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disa [49]
3 years ago
5

(a) the probability that a vampire bat would pick A (b) the probability that a vampire bat would pick C (c) the probability that

a vampire bat would pick T
Mathematics
1 answer:
grin007 [14]3 years ago
3 0

Answer:

See Explanation

Step-by-step explanation:

See attachment for complete question.

From the attachment, we have that:

A = 71

C = 121

T = 66

First, we calculate the total

Total = A + C + T

Total = 71 + 121 + 66

Total = 258

Solving (a): Probability of A

This is calculated using:

Probability = \frac{A}{Total}

Probability = \frac{71}{258}

Probability = 0.275

Solving (b): Probability of C

This is calculated using:

Probability = \frac{C}{Total}

Probability = \frac{121}{258}

Probability = 0.469

Solving (b): Probability of T

This is calculated using:

Probability = \frac{T}{Total}

Probability = \frac{66}{258}

Probability = 0.256

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The amount of time needed for a certain machine to process a job is a random variable with mean EXi = 10 minutes and Var(Xi)=2 m
lana66690 [7]

Answer:

0.98732

Step-by-step explanation:

Given that :

Mean = 10 minutes

Variance = 2 minutes

For less than equal 40 jobs

Mean (m) = 40 * 10 = 400 minutes

Variance = 2 * 40 = 80 minutes

Standard deviation (s) = √variance = √80

Converting hours to minutes

X = 60 * 7 = 420 minutes

P(X≤ 420) :

Z = (x - m) / s

P(X≤ 420) :

Z = (420 - 400) / √80

Z = 20 / √80 = 20 / 8.9442 = 2.236

P(Z ≤ 2.236) = 0.98732

4 0
3 years ago
Put this into Slope Intercept Form<br> x + 6y = –6
mel-nik [20]

Answer:

y=-\frac{x}{6} -1

Step-by-step explanation:

Hi there!

We are given the following equation:
x+6y=-6

And we want to convert it into slope-intercept form

Slope-intercept form is known as y=mx+b, where m is the slope and b is the y intercept

The equation is currently in standard form, which is ax+by=c, where a, b, and c are integer coefficients

Notice how in standard form, both the terms that contain x and y are on one side, but in slope-intercept form, y is by itself on one side

So essentially, in order to convert from standard form to slope-intercept form, we need to solve for y

Here is our equation again:

x+6y=-6

Start by subtracting x from both sides

x+6y=-6

-x       -x

_______________

6y=-x-6

Now divide both sides by 6

y=-\frac{x}{6} -\frac{6}{6}
We can simplify the fractions to become:

y=-\frac{x}{6} -1
Hope this helps!

See more on converting from standard to slope-intercept form here: brainly.com/question/26579052

6 0
2 years ago
The vertex of the parabola below is at the point (2, 4), and the point (3, 6) is on the parabola. what is the equation of the pa
Paraphin [41]

Given:

Vertex ===> (h, k) (2, 4)

The parabola passes through the point: (x, y) ==> (3, 6)

Let's find the equation of a parabola.

To find the equation, use the general equation of a parabola with vertex (h, k):

y=a(x-h)^2+k_{}

Where:

(h, k) ==> (2, 4)

(x, y) ==> (3, 6)

Substitute values into the general equation:

\begin{gathered} 6=a(3-2)^2+4 \\  \\ 6=a(1)^2+4 \\  \\ 6=a+4 \end{gathered}

Subtract 4 from both sides:

\begin{gathered} 6-4=a+4-4 \\  \\ 2=a \\  \\ a=2 \end{gathered}

Substitute 2 for a, and input the values of the vertex (h, k) in the general vertex equation:

y=2(x-2)^2+4

Therefore, the equation of the parabola is:

y=2(x-2)^2+4

ANSWER:

y=2(x-2)^2+4

3 0
1 year ago
Question 13 of 20 :
grin007 [14]

Answer:

C. 70.4

Step-by-step explanation:

22% × 320 =

(22 ÷ 100) × 320 =

(22 × 320) ÷ 100 =

7,040 ÷ 100 =

70.4

8 0
3 years ago
Pls help I need a good grade
maw [93]
Number 2 would be b. 7/12= 0.583 repeating
6 0
3 years ago
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