At a certain college, 16% of students speak Spanish, 5% speak Italian, and 396 speak both languages. A student is chosen at random from the college. What is the probability that the student speaks Spanish given that he or she speaks Italian? Round your answer to three decimal places A 0.188 OB 0.600 C. 0.180 OD. 0.020

The probability that the sample mean is 36 or more pieces of candy is approximately 18.67%.

To calculate the probability that the sample mean is 36 or more pieces of candy, we need to use the properties of the normal distribution. Given that the population mean is 35 pieces of candy and the standard deviation is 5 pieces, we can use the Central Limit Theorem.
The Central Limit Theorem states that as the sample size increases, the distribution of the sample means approaches a normal distribution, regardless of the shape of the population distribution. Since the sample size is 40, we can assume a normal distribution.
To calculate the probability, we need to standardize the sample mean using the formula z = (x - μ) / (σ / √n),

where x is the sample mean, μ is the population mean, σ is the standard deviation, and n is the sample size.
In this case, x = 36, μ = 35,

σ = 5, and n = 40.

Plugging these values into the formula, we get z = (36 - 35) / (5 / √40)

≈ 0.8944.
To find the probability that the sample mean is 36 or more, we need to calculate the area under the normal curve to the right of z = 0.8944. Using a standard normal table or a calculator, we find that the probability is approximately 0.1867, or 18.67%.
Therefore, the probability that the sample mean is 36 or more pieces of candy is approximately 18.67%.

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Answer:

$20

Step-by-step explanation:

3x + 100 = 160

3x = 60

x = 20

Therefore , the solution of the given problem of percentage comes out to be 38 years old is the median age.

In statistics, a "a%" is a figure or statistic that is expressed as a percentage of 100. The words "pct," "pct," but instead "pc" are also not frequently used. However, the sign "%" is frequently used to represent it. The percentage sum is flat; there are no dimensions. Percentages are truly integers because their numerator almost always equals 100. Either the % symbol (%) or the additional term "fraction" must come before a number to denote that it is a percentage.

Here,

The following algorithm must be used to determine the mean age:

=> mean = (all years added together) / (total number of persons)

The representative age for each age group is the age that falls in the middle of the range. With this approach, we can determine the total age as follows:

=>18(9) + 23(28) + 28(33) + 33(90) + 38(122) + 56(48) + 48(24) + 76(20) + 1089(0.25)

=> 162 + 644 + 924 + 2970 + 4636 + 2688 + 1152 + 1520 + 272.25

=>18(9) + 23(28) + 28(33) + 33(90) + 38(122) + 56(48) + 48(24) + 76(20) + 1089(0.25)

According to the information provided, there are 460 people in total.

=> mean = 17745.25 / 460

=> mean = 17745.25 / 460

As a result, the average lifespan is roughly 38.552 years.

The age category in this instance with the highest frequency has a midpoint of 38 and a frequency of 122. As a result, 38 years old is the median age.

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The area of each box would be proportional to the salaries of each group. Option C.

The use of models to represent data in mathematics is well known. In the case of the data we have, the salaries of the college graduates and the high school graduates have been shown by the use of squares.

We can see that the sizes of the squares respectively show the magnitudes of the salries of the high school graduate and that of the college graduate. The area of the boxes would be proportional to the salaries.

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Factor when dividing the function the remainder is zero. The factorized form of the function  is 3(x^2-2x-80).

A factor of a function is a factor which when multiplied by another the result is the function itself.

here, we have,

We know that in order to factorize a function of the second-order, we need to take the common terms out from the expression,

f(x) = 3x^2 - 6x - 240

now,

Taking 3 as the common terms out of the entire function,

f(x) = 3x^2 - 6x - 240

     = 3(x^2-2x-80)

Hence, the factorized function, f(x) = 3x^2 - 6x - 240 is 3(x^2-2x-80)

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Answer:

X=1550-10y

Step-by-step explanation:

X+10y=1550

Subtract 10y from each side

X+10y- 10y=1550-10y

X=1550-10y

Answer:

\(x = 1550 - 10y\)

Step-by-step explanation:

\(x + 10y = 1550 \\ x + 10y - 10y = 1550 - 10y \\ x = 1550 - 10y\)

hope this helps

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good luck! have a nice day!

If in a survey, 200 college students were asked whether they live on campus and if they own a car, 55% of college students in the survey don't own a car.

To find the percent of college students who don't own a car, we need to add up the number of students who don't own a car and divide it by the total number of students in the survey. In this case, the total number of students in the survey is 200.

From the table, we can see that there are 88 students who live on campus and don't own a car, and 22 students who don't live on campus and don't own a car. So the total number of students who don't own a car is 88 + 22 = 110.

To find the percentage, we divide the number of students who don't own a car by the total number of students in the survey and then multiply by 100 to get the percentage:

Percentage of students who don't own a car = (110/200) x 100% = 55%

When working with percentages, we need to divide the number we are interested in by the total and then multiply by 100 to get the percentage.

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Answer: 1 gallon per 20 miles.

Step-by-step explanation: Take 2400 divided by 120 to find the unit rate.

Using it's definition, the probabilities are given as follows:

The probability of an event in an experiment is calculated as the number of desired outcomes in the context of the experiment divided by the number of total outcomes in the context of the experiment.

The total number of bulbs in this problem is given as follows:

6 + 9 + 5 = 20.

Six of them are red, hence the probability of a red bulb is:

p = 6/20 = 0.3 = 30%.

Nine of them are blue, hence the probability of a blue bulb is:

p = 9/20 = 0.45 = 45%.

Five of them are green, hence the probability of a green bulb is:

p = 5/20 = 0.25 = 25%.

The probability of a red or blue bulb is:

p = 0.3 + 0.45 = 0.75.

The probability of a blue or green bulb is:

p = 0.45 + 0.25 = 0.6.

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Answer:

3x^3+7x^2y−4y^3

Step-by-step explanation:

(3x^2+xy+−2y^2)(x+2y)

=(3x^2)(x)+(3x^2)(2y)+(xy)(x)+(xy)(2y)+(−2y^2)(x)+(−2y^2)(2y)

=3x^3+6x^2y+x2y+2xy^−2xy^2−4y^3

=3x^3+7x^2y−4y^3

The value of the numerical expression -(5⁻⁴)(5²) will be - 1/25. Then the correct option is C.

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ -(5⁻⁴)(5²)

Simplify the expression, then we have

⇒ -(5⁻⁴)(5²)

⇒ -(1/5⁴)(5²)

⇒ -(5² / 5⁴)

⇒ - 25 / 625

⇒ - 1/25

The value of the numerical expression -(5⁻⁴)(5²) will be - 1/25. Then the correct option is C.

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Answer:

12.125 or 890

Step-by-step explanation:  If you do 970/80 that will equal 12.125

or it's 890 because you can have 4,000 games and if you do 970-80= 890.

Answer: -12x+28

Step-by-step explanation:

The -4 distributes to everything in the parenthesis.

-4*3x = -12x

-4*-7 = 28

So you basically put those together and end up with -12x+28

I think its this... Answer:  x = 11

Step-by-step explanation:  C is the center of circle described around a triangle ΔPQR or circumcenter, and according to this :PC = RC = QCPC = RC3x + 7 = 5x - 15 => 5x - 3x = 7 + 15  => 2x = 22  => x = 22/2 = 11x = 11Check:RC = QC5x - 15 = 51 - x  => 5x + x = 51 + 15  => 6x = 66 => x = 66/6 = 11x = 11

Hope it helped tried my best to solve this!! :]

Explanation:

Let x be the number of people and y be the amount of meat.

They have a proportional relationship:

To find the constant of proportionality k we use the initial information that for 10 people she uses 4 pounds of meat.

x=10 and y=4:

The relationship is:

Now we just have to replace x by 20, 30, 40, 50 and 75 in this relationship and find y

Answer:

Number of people Amount of meat

20 8

30 12

40 16

50 20

75 30

Answer:

A is the correct answer

Answer:

non of them

Step-by-step explanation:

Square number should have power of 1/2 .

Answer:

$270 in all

Just multiply 9x20 and 9x10 and add them together

The number of moles of Cu2+ in the 16.0 g sample of the soluble plant fertilizer can be calculated as follows:

First, we need to determine the mass of Cu2+ in the sample. Since the concentration of Cu2+ in the fertilizer is given as a percentage by weight, we can simply multiply the mass of the sample by the concentration to obtain the mass of Cu2+ in the sample:

Mass of Cu2+ = 16.0 g x 0.0700% = 0.0112 g

Next, we need to convert the mass of Cu2+ to moles. The molar mass of Cu2+ is 63.55 g/mol. Therefore, the number of moles of Cu2+ in the sample is:

Moles of Cu2+ = Mass of Cu2+ / Molar mass of Cu2+ = 0.0112 g / 63.55 g/mol = 0.0001767 mol

Thus, the number of moles of Cu2+ in the 16.0 g sample of the soluble plant fertilizer is 0.0001767 mol.

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Answer:

B

Step-by-step explanation:

\(3\sqrt{5}\)

37 boys are needed to ensure that a two-sided test of hypothesis has 80% power to detect a difference in BMI of 2 units

A statistical hypothesis test is a technique for determining if the available data are sufficient to support a specific hypothesis. We can make probabilistic claims regarding population parameters through hypothesis testing.

Given a=0.2 |Z(0.1)|=1.28

From standard normal table Power=0.8, |Z(0.2)|=0.84

Again, from standard normal tables=5.7,ES=2

So n={(Z(1-a/2) + Z(1-power))/E}² ×s ²

=[(1.28+0.84)/2]² ×5.7²

=36.50576 Rounding off , we get n=37

Hence, 37 boys are needed to ensure that a two-sided test of hypothesis has 80% power to detect a difference in BMI of 2 units.

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Answer:

x = 9.629 meters

Step-by-step explanation:

x / 10.25 = 1.55 / 1.65

x = 1.55 / 1.65 * 10.25

x = 9.629 meters

Answer:

1 / 5^4  (or 1 / 625)

Step-by-step explanation:

The easiest way to understand and solve this is by expanding everything:

5^3 = 5*5*5

5^7 = 5*5*5*5*5*5*5

Now put those over each other like this:

        5*5*5

-----------------------

5*5*5*5*5*5*5

Then I essentially draw "1"s or lines over each pair of 5s (from the numerator to the denominator) until all of the 5s on the numerator or denominator are used up.

Note: This is completely legal as you are simply dividing pairs of 5/5 to get many 1s, and if you multiply everything by 1, it will eliminate the 1s.

So once you "cross all of them out" you are left with a 1 at the top and 5*5*5*5 at the bottom.

So you can simplify that down to

1 / 5^4  (or 1 / 625, however it's usually not necessary to calculate larger exponents)

Answer:

k = -23/4

Step-by-step explanation:

-4k + 9 = 32

-4k = 32 - 9

-4k = 23

k = -23/4

Answer:

Step-by-step explanation:

subtract 9 from 32, you'll get 23. divide  negative 4 from 23 and your answer should be positive. you divide on both sides, so the K will just cancel out to be by itself. I hope that helps!

we know that

An equilateral truangle has three equal length sides

so

If triangle ABC is an equilateral triangle

then

AB=BC=AC

so

step 1

Find out the distance AB

The formula to calculate the distance between two points is equal to

we have

A (-4,6)

B (6,6)

substitue in the formula

step 2

Find the distance BC

we have

B (6,6)

C( 1,-3)

substitute the values in the formula

we have that

AB is not equal to BC

therefore

Is not an equilateral triangle

Is not necessary calculate the distance AC

Answer:

it C

Step-by-step explanation:

Answer:

Volume of round cake pan = volume of cylinder

Volume of a cylinder = \(\pi r^2h\) (where r is the radius and h is the height)

Radius = \(\dfrac12\) diameter ⇒ \(r=\dfrac72=3.5\)

⇒ volume of round cake pan = \(\pi \times 3.5^2 \times 2=24.5\pi\)

= 76.97 in³ (nearest hundredth)

Volume of rectangular cake pan = volume of rectangular prism

volume of rectangular prism = \(wlh\) (where w is the width, l is the length and h is the height)

⇒ volume of rectangular cake pan = 6 x 9 x 2 = 108 in³

As 108 > 76.97, the rectangular cake pan has a larger volume

Answer:

264

Step-by-step explanation:

Divide 480 by 20. (24)

Multiply 24 by 11.  

Answer should be 264

* Hope that helped

Answer:

yah sure its  a btw *rolls eyes*

Step-by-step explanation:

Answer:

ANswer is c

Step-by-step explanation:

The  are the same in lenth

The test statistic is 1.177, and the p-value is approximately 0.120, which is greater than the significance level of 0.05, indicating that there is not enough evidence to conclude that the proportion of defective circuit boards is greater than 3%.

To test the hypothesis that more than 3% of circuit boards are defective, we can use a one-tailed test with the following null and alternative hypotheses:

\(H_0\): p ≤ 0.03 (proportion of defective boards is less than or equal to 3%)

\(H_a\): p > 0.03 (proportion of defective boards is greater than 3%)

where p is the true proportion of defective boards in the population.

To calculate the test statistic, we can use the following formula:

z = (p-cap - p0) / √(p0(1-p0)/n)

where p is the sample proportion of defective boards, p0 is the hypothesized proportion (0.03), and n is the sample size.

In this case, we have p-cap = 0.04, p0 = 0.03, and n = 100, so the test statistic is:

z = (0.04 - 0.03) / √(0.03(1-0.03)/100) = 1.177

To determine the p-value associated with this test statistic, we can use a standard normal distribution table or a calculator to find the probability of observing a z-value of 1.177 or greater under the null hypothesis. This probability is approximately 0.120, which is the area to the right of z = 1.177 on the standard normal distribution curve.

Since this p-value is greater than the common significance level of 0.05, we fail to reject the null hypothesis.

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Answer:

$64.15

Step-by-step explanation:

1.08(99(1-0.4))

99x0.6=59.4

59.4x1.08= 64.152