Put the steps in order that are used to solve the following systems of equations by substitution.
-7x - 2y
2y
= x= 2 (-4) +11 → x = 3
x
-
=
= - 13
11
= x - 2y = 11 → x = 2y + 11
=y=-4
= -7 (2y + 11) - 2y = -13
= (3,-4)
= -16y = 64
= -16y - 77 = -13
= -14y-77-2y = -13

Answer:

16.5

Step-by-step explanation:

hence the answer is 16.5 feet

The answer's are A and D!

Let me know if I'm right please!

Answer:

Q=7x+1, R=-6x-1

Step-by-step explanation:

 7x + 1

 ----‐----------------------------

 x² + 1 | 7x^3 + x^2 + x

 -) 7x^3 +7x

---‐---‐----------------------------

 x^2 -6x

 -) x^2 +1

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

 -6x-1

Answer: Take 3326 and divide by 3

Step-by-step explanation: This will check to see if her answer is correct or not. If 3326 is divided by 3 and gets 842 then her answer is correct!

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3326 ÷ 3 = 1108.666667

Take the answer 3326, and divide it by 3, and we should get 842:

3326 ÷ 3 = 1108.666667

It does not equal 842.

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These three expressions

6x ÷ 6 = 20 ÷ 6

6x + 5 = 20 + 5

6x − 1 = 20 − 1

will be equal to the given expression.

Operators, constants, and variables all come together to form an expression. A value can be produced by an expression using one or more operands and zero or more operators.

We have to check which equation will be equal to 6x = 20

6x ÷ 6 = 20 ÷ 6

After Multiplying both sides by 6.

We get, 6x = 20

6x ÷ 6 = 20 ÷ 20

After simplifying we get,

x = 1

Multiplying both sides by 6

6x = 6, Hence it doesn't satisfy.

6x + 5 = 20 + 5

Subtract 5 both sides of the equation

We get, 6x = 20

6x − 1 = 20 − 1

Adding 1 both sides of the equation,

We get, 6x = 20

6x × 6 = 20 × 20

After simplifying, we get

36x = 400

Hence, only

6x ÷ 6 = 20 ÷ 6

6x + 5 = 20 + 5

6x − 1 = 20 − 1

will be equal to the given expression.

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Answer: 1+1

Step-by-step explanation:

I not giving

The probability of obtaining between 56 and 73 tails, inclusive will be approximately 0.8561.

To approximate the resulting binomial distribution, we will use the normal distribution as an approximation when certain conditions are met.

The number of trials, n, is large n = 130.

The probability of success, p, is not too close to 0 or 1

Then the coin is fair, so p = 0.5.

We have to calculate the probability of obtaining between 56 and 73 tails, inclusive.

Mean (μ) = n x p = 130 x 0.5 = 65

Standard Deviation (σ) = √(np (1 - p))

(σ) = √(130 x 0.5 x 0.5) ≈ 5.7

Using a standard normal distribution, we can determine the z-scores corresponding to 56 and 73 tails:

z1 = (56 - μ) / σ ≈ (56 - 65) / 5.7

≈ -1.58

z2 = (73 - μ) / σ ≈ (73 - 65) / 5.7

≈ 1.40

P(56 ≤ x ≤ 73) ≈ P(-1.58 ≤ z ≤ 1.40)

Now we can determine these probabilities and subtract them.

P(-1.58 ≤ z ≤ 1.40) ≈ 0.9155 - 0.0594

P(-1.58 ≤ z ≤ 1.40) ≈ 0.8561

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Answer:

Below

Step-by-step explanation:

Start with point (3,5) slope (5/3) form:

(y-5) = 5/3 (x-3)        expand

y-5 = 5/3 x -5          re-arrange by adding 5 to both sides

y = 5/3 x                    done!

1) Probability that Exactly 2 have used their phones to access the Internet is; P(X = 2) = 0.2759

2) Probability that more than 2 have used their phones to access the Internet is; P(X > 2) = 0.1798

3) Probability that at least 8 have used their phones to access the Internet is; P(X ≥ 8) = 0.00001

4) Probability that no more than 5 have used their phones to access the Internet is; P(X ≤ 5) = 0.99862

The binomial probability is defined as the probability of exactly x successes on n repeated trials, with p probability.

The formula for binomial probability distribution is;

P(X = x) = nCx * p^(x) * (1 - p)^(n - x)

Where;

P(X = x) = binomial probability

x = number of times for a specific outcome within n trials

nCx = number of combinations

p = probability of success on a single trial

q = probability of failure on a single trial

n = number of trials

1) We are given;

p = 15% = 0.15

n = 10

Thus;

P(X = 2) = 10C2 * 0.15^(2) * (1 - 0.15)^(10 - 2)

P(X = 2) = 0.2759

2) Probability that more than 2 have used their phones to access the Internet is;

P(X > 2) = P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)

Using binomial probability calculator, we have;

P(X > 2) = 0.1798

3) Probability that at least 8 have used their phones to access the Internet is;

P(X ≥ 8) = P(X = 8) + P(X = 9) + P(X = 10)

Using binomial probability calculator, we have;

P(X ≥ 8) = 0.00001

4) Probability that no more than 5 have used their phones to access the Internet is;

P(X ≤ 5) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

P(X ≤ 5) = 0.99862

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Answer:

The two equivalent ratios of 4:5 are 8:10 and 12:15.

Step-by-step explanation:

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The eigenvalues and associated unit eigenvectors of the symmetric matrix the smaller eigenvalue has associated unit eigenvector is Ax = λx.

Symmetric matrix:

In algebra, symmetric matrix a square matrix that remains unaltered when its transpose is calculated.

Given,

Here we need to find the the eigenvalues and associated unit eigenvectors of the symmetric matrix the smaller eigenvalue has associated unit eigenvector and the larger eigenvalue has associated unit eigenvector.

Here the eigenvector is a vector that is associated with a set of linear equations.

And in the eigenvector of a matrix is also known as a latent vector, proper vector, or characteristic vector.

Therefore, those are defined in the reference of a square matrix.

So, the smaller eigenvalue has associated unit eigenvector is Ax is λx.

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Answer:

hope this will help you

The margin of error corresponding to the 95% confidence interval for a sample mean constructed from a sample of size 53 is 7.94.

Margin of error is defined as the degree of the sampling errors in statistics. It can be calculated using the formula below.

MOE = z x (SD / √n)

where MOE = margin of error

z = found by using a z-score table

SD = sample standard deviation = 29.5

n = sample size = 53

At 95% confidence level, the area in each tail of the standard normal curve is 2.5, and the cumulative area up to the second tail is 97.5.

(100 - 95) / 2 = 2.5

100 - 2.5 = 97.5

Find 0.975 in the z-table to get the value of z.

At p = 0.975, z = 1.96

Plug in the values to the formula and solve for the margin of error.

MOE = z x (SD / √n)

MOE = 1.96 x (29.5/√53)

MOE = 7.94

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The joint probability mass function of N1 and N2 for the given transistors is 1/15.

For the stated question-

N1: The number of tests conducted before the first flaw is found = 2/6.

N2: The number of tests that must be performed before the second problem is found = 1/5.

If N1 = 1 and N2 = 1, then

P(N1 = 1; N2 = 1) = 2/6 x 1/5

P(N1 = 1; N2 = 1) = 2/30

P(N1 = 1; N2 = 1) = 1/15

Thus, joint probability mass function of N1 and N2 for the given transistors is 1/15.

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Using the empirical rule, about 99.7% of the scores lie between 75 to 93

In this question, we have been given ms. wilson's science test scores are normally distributed with a mean score of 84 (μ) and a standard deviation of 3 (σ).

We know that the empirical rule predicts that 99.7% within the first three standard deviations (µ ± 3σ).

An empirical rule is also known as 68-95-99.7 rule.

We find the interval (µ ± 3σ)

The upper value would be,

µ + 3σ

= 84 + 3(3)

= 84 + 9

= 93

and the lower value would be,

µ - 3σ

= 84 - 3(3)

= 84 - 9

= 75

Therefore, about 99.7% of the scores lie between (75, 93)

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Based on the image given above, the angles that are numbered can be classified as:

∠1 and ∠2: vertical angles

∠3 and ∠4: adjacent angles

Angles that share the same vertex and also the same side, are said to be angles that lie next to each other which are called adjacent angles.

For example, the angles in the image given that are numbered as 3 and 4, share the same vertex and a common side. Therefore, they are adjacent angles.

If two angles are formed to lie directly opposite to each other when two lines intersect at a point, the angles share a common point but do not share a common side. These set of angles are called vertical angles.

For example, in the image given, angles 1 and 2 are vertical angles.

Therefore, the angles would be classified as:

Angles 1 and 2: vertical angles

Angles 3 and 4: adjacent angles

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Answer:

3 and 4 are adjacent angles, and 1 and 2 are vertical angles.

Step-by-step explanation:

vertical angles are across from each other while adjacent is next to each other. the other person's explanation is better than mine though. :')

Answer: No

Step-by-step explanation:

Because 1 2/4 = 6/4 = 3/2 or 1.5

When the other one is a negative fraction which is very obviously that 1 2/4 is greater than -2/3

Answer: 1 2/4 is greater than -2/3

Step-by-step explanation: A positive number is always greater than a negative number, even when dealing with fractions

The correct equation is Option A which states that x+16 = 70. The reason for this is opposite angles (or vertical angles) in parallel lines are congruent.

When two lines intersect they form a pair of opposite or vertical angles. In this case, the vertical angles are:

70° ≅  t

p ≅ s

q ≅ (x +16)°

r ≅ u

Given that lines AB and CD are parallel, and that both cut through lines EF, that means q ≅ 70°

Hence,

∡ ApE = 70° = ∡DrF

If we need to find x

Since DrF (x+16) °= 70°

x = 54°

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Answer:

[tex]y = 3.48(1.32)^{x}[/tex]

Step-by-step explanation:

8 = ab^3

42 = ab^9

b = 1.32

[tex]\frac{8}{(1.32)^{3} } =\frac{a(1.32)^{3} }{(1.32)^{3} }[/tex]

a = 3.48

Answer:

[tex]y = 3.48(1.32)^{x}[/tex]

Answer:

720

Step-by-step explanation:

100/5 = 20, so 20 tires made in 1 hour and 20 x 36 would be 720 so answer is 720

As the population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year and according to that it will take 63.36 years to double the population.

A population is the complete set group of individuals, whether that group comprises a nation or a group of people with a common characteristic. In statistics, a population is the pool of individuals from which a statistical sample is drawn for a study.

According to the question:

We have been given that the population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year.

A) Since we know that population increases exponentially, therefore we will use our given information to form an exponential model for population increase and then we will solve for the time by which our population will be double.

P(t) = [tex](1.011)^{t}[/tex]

⇒ [tex]7.1[/tex] × [tex]2 = 7.1 (1.011^{t}[/tex]

⇒ [tex]\frac{7.1 * 2}{7.1} = 1.011^{t}[/tex]

⇒ [tex]1.011^{t}[/tex] = 2

Now let us solve for t using logarithm.

[tex]ln(2) = ln(1.011)^{t}[/tex]

⇒ ln(2) = t . ln(1.011)

⇒ 0.6931471805599 = t × 0.0109399400383

⇒ t = 0.0109399400383/ 0.6931471805599

⇒ t = 63.3593217

⇒ t ≈ 63.36

Therefore, it will take 63.36 years the population to be double.

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Answer: 19/21>8/9

Step-by-step explanation:

common denominator is 63

19*3=57 so thats 57/63

8*7=56 so thats 56/63

Answer:

9⁶

Step-by-step explanation:

[tex]\dfrac{9^2}{9^{-4}} = 9^2 9^{4} = 9 ^ {(2 + 4)} = 9^6[/tex]

Reciprocal of a number raised to exponent is the same as the number raised to the negative of the original exponent

So
[tex]\dfrac{1}{9^{-4}} \text{ becomes } 9^4[/tex]

Answer:

Step-by-step explanation:

Answer:

5a=8+2

5a=10/:5

a=2

it is okay?

The equation to represent the relationship between n, the number of times she visits the coffee shop, and b, the total balance on her gift card is b = - 3.75n + 50

Mia has $50 on a gift card to her favourite coffee shop. Each time she visits the coffee shop she spends $3.75 on her favourite drink.

The equation to represent the relationship between n, the number of times she visits the coffee shop, and b, the total balance on her gift card can be represented as follows:

Therefore,

Hence, the equation is as follows;

b = - 3.75n + 50

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The total number of possible dinner combinations are 15

What are Combinations?

The number of ways of selecting r objects from n unlike objects is calculated by combination. The formula for combination is

ⁿCₓ = n! / ( ( n - x )! x! )

where

n = total number of objects

x = number of choosing objects from the set

Given data ,

Let the total number of dinner combinations be = T

Now ,

The values of Starters is represented in set = A

The values of Entree is represented in set = B

The values of Set A = { bread sticks , soup , salad }

The values of Set B = { beef , fish , chicken , shrimp , pork }

Now , the total combinations of possible selection of Starters = ³C₁

The total combinations of possible selection of Entree = ⁵C₁

So , the total number of dinner combinations T = total combinations of possible selection of Starters x total combinations of selection of Entree

And , the equation is

The total number of dinner combinations T = ³C₁ x  ⁵C₁

The total number of dinner combinations T = 3 x 5

The total number of dinner combinations T = 15

Therefore , the value of T is 15

Hence , The total number of possible dinner combinations are 15

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