Jamal plans to save
for a new scooter that
costs $48.00. The
sales tax rate is 5%.
How much will Jamal
need to save?

The given statement "the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring." is False.

The union of two events A and B represents the event that at least one of the events A or B occurs. The probability of the union of two events can be calculated using the formula:

P(A or B) = P(A) + P(B) - P(A and B)

On the other hand, the intersection of two events A and B represents the event that both events A and B occur. The probability of the intersection of two events can be calculated using the formula:

P(A and B) = P(A) * P(B|A)

where P(B|A) is the conditional probability of B given that A has occurred.

It is possible for the probability of the union of two events to be greater than the probability of the intersection of two events if the two events are not mutually exclusive.

In this case, the probability of both events occurring together (the intersection) may be relatively small, while the probability of at least one of the events occurring (the union) may be relatively high.

In summary, the probability of the union of two events occurring can sometimes be greater than the probability of the intersection of two events occurring, depending on the relationship between the events.

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Answer:

2x^2+0x+1

Step-by-step explanation:

give brainlist pls

Answer:

1) 30%, 50%, 10%

2) x = 24

Step-by-step explanation:

Hey there!

1) "MATHMATICS"

a) Vowels - a, e, i, o, u

This is 3/10 of the letters meaning pulling a vowel is 30%.

b) Constants - B, C, D, F, G, H, J, K, L, M, N, P, Q, R, S, T, V, X, Z

Well there are 5 constants in mathematics so the percent is 50%.

c) Letter "m"

The letter m is 1/10 meaning pulling the letter m is a 10%.

2) 8 added to twice a number gives 40. Find the number

Well lets set u an equation,

8 + x + 8 = 40

16 + x = 40

-16

x = 24

Hope this helps :)

Answer:

In bold.

Step-by-step explanation:

1.

There are a total of 11 letters in the bag including 4 vowels, 7 consonants.

The letter m appears  twice in mathematics.

(a) Probability(getting a vowel) = 4/11.

(b)  Probability(getting a consonant) = 7/11.

(c)  Probability(getting a letter m) = 2/11.

2.  

Let the number be n, then:

8 + 2n = 40

2n = 32

n = 16.

Answer:

B

Step-by-step explanation:

Answer:

B=40°

Step-by-step explanation:

Sum of angles in a triangle =180°

90°+50°+x°=180°

140°+×°=180°

Collect like terms

x°=180°-140°

x°=40°

Answer: x = − 10

Step-by-step explanation:

X − 8 = − 20 =

12 − 28 = − 16

28 = − 16

2 − 12 = − 10

x = − 10

The length of the rectangle are:

7. MP = 10 units

8. MQ ≈ 9.2 units.

Recall that the diagonals of a rectangle have the same length and they intersect at the center of the rectangle, dividing it into two congruent sections.

7. MP and NQ are the diagonals of rectangle MNPQ. Therefore:

MP = NQ

NQ = 2(5) = 10 units

Length of MP = 10 units.

8. Applying the Pythagorean theorem:

MQ = √(MP² - PQ²)

MQ = √(10² - 4²)

MQ = √84

MQ ≈ 9.2 units

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Here x is 12.59785.

The law of sines specifies how many sides there are in a triangle and how their individual sine angles are equal. The sine law, sine rule, and sine formula are additional names for the sine law.

The side or unknown angle of an oblique triangle is found using the law of sine. Any triangle that is not a right triangle is referred to as an oblique triangle. At least two angles and their corresponding side measurements should be used at once for the sine law to function.

a/sin A = b/sin B = c/sin C

where a, b, and c are the lengths of the sides of the triangle and A, B, and C are the angles opposite those sides.

In your case, you are given the lengths of two sides (27 cm and c) and the measure of the angle between them (102°). You want to find the value of the third side, which we'll call x.

To solve for x, you can use the Law of Sines as follows:

x/sin 28° = 27 cm/sin 102°

You can then solve for x by cross multiplying and simplifying:

x = (27 cm * sin 28°) / sin 102°

=12.59785

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Answer:

5p

Step-by-step explanation:

if p=7, 5p=35

Answer:

5p

Step-by-step explanation:

Michael and Harry ate 5/12 of the bag altogether. 7/12 fraction of bag is left.

Let 'x' be the whole quantity in the bag of pretzels.

Michael ate 1/4 fraction of the bag.

That is, (1/4)x = x/4 quantity.

Harry ate 1/6 fraction of the bag.

That is, (1/6)x = x/6 quantity.

So the total they ate altogether will be the sum of the quantity each of the ate.

Hence, quantity they ate altogether = x/4 + x/6 = (6x + 4x)/(6 x 4)

                                                                              = 10x/24

                                                                              = 5x/12

So they ate 5/12 fraction of the bag altogether.

The remaining quantity left in the bag will be the difference of 5/12 from the whole.

That is, x - 5x/12 = 7x/12.

So 7/12 fraction of the bag is left.

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Work Shown:

Use the slope formula

m = (y2 - y1)/(x2 - x1)

m = (3-3)/(2-10)

m = 0/(-8)

m = 0

The slope of any horizontal line is always zero due to the fact all y coordinates on this line are the same. When we pick two points from the line, the same y coordinates subtract to 0. We can have 0 in the numerator, but not in the denominator.

As the slope formula shows, we basically subtract the y coordinates together, and do the same for the x coordinates as well in the same order. Then we divide the differences.

Answer: Cold length 7+days and medicine taken is 0.24, the box under is 0.76. Cold length 7+days and medicine not taken is 0.69 and the box under is 0.31. It should look like: 0.24 0.69

0.76. 0.31

Step-by-step explanation: the box is vertical, the total is on the bottom and not the side. This means that you would have to add 6 and 19 together to get 25. 6/25 is 0.24 and the box under would be the rest of the number to get to 1.00 (0.76) because the total is on the bottom. If the total was on the side then you would do 6+27=33, then 6/33 = 0.18 and the remaining amount needed to get to 1.00 is 0.82. Furthermore, if the table has the total at the bottom then, the numbers you add are on the bottom and top box. If the table has the total on the side then, the numbers you add are the boxes that are on the left and right. Remember to round to the nearest hundredth. Your welcome.

The two-way column relative frequency table is,

                                          Medicine taken        Medicine not taken  

cold length (≥ 7 days)               0.24                                0.69                

cold length (< 7 days)                10.76                               0.31                

           Total                                1.00                                 1.00                        

"It is a way to display relative frequencies (percentages or ratios), instead of just frequency counts."

For given example,

we have been given a two-way frequency table on whether medicine was taken and cold length.

We need to find the column relative frequency table.

First we find the total of each column.

                                        Medicine taken      Medicine not taken  

cold length (≥ 7 days)                6                                  27                

cold length (< 7 days)                19                                 12                

           Total                               25                                39                  

Now, divide each element of column by its respective total.

                                         Medicine taken           Medicine not taken  

cold length (≥ 7 days)                 6/25                                  27/39                

cold length (< 7 days)                19/25                                 12/39                

           Total                               25/25                                39/39

Therefore, the two-way column relative frequency table would be,

                                           Medicine taken        Medicine not taken  

cold length (≥ 7 days)                 0.24                                0.69                

cold length (< 7 days)                10.76                               0.31                

           Total                                1.00                                 1.00            

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Answer:

12+y+x+x+x+12+y+x = 24+2y+4x; which is A

Step-by-step explanation:

well, for the piece-wise function, we know that hmmm x = -1, -1 is less 1, so the subfunction that'd apply to that will be -2x + 1, because on that section "x is less than or equals to 1".

so f(-1) => -2(-1) + 1 => 3.

Answer:3

Step-by-step explanation:

In this case x=-1 so you will use the top equation because x<1

so f(-1) = -2(-1) + 1

          = 2+1

           =3

Where 12 samples of 100 printed circuit boards were tested and the number of defective boards in each sample is provided, a control chart that should be constructed to monitor the process is the p-chart.

The p-chart, also known as the proportion chart, is used to monitor the proportion of nonconforming items in a sample. In this case, the number of defective printed circuit boards in each sample can be used to calculate the proportion of defective boards.

To construct the p-chart, you would calculate the proportion of defective boards for each sample by dividing the number of defective boards by the total number of boards in that sample. Then, you can plot these proportions on the control chart to monitor the process over time.

The p-chart helps to identify any shifts or trends in the proportion of defective boards, allowing the quality assurance department to take appropriate actions to maintain or improve the process quality.

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Answer:

the answer is C increasing. yes of course you are right. please mark me as the brilliant pleasee!

The minimum number of masthead lights for the given vessel is 2.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
A towing vessel 35 meters in length, with a tow 100 meters astern,

Masthead lights = total length of the tow / total length of the vessel
                        = 100 / 35 = 2.85

So, the Number of Masthead lights for the given vessel is 2 ≤ x ≤ 3.
And a minimum number of masthead lights is 2.

Thus, the minimum number of masthead lights for the given vessel is 2.

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The correct statement regarding the residuals is given as follows:

Yes, the residuals are relatively small.

For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:

Residual = Observed - Predicted.

Hence, on the graph, the residuals are given by the vertical distance between each point on the line.

The points are close to the line in this problem, meaning that the residuals are small and the model is a good fit.

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The following statements are correct :

Property A(Stan):

Security Deposit is not part of Rental Income if it is returned at the end of lease period = $0

In cash basis, any amount received as rent will be taxable regardless if it is earned in that period or not = $1400

$15400

If your tenant pays any of your expenses, those payments are rental income. You may also deduct the expenses if they're considered deductible expenses = $0                                                            

Property B(Dani):

$18000

If security deposit is used for paying rent, then it is part of rental income = $1500

$1600

If your tenant pays any of your expenses, those payments are rental income. You may also deduct the expenses if they're considered deductible expenses = $0

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The graph of function is |x + 2| – 5= -(x - 1)(x - 3) which is represented in the graph option A is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

As we can see in the graph, there are two graphs of a function shown.

First one is a graph of a mod function and second one is a graph of a quadratic equation.

|x + 2| – 5= -(x - 1)(x - 3)

f(x) = |x + 2| - 5

g(x) = -(x - 1)(x - 3)

Thus, the graph of function is |x + 2| – 5= -(x - 1)(x - 3) which is represented in the graph option A is correct.

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Answer: 4

Step-by-step explanation:

To find the length of the model, we need to use the given scale, which states that 1 inch on the model represents 1.5 feet in reality.

The length of the actual object is given as 18 feet. Let's calculate the length of the model:

Length of model = Length of actual object / Scale factor

Length of model = 18 feet / 1.5 feet/inch

Length of model = 12 inches

Therefore, the length of the model is 12 inches. Therefore, the correct option is (a) 12 inches.

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r = 1 represents the value of r at which the rate of change of A with respect to t is equal to the rate of change of C with respect to t.

In mathematics, a circle is a basic geometric shape. It is a two-dimensional figure made up of all points in a plane that are equally spaced apart from the center, which is a fixed point.

We must differentiate both A and C with respect to t and set them equal to each other in order to get the value of r at which the rate of change of the area A with respect to t is equal to the rate of change of the circumference C with respect to t.

Given:

A = πr²

C = 2πr

Taking into account t, we can differentiate both equations:

dA/dt = d(πr²)/dt = 2πr(dr/dt)

dC/dt = d(2πr)/dt = 2π(dr/dt)

dA/dt is set to equal dC/dt:

2πr(dr/dt) = 2π(dr/dt)

The common terms (2) on both sides of the equation can now be eliminated:

r(dr/dt) = dr/dt

Now, we have the equation:

r(dr/dt) - (dr/dt) = 0

Factoring out (dr/dt):

(dr/dt)(r - 1) = 0

This equation must be satisfied by (dr/dt) = 0 or (r - 1) = 0.

If (dr/dt) = 0, then there is no change in the rate at which r changes with regard to t.

This suggests that r is not altering in relation to t. Consequently, r can be any value of a constant.

If (r - 1) = 0, it means that r = 1.

Consequently, r = 1 represents the value of r at which the rate of change of A with respect to t is equal to the rate of change of C with respect to t.

Hence the correct option is 4. r = 1.

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Answer:

Step-by-step explanation:

x = time

y = elevation

At x = 0  ,  y  = 0

It takes the submarine 2 hours to make descent of 2100 ft

=> x = 2 , y  = - 2100

Slope = ( -2100 - 0)/(2 - 0)  =  -1050

y - 0 = -1050 ( x -0)

=> y = -1050x

1050x  + y = 0

represent the relationship between the submarine's elevation and time.

Based on the data collected from the random sample, it can be expected that approximately 35 seventh graders would attend after-school programs out of a total of 200 seventh graders attending Lucy's school.

To determine the expected number of seventh graders who would attend after-school programs, we can set up a proportion based on the data collected from the random sample.

The proportion can be calculated as follows:

(Number of seventh graders attending after-school programs) / (Total number of seventh graders) = (Number of respondents attending after-school programs) / (Total number of respondents)

Let's denote the expected number of seventh graders attending after-school programs as x. We can set up the proportion as:

x / 200 = 7 / 40

To solve for x, we can cross-multiply and then divide:

40x = 7 * 200

40x = 1400

x = 1400 / 40

x = 35

Therefore, based on the data collected from the random sample, it can be expected that approximately 35 seventh graders would attend after-school programs out of a total of 200 seventh graders attending Lucy's school.

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The ratio of the median weekly earnings of the holder of a high school diploma only to the median weekly earnings of the holder of a bachelor's degree is approximately 0.67.

The median weekly earnings of the holder of a high school diploma only is approximately 0.67 times the median weekly earnings of the holder of a bachelor's degree. According to the Bureau of Labor Statistics in 2020, the median weekly earnings of a person with a high school diploma only was $712, while the median weekly earnings of a person with a bachelor's degree was $1,062. This indicates that the median weekly earnings of the holder of a high school diploma only is about two-thirds of the median weekly earnings of the holder of a bachelor's degree. This large discrepancy in earnings highlights the importance of higher education in ensuring a more secure and higher paying job.

$712 (High School Diploma) / $1,062 (Bachelor's Degree) = 0.67

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Answer:

The teahcer gave you 4/12 of a bag more than your friend.

Step-by-step explanation:

10/12 ---> 10/12

3/6 ---> 6/12

10/12 - 6/12 = 4/12

The statistical method that would be best to use in this situation is b) Regression analysis.

Regression analysis is a statistical technique used to examine the relationship between a dependent variable (in this case, the number of students registering each semester) and one or more independent variables (such as time, semester, or any other relevant factors). By analyzing past data on the number of students registering each semester, regression analysis can help identify trends, patterns, and the average number of students registering.

Using regression analysis, the university can estimate the average number of students registering each semester based on historical data and use this information to plan how many classes to run in the upcoming semester. It allows for a quantitative analysis and prediction based on the relationship between variables, making it a suitable choice for estimating the average number of students in this scenario.

Hence the answer is Regression analysis.

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