jessica and jordan are selling fruit for a school fundraiser. customers can buy small boxes of oranges and large boxes of oranges. jordan sold 3 small boxes of oranges and 14 large boxes of oranges for a total of 203. jessica sold 11 small boxes of oranges and 11 large boxes of oranges for a total of 220. find the cost each of one small box of oranges and one large box of oranges

Answer: The measure of angle FHG = 42 degrees. This is the same as the arc length.

The measure of angle FEG = 21 degrees. This is half the value of the arc length.

Step-by-step explanation:

If a circle has center M and arc KL is 126 degrees then ∠KJL is 126 degrees and ∠KJL is 63 degrees

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Central angle is same as intercepted arc.

∠KJL = m(arc KL0

∠KJL =126 degrees

Inscribed angle  is equal to half of the intercepted arc.

To find inscribed angle , we divide the intercepted arc by 2.

∠KJL = 1/2(arc KL)

=1/2(126)

=63 degrees

Hence, if a circle has center M and arc KL is 126 degrees then ∠KJL is 126 degrees and ∠KJL is 63 degrees

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Answer:

7

Step-by-step explanation:

13 / 17 = y / 10

13 x 10 = y x 17

130 = 17y

y = 130 / 17

y = 7.12

7.12 in nearest tenth is approximately 7.

The value of y, rounded to the nearest tenth, is approximately 7.6.

To solve the proportion (13/17) = (y/10) for y, we can cross-multiply and then solve for y.

Cross-multiplying:

13 * 10 = 17 * y

130 = 17y

To isolate y, we divide both sides of the equation by 17:

y = 130/17

Calculating the value:

y ≈ 7.6 (rounded to the nearest tenth)

Therefore, y is approximately 7.6 when solving the given proportion.

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Answer:

Step-by-step explanation:

The red line appears to be a good fit for the data because it passes through the center of the data points and follows the general trend of the points reasonably well. It appears to have a positive slope, indicating a positive correlation between the variables represented on the x-axis and y-axis.

Additionally, the red line appears to minimize the overall distance between the data points and the line, which is a common method for determining the line of best fit. This method is often referred to as the least-squares method, and it involves finding the line that minimizes the sum of the squared vertical distances between the data points and the line.

Answer:

Option (3) and Option (5)

Step-by-step explanation:

By the property of a triangle,

Sum of interior angles of a triangle is 180°.

m∠Q + m∠R + m∠S = 180°

By substituting the measures of angles in the equation,

(8x - 17)° + (19x + 4)° + (5x + 1)° = 180°

32x - 12 = 180

32x = 192

x = 6

m∠Q = (8x - 17)° = 48 - 17

                          = 31°

m∠R = (19x + 4)° = 114 + 4

                           = 118°

m∠S = (5x + 1) = 30 + 1

                       = 31°

Since, one interior angle measures 118° which is grater than 90°.

Therefore, triangle QRS is an obtuse triangle.

Since, m∠Q = m∠R = 31°

It's an isosceles triangle.

Option (3) and Option (5) are the correct options.

After any particular a, the next a in the sequence must appear exactly 2 or 3 positions down the line. In this case, we start at position b and end at position 19. answer is 65

i.e. we move a total of 18 positions down the line. Therefore, we must add a series of c's and d's to get 18. There are several ways to do this:

Case 1: nine c's - there is only 1 way to arrange them.

Case 2: two d's and six c's - there are 28 ways to arrange them.

Case 3: four d's and three c's - there are 35 ways to arrange them.

Case 4: six c's - there is only 1 way to arrange them.

Summing the four cases gives 1+28+35+1 = 65

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a) The probability that a tire will be too narrow is 0.252492. b)The probability that a tire will be too wide is 0.091211. c) , the probability that a tire will be defective is 0.252492 + 0.091211 = 0.343703.

a. To calculate the probability that a tire will be too narrow, we need to find the area under the normal distribution curve that falls below the lower specification limit.

Using the Z-score formula, we calculate the Z-score for the lower specification limit as follows:

Z = (Lower specification limit - Mean) / Standard deviation

Z = (22.8 - 23) / 0.15

Z = -0.666667

Next, we find the corresponding area from the standard normal distribution table or using a calculator. The area to the left of Z = -0.666667 is approximately 0.252492.

b. To calculate the probability that a tire will be too wide, we need to find the area under the normal distribution curve that falls above the upper specification limit.

Using the Z-score formula, we calculate the Z-score for the upper specification limit as follows:

Z = (Upper specification limit - Mean) / Standard deviation

Z = (23.2 - 23) / 0.15

Z = 1.333333

Next, we find the corresponding area from the standard normal distribution table or using a calculator. The area to the right of Z = 1.333333 is approximately 0.091211.

c. The probability that a tire will be defective is the sum of the probabilities of it being too narrow and too wide, since being outside the specification limits indicates a defect.

Therefore, the probability that a tire will be defective is approximately 0.252492 + 0.091211 = 0.343703.

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The solution set of the inequality x - 2 × + 3 > 0 is (-Infinity,3) U (-2,infinity).

What is inequality?

An inequality is a mathematical statement that represents a relationship between two values that are not equal. It uses symbols such as < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to), to describe the relationship between the values.

Isolate the variable x:

x - 2 × + 3 > 0

x - 2 × + 3 - 3 > 0 - 3

x - 2 × > -3

Divide both sides by -2 and reverse the inequality sign:

(x - 2 ×)/(-2) < (-3)/(-2)

x - 2 × < 3

x > 2 × + 3

Test values of x to see which ones make the inequality true:

If x is less than -2, the inequality is false.

If x is between -2 and 3, the inequality is true.

If x is greater than 3, the inequality is false.

So the solution set of the inequality x - 2 × + 3 > 0 is (-Infinity,3) U (-2,infinity).

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We have 95% confidence in our interval, instead of 100%.because we need to account for the fact that a) the sample may not be truly random.

Strictly speaking, a 95% confidence interval means that if we were to take 100 different samples and calculate a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the true mean (μ). In practice, however, we take one random sample and generate one confidence interval, which may or may not contain the true mean. The observed interval may overestimate or underestimate μ. Consequently, the 95% CI is the likely range of the true, unknown parameter. A confidence interval does not reflect the variability in the unknown parameter. Rather, it reflects the amount of random error in the sample and provides a range of values ​​that are likely to include the unknown parameter. Another way of thinking about a confidence interval is that it is a range of possible values ​​of a parameter (defined as a point estimate + margin of error) with a specified confidence level (which is similar to a probability).

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Answer:

5/12

Since demoninators aren't the same we have to find a number that both numbers can divide into, which will be 84

5/84 & 4/84

Now whatever we do to the top we do to the bottom and so on. So how many times did it take those numbers to reach 84?

5/12 took 7 times to reach 84 so it will now be 5x7 like how we times 12 7 times to reach 84: 35/84

It took a shorter time for 4/21 to reach 84 as it only took 4 times so we times 4 by 4 and we get 16/84

Now let's compare: 16/84 or 35/84? We can see the bigger one is the second one, which was originally 5/12 and that's how you get the answer!

Hoped that helped

Answer:

5/12

Step-by-step explanation:

a ) 5/12

= 5/12 times 100% = 125/3 = 42 % rounded of to the nearest whole number

= 42 %

b ) 4/21

= 4/21 times 100% = 400/21 = 19 % rounded of to the nearest whole number

= 19 %

Answer:

Can not be determined  

Step-by-step explanation:

All of them are integers.

Answer:

if it's parallel isn't the slope the same?

Answer:

Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A=12bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.

Step-by-step explanation:

Jay's new balance if he made one transaction of $ 128, given the credit card balance is

To find the new balance, you first need to find the interest on the old balance by the formula :

= 3, 390.88 x 18. 6 % / 12 months per year

= $ 52. 56

Jay's new balance is :

= Old balance + Interest + New transaction

= 3, 390. 88 + 52. 56 + 128

= $ 3, 571. 44

The new credit card balance is $ 3, 571. 44.

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Answer:

Subtract 6 from both sides

Step-by-step explanation:

The direction of vector D is perpendicular to vector A, and it makes an angle of 90 degrees with vector A.

We are given that:

vector A + vector B = vector C

vector A - vector B = vector D

To find the direction of vector C,

we can use the fact that the tangent of the angle between vector A and vector C is equal to the ratio of their magnitudes.

That is:

tan(theta) = |vector C| / |vector A|

where theta is the angle between vector A and vector C.

Similarly, to find the direction of vector D,

we can use the fact that the tangent of the angle between vector A and vector D is equal to the ratio of their magnitudes.

That is:

tan(phi) = |vector D| / |vector A|

where phi is the angle between vector A and vector D.

We want to find the angle between vector A and vector D, which is equal to the supplement of the angle between vector A and vector C.

That is:

theta + phi = 180 degrees

Rearranging, we get:

phi = 180 degrees - theta

Substituting the equations for theta and phi, we get:

tan(180 degrees - phi) = |vector D| / |vector A| = tan(phi)

Simplifying, we get:

tan(180 degrees - phi) = tan(phi)

Using the identity tan(180 degrees - theta) = -tan(theta), we can rewrite this as:

-tan(phi) = tan(phi)

Solving for phi, we get:

2*phi = 180 degrees

phi = 90 degrees

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Complete question may be:

If, vector A + vector B = vector Cvector A - vector B = vector D, then find the direction of vector D is perpendicular to vector A?

The value of the number expression 42 divided by (15-2 to the 3rd power) or  42 ÷ (15 - 2³) is 6.

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is given that:

42 divided by (15-2 to the 3rd power)

Mathematically,

= 42 ÷ (15 - 2³)

After applying the properties of integer exponent:

= 42 ÷ (15 - 8)

Because 2³ = 8

= 42 ÷ 7

After dividing

= 6

Thus, the value of the number expression 42 divided by (15-2 to the 3rd power) or  42 ÷ (15 - 2³) is 6.

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Answer:

Step-by-step explanation:

Surface area of a triangular prism

Height = 8cm

12cm

10cm

This given as:

S.A = B + Ph

Answer:

20

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

1 3/4 = 7/4

36/(7/4) = 36 x 4/7 = 20.5 or 20

Answer:

The answer is $6216.66

Step-by-step explanation:

(8*40)+6%*×=$692; 320 + 0.6x = 692; .6×=692-320; 0.6x=373; ×=373÷.6;

x=6216.66

Total earnings= $692

Total hours worked = 40 hours

Earnings per hour = $8

Total hourly earnings = Total hours worked × Earnings per hour

= 40 hours × $8

= $320

Commission earnings = Total earnings - Total hourly earnings

= $692 - $320

= $372

Total amount of her sales for the week = x

6% of x = $372

0.06 × x = 372

0.06x = 372

x = 372 / 0.06

x = $6,200

Therefore, her total amount of her sales for the week is $6,200

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The value of probability P(A ∩ B) = 3/10 = 0.3.

Probability is a measure of the likelihood of a particular event occurring. It is expressed as a number between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that an event is certain to occur.

Probability is used in many fields such as statistics, finance, economics, and science to make predictions and decisions based on uncertain information

Event A is drawing an odd card, which means that the odds are 5/10 or 1/2.

Event B is drawing a four or higher, which means that the odds are 7/10.

Event A ∩ B means that we are interested in the probability of drawing an odd card and drawing a card of four or higher at the same time. There are 3 cards that are both odd and four or higher, which are 5,7, and 9. So the probability of drawing one of these cards is 3/10.

Therefore, The value of probability P(A ∩ B) = 3/10 = 0.3.

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The percent of slope if there is a rise of 72 metres in 600 metres is given as follows:

12%.

The percent of slope is obtained applying the proportions in the context of this problem.

A proportion is applied because the percent of slope is given by the division of the vertical rise by the horizontal movement, multiplied by 100%.

The parameters for this problem are given as follows:

Hence the percent of slope is obtained as follows:

72/600 x 100 = 12%.

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Answer:

Find the slope by putting your rise over your run. Make sure to label your points.

Step-by-step explanation:

Answer:

≈ 33.3 cm²

Step-by-step explanation:

Given the linear ratio of 2 similar cones = a : b , then

ratio of their areas = a² : b²

Here the ratio of radii = 2 : 3 , thus

ratio of areas = 2² : 3² = 4 : 9

let x be the area of the smaller cone then by proportion

\(\frac{4}{x}\) = \(\frac{9}{75}\) ( cross- multiply )

9x = 300 ( divide both sides by 9 )

x = 33.33333

Thus

surface area of smaller cone ≈ 33.3 cm² ( nearest tenth )

(a) ( x_{t+1}=\frac{1}{2} x_{t}+3 ), the solution to this difference equation is x_t = 2^t + 3, The difference equations in this problem are both linear difference equations with constant coefficients.

This can be found by solving the equation recursively. For example, the first few terms of the solution are

t | x_t

--- | ---

0 | 3

1 | 7

2 | 15

3 | 31

The general term of the solution can be found by noting that

x_{t+1} = \frac{1}{2} x_t + 3 = \frac{1}{2} (2^t + 3) + 3 = 2^t + 3

(b) ( x_{t+1}=-3 x_{t}+4 )

The solution to this difference equation is

x_t = 4 \cdot \left( \frac{1}{3} \right)^t + 4

This can be found by solving the equation recursively. For example, the first few terms of the solution are

t | x_t

--- | ---

0 | 4

1 | 5

2 | 2

3 | 1

The general term of the solution can be found by noting that

x_{t+1} = -3 x_t + 4 = -3 \left( 4 \cdot \left( \frac{1}{3} \right)^t + 4 \right) + 4 = 4 \cdot \left( \frac{1}{3} \right)^t + 4

The difference equations in this problem are both linear difference equations with constant coefficients. This means that they can be solved using a technique called back substitution.

Back substitution involves solving the equation recursively, starting with the last term and working backwards to the first term.

In the first problem, the equation can be solved recursively as follows:

x_{t+1} = \frac{1}{2} x_t + 3

x_t = \frac{1}{2} x_{t-1} + 3

x_{t-1} = \frac{1}{2} x_{t-2} + 3

...

x_0 = \frac{1}{2} x_{-1} + 3

The general term of the solution can be found by noting that

x_{t+1} = \frac{1}{2} x_t + 3 = \frac{1}{2} (2^t + 3) + 3 = 2^t + 3

The second problem can be solved recursively as follows:

x_{t+1} = -3 x_t + 4

x_t = -3 x_{t-1} + 4

x_{t-1} = -3 x_{t-2} + 4

...

x_0 = -3 x_{-1} + 4

The general term of the solution can be found by noting that

x_{t+1} = -3 x_t + 4 = -3 \left( 4 \cdot \left( \frac{1}{3} \right)^t + 4 \right) + 4 = 4 \cdot \left( \frac{1}{3} \right)^t + 4

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Let's assume there are 100 employees in the company.

Given information:

60% of the employees are women, which means there are 60 women in the company.

75% of the women earn 20000 or more, which means 75% of 60, i.e., 45 women earn 20000 or more.

The total number of employees who earn more than 20000 per month is 60% of the total employees, which means 60% of 100, i.e., 60 employees earn more than 20000.

Now, let's find the number of men in the company. Since the total number of employees is 100 and 60 of them are women, the remaining 100 - 60 = 40 employees must be men.

To calculate the fraction of men who earn less than 20000 per month, we need to find the number of men who earn less than 20000. We can subtract the number of men who earn more than 20000 from the total number of men.

Total men = 40

Men who earn more than 20000 = 60 - 45 = 15

Men who earn less than 20000 = Total men - Men who earn more than 20000

= 40 - 15

= 25

Therefore, the fraction of men who earn less than 20000 per month is 25/40, which simplifies to 5/8.

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Answer:

a and c

Step-by-step explanation:

Answer:

B, D and F
Step-by-step explanation:

Answer:

9:20

Step-by-step explanation:

9 males

11 + 9 total people

9 : 20

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

I don't really know about this sorry sorry

Answer:

✨ B

Step-by-step explanation:

✨Hope this helps✨