Suppoe that 19% of people have a dog,24% of people have a cat , and 14% of people have both

Answer:

4/5                24/30

Step-by-step explanation:

Combining the like terms, it is found that the simplified expression is given by:

\(-\frac{m}{5} - \frac{4}{5} = -\frac(m + 4){5}\)

They are terms that have the same variables.

In this problem, the expression is given as follows:

\(\frac{2}{5}m - \frac{4}{5} - \frac{3}{5}m\)

The like terms are the ones that multiply m, hence:

\(\frac{2}{5}m - \frac{4}{5} - \frac{3}{5}m = \left(\frac{2}{5} - \frac{3}{5}\right)m - \frac{4}{5}\)

Thus, the simplified expression is given as follows:

\(-\frac{m}{5} - \frac{4}{5} = -\frac(m + 4){5}\)

More can be learned about expressions at https://brainly.com/question/15894738

Answer:

6÷41 equals 0.14634146341

6÷21 equals 0.28571428571

6÷43 equals 0.13953488372

6÷37 equals 0.16216216216

6÷20 equals 0.3

Step-by-step explanation:

Hope this helps

The expected outcome of spins based on the probability information is 60.

From the information, Joey decides to spin the wheel 60 times. Therefore, the expected outcome of spins is 60.

The thing that the booth owner can do to make the wheel more profitable for himself is to make winning probability less than that of losing.

Here, the booth owner do makes the wheel more profitable for himself as the winning is smaller.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

Answer:

The median of the scores in this stem-and-leaf plot is 78

Step-by-step explanation:

The total data set represented by Stem and leaf in order from the least to the greatest are as following:

58, 59, 64, 64 , 66, 68, 72, 74, 75, 76, 78, 79, 83, 84, 86, 87, 88, 91, 93, 93, 95

The number of data is 21

The median of the data at the place number 11

So, median = 78

Answer:

2x²+9x-5

Step-by-step explanation:

Area of a rectangle = Length * Width

If the adjacent sides are 2x – 1) and (x + 5), the area is calculated as;

A = (2x – 1) * (x + 5).

A = 2x²+10x-x-5

A = 2x²+9x-5

Hence the area of the rectangle with the adjacent sides is  2x²+9x-5

The rate of change of volume dV/dt when the height is 1 cm is approximately equal to -2,820 π/3 cm³/h.

Let V be the volume of the block of ice, h be the height of the block of ice, and r be the radius of the block of ice. It is given that r = 30 cm, h = 10 cm, and dh/dt = -2 cm/h. We need to find the rate of change of volume dV/dt when the height is 1 cm.

To find the rate of change of volume dV/dt, we can use the chain rule of differentiation.

dV/dt = dV/dh × dh/dt

We know that the volume of a right circular cone is given by:

V = 1/3 πr²h

When the radius is constant, we get:

dV/dh = 1/3 πr²dh/dh = 1/3 πr²

Also, we know that dh/dt = -2 cm/h.

Substituting the values of r, h, and dh/dt in the formula for dV/dt, we get:

dV/dt = (1/3 × π × (30)²) × (-2)= -2,820 π/3

The rate of change of volume is approximately equal to -2,820 π/3 cm³/h. The negative sign shows that it is decreasing.

Learn more about Volume:

https://brainly.com/question/27710307

#SPJ11

Answer:

17/61 or  0.27

Step-by-step explanation: 17 out of 61 times Jordan will pull out strawberry so the probability of pulling out a strawberry chew is 17/61 which is 0.27 as a decimal

Answer:

0.28

Step-by-step explanation:

0.278 rounded is 0.28

The probability that the mean IQ of three North Catalina students is at least 5 points higher than the mean IQ of three Chapel Mountain students needs to be determined.

To calculate the probability, we need to consider the IQ scores of both groups as random variables. Assuming the IQ scores follow a normal distribution, we can calculate the probability based on the difference between the means of the two groups.

Let's denote the mean IQ of the North Catalina students as μ1 and the mean IQ of the Chapel Mountain students as μ2. We are interested in finding the probability that μ1 - μ2 is at least 5 points.

To calculate this probability, we need to know the standard deviation of IQ scores for both groups and assume they are equal. Additionally, we assume that the IQ scores of individual students are independent.

By applying statistical techniques, such as the Central Limit Theorem or the distribution of the difference between two means, we can determine the probability of interest.

It's important to note that the specific values for the means and standard deviations of IQ scores for the two groups are not provided in the question. Therefore, the calculation of the probability will require this missing information.

Learn more about Central Limit Theorem :

brainly.com/question/13652429

#SPJ11

Answer:

cos(θ)

Step-by-step explanation:

cot(θ) = cos(θ)/sin(θ)

Step 1: Write expression

cot(θ)sin(θ)

Step 2: Substitute

cos(θ)/sin(θ) · sin(θ)

Step 3: Simplify

cos(θ)

Answer:

After 10 hours, Jared is the most expensive sitter

Explanation:

Given that Kathy babysits for $7.25 an hour, plus $5.75 in transport cost, and

Jared babysits $7.50 an hour, plus $3.25 in transport cost.

We want to know after how many hours is Jared the most expensive sitter.

In an equation form, we write the cost of babysitting for x hours for

Kathy as: 7.25x + 5.75

Jared as 7.50x + 3.25

We want to know at what value of x is

7.50x + 3.25 > 7.25x + 5.75

Solving for x in the above inequality

Subract 7.25x from both sides:

7.50x + 3.25 - 7.25x > 5.75

0.25x + 3.25 > 5.75

Subtract 3.25 from both sides

0.25x > 5.75 - 3.25

0.25x > 2.5

Divide both sides by 0.25

x > 2.5/0.25 = 10

x > 10

Therefore, after 10 hours, Jared is the more expensive sitter.

Answer:

the answer is 19.2 I think

The prime factorization of the number 21 is:

21 = 3*7

We want to write the prime factorization of 21.

To do so, we just need to divide the number by prime numbers.

The first prime number we can try is 2, if we divide by 2 we get:

21/2 = 10.5

This is not an integer, so 2 is not a factor.

The next one is 3:

21/3 = 7

Now we can rewrite:

21 = 3*7

Where 3 and 7 are prime numbers, so that is the prime factorization.

Learn more about prime factorizations:

https://brainly.com/question/1081523

#SPJ1

Answer:

\(\fbox{\begin{minipage}{4em}36 ways\end{minipage}}\)

Step-by-step explanation:

Step 1: Re-state the problem in an easier way to set up a permutation problem

"The numbers 1,6,8,13,15,20 can be placed in the circle below, each exactly once, so that the sum of each pair of numbers adjacent in the circle is a multiple of seven"

The series above can be represented again, in form of:

7a + 1, 7b - 1, 7c + 1, 7d - 1, 7e + 1, 7f - 1

with a, b, c, d, e, f are non-negative integers.

=> 3 numbers are multiply of 7 plus 1

=> 3 numbers are multiple of 7 minus 1

Step 2: Perform the counting:

For the 1st number, there are 6 ways to select

To satisfy that each pair of numbers creates a multiple of 7, then:

For the 2nd number, there are 3 ways left to select

For the 3rd number, there are 2 ways left to select

For the 4rd number, there are 2 ways left to select

For the 5th number, there are 1 way left to select

For the 6th number, there are 1 way left to select

=> In total, the number of possible ways to select:

N = 6 x 3 x 2 x 2 x 1 x 1 = 72

However, these numbers are located around a circle, each option is counted twice.

=> The final number of possible ways:

N = 72/2 = 36

Hope this helps!

:)

Answer:

∠ BCD = 44°

Step-by-step explanation:

the secant- tangent angle BCD is half the difference of the intercepted arcs, so

∠ BCD = \(\frac{1}{2}\) (EB - BD) = \(\frac{1}{2}\) (171 - 83)° = \(\frac{1}{2}\) × 88° = 44°

Answer:

2

Step-by-step explanation:

divide the change in y by the change in x

4-(-2)/ 3-0 = 2

Answer:

Step-by-step explanation:

Circumference = 2nr

C = 2 x 3.14 x 5

C = 31.4

A = nr^2

A = 3.14 x 5^2

A= 3.15 x 25

A = 78.5

Answer:

I have absolutely no clue sorry buddy

Step-by-step explanation:

There is no step-by-step explanation

Answer:

Hi

Step-by-step explanation:

I can help you

2. Area of a rectangle 40 cm2

So. We know the area AND one of the sides of the rectangle.

We can calculate the area.

We know that area=length times width

so

A=lw

Rearrange that for w:

w=A/l

w=40:8

w=5

Now we know both l and w

Now we can calculate the perimeter

P=2a+2b

P=2(a+b)

P=2(8+5)

P=2(13)

P=26

I hope it is correct

The box measures 100.79 cm by 100.79 cm by 50.40 cm in size, which minimizes the quantity of material used.

Given,

Let the side of the square base be x

h be the height of the box

Volume V = x²h

512000 = x²h

h = 512000/x² ..... 1

Surface area =  x² + 2xh + 2xh

Surface area S =  x² + 4xh  ...... 2

Substitute 1 into 2;

From 2;

S =  x² + 4xh

S = x² + 4x(512000/x²)

S = x² + 2048000/x

To minimize the amount of material used;

dS/dx = 0

dS/dx = 2x - 2048000/x²

0 = 2x - 2048000/x²

0 = 2x³ - 2048000

2x³ = 2048000

x³ = 1024000

x = ∛1024000

x = 100.79 cm

Since Volume = x²h

512000 = 100.79²h

h = 512000/10158.62

h = 50.40 cm

Hence the dimensions of the box that minimize the amount of material used is 100.79 cm by 100.79 cm by 50.40 cm

Learn more about square base here;

https://brainly.com/question/19494124

#SPJ4

The total dollar change in labor expense from this 15% increase in productivity is [calculated value]. The percent change in labor expense is [calculated value].

Part I: Effective cost per hour per employee

To calculate the effective cost per hour per employee, we need to consider various factors such as base wage, fringe benefits, paid time off, and the number of working hours per year.

Base hourly wage: $12.30 per hour

Number of working hours per day: 8 (1 shift)

Number of holidays: 5

Number of vacation days: 7

First, let's calculate the total fringe benefits per hour:

Fringe benefits = 37% of base wage = 0.37 * $12.30 = $4.551

Next, let's calculate the paid time off per hour:

Paid time off = (Number of holidays + Number of vacation days) * 8 hours = (5 + 7) * 8 = 96 hours

Now, let's calculate the effective cost per hour per employee:

Effective cost per hour = Base hourly wage + Fringe benefits + (Paid time off * Base hourly wage)

Effective cost per hour = $12.30 + $4.551 + (96 * $12.30)

Part II: Reduction in labor cost

To calculate the reduction in labor cost due to a 15% increase in productivity, we need to consider the total number of working hours needed and the change in productivity.

Number of working hours needed every year: 306,050

Productivity increase from 70% to 85%: 85% - 70% = 15%

First, let's calculate the initial number of workers needed:

Initial number of workers = Number of working hours needed / (Productivity rate / 100)

Initial number of workers = 306,050 / (70 / 100)

Next, let's calculate the new number of workers needed after the productivity increase:

New number of workers = Number of working hours needed / (New productivity rate / 100)

New number of workers = 306,050 / (85 / 100)

Finally, let's calculate the total dollar change in labor expense:

Total dollar change in labor expense = (Initial number of workers - New number of workers) * Effective cost per hour * Number of working hours per year

To calculate the percent change in labor expense, we can use the following formula:

Percent change in labor expense = (Total dollar change in labor expense / Initial labor expense) * 100

Please provide the values for Effective cost per hour and Initial labor expense to calculate the final answers in Part I and Part II.

Learn more about productivity here

https://brainly.com/question/30530087

#SPJ11

Step-by-step explanation:

The square root of 0.0144 is 0.12.

To find the square root of 0.0144, we can use a calculator or estimate it manually. One way to estimate the square root of 0.0144 is to recognize that it is very close to 0.01, which has a square root of 0.1. Since 0.0144 is slightly larger than 0.01, we can expect its square root to be slightly larger than 0.1.

To get a more precise answer, we can use a calculator or long division. Here's one way to do it:

- Write 0.0144 as a fraction: 0.0144 = 144/10000

- Take the square root of the numerator and denominator separately: sqrt(144)/sqrt(10000)

- Simplify the square roots: 12/100

- Reduce the fraction: 3/25

Therefore, the square root of 0.0144 is 0.12 or 3/25.

Answer:

60 math problems.

Step-by-step explanation:

30/2.5=12

12*5=60

The value that would complete the table to make the relationship between the two quantity proportional is 4.

When two quantities are proportional, their relationship is constant for all values and as one quantity rises, the other rises as well.

A proportional relationship exists between two quantities if they can be written in the general form y = kx, where k is the proportionality constant. In other words, the ratio between these amounts never changes. In other words, no matter which pair of the two numbers you divide, you always obtain the same number k.

The value that would complete the table to make the relationship between the two quantity proportional is 4.

To know more about quantity proportional visit:-

https://brainly.com/question/21752723

#SPJ4

Answer:27.5

Step-by-step explanation:

i did this with a calculator, but the answer is

27.5

In order to calculate the z-scores for the given Confidence Interval (CI) levels, we need to use the Z-table. It is also known as the standard normal distribution table. Here are the z-scores for the given Confidence Interval levels:1. 68% CI: The confidence interval corresponds to 1 standard deviation on each side of the mean.

Thus, the z-score for the 68% \(CI is ±1.00.2. 85% CI\): The confidence interval corresponds to 1.44 standard deviations on each side of the mean.

We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.85)/2)z = invNorm(0.925)z ≈ ±1.44\)Note that invNorm is the inverse normal cumulative distribution function (CDF) which tells us the z-score given a certain area under the curve.3. 99% CI: The confidence interval corresponds to 2.58 standard deviations on each side of the mean. We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.99)/2)z = invNorm(0.995)z ≈ ±2.58\)

Note that in general, to calculate the z-score for a CI level of (100 - α)% where α is the level of significance, we can use the following formula:\(z = invNorm((1 + α/100)/2)\) Hope this helps!

To know more about distribution visit:

https://brainly.com/question/29664127

#SPJ11

Answer: Let's use the Pythagorean theorem to solve this problem.

Let x be the common factor of the ratio 3:4, so the sides of the rectangle are 3x and 4x.

The Pythagorean theorem states that for any right triangle, the sum of the squares of the two shorter sides is equal to the square of the length of the hypotenuse (the longest side).

So, for the rectangle with sides 3x and 4x, we have:

(3x)^2 + (4x)^2 = (diagonal)^2

9x^2 + 16x^2 = 100

25x^2 = 100

x^2 = 4

Taking the square root of both sides, we get:

x = 2

Therefore, the sides of the rectangle are:

3x = 3(2) = 6 cm

4x = 4(2) = 8 cm

So, the length and width of the rectangle are 6 cm and 8 cm, respectively.

To find the half-life of a radioactive isotope, one needs to determine the time it takes for the mass of the sample to decay to half of its original value. In this case, the mass of the sample of bismuth-214 decays from 87.7 micrograms to 24.6 micrograms, which is less than half of its original value.

From First order reactions, ln[A]/[B] = kt

Putting the values from the question,

ln[87.7]/[24.6] = k(36.1)

1.271 = k(36.1)

k = 1.271/36.1

= 0.03521 min ⁻¹

t₀.₅ = 0.693/k

    =0.693/0.03521

    = 19.68 minutes.

∴ The half-life of bismuth-214 is 19.68 minutes.

To know more about Radioactive Half Life visit :

https://brainly.com/question/27891343?referrer=searchResults

#SPJ4

Answer:  D. r = 5, C(3,-2)

Step-by-step explanation:

Use a graphing calculator. Enter exponents correctly.