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3 years ago

Please help!

Mathematics

1 answer:

Vlada [557]3 years ago

6 0

Option 3: $2^{\frac{5}{6}}$ is the right answer

Step-by-step explanation:

Given expression is:

$(\sqrt{2})(\sqrt[3]{2} )$

In order to simplify the expression we have to convert the radicals in exponents

$2^{\frac{1}{2}} . 2^{\frac{1}{3}}$

As he base is same, the powers can be added

$=2^{\frac{3+2}{6}}\\=2^{\frac{5}{6}}$

Hence,

Option 3: $2^{\frac{5}{6}}$ is the right answer

Keywords: Exponents, radicals

Learn more about exponents at:

#LearnwithBrainly

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Imagine that you have developed a genetic test to detect the dominant allele (A) that cause a rare genetic condition. As with mo

s344n2d4d5 [400]

Answer:

Correct option: (B) 1.495%.

Step-by-step explanation:

Denote the events as follows:

X = the test is positive.

A = a person with the dominant allele

The information given are:

$P(X|A)=1\\P (X|A^{c})=0.005\\P(A)=0.01$

According to the law of total probability the probability of an event A, conditional upon the occurrence of another event B is:

$P(A)=P(A|B)P(B)+P(A|B^{c})P(B^{c})$

Use this law to compute the probability of person having a positive result as follows:

$P(X)=P(X|A)P(A)+P(X|A^{c})P(A^{c})\\=(1\times0.01)+(0.005\times(1-0.01))\\=0.01+0.00495\\=0.01495$

The percentage of positive result is: 0.01495 × 100 = 1.495%.

Thus, the percentage of the population will give a positive test is 1.495%.

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3 years ago

Write down the set of multiples of 4 between 1 and 25.

jeka57 [31]

Answer:

2,3,4,5,6,7,8,9,10, that's it easy

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3 years ago

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Which of the following equations has a graph PARALLEL to the line y = 4x + 7

Kobotan [32]

Answer:

y = 4x - 2

Step-by-step explanation:

This equation has the same slope as the equation given which means that they are parallel lines. This equation also has a y-intercept of -2.

I graphed both equations below to show you that they are parallel.

If this answer is correct, please make me Brainliest!

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The ordered pairs represent a function.

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3 years ago

CAN ANYBODY HELP ME OUT

bija089 [108]

Answer:

Correct option is

b. If two sides and one included angle are equal in triangles PQS and PRS, then their corresponding sides are also equal.

Step-by-step explanation:

Here, we are given the line RQ, which is divided in two equal parts by a line PS which is perpendicular to RQ.

The foot S of PS is on the line RQ.

First of all, let us do a construction here.

Join the point R with P and P with Q.

Please refer to the attached image.

Now, let us consider the triangles PQS and PRS:

Side QS = RS (as given)

$\angle PSR = \angle PSQ = 90^\circ$

Side PS = PS (Common side in both the triangles)

Now, Two sides and the angle included between the two triangles are equal.

So by SAS congruence we can say that $\triangle PRS \cong \triangle PQS$

Therefore, the corresponding sides will also be equal.

RP = QP

RP is the distance between R and P.

QP is the distance between Q and P.

Hence, to prove that P is equidistant from R and Q, we have proved that:

b. If two sides and one included angle are equal in triangles PQS and PRS, then their corresponding sides are also equal.

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3 years ago