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wolverine [178]
3 years ago
5

Solve the system of linear equations below, using substitution method.

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
5 0

Solve the system of linear equations below, using substitution method.

8x + 9y = 36

3x + 4y = 16

your answer is in attachment....

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What does a country need to do to keep a republic, and not fall under the power of a dictator?
Mama L [17]

Answer:

Continue to provide equality for all!

Step-by-step explanation:

When rules and regulations are in place, the government runs smoothly but also people still need to have a voice because without us - there is no government(social contract). We the people(constitution) have the power to prevent a dictator.

Hope this helps:)

7 0
3 years ago
In a recent study on world​ happiness, participants were asked to evaluate their current lives on a scale from 0 to​ 10, where 0
Zigmanuir [339]

Answer:

a) 8.2962

b) 6.3956

c) 3.845

Step-by-step explanation:

Z-score:

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.

In this question, we have that:

\mu = 5.6, \sigma = 2.6

(a) What response represents the 85th ​percentile? ​

This is X when Z has a pvalue of 0.85. So X when Z = 1.037.

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

1.037 = \frac{X - 5.6}{2.6}

X - 5.6 = 2.6*1.037

X = 8.2962

(b) What response represents the 62nd ​percentile?

This is X when Z has a pvalue of 0.62. So X when Z = 0.306.

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

0.306 = \frac{X - 5.6}{2.6}

X - 5.6 = 2.6*0.306

X = 6.3956

​(c) What response represents the first ​quartile?

The first quartile is the 100/4 = 25th percentile. So this is X when Z has a pvalue of 0.25, so X when Z = -0.675.

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

-0.675 = \frac{X - 5.6}{2.6}

X - 5.6 = 2.6*(-0.675)

X = 3.845

3 0
3 years ago
What is the formula for area of a parallelogram?
kipiarov [429]

Answer:

The area of a polygon is the number of square units inside the polygon. Area is 2-dimensional like a carpet or an area rug.

Step-by-step explanation:

A parallelogram is a 4-sided shape formed by two pairs of parallel lines. Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is:

A = B * H where B is the base, H is the height, and * means multiply.

The base and height of a parallelogram must be perpendicular. However, the lateral sides of a parallelogram are not perpendicular to the base. Thus, a dotted line is drawn to represent the height. Let's look at some examples involving the area of a parallelogram.

8 0
3 years ago
Please answer this correctly
Amanda [17]

Answer:

Step-by-step explanation:

If we divide 9,795 by 7 we get:

=1399.28571429

Rounding to the nearest hundredth:

Underline the hundredths place: 1399.2<u>8</u>571429

Look to the right. If it is 5 or above 5 then we give it a shove.

If it is 4 or less than 4, we let it go.

In our case it is 5. We will add 1 in 8, then it will become 9. 28 will be rounded off as 29.

Therefore the answer after rounding off to the nearest hundredth is 1399.29....

4 0
4 years ago
Which statements are true about the polynomial function?<br><br> f(x)=x4+5x3−x2−5x
topjm [15]

Answer:

f(5) is NOT 0.

When x=-5, f(x) IS 0.  

f(x) divided by (x+5) has a remainder of 0. (x+5) is a factor of f(x).

But x-5 is NOT a factor of x.

3 0
2 years ago
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