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sineoko [7]
3 years ago
11

You might need: Calculator

Mathematics
1 answer:
Naily [24]3 years ago
3 0

Step-by-step explanation:

The offer is 25% sale on cupcakes

Single cake costs = 9

25% = 0.25

After discount the price of cake = 9 x 0.25 = 2.25

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student randomly receive 1 of 4 versions(A, B, C, D) of a math test. What is the probability that at least 3 of the 5 student te
alexdok [17]

Answer:

1.2%

Step-by-step explanation:

We are given that the students receive different versions of the math namely A, B, C and D.

So, the probability that a student receives version A = \frac{1}{4}.

Thus, the probability that the student does not receive version A = 1-\frac{1}{4} = \frac{3}{4}.

So, the possibilities that at-least 3 out of 5 students receive version A are,

1) 3 receives version A and 2 does not receive version A

2) 4 receives version A and 1 does not receive version A

3) All 5 students receive version A

Then the probability that at-least 3 out of 5 students receive version A is given by,

\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}\times \frac{3}{4}+\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}+\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}

= (\frac{1}{4})^3\times (\frac{3}{4})^2+(\frac{1}{4})^4\times (\frac{3}{4})+(\frac{1}{4})^5

= (\frac{1}{4})^3\times (\frac{3}{4})[\frac{3}{4}+\frac{1}{4}+(\frac{1}{4})^2]

= (\frac{3}{4^4})[1+\frac{1}{16}]

= (\frac{3}{256})[\frac{17}{16}]

= 0.01171875 × 1.0625

= 0.01245

Thus, the probability that at least 3 out of 5 students receive version A is 0.0124

So, in percent the probability is 0.0124 × 100 = 1.24%

To the nearest tenth, the required probability is 1.2%.

4 0
3 years ago
True or False Plane KLM and Plane NQR are parallel planes
Nana76 [90]

Answer:

i saed to answer it and it didnt show me the image so im conf

Step-by-step explanation:

so probably they are, unlees one is acxute and the other is obtuse then.... ur on ur own buddy,

3 0
3 years ago
Please help with this.........
lyudmila [28]

Answer:

<h2>M(-a, b)</h2>

Step-by-step explanation:

Use the formula of a midpoint:

\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)

We have the points P(-2a, 0) and Q(0, 2b). Substitute:

x=\dfrac{-2a+0}{2}=\dfrac{-2a}{2}=-a\\\\y=\dfrac{0+2b}{2}=\dfrac{2b}{2}=b

3 0
3 years ago
What form is this equation in? y + 6 = (1/2)(x - 4)
maks197457 [2]
Y +6 =(1/2)(x+4)

y +6 = 1/2 x +2
y=1/2 x - 4

or 1/2 x -y = 4 
7 0
3 years ago
Read 2 more answers
What is the similarity between numbers 85,17,19,4,and 2
8_murik_8 [283]
<span>They are each divisors of 6460.

</span>
8 0
3 years ago
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