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
never [62]
3 years ago
5

2x+2y= 24 x=3y What is the value of x+y?

Mathematics
1 answer:
natita [175]3 years ago
5 0

Answer:

x = 9

y = 3

Step-by-step explanation:

2x + 2y = 24 is the same as x + y = 12

using substitution, x = 12-y

12 - y = 3y

12 = 4y

y = 3

x = 3(3)

x = 9

You might be interested in
A postage box should weigh 1.0 pound. If there is a 5% error on the weight, what is the range of acceptable weight?
Nadya [2.5K]

Answer: 0.95

Step-by-step explanation: 1.0 and 10% is 0.10 so 5% is 0.5 and if u take 0.5 away from 1.0 it’s 0.95

7 0
3 years ago
Many major-league baseball pitchers can throw the ball at 90 miles per hour. At that speed, how long does it take a pitch to tra
Nadya [2.5K]

To solve this problem, we must first convert the distance into miles:

distance = 60 ft (1 mile / 5280 ft) + 6 inches (1 foot / 12 inches) (1 mile / 5280 ft)

distance = 0.0114583 mile

 

To calculate for time:

time = distance / speed

time = 0.0114583 mile / (90 miles / 3600 seconds)

time = 0.458 seconds

<span>time = 0.46 seconds</span>

7 0
2 years ago
Read 2 more answers
What are the factors of the equation (y-2)(x+3)
aksik [14]

Answer:

2 and 3 are factors

Step-by-step explanation:

because factors are the number added and the product is the answer

8 0
3 years ago
Volume is the total number of cubic units contained inside a three-dimensional figure.
Tasya [4]
What I think is true!!
7 0
2 years ago
Suppose a continuous probability distribution has an average of μ=35 and a standard deviation of σ=16. Draw 100 times at random
yulyashka [42]

Answer:

To use a Normal distribution to approximate the chance the sum total will be between 3000 and 4000 (inclusive), we use the area from a lower bound of 3000 to an upper bound of 4000 under a Normal curve with its center (average) at 3500 and a spread (standard deviation) of 160 . The estimated probability is 99.82%.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

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 sums, we have that the mean is \mu*n and the standard deviation is s = \sigma \sqrt{n}

In this problem, we have that:

\mu = 100*35 = 3500, \sigma = \sqrt{100}*16 = 160

This probability is the pvalue of Z when X = 4000 subtracted by the pvalue of Z when X = 3000.

X = 4000

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

By the Central Limit Theorem

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

Z = \frac{4000 - 3500}{160}

Z = 3.13

Z = 3.13 has a pvalue of 0.9991

X = 3000

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

Z = \frac{3000 - 3500}{160}

Z = -3.13

Z = -3.13 has a pvalue of 0.0009

0.9991 - 0.0009 = 0.9982

So the correct answer is:

To use a Normal distribution to approximate the chance the sum total will be between 3000 and 4000 (inclusive), we use the area from a lower bound of 3000 to an upper bound of 4000 under a Normal curve with its center (average) at 3500 and a spread (standard deviation) of 160 . The estimated probability is 99.82%.

5 0
3 years ago
Other questions:
  • El grupo 2° A, quieren elaborar una piñata idéntica a la que compraron en la dulcería; para que tenga las mismas dimensiones y f
    7·1 answer
  • Is 78 degrees the correct answer?
    10·2 answers
  • Find the length of the midsegment.
    14·1 answer
  • Aviv cut out the ads on 5 pages of a newspaper. He discovered that when he put the ads together, they filled 1/3 pages. How many
    10·1 answer
  • Whats 1+1 because im having trouble
    13·2 answers
  • Sloutions to y=x-4<br> (6,3)<br> (4,0)<br> (3,-1)<br> (2,-4)
    7·2 answers
  • C. What patterns do you notice in the list of fractions 1/5, 1/25, 1/125, 1/625, 1/3125 ?
    15·1 answer
  • Estimate the square root to the nearest hundreths.
    8·1 answer
  • 4/5n = . n = ___? Select one: a.2/15 b.5/6 c. 1 1/5 d. 1 7/15 no links thank you
    14·1 answer
  • What is the equation 5x+6y=18 equal
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!