All categories

3 years ago

How do you solve this complex fraction

Mathematics

1 answer:

SVEN [57.7K]3 years ago

4 0

If I am correct it will equal 23.
Explanation: x2 + 4x +2 =7, x2 +x+3 =23

You might be interested in

6 1/6 6 1/3 6 2/3 6 3/2

Vladimir [108]

Given:

The expression is

$\sqrt{\sqrt[3]{6}}$

To find:

The simplified form of the given expression.

Solution:

We have,

$\sqrt{\sqrt[3]{6}}$

Using the properties of radical and exponent, we get

$=(\sqrt[3]{6})^{\frac{1}{2}}$ $[\because \sqrt{x}=x^{\frac{1}{2}}]$

$=\left(6^{\frac{1}{3}}\right)^{\frac{1}{2}}$ $[\because \sqrt[n]{x}=x^{\frac{1}{n}}]$

$=6^{\frac{1}{3}\times\frac{1}{2}}$ $[\because (a^m)^n=a^{mn}]$

$=6^{\frac{1}{6}}$

Therefore, the correct option is A.

8 0

3 years ago

A random sample of 64 second-graders in a certain school district are given a standardized mathematics skills test. The sample m

svet-max [94.6K]

Answer:

Given : The sample mean score is 51.48 .

The standard deviation for the population of test scores is 15.

The nationwide average score on this test is 50.

To Find : Perform the hypothesis test and compute the P-value?

Solution:

Sample size = n = 64

Since n > 30

So, we will use z test over here

We are supposed to find The school superintendent wants to know whether the second-graders in her school district have greater math skills than the nationwide average.

Hypothesis : $H_0:\mu \leq 50\\H_a:\mu>50$

Formula of z test : $z =\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

$x = 51.48\\\mu = 50\\\sigma = 15\\ n = 64$

Substitute the values

$z =\frac{51.48-50}{\frac{15}{\sqrt{64}}}$

$z =0.789$

Find the value of P(z) from z table

p(z)=0.7823

Since we are given that we are supposed to find The school superintendent wants to know whether the second-graders in her school district have greater math skills than the nationwide average.

So, p value = 1-P(z) = 1-0.7823=0.2177

In general , Level of significance is 0.05

So, p value is greater than alpha.

So, we accept the null hypothesis.

5 0

3 years ago

Read 2 more answers

Two events, X and Y, are independent of each other. P(Y) = 5/6 and P(X and Y) = 1/3. What is P(X) written as a decimal? Round to

Ksenya-84 [330]

For independent events,
P(X ∩ Y) = P(X)* P(Y)
=>
1/3 = P(X)*(5/6)
solve for P(X) =>
P(X) = (1/3)*(6/5) = 2/5 = 0.4

5 0

3 years ago