The boss told the management team some sad news too. “I’m cutting your hourly pay. You now get paid per project you finish. I will give you $10 for each finished schedule you create and $20 for each meeting you complete! You cannot make more than $100 per day! Also you must make more than twice as many schedules as meetings!”
Create a system of linear inequalities to model the situation above, where x is the number of schedules made and y is the number of meetings completed.

Answer:

Step-by-step explanation:

In geometry, an incorrect conclusion within a proof might lead to wrong estimations of size, length, and other spatial properties. It can cause disastrous outcome in real world. Especially when lives are involved, such as space shuttle projects, or building constructions .

Answer:

$6.90 is the cost of 9 tennis balls

Answer:

-3.5

Step-by-step explanation:

The problem you have stated is (y-z)/z where y=-2 and z = 4/5. To solve, substitute the values of y and z into the problem. Then, you have (-2-4/5)/4/5. (-2-4/5) simplifies to -14/5 so then you have (-14/5)/4/5. To divide, multiply -14/5 by 5/4 {multiplying by the reciprocal}. That equals -70/20 which is equal to -3.5

Answer:

\(\large\boxed{-3.5}\)

Step-by-step explanation:

(y - z) ÷ z          y = -2 and z = 4/5

Substitute in the given values for y and z into the equation

(y - z) ÷ z  

(-2 - 4/5) ÷ 4/5

Subtract inside the parenthesis (-2 - 4/5)

-2.8 ÷ 4/5

Convert 4/5 into a decimal (in this case that can be done by multiplying both the numerator and denominator by 20)

4/5 = (4 * 20) / (5 * 20) = 80 / 100

80 / 100

Divide numerator and denominator by 10

8/10 = 0.8

Substitute into previous equation

-2.8 ÷ 4/5 = -2.8 ÷ 0.8

Divide

\(\large\boxed{-3.5}\)

Hope this helps :)

Step-by-step explanation:

jack has error in 0 and -5x

Answer:

x=12

Step-by-step explanation:

\(x^{2}\)=\(15^{2}\)-\(9^{2}\)

\(x^{2}\)=225-81

\(x^{2}\)=144 /sqrt

x=12

Answer: x=25

Step-by-step explanation: equation comes out to

4x+80=180

4x=100

x=25

Answer:

x=25

Step-by-step explanation:

x+30+x+40+2x+10=180

Add the X up together and the other number which will be

4x+80=180

subtract 80 from both sides

4x=100

divide 4 from both sides

x=25

Answer:

90%

Step-by-step explanation:

(80% + 60% - 50%)

Answer:

The probability of having a motor vehicle is 80%, the probability of having a bicycle is 60%, and the probability of having both is 50% (a half chance).

Probability (motor vehicle or bicycle) = Probability (motor vehicle) + Probability (bicycle) - Probability of both

Probability (motor vehicle or bicycle) = 80% + 60% - 50%

Probability (motor vehicle or bicycle) = 90%

Therefore, the probability that a randomly selected resident has a motor vehicle or bicycle is 90%.

Answer:3√5

Step-by-step explanation:

√ 45 = 3√5. Therefore, the square root of 45 in radical form is 3√5. Square Root of 45 in Radical Form: 3√5.

Answer:

The answer is 3√5

A) 3.5a +3.5b ≥ 128.09 B) Total profit: $158.91

1) Gathering the data

$65.25 ingredients for blueberry pies

$62.84 cherry pie

Each slice

3.50

A) Since Cindy's profit relies on her sales we can write

b = slices of blueberry

c = cherry pie slices

3.50b +3.50a ≥ 65.25+62.84

3.5a +3.5b ≥ 128.09

B) Gathering those data and adding the number of slices that were sold:

1st day

b= 24

a =15

2nd day

b=26

a=17

Plug into that:

Profit: 3.5(15+17) + 3.5(24+26)

P =287

$287 was the total revenue

Cherry pie cost of production 62.84

3.5(15+17)=112

Profit = 112 -62.84

Profit = $49.16

Blueberry cost of production: $65.25

3.5(24+26) =175

175 - 65.25 =109.75

Profit $ 109.75

Total profit: $158.91

15 students are yet to return for the face to face classes

Given the following parameters

Total number of students in Esteban's classroom = 28 students

If 45% of classmates have returned to face-to-face classes, the total number of classmates that have returned to face-to-face classes is 0.45 * 28 = 12.6

People that are yet to return  = 28 - 12.6

People that are yet to return  = 15.4

This shows that about 15 students are yet to return for the face to face classes

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The absolute value of change in the predicted value of dependent variable Y is 18.

Any variable whose value is influenced by an independent variable is said to be dependent. The thing that is measured or assessed in an experiment or mathematical equation is the dependent variable. The phrase "the outcome variable" is another name for the dependent variable.

Slope = b = -4

Intercept = a = -2.8

So, the equation of the regression line is

y  =  a + bx

y = -2.8 - 4x              ...Equation 1

Now suppose the value of x is changed by adding 4.5

i.e. put x = x + 4.5

So,

y = -2.8 - 4(x + 4.5)

y = -2.8 -4x - 18         ...Equation 2

Comparing 1 and 2 ,

We get the predicted value of dependent variable Y as 18

Therefore The absolute value of change in the predicted value of dependent variable Y is 18

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Required critical value is 0.001.

For the two-tailed test with α = 0.002, you

need to find the positive critical value zα/2. To do this, use the invNorm function in your calculator:

1. Divide the alpha level by 2: 0.002 / 2 = 0.001

2. Find the corresponding z-score using invNorm: invNorm(1 - 0.001) = invNorm(0.999)

3. Round the z-score to three decimal places.

For the left-tailed test with α = 0.01, you need to find the critical value zα. To do this, use the invNorm function in your calculator:

1. Find the corresponding z-score using invNorm: invNorm(0.01)

2. Round the z-score to three decimal places.

After calculating the z-scores, your answer should look like this:

For the two-tailed test with α = 0.002, the positive critical value zα/2 is approximately 0.001 (replace with your calculated value). For the left-tailed test with α = 0.01,

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Answer: The exact distance between the 2 points is √2, but the approximate distance is 1.41421356 (repeating decimal)

Hope this helped :D

Answer:

-679

Step-by-step explanation:

14, 5, -4, ...

a = 14

d = 5 - 14 = -9

nth term = a + (n - 1) d

n(78) = 14 + (78 - 1) * -9

= 14 + 77(-9)

= 14 -693

= -679

answer

the formula is a+(n-1)d

a: the first term

d:the 2nd term -the first term

Answer:

oijfijfiosdoiviv

Step-by-step explanation:

Answer: 20 quarters

Step-by-step explanation:

As we look at this problem we can convert $6.50 dollars into 26 quarters. Us already knowing that Carolina has $1.50 (6 quarters) we can take the two numbers and minus both of them. 26 quarters ($6.50) - 6 quarters ($1.50) = 20 quarters($5.00)

Step-by-step explanation:

every $ is equivalent to 4 quarters.

every half-$ is equivalent to 2 quarters.

after all, 1 quarter = $0.25.

so, the equation is

4×1.5 + g = 4×6.5

or simplified

6 + g = 26

and from there we get then immediately that

g = 20

The total amount the recycler pays Olivia is $1000.

The weight of the copper is expressed as a fraction A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below.

There is a need to convert tons to pounds:

1 ton = 2000 pounds

1/8 x 2000 = 250 pounds

The total amount that the recycler pays can be determined by multiplying the total pounds by cost per pound.

Total cost = cost per pound x total pound

250 x $4 = $1000

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The number of simple events in this experiment is 16.

The correct answer to the given question is option c.

The probability of an event can be calculated by dividing the number of favorable outcomes by the number of possible outcomes. A simple event is one in which only one of the outcomes can occur. For example, if a coin is tossed, a simple event would be the outcome of the coin being heads or tails.

The total number of possible outcomes in the experiment of tossing 4 unbiased coins simultaneously is 2⁴, since there are two possible outcomes for each coin. Thus, the total number of possible outcomes is 16.

Each coin has two possible outcomes: heads or tails. If all four coins are flipped, there are two possible outcomes for the first coin, two possible outcomes for the second coin, two possible outcomes for the third coin, and two possible outcomes for the fourth coin. Therefore, the total number of possible outcomes is 2 × 2 × 2 × 2 = 16.

Therefore, the number of simple events in this experiment is 16, which is option (c).

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Step-by-step explanation:

4x - 9 ≥ 17

4x ≥ 17 + 9

4x ≥ 26

4x/4 ≥ 26/4

x ≥ 13/2

x ≥ 6.5

Answer:

(6,-7)

Step-by-step explanation:

if you plug it in:

24-14=10

6+7=13

for the second one, if you have two minuses(6 - -7) you have to switch it to a plus sign (6+7)

hope this helps! :)

Here is how you would solve this system of equations.

\(\begin{bmatrix}4x+2y=10\\ x-y=13\end{bmatrix}\)

Step 1: Multiply x-y=13 by 4.

\(\begin{bmatrix}4x+2y=10\\ 4x-4y=52\end{bmatrix}\)

Step 2: Subtract the equations.

\(4x-4y=52\)

-

\(\underline{4x+2y=10}\)

\(-6y=42\)

\(\begin{bmatrix}4x+2y=10\\ -6y=42\end{bmatrix}\)

Step 3: Solve -6y=42

\(y=-7\)

For 4x+2y=10 plug in y=-7

\(4x+2(-7)=10\)

Simplify.

\(4x-14=10\\4x-14+14=10+14\\4x=24\\x=6\)

Therefore, x=6, y=-7.

Hope this helps.

Answer:

8.97 × 10-3

Step-by-step explanation:

you move the decimal so its a number between 1 and less than 10 so we moved the decimal three spaces.

Answer:

its B

Step-by-step explanation:

165 ft / 15 inches = 11

scale = 1 inch = 11 feet

which is written as 1:11

Answer:

12 is the relation

Step-by-step explanation:

if you multiply 12 by your y factor you get your x fator

The margin of error for a 95% confidence interval is  0.263.

A probability distribution which is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.

The formula for margin of error is ;

ME = (z × σ) / √ n

The confidence interval is 95% = 0.95.

Mean (σ) =14

standard deviation = 3.

Total population (n) = 500

Substitute the values in the formula;

ME = (z × σ) / √ n

      = (1.96 × 3)/√500

      = (1.96 × 3)/22.36

ME  = 0.263

Therefore, the margin of error for a 95% confidence interval is 0.263.

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The complete question is -

A study of five hundred adults found that the number of hours they spend on social networking sites each week is normally distributed with a mean of 14 hours. The population standard deviation is 3 hours. What is the margin of error for a 95% confidence interval?

The solution to lim h→0 (9 + h)−1 − 9−1 h is -1/9.

To find the solution to lim h→0 (9 + h)−1 − 9−1 h, we can simplify the expression first.

Starting with (9 + h)−1, we can use the formula for the difference of squares to get:

\((9 + h)-1 = (9 + h - 9) / ((9 + h)(9 - 9)) = h / (9h + h^2)\)
Substituting this back into the original expression gives:

\((9 + h)-1 -9-1 h = h / (9h + h^2) - 1 / 9h\)

We can combine the two fractions by finding a common denominator of 9h(9 + h), giving:

(9h - (9 + h)) / (9h(9 + h)) = -1 / (9 + h)

Now we can take the limit as h approaches 0:

lim h→0 (9 + h)−1 − 9−1 h = lim h→0 -1 / (9 + h) = -1 / 9

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To determine whether there is enough evidence to reject the null hypothesis, we need to compare the computed test statistic to the critical value.

In this case, the computed test statistic is 2.50 and the critical value is 2.33. If the computed test statistic falls in the rejection region beyond the critical value, we can reject the null hypothesis. Conversely, if the computed test statistic falls within the non-rejection region, we fail to reject the null hypothesis.In this scenario, since the computed test statistic (2.50) is greater than the critical value (2.33), it falls in the rejection region. This means that the observed data is unlikely to occur if the null hypothesis were true.

Therefore, based on the given information, there is enough evidence for the emergency room nurse to reject the null hypothesis. This suggests that there is sufficient evidence to support the claim that the average number of cases of upper respiratory infections per day at the hospital is over 21 cases.

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There is enough evidence to reject the null hypothesis in this case because the computed test statistic (2.50) is higher than the critical value (2.33). This suggests the average number of daily respiratory infections exceeds 21, providing substantial evidence against the null hypothesis.

Yes, there is enough evidence for the emergency room nurse to reject the null hypothesis. The null hypothesis is typically a claim of no difference or no effect. In this case, the null hypothesis would be an average of 21 upper respiratory infections per day. The test statistic computed (2.50) exceeds the critical value (2.33). This suggests that the average daily cases indeed exceed 21, hence providing enough evidence to reject the null hypothesis.

It's crucial to understand that when the test statistic is larger than the critical value, we reject the null hypothesis because the observed sample is inconsistent with the null hypothesis. The statistical test indicated a significant difference, upheld by the test statistic value of 2.50. The significance level (alpha) of 0.05 is a commonly used threshold for significance in scientific studies. In this context, the finding suggests that the increase in respiratory infection cases is statistically significant, and the null hypothesis can be rejected.

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The answer of the expression (-10 / 12) × ( 5 / 7) is -0.595.

Given,

The expression = (-10 / 12) × (5 / 7)

We have to solve this using arithmetic operations

Arithmetic operations:

Arithmetic is the fundamental study of numbers in mathematics. The four fundamental operations in mathematics are addition, subtraction, multiplication, and division, but exponentiation and the extraction of roots are also included.

Solve:

(-10 / 12) × (5 / 7)

- 0.833333333 × 0.714285714

= -0.595238095

≈ -0.595

That is, the answer of the expression (-10 / 12) × (5 / 7) is -0.595

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In right angled triangle ABC when altitude BD is drawn on the hypotenuse AC then length of AB is equal to 12.

In right angled triangle ABC,

AC is the hypotenuse.

Angle B is right angle.

BD is the altitude drawn on hypotenuse AC.

AD = 6

AC = 24

⇒DC = AC - AD

         = 24 - 6

         = 18

Triangle ABD and ΔBCD are right angle triangle .

ΔABD is similar to ΔABC.

Corresponding sides of similar triangles are in proportion.

AD/ BD = BD/CD

⇒BD² = DC ×AD

⇒BD = √18 × 6

⇒BD = 6√3

In ΔABD,

AB is the hypotenuse, ∠ADB is the right angle.

AB² = AD² +  BD²

⇒ AB² = 6² + 108

⇒ AB = √144

⇒ AB = 12

Therefore, the length of AB in the given right triangle is equal to 12.

The above question is incomplete, the complete question is:

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If

AD = 6 and AC = 24, what is the length of AB?

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Answer:

Diameter is equal to twice the radius. Given, radius is 4 cm. Diameter = 2(4) = 8 cm. Hence, diameter of the circle with radius as 4 cm is 8 cm.

Step-by-step explanation:

please

give brianliest

Answer: Area = 0

Step-by-step explanation:

((2*2)*3.14)-(4*3.14) = 0