100 points!!! Please help!!

Answer:

its C

Step-by-step explanation:

Answer:

The equation is: 5(x+9) = 55

This basically means that five times the quantity x+9 is equal to 55.

Let me know if this helps!

Answer:

15 I think

Step-by-step explanation:

75% shure check your self to be safe

Answer:

\(Fraction = \frac{2}{15}\)

Step-by-step explanation:

Given

Wall = 30 inches

Concrete = 16 inches

Brick = 10 inches

Limestone = 4 inches

Required

Fraction of the wall that is limestone

The fraction of limestone is calculated as follows;

\(Fraction = \frac{Size\ of\ limestone}{Size\ of\ wall}\)

Substitute 4 for size of limestone and 30 for size of size of wall

The formula becomes

\(Fraction = \frac{4}{30}\)

Divide numerator and denominator by 2

\(Fraction = \frac{4/2}{30/2}\)

\(Fraction = \frac{2}{15}\)

The fraction can not be further simplified; hence, the fraction of limestone is \(\frac{2}{15}\)

Answer:

2/15

Step-by-step explanation:

Fractions can be found by dividing the part by the whole.

part/whole

In this problem, the part is the limestone portion of the wall and the whole is the total width of the wall.

limestone/total

16 inches are concrete, 10 inches are brick and 4 inches are limestone. The total width is 30 inches.

limestone = 4

total = 30

4/30

This fraction can be simplified. Both the numerator and denominator can be evenly divided by 2.

(4/2) / (30/2)

2/ (30/2)

2/15

This fraction cannot be simplified further, therefore it is our answer.

2/15 of the wall is limestone.

The exact value of the expression is -1.

The expression involves tan 25° and tan 110°. The expression you provided is:

tan 25° + tan 110° / (1 - tan 25° tan 110°)

First, we need to recognize that tan (180° - x) = -tan x. Since 110° = 180° - 70°, we have:

tan 110° = -tan 70°

Now, we can rewrite the expression as:

tan 25° - tan 70° / (1 + tan 25° tan 70°)

Next, we can apply the tangent addition formula, which is:

tan (a - b) = (tan a - tan b) / (1 + tan a tan b)

Comparing this formula with our expression, we see that a = 25° and b = 70°. So, the expression simplifies to:

tan (25° - 70°) = tan (-45°)

Since tan (-x) = -tan x, we have:

tan (-45°) = -tan 45°

Lastly, we know that tan 45° = 1, so:

-tan 45° = -1

Therefore, the exact value of the expression is -1.

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1. To find the matrix associated with the linear map F: R¹ R³, we need to find the images of the standard basis vectors. Therefore, we have:F(1,0,0,0)=(1,1,2), F(0,1,0,0)=(1,1,2), F(0,0,1,0)=(1,0,2), F(0,0,0,1)=(0,1,0).Thus, the matrix of F is:

[1  1  1  0]
[1  1  0  1]
[2  2  2  0]

2. We can find the kernel of F by finding the null space of the matrix associated with F. Thus, we want to solve the homogeneous linear system:

(1  1  1  0)(x) = 0
(1  1  0  1)(y) = 0
(2  2  2  0)(z) = 0

We can rewrite the system as an augmented matrix:

[1  1  1  0 | 0]
[1  1  0  1 | 0]
[2  2  2  0 | 0]

We can row reduce the matrix to get:

[1  1  0  1 | 0]
[0  0  1 -1 | 0]
[0  0  0  0 | 0]

From the row reduced matrix, we can see that the kernel of F is span{(1,-1,1,0)} which has dimension 1.

Therefore, the dimension of the kernel of F is 1.

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There is not evidence that the population mean waiting time is different from 3.6 ​minutes.

What is the p-value?

A statistical measurement known as a p-value is employed to check a hypothesis' validity against actual data. A p-value calculates the likelihood of getting the outcomes that were observed, presuming that the null hypothesis is correct. The statistical significance of the difference that was found increases with decreasing p-value.

From the question, we know that the size (n), the mean (x), and the standard deviation (s) of the sample are 81, 3.45 minutes and 0.9 minutes. Additionally, we are going to decide if the waiting time is different or not from 3.6 minutes, so the null and alternative hypotheses are:

H0: m=3.6

H1:  m≠3.6

Where m is the mean of the population.

Then, we don't need to be concerned about the shape of the population distribution because the value of the n is bigger than 30 and we can use the statistic z as:

\(z = \frac{x-m}{\frac{a}{\sqrt{n} } }\)

So, replacing the values, the test statistic is:

\(z = \frac{3.45 - 3.6}{\frac{0.9}{\sqrt{81} } }\)

= 2.50

On the other hand, the p-value for this test is calculated as:

p-value = 2P(z >2.50) = 2(0.0668) = 0.134

Taking into account that the p-value is bigger than the level of significance 0.01, the null hypothesis is not rejected, and there is not evidence that the population mean waiting time is different from 3.6 ​minutes.

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The expressions (a), (b), (c), (d), (e), and (f) are respectively neither, contradiction, tautology, contradiction, contradiction, and tautology.

(a) Neither - This expression can be written as ¬(p ∨ q) ∧ (q ∨ ¬p), which is neither a tautology nor a contradiction.

(b) Contradiction - This expression can be written as (p ∨ q) ∧ (p ∧ ¬q), which is a contradiction because it is equivalent to (p ∨ q) ∧ (¬p), which is a false statement.

(c) Tautology - This expression can be written as (p ∨ q) ∧ p, which is a tautology because it is equivalent to p, which is always true.

(d) Contradiction - This expression can be written as (p ∨ q) ∧ ¬p, which is a contradiction because it is equivalent to (p ∨ q) ∧ (¬p), which is a false statement.

(e) Contradiction - This expression can be written as (¬p ∨ q) ∧ (p ∧ ¬q), which is a contradiction because it is equivalent to (¬p ∨ q) ∧ (¬p), which is a false statement.

(f) Tautology - This expression can be written as (¬p ∨ q) ∧ (¬p ∨ q), which is a tautology because it is equivalent to (¬p ∨ q), which is always true.

The expressions (a), (b), (c), (d), (e), and (f) are respectively neither, contradiction, tautology, contradiction, contradiction, and tautology.

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The total area if each garden bed has a length of 4 feet is given as follows:

A = 48ft².

To calculate the numeric value of a function or of an expression, we substitute each instance of any variable or unknown on the function by the value at which we want to find the numeric value of the function or of the expression presented in the context of a problem.

The area for a bed of side length s is given as follows:

A = 3s².

Hence the total area if each garden bed has a length of 4 feet is given as follows:

A = 3 x 4² = 48 ft².

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Answer:

39m

Step-by-step explanation:

We take 1950 divided by 30 = 39m

Answer:

The area of the walls of the rectangular room is (2 * 10 * 8) + (2 * 8 * 10) - (2 * 3 * 3) - (2 * 2 * 4) = 128 - 12 - 16 = 100 m².

Therefore, the height of the room is 1950/50 = <<1950/50=39>>39 meters.

Step-by-step explanation:

The measure of the fifth interior angle is 102 degrees.

A polygon is an object with five sides. It is made up of five straight edges and 5 interior angles. The sum of interior angles is 540 degrees.

In order to determine the fifth interior angle, the sum of the four interior angles would be subtracted from  sum of interior angles in a polygon.

Fifth interior angle = 540 - (88 + 132 + 100 + 118)

= 540 - 438

= 102 degrees

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The equation of the sphere that passes through the origin and whose center is (-2, 4, 2) is: (x + 2)^2 + (y - 4)^2 + (z - 2)^2 = 36.

To find the equation of a sphere, we need the center coordinates and either the radius or a point that lies on the sphere. In this case, we are given the center of the sphere as (-2, 4, 2), and since the sphere passes through the origin (0, 0, 0), the distance between the center and the origin gives us the radius.

The distance between the two points can be calculated using the distance formula:

r = sqrt((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2

r = sqrt((-2 - 0)^2 + (4 - 0)^2 + (2 - 0)^2) = sqrt(4 + 16 + 4) = sqrt(24) = 2√6

Now, using the center (-2, 4, 2) and the radius 2√6, we can write the equation of the sphere as:

(x + 2)^2 + (y - 4)^2 + (z - 2)^2 = (2√6)^2

(x + 2)^2 + (y - 4)^2 + (z - 2)^2 = 36

Therefore, the equation of the sphere that passes through the origin and has a center at (-2, 4, 2) is (x + 2)^2 + (y - 4)^2 + (z - 2)^2 = 36.

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Answer:

3/4

Step-by-step explanation:

step 1) turn 0.75 into a fraction (0.75 = 75/100)

step 2) find the greatest common factor then divide it

75/100 ÷ 25/25 = 3/4

hope this helps, mark brainliest if im right :)

Both Cov(X,Y) and corr(X,Y) do not depend on the parameter λ.

To compute Cov(X,Y), we first need to compute E(X), E(Y), and E(XY). Since X ∼ Poisson(λ), we have E(X) = λ.

Now, let's compute E(Y). We know that Y represents the number of students on SEF, and each student chooses to follow SEF with probability p.

Therefore, Y follows a binomial distribution with parameters X and p. Hence, E(Y) = X * p.

Next, let's compute E(XY). Since X and Y are independent, we have-

\(E(XY) = E(X) * E(Y)\)

\(= λ * X * p.\)

Now, we can compute Cov(X,Y) using the formula:

\(Cov(X,Y) = E(XY) - E(X) * E(Y).\)

Substituting the values we obtained, we have-

\(Cov(X,Y) = λ * X * p - λ * X * p\)

= 0.

Moving on to compute corr(X,Y), we need to compute Var(X) and Var(Y) first.

Since X ∼ Poisson(λ), we have Var(X) = λ.

For Y, since it follows a binomial distribution with parameters X and p, we have

\(Var(Y) = X * p * (1 - p)\).

Now, we can compute corr(X,Y) using the formula:

\(corr(X,Y) = Cov(X,Y) / sqrt(Var(X) * Var(Y)).\)

Substituting the values we obtained, we have-

\(corr(X,Y) = 0 / sqrt(λ * X * p * X * p * (1 - p))\)

= 0.

Therefore, both Cov(X,Y) and corr(X,Y) do not depend on the parameter λ.

(b) Assuming that the total number of students at UChL is known to be n, we can find the joint distribution of Y, Z, and the number W of students who do not enroll in a degree program in statistical science.

Since each student independently chooses to enroll in a degree program with probability r, the number of students on SEF, Y, follows a binomial distribution with parameters n and r.

Similarly, the number of students on ES, Z, follows a binomial distribution with parameters n and (1 - r).

Hence, the joint distribution of Y and Z is given by P(Y=y, Z=z)

\(= C(n,y) * r^y * (1-r)^(n-y) * C(n-z, z) * (1-r)^z * r^(n-z),\)

Where C(n,y) represents the number of combinations of choosing y items from a set of n items.

To compute corr(X,Y), we can use the relationship that corr(X,Y) = corr(Y + Z, Y)

\(= corr(Y, Y) + corr(Z, Y) + 2 * sqrt(corr(Y, Z) * corr(Y, Y)).\)

Since Y and Z are independent, corr(Y, Z) = 0.

We already computed corr(Y, Y) in part (a), and it is 0.

Hence,

\(corr(X,Y) = corr(Y, Y) + corr(Z, Y) + 2 * sqrt(corr(Y, Z) * corr(Y, Y))\)

= 0 + 0 + 2 * sqrt(0 * 0) = 0.

Therefore, the correlation computed in this part, corr(X,Y), agrees with the correlation computed in part (a), which is also 0.

The correlation between X and Y, corr(X,Y), remains 0 regardless of the parameter values λ and r.

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Answer:

x = 4

Step-by-step explanation:

Given the equation:

\(\displaystyle{4^x - 4^0 - 255=0}\)

We know that \(\displaystyle{a^0 = 1}\) where a ≠ 0. Therefore,

\(\displaystyle{4^x - 1 - 255=0}\\\\\displaystyle{4^x - 256=0}\)

Add both sides by 256, so we have:

\(\displaystyle{4^x=256}\)

Factor 256 out:

256 = 2 x 128 = 2 x 2 x 2⁶ = 2⁸

Therefore, 256 = 2⁸.

\(\displaystyle{4^x=2^8}\)

Convert to the same base:

\(\displaystyle{\left(2^2\right)^x=2^8}\\\\\displaystyle{2^{2x} = 2^8}\)

When two sides have same base, solve the equation through exponents:

\(\displaystyle{2x=8}\)

Divide both sides by 2, so we have:

\(\displaystyle{x=4}\)

Answer

the answer would be

D(5,-2).

Answer:

D(-6, 1)

Step-by-step explanation:

To determine the solution we can start by calculating the slope of AB;

A(-1, 4), B(2, -5)

m = -5 - 4 / 2 - (-1) = -9 / 3  = -3

Then CD, if to be perpendicular, should have the 'negative reciprocal' of the slope of AB. In other words it should have a slope of 1/3. We are given point C as (3, 4) so let's take each of the given options for point D, and find the slope using the two points. If the slope is 1/3rd then that  is the correct option.

Now I already know the answer, so instead of going through all the options I will just check the slope with the correct answer choice. You will find the slope to be 1/3rd;

C(3, 4), D(-6, 1)

m = 1 - 4/- 6 - 3  = -3/-9 = 1/3rd

Correct, as you can see

So your solution is option c

Answer:

x=115°

y=65°

Hope it helped<3

x = 115° [corresponding angles]

y = 180° - x = 180° - 115° = 65° [linear pair]

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given equation for explicit formula

STEP 2: Write the given details

STEP 3: Get the explicit equation for f(n)

n = x

Substitute n for x in the equation in step 2.

Therefore, the explicit equation is given as:

STEP 4: Answer part B

To get how many lionfish in the bay after 6 years

Hence, there will be approximately 124073 lionfish

STEP 5: Get the recursive formula

1400 lionfish was removed per year, this gives an equation defined below:

Recursive formula is given as

Since we know that the difference each year is 1400, this gives the equation below:

By substitution, the recursive formula will be given by:

Since 1400 is removed each year, we have:

The probability of a sample mean more than 65 is given as follows:

0.1587 = 15.87%.

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

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

The parameters for this problem are given as follows:

\(\mu = 63, \sigma = 14, n = 49, s = \frac{14}{\sqrt{49}} = 2\)

The probability of a sample mean above 65 is one subtracted by the p-value of Z when X = 65, hence:

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

By the Central Limit Theorem

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

Z = (65 - 63)/2

Z = 1

Z = 1 has a p-value of 0.8413

1 - 0.8413 = 0.1587 = 15.87%.

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Answer:

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

Answer:

Paranthesis

Step-by-step explanation:

Remember: PEMDAS!!!

P: Paranthesis

E: Exponents

M: Multiplication

D: Division

A: Addition

S: Subtraction

Paranthesis always comes first in the PEMDAS rule, so if an equation includes paranthesis, solve the paranthesis first!!!

Answer:

The surface area is 143m

Step-by-step explanation:

(at least I think)

Answer:

20.04 is the answer lllaldjcnejchwh

An equation represent the given scenario is 4.99x=100.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Mark has a $100 gift card to buy apps for his smartphone.

Let the number of weeks be x.

Now, 4.99x=100

Therefore, an equation is 4.99x=100.

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"Your question is incomplete, probably the complete question/missing part is:"

Mark has $100 gift card to buy apps for his smartphone. Each week, he buys one new app for $4.99. Write an equation that relates.

Angle ABC is greater than angle C, as required. Given triangle ABC with AC greater than AB, and BD drawn such that AD is congruent to AB, we need to prove that angle ABC is greater than angle C.

To begin with, we can draw a diagram to visualize the situation. In the diagram, we see that BD is an altitude of triangle ABC, as well as a median since it divides the base AC into two equal parts. We also see that triangles ABD and ABC are congruent by the side-side-side (SSS) criterion, which means that angle ABD is equal to angle ABC.

Now, we can use this information to prove our statement. Since triangle ABD and triangle ABC are congruent, their corresponding angles are also equal. Therefore, we know that angle ABD is equal to angle ABC.

Next, we observe that angle ABD is a right angle, since BD is an altitude of triangle ABC. This means that angle ABC is the sum of angles ABD and CBD.

Since AD is congruent to AB, we also know that angles ABD and ADB are congruent. Therefore, angle CBD is greater than angle ADB.

Putting all of this together, we can conclude that angle ABC is greater than angle C, as required.

In summary, we have shown that given triangle ABC with AC greater than AB and BD drawn such that AD is congruent to AB, angle ABC is greater than angle C. This is because angles ABD and CBD add up to angle ABC, and angle CBD is greater than angle ADB.

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Answer: 180 degrees clockwise

Step-by-step explanation:

Answer:

y=-4

Step-by-step explanation:

The answer is going to be -4 as when y=-16 x=8.

Answer:

3:4

Step-by-step explanation:

because in a simplified ratio, it tells us that in any set of whatever number (total of 3 and 4), there will be a quantity in simplification of 3 on one side.

Answer:

A ∆ with an exterior angle :116° & two interior angles 7x+6 & 4x

The value of angle 7x+6

we know that ,

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non adjacent interior angles of the triangle.

so,

\(7x + 6 + 4x= 116 \\ 11x + 6 = 116 \\ 11x = 116 - 6 \\ 11x = 110 \\ x = 110 \div 11 \\ x = 10\)

so ,the measure of green angle would be

\(7x + 6 \\ placing \: the \: value \: of \: x \: as \: 10 \\ 7 \times 10 + 6 \\ = 70 + 6 \\ = 76\)

To verify our answer ,the sum of the resultant value of green angle and 4x should be 116°(the exterior opposite angle)

so,

\(7x + 6 + 4x = 116 \\ 7 \times 10 + 6 + 4 \times 10 = 116 \\ 70 + 6 + 40 = 116 \\ 76 + 40= 116 \\ 116 = 116 \\ \\ hence,\: verified\)

Solution:

Note that:

Simplify the equation to find x.

Substitute the value of x into the measure of the green angle.

The measure of the green angle is 76°.