find the difference between 7⅖ and 2⅝​

Answer:

3

Step-by-step explanation:

14.50 + 13.00 = 27.50

27.50 x 3 = 82.50

Answer:

6

Step-by-step explanation:

\color{red}{14.5}x+\color{blue}{13}=

14.5x+13=

\,\,\color{purple}{100}

100

-\color{blue}{13}\phantom{=}

−13=

\,\,-\color{blue}{13}

−13

Subtract 13 from both sides

\color{red}{14.5}x=

14.5x=

\,\,87

87

\frac{\color{red}{14.5}x}{\color{red}{14.5}}=

14.5

14.5x

​

=

\,\,\frac{87}{\color{red}{14.5}}

14.5

87

​

Divide both sides by 14.5

x=

x=

\,\,\boxed{6}

6

​

\text{6 people can go to the amusement park.}

6 people can go to the amusement park.

Answer:

-22x+33

Step-by-step explanation:

Answer:

The answer is no this number is not rational.

Step-by-step explanation:

Because, To show that the rational numbers are dense:

It cannot be expressed as a fraction with integer values in the numerator and denominator. When an irrational number is expressed in decimal form, it goes on forever without repeating.

Answer: I = $ 154.53

Step-by-step explanation:

First, converting R percent to r a decimal, r = R/100 = 4.5%/100 = 0.045 per year, then, solving our equation.

I = 572.34 × 0.045 × 6

I = 572.34 × 0.27

I = 154.5318

I ≈ $154.53

The simple interest accumulated on a principle of $572.34 at a rate of 4.5% per year, for 6 years is $154.53.

Hope this helps

Answer:

392 liters of synthetic oil is needed

Cube root3 / cube root7

Combine same powers:

Cube root (3/7)

Rationalize:

Cube root3 x 7^(2/3) /7

Simplify:

Cuberoot(147) / 7

Answer:

³√147/7

Step-by-step explanation:

³√3/³√7

~Apply radical rules

³√3/7

~Rationalize

³√147/7

Best of Luck!

Answer:

0.0418 = 4.18% probability that the average income level in the neighborhoods was less than $38,000.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Jean knows that the mean income level in the country is $40,000, with a standard deviation of $2,000.

This means that \(\mu = 40000, \sigma = 2000\)

Jean selected three neighborhoods and determined the average income level.

This means that \(n = 3, s = \frac{2000}{\sqrt{3}} = 1154.7\)

What is the probability that the average income level in the neighborhoods was less than $38,000

This is the pvalue of Z when X = 38000. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{38000 - 40000}{1154.7}\)

\(Z = -1.73\)

\(Z = -1.73\) has a pvalue of 0.0418

0.0418 = 4.18% probability that the average income level in the neighborhoods was less than $38,000.

Answer:

3(6 + 52)

Step-by-step explanation:

3(60 +20) = 3(80) ❌

3(6+2) = 3(8) ❌

3(6+56)  = 2(62) ✅

Answer:

arcPSU = 224degrees

Step-by-step explanation:

From the given diagram;

arcPSU = arcPQ + arcQR + arcRS + arcST + arcTU

Given

arcPQ = arcTU

arcQR = arcRS = 37

arcAST = 90

Since 136 + arcPQ + 37+37+90+arcTU = 360

136+2arcPQ+ 37+37+90= 360

2arcPQ+300 = 360

2arcPQ = 360 - 300

2arcPQ = 60

arcPQ = 60/2

arcPQ = 30degrees

Substitute into the above expression

arcPSU = arcPQ + arcQR + arcRS + arcST + arcTU

arcPSU = 360 - arcPU

arcPSU = 360 - 136

arcPSU = 224degrees

Answer:

Its closer to 1/2

Step-by-step explanation:

Hope this helps! Plz give brainliest.

A linear graph represents a proportional relationship include the following: C. A graph of a straight line that passes through the points 0 comma negative 4 and 1 comma negative 4.

In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate respectively.

Generally speaking, the graph of any proportional relationship is always characterized by a straight line with the data points starting from the origin (0, 0) and passes through other unique data points on the cartesian coordinate.

In this scenario, a graph of a straight line that passes through the data points (0, -4) and (1, -4) represents a proportional relationship because it would go through the origin (0, 0).

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A linear graph represents a proportional relationship include the following: C. A graph of a straight line that passes through the points 0 comma negative 4 and 1 comma negative 4.

What is a graph?

In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate respectively.

Generally speaking, the graph of any proportional relationship is always characterized by a straight line with the data points starting from the origin (0, 0) and passes through other unique data points on the cartesian coordinate.

In this scenario, a graph of a straight line that passes through the data points (0, -4) and (1, -4) represents a proportional relationship because it would go through the origin (0, 0).

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Answer:

Yes

Step-by-step explanation:

A dollar = 100 cents

1 cent : 100 cents

= 1/100

= 0.01

Answer:

Step-by-step explanation:

sum of angles in a triangle=180º

90+60x+30x=180

90+90x=180

90(1+x)=180

1+x=2

x=1

angle A=30º

Answer:

cool

Step-by-step explanation:

pooop

Answer:

(2,-3)

Step-by-step explanation:

(-2 , -5) 4 units down → (-2, -9)

(-2, -9) reflected across y-axis → (2, -9)

The rule for a reflection over the y -axis is (x, y) → (−x, y)

(2, -9) 6 units up → (2, -3)

Given:

To find the factorization of the graph,

By factorization, we get

Hence option a) is the correct answer.

Answer:

If lengths AD and DC are congruent and they share another length which is D then they have to be congruent

Step-by-step explanation:

There were 18 time trials recorded during the experiment.

To determine the number of time trials recorded during the experiment, we count the total number of dots on the dot plot.

According to the given information, we have:

- Two dots over 15

- Three dots over 17

- Two dots over 19

- Two dots over 20

- One dot over 21

- Four dots over 23

- One dot over 24

- Three dots over 25

By adding up these counts, we get:

2 + 3 + 2 + 2 + 1 + 4 + 1 + 3 = 18

Therefore, there were 18 time trials recorded during the experiment.

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According to the information we can infer that the parallel line would be AD or CF. Additionally, the perpendicular lines would be CB or FE.

To identify the parallel lines we must look at the figure and find the lines that have the same direction as the line BE and that would never intersect with the segment BE, according to the above, we can infer that the parallel lines would be:

On the other hand, the lines perpendicular to CF would be CB or FE because they make 90° angles with segment CF. Additionally, the face that would be parallel to ABC is DEF.

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Using the Venn diagram, each set and the number of elements in each set are:

a. U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12}

b. A = {1, 3, 4, 5, 6, 8}

c. B = {4, 5, 6, 7, 9, 11}

d. C = {6, 8, 9, 12}

e. A ∪ B = {1, 3, 4, 5, 6, 7, 8, 9, 11}

f. A ∩ B = {4, 5, 6}

A Venn diagram is a pictorial representation used to visualize the relationships between different sets of objects or concepts.

a.) U is the universal set. This implies it contains all the elements in the set. Thus:

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12}

b.) A is all element (number) is set A (circle A). Thus:

A = {1, 3, 4, 5, 6, 8}

c.) B is all element is set B (circle B). Thus:

B = {4, 5, 6, 7, 9, 11}

d.) C is all element is set C (circle C). Thus:

C = {6, 8, 9, 12}

e.) A ∪ B is all element is sets A and B (circles A and B). Thus:

A ∪ B = {1, 3, 4, 5, 6, 7, 8, 9, 11}

f.) A ∩ B is all element is sets A and B (circles A and B) have in common. Thus:

A ∩ B = {4, 5, 6}

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The compound inequality that represents the range of the actual weight of the object is 125.4 ≤ w ≤ 126.2.

Part A: The absolute value inequality that describes the range of the actual weight of the object is:

|w - 125.8| ≤ 0.4

Part B: To solve the absolute value inequality, we can break it down into two separate inequalities:

w - 125.8 ≤ 0.4 and - (w - 125.8) ≤ 0.4

Solving the first inequality:

w - 125.8 ≤ 0.4

Add 125.8 to both sides:

w ≤ 126.2

Solving the second inequality:

-(w - 125.8) ≤ 0.4

Multiply by -1 and distribute the negative sign:

-w + 125.8 ≤ 0.4

Subtract 125.8 from both sides:

-w ≤ -125.4

Divide by -1 (note that the inequality direction flips):

w ≥ 125.4

Combining the solutions, we have:

125.4 ≤ w ≤ 126.2

The object is 125.4 ≤ w ≤ 126.2.

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Answer:

The answer is s / s + 3

Step-by-step explanation:

I applied the fraction rule a/b divided by c/d = a/b times c/d

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The surface area of the cylindrical pottery vase is 177.55 in².

Given that a cylindrical pottery vase has a diameter of 4.3 inches and a height of 11 inches, we need to find the surface area of the vase,

SA of a cylinder = 2π×radius(h+r)

= 2×3.14×2.15(2.15+11)

= 177.55 in²

Hence, the surface area of the cylindrical pottery vase is 177.55 in².

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Answer:

P-value is lesser in the case when n = 500.

Step-by-step explanation:

The formula for z-test statistic can be written as

\(z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } } =\frac{(x-\mu)\sqrt{n}}{\sigma}\)

here, μ = mean

σ= standard deviation, n= sample size, x= variable.

From the relation we can clearly observe that n is directly proportional to test statistic. Thus, as the value of n increases the corresponding test statistic value also increases.

We can also observe that as the test statistic's numerical value increases it is more likely to go into rejection region or in other words its P-value decreases.

Now, for  first case when our n is 50 we will have a relatively low chance of accurately representing the population compared to the case when n= 500. Therefore,  the P-value will be lesser in the case when n = 500.

Answer:

0.098-0.607-0.78-4.003-5.6

Step-by-step explanation:

The numbers in orders that starting with the smallest should be considered as the 0.098-0.607-0.78-4.003-5.6.

Since the list of the number should be like

0.78

0.607

5.6

0.098

4.003

So here we sequence the numbers from the smallest to the largest

So it should be like 0.098-0.607-0.78-4.003-5.6.

Hence, The numbers in orders that starting with the smallest should be considered as the 0.098-0.607-0.78-4.003-5.6.

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Answer:

I think its C

Step-by-step explanation:

Therefore, the correct statement is:" D corresponds to E." that is option B.

A rectangle is a four-sided flat shape with four right angles (90-degree angles) between its sides. It is a type of parallelogram that has two pairs of opposite sides that are parallel and congruent (equal in length), and all four angles are right angles. In a rectangle, the opposite sides are equal in length, which means that the width (or height) of the rectangle is the same throughout. The length of a rectangle is the longer side, while the width (or height) is the shorter side. The perimeter of a rectangle is the sum of the lengths of all its sides, while the area is the product of its length and width. These formulas are often used to calculate the dimensions of a rectangle or to solve problems related to its area or perimeter. Rectangles are used in many applications such as architecture, engineering, mathematics, and art, and they are commonly found in everyday objects such as books, windows, doors, and computer screens.

Here,

In a translation, every point on the preimage (the original figure) moves the same distance and in the same direction to become a point on the image (the translated figure).

To determine which statement is true, we can look at the corresponding vertices of the rectangle ABCD and its image EFGH.

A corresponds to E, B corresponds to F, C corresponds to G, and D corresponds to H.

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