Find the measure of line segment AB.​

The theoretical probability of spinning red is given as follows:

1/3.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

For the spinner in this problem, 2 out of 6 regions are red, hence the theoretical probability is given as follows:

2/6 = 1/3.

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The group of measures which would lead to the provided conclusion is the range is 7, the mean of the data is 12, the median is 12 and the mode is 11.

Given that, the data is around 12. If another measurement were taken, it would probably be around 12.

We need to find which group of measures would lead to this conclusion.

The mean of the data is the average value of the given data. The mean of the data is the ratio of the sum of all the values of data to the total number of values of data.

The median of the data is the middle value of the data set when it arrange in ascending or descending order. The data is around 12 which suggests that the median is 12.

Median=12

The mode of a data set is the value, which occurs most times for that data set. The value which has the highest frequency in the given set of data is known as the mode of that data set.

Mean and mode is around the median. For this case, the mean of the data is 12 and the mode is 11.

Mode=11

Mean=12

Thus, the group of measures which would lead to the provided conclusion is the range is 7, the mean of the data is 12, the median is 12 and the mode is 11.

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From the information given, the differential equation will be di/dt = (E - Ri) / L.

From the information given, we can set up the differential equation as:

-E(t) = Ldi(t)/Dr + Ti(t) = 0.

Here, i(t) = I

E(t) = E

Therefore, this will be:

= -E + Ldi/dt + Ri = 0

We'll now solve for di/dt

Ldi/dt = E - Ri

di/dt = (E - Ri) / L

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a. The secant slope through (-2,4) and (0,0) is -2.

b. The secant slope through (-1.5,2.25) and (-0.5,0.25) is -2.

The estimated slope of the tangent line to f(x) = x^2 at x = -1 is approximately -2.

To estimate the slope of the tangent line to the function f(x) = x^2 at x = -1, we can find the slopes of the secant lines through different pairs of points.

a. (-2,4) and (0,0):

The coordinates of the two points are (-2, 4) and (0, 0). We can calculate the slope of the secant line passing through these points using the formula:

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

Plugging in the values, we get:

msec = (0 - 4) / (0 - (-2))

= -4 / 2

= -2

So, the slope of the secant line passing through (-2, 4) and (0, 0) is -2.

b. (-1.5, 2.25) and (-0.5, 0.25):

The coordinates of the two points are (-1.5, 2.25) and (-0.5, 0.25). Using the slope formula, we can calculate the slope of the secant line passing through these points:

msec = (0.25 - 2.25) / (-0.5 - (-1.5))

= (-2) / (1)

= -2

So, the slope of the secant line passing through (-1.5, 2.25) and (-0.5, 0.25) is -2.

By finding the slopes of the secant lines, we have estimated the rate of change of the function f(x) = x^2 at x = -1. The slope of the tangent line at this point will be very close to these secant slopes, particularly as the two points used to calculate the secant lines get closer together.

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73 division 84, 649 would give 8. 64 × 10^-4

In order to determine the value of the division, we have

= \(\frac{73}{84649}\)

Using the calculator, put the values in

We would have

= 8. 64 × 10^-4

Thus, 73 division 84, 649 would give 8. 64 × 10^-4

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Answer:

1cm in scale =50000 cm in actual ground

what of 10cm on actual ground

10cm× 50000

500000cm

in kilometres

1km=100000cm

500000cm÷100000cm

5km

The Confidence interval is between 111.31 minutes and 126.69 minutes

Given that:

Mean (μ) = 119, standard deviation (σ) = 21.5, sample size (n) = 30

Confidence (C) = 95% = 0.95

The z score of α/2 is the same as the z score of 0.475 (0.5 - 0.025) which is equal to 1.96

The margin of error (E) is:

Confidence interval = (μ ± E) = (119 ± 7.69) = (111.31, 126.69)

The Confidence interval is between 111.31 minutes and 126.69 minutes

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Answer:

110.97, 127.03

Step-by-step explanation:

A simplification of the fractions (-5/8) ÷ (-3/4) is equal to: B. -20/24.

The step in which Johnetta made her error include the following: A. step 1.

In Mathematics and Geometry, a fraction simply refers to a numerical quantity (numeral) which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.

Based on the information provided above, the division can be calculated as follows;

Fraction = (-5/8) ÷ (-3/4)

Fraction = -5/8 × (-4/3)

Fraction = -20/24

For Johnetta, we have:

Fraction = 7/9 ÷ 3/8

Fraction = 7/9 × 8/3

Fraction = 56/27

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Answer:

(0,6) and (1.2 , 0)

Step-by-step explanation:

5x + y = 6

if we take x=0

5(0) + y = 6

y = 6            ; so, one of the solution is (0,6)

if we take y=0

5x + (0) = 6

5x = 6

x = 6/5 = 1.2     ; so, the other solution is (1.2 , 0)

But basically, you can find other solutions of the equation if you do this:

5x + y = 6

5x = (6 - y)

x = (6 - y) / 5    ; so if you use whatever number of y, you will find the rigth solution for x.

and you can do the opposite too:

5x + y = 6

y = 6 -5x       ; with this, you can use whatever number of x, and find the right y.

I hope this helps you!!!

1. The probability of selecting a 3 of Diamonds is 1/52.

2. The probability of selecting a Club or Diamond is 1/2.

3. The probability of selecting a number smaller than 9 is 9/13.

1. The probability of selecting a 3 of Diamonds:

There is only one 3 of Diamonds in the deck, and the total number of cards in the deck is 52. Therefore, the probability of selecting a 3 of Diamonds is 1/52.

2. The probability of selecting a Club or Diamond:

There are 13 Clubs and 13 Diamonds in the deck, making a total of 26 cards. The probability of selecting a Club or Diamond is the ratio of the number of favorable outcomes (Club or Diamond) to the total number of possible outcomes (52 cards). Therefore, the probability is 26/52, which simplifies to 1/2.

3. The probability of selecting a number smaller than 9:

There are four suits in the deck (Clubs, Diamonds, Hearts, and Spades), and each suit has cards numbered 2 to 10. So, there are 4 suits * 9 cards per suit = 36 cards that are numbered smaller than 9.

The probability of selecting a number smaller than 9 is the ratio of the number of favorable outcomes (36 cards) to the total number of possible outcomes (52 cards). Therefore, the probability is 36/52, which simplifies to 9/13.

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The calculated area of the sector is 148.37 square cm

From the question, we have the following parameters that can be used in our computation:

Central angle = 210 degrees

Diameter = 18 cm

Using the above as a guide, we have the following:

Radius, r = 18/2

r = 9 cm

The equation of a sector area is

Sector area = central angle/360 * 3.14 * Radius²

So, we have

Sector area = 210/360 * 3.14 * 9²

Evaluate

Sector area = 148.37

Hence, the area of the sector is 148.37 square cm

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1. The volume of the pyramid is 320ft³

3. The volume of the pyramid is 2395.83cm³

5. The volume of the pyramid is 1200in³

The volume of a rectangular pyramid can be calculated using the formula:

V = (1/3) * base area * height

Where:

1. The volume of the pyramid is calculated as;

V = 1/3 * 8 * 12 * 10 = 320ft³

3. The volume of the pyramid is;

V = 1/3 * (25 * 12.5) * 23 = 2395.83cm³

5. The volume of the pyramid is;

V = 1/3 * (15 * 15) * 16 = 1200in³

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Answer:

48

Step-by-step explanation:

20 percent off of 60 is 48

Sixty is 20 percent more than 50.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Let's call the unknown number x.

We know that 60 is 20% more than x, which can be written as:

60 = x + 0.2x

Simplifying:

60 = 1.2x

Dividing both sides by 1.2:

x = 50

Therefore, 60 is 20% more than 50.

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In linear equation, -1.15  is the value of 21 over 4 − 32 over 5.

What in mathematics is a linear equation?

An algebraic equation B. y=mx+b (where m is the slope and b is the y-intercept) containing simple constants and first-order (linear) components, such as the following, is called a linear equation. The above is sometimes called a "linear equation in two variables" where x and y are variables.

                                An equation with only one variable is called a univariate linear equation. It contains the expression Ax + B = 0. where A and B are any two real numbers and x is an ambiguous variable with only one possible value. 

(21/4) - (32/5)

=   21 * 5 - 32 * 4/ 20

=  105 -  128/20

= -1.15

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Answer:

umm whats the question-

help you in what man?

there is no question

Answer:

8700kg

Step-by-step explanation:

b = mass of bricks

l = mass of lorry

b+l = total mass = 11600kg

b = 3l  ==>  l = b/3

substitute: b + b/3 = 11600

multiply every term by 3 to get rid of denominator: 3b + b = 34800

simplify and solve:  4b = 34800  ==>  b = 8700

check:  l = 8700/3 = 2900

2900 + 8700 = 11600?  YES

There are 105 ways to arrange the digits in the number 7,552,222.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Here,
The digit 2 appears 4 times in the number, so we can rearrange these 4 digits in 4! = 24 ways, and this will result in the same number. Therefore, we need to divide the total number of permutations by 24 to adjust for the overcounting due to the repeated 2s.

Similarly, the digit 5 appears twice in the number, so we can rearrange these 2 digits in 2! = 2 ways, and this will result in the same number. Therefore, we also need to divide the total number of permutations by 2 to adjust for the overcounting due to the repeated 5s.

Using the formula for the number of permutations with repeated objects, we can calculate the total number of arrangements as follows:

N = 7! / (2! * 4!) = 7 * 6 * 5 * 4 * 3 * 2 * 1 / (2 * 1 * 4 * 3 * 2 * 1) = 7 * 5 = 105

Therefore, there are 105 ways to arrange the digits in the number 7,552,222.

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Answer:

n=14

Step-by-step explanation:

12.5=n-1.5

-n=-1.5-12.5

-n=-14

n=14

Answer: he will be 14

Step-by-step explanation:

Anna is 14 and her brother is 10. Two years ago she was 12. 3/4 of 12 is 9. 9+5 more years is 14. :)))

Answer:

The pharmacy has 8 pints of cough syrup and a prescription calls for 3/4 of a pint, so to find the number of full prescriptions that can be filled, you would divide 8 (the total amount of cough syrup) by 3/4 (the amount of cough syrup per prescription). This would be 8 / (3/4) = 8 * (4/3) = 8 * 1.33 = 10.67.

Therefore, they can fill 10 prescriptions, they will have 0.67 left.

Step-by-step explanation:

The probability is  \(\frac{31}{365}\)  , If an individual is selected at random have birthday in July  .

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Probability(Event) = \(\frac{Favorable Outcomes}{Total Outcomes}\) = \(\frac{x}{n}\)

According to the question

Total number  of days in year = 365

Total number of days in a leap year = 366

As, given  Ignore leap years

So, we will take days of years as 365 .

Now,

he or she has a birthday in July

i.e ,

It can be be happen any day of July

Total days in July = 31

Now,

Probability(Event) = \(\frac{Favorable Outcomes}{Total Outcomes}\) = \(\frac{x}{n}\)

substituting the value

Probability(Event) = \(\frac{Total\\\ day\\\ in\\\ July }{Total\\\ days\\\ in\\\ year}\)

Probability(Event) = \(\frac{31}{365}\)

Hence, If an individual is selected at random the probability have birthday in July  is  \(\frac{31}{365}\)  .

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Answer:

\(2,712 \: {yd}^{2} \)

Step-by-step explanation:

Height of cylinder (h) = 24 yd

radius of cylinder (r) = 6 yd

Lateral surface area of the cylinder

\( = \pi {r}^{2} h \\ \\ = 3.14 {(6)}^{2}(24) \\ \\ = 2,712.96 \: {yd}^{2} \\ \\ \approx \: 2,712 \: {yd}^{2} \)

Answer:

272 thats the umm..never mind heheh

Answer:

86.4 I believe

Step-by-step explanation:

Answer:

6.8333333333 or 41/6

Step-by-step explanation:

Answer:

2x^2 = (2 x 2) x (2 x 2)

= 4 x 4

= 16

I hope this helps you

For the expression \(x^64 + ax^b + 25\) to be a perfect square for all integer values of x, b must be 64, and a must be a perfect square, written as a = \(y^2.\)

To determine the values of a and b such that the expression\(x^64 + ax^b\) + 25 is a perfect square for all integer values of x, we need to analyze the properties of perfect squares.

A perfect square is an expression that can be written as the square of another expression. In this case, we want the given expression to be in the form of\((x^n)^2,\) where n is an even integer.

Let's examine the given expression: \(x^64 + ax^b\) + 25

For it to be a perfect square, the quadratic term \(ax^b\)must have the same exponent as the leading term\(x^6^4.\) This means b must be equal to 64.

So we have:\(x^64 + ax^64 + 25\)

Now, we can rewrite this as:\((x^32)^2 + 2(x^32) (\sqrt{a}) + (\sqrt{25})^2\)

By comparing this with the standard form of a perfect square, (\(x^n +\sqrt{k} )^2\), we can deduce that √a must be equal to x^32 and \(\sqrt{25}\) must be equal to \(\sqrt{k.}\)

Therefore, we have: \(\sqrt{a} = x^3^2\)and\(\sqrt{25} = \sqrt{k}\)

From the second equation, we know that k = 25.

Now, substituting the value of k back into the first equation, we have: \(\sqrt{a} = x^3^2\)

To satisfy this equation for all integer values of x, a must be a perfect square. Therefore, we can express a as a =\(y^2\), where y is an integer.

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Answer:

Given Figure has set of Stacked cubes.

To Draw the Base Plan, lets see its right side, Left Side and Front side view.

Right side:

It has 3 cubes in base.

2 cubes in 2nd layer clearly seen in figure and only 1 cube in 3rd layer.

Left Side:

It has 2 Cubes in base.

Both Cubes attached to 1st and 2nd cube of right side cubes.

Front Side:

It can be seen that, here base only has 2 rows of cubes.

Therefore,  1st Figure is correct Base Plan (or enclosed figure)

Note: Numbers in enclosed figure just shows the total no. of cubes in that stack.

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