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Shkiper50 [21]
4 years ago
14

A scientist is conducting a study on the effect of eating chocolate and overall mood. They believe that gender is a significant

factor. The participants are divided by gender. Then, within each group, participants are randomly assigned to consume either chocolate or a placebo and then rate their mood for the day. This experiment will run for two weeks. Which type of experimental design does this situation describe?
A. Randomized Block Design.
B. Matched-Pair Design.
C. Case-Control Design.
D. Completely Randomized Design.
Mathematics
1 answer:
Reptile [31]4 years ago
4 0

Answer:

The correct option is;

A. Randomized block design

Step-by-step explanation:

A randomized block design is one where the sample or subjects of the experiment are split into groups called blocks of experimental units where the variation in each block is lower than the variation among or between blocks, such that variation is controlled. In a random order, the treatments are performed on each experimental of the blocks.

In the question, the experimental units are grouped by gender and the treatment (consumption of chocolate or placebo) is randomly administered to the experimental units.

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A circle has a radius of 7.5 centimeters and a central angle AOB that measures 90 degrees. What is the length of the intercepted
Julli [10]
Since there are 360^{\circ} in a circle, and central \angle AOB = 90^{\circ}, you can see that the part "sliced out" by the central angle is \frac{90^{\circ}}{360^{\circ}} = \frac{1}{4} of the whole circle.

This means that the length of the intercepted arc \stackrel{\frown}{AB} is \frac{1}{4} of the circumference of the circle. So,

\stackrel{\frown}{AB} = \frac{1}{4}(2 \pi r) = \frac{1}{4}(2 \pi (7.5 cm)) = \bf \frac{15 \pi}{4} cm



6 0
3 years ago
The speed of light is 3.0 x 10^8 m / s The sun is approximately 230,000,000,000 meters from Mars. How many seconds does it take
dem82 [27]
Answer:




Me so smarttttt
5 0
2 years ago
The length of one leg of a right triangle is 7 cm more than that of the other leg. The length of the hypotenuse is 3 cm more tha
Lady bird [3.3K]

Answer:

The lengths are 5, 12, and 13.

Step-by-step explanation:

Let x represent the shorter leg of the triangle. Since the other leg is 7 cm more, the longer leg is x+7. Since the length of the hypotenuse is 3 cm more than double that of the shorter leg, the hypotenuse is 2x+3.

The Pythagorean Theorem may be used to find the lengths.

a^{2} + b^{2} = c^{2}  a, b are the short and long lengths and c is the hypotenuse

→ x^{2} + (x+7)^{2} = (2x+3)^{2}

→ x^{2} + x^{2} + 14x + 49 = 4x^{2} + 12x + 9

→ 2x^{2} + 14x + 49 = 4x^{2} + 12x + 9

→ 2x^{2} - 2x - 40 = 0

→ x^{2} - x - 20 = 0

→ (x-5)(x+4) = 0

→ x = 5 (The length cannot be negative)

The shorter leg, x, is 5 cm. Since the longer leg is x+7, it is 12 cm. Since the length of the hypotenuse is 2x+3, the hypotenuse is 13 cm.

6 0
3 years ago
Write the slope intercept form of the equation of each line plz
soldi70 [24.7K]

Answer:

y = -11/6z - 6

Step-by-step explanation:

11z +6y = -36

-11z          -11z

6y = -11z -36

-----  -----  -----  divide by 6

6       6       6

y = - \frac{11}{6\\} z -6

4 0
3 years ago
On a field trip, there are 5 adult chaperones for every group of 20 students. There are 150 people in total on the trip. What pe
denis23 [38]

Answer:

80% of the people on the trip are children.

Step-by-step explanation:

To determine the percentage of the people on the trip that are children,

First, we will determine how many of the people are children.

From the question,

There are 5 adult chaperones for every group of 20 students, that is, out of 25 people, 5 are adult chaperones and 20 are students.

From the question, there are 150 people in total in total.

Let the number of children be x

If there are 20 students (children) in 25 people

Then, there will be x children in 150 people

x = (150 × 20) / 25

x = 120

Hence, there are 120 children.

To determine the percentage of the people on the trip that are children,

we will divide the number of children by the total number of people and then multiply by 100%

Number of children = 120

Total number of people = 150

∴ The percentage of the people on the trip that are children is

(120/150) × 100% = 0.8 × 100% = 80%

Hence, 80% of the people on the trip are children.

7 0
3 years ago
Read 2 more answers
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