g kayla rolls four fair 6-sided dice. what is the probability that at least one of the numbers kayla rolls is greater than 4 and at least 2 of the numbers she rolls are greater than 2?

The answer is: 190.091

Answer:

Today: Monday, 12 October 2020

Hour: 05.29 WIB (in Indonesian)

_________________________

area of semicircle

πr²/2

= 3.142 × 11²/2

= 3.142 × 121/2

= 380.182/2

= 190.091 cm²

Answer: 1091

Step-by-step explanation: add the numbers

The sum is 1091

'Sum is the aggregate of two or more numbers, magnitudes, quantities, determined by the mathematical process of addition.'

According to the given expression,

Adding,

890 + 201 = 1091

Hence, we can conclude, the sum of 890 and 201 is 1091.

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The test statistic value for this situation is approximately -2.474.

A hypothesis test comparing the sample mean to the assumed population mean is necessary in order to determine the value of the test statistic. The population mean triglycerides level would be the null hypothesis (H0), and the alternative hypothesis (Ha) would be that the population mean is not 130 units.

The t-statistic, which is calculated as follows, is the test statistic utilized in this circumstance:

t = (test mean - expected populace mean)/(test standard deviation/sqrt(sample size))

Given the data gave, we have:

Expected populace mean (μ): 130 Mean of the sample (x): 122

Test standard deviation (s): 20 (n) sample sizes: 30

Connecting the qualities into the recipe, we can work out the test measurement:

t = (122 - 130) / (20 / sqrt(30)) t = -8 / (20 / sqrt(30)) After calculating this expression, we come to the following conclusion:

t ≈ - 2.474

Hence, the test measurement an incentive for this present circumstance is roughly - 2.474.

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Answer:

Step-by-step explanation:

y = dresser height

x = mirror height

x+y=6.28

x-y = 1.28

x = 1.28+y

x+y=6.28

(1.28+y)+y=6.28

2y = 5

y = 2.5

Dresser = 2.5 ft

Dresser + Mirror = 2.5 + 1.28 = 6.28 ft

Mirror = 1.28 ft

Answer:

It is 23

Step-by-step explanation:

BC= FE

(x-4)=19

Therefore x= 23

We can subtract the number 5 from 25 five times.

To find out how many times you can subtract the number 5 from 25, you need to perform a division operation. Divide 25 by 5 and you will get the answer.

To see why, consider that the first time you subtract 5 from 25, you get 20. The second time you subtract 5 from 20, you get 15. Continuing this process, you get 10, 5, and finally 0 after the fifth subtraction.

If you try to subtract 5 from 0 again, you would end up with a negative number, which does not make sense in this context. Therefore, you can only subtract the number 5 from 25 five times.

Divide 25 by 5
25 ÷ 5 = 5

So, you can subtract the number 5 from 25 five times.

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Answer:

\( abc = - \frac{16}{3} \)

Step-by-step explanation:

\( {x}^{ - 2} {y}^{3} \sqrt[3]{ 64{x}^{5} {y}^{3} } = a {x}^{b} {y}^{c} \\ \\ {x}^{ - 2} {y}^{3} \times 4 \times {x}^{ \frac{5}{3} } \times y= a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{5}{3} - 2 } {y}^{3 + 1} = a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{5 - 6}{3} } {y}^{4} = a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{ - 1}{3} } {y}^{4} = a {x}^{b} {y}^{c} \\ \\ equating \: like \: terms \: on \: both \: sides \\ \\ a = 4 \\ \\ b = - \frac{1}{3} \\ \\ c = 4 \\ \\ abc = 4 \times ( - \frac{1}{3} ) \times 4 \\ \\ = 16 \times ( - \frac{1}{3} ) \\ \\ abc = - \frac{16}{3} \)

For the random sample, the test statistic is -3.88.

The hypothesis to be tested can be expressed as follows:

H0: p1 ≤ p2, or equivalently p1 - p2 ≤ 0 (null hypothesis)

HA: p1 > p2, or equivalently p1 - p2 > 0 (alternative hypothesis)

where p1 is the true proportion of vehicles exceeding the pollution standard at low altitudes, and p2 is the true proportion of vehicles exceeding the pollution standard at high altitudes.

The test statistic to test this hypothesis is given by:

z = (p1 - p2) / sqrt(p(1 - p) * (1/n1 + 1/n2))

where p1 and p2 are the sample proportions of vehicles exceeding the pollution standard at low and high altitudes, respectively, p = (x1 + x2) / (n1 + n2) is the pooled sample proportion, x1 and x2 are the numbers of vehicles exceeding the pollution standard in the two samples, and n1 and n2 are the sample sizes.

For the given data, we have:

x1 = 41, n1 = 310, p1 = 41/310 ≈ 0.1323, x2 = 21, n2 = 95, p2 = 21/95 ≈ 0.2211, p = (x1 + x2) / (n1 + n2) ≈ (41 + 21) / (310 + 95) ≈ 0.1521

Substituting the values, we get:

z = (0.1323 - 0.2211) / sqrt(0.1521 * 0.8479 * (1/310 + 1/95))≈ -3.88

The test statistic is approximately -3.88.

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Answer:

Step-by-step explanation: 1 is the mode it has the most numbers that repeat

Answer:

The mode is 1.

Step-by-step explanation:

The mode is the number that occurs in a set the most. You can remember this as the word "most" and "mode" sounding similar.

Answer:120

DCA=25+35=60

X=DCA+60=60+60=120

Step-by-step explanation:

Answer:

a. the relationship is nonlinear. for the graph to be linear, the points must form one straight and consistent line.

b. the relationship is increasing

c. domain: (1, 2, 3, 4, 5, 6, 7) this may be written differently but the domain goes from 1 to 7

The percentage of the games that Natasha scores between 93 and 142 is given as follows:

96.9%.

The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:

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

The mean and the standard deviation are given as follows:

\(\mu = 115, \sigma = 11\)

The proportion of games with scores between 93 and 142 is the p-value of Z when X = 142 subtracted by the p-value of Z when X = 93, hence:

Z = (142 - 115)/11

Z = 2.45

Z = 2.45 has a p-value of 0.992.

Z = (93 - 115)/11

Z = -2

Z = -2 has a p-value of 0.023.

0.992 - 0.023 = 0.969, hence the percentage is of 96.9%.

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Answer:

Step-by-step explanation:

Statistical considerations for the use of composite health-related quality-of-life scores in randomised trials

This is a research paper whose author is Andrew J. Vickers.

Abstract:

Conclusions:

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Therefore, the value of y at t = 0.4 is 5.To find the value of y at t = 0.4, we can use the Euler's method. Here are the steps to solve the given differential equation.

1. Given the differential equation y' + 0.2y = 0, we need to find the value of y at t = 0.4.

2. Start with the initial condition y(0) = 5. This gives us the starting point for our approximation.

3. Let's choose a step size h = 0.2. This means we will approximate the value of y at t = 0.4 using the values of y at t = 0, t = 0.2, and t = 0.4.

4. To approximate y at t = 0.2, we use the formula:
  y(0.2) = y(0) + h * (dy/dt)(0)
         = 5 + 0.2 * [y'(0) + 0.2 * y(0)]

5. Substitute the values into the formula:
  y(0.2) = 5 + 0.2 * [y'(0) + 0.2 * 5]

6. Now, let's find the value of y'(0):
  Given the differential equation, y' + 0.2y = 0, we can rearrange it to find y':
  y' = -0.2y

7. Substitute this value into the formula:
  y(0.2) = 5 + 0.2 * [-0.2 * 5 + 0.2 * 5]

8. Simplify the equation:
  y(0.2) = 5 + 0.2 * [0]
         = 5

9. Now, to find y at t = 0.4, we repeat the process using the values of y at t = 0.2 and t = 0.4:
  y(0.4) = y(0.2) + h * (dy/dt)(0.2)
         = 5 + 0.2 * [y'(0.2) + 0.2 * y(0.2)]

10. Substitute the values into the formula:
   y(0.4) = 5 + 0.2 * [(-0.2 * 5) + 0.2 * 5]

11. Simplify the equation:
   y(0.4) = 5 + 0.2 * [0]
          = 5.

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Given the question in the question tab, the original selling price can be calculated by:

Step 1: State the price of the set after the discount has been given

Step 2: The 10% discount of the original price (p) will be:

Step 3: The discount was removed from original price (p), so we have:

Step 4: Write the new formula for the price, we have:

Hence, the original selling price for the set of 10 golf clubs is approximately $943.33 to the nearest cent.

Answer:

depth = 6th + 2(number of years)

For the given polynomials after solving the long division, the quotient of the polynomial is x+3 and the remainder of the polynomial is 0.

Long Division: Long division is the method of performing division operations on the polynomials. In the given polynomial the divisor is 3x+7 and the dividend is 3x²+16x+21.

To know the quotient and remainder we have to perform the long division. It is almost likely normal division only but, only we can perform it with polynomials.

The long division for the given polynomial is performed below:

       3x + 7 ) 3x²+16x+21 ( x + 3

                    3x² + 7x

                  -------------------------

                              9x + 21

                               9x + 21

                        ----------------------------

                                     0

From the above analysis, we can conclude that the quotient is x+3 and the remainder is 0.

For, clear understanding attaching the handwritten solution.

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Step-by-step explanation:

Replace x by -3 in

F(x) = 9x - 4

F(-3) = 9(-3)-4

= -27-4

= -31

Coordinates of point B are (5x₂+6x₁)/11 and (5y₂+6y₁)/11

What is the section formula in coordinate geometry?

When the line segment is divided internally in the ratio m:n, we use this formula.  That is when point C lies somewhere between points A and B. p= (mx₂+nx₁)/(m+n) & q= (my₂+ny₁)/(m+n)

Given here,  point B on AC such that the ratio of AB to AC is 5:6

Let the point B(p,q) internally divide the line joining points A(x₁, y₁) and C(x₂, y₂) in the ratio m : n , then,

p= (mx₂+nx₁)/(m+n)

q= (my₂+ny₁)/(m+n)

Here. m=5 and n=6

p=(5x₂+6x₁)/11 , q=(5y₂+6y₁)/11

Hence, the Coordinates of point B are (5x₂+6x₁)/11 and (5y₂+6y₁)/11

I hope this helps <3

Answer:

A ≈ 14.8 units²

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) yz sin Y ( that is 2 sides and the angle between them )

where x is the side opposite ∠ X and z the side opposite ∠ Z

here y = XZ = 4.3 and z = XY = 7 , then

A = \(\frac{1}{2}\) × 4.3 × 7 × sin79°

   = 15.05 × sin79°

   ≈ 14.8 units² ( to 1 decimal place )

Answer:

10\(x^{2}\) - 4x

Step-by-step explanation:

Answer:

10x^2-4x

Step-by-step explanation:

Answer:

$23.68

Step-by-step explanation:

$13.68+ $4.56= $18.24

$18.24+ $5.44= $23.68

Here's your answer!

The probability that a worker at the fast food restaurant earns more than $7.00/hr is approximately 0.9292 or 92.92%.

To calculate the probability that a worker at the fast food restaurant earns more than $7.00/hr, we need to standardize the value using the z-score formula and then find the corresponding probability from the standard normal distribution.

Given:

Mean (μ) = $6.34/hr

Standard Deviation (σ) = $0.45/hr

Value (X) = $7.00/hr

First, we calculate the z-score:

z = (X - μ) / σ

z = (7.00 - 6.34) / 0.45

z = 1.48

Next, we find the probability associated with this z-score using a standard normal distribution table or calculator. The probability corresponds to the area under the curve to the right of the z-score.

Using a standard normal distribution table, we can find that the probability associated with a z-score of 1.48 is approximately 0.9292.

Therefore, the probability that a worker at the fast food restaurant earns more than $7.00/hr is approximately 0.9292 or 92.92%.

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Answer:160

Step-by-step explanation:

multiply the expressions

Answer: 7 I think its adding but if its multiplying it is 12

Step-by-step explanation:

Answer:

4:3

Step-by-step explanation:

Hope this helps

The Euclidean algorithm applied to inputs a and b halts in at most 2 log2(b) + 2 steps. This is proven by analyzing the efficiency of the algorithm and the relationship between the input values.

To prove this, let's start with the fact that the Euclidean algorithm uses the Division Algorithm, which means it computes the remainder between two numbers (a % b). When we apply this operation repeatedly, the remainders get smaller until we reach 0 or 1, at which point we have found the greatest common divisor (gcd).

Let's consider a sequence of remainders, r1, r2, ..., rn, where r1 = a % b, r2 = b % r1, and so on. Notice that each remainder is strictly smaller than the previous one. Since the sequence of remainders is decreasing, there must be a point where it stops, i.e., it halts.

Now, let's analyze the steps. Each time we apply the algorithm, we cut the input size by at least half. The worst-case scenario occurs when the input values are consecutive Fibonacci numbers, where the algorithm takes roughly log2(b) steps to halve the input size. Since this halving process can happen twice, we get a total of 2 log2(b) steps.

Finally, we add 2 to account for the two initial steps (gcd(a, 1) and gcd(a, 0), which take 0 steps). Therefore, the Euclidean algorithm halts in at most 2 log2(b) + 2 steps.

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Answer:

Angle C = 142 degrees

Step-by-step explanation:

A+B = 90

B+C = 180

Rearrange first equation to get B = 90-A

Plug this into the second equation:

90-A + C = 180

C = A + 90

Plug in A, C = 52 + 90 = 142

Answer:

The value of function at n = 7 is 78.

Step-by-step explanation:

Given function is:

c(n) = 50 + 4n

Here,

c represents the cost monthly cost of gym

n represents the number of visits to the gym

We have to find the value of c(7).

We will put n = 7 in the function.

Thus,

c(7) = 50 + 4(7)

c(7) = 50 + 28

c(7) = 78

Hence,

The value of function at n = 7 is 78.

The value of c(7) in the function c(n) = 50 + 4n is = 78

The function is defined as follows:

c(n) = 50 + 4n

where

function c is defined by the equation above

n is the number of visit

The function gives the monthly cost in dollars.

Therefore,

The value of c(7) can be found as follows:

c(7) = 50 + 4n

c(7) = 50 + 4(7)

c(7) = 50 + 28

c(7) = 78

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