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Gnoma [55]
3 years ago
9

A researcher is interested in studying changes in marital satisfaction over the course of marriage. She hypothesizes that marita

l satisfaction is highest when couples are newly married, that it decreases during the middle years of marriage, but rises again during later years of marriage. In order to test her hypothesis, she recruits fifty married couples within each of the following conditions: (1) married less than 10 years; (2) married 15-20 years; (3) married more than 25 years. All 150 couples (50 from each condition) complete a standardized measure of marital satisfaction. What is the dependent variable?
Mathematics
1 answer:
german3 years ago
4 0

Answer:

Marital satisfaction

Step-by-step explanation:

The hypothesis is: marital satisfaction is highest when couples are newly married. In this case, the cause is to be newly married and the effect is marital satisfaction. When you are doing a study with statistics to prove a hypothesis, the cause is the independent variable and the effect is the dependent variable. Then, the dependent variable is marital satisfaction.

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When the sun has risen 32 degrees above the horizon, Sandy casts a shadow that is 9 feet 2 inches long. How tall is Sandy, to th
Makovka662 [10]

Answer:

The height of Sandy is 68.74 inches.

Step-by-step explanation:

It is given that the sun has risen 32 degrees above the horizon. It means the angle of elevation is 32°.

Let the height of Sandy be x.

Sandy casts a shadow that is 9 feet 2 inches long.

We know that 1 feet = 12 inches

Using this conversion, we get

Shadow = 9 feet 2 inches = 9(12)+2 = 110 inches

In a right angled triangle,

\tan\theta =\frac{perpendicular}{base}

In triangle ABC,

\tan(\angle C)=\frac{AB}{BC}

\tan(32^{\circ})=\frac{x}{110}

Multiply both sides by 110.

110\tan(32^{\circ})=x

68.73562871=x

x\approx 68.74

Therefore the height of Sandy is 68.74 inches.

8 0
4 years ago
What radian measure is equivalent to 900°?<br> 5n<br> 10n<br> 1/5n<br> 9n
Sergeu [11.5K]
9n is the answer to this question
3 0
3 years ago
Read 2 more answers
I answered it but I just need someone to answer just to make sure mine are right
Artemon [7]
<h2>The missing measures of the angles are:</h2>

m\angle 1= 60^{\circ}\\\\m\angle 2= 39^{\circ}\\\\m\angle 3= 21^{\circ}\\\\m\angle 4 = 39^{\circ}\\\\m\angle 5 = 21^{\circ}

<u>Given</u>:

m\angle Z = 138^{\circ}

<em><u>Note the following:</u></em>

  • An equilateral triangle has all its three angles equal to each other. Each angle = 60^{\circ}.
  • This implies that, since \triangle WXY is equilateral, therefore, m\angle Y = m\angle XWY = m\angle XYW = 60^{\circ}

  • Base angles of an isosceles triangle are congruent to each other.
  • This implies that, since \triangle WZY is isosceles, therefore, m\angle 3 = \angle 5

Applying the above stated, let's find the measure of each angle:

  • Find m\angle 1

m\angle 1 = 60^{\circ} (an angle in an equilateral triangle equals 60 degrees)

  • Find m\angle 2

m\angle 2 = 60 - m \angle 3

m\angle 2 = 60 -\frac{1}{2}(180 - 138) (Note: \frac{1}{2}(180 - 138) = 1 $ base $ angle $ of $ \triangle WZY)

m\angle 2 = 60 -21\\\\m\angle 2 = 39^{\circ}

  • Find m\angle 3 and m\angle 5 (base angles of isosceles triangle WZY)

m\angle 3 =  \frac{1}{2}(180 - 138) (1 $ base $ angle $ of $ \triangle WZY)

m\angle 3 =  \frac{1}{2}(42) \\\\m\angle3 = 21^{\circ}

m\angle3 = m\angle 5 (base angles of isosceles triangle are congruent)

Therefore,

m\angle5 = 21^{\circ}

  • Find m\angle 4

m\angle 4 = 60 - m\angle 5

Substitute

m\angle 4 = 60 - 21\\\\m\angle 4 = 39^{\circ}

The missing measures of the angles are:

m\angle 1= 60^{\circ}\\\\ m\angle 2= 39^{\circ}\\\\m\angle 3= 21^{\circ}\\\\m\angle 4 = 39^{\circ}\\\\m\angle 5 = 21^{\circ}

Learn more here:

brainly.com/question/2944195

5 0
3 years ago
I’ll give points and brainalist for a correct answer / explanation
wlad13 [49]

Answer:

Answer is C

r= 3

there are 4 circles.

total area of circle = 4 π 3²

so shaded area = 12²- 4π3²= 30.90

Step-by-step explanation:

3 0
3 years ago
Find θ in the triangle. Round to the nearest degree.
chubhunter [2.5K]
I qould say the answer is b. 59.
3 0
3 years ago
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