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MissTica
3 years ago
8

What is the answer to 2/3 of something equals 10

Mathematics
2 answers:
denis23 [38]3 years ago
7 0
In math, when you see the word "of" it usually means "times".

So the question is:

        <u>2/3 times something = 10</u>

Multiply each side of the equation by 3 :

             2 times something = 30

Divide each side by 2 :

                        <em>  something = 15</em>
mart [117]3 years ago
7 0
<span>If you want to calculate the fraction of the number, multiply this number by the <span>fraction:

\frac{2}{3}\times?=10

therefore

?=10:\frac{2}{3}=10\times\frac{3}{2}=5\times3=\boxed{15}
</span></span>
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Solve the system of equations<br> −4x+3y=−2 <br> y=x−1 ​ <br><br> x = <br> y =
dolphi86 [110]
Answer: x = -1 and y = -2

Step-by-step explanation:

So if you know y = x-1 you can plug that in where y is in the first equation

-4x + 3(x-1) = -2

Distribute the 3:

-4x +3x -3 = -2

Combine like terms:
-x -3 = -2

Add 3 to both sides:
-x = 1

Multiply by -1:
X = -1

Then you plug that into the other equation to get y=(-1)-1

Which is -2
4 0
3 years ago
34.607 to the nearest whole number
Elena L [17]
I know the answer is 35
4 0
3 years ago
For a fair coin, suppose you toss the coin 100 times.
Natasha_Volkova [10]

Using the normal distribution, it is found that there is a 0.0005 = 0.05% probability of getting more than 66 heads.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
  • The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with \mu = np, \sigma = \sqrt{np(1-p)}.

For the binomial distribution, the parameters are given as follows:

n = 100, p = 0.5.

Hence the mean and the standard deviation of the approximation are given as follows:

  • \mu = np = 100(0.5) = 50.
  • \sigma = \sqrt{np(1-p)} = \sqrt{100(0.5)(0.5)} = 5

Using continuity correction, the probability of getting more than 66 heads is P(X > 66 + 0.5) = P(X > 66.5), which is <u>one subtracted by the p-value of Z when X = 66.5</u>.

Z = \frac{X - \mu}{\sigma}

Z = \frac{66.5 - 50}{5}

Z = 3.3

Z = 3.3 has a p-value of 0.9995.

1 - 0.9995 = 0.0005.

0.0005 = 0.05%

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

6 0
1 year ago
Solve this quadratic equation by completing the square.
nadya68 [22]

Answer:

x=-3+\sqrt{27}\\  x=-3-\sqrt{27}

Step-by-step explanation:

Let's find our C value for the quadratic equation.

(\frac{6}{2})^{2} = 9

That is our C. Since we added 9 to one side, we have to do the same to the other. We get:

x^{2} +6x + 9 = 18 + 9\\x^{2} +6x + 9 = 27

Now, lets form the left side as a binomial squared.

(x+3)^{2} = 27

Let's square both sides now:

x+3 = (+/-)\sqrt{27}

Now, we subtract 3 from both sides to isolate the variable, X:

x= -3(+/-)\sqrt{27}

This means that the answers are:

x=-3+\sqrt{27}\\  x=-3-\sqrt{27}

I do not understand your answers though. Answer A makes no sense, answer B is 221, answer C is 115, and answer D also does not make sense. If you could clarify this portion, maybe I can help you find your alphabetic answer

3 0
3 years ago
Dan played in 7 basketball games. Altogether he scored 72 field goals (2 points each) and 9 free throws (1 point each). Find the
liubo4ka [24]
Total points scored=72(2)+9
=153
Mean=153/7
=21 6/7
=21.9 (3s.f.)
6 0
3 years ago
Read 2 more answers
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