An art gallery had 12 paintings for sale.
A customer bought 3 paintings.

What fraction of the paintings are still for sale?

Answer:

Only the primary color wavelengths are being absorbed by the ball.

Answer:Which statement is true when looking at a black ball?

Group of answer choices

Only the primary color wavelengths are being reflected by the ball.

All color wavelengths are being reflected by the ball.

All color wavelengths are being absorbed by the ball.

Only the primary color wavelengths are being absorbed by the ball.

Step-by-step explanation:

Answer:

14%

Step-by-step explanation:

Using the formula for calculating Simple interest.

Simple interest = Principal × Rate × Time/100

Given Simple interest = $16.68

Principal = loan obtained = $580

Time (in years) = (75/365) year {we will convert days to year}

Rate (in %) = ?

On substituting to get the rate

16.68 = {580×R×(75/365})/100

16.68 = 580×R×75/365×100

16.68×36,500 = 580×R×75

608,820 = 43,500R

R = 608,820/43,500

R = 13.99℅

Rate ≈ 14%

The interest rate that was charged for the loan is approximately 14%

The Law of Syllogism permits you to draw a conclusion from a pair of true assertions when the conclusion of one statement is also the other statement's hypothesis.

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Answer:

The answers are

1) x=24

2) x=30

b) h = \(tan \theta\)  x 17 is the required equation.

c) The height of the streetlight is 20.4 ft.

The height of the person is 6 ft.

The distance at which the person is standing from the streetlight = 12 ft.

The distance at which the person's shadow appears = 5ft.

a) Hence, we can make the following diagram.

The right triangle below gives a visual representation of the problem. It shows the known quantities and a variable 'h' to indicate the height of the streetlight.

b) Let's now find an equation trigonometric function involving the unknown quantity 'h'.

from the below diagram, we can say that,

\(tan \theta\) = h/base

base= 12+5=17

hence we have, \(tan \theta\) = h/17

h = \(tan \theta\)  x 17 is the required equation.

c) Now we have to find the height of the streetlight.

firstly let's find the value of \(\theta\),

\(\theta\) = tan 6/5.

\(tan^{-1}\)(6/5) = 50.2°

hence, tan 50.2 = h/17

                   1.20 = h/17

                         h= 1.20 x 17

                         h= 20.4 ft.

Hence, the height of the streetlight is 20.4 ft.

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a. The three will grow as quickly as 4 inches per month in relationship A.

b. Unit rate (m) = 4.5.

c. Slope (m) = 3.5

d. The tree in relationship C will be the tallest after 6 months.

The slope or unit rate of a linear relationship is the value of m in the equation y = mx + b, where b is the y-intercept and m is the slope.

a. The three grows 4 inches per month in relationship A.

Slope (m) = 4

y-intercept (b) = 5

Equation for relationship A is: y = 4x + 5.

b. Using two points from the table, (0, 3) and (2, 12):

Unit rate (m) = change in y / change in x = (12 - 3) / (2 - 0)

m = 9/2

m = 4.5.

y-intercept (b) = 3

Equation for relationship B is: y = 4.5x + 3

c. Using two points from the line, (0, 10) and (2, 17):

Slope (m) = (17 - 10) / (2 - 0) = 7/2

m = 3.5

y-intercept (b) = 10

Equation for relationship C is: y = 3.5x + 10.

d. Using the equation for each relationship, we have:

After 6 months, the first tree would be: y = 4(6) + 5 = 29 inches.

After 6 months, the second tree would be: y = 4.5(6) + 3 = 30 inches.

Using the graph for C, after 6 months, the second tree would be: 31 inches.

Therefore, the tree in relationship C will be the tallest after 6 months.

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Step-by-step explanation:

Use Pythagorean theorem to find the base of the right triangle

221^2 = 195^2 + b^2

b = 104 km

triangle area = 1/2 base * height =  1/2 * 104 * 195 = 10140 km^2

Now multiply by the height to find volume

10140 km^2  * 15 km  = 152100 km^3

=======================================================

Reason:

The start point occurs at x = 0, since negative time values do not make sense. In other words, a negative number of days isn't possible.

Plug x = 0 into the function to find that...

y = 65*4^x

y = 65*4^0

y = 65*1

y = 65

Recall that raising any nonzero number to the zeroth power gives 1 (i.e. x^0 = 1 where x is any number but zero)

We've shown that x = 0 leads to y = 65.

That number out front (65) is the amount of bacteria at the start, to confirm the answer above.

In general, y = a*b^x will have "a" as the starting amount. We have a = 65 and b = 4 in this case. The "b" term is tied closely to the growth rate.

The following data shows the daily production of cell phones. 7, 10, 12, 15, 18, 19, 20. Mean The formula for finding the mean is: mean = (sum of observations) / (number of observations).

Therefore, the mean for the daily production of cell phones is: Mean = (7+10+12+15+18+19+20) / 7

= 101 / 7

Mean = 14.43

Variance The formula for finding the variance is: Variance = (sum of the squares of the deviations) / (number of observations - 1) Where the deviation of each observation from the mean is: deviation = observation - mean First, calculate the deviation for each observation:7 - 14.43

= -7.4310 - 14.43

= -4.4312 - 14.43

= -2.4315 - 14.43

= 0.5718 - 14.43

= 3.5719 - 14.43

= 4.5720 - 14.43

= 5.57

Now, square each of these deviations: 56.25, 19.62, 5.91, 0.33, 12.75, 20.9, 30.96 The sum of these squares of deviations is: 56.25 + 19.62 + 5.91 + 0.33 + 12.75 + 20.9 + 30.96

= 147.72

Therefore, the variance for the daily production of cell phones is: Variance = 147.72 / (7-1) = 24.62 Standard deviation ) Mean = 14.43b) Variance per Day = 24.62c) Standard Deviation = 4.96

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The number of Americans to leave a tip of more than 20% in 1500 is 90

If only 6% of Americans leave a tip of more than 20% for satisfactory service in a restaurant, we can assume that the same proportion of restaurant customers will do so.

Therefore, out of 1,500 restaurant customers, we would expect:

6% of 1,500 = (6/100) x 1,500 = 90

So we would expect 90 restaurant customers to leave a tip of more than 20%.

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Answer:

280 Cubic inches

Step-by-step explanation:

When finding the volume, the equation is V=l*w*h

Therefore, the equation should be:

10.1*3.9*6.8

This is equal to exactly 267.852

However, the answer is 280 cubic in. because it's a larger number and it's about 13 from the actual answer. On the other hand, 250 cubic in. is about 17 from the actual number.

Answer:

-52

Step-by-step explanation:

I hope this helps!

Answer: -52

Step-by-step explanation: Using PEMDAS

(2x3)+4-62

6+4-62

10-62

= -52

Answer:

till 15 days.

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U can earn 5 dollars also

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Answer:

Answer:

19 : 10 = 19 : 10

Solution:

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 19 and 10 is 1

Divide both terms by the GCF, 1:

19 ÷ 1 = 19

10 ÷ 1 = 10

The ratio 19 : 10 cannot be reduced further by dividing both terms by the GCF = 1 :

This ratio is already in lowest terms.

Therefore:

19 : 10 = 19 : 10

Step-by-step explanation:

Answer:

Part a) The slope of line that passes through the points A (10,4) and B (-2 , -5) is \(\mathbf{Slope=\frac{3}{4} }\)

Part b) The slope of line that passes through the points C (-7 ,1) and D (7, 8) is \(\mathbf{Slope=\frac{1}{2} }\)

Step-by-step explanation:

Part I: Find the slope of the line that passes through the following points.

Part a)

A (10,4) and B (-2 , -5)

We need to find slope of the line that passes through the given points.

The formula used is: \(Slope=\frac{y_2-y_1}{x_2-x_1}\)

We can take any two points and the slope will be same.

I am taking points A (10,4) and B (-2 , -5)  and finding slope

We have \(x_1=10, y_1=4, x_2=-2,y_2=-5\)

Putting values and finding slope

\(Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-5-4}{-2-10} \\Slope=\frac{-9}{-12}\\ Slope=\frac{3}{4}\)

So, the slope of line that passes through the points A (10,4) and B (-2 , -5) is \(\mathbf{Slope=\frac{3}{4} }\)

Part a)

C (-7 ,1) and D (7, 8)

We need to find slope of the line that passes through the given points.

The formula used is: \(Slope=\frac{y_2-y_1}{x_2-x_1}\)

We can take any two points and the slope will be same.

I am taking points C (-7 ,1) and D (7, 8)  and finding slope

We have \(x_1=-7, y_1=1, x_2=7,y_2=8\)

Putting values and finding slope

\(Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{8-1}{7-(-7)} \\Slope=\frac{7}{14}\\ Slope=\frac{1}{2}\)

So, the slope of line that passes through the points C (-7 ,1) and D (7, 8) is \(\mathbf{Slope=\frac{1}{2} }\)

Answer:

-11x-7=-3x^2-11x-7=-3x^2-11x-7=-3x^2-11x-7=-3x^2-11x-7=-3x^2-11x-7=-3x^2-11x-7=-3x^2-11x-7=-3x^2-11x-7=-3x^2-11x-7=-3x^2-11x-7=-3x^2

Step-by-step explanation:

-11x-7=-3x^2-11x-7=-3x^2-11x-7=-3x^2-11x-7=-3x^2-11x-7=-3x^2

Answer:

25/2

Step-by-step explanation:

Caio comprou uma lembrança para todos os amigos e gastou R $ 12,50.

Comparando e resolvendo as opções dadas a nós,

a) 125/2 = 62,5

A opção a está errada

b) 25/5 = 5

Opção b está errada

c) 125/5 = 25

A opção c está errada

d) 25/2 = 12,50

A opção d está correta

Portanto, a fração que pode representar este valor é 25/2

The simplified form of the expression which is as described by the word phrase given in the task content is; 83.4.

In order words, when the sum of 5.5 and 4.3 all divided by the quantity 4 end quantity times the quantity 2 minus 6 end quantity squared plus 5 is being simplified, it gives 83.4

According to the task content, it follows that the expression given by the word phrase and required to be simplified is;

{(5.5 + 4.3)/4} × (2-6)² + 5.

Hence, it follows from PEMDAS guidelines that the parentheses be solved first as follows;

{(9.8)/2} × (-4)² + 5

= 4.9 × 16 + 5

Hence, by multiplying first, we have;

= 78.4 + 5

= 83.4.

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The simplified form of the expression which is as described by the word phrase given in the task content is; 83.4.

In order words, when the sum of 5.5 and 4.3 all divided by the quantity 4 end quantity times the quantity 2 minus 6 end quantity squared plus 5 is being simplified, it gives 83.4

What is the simplified form of the word phrase given in the task content?

According to the task content, it follows that the expression given by the word phrase and required to be simplified is;

{(5.5 + 4.3)/4} × (2-6)² + 5.

Hence, it follows from PEMDAS guidelines that the parentheses be solved first as follows;

{(9.8)/2} × (-4)² + 5

= 4.9 × 16 + 5

Hence, by multiplying first, we have;

= 78.4 + 5

= 83.4.

Answer:

Step-by-step expThe answer would be 18 because 36÷2 is 18.

The probability that a randomly selected point inside a triangle with side lengths 5, 12, and 13 has a distance from the nearest vertex of the triangle less than 2 is approximately 0.4286, or 42.86%.

To find the probability, we can consider the triangle with side lengths 5, 12, and 13 as a right triangle, where the side length 13 represents the hypotenuse. Let's assume the vertices of the triangle are A, B, and C, with AB = 5, AC = 12, and BC = 13.

First, we calculate the area of the triangle using Heron's formula, which gives us √(s(s-a)(s-b)(s-c)), where s is the semiperimeter of the triangle and a, b, and c are the side lengths. In this case, s = (5+12+13)/2 = 15.

Using the formula, the area of the triangle is \(\sqrt{15(15-5)(15-12)(15-13)} = \sqrt{15 \cdot 10 \cdot 3 \cdot 2} = \sqrt{900} = 30\).

Now, let's consider the smaller triangle formed by the original triangle's vertices and a point P inside it. To calculate the probability, we need to find the area of the region where the distance from P to the nearest vertex is less than 2.

If we draw circles centered at each of the vertices A, B, and C with radius 2, the area enclosed by these circles within the triangle represents the region we are interested in.

Calculating the areas of these circles, we find that each circle has an area of 4π. Since there are three circles, the total area of the enclosed region is 3 × 4π = 12π.

Therefore, the probability that a randomly selected point inside the triangle has a distance from the nearest vertex less than 2 is given by (12π / 30) = (2π / 5), which is approximately 0.4286 or 42.86%.

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Answer:

\(y=3x^2+12x+17\)

Step-by-step explanation:

The equation in vertex form is \(y=a(x+2)^2+5\).

We can use the point \((1,32)\) to solve for \(a\).

\(32=a(1+2)^2+5 \\ \\ 27=9a \\ \\ a=3 \\ \\ \\ \therefore y=3(x+2)^2 + 5 \\ \\ =3(x^2+4x+4)+5 \\ \\ =3x^2+12x+12+5 \\ \\ =3x^2+12x+17\)

Answer:

\(\huge\boxed{\sf 3x -4}\)

Step-by-step explanation:

Add both equations.

= 2x + 1 + x - 5

Combine like terms

= 2x + x + 1 - 5

\(\rule[225]{225}{2}\)

Answer:

f(x) + g(x) = 3x - 4

Step-by-step explanation:

The problem is,

→ f(x) + g(x)

Let's solve the problem,

→ f(x) + g(x)

→ (2x + 1) + (x - 5)

→ 2x + 1 + x - 5

→ (2x + x) + (1 - 5)

→ 3x +(-4)

→ 3x - 4

Hence, answer is 3x - 4.

Answer:

Variable income is amount of money a person receives that changes over an amount of time, or changes according to the situation. The Commissions and interest on investments or savings might be examples of variable income.

Step-by-step explanation:

Answer:

"Variable income means earned or unearned income that is not always received in the same amount each month."

Step-by-step explanation:

Answer:

I'm sorry but I can't see it lol.. maybe try taking a clear pic ya know.

I don't really understand the question. Do u have a picture?

Slope intercept form formula: Y = mx + b

M represents the slope and B represents the y-intercept.

The fourth choice. For example, (x+2)(x-2)>0 we'll get x>2 or x<-2 because whenever you substitute x>2 for example x = 3, the value will be higher than 0 itself.

If we substitute x = 3 (for x>2)

We'll get (3+2)(3-2)>0

5(1)>0

5>0 The statement is true.

If we substitute x = -3 (for x<-2)

We'll get (-3+2)(-3-2)>0

-1(-5)>0

5>0 The statement is true.

We don't say x>2 AND x<-2, In math, we only say x>2 OR x<-2

Answer:

x >2 and x < -2

Step-by-step explanation:

The line on the right starts on -2 and goes towards -10

So ; x is x < -2

The line on the right starts on 2 and goes towards 10

So ; x is  x >2

Answer:

Scott sent 23 text, Elsa sent 16 and Miguel sent 64 test.

Step-by-step explanation:

Approximately 25% of the adult population is allergic to pets with fur or feathers, but only 4% of the adult population has a food allergy. A quarter of those with food allergies also have pet allergies. The probability of having food allergies but not being allergic to pets is 4% - 0.01 = 0.03. The correct option is b.

Given that approximately 25% of the adult population is allergic to pets and 4% has a food allergy, and a quarter of those with food allergies also have pet allergies, we can calculate the probability as follows:

Probability of having food allergies but not being allergic to pets = Probability of having food allergies - Probability of having both food and pet allergies

The probability of having food allergies is 4%, and a quarter of those with food allergies have pet allergies, so the probability of having both food and pet allergies is (4% * 0.25) = 0.01.

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If we reject H₀ when Hₐ is true, it is a type II error. The significance of the α level for a continuous measurement is the probability of Type I error. The strength of the test for alternatives is 1 minus elsewhere II. type error probability.

Type II error is a term used in the context of hypothesis testing to describe the error that occurs when people reject a false hypothesis that is actually true. A type II error creates a false positive, also known as an omission error. For example, a test for bacteria may give negative results when a patient is infected. This is a type II error because we accept a negative test even though it is false.

Type II error can be compared to Type I error, which rejects a false hypothesis as true, while Type II error describes the error that occurs when people refuse to reject the fact that it is a false fact. Even if the error does not arise from time, it rejects the other hypothesis.

Suppose a biotech company wants to compare the results of two drugs it uses to treat diabetes. The null hypothesis states that the two drugs are equally effective. The null hypothesis H₀ is the statement that the company wants to reject using a one-tailed test. Another theory, Hₐ, says that no two drugs have the same effect. Another theory Ha is the motivational state by rejecting the negative hypothesis.

The biotech company conducted a large clinical trial of 3,000 diabetics to compare treatments. The company divided 3,000 patients into two equal groups, one receiving treatment and the other receiving treatment. chose a significance level of 0.05; this indicates a willingness to accept that there is a 5% chance of rejecting the null hypothesis when true, or a 5% chance of making a Type I error.

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Complete Question:

Failing to reject H0 when H0 is true is

(1) Type I error.

(2) Type II error.

(3) no error.

(4) impossible.

The probability that the students will have a pop quiz on a randomly selected day 0.77

Mrs. Barnes’s class determined the probability that she will check homework on a randomly chosen day is 0.42.

They also determined the probability that she will give a pop quiz when she checks homework is 0.6, and the probability that she will give a pop quiz when she does not check homework is 0.9.

Then the probability that Mrs. Barnes does not check homework if the students take a pop quiz will be

P= 0.42*0.60 + 0.58*0.90

P = 0.252 + 0.522

P = 0.774

P ≈ 0.77

The probability that the students will have a pop quiz on a randomly selected day 0.77

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