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VladimirAG [237]
3 years ago
9

You roll a cube with the numbers 13, 16, 18, 20, 22, and 24 on it. You then spin a spinner which has 6 sections. The letters on

the spinner are E, B, G, K, D, and H. Find the P(G and prime number). Write your answer as a fraction or a decimal​
Mathematics
1 answer:
Dmitriy789 [7]3 years ago
4 0
<h3>Answer:  1/36</h3>

===========================================================

Explanation:

The only prime number of the list of values given is the value 13. This is because the only factors are 1 and 13. Something like 24 isn't prime because 2 is a factor.

The probability of rolling to get a prime number is 1/6 because there is one prime out of 6 total values listed.

The probability of spinning on "G" is also 1/6 because there is only one section labeled "G" out of 6 sections total.

Assuming both events are independent, we multiply the probabilities to get (1/6)*(1/6) = 1/36 which represents the probability of rolling a prime number and spinning on G.

Side note: 1/36 = 0.0278 = 2.78% approximately

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A student inscribes a triangle within a semicircle. What is the measure of ∠XYZ?
nata0808 [166]

Answer: a. 90°


Step-by-step explanation:

We know that the in a circle, the measure of an inscribed angle is half the measure of the central angle with the same intercepted arc.

In the problem∠XYZ is the inscribed angle

∠XYZ=\frac{1}{2}\ arc(XZ)

⇒ ∠XYZ=\frac{1}{2}\angle{XZ}

Since XZ is a diameter of the circle which is a line segment, thus ∠XZ=180°

∴ ∠XYZ=\frac{1}{2}180^{\circ}=90^{\circ}

∴ ∠XYZ=90^{\circ}

Therefore, a. 90° is the measure of ∠XYZ.


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3 years ago
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What descibes the cross section of a cube that passes through a b c and d
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Step-by-step explanation:

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Which measures is equivalent to 126 in.?
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3 years ago
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Mr. and mrs. lorenzo want to buy a home valued at $213,500. if they have 18% of this amount saved for a down payment, how much h
Vesnalui [34]

Option d is the correct answer. $38,430.00 is the amount saved for a down payment given that Mr. and Mrs. Lorenzo want to buy a home valued at $213,500 and they have 18% of this amount saved for the down payment. This can be obtained by using percentage formula.

<h3>How much have they saved?</h3>

The percentage of a number can be obtained using percentage formula,

If P% of X is Y then it can be denoted using the formula of percentage as,

⇒ P% of X = Y

⇒ P% × X = Y   (where P% is P/100)

Here in the question it is given that,

  • Mr. and Mrs. Lorenzo want to buy a home valued at $213,500
  • They have 18% of this amount saved for a down payment

We have to find the amount they saved for the down payment.

  • Given that the total amount = $213,500
  • Percentage they are saving = 18%

The amount they saved for the down payment,

18% of the total amount = 18% of $213,500

Using the percentage formula we get,

18% of $213,500 = 18% × $213,500  

18% of $213,500 = 18/100 × $213,500

18% of $213,500 = $ 38,430.00

Hence Option d is the correct answer. $38,430.00 is the amount saved for a down payment given that Mr. and Mrs. Lorenzo want to buy a home valued at $213,500 and they have 18% of this amount saved for the down payment.

Learn more about percentages here:

brainly.com/question/14366896

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3 0
2 years ago
Lucy earned $400 and $550 in interest the last 2 years. Describe the average interest she should earn in each of the next 3 year
Rzqust [24]
So she has 400 and 500 so far.

now if she were to have an average of 2300 for the next 5 years, that means some years she made more, some she made less, but in the 5 years run, she made 2300 * 5 or 11500 total.

Neverminding the lows and highs, if we bundle up the 11500 bucks and divide by 5, that'd 2300, which is what's called the average, the average amount doesn't take into account that some numbers are higher than others, it kinda just flattens them out.

so in total she would have made 11500 in each account.

so in the account with 400, she needs 11100 more, how much will it be 1100 for the next three years on average?  11100/3  or 3700.

so if she earns 3700 each year, for the next 3 years in the account with 400 already, she'd have 11500 bucks in 5 years with an average of 2300.

now let's look at the 500 account, she needs 11000 more, how much will it be for 11000 for the next three years on average?  11000/3 or about 3666.67.

so if she earns 3666.67 each year, for the next 3 years, she'd have 11500 bucks in 5 yeas with an average of 2300.
4 0
3 years ago
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