos x = x^3, the interval of length 0.01 that contains a root is [0.86, 0.87]

The given equation is

cos x = x^3

Move the term x^3 to the left hand side of the equation

cos x - x^3 = 0

Therefore the equation will be

f(x) = cos x - x^3

Here to find the interval of length 0.01 that contains a root, we have to use the intermediate value theorem

Plot the function in the graph

From the graph, we can see that the value of

x = 0.865

The interval of length = 0.01

Then the intervals will be 0.86 and 0.87

Therefore, the interval of length 0.01 that contains a root will be [0.86, 0.87]

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The value of the first and second integers are 54 and 55 respectively.

Let

First integer = x

Second integer = x + 1

Sum of the integers = 109

So,

First integer + Second integer = Sum of the integers

x + (x + 1) = 109

x + x + 1 = 109

2x + 1 = 109

Subtract 1 from both sides

2x = 109 - 1

2x = 108

divide both sides by 2

x = 108/2

x = 54

Ultimately,

First integer = x

= 54

Second integer = x + 1

= 54 + 1

= 55

Therefore, the solution in 4 steps are;

Step 1: x + (x + 1) = 109

Step 2: 2x + 1 = 109

Step 3: 2x = 108

Step 4: x = 54

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Answer:

55 kg

Step-by-step explanation:

lose 2kg per 3 week

for 12 weeks

3×4=12

4×2=8

61-8=53

1kg per week gained for 2 weeks = 2kg

53kg + 2 kg =55kg

Hope you understand...

Jenny earns $36 in interest in one year in her savings account.

To calculate the interest that Jenny earns in one year on her savings account, we can use the formula for simple interest:

I = P x r x t

where I is the interest earned, P is the principal amount (in this case, $1200), r is the interest rate (in decimal form), and t is the time period (in years).

In this case, the interest rate is 3% per year, which can be written as 0.03 in decimal form. The time period is one year. So we have:

I = 1200 x 0.03 x 1

I = $36

Therefore, Jenny earns $36 in interest in one year in her savings account.

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Answer:

store A is 278.4 and store B is 260 and the cost for one shirt from store b is 8.125

Step-by-step explanation

6.96 x 40 gives you 278.4

325 - 20% gives you 260

325 divided by 40 gives you 8.125

then to check your answer you multiply 40 and 8.125 and it gives you 325