does anyone here know how to write negative 1 on there

The correct answer is option D. Since A and B are mutually exclusive events, the probability that both A and B occur is 0. In other words, P(A&B) = 0.

When two events, A and B, are mutually exclusive, it means that they cannot occur simultaneously. If one event happens, the other event cannot happen at the same time. In this scenario, the correct answer is option D, which states that the probability of both events A and B occurring together is 0, i.e., P(A&B) = 0.

To understand this concept, consider a simple example. Let's say event A represents flipping a coin and getting heads, while event B represents flipping a coin and getting tails. Since getting heads and getting tails are mutually exclusive outcomes, it is impossible for both events A and B to occur simultaneously. Therefore, the probability of both A and B occurring together is 0. In summary, when events A and B are mutually exclusive, the correct answer is option D, which states that the probability of both A and B occurring together is 0, i.e., P(A&B) = 0.

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Answer:

x = 95

Step-by-step explanation:

Given that,

The cost of a banquet at Nick's Catering is $215 plus $27.50 per person

The total cost of a banquet was $2827.50

We need to find the number of people invited. Let there are x people. So,

215+27.5x = 2827.50

27.5x = 2827.50 -215

27.5x = 2612.5

x = 95

So, there are 95 people that were invited.

The required probability is 0.2023.

Given random variable X with binomial distribution with n=150 and p=0.6.

The binomial distribution with parameters n and p has probability mass function:

$$f(x)= \begin{cases} {n\choose x} p^x (1-p)^{n-x} & \text{for } x=0,1,2,\ldots,n, \\ 0 & \text{otherwise}. \end{cases}$$

Now the mean, μ = np = 150 × 0.6 = 90 and standard deviation, σ = √(npq) = √(150 × 0.6 × 0.4) = 6

Using the normal approximation,

we have:

$$\begin{aligned}P(X ≥ 95) &\approx P\left(Z \geq \frac{95 - \mu}{\sigma}\right)\\ &\approx P(Z \geq \frac{95 - 90}{6})\\ &\approx P(Z \geq 0.8333) \end{aligned}$$

Using the standard normal table, the area to the right of 0.83 is 0.2023.

Therefore, P(X ≥ 95) = 0.2023.

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According to the given information, the required probability is 0.2019.

The random variable has a binomial distribution with n = 150 and p = 0.6.

We can use the normal approximation to the binomial distribution to find the probability P(X ≥ 95).

Normal Approximation:

The conditions for the normal approximation to the binomial distribution are:

np ≥ 10 and n(1 - p) ≥ 10

The expected value of the binomial distribution is given by the formula E(X) = np

and the variance is given by the formula [tex]Var(X) = np(1 - p)[/tex].

Let X be the number of successes among n = 150 trials each with probability p = 0.6 of success.

The random variable X has a binomial distribution with parameters n and p, i.e., X ~ Bin(150, 0.6).

The expected value and variance of X are:

[tex]E(X) = np = 150(0.6) = 90[/tex],

[tex]Var(X) = np(1 - p) = 150(0.6)(0.4) = 36[/tex].

The probability that X takes a value greater than or equal to 95 is:

[tex]P(X ≥ 95) = P(Z > (95 - 90) / (6))[/tex]

where Z ~ N(0,1) is the standard normal distribution with mean 0 and variance 1.

[tex]P(X ≥ 95) = P(Z > 0.8333)[/tex]

We can use a standard normal distribution table or a calculator to find this probability.

Using a standard normal distribution table, we find:

[tex]P(Z > 0.8333) = 0.2019[/tex]

Thus, [tex]P(X ≥ 95) = 0.2019[/tex] (rounded to four decimal places).

Therefore, the required probability is 0.2019.

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Answer:

The answer is 1/11

Step-by-step explanation:

Explanation is in the picture above

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Answer:

− 6 + 3 0 − 4

Answer:

do you mean simplify the expression?

-6x+4(-2+8y)- 2y+ 4

-6x - 8 + 32y - 2y + 4

-6x + 30y + 4 - 8

-6x + 30y - 4

The probability to consume more than 13 pizzas per month is 0.3707 and more than 110 pizzas in a random sample of size 10 is 0.9646.

The number of pizzas consumed per month by university students is normally distributed with a mean of 12 and a standard deviation of 3.

A. Probability that more than 13 pizzas consumed by students:

For finding the probability, we need to find the Z-score first.

z = (x - μ) / σz = (13 - 12) / 3z = 0.3333

Now, we have to use the z-table to find the probability associated with the z-score 0.3333.

The area under the normal distribution curve to the right of 0.3333 is 0.3707 (rounded off to 4 decimal places).

Thus, the probability that a student consumes more than 13 pizzas per month is 0.3707.

B. Probability that more than 110 pizzas consumed in a random sample of size 10:

Let x be the number of pizzas consumed in the random sample of size 10.

Then, the distribution of x is a normal distribution with the mean = 10 × 12 = 120 and standard deviation = √(10 × 3²) = 5.4772

We have to find the probability that the total number of pizzas consumed is greater than 110. i.e. P(x > 110).

For finding the probability, we need to find the Z-score first.z = (110 - 120) / 5.4772z = -1.8257

The area under the normal distribution curve to the right of -1.8257 is 0.9646 (rounded off to 4 decimal places).

Thus, the probability that more than 110 pizzas are consumed in a random sample of size 10 is 0.9646.

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Answer:

Post the question along with this

Answer:

7. 7.1+5.4+2.9=15.7

10.3+5.4=15.7

8. 373.4 - 152.9 = 220.5

373.4 - 153 = 220.4

220.4 - 0.1 = 220.5

9. 18.25 + 7.99 + 4.75 = 30.99

10. 1.05 + 3 + 4.28 + .95 = 9.28

11. 302.504

12 50.5

Answer:

Fraction form: (-1/2, 7/2) Decimal form: -.5, 3.5)

Step-by-step explanation:

use the midpoint formula of: (x1 + x2/2 , y1 + y2/2) in order to get (x,y) coordinates.

Let's call endpoint C x1 and y1. So 6=x1 and -1=y1.

This makes endpoint D x2 and y2. So -7=x2 and 8=y2.

Now plug it in and simplify!

x-coordinates: (6+-7)/2 = (6-7)/2 = -1/2 or -.5

y-coordinates: (-1+8)/2 = (8-1)/2 = 7/2 or 3.5

the midpoint of endpoints C and D is (-1/2, 7/2)

**decimal form: (-.5, 3.5)

(a) To argue that P(T < ∞) = 1, where T is the first time the walk visits 0 or N, we can consider each time the walk visits 1 before time T.

Suppose the walk visits 1 for the first time at time k < T. At this point, the random walk is in a state where it can either hit 0 before N or hit N before 0.

Let's define a new random variable Y, which represents the number of steps needed for the walk to hit either 0 or N starting from state 1. Y follows a geometric distribution with parameter p since the steps are +1 with probability p and -1 with probability q = 1 - p.

Now, we can compare the random variable T and Y. If T < ∞, it means that the walk has hit either 0 or N before reaching time T. Since T is finite, it implies that the walk has hit 1 before time T. Therefore, we can say that T ≥ Y.

By the properties of the geometric distribution, we know that P(Y = ∞) = 0. This means that there is a non-zero probability of hitting either 0 or N starting from state 1. Therefore, P(T < ∞) = 1, as the walk is guaranteed to eventually hit either 0 or N.

(b) To find P(J|So = n), where So = n, we need to determine the probability of hitting N before hitting 0 starting from state n.

Recall that the probability of hitting N before 0 starting from state 1 is given by (g/p)^(N-1), as shown in the Optional Stopping Theorem formula. In our case, since the walk starts at state n, we need to adjust the formula accordingly.

The probability of hitting N before 0 starting from state n can be calculated as P(J|So = n) = (g/p)^(N-n).

This probability takes into account the number of steps required to reach N starting from state n. It represents the likelihood of hitting the jackpot (N) before going bust (0) when the walk starts at state n.

It's worth noting that this probability depends on the values of p, q, and N.

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Answer:

8 laps in 70 seconds is faster.

Step-by-step explanation:

If we divide 70/8 and 98/12 we get the following:

70/8= 8.75

98/12=8.16

8.75>8.16

The unit rate is 1 lap in 8.75 seconds and 1 lap in 8.16 seconds

Answer:

x = 3, 2

Step-by-step explanation:

Answer: x = 3, 2

Step-by-step explanation:

Answer:

it is A

Step-by-step explanation:

i remember doing this in middle school.

Answer:

C

Step-by-step explanation:

The perimeter of the square has to be only positive values, and so there has to be restrictions on the values. We can rule out answers A and B. Because the perimeter the values of x have to be less than 4. If they were greater than 4, then 4x>16. So we can rule out answer d. The correct answer is C.

Answer:

100in

Step-by-step explanation:

1/2 *10*5=25

4(25)=100

Answer:

A x<1125

Step-by-step explanation:

-8x-2(5+4x)

Step-by-step explanation:

-8x-10-8x -8x-8x-10 -16x-10

Answer:

For real???

Step-by-step explanation:

Tysm!! <3 you deserve so much!

Answer:thanks

Step-by-step explanation:

Answer:

Step-by-step explanation:

5 boys

Answer:

me

Step-by-step explanation:

beceaus im the best Guy

Answer:

20 boys

Step-by-step explanation:

If there are 4 boys for every 3 girls, multiply both numbers by 5 (3*5 = 15) to find the number of boys.

Answer:

20

Step-by-step explanation:

4/3 = ?/15

multiply both sides by 15

15*4/3 = ?

? = 20

Answer:

The distance the hiker must travel is approximately 5.5 miles

Step-by-step explanation:

The distance between the two cell phone towers = 22.5 miles

The distance between the hiker's phone and Tower A = 14.2 miles

The distance between the hiker's phone and Tower B = 10.9 miles

The direction of the highway along which the towers are located = East to west

The direction in which the hiker is travelling to reach the highway quickly = South

By cosine rule, we have;

a² = b² + c² - 2·b·c·cos(A)

Let 'a', 'b', and 'c', represent the sides of the triangle formed by the imaginary line between the two towers, the hiker's phone and Tower A, and the hiker's hone and tower B respectively, we have;

a = 22.5 miles

b = 14.2 miles

c = 10.9 miles

Therefore, we have;

22.5² = 14.2² + 10.9² - 2 × 14.2 × 10.9 × cos(A)

cos(A) = (22.5² - (14.2² + 10.9²))/( - 2 × 14.2 × 10.9) ≈ -0.6

∠A = arccos(-0.6) ≈ 126.9°

By sine rule, we have;

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

∴ sin(B) = b × sin(A)/a

∴ sin(B) = 14.2×(sin(126.9°))/22.5

∠B = arcsine(14.2×(sin(126.9°))/22.5) ≈ 30.31°

∠C = 180° - (126.9° - 30.31°) = 22.79° See No Evil

The distance the hiker must travel, d = c × sin(B)

∴ d = 10.9 × sin(30.31°) ≈ 5.5

Therefore, the distance the hiker must travel, d ≈ 5.5 miles.

Answer:

19. B

20. C

Step-by-step explanation:

Answer:

The correct statement is B (are very sensitive to change in price)

Step-by-step explanation:

Option B is correct because of the following reason -:

The degree to which a rise in price affects the quantity demanded or supplied is known as elasticity. In the case of elastic demand and supply, as the price rises, the quantity demanded falls and the quantity supplied rises more than proportionally. Inelastic price elasticity of demand and supply, on the other hand, induces a less than proportional change in quantity as prices change.

Hence , the correct option is B .

Type I Error: A Type I error is the first kind of error that can occur when testing a hypothesis. A Type I error occurs when a null hypothesis is rejected even when it is accurate.

If we make a Type I Error on this test, it would mean that we reject a null hypothesis that is true. This mistake would be made if we made a decision to reject the null hypothesis when there is no significant evidence to support that decision. The null hypothesis is the hypothesis that claims no change or no difference between the groups being compared. Null hypothesis is the opposite of the alternative hypothesis which is the hypothesis that claims that there is a difference between groups being compared.

In this context, making a Type I Error would mean that we reject the null hypothesis which is that all groups of voters would agree that workers who have illegally entered the US should be allowed to keep their jobs and apply for US citizenship. Making this error would mean we have come to the conclusion that they do not agree, which would be incorrect.

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The remainder when f(x) = 2x3 - 12x2 + 11x + 2 is divided by x - 5 is 7.

We can use the remainder theorem to find the remainder when a polynomial is divided by a linear factor.

The remainder theorem states that the remainder when a polynomial f(x) is divided by x - a is f(a). In this case, the polynomial is f(x) = 2x3 - 12x2 + 11x + 2 and the linear factor is x - 5. So, the remainder is f(5).

To find f(5), we can simply substitute x = 5 into the polynomial. This gives us f(5) = 2(5)3 - 12(5)2 + 11(5) + 2 = 7.

Therefore, the remainder when f(x) = 2x3 - 12x2 + 11x + 2 is divided by x - 5 is 7.

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Answer: D) a rotation of 180 degrees Clockwise about the center of the parallelogram

Step-by-step explanation:

Answer:嘿，我不知道答案，但這段文字很酷

Answer:

x-intercept: (-1,0)

y-intercept: (0,3)

Vertex: (-2,-1)

Step-by-step explanation:

Answer:

3x10 15x2 5x6

Step-by-step explanation: