6(1+x)+x=-14
Please help solve for x

|0.4552| < 1.96, we fail to reject the null hypothesis that p₁ = p₂.

Therefore, at the 0.05 significance level, there is not enough evidence to conclude that the proportions of success in the two samples are significantly different.

To find the standardized test statistic (z) to test the hypothesis that p₁ = p₂, where p₁ and p₂ are the proportions of success in two independent samples, we can use the following formula:

z = (p₁ - p₂) / √(p * (1 - p) * ((1/n₁) + (1/n₂)))

where:

p₁ and p₂ are the sample proportions of success in the two samples.

p = (x₁ + x₂) / (n₁ + n₂) is the pooled proportion of success in both samples.

n₁ and n₂ are the sample sizes of the two samples.

x₁ and x₂ are the number of successes in the two samples.

Given the sample statistics:

n₁ = 50, x₁ = 35 (sample 1)

n₂= 60, x₂ = 40 (sample 2)

First, calculate the pooled proportion (p):

p = (x₁ + x₂) / (n₁ + n₂)

p = (35 + 40) / (50 + 60)

p = 75 / 110

p ≈ 0.6818

Now, calculate the standardized test statistic (z):

z = (p₁ - p₂) / √(p * (1 - p) * ((1/n₁) + (1/n₂)))

z = (35/50 - 40/60) / √(0.6818 * (1 - 0.6818) * ((1/50) + (1/60)))

z = (0.7 - 0.6667) / √(0.6818 * 0.3182 * (0.02 + 0.0167))

z = 0.0333 / √(0.1456 * 0.0367)

z = 0.0333 / √(0.00534272)

z = 0.0333 / 0.073068

z ≈ 0.4552

Now, compare the standardized test statistic (z) with the critical value at α = 0.05. Since this is a two-tailed test, the critical value is approximately ±1.96 (at a 5% significance level).

Since |0.4552| < 1.96, we fail to reject the null hypothesis that p₁ = p₂.

Therefore, at the 0.05 significance level, there is not enough evidence to conclude that the proportions of success in the two samples are significantly different.

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Answer:

(0, 14)

Step-by-step explanation:

The point (0, -2) is 8 spaces away from the reflection line of y = 6, so just count 8 spaces up from the reflection line.

:)

Answer: 4

Step-by-step explanation: because he needs to divided by 2

Answer:

The average rate of change is (f(3)-f(0))/3=(7-0)/3=7/3.

Step-by-step explanation:

Answer:

slope is 3

Step-by-step explanation:

hope this helps

Answer:

I think -3x

Step-by-step explanation:

As its going 3 units down each time

Answer:

The line x = 3 is simply a vertical line that passes through every single point where x is equal to 3.

One that is is parallel and passes through (-4, 7) will be in the same format, just with another number.  The given point has an x-coordinate of -4, so the line is:

x = -4

Answer: y=3/4x+2

Step-by-step explanation: Slope = rise/run. Rise = 3 and run = 4. So slope = 3/4. y -intercept ( or also called b in the equation) is where the line crosses the y-axis. It crosses at 2, so b=2.

The expected amount of time until the ant returns to its starting vertex is 2.5 minutes.

Vertex in math is the point at which two lines, curves, or edges meet. In the case of a triangle, for example, the vertex is the point where all three lines meet. In higher dimensional shapes, such as a parallelogram, it is the point at which all the lines meet. Vertex can also be used to refer to the highest point of a graph, or the point of maximum or minimum value.

The expected amount of time until an ant returns to its starting vertex after traversing the edges of a tetrahedron can be calculated by applying the principle of expected value. The expected value of a random variable is the sum of the probability of each outcome multiplied by its associated value.
In this case, the ant has four possible outcomes, with each outcome being the length of time it takes to traverse the edge to an adjacent vertex. Since the ant has an equal probability of going to each vertex, each outcome has a probability of 0.25. Thus, the expected value can be calculated as:
Expected Value = (1 minute x 0.25) + (2 minutes x 0.25) + (3 minutes x 0.25) + (4 minutes x 0.25)
Expected Value = 2.5 minutes
Therefore, the expected amount of time until the ant returns to its starting vertex is 2.5 minutes.

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Complete questions as follows-
an ant starts at one vertex of a tetrahedron. each minute it walks along a random edge to an adjacent vertex. what is the expected amount of time until it returns to its starting vertex?

Answer:

A

Step-by-step explanation:

Image A shows a rotation.  B is a translation.  C is a reflection.

The odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.

Since Jenny won a charity raffle, and her prize will be randomly selected from the 9 prizes shown below, and the prizes include 7 rings, 1 camera, and 1 headset, to find the odds against Jenny winning a headset, and find the odds in favor of Jenny winning a headset, the following calculations must be performed:

· 1 headset out of 9 total prizes

· 1/9 = headset

· 1/9 x 100 = 11.11%

· 100 - 11.11 = 88.89%

Therefore, the odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.

Based on the annuities calculated, he should choose option 1.

Present value = $35,000 + (Annuity amount * Present value of an ordinary annuity of $1)

= $35,000 + ($9,400 * (5%,6))

= $35,000 + ($9,400 * 5.07569)

= $35,000 + 47,711

= $82,711

Present value = (Annuity amount * Present value of an ordinary annuity of $1)

= $17,700 * (5%,6)

= $17,700 * 5.07569

= $89,840

Alex should choose Option 1

Future value annuity = Annuity amount * Future value of an ordinary annuity of $1

= $180,000 * (6%,10)

= $180,000 * 13.1808

= $2,372,544

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We will see that the expected values are:

For an event with n outcomes {x₁, x₂, ..., xₙ} each one with probability {p₁, p₂, ..., pₙ}, the expected value is:

\(EV = \sum x_i*p_i\)

So here we have 3 outcomes:

a) So the expected value is:

EV = $200/500 + $20*(5/500) + $0*(494/500)  = $0.60

b) If one ticket costs $3, to get the new expected value we just need to subtract $3 to the one we got above because you are paying $3 to get the ticket.

EV = $0.60 - $3 = -$2.40

So in this case we have a negative expected value.

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Answer:

The answer is C because they have the same coefficient and variable on both sides (or something like that but its definitely c )

Answer:

1. Rational

2. Irrational

3. Irrational

4. Irrational

5. Rational

Step-by-step explanation:

I am not 100% this is correct, but I tried my best

Hope this helps!

~PurpleMist

Answer:

(-1,4)

Step-by-step explanation:

to find out we just fill in the values to see if it’s true

(x,f(x))

4=-1^2+3

4=1+3

4=4

True

-4=-1^2+3

-4=1+3

-4=4

Not true

-4=1^2+3

-4=1+3

-4=4

Not true

-1=-4^2+3

-1=16+3

-1=19

Not true

Hopes this helps please mark brainliest

Answer: \(\sqrt[5]{27}\), fifthroot(27) [according to your picture, I think there will be no space between fifth and root]  

Step-by-step explanation:

concept to know: any exponent that is performed in fraction, the numerator will be the real exponent for the base, while the denominator will be the root

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

\(27^{\frac{1}{5}\)

This has 1 as the numerator and 5 as the denominator.

1 can be ignored because any number to the 1 power is equal to itself.

5 is the root for 27

\(\sqrt[5]{27}\)

Hope this helps!! :)

Please let me know if you have any question

Answer:

1

5

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If a+b=8, b+c=10 and c+a=12, what is the value of a+b+c?

Answer

12

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Patrick Ivers, former mathematics & English instructor

Answered June 26, 2018

If a+b=8, b+c=10 and c+a=12, what is the value of a+b+c?

The puzzle is solved by defining each variable in terms of another variable & a number & then making substitutions. Begin by taking each sum to define one of the variables in terms of the other. (Different combinations are available, but I’ll follow the a,b,c order.)

a+b=8 becomes a=8-b

b+c=10 becomes b=10-c

c+a=12 becomes c=12-a

Now subtract two of the equations that contain the same variable. I’ll pick two that contain an a: c+a =12 & a+b=8. Subtracting the latter from the former eliminates the “a”s, leaving c-b=4. Adding b to both sides to isolate c gives c=b+4. From above we can take b=10-c to substitute for b in c=b+4, giving us c=(10-c) + 4). Simplify the right side to c=14-c, add c to both sides, giving 2c=14, & then divide both sides by 2 to obtain c=7.

Replace the c in b=10-c with 7 to

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Related Answer

Paul K. Young, Former PhD candidate in Mathematics

Answered September 28, 2016

If A = B and B = C, does A = C?

In mathematics = is assumed to be a transitive relationship. Transitivity means precisely what you stated: A = B and B = C implies A = C.

While it’s possible to use = to represent a non-transitive relationship this would be considered an abuse of notation. A ~ B or R(A, B) would be a better way to express the relation in this case.

Similar assumptions are made about operators like + and *. + is generally assumed to be commutative, whereas * can be used for noncommutative operations like matrix multiplication. E.g. A * B != B * A.

Equality in programming is another story entirely.

In many languages = is the assignment operator and == is the equality operator. Assignment is not transitive - it’s not even a relation.There are cases where the equality operator doesn’t define a transitive relation.

Answer:

Yes, the correct answer is $6.50..

Step-by-step explanation:

Stacy earns $6.5 per hour.

Multiplication is the process of adding a number up to a given number.

Given that Stacy worked 6 hours each day for 6 days

The total number of hours Stacy worked is 6×6=36 hours

Therefore, Stacy earned $234 for 36 hours

$234 = 36 hours

$234/36 = 1 hour

$6.5 = 1 hour

Hence, Stacy earns $6.5 per hour.

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Answer:

The reason why -2^2=-4 and (-2)^2=4 is due to the rules of mathematical operations and the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

According to the order of operations, when you have an expression with multiple operations, you must perform the operations in a specific order. Exponents come before multiplication and division, and before addition and subtraction.

So, when evaluating -2^2, you first evaluate the exponent, which is 2. However, the negative sign in front of the 2 is not part of the exponent, but rather an arithmetic operation. Therefore, the expression is equivalent to -(2^2), which is equal to -4.

On the other hand, when evaluating (-2)^2, the parentheses indicate that the negative sign is part of the base, so you must first evaluate the base, which is -2, and then apply the exponent of 2. This gives you (-2)^2 = 4.

Step-by-step explanation:

The minus in (-2)^2 is enclosed in parentheses, so it is also squared:

minus × minus = plus

And talking about this one: -2^2, the minus is not included in the parentheses, that's why we only square the number (2 in this case) and keep the minus in front of it

I hope this will help...

The number that makes the statement is -5.8 + 6.8 = 1 > 0 so, the statement is -5.8 + 6.8 = a positive number is true statement.

The number that makes the statement is,

Based on given conditions , formulate,

-5.8+ _     = a positive number

Let us assume,

We can take positive number is '1'

Then, we can write,

⇒ 1 - (-5.8)

We can negative sign and negative signs are shows to positive sign,

⇒ 1 + 5.8

We can sum or difference in the product,

⇒ 6.8

Hence,

⇒ -5.8 + 6.8

⇒ 1

So, 1 is positive number.

Then,  -5.8 + 6.8 = 1 > 0

Therefore, The number that makes the statement is -5.8 + 6.8 = 1 > 0 so,

-5.8 + 6.8 = a positive number.

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Answer:

9

Step-by-step explanation:

E(X) = np

E(X) = (15) (0.6)

E(X) = 9

The mean of the X is 9.

The mean of a binomial distribution is the expected value (long-run average) of the number of successes in the given number of trials.

\(\mu_{x} = n.p\)

where,

\(\mu_{x}\) is the mean of the binomial distribution

n is the number of trials

and, p is the probability of success

According to the given question.

We have

Number of trials, n = 15

Probability of success, p = 0.6

Therefore, the mean of X is given by

\(E(X) = 15(0.6)\)

⇒ \(E(X) = 9\)

Hence, the mean of the X is 9.

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Answer:

The set is not a basis. It is not linearly independent and doesn't span the given vector space

Step-by-step explanation:

Let u = (1,0,3), v = (-3,1,-7) and w=(5,-1,13). We want to check if the set {u,v,w} is a basis for \(\mathbb{R}^3\). By definition, a basis is a linearly independent set that spans the vector space. So, if it is a basis, it automatically is linearly independent and spans the whole space. Since we have 3 vectors in

\(A=\left[\begin{matrix}1 & -3 & 5 \\ 0 & 1 & -1 \\ 3 & -7 & 13 \end{matrix}\right]\)

which is the matrix whose columns are u,v,w. To check that the set {u,v,w} is linearly independent,it is equivalent to check that the row-echelon form of A has 3 pivots.

The step by step calculation of the row-echelon form of A is ommited. However, the row-echelon form of A is

\(A=\left[\begin{matrix}1 & 0 & 2 \\ 0 & 1 & -1 \\ 0 & 0 & 0 \end{matrix}\right]\)

In this case, we have only 2 pivots on the first and second column. This means that the columns 1,2 of matrix A are linearly independent. Hence, the set {u,v,w} is not linearly independent, and thus, it can't be a basis for \(\mathbb{R}^3\). Since it is not a basis, it can't span the space.

Answer:

She can't buy 4 pencils and 3 erasers.

Step-by-step explanation:

$1.00 × 3 = $3

$2.50 × 3 = $7.5

$7.5 + $3 = 10.5

She can't because when you times ($2.50 × 3) + $3 = you get 10.5

Which would be the budget.

Answer: The small side is 11, and the other two are 55, 55,

Step-by-step explanation:

So the perimeter adds up to 121 inches.

we know that two of the sides are 5x the 3rd side while being congruent.

11 times 5=55. 55 times 2=110. 110+11=121

Answer:

The third side is 11 inches

the 2 equal sides are 55 inches each side.

Step-by-step explanation:

X + 2(5x) = 121

x + 10x = 121

11x = 121

x = 121/11

x = 11

Answer:

A

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

252 divided by 18 = 14

hope this helps! :D

$3,244.21 can be withdrawn each month for 25 years, assuming an interest rate of 7% and a starting principal of $500,000.

PV = PMT × [1 - (1 + r)⁻ⁿ] / r

where:

PV is the present value of the annuity

PMT is the payment amount per period

r is the interest rate per period

n is the total number of periods

In this case, we want to withdraw a fixed amount each month for 25 years, which represents 12 ×25 = 300 periods.

The interest rate per period is 7% / 12 = 0.5833%.

Let's assume that you want to withdraw a fixed amount each month, and you want the withdrawals to last for 25 years. To calculate the amount you can withdraw each month,

PV = PMT × [1 - (1 + r)⁻ⁿ] / r

500,000 = PMT × [1 - (1 + 0.005833)⁻³⁰⁰] / 0.005833

Solving for PMT, we get:

PMT = PV × r / [1 - (1 + r)⁻ⁿ]

PMT = 500,000 × 0.005833 / [1 - (1 + 0.005833)⁻³⁰⁰]

PMT = $3,244.21

Therefore, you can withdraw $3,244.21 each month for 25 years, assuming an interest rate of 7% and a starting principal of $500,000.

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The expression for the given word phrase is

46M + M² + 2 + 1/M²

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number = M

Reciprocal of M = 1/M

Now,

46 x (M + 1/M)²

Step 1:

46M + M² + 2 + 1/M²

Thus,

The expression is 46M + M² + 2 + 1/M²

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When a distribution has three or more peaks then it is said to be a multimodal distribution .

In histograms, there are often three types of distributions which are classified according to the number of peaks that they have . A unimodal distribution would be a histogram that has a single peak in its distribution .

Then there are binomial distributions which boast of having two peaks , Then finally, there is the multimodal distribution which is for all distributions with either three peaks, or more than that .

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Answer:

6th Hour

Step-by-step explanation:

27t+38=200 Write your equation

27t+38=200 Subract 38 from both sides

     -38   -38

27t=162         Divide both sides by 27

—— ——

27    27

t=6

The required, within 6 hours there were 200 people entered in the stadium.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
To evaluate the hour for which there were 200 people entered the stadium, put f(t) = 200 in the given expression,
200 = 27t + 38
27t = 200 - 38
t = 162/27
t = 6

Thus, the required, within 6 hours there were 200 people entered in the stadium.

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