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
Dmitriy789 [7]
3 years ago
13

Solve the systems of equations 9x+5y=41 and x+y=9 by combining the equations

Mathematics
1 answer:
Sholpan [36]3 years ago
3 0

Step-by-step explanation:

multiplying the 2nd eqn by 9 we get,

9x+9y=81

then,subtracting 1st and 2nd eqn

9x+5y=41

9x+9y=81

- - -

__________

0. -4y=-40

we get y = 10

then we get x=9-y

x=9-10

x= -1

so x is -1 and y is 10

You might be interested in
Find x .
aalyn [17]
B) 47 

Explanation: If you graph these the place it lands on is 47
8 0
3 years ago
Scores on an aptitude test are distributed with a mean of 220 and a standard deviation of 30. The shape of the distribution is u
Evgen [1.6K]

Answer:

P(215<X<225) = 0.7620

Step-by-step explanation:

The shape of the distribution is unknow, however, the shape of the sampling distributions of the sample mean is approximately normal due to 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.

In this problem, we have that:

\mu = 220, \sigma = 30,n = 50, s = \frac{30}{\sqrt{50}} = 4.2426

P(215<X<225)

This is the pvalue of Z when X = 225 subtracted by the pvalue of Z when X = 215. So

X = 225

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

By the Central Limit Theorem

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

Z = \frac{225 - 220}{4.2426}

Z = 1.18

Z = 1.18 has a pvalue of 0.8810

X = 215

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

Z = \frac{215 - 220}{4.2426}

Z = -1.18

Z = -1.18 has a pvalue of 0.1190

0.8810 - 0.1190 = 0.7620

P(215<X<225) = 0.7620

6 0
3 years ago
Lavonne sold 4 times as many raffle tickets as Kenneth. Lavonne sold 56 raffle tickets. Write and solve an equation to find how
ICE Princess25 [194]
OK, so just do 56 divided by 4 and you can get kenneth's tickets.

8 0
3 years ago
Read 2 more answers
A public opinion survey investigated whether a majority (more than 50%) of adults supported a tax increase to help fund the loca
soldier1979 [14.2K]

Answer: C. At the α=0.05 significance level, they should conclude that more than 50% of adults support the tax increase.

Step-by-step explanation:

Given: Null hypothesis: H_0:p=0.5

Alternative hypothesis: H_a: p>0.5

p-value = 0.033

If the p-value is greater than alpha (p > . 05), then we fail to reject the null hypothesis.

If α=0.01 , then p-value > α i.e. we fail to reject the null hypothesis.

Conclusion: Exactly 50% of adults support the tax increase.

If α=0.05 then p-value < α i.e. we reject the null hypothesis.

Conclusion: more than 50% of adults support the tax increase.

Thus, Correct option: C .

8 0
3 years ago
How much will it cost to ride if the cab travels 13.5 miles?
MrMuchimi
Please provide more information. This question is not able to be answered with the information provided. Try giving the full problem!
6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the solution to the inequality? −6x+5&gt;−1 ​ a.x&gt;1 ​ ​ B.x&gt;−1 ​ ​ C.x&lt;−1 ​ ​ D.x&lt;1 ​
    12·2 answers
  • Katie makes 70% of her shots from the free-throw line. Can you determine how many consecutive free-throws she must make in order
    11·2 answers
  • Our 7th grade math class was studying an experiment. Each group of students were given 2 paper bags. In one bag labeled A, there
    14·1 answer
  • kai is making 96 cupcakes for a schoolg event. how many more teaspoons of vanilla are needed to make all 96 cupcakes?
    9·1 answer
  • 5x + 3y = 15. Solve for x
    12·1 answer
  • The length of a triangle is x and its width is 2x. what is the area if the length and width are each increased by 1?
    5·2 answers
  • Natalia bought 6 sweaters. 3 are blue. What fraction of the sweaters are blue?
    13·2 answers
  • Why are some rational numbers not integers?
    13·1 answer
  • Solve for X
    8·1 answer
  • A coupon for 20% off as a negtive
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!