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3 years ago

Given that 2x – 9y = 11

Mathematics

1 answer:

Stels [109]3 years ago

8 0

Answer:

y = 1/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

2x - 9y = 11

x = 7

Step 2: Evaluate

Substitute in x: 2(7) - 9y = 11
Multiply: 14 - 9y = 11
[Subtraction Property of Equality] Subtract 14 on both sides: -9y = -3
[Division Property of Equality] Divide -9 on both sides: y = 1/3

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3 years ago

Suppose a team of doctors wanted to study the effect of different types of exercise on reducing body fat percentage in adult men

Inessa05 [86]

Answer:

A. The F statistic increases as the differences among the sample means for the exercise groups increase.

C. The F statistic has 3 degrees of freedom in the numerator and 35 degrees of freedom in the denominator.

F. The F statistic is 9.2242.

Step-by-step explanation:

Given that

Observations Samples Total

40-49 10 11 9 9 39

The degrees of freedom is given by

For numerator= k-1 = 4-1=3

For denominator= n-k= 39-4= 35

F statistic is given by

F= MS between/ MS within

=11.632991 / 1.261143 = 9.2242

Where

Mean Square Between = MS between = 11.632991

Mean Square Within = MS within = 1.261143

Hence the correct choices are A, C and F

A. The F statistic increases as the differences among the sample means for the exercise groups increase.

C. The F statistic has 3 degrees of freedom in the numerator and 35 degrees of freedom in the denominator.

F. The F statistic is 9.2242.

Suppose we have

Mean Square Between = MS between = 18.632991

Mean Square Within = MS within = 1.261143

Then F statistic would be = 14.77468 > 9.2242

which tells that The F statistic increases as the differences among the sample means for the exercise groups increase.

3 0

4 years ago

My answer is 8, but I'm not completely sure, if I'm wrong could someone please explain how to find the length.

Verdich [7]

By knowing that S is bisected by the line shown, we will conclude that PD = 8

So here we know that PC = 8, we also can see that:

PCS is a right triangle
PDS is a right triangle.

Notice that because the blue line bisects S, the angle at "S" on both of these right triangles is the same, and because both of these are right triangles, both must have a 90° angle.

Finally, if two angles are equal, then the 3 angles must be equal between these two triangles.

And notice that both of these triangles share one side, then:

Triangles we know for sure that triangles PCS and PDS have the same angles and one equal side.

This implies that the triangles are congruent, thus, the measures of the corresponding sides must be the same.

Then the length of the shorter side of both triangles must be the same, in triangle PCS the short leg measures 8 units, then in triangle PDS the short leg, PD, also must measure 8 units.

So you are correct.

If you want to learn more about congruent triangles, you can read:

brainly.com/question/12077512

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2 years ago

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3 years ago

Please help with problem and show work

luda_lava [24]

Answer:

x = 7

Step-by-step explanation:

The image below shows the relationship between secants chords and tangents.

Imagine that the letters in the image represent the numbers in the actually problem

E would equal 9

C would equal 12

and A would equal x

We would then use the same formula C² = E * ( E + A ) to solve for x , but once again instead of using letters we use the numbers in the problem

We would have 12² = 9( 9 + x )

we now solve for x

Step 1 simplify and distribute

12²=144

9 * 9 = 81

9 * x = 9x

we would then have 144 = 81 + 9x

step 2 subtract 81 from each side

144 - 81 = 63

81 - 81 cancels out

we now have 63 = 9x

step 3 divide each side by 9

63 / 9 = 7

9x / 9 = x

we're left with x = 7

7 0

3 years ago