1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Semmy [17]
3 years ago
5

If x= -3, and -3 = y, then what can be said about the relationship between x and y? Explain

Mathematics
2 answers:
ella [17]3 years ago
7 0

I'd say that the relationship between y and x is that they're both equivalent to each other, since -3 = -3.

34kurt3 years ago
5 0

Answer:

I'd say that the relationship between y and x is that they're both equivalent to each other, since -3 = -3.

Step-by-step explanation:


You might be interested in
Christopher's back yard is in the shape of a trapezoid. The bases of his back yard are 30 and 40 feet long. The area of his back
quester [9]

Answer:

15 feet

Step-by-step explanation:

525 = ½(30+40)h

525 = 35h

h = 525/35

h = 15 feet

4 0
3 years ago
A study was conducted and two types of engines, A and B, were compared. Fifty experiments were performed using engine A and 75 u
USPshnik [31]

Answer:

a) -6 mpg.

b) 2.77 mpg

c) The 95% confidence interval for the difference of population mean gas mileages for engines A and B and interpret the results, in mpg, is (-8.77, -3.23).

Step-by-step explanation:

To solve this question, we need to understand the central limit theorem, and subtraction of normal variables.

Central Limit Theorem

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

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 \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Gas mileage A: Mean 36, standard deviation 6, sample of 50:

So

\mu_A = 36, s_A = \frac{6}{\sqrt{50}} = 0.8485

Gas mileage B: Mean 42, standard deviation 8, sample of 50:

So

\mu_B = 42, s_B = \frac{8}{\sqrt{50}} = 1.1314

Distribution of the difference:

Mean:

\mu = \mu_A - \mu_B = 36 - 42 = -6

Standard error:

s = \sqrt{s_A^2+s_B^2} = \sqrt{0.8485^2+1.1314^2} = 1.4142

A. Find the point estimate.

This is the difference of means, that is, -6 mpg.

B. Find the margin of error

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

M = zs = 1.96*1.4142 = 2.77

The margin of error is of 2.77 mpg

C. Construct the 95% confidence interval for the difference of population mean gas mileages for engines A and B and interpret the results(5 pts)

The lower end of the interval is the sample mean subtracted by M. So it is -6 - 2.77 = -8.77 mpg

The upper end of the interval is the sample mean added to M. So it is -6 + 2.77 = -3.23 mpg

The 95% confidence interval for the difference of population mean gas mileages for engines A and B and interpret the results, in mpg, is (-8.77, -3.23).

8 0
2 years ago
12x -20=n (3x-5)<br><br> I need help I don’t get it please help me.
Salsk061 [2.6K]

Answer:

The value of n = 4 and  

The value of x = \frac{5}{3}

Step-by-step explanation:

Method I:

As given, 12x -20=n (3x-5)      .........(1)

Firstly , take 12x - 20

As 12x - 20 can be written as 4(3x - 5)

∴ equation (1) becomes

4(3x - 5) = n (3x-5)

Divide the equation by (3x-5) , we get

4 = n

Method II:

As given, 12x -20=n (3x-5)

⇒12x - 20 = 3nx - 5n

⇒12x - 3nx = 20 - 5n

⇒3x(4 - n) = 5( 4 - n)

Divide the equation by (4-n) , we get

3x = 5

⇒ x = \frac{5}{3}

∴ we get

n = 4 and  x = \frac{5}{3}

Now, check that value of n and x satisfies the equation or not

12(\frac{5}{3}) - 20 = 4( 3(\frac{5}{3}) - 5)

⇒4(5) - 20 = 4(5 - 5)

⇒20 - 20 = 4(0)

⇒ 0 = 0

Hence , we get

The values of x and n satisfies the equation

so, we get

n = 4 and  x = \frac{5}{3}

5 0
3 years ago
The store is selling lemons at $0.58 each. Each lemon yields about 2 tablespoons of juice. How much will it cost to buy enough l
avanturin [10]

Answer:

$4.64

Step-by-step explanation:

1 cup = 16 tablespoons

\frac{1}{2} cup = 8 tablespoons

Each lemon yields about 2 tablespoons of juice. You need 8 tablespoons for one lemon pie, so you need 8\div 2=4 lemons for one pie and 4\times 2=8 lemons for two pies.

The store is selling lemons at $0.58 each, hence, 8 lemons will cost

\$0.58\times 8=\$4.64

3 0
3 years ago
A pet store can put no more then 5 fish in each tank. What is the least number of tanks the store needs to hold 354 fish?
Vlada [557]
70.8 fish tanks. Because you have to divide 354 by 5.
8 0
3 years ago
Other questions:
  • The sum of two numbers is 38 . the smaller number is 16 less than the larger number. what are the numbers?
    9·1 answer
  • What is a fraction has both a negative denominator and numerator?
    12·1 answer
  • Use the substitution method to solve each system of equations. Write the answer in ordered pairs.
    9·1 answer
  • Sophia currently has an account balance of $1,347.11. her initial deposit on the account was $843 and earns 2.3% simple interest
    10·1 answer
  • When rounding to the nearest hundred, which of the following numbers round to 400?
    7·2 answers
  • If Noelle has 4 more quarters than dimes and they have a combined value of 380 cents​
    7·1 answer
  • Brayden is selling lemonade in glasses that hold 1/12 of a gallon. If he makes 2 7/8 gallons of lemonade, which expression shows
    15·1 answer
  • Garrett buys lunch for himself and his friend. He buys 2 sandwiches, 2 fries, and 2 malts. How much did Garrett spend on lunch?
    9·1 answer
  • Which expression represents a positive number? A. -9.8 x (-23.5) B. 9.8 x (-23.5) C. 23.5 x (-9.8) D. -23.5 x 9.8
    14·2 answers
  • What is the length of the longest possible laser beam he could send rounded to the nearest tenth of an inch?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!