All categories

3 years ago

Solve: x=4+(4x-4)1/2

Mathematics

2 answers:

Damm [24]3 years ago

8 0

Answer:

x = 10

Step-by-step explanation:

x = 4 + (4x-4) ^ (1/2)

First, we rewrite the expression:

x = 4 + (4x-4) ^ (1/2)

x = 2 (2+ (x-1) ^ (1/2))

x = 4 + 2 (x-1) ^ (1/2)

From here we get a solution for x = 10

To check it we substitute x = 10 in the expression:

10 = 4 + 2 (10-1) ^ (1/2)

10 = 4 + 2 (9) ^ (1/2)

10 = 4 + 2 (3)

10 = 4 + 6

10 = 10

Answer:

The solution is:

x = 10

GaryK [48]3 years ago

5 0

Answer:

C. x = 10

Step-by-step explanation:

edgen 2020

You might be interested in

If you needed to reflect (-4,-5) over the y-axis what would the<br> coordinates be?

Triss [41]

Answer: The coordinates would be (4,-5)

6 0

2 years ago

Read 2 more answers

What is the area of a triangle with a height of 14 feet and a base of 10 feet

timama [110]

Answer:

Area is 70ft

Step-by-step explanation:

Area of a triangle is A=b × h/ 2 or A=1/2×bh

Let height equal h & base equal b

So,

h=14

b=10

Solve,

A=1/2×14×10

A=1/2×140

A=70

Therefore, the area is 70 feet

7 0

3 years ago

Read 2 more answers

Q6. (15 points) IQ examination scores of 500 members of a club are normally distributed with mean of 165 and SD of 15.

melamori03 [73]

Answer:

a) 0.8413

b) 421

c) $P_{95} = 189.675$

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 165

Standard Deviation, σ = 15

We are given that the distribution of IQ examination scores is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(IQ scores at most 180)

P(x < 180)

$P( x < 180) = P( z < \displaystyle\frac{180 - 165}{15}) = P(z < 1)$

Calculation the value from standard normal z table, we have,

$P(x < 180) = 0.8413 = 84.13\%$

b) Number of the members of the club have IQ scores at most 180

n = 500

$\text{Members} = n\times \text{P(IQ scores at most 180)}\\= 500\times 0.8413\\=420.65 \approc 421$

c) P(X< x) = 0.95

We have to find the value of x such that the probability is 0.95

$P( X < x) = P( z < \displaystyle\frac{x - 165}{15})=0.95$

Calculation the value from standard normal z table, we have,

$P(z < 1.645) = 0.95$

$\displaystyle\frac{x - 165}{15} = 1.645\\\\x = 189.675$

$P_{95} = 189.675$

8 0

3 years ago

A coffee pot holds 2 3/4 quarts of coffee. How much is this in cups?

olga55 [171]

The answer is 11 us cups

4 0

3 years ago

Read 2 more answers

What is the inverse of the function Fox(x) = 2x + 1?

AysviL [449]

Answer:

f ^−1(x)=x/2−1/2

Step-by-step explanation:

4 0

3 years ago