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Henri conducts an experiment to determine who likes peanut butter more: boys or girls. He has 25 girls and 25 boys taste some pe

ELEN [110]

Complete question is;

Henri conducts an experiment to determine who likes peanut butter more: boys or girls. He has 25 girls and 25 boys taste some peanut butter and then rate it on a scale of 1 - 10 with 1 being cannot stand and 10 being tastes delicious. He finds that the girls had a mean of 7 with a range of 9 and the boys had a mean of 8 with a range of 5. Which statement is true?

A) On average, girls like peanut butter more than boys.

B) The person who rated peanut butter the worst was a boy.

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C) Girls varied more in how they liked peanut butter than the boys did.

D) There is not enough information to know if any of the above are true

Answer:

Option C) Girls varied more in how they liked peanut butter than the boys did.

Step-by-step explanation:

From the options the most appropriate will be option C which says: Girls varied more in how they liked peanut butter than the boys did..

This is because in the experiment, henri found out that the girls had a mean of 7 with a range of 9 and the boys had a mean of 8 with a range of 5.

The range of the girls responses are far higher than that of the boys.

So it means their ratings were more varied and not within similar ratings scale.

5 0

3 years ago

Which statement is true? the equation –3|2x 1.2| = –1 has no solution. the equation 3.5|6x – 2| = 3.5 has one solution. the equa

vampirchik [111]

The statement which is true for the provided reason is the equation 3.5|6x – 2| = 3.5 has one solution.

<h3>How to find one solution of equation?</h3>

If the equation is given a unique and single value of variable after solving then the equation is said one solution equation. Such equation gives exactly one solution.

The three types of solution of an equation are-

One solution-When the provides the singe value of the given variable, we get one or unique solution.
No solution-When the graph of equations is equal than it provides the no solution. When the value, does not equate for the expression, then the expression has no solution.
Infinite many solution-For the same line, the equation has the infinite many solutions.

The first equation given in the problem is,

$-3|2x+ 1.2| = -1$

This equation has one solution. This in not correct option.

The second equation given in the problem is,

$3.5|6x - 2| = 3.5 \\|6x-2|=0\\6x=2\\x=\dfrac{2}{6}\\x=\dfrac{1}{3}$

This equation has one solution. This in correct option.

Hence, the statement which is true for the provided reason is the equation 3.5|6x – 2| = 3.5 has one solution.

Learn more about the solution of the equation here;

brainly.com/question/21283540

7 0

3 years ago

What is m∠CDE?

BigorU [14]

Answer:

45°

Step-by-step explanation:

Angle CDE is half of a right angle

1. 90°/2 = 45°

6 0

3 years ago

Evaluate the power

Maru [420]

Answer:

289

Step-by-step explanation:

Raise 17 to the power of 2

Is this what you are asking for

3 0

3 years ago

Read 2 more answers

Volume of prisms just 3 problems

Vladimir79 [104]

Answer:

2. 18 cubic cm.

3. 27 cubic cm

5. 90 cubic m

Step-by-step explanation:

2. Triangular prism

So, we have a triangular prism with a width of 3 cm, a height of 1.5 cm and a length of 4. We'll take the triangle shape as the base.

Like for any prism, the volume is the base multiplied by the height.

So, the area of the base is found with the regular formula: base x height:

so, 3 x 1.5 = 4.5 sq cm for the base.

Then we multiply the base by the length to get the volume: 4.5 x 4 = 18 cubic cm.

3. Trapezoidal prism

Again, first step is to calculate the area of the trapezoid shape, then multiply by its depth.

The area of a trapezoid is calculated with the formula:

A = h/2 * (a + b) where a and b represent the short and long sides respectively.

So, for our given trapezoid:

A = 1.5/2 * (2+4) = 0.75 * 6 = 4.5 sq cm.

Then we multiply the base area by the height to get the volume:

V = 4.5 * 6 = 27 cubic cm

5. Triangular prism 2

The best way to approach this one is to consider it's a triangle prism with a height of 3 cm, and use the triangle shape (with sides of 13 and 5) as the base.

But to calculate the area of that triangle we need to find out the missing length. Using Pythagore's theorem, we can easily find the length of the other side with the hypotenuse formula:

hypotenuse² = sideA² + sideB²

In our case, we have:

13² = x² + 5²

169 = x² + 25

x² = 144

x = 12

Now we can calculate the area of the triangle easily:

A = (b x h)/2 = (5 x 12)/2 = 30 sq m

Then multiply by the thickness of the prism....

V = 30 x 3 = 90 cubic m

4 0

3 years ago