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STatiana [176]
2 years ago
12

Calculate each of the followi(a) 2.31x6.4​

Mathematics
2 answers:
Marta_Voda [28]2 years ago
8 0

Answer:

14.784

Step-by-step explanation:

kondaur [170]2 years ago
3 0
The answer is 14.784
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A study indicates that 62% of students have have a laptop. You randomly sample 8 students. Find the probability that between 4 a
Scrat [10]

Answer:

72.69% probability that between 4 and 6 (including endpoints) have a laptop.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they have a laptop, or they do not. The probability of a student having a laptop is independent from other students. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A study indicates that 62% of students have have a laptop.

This means that n = 0.62

You randomly sample 8 students.

This means that n = 8

Find the probability that between 4 and 6 (including endpoints) have a laptop.

P(4 \leq X \leq 6) = P(X = 4) + P(X = 5) + P(X = 6)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 4) = C_{8,4}.(0.62)^{4}.(0.38)^{4} = 0.2157

P(X = 5) = C_{8,5}.(0.62)^{5}.(0.38)^{3} = 0.2815

P(X = 6) = C_{8,6}.(0.62)^{6}.(0.38)^{2} = 0.2297

P(4 \leq X \leq 6) = P(X = 4) + P(X = 5) + P(X = 6) = 0.2157 + 0.2815 + 0.2297 = 0.7269

72.69% probability that between 4 and 6 (including endpoints) have a laptop.

3 0
3 years ago
Find the GCF of the terms of the polynomial.<br> 26x2 + 34x4
Ivanshal [37]

Answer:

D) 2x<u>2</u>

Step-by-step explanation:

i got i right on the test

8 0
3 years ago
A seagull has a vertical position a, and a shark has a vertical position b. Draw and label a point on the vertical axis to show
notsponge [240]

Answer:

Image attached

Step-by-step explanation:

The question asks to represent the position of two animals in a the cartesian coordinates plane. This is two perpendicular axis, the y-axis is the vertical one and the x-axis is the horizontal one. The animals are represented by dots, called a for the seagull and b for the shark.

Since the y-axis is the vertical axis and they ask to draw the points with a verical difference between them, we will draw the points in it.

Say the x-axis represents the sea surfice. The seagull would be over the sea, and the shark under the sea surfice (under x-axis).

This is the resulting drawing

5 0
3 years ago
Quadrilateral WXYZ is on a coordinate plane. Segment XY is on the line x − 3y = −12, and segment WZ is on the x − 3y = −6. Which
Nostrana [21]

Answer:

Equation shown

Step-by-step explanation:

Eq(1): x-3y=-12

X=-12+3y

=-4+y

Eq(2): x-3y=-6

X=-6+3y

=-2+y

4 0
3 years ago
Read 2 more answers
Use properties of equality to Solve 7+3x = 5x+13 for x
mario62 [17]
We basically have to cancel values on both sides until they are both on common ground.

7 + 3x = 5x + 13

-7 from both sides...

3x = 5x + 6

-5x from both sides...

-2x = 6

/-2 from both sides...

x = -3


Hope this helps!
8 0
3 years ago
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