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2 years ago

Lena spins the spinner once. What is probability that she will land on

Mathematics

1 answer:

mestny [16]2 years ago

4 0

Answer:

$\frac{2}{5}$

Step-by-step explanation:

These individual slices are equal size, so they have an equal chance of being landed on.

There are 4 white slices out of the 10 total slices.

This means there's a $\frac{4}{10}$ chance Lena will land on white.

$\frac{4}{10}$ simplified is $\frac{2}{5}$ .

You might be interested in

Given △XPS≅△DNF, find the values of x and y.

White raven [17]

Answer:

x = 3

y = 15

Step-by-step explanation:

If △XPS ≅△DNF, their corresponding sides would be congruent. This implies that:

XP ≅ DN

PS ≅ NF

XS ≅ DF

Given that:

XP = 4y - 3

DN = 57

NF = 51

XS = 17x + 3

DF = 54

Therefore:

XP = DN

4y - 3 = 57 (Substitution)

Add 3 to both sides

4y = 57 + 3

4y = 60

Divide both sides by 4

y = 60/4

y = 15

Also,

XS = DF

17x + 3 = 54 (substitution)

Subtract 3 from each side

17x = 54 - 3

17x = 51

Divide both sides by 17

x = 51/17

x = 3

4 0

2 years ago

Suppose that a college determines the following distribution for X = number of courses taken by a full-time student this semeste

lidiya [134]

Answer:

$E(X) = \sum_{i=1}^n X_i P(X_i) = 3*0.07 +4*0.4 +5*0.25 +6*0.28= 4.74$ In order to find the variance we need to calculate first the second moment given by:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 3^2*0.07 +4^2*0.4 +5^2*0.25 +6^2*0.28= 23.36$ And the variance is given by:

$Var(X) = E(X^2) +[E(X)]^2 = 23.36 -[4.74]^2 = 0.8924$

And the deviation would be:

$Sd(X) =\sqrt{0.8924} =0.9447$

Step-by-step explanation:

Previous concepts

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.

The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).

Solution to the problem

For this case we have the following distribution given:

X 3 4 5 6

P(X) 0.07 0.4 0.25 0.28

We can calculate the mean with the following formula:

$E(X) = \sum_{i=1}^n X_i P(X_i) = 3*0.07 +4*0.4 +5*0.25 +6*0.28= 4.74$

In order to find the variance we need to calculate first the second moment given by:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 3^2*0.07 +4^2*0.4 +5^2*0.25 +6^2*0.28= 23.36$

And the variance is given by:

$Var(X) = E(X^2) +[E(X)]^2 = 23.36 -[4.74]^2 = 0.8924$

And the deviation would be:

$Sd(X) =\sqrt{0.8924} =0.9447$

3 0

3 years ago

Factor 8c + 10c?.<br> ✅p

Rashid [163]

Answer: 18 c

Step-by-step explanation: since they have the same variables you can easily just add them together

7 0

3 years ago

Read 2 more answers

What is 4(n-4)+14 equal if n=5

djyliett [7]

Answer:

Step-by-step explanation:

Given

4(n - 4) + 14 ← substitute n = 5 into the expression

= 4(5 - 4) + 14

= 4(1) + 14

= 4 + 14

= 18

5 0

2 years ago

Read 2 more answers

A cube with faces numbered 1 through 6 is rolled 75 times and the results are given in the table below

iren [92.7K]

Answer:

Step-by-step explanation:

where are the results?

3 0

2 years ago