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3 years ago

Subtract 6 2/3 - 4 4/9

Mathematics

2 answers:

MAVERICK [17]3 years ago

8 0

6 2/3 - 4 4/9
= 6 6/9 - 4 4/9
= 2 2/9

Orlov [11]3 years ago

5 0

6 2/3 = 20/3 = 60/9

4 4/9 = 40/9

60/9 - 40/9 = 20/9 = 2 2/9

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9. Your mathematics instructor claims that, over the years, 88% of his students have said that math is their favorite class. In

Tatiana [17]

Answer:

Step-by-step explanation:

For the null hypothesis,

H0: p = 88

For the alternative hypothesis,

Ha: p < 88

Considering the population proportion, probability of success, p = 0.88

q = probability of failure = 1 - p

q = 1 - 0.88 = 0.12

Considering the sample,

Sample proportion, P = x/n

Where

x = number of success = 21

n = number of samples = 32

P = 21/32 = 0.66

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.66 - 0.88)/√(0.88 × 0.12)/32 = - 3.83

The corresponding p value would be determined by looking at the normal distribution table for the area below the z score. Therefore,

P value = 0.00006

8 0

3 years ago

Use substitution to solve the system. X= ? Y= ? 5x+4y = -10 x = 3y+17

nikklg [1K]

Answer:

x=3.4

y=-6.75

Step-by-step explanation:

5x+4y=-10 (equation 1 )

-5x+3y=-17 (equation 2)

7y=-27

y=-6.75

substitution (equation 1 ) y=-6.75

5x-27=-10

5x=17

x=3.4

4 0

3 years ago

One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times sm

sergey [27]

One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle. Then the lines are parallel

<h3>Solution:</h3>

Given that, One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle.

We have to prove that the lines are parallel.

If they are parallel, sum of the described angles should be equal to 180 as they are same side exterior angles.

Now, the 1st angle will be 1/6 of right angle is given as:

$\begin{array}{l}{\rightarrow 1^{\text {st }} \text { angle }=\frac{1}{6} \times 90} \\\\ {\rightarrow 1^{\text {st }} \text { angle }=15 \text { degrees }}\end{array}$

And now, 15 degrees is 11 times smaller than the other

Then other angle = 11 times of 15 degrees

$\text {Other angle }=11 \times 15=165 \text { degrees }$

Now, sum of angles = 15 + 165 = 180 degrees.

As we expected their sum is 180 degrees. So the lines are parallel.

Hence, the given lines are parallel

5 0

3 years ago

Que son las figuras planas

Alecsey [184]

It can be made through straight line or curved lines.

4 0

3 years ago

A group of students made trees out of paper for a scene in a school play. The trees are shaped like square pyramids. The base is

Readme [11.4K]

Answer:

26.4ft²

Step-by-step explanation:

I first converted the centimeter values to feet

140Cm x 30.48 = 4.59

70cm x 30.48 = 2.3

the paper required is approximately equal to the area of the pyramid.

area of pyramid is equal to area of triangle + base²

Are of triangle = 1/2 x b xh

= 4 x 1/2 x4.59x2.3 + (2.3)²

= 2 x 4.59 x 2.3 + 5.29

= 26.4 feet²

therefore it will take 26.4 feet² paper to make each tree, including the bottom.

8 0

3 years ago