Select all the inequalities that have the set
0
x <
B
x> - 5/²/2
2
0 x > 4 ²/3
x<4²
as possible solutions for x.

Answer:

40b - 4b    or 36 b

Step-by-step explanation:

No. of tomatoes in each box = 40

No. of box shipped = b

No. of tomatoes in those b box = b*No. of tomatoes in each box = 40b

No. of tomatoes damaged in each box = 4

No. of box shipped = b

No. of tomatoes damaged in those b box = b*No. of tomatoes damaged in each box = 4b

Thus, total no. of tomatoes that can be sold by store = No. of tomatoes in those b box - No. of tomatoes damaged in those b box  = 40b - 4b

Algebraic expression to express the no. of tomatoes that can be sold from those b box is

40b - 4b = 4b(10-1) = 4b(9) = 36b (Answer)

Option a. calculate a correlation coefficient is the right response because a correlation coefficient measures the strength and direction of the relationship between two interval level variables.

This is because a correlation coefficient measures the strength and direction of the relationship between two interval level variables. It provides a numerical value that ranges from -1 to 1, where -1 indicates a strong negative correlation, 0 indicates no correlation, and 1 indicates a strong positive correlation.

A scatter plot is also useful in visualizing the relationship between two variables, but it does not provide a numerical value like the correlation coefficient. A test of significance and variance calculation are not typically used as first steps in assessing the relationship between two variables.

Hence, option a. calculate a correlation coefficient is the correct answer.

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Answer:

that looks like a cat.

Step-by-step explanation:

sorry, that's probably a snake :D

A rectangular prism has 6 faces, 8 vertices and 12 edges.

What is rectangular prism?

A rectangular prism is a three-dimensional shape, that has six faces (two at the top and bottom and four are lateral faces). All the faces of the prism are rectangular in shape. Hence, there are three pairs of identical faces here. Due to its shape, a rectangular prism is also called a cuboid. A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same.

If all the faces of the prism are squares then the rectangular prism is a cube. The volume of a rectangular prism is a measure of the space inside the prism.

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Answer:

a) 5x-1

b) 9x+2

c) 5x+6

Step-by-step explanation:

a) (1+2x)-(2-3x) =

2x+1+3x-2=

5x-1

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

b) (-3+5x)-(-4x-5)=

5x+4x-3+5=

9x+2

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

c) (x+1)-(-4x-5)=

x+1+4x+5=

5x+6

The equation to predict how many hours, x, the second part of the trip will take is :x = (total distance - distance traveled in the first part) / average speed x = (125 - 75) / 50  x = 1

To predict how many hours, x, the second part of the trip will take, we can use the equation:

x = (total distance - distance traveled in the first part) / average speed

In this case, the total distance of the trip is 125 miles, and the distance traveled in the first part is the product of the average speed and the time taken for the first part, which is 50 miles/hour * 1.5 hours = 75 miles.

Substituting these values into the equation, we have:

x = (125 - 75) / 50

Simplifying the equation, we get:

x = 50 / 50

x = 1

Therefore, the equation to predict how many hours, x, the second part of the trip will take is:

x = (total distance - distance traveled in the first part) / average speed

x = (125 - 75) / 50

x = 1

This means that the second part of the trip will take 1 hour to complete after the bus stops to refuel.

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AB and AC are equal in length and are represented by x, while BC (the hypotenuse) is √2 times the length of either leg.

We have,

The given triangle is an isosceles triangle.

So,

The angles opposite to the equal sides are equal.

The other angle = 90

Now,

The sum of the triangle = 180

So,

90 + 2x = 180

2x = 180 - 90

2x = 90

x = 45

Now,

In a right triangle with ∠A = 90 degrees, ∠B = 45 degrees, and ∠C = 45 degrees, we have a special case known as a 45-45-90 triangle.

In a 45-45-90 triangle, the sides are in a specific ratio: 1 : 1 : √2.

Let's use this ratio to find the lengths of the sides:

Since AB = AC, let's denote both lengths as x.

AB = AC = x

BC is the hypotenuse, which is √2 times the length of either leg:

BC = √2x

So, the lengths of the sides are:

AB = AC = x

BC = √2 * x

Therefore,

AB and AC are equal in length and are represented by x, while BC (the hypotenuse) is √2 times the length of either leg.

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Answer:

-5/2

Step-by-step explanation:

-7-3/10-6 = -10/4 which equals -5/2

Answer:

  (c)  the converse of the original conditional statement

Step-by-step explanation:

If a conditional statement is described by p→q, you want to know what is represented by q→p.

For the conditional p→q, the variations are ...

As you can see from this list, ...

  the converse of the original conditional statement is represented by q→p, matching choice C.

__

Additional comment

If the conditional statement is true, the contrapositive is always true. The inverse and converse may or may not be true.

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The expression which is equivalent to -10 is the option b, -3 - 7.

Explanation:

We can use subtraction and addition of integers to get the value of the given expression. We can write the given expression as;

-3 - 7 = -10 (-3 - 7)

The addition of two negative integers will always give a negative integer. When we subtract a larger negative integer from a smaller negative integer, we will get a negative integer.

If we add -3 and -7 we will get -10. This makes the option b the correct answer.

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Answer:

155.52 and the rounded version is 156

Step-by-step explanation:

Answer:

155.52 and the rounded version is 156

Answer:

7,9,and 11

Step-by-step explanation:

a) The odds of surviving is 1/4

b) The odds of not surviving is 4.

c) You would receive a payout of $6.25 if you bet $25 on surviving and you successfully survive the zombie apocalypse.

a) The odds of surviving the zombie apocalypse can be calculated by taking the probability of survival (20%) and dividing it by the probability of not surviving

100% - 20% = 80%

So the odds of surviving would be,

20%/80% = 1/4

This means that for every one chance of surviving, there are four chances of not surviving.

b) The odds of not surviving the zombie apocalypse can be calculated by taking the probability of not surviving (80%) and dividing it by the probability of survival (20%).

So the odds of not surviving would be

80%/20% = 4/1

This means that for every four chances of not surviving, there is one chance of surviving.

c) If you bet $25 on surviving and you do survive, based on the odds of 1/4, you would win the bet. The payout can be calculated by multiplying the bet amount by the odds of surviving.

So the payout would be

$25 * 1/4 = $6.25

Therefore, based on the odds, you would receive a payout of $6.25 if you bet $25 on surviving and you successfully survive the zombie apocalypse.

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The volume of a rectangular prism with a length of 12 inches, width of 10 inches, and height of 2.5 inches is 300 cubic inches

Volume of a rectangular prism = length × width × height

= (12 × 10 × 2.5) inches

= 300 inches

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Answer:

c/sin(60°) = 14/sin(25°)

c = 14sin(60°)/sin(25°) = 28.7

Therefore , the solution of the given problem of standard deviation comes out to be the CEO is informed that the mean scores for Cities A and B are identical.

Variance is a measure of difference used in statistics. The typical variance here between dataset and the mean is calculated using the multiplier of that figure. By comparing each figure to the mean, it incorporates those data points into its calculations, unlike other measurable measures of variability. Variations may result from internal or external factors and may include unintentional errors, inflated expectations, and changing economic or commercial circumstances.

Here,

It is clear that both offices share a comparable average score from the sentence "The CEO is informed that both City A or City B have the same mean score."

If City A is more reliable than City B, then City A will have a lower standard deviation.

A collection of data's variability or dispersion is measured by the standard deviation. The closer the data points are to the mean, the lower the standard deviation, and the less variable the data are.

So, the appropriate answer is:

The CEO is informed that the mean scores for Cities A and B are identical. However, due to the fact that City A's standard deviation is lower than City B's, City A is more reliable than City B.

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Answer:y=4/3x-18/3

Step-by-step explanation:

4x-3y=18

3y=4x-18

y=4/3x-18/3

Answer:

Hi, there your answer is     \(y=\frac{4}{3} x -6\)

Step-by-step explanation:

Let's solve for y.

8x−6y=36

Step 1: Add -8x to both sides.

8x−6y+−8x=36+−8x

−6y=−8x+36

Step 2: Divide both sides by -6.

\(\frac{-6y}{-6} =\frac{-8x+36}{-6}\)

\(y=\frac{4}{3} x-6\)

Hope This Helps :)

Answer:

$2.2

Step-by-step explanation:

so first you divide 250 by 67.50 whatever that is is the answer

the data provide convincing evidence of a difference in the proportions of teens and young adults who own an iPod or MP3

To determine if there is convincing evidence of a difference in the proportions of all teens and young adults who own an iPod or MP3 player, we can perform a hypothesis test.

Let's define the following parameters:

- p₁: Proportion of all teens who own an iPod or MP3 player.

- p₂: Proportion of all young adults who own an iPod or MP3 player.

The null hypothesis (H₀) assumes that there is no difference between the proportions:

H₀: p₁ = p₂

The alternative hypothesis (H₁) assumes that there is a difference between the proportions:

H₁: p₁ ≠ p₂

To test this hypothesis, we can use a two-proportion z-test. We calculate the test statistic using the formula:

z = ((p₁ - p₂) - 0) / √((\(\hat{p}_1\) * (1 - \(\hat{p}_1\)) / n₁) + (\(\hat{p}_2\) * (1 - \(\hat{p}_2\)) / n₂))

Where:

- \(\hat{p}_1\): Sample proportion of teens who own an iPod or MP3 player (79% or 0.79)

- \(\hat{p}_2\): Sample proportion of young adults who own an iPod or MP3 player (67% or 0.67)

- n₁: Sample size of teens (800)

- n₂: Sample size of young adults (400)

Using the given values, we can calculate the test statistic:

z = ((0.79 - 0.67) - 0) / √((0.79 * (1 - 0.79) / 800) + (0.67 * (1 - 0.67) / 400))

Calculating this yields the test statistic z = 5.525.

Next, we can determine the critical value or p-value associated with this test statistic using a significance level (α). Assuming a significance level of 0.05, for a two-tailed test, the critical values are approximately -1.96 and 1.96.

Since the calculated test statistic (5.525) is beyond the critical values of -1.96 and 1.96, we can reject the null hypothesis. There is convincing evidence to suggest that there is a difference in the proportions of all teens and young adults who own an iPod or MP3 player.

In conclusion, the data provide convincing evidence of a difference in the proportions of teens and young adults who own an iPod or MP3 player.

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The appropriate hypotheses for testing the difference in proportions of all teens and young adults who own an iPod or MP3 player are:

Null Hypothesis (H0): The proportion of teens who own an iPod or MP3 player is equal to the proportion of young adults who own an iPod or MP3 player.

Alternative Hypothesis (Ha): The proportion of teens who own an iPod or MP3 player is not equal to the proportion of young adults who own an iPod or MP3 player.

To test if there is a significant difference in the proportions of all teens and young adults who own an iPod or MP3 player, we need to set up appropriate hypotheses. Let's denote the proportion of teens who own an iPod or MP3 player as p1 and the proportion of young adults who own an iPod or MP3 player as p2.

The null hypothesis (H0) assumes that there is no difference between the proportions, so we can state it as:

H0: p1 = p2

The alternative hypothesis (Ha) assumes that there is a difference between the proportions, so we can state it as:

Ha: p1 ≠ p2

Here, p1 represents the true proportion of teens who own an iPod or MP3 player, and p2 represents the true proportion of young adults who own an iPod or MP3 player.

To test these hypotheses, we can use a significance level (α) of 0.05, which is a common choice in hypothesis testing. If the p-value (the probability of observing a test statistic as extreme as the one calculated) is less than 0.05, we reject the null hypothesis and conclude that there is a significant difference in the proportions.

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Answer:

it's B, C, and D

Step-by-step explanation:

A. w ⋅ 462 = 16 1/2

not A

w * a ≠ l

B. 16 1/2 ⋅ w = 462

is B

l * w = a

C. 462 ÷ 16 1/2 = w

is C

a / l = w

D. 462 ÷ w = 16 1/2

is D

a / w = l

E. 16 1/2 ⋅ 462 = w

not E

l * a ≠ w

a. There are 2 cycles in the graph.
b. The period of the graph is 360 degrees.
c. The amplitude of the graph is 2.


a. To determine the number of cycles in the graph, we need to count the number of complete repetitions of the pattern. In this case, there are 2 complete repetitions, so there are 2 cycles.

b. The period of a sine graph is the distance it takes to complete one full cycle. In this graph, one full cycle is completed in 360 degrees, so the period is 360 degrees.

c. The amplitude of a sine graph is the distance from the midline to the maximum or minimum point of the graph. In this case, the amplitude is 2 units. y = 2 sin θ.

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Based on the survey results, a typical parent would spend around $44 on their child's birthday gift, with a margin of error of approximately $2.9 at a 99% confidence level.

To estimate how much a typical parent would spend on their child's birthday gift, we use the sample mean and standard deviation as estimates of the population parameters. The sample mean of $44 serves as the point estimate for the population mean.

To determine the margin of error, we use the standard error, which is the standard deviation divided by the square root of the sample size. In this case, the standard error is approximately $2.5 (standard deviation of $10 divided by the square root of 20). Multiplying the standard error by the critical value corresponding to a 99% confidence level (z-value of 2.58 for a large sample size) gives us the margin of error.

Therefore, the typical amount spent on a child's birthday gift is estimated to be $44, with a margin of error of approximately $2.9. This means that we can be 99% confident that the true mean amount spent by parents falls within the range of $41.1 to $46.9.

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Answer:

x=-4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solving systems of equations gives the points of intersection when the equations are graphed.

The answer is 3.

Answer:

angle OAM and OBM are right angles because tangents form right angles with radii.

AO=BO and MA=MB

Quadrilateral MAOB =360 degrees

so angles AOB and AMB=90 degrees each

angle MBF=90 degrees

M is the midpoint of FA so MA=MF

MB=MF

Triangle MBF is a right triangle because angle BMF is 90 degrees and  MB=MF

The probability of an event {a or b} is 0.7

Probability: It is the branch of mathematics concerning numerical, descriptions of how likely an event is to occur or how likely it is that a proposition is true. the probability of an event is a number between

0 and 1.

if the two events a and b are mutually exclusive then the addition rule of probability is:

P( a or b) = P(a) + P(b) - P(a∩ b)

Given that,

P(a) = 0.6                    P(b) = 0.5

               P(a ∩ b)= 0.4

According to probability methods, if two events are mutually exclusive, then the probability of either occurring is denoted as P (a ∪ b).

Now, we know that,

P( a ∪ b) = P(a) + P(b) - P( a ∩ b)

              = 0.6 + 0.5 - 0.4

              = 0.7

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The conversion of the following units are done below.

Conversion means to convert the same thing into different units.

We know the following unit's conversion.

1 km = 0.62 miles

6 km = 3.72 miles

    1 L = 0.26 gallons

2.5 L = 0.65 gallons

  1 lb = 0.45 kg

90 lb = 40.5 kg

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