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3 years ago

10

The math test has 10 multiple choice questions, each with 4 answers. Betty guesses correctly on the first 2 questions. What is t

he probability that she will guess correctly on the third question?

2 answers:

Allushta [10]3 years ago

8 0

3/10 because the 3rd question over 10

levacccp [35]3 years ago

4 0

1/4, or 25% because there are 4 answer choices. The first sentence shouldn't affect the problem in any way.

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A cone and a triangular pyramid have a height of 9.3 m

Otrada [13]

Answer:

$x=17.1\ in$

Step-by-step explanation:

<u><em>The complete question is</em></u>

A cone and a triangular pyramid have a height of 9.3 m and their cross-sectional areas are equal at every level parallel to their respective bases. The radius of the base of the cone is 3 in and the other leg (not x) of the triangle base of the triangular pyramid is 3.3 in

What is the height, x, of the triangle base of the pyramid? Round to the nearest tenth

The picture of the question in the attached figure

we know that

If their cross-sectional areas are equal at every level parallel to their respective bases and the height is the same, then their volumes are equal

Equate the volume of the cone and the volume of the triangular pyramid

$\frac{1}{3}\pi r^{2}H=\frac{1}{3}[\frac{1}{2}(b)(h)H]$

simplify

$\pi r^{2}=\frac{1}{2}(b)(h)$

we have

$r=3\ in\\b=3.3\ in\\h=x\ in\\pi=3.14$

substitute the given values

$(3.14)(3)^{2}=\frac{1}{2}(3.3)(x)$

solve for x

$28.26=\frac{1}{2}(3.3)(x)$

$x=28.26(2)/3.3\\x=17.1\ in$

7 0

3 years ago

Read 2 more answers

What is the answer to this

klio [65]

Answer:

yes, the centroid is where the medians meet

<em>hope this helps!</em>

<em>have a great day :)</em>

3 0

3 years ago

The manager went over the sales of mobile phones at the store and found that the mean sale was 45, with a standard deviation of

d1i1m1o1n [39]

The z-score of the sale of mobile phones on that day is 1.75

Step-by-step explanation:

The formula of z-score is z = (x - μ)/σ, where:

x is the score
μ is the mean
σ is the standard deviation

∵ The mean sale was 45

∴ μ = 45

∵ The standard deviation was 4

∴ σ = 4

∵ 52 mobile phones were sold on a particular day

∴ x = 52

To find z-score of the sale of mobile phones on that day substitute the values of x, μ, and σ in the formula of z-score

∵ $z=\frac{52-45}{4}$

∴ $z=\frac{7}{4}$

∴ z = 1.75

The z-score of the sale of mobile phones on that day is 1.75

Learn more:

You can learn more about z-score in brainly.com/question/7207785

#LearnwithBrainly

3 0

4 years ago

Carl, Gilda, Conroy, and Kyla are the four candidates in a school election. Carl received 1/5 of the votes, Gilda received 5% of

Juliette [100K]

Firstly, we can convert all of the fractions into percentages. To do this, we need to make the denominator of the fraction 100, and whatever we do to the denominator we must also do to the numerator.

5 x 20 = 100
1 x 20 = 20.

So Carl recieves 20/100 or 20% of the votes.

4 x 25 = 100
1 x 15 = 25

So Conroy receives 25/100 or 25% of the votes.

If we add these together and Gilda's 5%, we get 50%. Since there are 100% votes overall, we need to do 100 - 50 = 50.

Kyla receives 50% of the votes.

8 0

3 years ago

Read 2 more answers

Translate this sentence into an equation.

ycow [4]

Answer: 76 = 4g

Step-by-step explanation:

76 is the product of Greg's savings and 4 can be represented as 76 = 4g

7 0

3 years ago