In five one day matches Rahul scored the following run: 126,38,56,82,123. Find his batting average​

L and J share no common elements, so their intersection is the empty set (c).

The intersection of sets L and J is represented as L∩J = ∅. (Option D)

In mathematics, when dealing with sets, it's essential to understand how different sets interact with each other. In this case, we have two sets, L and J, each containing specific elements. We need to find the intersection of these two sets, which refers to the elements that are common to both sets.

The intersection of two sets, denoted as L∩J, refers to the collection of elements that appear in both sets L and J. In other words, it includes all the elements that are common to both sets.

Now, let's examine the elements of sets L and J:

L = {d, e, g}

J = {b, c, h}

To find the intersection, we look for the elements that appear in both L and J. As we observe, there are no common elements between the two sets. Set L contains elements {d, e, g}, and set J contains elements {b, c, h}, but there are no elements that are shared between these two sets. Therefore, the intersection of L and J, denoted as L∩J, is an empty set (symbolized by ∅).

L∩J = ∅

The above equation means that there are no elements that are common to both sets L and J. In other words, the intersection of L and J is an empty set, indicating that there are no shared elements between the two sets.

To summarize, when we compare sets L and J, we find that their intersection is an empty set, which means there are no elements that are present in both sets. Therefore, option C (L∩J = ∅) is the correct choice. Option A (L∩J = {b, c, d, e, g, h}), option B (L∪J = {b, c, d, e, g, h}), and option D (L∪J = ∅) are not correct in this case, as they represent the union of sets or an empty set, which do not accurately reflect the intersection of L and J.

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The distance that Mr. Stein drove can be represented by the expression: \(140 - x\)

A mathematical phrase made up of one or more variables, constants, and arithmetic operations like addition, subtraction, multiplication, and division is known as an algebraic expression. Exponentiation and other mathematical operators could also be present.

Let's assume that Mr. Smith drove "x" miles before Mr. Stein took over the driving.

Then, the total distance they traveled is 140 miles.

So, the distance that Mr. Stein drove can be represented by the expression:

140 - x

Therefore, This is because if Mr. Smith drove "x" miles, then the remaining distance that needed to be covered by Mr. Stein would be the difference between the total distance of 140 miles and the distance already driven by Mr. Smith.

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Angie decorates 8 cupcakes after putting 4 sugar flowers on each cupcake.

To find the number of cupcakes c Angie decorates, we can use the equation:4c = 32where 'c' is the number of cupcakes Angie decorates.

4 represents the number of sugar flowers Angie puts on each cupcake, and 32 is the total number of sugar flowers Angie puts on the cupcakes.

To solve this equation for c, we need to isolate c on one side of the equation. We can do this by dividing both sides of the equation by 4. This gives us:c = 8

Therefore, Angie decorates 8 cupcakes.Here's how we get to this answer:4c = 32Divide both sides by 4 to isolate c:c/4 = 32/4c = 8

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The missing value 'x' in the two-way relative frequency table is 0.36.

To convert the two-way table to a two-way relative frequency table, we need to calculate the relative frequencies for each category. Relative frequency is calculated by dividing the frequency of a particular category by the total count in that row or column.

Let's denote the missing value as 'x'. To find the value of 'x', we need to ensure that the sum of the relative frequencies in each row and each column adds up to 1.

First, let's calculate the relative frequencies for each category:

Likes hockey: The total count in this row is 12 + 18 = 30.

Relative frequency of "Likes hockey" = 12/30 = 0.4

Relative frequency of "Doesn't like hockey" = 18/30 = 0.6

Likes baseball: The total count in this column is 12 + 14 = 26.

Relative frequency of "Likes baseball" = 12/26 ≈ 0.4615

Relative frequency of "Doesn't like baseball" = 14/26 ≈ 0.5385

To ensure that the relative frequencies add up to 1, we can set up the following equations:

0.4 + x = 1 (sum of relative frequencies in the "Likes hockey" row)

0.4615 + 0.5385 + x = 1 (sum of relative frequencies in the "Likes baseball" column)

Simplifying the equations, we have:

x = 0.6 (1 - 0.4) = 0.6 * 0.6 = 0.36

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Divide amount saved by percentage:

9/0.15 = 60

The original price was $60

Answer:$60

Step-by-step explanation:

9/15=0.6

0.6=1%

0.6*10=$60

Answer:

Mean temperature for the first 8 days was  \(3.88^\circ\)

Step-by-step explanation:

Mean = \(\frac{4\cdot 7+3\cdot 1}{8}\)

\(=3.88^\circ\)

Best Regards!

Answer:

3.875

Step-by-step explanation:

Answer:

The confidence interval is  \(25.16 < \mu < 26.85\)

Step-by-step explanation:

From  the question we are given a data set

     25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, and 25.7.

The mean of the this sample data is  

       \(\= x = \frac{\sum x_i}{n}\)

where is the sample size with values  n =  10

         \(\= x = \frac{25.5+ 26.1+ 26.8+23.2+ 24.2+ 28.4+ 25.0+ 27.8+ 27.3+ 25.7}{10}\)

          \(\= x = 26\)

The standard deviation is evaluated as

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

substituting values

     \(= \sqrt{\frac{ ( 25.5-26)^2, (26.1-26)^2, (26.8-26)^2, (23.2-26)^2}{10} }\)

                  \(\cdot \ \cdot \ \cdot \sqrt{\frac{ ( 24.2-26)^2, (28.4-26)^2+( 25.0-26)^2+ (27.8-26)^2+( 27.3-26)^2+( 25.7-26)^2}{10} }\)

     \(\sigma = 1.625\)

The  confidence level is given as 90% hence the level of significance is calculated as

    \(\alpha = 100 -90\)

    \(\alpha =10\)%

   \(\alpha = 0.10\)

Now the critical values of \(\frac{\alpha }{2}\) is obtained from the normal distribution table as

      \(Z_{\frac{\alpha }{2} } = 1.645\)

The reason  we are obtaining  the critical values of \(\frac{\alpha }{2}\) instead of  \(\alpha\) is because  we are considering two tails of the area under the normal curve

  The margin of error is evaluated as

            \(MOE = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }\)

substituting values

           \(MOE = 1.645 * \frac{1.625 }{\sqrt{10} }\)

           \(MOE = 0.845\)

The  90%, two sided confidence interval is mathematically evaluated as

           \(\= x - MOE < \mu < \= x + MOE\)

           \(26 - 0.845 < \mu < 26 + 0.845\)

           \(25.16 < \mu < 26.85\)

Given that the lower and the upper limit is greater than  25 then we can assure the manufactures  that the battery life exceeds 25 hours

Answer:

137°

Step-by-step explanation:

So the question given that triangle ABC is similar to triangle DEF right?

For similar triangles we get the following properties:

-corresponding angles are the same

[∴angle A = angle D, angle B = angle E, angle C = angle F]

-ratio of the corresponding sides of the two triangles are the same(not related to this question)

So, we get angle D = 64°, angle G = 64 + 73 = 137° (ext. ∠ of Δ)

Answer:

7

Step-by-step explanation:

6×4=24

52-24=28

28÷4=7

Step-by-step explanation:

mmmmmkkkkkkkkkkkkkkkkkk

Ans

b-18 s-42

Step-by-step explanation:

The 95% confidence interval for the effectiveness of the blood-pressure drug is given as follows:

\(22.6 < \mu < 24.4\)

The mean, the standard deviation and the sample size for this problem, which are the three parameters, are given as follows:

\(\overline{x} = 23.5, \sigma = 12.2, n = 775\)

Looking at the z-table, the critical value for a 95% confidence interval is given as follows:

z = 1.96.

The lower bound of the interval is then given as follows:

\(23.5 - 1.96 \times \frac{12.2}{\sqrt{775}} = 22.6\)

The upper bound of the interval is then given as follows:

\(23.5 + 1.96 \times \frac{12.2}{\sqrt{775}} = 24.4\)

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The angle on the unit circle is solved to be

56.01 degrees (to the nearest tenth)

To find the angle of the terminal side through the given point on the unit circle, we can use the inverse trigonometric functions.

given that P = ((√5)/4, (√11)/4)

θ = arctan ((√11)/4 / (√5)/4)

θ = arctan((√11)/(√5))

θ ≈ 56.01 degrees

hence to the nearest tenth of a degree, the angle of the terminal side through the point P = ((√5)/4, (√11)/4) on the unit circle is approximately 56.01 degrees.

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The benefits of using quadratic models in real-world applications include: -They are versatile and can be used for a variety of problems.

Researchers may find the quadratic model to be a useful data analytic approach for helping them identify the combined impacts of achievement goals on academic accomplishment.

We anticipate that future studies on the impact of academic achievement goals will frequently use the quadratic model to analyze their data.

Situations that can be approximated by quadratic functions include tossing a ball, firing a cannon, jumping off a platform, and hitting a golf ball.

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Answer:

the slope is 9/2

Step-by-step explanation:

i did the test

Answer:

7.   0.37

Decimal value is  - HUNDREDTHS

Fraction value is - \(\frac{37}{100}\)

    1.735

Decimal value is  -  TENTHS

Fraction value is - \(\frac{1735}{1000}\)

8.   6.075

Decimal value is  - HUNDREDTHS

Fraction value is - \(\frac{6075}{1000}\)

      27.05

Decimal value is  - ONES

Fraction value is -  \(\frac{2705}{100}\)

9.    0.127

Decimal value is  - THOUSANDTHS

Fraction value is - \(\frac{127}{1000}\)

    3.007

Decimal value is  - THOUSANDTHS

Fraction value is - \(\frac{3007}{1000}\)

Answer:So, the prime factors of 90 are 2 × 3 × 3 × 5 or 2 × 32 × 5, where 2, 3 and 5 are the prime numbers.

Step-by-step explanation:

Answer:

Step-by-step explanation:

BAD = 42

x + 103 + 42 = 180

x = 180 - 145

x = 35

Answer:

x = 24.6

Step-by-step explanation:

Reference angle = 26°

Opposite side to reference angle = 12

Adjacent side = x

Thus, apply TOA (trigonometric ratio)

Tan 26 = opp/adj

Tan 26 = 12/x

x × tan 26 = 12

x = 12/(tan 26)

x = 24.6 (nearest tenths)

It should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.

It should be noted that a graph is a diagram that is used to show the relationship that exists between the data presented or the information.

In this case, ut should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.

The graph is attached below.

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Using the constant of proportionality the value of x when y is 72 is 9.

What is a COP?

The ratio between two quantities that are directly proportional is the constant of proportionality. When two quantities grow and shrink at the same rate, they are directly proportional.

If y varies directly as x, it means that y can be expressed as a constant multiple of x, i.e., y = kx, where k is the constant of proportionality.

To find k, we can use the given information that y = 48 when x = 6 -

y = kx

48 = k(6)

k = 8

Now that we know k, we can use it to find x when y = 72 -

y = kx

72 = 8x

x = 9

Therefore, when x = 72, the value of x = 9.

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Answer:

2

Step-by-step explanation:

Answer:

\(5 {x}^{2} + 2x = 7x + 3x \\ 5 {x}^{2} + 2x = 10x \\ 5 {x}^{2} = 10x - 2x \\ 5 {x}^{2} = 8x \\ 5x = 8 \\ x = \frac{8}{5} = 1.6 \\ thank \: you\)

Answer:

36°

Step-by-step explanation:

Angles in a triangle add up to 180°.

\(x=180-65-79\)

\(x=36\)

Answer: 36°

Step-by-step explanation:

The triangle is 180° total. Since we know this, we can find the missing angle.

65+79+x=180

144+x=180

x=36

Answer:

x= 10

Step-by-step explanation:

1/5 x -2/3 = 4/3

Add 2/3 to each side

1/5x -2/3 +2/3 = 4/3 +2/3

1/5x = 6/3

1/5x = 2

Multiply each side by 5

1/5x * 5 = 2*5

x = 10

Answer:

144+1/2 over 189

Step-by-step explanation:

Evaluate the exponent, : 1 over i89

Re-order terms so constants are on the left

Answer:

The given expression comes out to have the value 3.02

(NOTE: IMPORTANT: Please check if the 2nd term is 63 and not 64, if the 2nd term is 64, then the evaluation comes out to be, 12/4 = 3)

Step-by-step explanation:

We have the expression,

\((144^{1/2})(63^{-1/3})\\So, \ evaluating,\\(\sqrt{144})/(63^{1/3})\\12/\sqrt[3]{63})\\ =12/3.979\\=3.02\)

Answer:

Step-by-step explanation:

If the order you select them is important

nmber of ways = 9! / (9-7)!

= (9*8*7*6*5*4*3*2*1) / (2*1)

= 9*8*7*6*5*4*3

= 181,440.

If the order does not matter:

nmber of ways = 9! / ((9-7)! * 7!)

= 9*8 / 2*1

= 36.