A survey was taken among a group of people. The probability that a person chosen likes Italian food is 0.75, the probability that a person likes Chinese food is 0.28,
and the probability that a person likes both foods is 0.21.
Determine the probability that a person likes Italian, but not Chinese
Determine the probaility that a person likes at least one of these foods
Determine the proability that a person likes at most one of these foods -

Answer:

15% of 8.95 is 1.3425

Step-by-step explanation:

Answer:

$1.34

Hope this helped :)

Answer:

The null and alternative hypothesis are:

[tex]H_0: \mu=110\\\\H_a:\mu\neq 110[/tex]

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the average room price in Atlanta is significantly different from $110 (P-value=0.317) .

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the average room price in Atlanta is significantly different from $110.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=110\\\\H_a:\mu\neq 110[/tex]

The significance level is 0.05.

The sample has a size n=64.

The sample mean is M=112.

The standard deviation of the population is known and has a value of σ=16.

We can calculate the standard error as:

[tex]\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{16}{\sqrt{64}}=2[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{M-\mu}{\sigma_M}=\dfrac{112-110}{2}=\dfrac{2}{2}=1[/tex]

This test is a two-tailed test, so the P-value for this test is calculated as:

[tex]P-value=2\cdot P(z>1)=0.317[/tex]

As the P-value (0.317) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the average room price in Atlanta is significantly different from $110.

Answer:

5

Step-by-step explanation:

[tex]\sqrt{(2-(-2))^{2} + (6-(-3))^2}[/tex]

=[tex]\sqrt{4^{2} + 3^{2} } \\[/tex]

=[tex]\sqrt{25}[/tex]

=5

Answer:

4

Step-by-step explanation:

Garden area: 10 yd²

Each watermelon plant area: 2.5 yd²

No. of plants:

10/2.5 = 4

Answer:-27/7

Step-by-step explanation:

f(x)=3/(x+2) -√(x-3)

f(19)=3/(19+2)-√(19-3)

f(19)=3/21 - √(16)

f(19)=1/7-4/1

f(19)=(1 x 1 - 7 x 4)/7

f(19)=(1-28)/7

f(19)=-27/7

To calculate f(19), we would substitute x with 19 in the function f(x) and simplify. However, the function provided is incomplete or incorrect, and therefore, a solution cannot be confidently provided.

To solve the problem f(19), we have to substitute the value of x with 19 into the provided function f(x). However, based on the question provided, the function seems to be incomplete or incorrectly stated.

If we had a correct form of the function f(x), the process would involve replacing any instance of x with 19 and simplifying the resulting expression according to the rules of arithmetic and algebra.

Example Process with Hypothetical Function

Let's assume the function is given correctly as f(x) = 3/(x+2) - √{x-3}. Then, we would calculate:

Step 1: Substitute x with 19: f(19) = 3/(19+2) - √{19-3}

Step 2: Simplify the expression: f(19) = 3/21 - √{16}

Step 3: Complete the calculations: f(19) = 1/7 - 4

Step 4: Find the common denominator and subtract: f(19) = -27/7

However, since we do not have the correct function, I am unable to confidently provide the solution to f(19).

Answer:

Step-by-step explanation:

You have to look up (google) the number of ml in a fluid ounce. It equals 29.57 ml approximately.

Next you must look up the number of mL in a teaspoon. The conversion factor turns out to be 4.93 mL = 1 teaspoon.

1 fluid ounce = 29.57 mL

20 fluid ounces = x mL

1/20 = 29.57 /x

x = 20*29.57

x = 591.4 mL

1 teaspoon = 4.93 mL

x teaspoons = 591.4

4.93 * x = 591.4

4.93 * x/4.93 = 591.4 / 4.93

x = 119.96

Answer:

bib

peep

ewe

kayak

racecar

level

noon

Answer:

The size of the sample should be at least 1037.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error of the interval is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

A level of confidence of 99% will be used and an error of no more than .04 is desired. There is no knowledge as to what the population proportion will be. The size of sample should be at least

We need a sample size of at least n.

n is found when [tex]M = 0.04[/tex]

We don't know the proportion of the population, so we use [tex]\pi = 0.5[/tex]

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.04 = 2.575\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.04\sqrt{n} = 2.575*0.5[/tex]

[tex]\sqrt{n} = \frac{2.575*0.5}{0.04}[/tex]

[tex](\sqrt{n})^{2} = (\frac{2.575*0.5}{0.04})^{2}[/tex]

[tex]n = 1036.03[/tex]

Rounding up

The size of the sample should be at least 1037.

Answer:

-1/2

Step-by-step explanation:

Note the slope intercept form:

y = mx + b

y = (x , y)

m = slope

x = (x , y)

b = y-intercept.

In this case, the number that replaces the m (slope) is -1/2, which is your answer.

~

Answer:

m= -1/2

Step-by-step explanation:

This equation is in slope intercept form:

y=mx+b

where m is the slope and b is the y intercept

We have the equation:

y= -1/2x -3

If we compare the 2 equations:

y=-1/2x -3

y=mx+b

The slope must be -1/2, since x is being multiplied by -1/2

Answer:

Step-by-step explanation:

a) you have that:

[tex]f'(x)=\frac{(x-2)(x+8)}{(x+1)(x-5)},\ \ x\neq -1,5[/tex]

The derivative of a function equals to zero allows you to find the critical points:

[tex]f'(x)=0\\\\(x-2)(x+8)=0\\\\x_1=2\\\\x_2=-8[/tex]

x=2,8 are the critical points

b) To know the behavior if f it is necessary to know where are f is indeterminated. The derivative give to you information about the slope of f. For x=-1,5 you have an infinite slope. Hence, for that values of x you have two indetermination s of f(x.)

However, if you see the atacched images you can obser that the original function (that is obtained with the intgegral) does not have available values for x<5 due to the logrithms. Hence, there are no critical points

The function only increases after x=5 from -infinity to +infinity

c) there are no local maximum neither local minimum

Answer:

d. 0.2590

Step-by-step explanation:

In this problem, we have that:

A sample of 2027 adults.

920 overweight, and of those, 300 said they drink mostly diet soda.

1107 right weight, of those 225 said that they mostly drink diet soda.

Of 2027 adults, 300+225 = 525 said that they mostly drink diet soda.

The pooled sample proportion of individuals who mostly drink diet soda is:

525 of 2027

525/2027 = 0.2590

So the correct answer is:

d. 0.2590

Andres' job has an actual annual value of $43,400. This figure was obtained by summing his base salary, the company's health insurance contribution, and the company's retirement plan contribution.

To calculate the actual annual value of the job offer to Andres, we need to take into account his base salary, the company's contribution towards medical insurance, and the company's matching contribution to his retirement plan. Andres receives a base salary of $3,100 per month and gets paid semimonthly, which equates to an annual salary of $3,100 x 12 = $37,200.

The company pays half of Andres' $450 monthly medical insurance expense. So, that will be $450/2 = $225 per month, and over a year, that's $225 x 12 = $2,700.

Lastly, the company matches Andres' contribution to his retirement plan up to $3,500 annually.

To get the total value, add all these figures up: $37,200 (base salary) + $2,700 (health insurance contribution) + $3,500 (retirement contribution) = $43,400.

So, the actual annual value of Andres' job is $43,400.

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Answer:

2100 Watt Hours

Step-by-step explanation:

600 Watt hours is consumed by the bulb every day.

3 Days and 12 Hours = 3 1/2 Days

To find how many Watt hours was consumed in 3 1/2 days we must multiply both of the numbers.

600 x 3 1/2 = 2100

Therefore, we can conclude that 2100 Watt Hours are consumed in 3 Days and 12 Hours.

Answer:

Option A  is correct.

Step-by-step explanation:  

The linear function that has the steepest slope is,

Explanation:

Slope intercept form: The general formula is,  where m is the slope and b is the y-intercept.

Option A:

According to slope intercept form:

Slope is -8

Similarly, for

Option B :

Slope is -2

Option C:

Slope is 7

Option D :

Slope is 6

Steepest slope defined as that is closest to being vertical.

This could be a line that is positive or negative slope respectively.

Therefore, the linear function that has the steepest slope is, option A

The steepest slope is in Option 4 with a slope of -4. Therefore, Option 4 has the steepest slope.

To determine which linear function has the steepest slope, we need to compare the slopes of the given options.

The slope of a linear function can be calculated using the formula:

[tex]\[ \text{Slope} = \frac{\text{change in } y}{\text{change in } x} \][/tex]

We will calculate the slopes for each option and compare them.

Option 1:

[tex]\[ \text{Slope} = \frac{-2 - 4}{1 - (-1)} = \frac{-6}{2} = -3 \][/tex]

Option 2:

[tex]\[ \text{Slope} = \frac{13 - 10}{6 - 3} = \frac{3}{3} = 1 \][/tex]

[tex]\[ \text{Slope} = \frac{16 - 10}{9 - 3} = \frac{6}{6} = 1 \][/tex]

[tex]\[ \text{Slope} = \frac{19 - 13}{12 - 9} = \frac{6}{3} = 2 \][/tex]

Option 3:

[tex]\[ \text{Slope} = \frac{-4 - 2}{-1 - 2} = \frac{-6}{-3} = 2 \][/tex]

Option 4:

[tex]\[ \text{Slope} = \frac{-12 - (-4)}{4 - 2} = \frac{-8}{2} = -4 \][/tex]

[tex]\[ \text{Slope} = \frac{-20 - (-12)}{6 - 4} = \frac{-8}{2} = -4 \][/tex]

[tex]\[ \text{Slope} = \frac{-28 - (-20)}{8 - 6} = \frac{-8}{2} = -4 \][/tex]

Comparing the slopes:

- Option 1: Slope = -3

- Option 2: Slopes = 1, 1, 2

- Option 3: Slope = 2

- Option 4: Slopes = -4, -4, -4

The steepest slope is the largest magnitude of slope, regardless of whether it's positive or negative. In this case, the steepest slope is in Option 4 with a slope of -4. Therefore, Option 4 has the steepest slope.

Answer:

Your answer would be Triangle B is a reflection of triangle A across the x-axis. Triangle C is not a reflection of triangle A.

Explanation

B is a reflection of the x-axis.

But triangle C is not a reflection because if you fold the image with the y-axis line in the middle then you would see that triangle C doesnt match the placement of triangle A.

hope this helps

give brainliest if you please

Answer:

Without the picture of diagram, based on your description:

Triangle A is reflected across the x-axis to form triangle B.

Triangle A is rotated to form triangle C.

Option A: Triangle B is a reflection of triangle A across the x-axis.

It is correct because "Triangle A is reflected across the x-axis to form triangle B" => Triangle B is a reflection of triangle A across the x-axis

Option B: Triangle C is not a reflection of triangle A

It is correct because "Triangle A is rotated to form triangle C"

Option C: Triangle B is a reflection of triangle A across the y-axis

It is incorrect, because "Triangle A is reflected across the x-axis to form triangle B" => Triangle B is a reflection of triangle A across the x-axis, not y-axis.

Option D: Triangle C is a reflection of triangle A across the line y = x + 3

It is incorrect, because "Triangle A is rotated to form triangle C" => triangle C is a result of rotation, not reflection.

Hope this helps!

:)

Answer: 40 units

Step-by-step explanation: just did got it right.

Answer:

42 inches

By regulation it may be no more than 2.75 inches (7.0 cm) in diameter at the thickest part and no more than 42 inches (1.067 m) in length.

Step-by-step explanation:

baseball bat - is a smooth wooden or metal club used in the sport of baseball to hit the ball after it is thrown by the pitcher.

length- a measure of distance.

Answer:

30 inches

Step-by-step explanation:

Answer:

b) x > - 5

Step-by-step explanation:

x  >  - 5

x ∈ (- 5 ; + oo)

Answer:

B

Step-by-step explanation:

Edge2022

Answer:

140

Step-by-step explanation:

The volume of a triangular prism with a base of 5 cm and height of 8cm and the height of the prism as 7cm is 140 cm³

volume of triangular prism = 1 / 2 bhl

where

Therefore,

base = b = 5 cm

height = h = 8 cm

l  = 7cm

Hence,

volume of the triangular prism = 1 / 2 × 5 × 8 × 7

volume of the triangular prism = 280 / 2

volume of the triangular prism = 140 cm³

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Answer:

A number line going from negative 7 to negative 1. A closed circle is at negative 5. Everything to the right of the circle is shaded.

Step-by-step explanation:

-4.4 ≥ 1.6 x - 3.6

Solving for the value of x,

1.6 x ≤ -4.4 + 3.6

 1.6 x ≤ - 0.8

Dividing 1.6 from both sides to know value of x

x ≤ - 0.5

Answer:

the answer is a

Step-by-step explanation:

Edenuity

Answer:

C

Step-by-step explanation:

Option D is correct, There are two clusters, at 10 and 11, and at 13, 14, and 15.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Data is a collection of discrete values that convey information, describing quantity, quality, fact, statistics, other basic units of meaning

Clustering is the task of dividing the population or data points into a number of groups such that data points in the same groups are more similar to other data points in the same group than those in other groups.

There are two clusters, at 10 and 11, and at 13, 14, and 15 is  best describes the clusters in the data set

Hence, Option D is correct, There are two clusters, at 10 and 11, and at 13, 14, and 15.

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Answer:

hjjjkkkkk(hmmmm jhhjjjjjjuu

Answer: x=15

Step-by-step explanation: use distributive property:

2x + 40=4x + 10

40=2x + 10

30= 2x

15=x

Answer:

672m

Step-by-step explanation:

L*W*H

8*6*14

672m

Answer:

size=13.80966

Step-by-step explanation:

Missing information:

size=13.80966

Since p-value of FP is less than 0.05 so it is significant to the model.

If all other things remain constant then a fire place add approximately $6476 to the selling price of the average house. So statement "A fireplace adds around $6476 to the selling price of the average house." is supported by the model.

It is impossible to definitively determine the correct statement without the actual regression output. While we can make educated guesses about the significance of the 'Fireplace' variable and its impact on the house's selling price, further information like t-values, p-values, and standard errors is required to make a detailed and accurate estimate.

With the information provided, it is impossible to definitively determine which of the four options are correct without the actual regression output. However, if it were provided and the p-value for the Fireplace's coefficient is higher than 0.05, we could say at α = .05, FP is not a significant predictor in a two-tailed test. If the regression coefficient for the Fireplace is $6,476 and it is significant, then a fireplace adds around $6476 to the selling price of the average house is correct. However, declaring that FP is a more significant predictor than Size or that a large house with no fireplace will sell for more than a small house with a fireplace, would require further information that goes beyond the coefficients themselves, including the standard errors, t-values, and p-values associated with each coefficient.

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Answer:

6 cm

Step-by-step explanation:

3 is the radius

the radius is half of the diameter

to find the diameter from the radius you have to multiply it by 2

3×2

=6

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

Answer:

The second option shows the correct translation of 3 units to the right and 1 unit down.