What is the solution to the system of equations below

9514 1404 393

Answer:

  y -9

Step-by-step explanation:

From 4 years ago until 5 years from now, John will age 9 years. That is, his age 4 years ago is 9 years less than it will be in 5 years.

John's age 4 years ago is y-9 years.

Answer:

-2/3

Step-by-step explanation:

A rational number is a number that can be expressed by a fraction so when y add to fractions it’s a rational number.

Answer:

f(x) = 2(3) + 5

= 6 + 5 = 11

y = 11

x = 3

hope it helps.

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Answer:

B) reject the null hypothesis.

Step-by-step explanation:

Vertically opposite angles are equal.

So,

(11y - 36)° = 63°

=> 11y - 36 = 63

Answer:

11y-36=63

Step-by-step explanation:

use the concept of vertically opposite angle

Answer:

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Answer:

we conclude that population mean is not 11.5

Step-by-step explanation:

The hypothesis :

H0 : μ = 11.5

H1 : μ ≠ 11.5

The test statistic :

(xbar - μ) ÷ (s/√(n))

Test statistic = (12 - 11.5) ÷ (2/√(16))

Test statistic = (0.5) ÷ (2 ÷ 4)

Test statistic = 0.5 / 0.5

Test statistic = 1

The Pvalue from test statistic value, df = n - 1 = 16 - 1 = 15

Pvalue = 0.333

Pvalue > α ; we fail to reject the null ; Hence, we conclude that population mean is not 11.5

Answer:

Step-by-step explanation:

A=45

Answer:

Should be 5 1/2 if thats on there

Step-by-step explanation:

u take 11/2 and take out the 1 u get 10/2 so u cut 10 in half get 5 then add the one and make it 5 1/2

Tina's sample may not be valid, because the average number of people in a state is approximately 6.3 million. Her survey was just carried out in her neighborhood and not in the entire state, so we cant judge a state with just a neighborhood.

A neighborhood is a place, district, community that is within a town or city. it can be said to be the area of place that is close or that surrounds an individual.

A state is a territory or place that has a government that is in charge of an organized political community.

In conclusion, Tina's sample may not be valid

Learn more about neighborhood :https://brainly.com/question/6322160

#SPJ2

Answer:

Step-by-step explanation:

[tex]30\% \: \: as \: fraction[/tex]

Answer:

Step-by-step explanation:

- joonie

Answer: 49 cherry tomatoes.

Step-by-step explanation:

7 x

— = — cross multiply and done.

15 105

Answer:

626.968

Step-by-step explanation:

EMDAS rule

Answer:

Step-by-step explanation:

Interesting question

They form at right angles. The reason is the highways meet at right angles is that the United States does something really interesting and well thought out with its highway system.

The odd numbers run North and South

The even numbers run East and West.

So I-75 runs North and South

I-80 runs East and West.

They will, when they meet, form a right angle. This works for the interstates, but there a system for the intrastates as well.

I wish Canada would do something like that.

Answer:

0.9036

Step-by-step explanation:

Calculation to determine the probability that the proportion of Labradors

P(Proportion greater than 4%)

= P(z> 0.04 -0.05 /√0.05 * 0.95/806

= P(z > -1.30)

=0.9036

Thereforethe probability that the proportion of Labradors is =0.9036

Answer:

1. A = 3/12

B= 4/12

C = 5/12

2......

3. Randy

Step-by-step explanation:

3+4+5 = 12

therefore there are 12 letters in the box

we can say that there are 3/12 A's in the box and do the same for the remaining letters

question two does not make sense

3. the person who has the lowest fraction in value which is A

Answer:

[tex]200oz[/tex]

Step-by-step explanation:

The question says that there are [tex]50[/tex] portions that are [tex]4oz[/tex] each.

Write an equation

[tex](50)4oz[/tex]

Simplify

[tex]200oz[/tex]

Answer: The Third Graph/ C

Step-by-step explanation:

Answer:

D: {-20, -13, 1, 6}

R: {-20, -8, 11, 13}

Step-by-step explanation:

Given the relation, {(–20, 11), (6, –8), (1, –20), (–13, 13)}, all x-values (inputs) make up the domain of the relation while all y-values make up the range of the relation.

Therefore:

Domain: {-20, -13, 1, 6}

Range: {-20, -8, 11, 13}

Answer:

so the measure of both angle is 24°

Step-by-step explanation:

original angle = 48°

so since its bisected the both angles are equal and let the angles be x

so,

x + x = 48°

2x = 48°

x = 48°/2

so, x = 24°

Answer:

hole at x=-3

Step-by-step explanation:

The hole is the discontinuity that exists after the fraction reduces. (Still doesn't exist for original of course)

The discontinuities for this expression is when the bottom is 0. x^2-9=0 when x=3 or x=-3 since squaring either and then subtracting 9 would lead to 0.

So anyways we have (x+3)/(x^2-9)

= (x+3)/((x-3)(x+3))

Now this equals 1/(x-3) with a hole at x=-3 since the x+3 factor was "cancelled" from the denominator.

Answer:

0.2301 = 23.01% probability that exactly 2 don't grow.

Step-by-step explanation:

For each seed planted, there are only two possible outcomes. Either it grows into a healthy plant, or it does not. The probability of a seed growing into a healthy plant is independent of any other seed, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

90% chance of growing into a healthy plant.

This means that [tex]p = 0.9[/tex]

12 seeds are planted

This means that [tex]n = 12[/tex]

What is the probability that exactly 2 don't grow?

So 12 - 2 = 10 grow, which is [tex]P(X = 10)[/tex]. Then

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 10) = C_{12,10}.(0.9)^{10}.(0.1)^{2} = 0.2301[/tex]

0.2301 = 23.01% probability that exactly 2 don't grow.

Answer:

a. A normal quantile plot of the data follows a diagonal line, and the t-procedure is appropriate to use.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question:

Sample size of 100 > 30, which means that we use the Central Limit Theorem, and thus, the sampling distribution is approximately normal, following a diagonal line, and since the standard deviation of the population is not know, we use the t-procedure. Thus, the correct answer is given by option a.

Answer:

Difference = 3.2 km/h

Step-by-step explanation:

Given that,

Lena drives 24 miles in 1.5 hours. Ras drives 36 km in 1 hour 15 min.

For average speed of Lena,

d = 24 miles = 38.4 km

t = 1.5 h

[tex]v=\dfrac{38.4}{1.5}= 25.6\ km/h[/tex]

For average speed of Ras,

d = 36 km

t = 1h 15 min = 1.25 h    

[tex]v=\dfrac{36}{1.25}=28.8\ km/h[/tex]

Difference = 28.8-25.6

= 3.2 km/h

So, the difference between their average speed is 3.2 km/hr.

Answer:

3.2 km/h

Step-by-step explanation:

Answer:

Step-by-step explanation:

3=$2.91

22=x

3x=64.02

x=21.34

Answer:

480 gallons.

Step-by-step explanation:

Given that in a mixture of 240 gallons, the ratio of ethanol and gasoline is 3: 1, if the ratio is to be 1: 3, to find the quantity of gasoline that is to be added the following calculation must be performed:

240/4 x 3 = Ethanol

240/4 = Gasoline

180 = Ethanol

60 = Gasoline

0.25 = 180

1 = X

180 / 0.25 = X

720 = X

720 - 180 - 60 = X

480 = X

Therefore, 480 gallons of gasoline must be added if the ratio is to be 1: 3.

Answer:

0.38 = 38% probability that it is neither red nor blue​.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

100 cars.

Of those, 28 + 34 = 62 are either blue or red.

100 - 62 = 38 are neither blue of red.

What is the probability that it is neither red nor blue​?

38 out of 100, so:

[tex]p = \frac{38}{100} = 0.38[/tex]

0.38 = 38% probability that it is neither red nor blue​.

First simplify all polynomials and rewrite them in descending exponent order.

1. [tex]-x^2+2x[/tex]

2. [tex]x^3-4x^2[/tex]

3. [tex]-2x^2+2x+3[/tex]

Now observe the terms with highest exponents in each expression, in particularly focus on their exponent value,

[tex]-x^2[/tex] with value of 2

[tex]x^3[/tex] with value of 3

[tex]-2x^2[/tex] with value of 2

The value is also known as order of polynomial and it is a way to classify polynomials.

Every order creates a family of polynomials determined by the order (which is always greater than -1)

A polynomial such as (1) and (3) have an orders of 2, which is often called quadratic order and thus the polynomials (1), (3) are classified in the same family of quadratic polynomials, these are polynomials with order of 2.

Polynomial (2) however has an order of 3, which is called cubic order. This polynomial (2) is classified in the family of cubic polynomials.

There are of course many other families, in fact, infinitely many of them because you have order 0, 1, 2, 3, and so on there are precisely [tex]\aleph_0+1[/tex] read as "aleph 0 + 1" (the number of natural numbers + 1 (because 0 is not a natural number)) of polynomial families.

The first few have these fancy names, for example:

order 0 => constant polynomial

order 1 => linear polynomial

order 2 => quadratic polynomial

order 3 => cubic polynomial

order 4 => quartic polynomial

and so on.

Hope this helps!