Which of the following is true for the Probability Distribution of a random variable X ? Check all that applies. For each x,0⩽xFor each P(x),0 s P(x)≤1 The sum of all x∗P(x) is 1 The sum of all P(x) is 1

Answer:

The value of n that best fits to show the length of a fingernail as 1.2 x 10^-1 mm, which is option (a).

The population in the year 2000 is 21

The function is given as:

P(t) = 21e^0.01823t

The year 2000 is 0 years after 2000.

This means that

t = 0

So, we have:

P(0) = 21e^(0.01823 *0)

Evaluate the product

P(0) = 21e^0

Evaluate the expression

P(0) = 21

Hence, the population in the year 2000 is 21

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Answer:

56 feet

Step-by-step explanation:

14*4 = 56 feet

will be the wingspan of the actual plane

If a card is drawn from a pack of playing cards, then the probability that card is "red-king" or "4-of-diamonds" is 3/52.

There are 2 card of "red-kings" and 1 card of "4-of-diamonds" in a deck of cards. There are 52 cards in total.

So, probability of drawing a "red-king" is "2/52", because there are two "red-kings" out of 52 cards, and

The probability of drawing 1-card of "4-of-diamonds" is "1/52", because there is only 1 "4-of-diamonds" out of 52 cards,

To find probability of drawing a "red-king" or "4-of-diamonds", we add the probabilities of these two events and subtract the probability of drawing both of them, because they are not mutually exclusive,

⇒ P(red-king or 4-of-diamonds) = P(red king) + P(4 of diamonds) - P(red king and 4 of diamonds),

⇒ P(red-king or 4-of-diamonds) = 2/52 + 1/52 - 0,

⇒ P(red-king or 4-of-diamonds) = 3/52,

Therefore, the required probability is 3/52.

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To find a quadratic equation with the y-intercept and vertex, follow these steps: identify the coordinates of the y-intercept and vertex, substitute them into the general form of the quadratic equation, solve for the coefficients, and substitute the coefficients back into the equation. For example, if the y-intercept is (0, 3) and the vertex is (-2, 1), the quadratic equation would be y = x^2 + x + 3.

To find a quadratic equation with the y-intercept and vertex, we can follow these steps:

For example, let's say the y-intercept is (0, 3) and the vertex is (-2, 1). We can substitute these coordinates into the general form of the quadratic equation:

3 = a(0)^2 + b(0) + c

1 = a(-2)^2 + b(-2) + c

Simplifying these equations, we get:

c = 3

4a - 2b + c = 1

By substituting c = 3 into the second equation, we can solve for a and b:

4a - 2b + 3 = 1

4a - 2b = -2

2a - b = -1

By solving this system of equations, we find a = 1 and b = 1. Substituting these values back into the general form of the quadratic equation, we obtain the final equation:

y = x^2 + x + 3

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To find a quadratic equation with a given y-intercept and vertex, you need the coordinates of the vertex and one additional point on the curve.

Example:

Suppose we want to find a quadratic equation with a y-intercept of (0, 4) and a vertex at (2, -1).

To find a quadratic equation with a given y-intercept and vertex, you can use the vertex form of a quadratic equation and substitute the coordinates to obtain the equation. Then, use the y-intercept to find an additional point on the curve and solve a system of equations to determine the coefficients. Finally, substitute the coefficients into the standard form of the quadratic equation to get the final equation.

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The measures of central tendency of the first psychology exam in a semester are the average score, which was an 85.

The correlation coefficient and the range of scores from 95 to 65 are not measures of central tendency either.

The standard deviation is a measure of variability, not central tendency, that the measures of central tendency of the first psychology exam are the average and median scores. This states that the mode, correlation coefficient, range of scores, and standard deviation are not measures of central tendency.

Hence, the measures of central tendency for the first psychology exam in a semester are the average score (85) and the median score (80).

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The measures of central tendency for the psychology exam scores include the average, median, and mode.

The measures of central tendency of the first psychology exam in a semester include the average score, median score, and mode (most frequently occurring score).

The average score on the exam was 85, which represents the mean of all the scores.

The median score on the exam was 80, which represents the middle value when all the scores are arranged in order.

The most frequently occurring score was 82, which represents the mode of the scores.

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Answer:

see below

Step-by-step explanation:

whenever there is negative number being squared, you need to add the brackets so that you inside the - 1 in front of the number

so this step is wrong

\( \sqrt{ - 9 { }^{2} - 4(1)(20) } \)

the -9 ² , you must include the brackets to include the -1 in front of the 9

so it should be

\( \sqrt{( - 9) {}^{2} - 4(1)(20) } \)

so you will get = 1

and then you continue with other parts of the formula and you will get real solutions

hope this helps

please mark it brainliest

The value of sin(e) in the given right angle triangle DEF is 3/5

Given the Right angle DEF,

It is not specified whether angle D= angle F =90°.

Based on the alternatives presented, either base and altitude =3 or 4 and

5 is the hypotenuse.

Case 1. When ∠D=90° In Δ E D F

Sin (E) =altitude/hypotenuse

= 3/5  OR 4/5 [ if base=3, then altitude =4 and if Base =4, Altitude=3]

Case 2. When ∠F=90°, In ΔEFD

Sin (E) =altitude/hypotenuse

= 3/5 or 4/5 [Depending on whether Base =3 then altitude  =4, OR Altitude =3 , then Base =4]

Looking at all of the possibilities, 3/5 and 4/5 are accurate.

However, the solution is 3/5, so whether you pick angle D or angle F as 90°, take Altitude=3, Hypotenuse =5, and Base=4.

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Answer:

A. 3/5

Step-by-step explanation:

For right triangle, c^2 = a^2 + b^2

given c = EF = 10, a = DE = 8, b = DF

10^2 = 8^2 + DF^2

DF^2 = 100 - 64 = 36

DF = 6

sin(E) = opposite/hypotenuse = 6/10 = 3/5

The yy-component of vector a a is -y-direction, which is equal to 0 m/s2.the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.

Given a vector, a⃗ a→ = (5.0 m/s2, −y−direction)Find the yy -component of the given vector a⃗ a→.Solution: The yy-component of the given vector a⃗ a→ = -y-directionTo find the yy-component of the given vector a⃗ a→, we have to take the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.Therefore, the yy-component of vector a⃗ a→ is :a_yy = -y-direction = (-1)(0) = 0 m/s²  Answer: 0 m/s².

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The yy-component of vector a⃗ a→ is -y-direction.

The yy-component of a vector represents the magnitude of the vector in the y-direction.

In this case, the vector a⃗ a→ is given as (5.0 m/s2, −y-direction).

Since the yy-component is the magnitude in the y-direction, the yy-component of the vector a⃗ a→ is -y-direction.

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Answer:

now I will not help you later I will help you If you follow back MI and already I have follow you

Answer:

4.8 cm

Step-by-step explanation:

To find the answer, lets use the information we have. We need to find the width, or w. We know that is 2.5 times smaller than its length, and that the length is 12. So lets make an equation to solve:

12/2.5=w

We did this because we know that the length is 2.5 times bigger than the width, so to find the width we need to go 2.5 times smaller than the length, and the length is 12.

Now solve:

4.8=w

So the width of the rectangle is 4.8 centimeters.

Answer:

width = 4.8 cm

Step-by-step explanation:

let width be w then length = 2.5w

Given length = 12 cm , then

2.5w = 12 ( divide both sides by 2.5 )

w = 4.8

That is width = 4.8 cm

The value of the 4th iterate of the given function f(x) is -2.096

2nd option is correct.

A function's iterate is a function that is expressed as repetition of another (already iterated) function; this latter function may be referred to as the iterand.

Any function taken on its own is regarded as the first iteration.

A function is said to have an identity function at iteration zero.

According to the question,

f(x) = (3x-1)/\(x^{2}\)

\(x_{o}\) = -2

The first iterate is calculated by finding f(-2).

f(-2) = (3(-2)-1)/4

f(-2) = -1.75

Similarly, the next iterates are calculated as follows:

f(-1.75) = -2.048

f(-2.048) = -1.71

f(-1.71) = -2.096

Thus, the fourth iterate for the given function is \(x_{4}\)= -2.096

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Answer:

According to the standard deviation, the company should offer a warranty period that covers at least 65,895 miles to ensure that 96% of the tires sold will outlast the warranty.

To do this, we use a z-score table, which gives the probability of getting a z-score less than or equal to a given value. The z-score is a measure of how many standard deviations a data point is from the mean.

To find the z-score for the top 4% of the tires, we first subtract 96% from 100% to get 4%. Then we divide this by 2 to get 2%, as we are interested in the area under the normal distribution curve in the right tail. Using the z-score table, we find that the z-score corresponding to a 2% area under the curve is approximately 2.05.

Next, we use the formula for converting a z-score to a data value:

z = (x - μ) / σ

where z is the z-score, x is the data value, μ is the mean, and σ is the standard deviation. Solving for x, we get:

x = z x σ + μ

Plugging in the values, we get:

x = 2.05 x 2700 + 60000

x ≈ 65,895

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According to the question we have  the correct answer is option 2, with a volume of 1664 cubic units.

The volume of the solid lying under the circular paraboloid z = x^2 + y^2 and above the rectangle R = (-4, 4] x [-6, 6] can be found using a double integral. First, set up the integral with respect to x and y over the given rectangular region:

Volume = ∬(x^2 + y^2) dA

To evaluate this integral, we will use the limits of integration for x from -4 to 4, and for y from -6 to 6:

Volume = ∫(from -4 to 4) ∫(from -6 to 6) (x^2 + y^2) dy dx

Now, integrate with respect to y:

Volume = ∫(from -4 to 4) [(y^3)/3 + y*(x^2)](from -6 to 6) dx

Evaluate the integral at the limits of integration for y:

Volume = ∫(from -4 to 4) [72 + 12x^2] dx

Next, integrate with respect to x:

Volume = [(4x^3)/3 + 4x*(72)](from -4 to 4)

Evaluate the integral at the limits of integration for x:

Volume = 1664

Therefore, the correct answer is option 2, with a volume of 1664 cubic units.

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We have found two integers, m = 59 and n = −24, such that 70 × 59 + 99 × (−24) = 1.The Euclidean Algorithm to find the greatest common divisor (gcd) of two integers is explained below: By dividing the larger number with the smaller number, we obtain a quotient and a remainder.

We will then divide the small integer by the obtained remainder and repeat the process until the remainder is 0.After performing these operations, the second divisor of the final step is the gcd.

Let us now use the Euclidean Algorithm to determine gcd

(70, 99):99 = 70 × 1 + 29 (Step 1)70 = 29 × 2 + 12 (Step 2)29 = 12 × 2 + 5 (Step 3)12 = 5 × 2 + 2 (Step 4)5 = 2 × 2 + 1 (Step 5)2 = 1 × 2 + 0 (Step 6)Therefore, gcd(70,99) = 1.

Now let's figure out all of the integer solutions for 70m + 99n = 1.We can employ the Extended Euclidean Algorithm to find integer solutions. The steps are as follows:

To begin, we'll need to apply the Euclidean Algorithm to obtain gcd(70, 99), which we've already done. Next, we'll rewrite the final equation of Step 5 of the Euclidean Algorithm as follows:

1 = 5 − 2 × 2. Substitute 2 in the equation 2 = 12 − 5 × 2 to get:1 = 5 − 2(12 − 5 × 2) = 11 × 5 − 2 × 12.Substitute 5 in the equation 5 = 29 − 2 × 12 to get:

1 = 11 × (29 − 2 × 12) − 2 × 12 = 11 × 29 − 24 × 12.

Substitute 12 in the equation 12 = 70 − 2 × 29 to get:1 = 11 × 29 − 24 × (70 − 2 × 29) = 59 × 29 − 24 × 70.We have found two integers, m = 59 and n = −24, such that 70 × 59 + 99 × (−24) = 1.

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Answer:

1) AD = 9 in

2) DE = 9.25 in

3) ∠EDC = 36°

4) ∠AEB = 108°

5) 11.5 in

Step-by-step explanation:

1) AD = BC = 9in

2) AC = BD (diagonals are equal)

⇒ BD = 14.25

⇒ BE + DE = 14.25

⇒ 5 + DE = 14.25

DE = 9.25

3) Since AB ║CD,

∠ABE = ∠EDC = 36°

4) ∠ABE = ∠BAE = 36°

Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)

⇒ 36 + 36 + ∠AEB = 180

∠AEB = 108

5) midsegment = (AB + CD)/2

= (8 + 15)/2

11.5

Answer:

13

Step-by-step explanation:

12x2=24

50-24=26

26/2

13

double check

13x2=26

12x2=24

26+24=50

Hope this helps, love.

Answer:

30

Step-by-step explanation:

Add all the measures 50+35+85+65+60= 210

subtract 180 from 210 and you get

210-180 = 30

we use 180 because  Example: Angles on one side of a straight line always add to 180 degrees. 30° + 150° = 180° When a line is split into 2 and we know one angle, we can always find the other one.

Answer:

I figure you could simplify it by multiplying both sides by 6, resulting in -31+23=-30+18-1+5

-8=-8

Step-by-step explanation:

Critical value of t for testing the significance of each of the independent variable's coefficients will have 679 degree of freedom.

We are given the following parameters or data or information

"A regression analysis involved 17 independent variables", "697 observations. "

Number of observations = 697

Number of independent variables = 17

In regression, the critical value t for testing the significance of variable's coefficients has the number of degrees of freedom formula which is (number of observations) - (number of independent variables + 1).

To determine the critical value of t for testing the significance of each of the independent variable's coefficient.

Hence, the formula below will used in Calculating or in the determination of the degree of freedom;

Degree of freedom = (number of observations) - (number of independent variables + 1).

Thus, slotting bin the values into the formula above, we have;

The degree of freedom = 697 - (17 +1) = 679

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.✎let's answer it :3

question ⇩

✎ The area of a newspaper page (opened up) is about 640.98 square inches. Determine the length and width of the page if its length is about 1.25 times its width.

The area of a newspaper page (opened up) is about 640.98 square inches. Determine the length and width of the page if its length is about 1.25 times its width.The width of the page is ___ inches.

hope it helps

correct me if I am wrong

Answer:

$27.00

Step-by-step explanation:

8 : 20 = 10.80 : x

x = 20 * 10.80 / 8

x = 5 * 10.80 / 2

x = 5 * 5.40

x = $27.00

∠A = ∠C for every isosceles triangle and not only for this specific isosceles triangle.

We are given that:

AB = BC

Now, draw a angle bisector from point B to the line AC in a way that it intersects AC at D.

Now, we get that:

∠ABD = ∠CBD ( BD is the angle bisector)

BD = BD ( common line)

So, ΔABD ≅ Δ CBD ( SAS property)

So,

∠A = ∠ C ( CPCT rule)

Also, it will be true for every isosceles triangle.

Therefore, we get that, ∠A = ∠C for every isosceles triangle and not only for this specific isosceles triangle.

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Your question was incomplete. Please refer the content below:

There is an isosceles triangle with AB = BC. Prove that ∠A = ∠C.

Did we prove the conclusion true for every isosceles triangle or only for this specific isosceles triangle.

Answer:

$18,450

Step-by-step explanation:

Weekly salary = $450
This is a fixed amount regardless of whether she sells  a house or not

The house she sold last week was $225,000
Her 8% commission works out to 225,000 x 8/100

= $18,000

So total that Sharon earned last week = $18,000 + $450 = $18,450

To derive p as the result, we apply the power of a power rule by taking the square root of p.

To derive the value of p from the expression p^(1/2), we need to apply the property of exponents known as the "power of a power" rule.

The power of a power rule states that when we have an exponent raised to another exponent, we can multiply the exponents. In this case, we have p raised to the power of 1/2, which can be written as p^(1/2).

To simplify this expression and derive the value of p, we can rewrite the exponent 1/2 as a square root (√). So, p^(1/2) is equivalent to the square root of p (√p).

Therefore, to derive p as the result, we apply the power of a power rule by taking the square root of p.

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The angle between the ropes is 53°.

We are given that a barge is being towed by two tugboats using ropes. The force vectors of the two tugboats are represented by F1 and F2. A vector is an entity that has both a magnitude and a direction. The vectors are F1 = 11000i + 5000j and F2 = 14500i + -8000j. We need to find the angle between the ropes. The best method is to find the dot product. Let the angle between the ropes be θ. We can say that cos(θ) = F1.F2/(|F1|*|F2|) = (11000*14500 + 5000*-8000)/[√[(11000)² + (5000)²] * √[(14500)² + (-8000)²]] = (11*14.5 + 5*-8)/[√[(11)² + (5)²] * √[(14.5)² + (-8)²]] = 119.5/[√146*√274.25] = 119.5/200.1 = 0.597. So, the value of θ is 53°.

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Answer:

x = 54/7 y= -4/7

Step-by-step explanation:

Answer:

x = 54/7 and y = -4/7

Step-by-step explanation:

x+3y=6

4x-2y=32

= 4 ( x+3y=6 )

= 4x +12y = 24 - 4x -2y = 32

=14y = -8

y = - 4/7

X + 3(-4/7) = 6

x+-12/7 = 6

x = 54/7

To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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ANSWER

EXPLANATION

We want to find the solution to the system of equations given, using the graph.

On a graph, the solution of a system of equations is the point where the lines of the two equations intersect one another. This means that the ordered pair made up of the x and y coordinates of the point where the two lines meet is the solution to the system of equations.

Therefore, going by that, the solution to the given system of equations is: