Discrete random variable, x, can be any whole number greater than or equal to 1 . Its probability mass function is f(x)= 2 x
1
​
. A) P(x=2)= B) P(x≤3)=

Answer:

6.8

Step-by-step explanation:

when rounding 6.781 rounds up to 6.8 hence it is closer to 6.8

꧁________________________________꧂

1.)Which is 6.781 closer to, 6.7 or 6.8?

꧁________________________________꧂

Answer:

5x+3y-1475=0

Step-by-step explanation:

if this helps please mark brainliest <3

Answer:

\((x-4)^2+(y+1)^2=29\)

Step-by-step explanation:

We want to find a circle whose diameter has the endpoints (6, 4) and (2, -6).

Since this is the diameter, its midpoint will be the center of the circle. Find the midpoint:

\(\displaystyle M=\left(\frac{6+2}{2}, \frac{4+(-6)}2}\right)=(4, -1)\)

So, the center of our circle is (4, -1).

Next, to find the radius, we can find the length of the diameter and divide it by half.

Using the distance formula, find the length of the diameter:

\(\begin{aligned} d&=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\ &=\sqrt{(2-6)^2+(-6-4)^2}\\\\&=\sqrt{(4)^2+(-10)^2}\\\\&=\sqrt{116}\\\\&=2\sqrt{29}\end{aligned}\)

So, the radius will be:

\(\displaystyle r=\frac{1}{2}d=\frac{1}{2}\left(2\sqrt{29}\right)=\sqrt{29}\)

The equation for a circle is given by:

\(\displaystyle (x-h)^2+(y-k)^2=r^2\)

Substitute:

\((x-4)^2+(y+1)^2=29\)

Answer:

c = b/2 - 6

Step-by-step explanation:

let 'b' = amount Bo has

let 'c' = amount Craig has

c = b/2 - 6

Answer:

Answer: Rocket distance (rocket sled) =3 mil Time Taken=6seconds

Average Speed=Total Distance ÷ Time Taken. Average speed= 3÷ 6=1/2. So therefore average speed in miles per seconds= Average in miles/seconds

Average speed in miles per seconds=1/2

Average in miles/hour = Average speed in miles per seconds/hour.

Average in miles/hour=1/2÷60=30

Therefore Average speed in miles per hour =30 miles per hour

Answer: X=147

Step-by-step explanation:

33+114= 147

two angles added together equals x

x=147

Answer: Percentage increase is 87.02%.

Explanation: Percentage increase is calculated by subtracting the value in 2012 from the value of exports in 2011 and then dividing it by the value in year 2011.

a. Subtract value in 2012 from value in 2011

b. Divide the answer in part a by value in 2011.

c. Multiply the answer in part b by 100.

We have the percentage increase.

mark brainliest pls

Occasional sightings of melanistic tigers add to the diversity and intrigue of the tiger population in Melghat.

Melghat Tiger Reserve, located in Maharashtra, India, is home to several types of tigers. The reserve primarily houses the Indian tiger, also known as the Bengal tiger (Panthera tigris tigris). The Bengal tiger is the most common subspecies of tiger found in India and is known for its distinctive orange coat with black stripes.

In addition to the Bengal tiger, Melghat Tiger Reserve is also known to have occasional sightings of the rare and elusive Melanistic tiger, commonly known as the black panther. Melanistic tigers have a genetic condition called melanism, which causes an excess of dark pigment and results in a predominantly black coat with faint or invisible stripes.

It's important to note that while the reserve primarily consists of Bengal tigers, occasional sightings of melanistic tigers add to the diversity and intrigue of the tiger population in Melghat.

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Answer:

Down below

Step-by-step explanation:

37 degrees is an acute angle, 105 degrees is an obtuse angle, 76 degrees is an acute angle, 147 degrees is an obtuse angle, 169 degrees is an obtuse angle, 89 degrees is an acute angle, 15 degrees is an acute angle, 179 degrees is an obtuse angle, 180 degrees is a straight angle, 205 degrees is a reflex angle, 360 degrees is a full circle, and 90 degrees is a right angle.

Hope this helps!  :)

Answer:

S=2t

or

T=1/2 S

Answer:

1314.110429

Step-by-step explanation:

:)

Step-by-step explanation:

5miles=8km

so, x miles=32km

8x=160

x= 160÷8

=20miles

Answer:

hope this helps

Step-by-step explanation:

The expression for V(t), the value of Rick's snowmobile, in dollars, after t years can be given by:

V(t) = $10,500 * (1 - 0.14)^t

Simplifying this expression, we get:

V(t) = $10,500 * 0.86^t

So, the required expression for V(t) is:V(t) = 10,500 * 0.86^t

Answer:

If y = f(g(x)), then as per chain rule the instantaneous rate of change of function 'f' relative to 'g' and 'g' relative to x results in an instantaneous rate of change of 'f' with respect to 'x'. Hence, the derivative of y will be given as, y' = f'(g(x)).

Step-by-step explanation:

If y = f(g(x)), then as per chain rule the instantaneous rate of change of function 'f' relative to 'g' and 'g' relative to x results in an instantaneous rate of change of 'f' with respect to 'x'. Hence, the derivative of y will be given as, y' = f'(g(x)).

The values of log5, log3, and log19 are not provided, we cannot determine the exact value of log57 without this information.

We can use the logarithm properties to find the value of log57 given that log75 is 0.83.

One of the logarithm properties states that:

log(a * b) = log(a) + log(b)

Using this property, we can express log57 in terms of log75:

log57 = log(5 * 3 * 19)

Now, we can use the fact that log75 is 0.83 to find log5, log3, and log19, and then add them together to get the value of log57:

log57 = log(5 * 3 * 19)

log57 = log5 + log3 + log19

However, since the values of log5, log3, and log19 are not provided, we cannot determine the exact value of log57 without this information.

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The equation:log_7(5) = 0.69897 / 0.84510Now divide to get the value of log_7(5):log_7(5) ≈ 0.82706So, if log75 = 0.83, then log57 ≈ 0.827.

To find log57 using the given information log75 = 0.83, we can use the change of base formula:  

if log75 = 0.83, then log57 ≈ 0.827. To find log57 using the given information log75 = 0.83, we can use the change of base formula:log_b(a) = log_c(a) / log_c

Here, we want to find log57 (log_7(5)) using the given information log75 (log_5(7)).

We can rewrite the change of base formula as:log_7(5) = log_x(5) / log_x(7)We know that log_5(7) = 0.83,

so we can substitute this value into the equation:log_7(5) = log_x(5) / 0.83

Now we can use any common base, like base 10 or base e, to find the value of log_7(5). Let's use base 10:log_7(5) = log_10(5) / log_10(7)Now

we can calculate the values of log_10(5) and log_10(7) using a calculator:log_10(5) ≈ 0.69897log_10(7) ≈ 0.84510

Now substitute these values back into the equation:log_7(5) = 0.69897 / 0.84510Now divide to get the value of log_7(5):log_7(5) ≈ 0.82706So, if log75 = 0.83, then log57 ≈ 0.827.

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Answer:

i think the first one but im not sure

im sorry if its wrong

Step-by-step explanation:

i'm kind of sure it's -4.7

The dimensions of the rectangular figure is width of 34.5 meters and length of 141 meters.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represents the width (in meters) of the figure, and y represents the length (in meters). Hence:

y = 4x + 3

4x - y = -3    (1)

Also:

2x + 2y = 351    (2)

From both equations:

x = 34.5, y = 141

The dimensions of the rectangular figure is width of 34.5 meters and length of 141 meters.

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Answer:

C - fifty-eight fourths

Step-by-step explanation:

The first rule of PEMDAS that applies is exponents. Square roots are considered exponents, as you can rewrite them as exponents. So, first, simplify all of your square roots and exponents.

\(\frac{\sqrt{36} *3^{2}-\sqrt[3]{-64} }{2^{2} }\)

Becomes...

\(\frac{6 *9-(-4)}{4}\)

Then, do your multiplication.

\(\frac{54+4}{4}\)

Now, a common mistake is to do division next. But, since there is an addition sign connecting 54 and 4, you must do that operation first. Think of it like:

\(\frac{(54+4)}{4}\)

Thus, your final answer is:

\(\frac{58}{4}\)

The fraction equivalent to the expression \(\dfrac{\sqrt{36}\times3^2 - \sqrt[3]{-64} }{2^2}\) is \(\dfrac{58}{4}\). So, the third option, \(\dfrac{58}{4}\), is correct.

An expression is a combination of numbers, symbols, mathematical operations, and so on. These are used in various mathematical areas such as algebra, calculus, geometry, etc.

To solve the numerator, the concept of PEMDAS is used. Firstly, all squares, square roots, and cube roots are simplified, then the operation "multiplication" is done following which subtraction is executed.

\(\dfrac{\sqrt{36}\times3^2 - \sqrt[3]{-64} }{2^2} = \dfrac{6\times9- (-4)}{4}\)

                             \(=\dfrac{54+4}{4}\\=\dfrac{58}{4}\)

The third option is correct, i.e., the expression \(\dfrac{\sqrt{36}\times3^2 - \sqrt[3]{-64} }{2^2}\) is simplified to fifty-eight-fourths, i.e., \(\dfrac{58}{4}\).

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The complete question is as follows:

Evaluate \(\dfrac{\sqrt{36}\times3^2 - \sqrt[3]{-64} }{2^2}\).

(i) one-fourths

(ii) thirty-fourths

(iii) fifty-eight-fourths

(iv) seventy-eight-fourths.

Answer:

\(=\pm i\sqrt{66}\)

Step-by-step explanation:

So we have:

\(\pm\sqrt{-66}\)

This is the same as:

\(=\pm\sqrt{66\cdot-1}\)

Separate:

\(=\pm\sqrt{66}\cdot\sqrt{-1}\)

Replace the second term with i:

\(=\pm i\sqrt{66}\)

The square root of 66 cannot be simplified.

So, this is our answer :)

The probability between these two z-scores to be 0.95. In other words P(z₁ < Z < z₂) = 0.95

What is probability?

Probability is a branch of mathematics that deals with the study of random events or phenomena. It is the measure of the likelihood that an event will occur or not occur, expressed as a number between 0 and 1, where 0 represents impossibility and 1 represents certainty.

To find the value of n in the first calculation, we need to determine the sample size that results in a probability of 0.95 for the interval (68.52 < X < 70.48).

For a normal distribution, we can calculate the z-scores corresponding to the given values of X using the formula:

z = (X - μ) / (σ / √n)

where μ is the population mean, σ is the population standard deviation, and n is the sample size.

Given:

μ = 69.5 inches

σ = 3 inches

For the lower bound, X = 68.52 inches:

z₁ = (68.52 - 69.5) / (3 / √n)

For the upper bound, X = 70.48 inches:

z₂ = (70.48 - 69.5) / (3 / √n)

We want the probability between these two z-scores to be 0.95. In other words:

P(z₁ < Z < z₂) = 0.95

We can convert this probability to the standard normal distribution using the z-table or calculator. The z-table gives the area to the left of the z-score, so we can calculate:

P(Z < z₂) - P(Z < z₁) = 0.95

Now, we can look up the z-scores in the standard normal distribution table and find their corresponding probabilities. Let's assume the values to be Z₁ and Z₂.

P(Z < Z₂) - P(Z < Z₁) = 0.95

Now, substitute the values of Z₁ and Z₂ using the calculated z-scores:

P(Z < z₂) - P(Z < z₁) = 0.95

By solving this equation, we can determine the value of n.

For the second calculation, we need to find the probability that at least 25 out of 100 randomly chosen American men are shorter than 68 inches. We can approximate this probability using the normal approximation to the binomial distribution.

Let Y be the number of Americans shorter than 68 inches among the 100 randomly chosen men. The probability of Y can be approximated using the normal distribution with mean (np) and standard deviation (sqrt(np(1-p))), where n is the sample size and p is the probability of success in a single trial.

In this case, n = 100 and p is the probability that a randomly chosen American man is shorter than 68 inches. To calculate p, we need to find the area to the left of 68 inches in the normal distribution with mean 69.5 inches and standard deviation 3 inches.

Once we have the values of np and (np(1-p)), we can use the normal distribution to find the probability that at least 25 men are shorter than 68 inches by calculating:

P(Y >= 25) = 1 - P(Y < 25)

We can use the calculated mean and standard deviation to approximate this probability using the normal distribution.

Hence, the probability between these two z-scores to be 0.95. In other words P(z₁ < Z < z₂) = 0.95

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Answer + Step-by-step explanation:

10 × 5 × 2

= 10 × (5 × 2)   (associative property)

= 10 × (10)

= 10 × 10

= 100

Answer:

7 x (24 + 36)

Step-by-step explanation:

Answer:

7 x (24 + 36)

Step-by-step explanation:

Brainliest?

Answer:

4$

Step-by-step explanation:

First, you have to subtract 2 dollars for his sister.

Then, you are left with 12 dollars. If he splits it equally into three groups, then the answer is 4, as you divide 12/3

Answer:

A

Step-by-step explanation:

The y intercept is 2. The slope is -3.

Only A & C have negative slopes. So B & D are immediately eliminated.

A is the only one with a slope of -3. From the y-intercept, go down 3 and to the right 1. The only one that matches that is A.

Yes, if a null hypothesis is rejected at the 0.02 level of significance, it could also be rejected at the 0.08 level of significance.

A null hypothesis (H0) is a statement that supposes there is no variation between the populations or no correlation between the variables being examined. The null hypothesis is rejected or not rejected based on the results of the statistical test. This rejection shows that the test results suggest that the null hypothesis is incorrect or invalid.

A level of significance is a numerical value that determines the likelihood of rejecting the null hypothesis. If the probability of an occurrence happening is less than the level of significance, the null hypothesis can be rejected. Therefore, if a null hypothesis is rejected at a higher level of significance, it can also be rejected at a lower level of significance.

If a null hypothesis is rejected at the 0.02 level of significance, it means that there is a small chance of getting the result by chance or coincidence. If the null hypothesis is rejected at a 0.08 level of significance, it implies that there is a greater chance of getting the result by chance or coincidence. Thus, if the null hypothesis is rejected at the 0.02 level of significance, it could also be rejected at the 0.08 level of significance.

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The time it took him to wash the car last week than this week is 1 / 2 hours.

Theo washed 6 cars last week. He washed each car in 3 / 4 hours. He washed the same cars this week in 2/3 hour each using his new pressure sprayer.

Therefore, the time he took to wash the car last week than this week can be calculated as follows:

Hence,

time to wash the cars last week = 3 / 4(6)

time to wash the cars last week = 18 / 4 hours

time to wash the cars this week = 2  / 3(6)

time to wash the cars this week = 12 / 3

time to wash the cars this week = 4 hours

Therefore,

time longer last week than this week = 18 / 4 - 4

time longer last week than this week = 1 / 2

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Answer:

x=2

Step-by-step explanation:

7x=14

divide by 7 on each side to get x by itself

x=14/7

x=2

The area bounded by the circle =2 and the rays =5, and = is 4π/3 square units.

To compute the area bounded by the circle =2 and the rays =5, and = as an integral in polar coordinates, we can use the formula:

A = (1/2)∫[b,a] r² dθ

where r is the polar radius, and a and b are the angles where the rays intersect the circle.

Since the circle has a radius of 2, we have r = 2 for the equation of the circle. We also know that the rays intersect the circle at angles π/3 and 5π/3 (or 2π/3 and 4π/3 in the standard position).

Therefore, we have:

A = (1/2)∫[2π/3,4π/3] (2)² dθ
A = 2∫[2π/3,4π/3] dθ
A = 2(4π/3 - 2π/3)
A = 2(2π/3)
A = 4π/3

So, the area bounded by the circle =2 and the rays =5, and = is 4π/3 square units.

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