what is the price if they are taking off a 25% discount on a $1500 television?

Answer: \(3\sqrt{2}\)

Step-by-step explanation:

\(\sqrt{18}\) = \(\sqrt{3*6}\) = \(\sqrt{3*3*2}\) = \(\sqrt{3^{2}*2 }\) = \(3\sqrt{2}\)

Answer:

m = 21

Step-by-step explanation:

5m = 105

5m ÷ 5 = 105 ÷ 5

m = 21

Answer:

No,the price is not within their budget.

Step-by-step explanation:

Because if you take 144 times 76 you get 10,944 which goes past their budget of 10,000

Answer:

They are over budget by $1,232.

Step-by-step explanation:

They want to replace 144 computer monitors each for $76.

$76 * 144 = $11,232

Their budget is $10,000 so they would be over budget by:

$11,232 - $10,000 = $1,232

We have the following expression:

The prime factorization of 50 is

Then, we can rewritte our expression as

because the square root of -1 is defined as the complex i. Then, we have

Therefore, the answer is

Answer:

the event is odds against an event of the 19 to 12 is probability is the 19

The probability of occurring the event is 12/31.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

We know if the odds against an event is a : b then the probability of occurring the event is b/(a + b).

Given, The odds against an event are 19 to 12.

∴ The probability of occurring the event is 12/(19 + 12) = 12/31.

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Answer:

8=8 so it is true

Step-by-step explanation:

Answer:

equal distances

Step-by-step explanation:

simplified, both live half a mile (1/2) from the library

To calculate the mean, median, and mode, we first need to know what each of these terms represents. The mean, also known as the average, is the sum of all the values divided by the total number of values. To find the mean, add up all of the values and divide by the number of values. The median is the middle value in a set of data when it is arranged in order from least to greatest. The mode is the value that occurs most frequently in a set of data. Here's an example to illustrate these concepts:

Let's say we have a set of data consisting of the following values: 2, 5, 5, 7, 8, 10, 12. To find the mean, we add up all of the values and divide by the number of values. In this case, the sum of the values is 49 (2+5+5+7+8+10+12) and there are 7 values, so we divide 49 by 7 to get the mean, which is approximately 7. To find the median, we first need to arrange the data in order from least to greatest: 2, 5, 5, 7, 8, 10, 12. The middle value is 7, so that is the median. To find the mode, we look for the value that occurs most frequently. In this case, 5 occurs twice, which is more than any other value, so the mode is 5.
In conclusion, the mean, median, and mode are all measures of central tendency that can be used to describe a set of data. The mean is the average value, the median is the middle value, and the mode is the value that occurs most frequently. When calculating these measures, it is important to carefully consider the data and choose the appropriate method for finding each value.

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see link in comments

Answer:

C. Yellow only

Step-by-step explanation:

I mean, its 45 minutes, and only the yellow bar includes 45.

Answer:

1/3 foot longer

Step-by-step explanation:

2/3-1/3=1/3

Answer:

Step-by-step explanation:

To get the median of the ages given

2, 4, 5, 6, 7, 8, 8, 8, 0, 3, 5, 9, 1, 4, 7, 6, 1, 2, 4, 4, 8

First we will need to rearrange the median ages in ascending order (from lowest to highest)

0, 1, 1, 2, 2, 3, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 9

Next is to locate the middle value of the arranged data

(0, 1, 1, 2, 2, 3, 4, 4, 4, 4), 5, (5, 6, 6, 7, 7, 8, 8, 8, 8, 9)

The total values in both parenthesis are the same(10 in numbers) leaving 5 as the middle number.

Hence the median age of the people in the pool is 5years

After 8 hours, the hire costs will be the same for Connie and her friends from Ace and David and his brother from Best.

To find the number of hours when the hire costs will be the same for Connie and her friends from Ace and David and his brother from Best, we need to set up an equation.

Let x represent the number of hours.

For Ace Bicycle Shop, the cost is given by C_Ace\((x) = 4 + 1x\), where 4 is the flat fee and 1x represents the hourly charge.

For Best Bicycle Shop, the cost is given by C_Best\((x) = 8 + 0.5x\), where 8 is the flat fee and 0.5x represents the hourly charge.

To find the number of hours when the costs are the same, we equate the two equations:

\(4 + 1x = 8 + 0.5x\)

Subtracting 0.5x from both sides, we get:

\(0.5x = 4\)

Dividing both sides by 0.5, we find:

\(x = 8\)

Therefore, after 8 hours, the hire costs will be the same for Connie and her friends from Ace and David and his brother from Best.

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Answer:-17200

Step-by-step explanation:

The domain of the square root function is x greater-than-or-equal-to 0, since the function is defined for all non-negative x-values or x-values greater than or equal to zero.

The domain of the square root function graphed below can be determined by looking at the x-values of the points on the graph.

From the given information, we can see that the curve starts at (0, -1) and goes through (1, -2) and (4, -3).

The x-values of these points are 0, 1, and 4.

Since the square root function is defined for any non-negative x-values or x-values more than or equal to zero, its domain is x greater-than-or-equal-to 0.

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We can complete the blanks with the following ratios:

(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags

Since we do not need a flag at the starting line, then 32 flags will be required in total.

To solve the problem, we would first convert 400 yds to feet and miles.

To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.

To convert to miles, we would have 0.227 miles.

Now, we divide the entire race distance by the number of miles divisions.

This gives us:

7.5 mi /0.227 mi

= 33 flags

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Answer:

x=3

Step-by-step explanation:

BC= 5 ~ EC=25

And we can see that BC times 5 equals the EC value. This means that BA times 5 will equal ED.

So we can set 5 * (BC) = (ED)

5x=18-x

Then solve for x:

6x=18

x=3

Answer:

\(x=8\)

Step-by-step explanation:

So we are given that ΔABC and ΔDEC are similar.

In other words, AB and DE are similar. And CA and CD are also similar.

When the sides are similar, it means that their proportions are equal to the each other. Therefore:

\(\frac{AB}{DE}=\frac{CA}{CD}\)

Substitute 30 for AB, 18 for DE, 2x-1 for CA and x+1 for CD. So:

\(\frac{30}{18}=\frac{2x-1}{x+1}\)

Reduce the left by dividing both layers by 6. Thus:

\(\frac{5}{3}=\frac{2x-1}{x+1}\)

Cross multiply:

\(3(2x-1)=5(x+1)\)

Distribute:

\(6x-3=5x+5\)

Add 3 to both sides:

\(6x=5x+8\)

Subtract 5x from both sides:

\(x=8\)

So, the value of x is 8.

And we're done :)

Answer:

the driver tried to fix it by lighting up the engine thinking it would start again. it didnt and the entire engine set on fire. the bus doors were closed and everyone was trapped inside. everybody inside burnt to a crisp as the fire spread and local residents heard their screams as their skin melted. the end...

The function represented by the graph with the given transformations is |–x| + 2.

The function represented by the given transformations is |–x| + 2.

Let's analyze the transformations step by step:

Reflection across the x-axis:

Reflecting the parent absolute value function across the x-axis changes the sign of the function. The positive slopes become negative, and the negative slopes become positive. This transformation is denoted by a negative sign in front of the function.

Translation right 2 units:

Translating the function right 2 units shifts the entire graph horizontally to the right. This transformation is denoted by subtracting the value being translated from the input of the function.

Combining these transformations, the function |–x| + 2 results. The negative sign reflects the function across the x-axis, and the subtraction of 2 units translates it right. The absolute value is applied to the negated x, ensuring that the function always returns a positive value.

Thus, the function represented by the graph with the given transformations is |–x| + 2.

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Answer: -lx-2l

Step-by-step explanation:

Answer:

x = -35/22, or 1.5909090...

Step-by-step explanation:

Solving for x will be easy enough, but cross multiplication won't be necessary as that's only applicable when division is involved:

35 = 2x - 24x

35 = -22x

x = -35/22, or 1.5909090...

The probability of getting exactly 9 of them major in STEM is 0.139 or 13.9%.

The probability of getting at most 11 of them major in STEM is approximately 0.898 or 89.8%.

The probability of getting at least 11 of them major in STEM is approximately 0.318 or 31.8%.

a. Exactly 9 of them major in STEM.

In this case, the probability of success (a student majoring in STEM) is 0.27, and the number of trials is 35. The probability of exactly 9 students majoring in STEM is then given by the formula:

P(X = 9) = (35 choose 9) x (0.27)⁹ x (0.73)²⁶

where (35 choose 9) is the number of ways to choose 9 students out of 35, and (0.27)⁹ x (0.73)²⁶ is the probability of 9 successes and 26 failures. Evaluating this expression gives a probability of approximately 0.139 or 13.9%.

b. At most 11 of them major in STEM.

To calculate the probability that at most 11 students out of 35 major in STEM, we can use the cumulative binomial probability distribution. This distribution calculates the probability of at most X successes, where X is any number from 0 to the total number of trials.

The probability of at most 11 students majoring in STEM can be calculated as follows:

P(X <= 11) = P(X = 0) + P(X = 1) + ... + P(X = 11) = 0.898 or 89.8%.

c. At least 11 of them major in STEM.

The probability of less than 11 students majoring in STEM can be calculated using the cumulative binomial probability distribution, as in part (b). Specifically:

P(X < 11) = P(X = 0) + P(X = 1) + ... + P(X = 10)

Subtracting this probability from 1 gives the probability of at least 11 students majoring in STEM:

P(X >= 11) = 1 - P(X < 11) = 31.8%

Again, we can use the binomial distribution formula from part (a), or a binomial probability calculator or statistical software package to calculate this probability.

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Answer:

-2-4q

Step-by-step explanation:

18-20+2q-6q combine like terms

-2-4q

Answer:

− 2 − 4 q

Step-by-step explanation:

Combine like terms first

18-20+2q-6q

18-20=-2

2q-6q=-4q

simplify

-2-4q

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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\(\begin{align}\sf\:\Phi_1 &= \iint_{S_1} (-2u^6\cos(v) - 2u^3\sin(v)) \, du \, dv \\ &= \int_{0}^{1} \int_{0}^{2\pi} (-2u^6\cos(v) - 2u^3\sin(v)) \, dv \, du \end{align} \\\)

Answer:

4

Step-by-step explanation:

Answer

a) 0.586

b) 0.897

c) 0.172

Explanation

The probability of an event is given as the number of elements in the event divided by the total number of elements in the sample space.

Total number of elements in the sample space = 5 + 17 + 4 + 3 = 29

a) Probability that the student picked at random studied both subjects.

Number of students that studied both subjects = 17

Total number of elements in the sample space = 29

Probability that the student picked at random studied both subjects

= (Number of students that studied both subjects)/(Total number of elements in the sample space)

= (17/29)

= 0.586

b) Probability that the student picked studied at least one of the subjects

Number of students that studied at least one of the subjects = 5 + 17 + 4 = 26

Total number of elements in the sample space = 29

Probability that the student picked studied at least one of the subjects

= (Number of students that studied at least one of the subjects)/(Total number of elements in the sample space)

= (26/29)

= 0.897

c) Probability that the student picked studied only Geography

Number of students that studied only Geography = 5

Total number of elements in the sample space = 29

Probability that the student picked studied only Geography

= (Number of students that studied only Geography)/(Total number of elements in the sample space)

= (5/29)

= 0.172

Hope this Helps!!!

Answer:

Step-by-step explanation:

C=5x+2y

Feasible points are (2,-2),(2,2),(-3,1) and (-1,-2)

at (2,-2) , C=5(2)+2(-2)=10-4=6

at (2,2) ,C=5(2)+2(2)=10+4=14

at (-3,1) ,C=5(-3)+2(1)=-15+2=-13

at (-1,-2) ,C=5(-1)+2(-2)=-5-4=-9

Maximum value is 14 at (2,2) .

Minimum value is -13 at (-3,1)