Maximo can hike 2 miles in 30 minutes. At this rate, how long will it take him to
complete a 7-mile hike?

ANSWER

-40

EXPLANATION

We want to write an integer to represent the situation given:

A debit of $40.

A debit is a situation where money is taken away from an account, as opposed to adding money to the account.

Since money is taken from the account, it means that the amount is subtracted from the account.

In otherwords, we can write that the integer that represents the situation is:

-40

To calculate the probability that exactly 4 out of 5 children have type O blood, we can use the binomial probability formula.

The formula for the probability of getting exactly k successes in n independent Bernoulli trials, where the probability of success in each trial is p, is:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

In this case, we have n = 5 (5 children), k = 4 (4 children with type O blood), and p = 0.25 (probability of a child having type O blood).

Using the formula, we can calculate the probability:

P(X = 4) = (5 choose 4) * (0.25)^4 * (1 - 0.25)^(5 - 4)

        = 5 * (0.25)^4 * (0.75)^1

        = 5 * 0.00390625 * 0.75

        = 0.0146484375

Therefore, the probability that exactly 4 out of 5 children have type O blood is approximately 0.0146, or 1.46%.

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Answer:

ok but with what

Step-by-step explanation:

Answer:

i go to k12 we got the same sience class want to be pen pals? we help eachother

Step-by-step explanation:

Answer:

\(a_{33}\) = 117

Step-by-step explanation:

Answer:

A: 19/40

Step-by-step explanation:

LCD = 40

7*5=35 ->35/40

3*8=24 ->24/40

combine like terms

for simplicity, I'll use a mixed number

1 19/40

subtract your "full glass"

1 19/40 - 1 = 19/40

Answer:

9y + 2

Step-by-step explanation:

6y + 9 +3y - 7

Combine like terms:

6y + 3y + 9 - 7

9y + 2

Answer:

first group like terms

6y + 3y + 9 - 7

solve it step by step

6y + 3y =9y

slove the last part

9-7 = 2

Final answer= 9y + 2

Answer:

Step-by-step explanation:

1. 24,24,24

2. 3.1, 3.1, 3.3

1. (z+5) 8, 8, 8

2. (2x+6.8) 8.6, 8.6

Answer:

Y = W + 5yk^3 / h

Step-by-step explanation:

To make the game fair, we would need to adjust the payouts so that the expected value of playing is zero. This means that the sum of the products of each possible outcome and its probability should equal the cost to play.

Removing the payouts for rolling a 5 and 9 would both make the game fair, as these outcomes have non-zero payouts but their probabilities are relatively low. Increasing the cost to play by $1 would also make the game fair, as it would decrease the expected value of playing.

However, decreasing the cost to play by $2 would make the game less fair, as it would increase the expected value of playing. Including a payout of $6 for rolling a 7 would also make the game less fair, as it would increase the expected value of playing.

Therefore, the adjustments that would make the game fair are: removing the payouts for rolling a 5 and 9, and possibly increasing the cost to play by $1.

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Answer:

15

Step-by-step explanation:

y = 5 l -1 + 4 l

-1 + 4 = 3

3 would not become -3 because positives stay a positive in the inverse operation thing.

5 times 3 is 15

So y is 15

Answer:

if x=-1,than -1+4=3,after that we put 3 instesd of x+4,and it will be 5+3=8

To solve these questions using the Normal approximation to the Binomial distribution, we need to calculate the mean (μ) and the standard deviation (σ) for the distribution.

Given:

p = 0.1 (probability of a "Yes" outcome)

n = 1000 (number of events)

The mean (μ) is calculated as μ = np:

μ = 1000 * 0.1 = 100

The standard deviation (σ) is calculated as σ = sqrt(np(1-p)):

σ = sqrt(1000 * 0.1 * 0.9) ≈ 9.49

a. P(X < 85):

To calculate this probability, we need to find the z-score corresponding to X = 85 and then look up the corresponding probability from the standard normal distribution table.

z = (85 - μ) / σ

P(X < 85) = P(Z < z) [where Z is a standard normal random variable]

b. P(X > 110):

To calculate this probability, we need to find the z-score corresponding to X = 110 and then calculate the probability of Z being greater than that value.

z = (110 - μ) / σ

P(X > 110) = 1 - P(Z < z) [where Z is a standard normal random variable]

c. P(X/n > 0.08):

To calculate this probability, we need to standardize the proportion of "Yes" outcomes and find the z-score corresponding to the given proportion.

z = (0.08 - p) / sqrt(p(1-p)/n)

P(X/n > 0.08) = 1 - P(Z < z) [where Z is a standard normal random variable]

d. P(X/n < 0.115):

To calculate this probability, we need to standardize the proportion of "Yes" outcomes and find the z-score corresponding to the given proportion.

z = (0.115 - p) / sqrt(p(1-p)/n)

P(X/n < 0.115) = P(Z < z) [where Z is a standard normal random variable]

Using the standard normal distribution table or a statistical software, you can find the probabilities corresponding to the z-scores obtained in each case.

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The gradient of the vector field of function f(x, y, z) is (12x,2y,2z)

The term gradient of the vector in math is calculated as the vector whose components are given by the partial derivatives of the function and it can be evaluated at any given point, and the gradient represents the direction and magnitude of greatest increase of the function at that point.

Here we have given the function f(x, y, z) = 6x² + y² + z²

Now we have to calculate the gradient of the function by using the following step.

In the given question, we have identified the values of the following as,

=> x = 6x²

=> y = y²

=> z = z²

Now, in order to find the gradient of a function (which is a vector), differentiate the function with respect to each variable.

=> ∇f=(∂f/∂x, ∂f/∂y, ∂f/∂z)

Now, the value of

=> ∂f/∂x = 12x

=> ∂f/∂y = 2y

=> ∂f/∂z = 2z

Now, we have to plug in the point:

=> ∇f(x, y, z) = (12x,2y,2z)

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the value of the car decreases by 15 percent each year. This means that the value of the car decreases to 85% of its previous year's value every year.

what do you mean by term  decreases  ?

In this context, "decreases" means that the value of the car is getting smaller over time. The term "decrease" is often used in mathematics to describe a decrease in the numerical value of a quantity. In this case, the value of the car is decreasing by 15% each year, which means that its value is getting smaller by 15% of the previous year's value.

In the given question,

The given function for the value of the car is:

v(t) = P(0.85)ⁿ

Here, P is the initial purchase price of the car, and t is the time in years since the car was purchased.

To find the percent that the value of the car decreases by each year, we need to find the ratio of the decrease in value to the initial value, and express it as a percentage.

Let's consider the value of the car after one year, i.e., when t=1. The value of the car after one year is:

v(1) = P(0.85)¹ = 0.85P

The decrease in value from the initial value P is:

P - v(1) = P - 0.85P = 0.15P

Therefore, the ratio of the decrease in value to the initial value is:

(0.15P/P) = 0.15

To express this ratio as a percentage, we multiply by 100, which gives:

0.15 x 100% = 15%

Therefore, the value of the car decreases by 15% each year. This means that the value of the car decreases to 85% of its previous year's value every year.

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To approximate the area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method, we can use the following formula:

Approximate Area = Δx * [f(x1) + f(x2) + f(x3) + f(x4)]

where Δx is the width of each subinterval and xi represents the right endpoint of each subinterval.

In this case, the interval [2, 4] is divided into four equal subintervals, so Δx = (4 - 2) / 4 = 0.5.

Now, let's evaluate the function at the right endpoints of the subintervals:

f(2.5) = 1/(2.5)^2 = 0.16

f(3) = 1/(3)^2 = 0.1111

f(3.5) = 1/(3.5)^2 = 0.0816

f(4) = 1/(4)^2 = 0.0625

Substituting these values into the formula:

Approximate Area = 0.5 * [0.16 + 0.1111 + 0.0816 + 0.0625]

Approximate Area = 0.5 * 0.4152

Approximate Area = 0.2076

Therefore, the approximate area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method is approximately 0.2076.

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To know the number of data points, simply count the number of values in the data, these values are separated by a comma

Option A: 18, 91, 93, 55, 57, 18. is not correct (it has 6 data points)

Option B: 25, 26, 28, 91, 18, is not correct ( it has 5 data points)

Option C: 9, 12, 8,5, 12, 9, 7. is correct (it has 7 data points)

Option D: 7,5, 9, 11, 13, 4, 9, 18. is not correct ( it has 8 data points)

Option E: 95, 91, 87, 99, 95, 84, 77​. is correct (it has 7 data points)

Options C and E are correct

The kinematics equation s = 1/2at² can be used to determine the acceleration in the Second Law Experiment, where acceleration is calculated by measuring the time taken for the cart to move from the start point to the end point.

Let's derive how the equation is used to find the acceleration from this experiment:

Drivation of kinematics equation:

The kinematics equation is derived by integrating the acceleration function twice with respect to time (t).

Acceleration, a = d²s/dt², where s is displacement, and d²s is the second derivative of displacement with respect to time.

taking integral w.r.t time twice:

∫ a dt = ∫ d²s/dt² dt integrating once gives, v = at + C₁ (where C₁ is a constant of integration)

integrating twice gives, s = 1/2at² + C₁t + C₂ (where C₂ is a constant of integration)

Thus, the kinematics equation for an object moving with constant acceleration can be represented by

s = 1/2at² + vit + s₀,

where s is the displacement, a is the acceleration, t is time, vi is initial velocity, and s₀ is initial displacement.

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\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\begin{cases} h=4\\ k=-1\\ \end{cases}\implies y=a(~~x-4~~)^2 + (-1)\hspace{4em}\textit{we also know that} \begin{cases} x=8\\ y=3 \end{cases} \\\\\\ 3=a(8-4)^2 -1\implies 4=16a\implies \cfrac{4}{16}=a\implies \cfrac{1}{4}=a \\\\\\ ~\hfill {\Large \begin{array}{llll} y=\cfrac{1}{4}(x-4)^2 -1 \end{array}} ~\hfill\)

Answer:

w=-1

Step-by-step explanation:

A. Equation to represent the hanger is 5(x)+2=17

B. We remove two from the right to balance the left side. 5x minus 2 equals 5 x's and 17-2=15. The balances hanger represents an equation that would be 5x=15. 5 x's would be 15÷5 which would give us 5 groups of 3. 15÷5=3 so, one of the x's equals 3. So, x=3

Sorry I couldn't do C. I am so sorry... :(

Answer:

Step-by-step explanation:

A= bh/2  so your height is going to be 4 and base 6 so its going to be 12 inches squared let me know if this helped

It is reasonable to believe that the distribution of 40-yard running times is approximately normal based on the relationship between the mean, standard deviation, and minimum time.

In a normal distribution, the mean, median, and mode are equal and the distribution is symmetric. Additionally, the standard deviation provides information about the spread or dispersion of the data. If the minimum time is close to the mean and the standard deviation is relatively small, it suggests that the majority of the data points are clustered around the mean, supporting the assumption of a normal distribution.

If the mean and minimum time are close, it indicates that there is not a significant skewness in the data towards slower or faster times. This aligns with the symmetry property of a normal distribution. Furthermore, a small standard deviation suggests that the data points are concentrated near the mean, with fewer extreme values. In other words, the majority of the 40-yard running times are likely to be clustered around the mean, forming a bell-shaped curve, which is characteristic of a normal distribution.

Therefore, based on the relationship between the mean, standard deviation, and minimum time, it is reasonable to believe that the distribution of 40-yard running times is approximately normal.

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Answer:

AB = 7.28 units

Step-by-step explanation:

\(\boxed{\begin{minipage}{8 cm}\underline{Distance Formula}\\\\$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the two endpoints.\end{minipage}}\)

From inspection of the given graph:

Substitute the given points into the formula:

\(\begin{aligned}\impliesAB & =\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\\& =\sqrt{(-3-(-5))^2+(3-(-4))^2}\\& =\sqrt{(2)^2+(7)^2}\\& =\sqrt{4+49}\\& =\sqrt{53}\\ & = 7.28\; \sf units \; (nearest \: hundredth)\end{aligned}\)

The prime factorization of the number 21 is:

21 = 3*7

We want to write the prime factorization of 21.

To do so, we just need to divide the number by prime numbers.

The first prime number we can try is 2, if we divide by 2 we get:

21/2 = 10.5

This is not an integer, so 2 is not a factor.

The next one is 3:

21/3 = 7

Now we can rewrite:

21 = 3*7

Where 3 and 7 are prime numbers, so that is the prime factorization.

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To find the probability that a randomly selected patient is 0-12 years old given that the patient suffers from knee pain,

we need to use conditional probability.The conditional probability formula is:P(A|B) = P(A ∩ B) / P(B)where P(A|B) denotes the probability of A given that B has occurred. Here, A is "patient is 0-12 years old" and B is "patient suffers from knee pain".

Thus, the probability that a randomly selected patient is 0-12 years old given that the patient suffers from knee pain can be expressed as:P(0-12 years old | knee pain) = P(0-12 years old ∩ knee pain) / P(knee pain)The joint probability of 0-12 years old and knee pain can be busing the multiplication rule:P(0-12 years old ∩ knee pain) = P(0-12 years old) × P(knee pain|0-12 years old)where P(knee pain|0-12 years old) is the probability of knee pain given that the patient is 0-12 years old. We are not given this value, so we cannot calculate the joint probability.

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Answer:

9

Step-by-step explanation:

6(2)=12

12+15=27

so...

2(2)=4

4+5=9

Answer:

5.1304 x 10^14

Step-by-step explanation:

there is 10 zeros behind the decimal point plus 4 other decimal places

in a scientific notation the number has to be less then 10 but more then 1

Answer:

Eight times ten plus six times one plus two times one-tenth plus seven times one-thousandth.

Step-by-step explanation:

(8 x 10) = eight times ten

(6 x 1) = six times one

(2 x 0.1) = two times one-tenth

(7 x 0.001) = seven times one-thousandth

I am not always the best with the equations to words stuff, so please comment if I am wrong!

Answer:

(a) i believe it is $10

(b)I believe it is 98 people

Step-by-step explanation:

(a) we are trying to find "?" for this explanation. I came up with the equation 60=6 x ?. The 60 shows us the total amount of dollars that the 6 shares went down. We need to find the amount. of dollars that went down for 1 stock. So we divide 60 by 6. and get 10.

(b) we are trying to find "?" for this explanation. I came up with the equation

?=7 x 14. All you have to so is multiply 7 by 14 and you get 98.

Hope this helps :)

Answer:

Just answering so that the other person can get brainliest :)

Step-by-step explanation:

Independent and dependent variables are interdependent.

Dependent Variable: The term "dependent variable" refers to the variable that is being measured or tested in an experiment.

The results of the participants' tests, for instance, would be the dependent variable in a study looking at how tutoring affects test scores because that is what is being measured.

If you keep in mind that the dependent variable depends on the independent variable, finding it can be simpler.

This isn't the same as an experiment's independent variable, which is a variable that can stand on its own. The dependent variable (test results), however, may alter depending on the independent variable (tutoring).

The unrelated factor

Because the experimenters are allowed to change the independent variable as necessary, it is called a "independent" variable.

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To find the eigenvalues of the given matrix, we need to solve the characteristic equation. The characteristic equation is obtained by subtracting the scalar λ from the diagonal elements of the matrix and setting the determinant of the resulting matrix equal to zero.

The given matrix is:

[-8 -9

-4 k]

Subtracting λ from the diagonal elements:

[-8-λ -9

-4 k-λ]

Setting the determinant equal to zero:

det([-8-λ -9

-4 k-λ]) = 0

Expanding the determinant:

(-8-λ)(k-λ) - (-9)(-4) = 0

Simplifying:

(-8-λ)(k-λ) + 36 = 0

Expanding and rearranging:

λ^2 - (8+k)λ + 8k + 36 = 0

For the matrix to have 0 as an eigenvalue, the characteristic equation must have a solution of λ = 0. Therefore, we can substitute λ = 0 into the characteristic equation:

0^2 - (8+k)(0) + 8k + 36 = 0

Simplifying:

8k + 36 = 0

Solving for k:

k = -4.5

So, for the matrix to have 0 as an eigenvalue, k must be equal to -4.5.

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