I need help with this question.

A scatter plot would be appropriate for displaying the data for the given question as it can show the relationship between two variables (angle of incoming sunlight and number of daylight hours) and help determine if there is a correlation between them.

A scatter plot is a type of graph that displays the relationship between two variables. In this case, the two variables are the angle of incoming sunlight and the number of daylight hours experienced at a location. Each point on the plot represents a specific location and shows the values for both variables. By plotting all the data points on the graph, we can visually see if there is a correlation between the two variables.

If there is a positive correlation between the angle of incoming sunlight and the number of daylight hours, we would expect to see a general trend of the points moving from the lower left to the upper right of the graph. Conversely, if there is a negative correlation, we would expect to see the points moving from the upper left to the lower right of the graph. If there is no correlation, the points would be scattered randomly around the plot.

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-11/9 < c is the simplest form of the given inequality

What is Linear Inequality?

A linear inequality is a mathematical inequality that incorporates a linear function. A linear inequality contains one of the inequality symbols. It displays data that is not equal in graph form.

Solution:

In this question all that we have to do is to seperate the variable terms and the constant terms

It is showwn in the solution below

c - 8 < 10c + 3

-8-3 < 10c - c

-11 < 9c

-11/9 < c

as you can see after seperating the terms we can surely make an inequality

Refer to the Graph Attached

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Answer: no

Step-by-step explanation: no

The exponential form of the equation -5 = log₁ 3,125 can be found by using the definition of logarithms, which states that logₐ b = c if and only if aᶜ = b.

In this case, we want to solve for the base and exponent, so we can rewrite the equation as:

10⁻⁵ = 3,125

To get rid of the negative exponent, we can take the reciprocal of both sides:

10⁵ = 1 / 3,125

Then we can simplify by finding a common factor of 3 and 10:

10⁵ = 1 / (5⁵ * 2⁵)

Finally, we can write the exponential form as:

(2 * 5)⁵ = 3⁻⁵

So the exponential form of the equation -5 = log₁ 3,125 is 2⁵ * 5⁵ = 1 / 3⁵.

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The probability that the company will be fined is approximately 0.0129 or 1.29%.

Since the sample size is very small (n = 5), we may apply the central limit theorem to approximate the distribution of the sample mean. The sample mean has a standard deviation of 500 ml and follows a normal distribution.

We need to calculate the z-score for a sample mean of 490 ml and then discover the related probability using a common normal distribution table or calculator in order to determine the likelihood that the corporation will be punished. In order to determine the z-score, one must:

The region to the left of the z-score of -2.24 in the conventional normal distribution can be used to assess the likelihood of receiving a sample mean less than 490 ml:

Therefore, the probability that the company will be fined is approximately 0.0129 or 1.29%.

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Q:- The amount of soda in a half-liter bottle follows a normal distribution. Assume µ= 500 ml and σ = 10 ml. A government auditor will fine the company if a random sample of 5 bottles has a sample mean under 490 ml. Find the probability the company will be fined.

Answer:

circumference is 2(pi)r

r = 36

2(3.14)(36) = 226.08

B

Step-by-step explanation:

hope this helps:)

Answer:

The distance from the center of the circle to the edge is the radius (r) which is given to be 36 feet. The formula for circumference is:

Plug in r = 36 to the formula to get:

Therefore, the circumference is 72pi.

Step-by-step explanation:

Answer:

2.83 x 10^5 = 283,000

Step-by-step explanation:

When you have the 10^5 multiplying to 2.83, you are moving the number further to the left of the decimal, making it larger every power of 10. if it was 4 powers of 10, the answer would be 28,300, 3 powers of 10 would be 2,830, etc.

PS. I think you forgot to add the decimal in 2.83, 283 x 10^5 is not written in Scientific Notation.

Answer:

The only equation that would work is y=7

Step-by-step explanation:

Answer:

Step-by-step explanation:

iF THERE MUST BE 4 PILES, and you have only 4 pennies, then there must be 1 penny in each pile.  

For any integer a, 14 does not divide (33 - 5) or 21 does not divide (2a + 3).

There exists an integer a such that 14 divides (33 - 5) or 21 divides (2a + 3).

There exist odd integers a and b such that 4 does not divide (3a^2 + b^2).

For all odd integers a and b, 4 does not divide (353^2 + b^2).

To prove or disprove the statement "For any integer a, 14 | (33 - 5) or 21 | (2a + 3)", we can evaluate the expressions for different values of a. Let's try a = 1 and a = 2:

For a = 1:

(33 - 5) = 28 and

(2a + 3) = 5. Neither 14 divides 28 nor 21 divides 5.

For a = 2:

(33 - 5) = 28 and

(2a + 3) = 7. Neither 14 divides 28 nor 21 divides 7.

From these examples, we can see that the statement is false. For any integer a, neither 14 divides (33 - 5) nor 21 divides (2a + 3).

To prove or disprove the statement "There exists an integer a such that 14 | (33 - 5) or 21 | (2a + 3)", we can again evaluate the expressions for different values of a. Let's try a = 4:

For a = 4:

(33 - 5) = 28 and

(2a + 3) = 11. Neither 14 divides 28 nor 21 divides 11.

From this example, we can conclude that the statement is false. There does not exist an integer a such that 14 divides (33 - 5) or 21 divides (2a + 3).

To prove or disprove the statement "There exist odd integers a and b such that 4 | (3a^2 + b^2)", we can try different combinations of odd integers for a and b and check if 4 divides (3a^2 + b^2). Let's try a = 1 and b = 1:

For a = 1 and

b = 1:

(3a^2 + b^2) = (3 * 1^2 + 1^2) = 4. In this case, 4 divides (3a^2 + b^2).

Therefore, we have found an example where 4 divides (3a^2 + b^2) for odd integers a and b. The statement is true.

To prove or disprove the statement "For all odd integers a and b, 4 | (353^2 + b^2)", we can again try different combinations of odd integers for a and b and check if 4 divides (353^2 + b^2). Let's try a = 1 and b = 1:

For a = 1 and

b = 1:

(353^2 + b^2) = (353^2 + 1^2). In this case, 4 does not divide (353^2 + 1^2).

Therefore, we have found a counterexample where 4 does not divide (353^2 + b^2) for odd integers a and b. The statement is false.

For any integer a, 14 does not divide (33 - 5) or 21 does not divide (2a + 3).

There does not exist an integer a such that 14 divides (33 - 5) or 21 divides (2a + 3).

There exist odd integers a and b such that 4 divides (3a^2 + b^2).

For all odd integers a and b, 4 does not divide (353^2 + b^2).

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In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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In order to find the equation that has an output of 4 for an input of 16, let's use the value of x = 16 in each equation and calculate the value of y:

So the correct option is the fourth one: y = x - 12

Answer:yes

Step-by-step explanation:

yes

Answer:

You haven't given enough information.

50.4%

72%

Step-by-step explanation:

84% × 60%

\(\frac{63}{125}=0.504\)

0.504 = 50.4%

84% + 60% = 144%

144% ÷ 2 = 72%

If Ethan watches fewer than 6 movies per month, Plan A would be more expensive. If he watches more than 6 movies per month, Plan B would be more expensive.

For Plan A, the monthly cost is composed of a fixed fee of $28 plus a variable fee of $2.50 per movie watched. So, if Ethan watches x movies per month, the monthly cost for Plan A can be represented by the equation:

A = 28 + 2.5x

Here, A represents the monthly cost of Plan A, and x represents the number of movies Ethan watches per month.

For Plan B, the monthly cost is also composed of a fixed fee of $37, but the variable fee per movie watched is only $1. So, if Ethan watches x movies per month, the monthly cost for Plan B can be represented by the equation:

B = 37 + 1x

Again, B represents the monthly cost of Plan B, and x represents the number of movies Ethan watches per month.

To find the number of monthly movies watched, x, that would make the two plans have an equal monthly cost, we need to solve the equation:

A = B

So, we can substitute the equations for A and B to get:

28 + 2.5x = 37 + 1x

Now we can solve for x:

2.5x - 1x = 37 - 28

1.5x = 9

x = 6

So, if Ethan watches 6 movies per month, the monthly cost of Plan A and Plan B would be equal, at $41 per month.

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Answer:

srry its 31 and 10

Step-by-step explanation:

the numbers are 20 and 21

Hope I helped! :)

Answer:

72$

Step-by-step explanation

How to insert in a calculator 90-20%= 72

How to take 20% from a price

Divide the original price by 5. 18

Subtract this new number from the original one. 90 - 18

The number you calculated is the discounted value. 90 - 18 = 72

Answer:

The statement "If PQ≅QR , with PQ=3x–16, QR=2x+12, and RS=x+8, then PS=172" is false.

Step-by-step explanation:

It is not true that if PQ≅QR , with PQ=3x–16, QR=2x+12, and RS=x+8, then PS=172.

The statement "PQ≅QR" means that the two line segments PQ and QR are congruent, which means that they have the same length. In this case, we are given that PQ=3x–16 and QR=2x+12, so to determine if PQ≅QR, we need to check whether these two expressions are equal.

Substituting the given values for PQ and QR, we get:

3x–16 = 2x+12

Solving this equation for x, we find that x=4.

Now that we know the value of x, we can substitute it into the expression for RS to find the length of the line segment RS:

RS = x+8 = 4+8 = 12

To find the length of the line segment PS, we need to add the lengths of the line segments PQ and QR:

PS = PQ + QR = (3x–16) + (2x+12) = 5x–4 = (5*4)–4 = 16

Therefore, the statement "If PQ≅QR , with PQ=3x–16, QR=2x+12, and RS=x+8, then PS=172" is false.

The statement that PS=172 is false. Using the given conditions, we find that x equals 28 and therefore, the length of PS is actually 100, not 172.

The given statement is that if PQ≅QR, with PQ=3x–16, QR=2x+12, and RS=x+8, then PS=172. If PQ≅QR, that means they are congruent and so, PQ = QR

So, we set the two equations equal to each other and solve for x.

3x–16=2x+12

x=28

Then, we substitute x=28 into the RS equation which gives:

RS=x+8=28+8=36

To find PS (which should be PQ+RS since P to Q to R to S forms a straight path), we add the lengths:

PS=PQ+RS=2x+12+36=2*28+12+36=100, not 172. So, the original statement that PS=172 is False.

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Answer: 49.14

Step-by-step explanation: All you have to do is multiply the two and then you get 49.14 12.6 X 3.9=49.14

HOPE THIS HELPED, IF THIS IS NOT WHAT YOU WERE LOOKING FOR THEN I AM SORRY FOR WASTING AND ANSWER! IF CORRECT THEN YOU ARE WELCOME FOR THE HELP! :)

HAVE A NICE DAY!!! :D

Answer:

We can begin by simplifying each equation:

A. 52 = 8n + 4 can be rewritten as 48 = 8n or 6 = n

B. 4(2n + 1) = 52 can be simplified to 8n + 4 = 52 or 8n = 48 or 6 = n

C. 4=52-8n can be rewritten as 8n = 48 or 6 = n

D. 4n = 48 can be simplified to n = 12

Therefore, equations A, B, and C are equivalent, and equation D is not equivalent to the others.

So, the correct answers are A, B, and C.

Answer:

Step-by-step explanation:first you have to multiply then divide then add then subtract and then substitute and then you will get the answer.

The solution to the equation is 23

From the question, we have the following parameters that can be used to solve the question

7 - 5p + 3q

Also, we have the following values

p = 1 and q = 7

Substitute the know values in the given expression, so we have the following representation

7 - 5(1) + 3(7)

Evaluate the products

This gives

7 - 5 + 21

Evaluate the like terms

23

Hence the solution is 23

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The correct answer is a. H0: u≥2 hours and H1:u<2 hours. When testing a right-tailed hypothesis using a significance level of 0.025, a sample size of n=13, and with the population standard deviation unknown, the critical value is as follows:

To determine the critical value, we need to use the t-distribution since the population standard deviation is unknown.

Using a t-distribution table or calculator with 12 degrees of freedom (n-1), a one-tailed test, and a significance level of 0.025, the critical value is 2.1604.

If the test statistic is greater than or equal to this value, we can reject the null hypothesis in favor of the alternative hypothesis, which is a right-tailed hypothesis.

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Answer:

It is -2/3

Step-by-step explanation:

Answer:

Hi there!

Your answer is:

He can get a MAXIMUM of 3GBs of data a month to stay within his budget

Step-by-step explanation:

21+ 3g<=30

-21

3g<= 9

/3

g<= 3

Plug back in!

21+3(3)<=30

21+9<= 30

Hope this helps!

Given that the cost is $1.10 per pound, we can calculate the cost per servable pound by dividing the total cost ($1.10 * 4 pounds) by the servable weight (2 pounds). Therefore, the correct option is c. $2.20.

The original weight of the food item is 4 pounds, and the cost per pound is $1.10. Therefore, the total cost of the food item is 4 pounds * $1.10 = $4.40.

The servable weight of the food item is 2 pounds. To find the cost per servable pound, we divide the total cost ($4.40) by the servable weight (2 pounds):

Cost per servable pound = Total cost / Servable weight = $4.40 / 2 pounds = $2.20.

Hence, the cost per servable pound for this food item is $2.20. Therefore, the correct option is c. $2.20.

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Answer: 7

Step-by-step explanation:

a = 11, b = 7 a = 11, b = 10 a = 28, b = 7 a = 28, b = 10

✓ a = 11, b = 7You just needed to multiply the terms together

Carlos buy 35 number of angelfish and 360 number of parrotfish.

What is solving an equation?

Unifying Principle for Equation Solving

By deleting parenthesis and grouping like terms, each side of the equation can be made simpler.

The variable term on one side of the equation can be separated using addition or subtraction.

To find the variable, use multiplication or division.

x represents the number of angelfish Carlos bought and the variable y represents the number of parrotfish he bought.

Carlos bought 405 tropical fish for a museum display.

x + y = 405            ..(1)

As he bought 8 times as many parrotfish as angelfish.

⇒ y = 8x                ..(2)

Plug y = 8x in equation (1)

x + 8x = 405

     9x = 405

       x = 45

Plug x = 45 in equation (2)

y = 8(45)

y = 360

Hence, Carlos bought 35 number of angelfish and 360 number of parrotfish.

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Answer:

To determine if the point (2, -8) is a solution to the system of inequalities:

y < x - 1 ----(1)

y > -x + 2 ----(2)

We need to check if the point (2, -8) satisfies both inequalities.

First, let's check inequality (1):

y < x - 1

Substituting x = 2 and y = -8, we get:

-8 < 2 - 1

-8 < 1

The inequality is true.

Now, let's check inequality (2):

y > -x + 2

Substituting x = 2 and y = -8, we get:

-8 > -2 + 2

-8 > 0

The inequality is false.

Since the point (2, -8) satisfies inequality (1) but not inequality (2), it is not a solution to the system of inequalities.

Therefore, the point (2, -8) is not a solution to the system of inequalities y < x - 1 and y > -x + 2.