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xeze [42]
3 years ago
13

Solve the system of equations by substitution y= 3x - 10 3x + 2y = 16

Mathematics
1 answer:
Natalija [7]3 years ago
5 0
Y= 3x - 10
<span>3x + 2y = 16

3x+2(3x-10)=16
3x+6x-20=16
9x-20=16
9x=36
x=4

y=3x-10
y=3(4)-10
y=12-10
y=2</span>
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What is 160% of 19? What is 0.9% of 54? What is 15% of 376?
mafiozo [28]
160% of 19 is 30.4

Convert 160 into a decimal: 160%/100 = 1.6
Multiply the decimal by 19: 1.6 × 19 = 30.4 <-- our answer.
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0.9% of 54 is 0.486

Convert 0.9% in a decimal: 0.9%/100 = 0.009
Multiply the decimal by 54: 0.009 × 54 = 0.486 <-- our answer.
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15% of 376 is 56.4

Convert the percentage into a decimal: 15%/100 = 0.15
Multiply the decimal by 376: 0.15 × 376 = 56.4 <-- our answer.


8 0
3 years ago
Under what circumstances will the chi-square test for goodness of fit produce a large value for chi-square?
Levart [38]
Under what circumstances will the chi-square test for goodness of fit produce a large value for chi-square? ANSWER: to test hypotheses about the shape or proportions of a population distribution
6 0
3 years ago
Need help with this one
levacccp [35]

Answer:

Step-by-step explanation:

B + 87 +78 +66 = 360

B = 129 °

the angle next to B then is

180 = 129 + b '

51 °  = b '

A  + 61 + b ' = 180

A = 68 °

4 0
3 years ago
Number of passengers who arrive at the platform in an Amtrack train station for the 2 pm train on a Saturday is a random variabl
Svetradugi [14.3K]

Answer:

P(80

And we can find this probability with this difference:

P(-4

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.  

P(-4

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the number of passengers who arrive at the platform of a population, and for this case we know the following info

Where \mu=180 and \sigma=25

We are interested on this probability

P(80

For this case we can assume that the random variable is normally distributed.

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(80

And we can find this probability with this difference:

P(-4

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.  

P(-4

5 0
3 years ago
What is the solution to −1/4(d+1)&lt;2
kogti [31]

Answer:

d > -9

Step-by-step explanation:

-\dfrac{1}{4}(d + 1) < 2

First, multiply both sides by -4. You must also change the inequality sign since you are multiplying both sides by a negative number.

-4 \times \left(-\dfrac{1}{4}\right)(d + 1) > 2 \times (-4)

d + 1 > -8

Subtract 1 from both sides.

d + 1 - 1 > -8 - 1

d > -9

5 0
3 years ago
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