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kykrilka [37]
3 years ago
11

Identify a line that looks like a number line

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
7 0
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X is a normally Distributed random variable with a standard deviation of 4.00. Find the mean of X when 64.8% of the area lies to
Cerrena [4.2K]

Answer:

7

Step-by-step explanation:

σ = 4 ; μ =?

8.52 to the left of X

.

P(X < 8.52) = 64.8%

P(X < 8.52) = 0.648

Using the Z relation :

(x - μ) / σ

P(Z < (8.52 - μ) / 4)) = 0.648

The Z value of 0.648 of the lower tail is equal to 0.38 (Z probability calculator)

Z = 8.52 - μ / 4

0.38 = 8.52 - μ / 4

0.38 * 4 = 8.52 - μ

1.52 = 8.52 - μ

μ = 8.52 - 1.52

μ = 7

5 0
3 years ago
Select the correct ratios.
Goshia [24]
65:100 because there are 65 girls and then 65 girls + 35 boys = 100 total students
4 0
2 years ago
Write real world problem that involves a positive and a negative value.then graph the values used in the problem on a number lin
Reil [10]
I got a $5000 scholarship. I spent $300 on a Nintendo Switch. How much money do I have now?
8 0
3 years ago
Solve x2 + 1/2x +1/16=4/9
kolezko [41]

<u>Answer:</u>

x = 0.417 or x = -0.917

<u>Step-by-step explanation:</u>

We are given the following expression and we are to solve it for the variable x:

x ^2 + \frac { 1 } { 2 } x + \frac { 1 } { 1 6 } = \frac { 4 } { 9 }

We will find the least common multiple of 2. 6 and 9:

x^2 \times 144 +\frac{1}{2}x \times 144 +\frac{1}{16} \times 144 = \frac{4}{9} \times 144

Simplifying it to get:

144x^2+72x+9=64

144x^2+72x+9-64=0

144x^2+72x-55=0

Using the quadratic formula to solve for x:

x=\frac{-b \pm\sqrt{b^2-4ac} }{2a}

x=\frac{-72 \pm\sqrt{72^2-4(144)(-55)} }{2a}

x=\frac{5}{12} or 0.417

x=-\frac{11}{12} or -0.917

3 0
3 years ago
In how many ways can 10 people be divided into three groups with 2, 3, and 5 people respectively?
Liula [17]

Answer:

2100

Step-by-step explanation:

In how many ways can a group of 10 people be divided into three groups consisting of 2,3, and 5 people?

First, you need to choose 4 people to fill the first group.

The number of ways is (104) which equals to 210.

Then, pick 3 more people out of the remaining 6 to be in the second group. And then, pick 3 more out of the remaining 3.

However, we need to divide it by 2, since we don’t really care on the order of selection of group.

(63)(33)/2=10

So, there are 210 x 10 = 2100 ways

6 0
3 years ago
Read 2 more answers
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