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2 years ago

. Complete each equation with a number so that the equation has the stated solution(s). a) x^2+7=x^2+_____; no solution

Mathematics

1 answer:

Lemur [1.5K]2 years ago

5 0

Answer: other than 7

Step-by-step explanation:

Given

Equation is $x^2+7=x^2+?$

For an equation to have no solution, the missing number can be any number other than 7

because if we put 7 then it justifies the equation i.e. $7=7$ while on the other hand for a number other than 7, it does not justify the equation.

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What is the product of 5x10 to the power of 2

ratelena [41]

50^2 = 50 to the power of 2 = 2.5 × 10^3

Explanation:

(50) to the 2nd power or simply '50 to the 2nd' is obtained by multiplying 2 times the base 50 by itself. So,

50^2 = 50 × 50 = 2.5 × 10^3

Note: We say that 50 is the base, 2 is the exponent, and the whole thing or the result is a power of 50.

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3 years ago

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Could you help me with this. Express in simplest radical form. 162

Ivanshal [37]

Answer:

The square root of 162 in its simplest form means to get the number 162 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 162 like this:

√162

The largest perfect square of the factors of 162 is 81. We can therefore convert √162 like this:

√81 × 2

Next, we separate the numbers inside the √ as such:

√81 × √2

√81 is a perfect square that equals 9. We can therefore put 9 outside the radical and get the final answer to square root of 162 in simplest radical form as follows:

9√2

Step-by-step explanation:

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2 years ago

a random sample of 4 claims are selected from a lot of 12 that has 3 nonconforming units. using the hypergeometric distribution

Sloan [31]

Answer:

The probability that the sample will contain exactly 0 nonconforming units is P=0.25.

The probability that the sample will contain exactly 1 nonconforming units is P=0.51.

Step-by-step explanation:

We have a sample of size n=4, taken out of a lot of N=12 units, where K=3 are non-conforming units.

We can write the probability mass function as:

$P(x=k)=\frac{\binom{K}{k}\binom{N-K}{n-k}}{\binom{N}{n}}$

where k is the number of non-conforming units on the sample of n=4.

We can calculate the probability of getting no non-conforming units (k=0) as:

$P(x=0)=\frac{\binom{3}{0}\binom{9}{4}}{\binom{12}{4}}=\frac{1*126}{495}=\frac{126}{495} = 0.25$

We can calculate the probability of getting one non-conforming units (k=1) as:

$P(x=1)=\frac{\binom{3}{1}\binom{9}{3}}{\binom{12}{4}}=\frac{3*84}{495}=\frac{252}{495} = 0.51$

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3 years ago

What ere the coordinates of the point on the directed line segment from (-1,7) to (7,7) that partitions the segment into a ratio

djverab [1.8K]

Answer:

$(\frac{37}{11},\frac{77}{11} )$

Step-by-step explanation:

Given two points are (-1,7) and (7,7).

We are told to find a point which is in between them at a ratio of 6:5.

Formula for calculating a point at distance of ratio m:n is given by

$(\frac{mx2+nx1}{m+n} ,\frac{my2+ny1}{m+n} )$

where $(x1,y1),(x2,y2)$ are the inital and final points.

$(x1,y1)=(-1,7)\\\\(x2,y2)=(7,7)$

also m:n=6:5 ,

by substituting all the values we get,

$(\frac{6*7+5*-1}{11} ,\frac{6*7+5*7}{11} )$

$(\frac{37}{11},\frac{77}{11} )$

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3 years ago

I need help please!!!!?

evablogger [386]

The answer would be n<4 because 4 is greater than n.

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3 years ago

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