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3 years ago

Simplify the expression - 1/8 -2/7 pls help :)

Mathematics

1 answer:

nignag [31]3 years ago

7 0

Answer: -23/56
Explanation: made common denominators to even out fractions then subtracted

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Determine if the given set is a subspace of set of prime numbers P 3. Justify your answer. The set of all polynomials of the for

forsale [732]

Answer:

It is not a subspace.

Step-by-step explanation:

So, the polynomial degree of at most 3 is given below as;

V = { p (z) = b0 + b1z + b2z^ + ... + bnz^n. |n is less than or equal to 3 and b0, b1, b2,... are integers.

To determine whether a subset is a subspace of Pn, we have to check for the properties below;

(1). Zero vector property : that is, when polynomial, p(z) = 0 and 0 is an integer.

(2). Addition property= here, we have; p(z) + h(z) = (b0 + b1z + b2z^2 +....+ bnz^n) + ( c0 + c1z + c^2z^2 +... + cnz^n). That is the sum of integers.

(3). Scaler multiplication property: the coefficient here may not be real numbers therefore, the condition is not followed here.

Therefore, it is not a subspace of Pn.

4 0

3 years ago

Simplify. |-1/2| PLEASE HELP!!!

laila [671]

Answer:

1/2

Step-by-step explanation:

absolute values means always positive so |-1/2| is 1/2

8 0

3 years ago

Read 2 more answers

A man and a woman agree to meet at a cafe about noon. If the man arrives at a time uniformly distributed between 11:40 and 12:10

kompoz [17]

Answer:

0.3888

Step-by-step explanation:

To solve the exercise we need a neutral time, so we define at 12:00 as time 0.

If the man arrives in a uniformly distributed time between 11:40 and 12:10, the time is distributed from -20 to 10.

If the woman arrives in a time evenly distributed between 11:45 and 12:20, the time is distributed from -15 to 20.

Assuming that each one arrives at 12: X and 12: Y for men and women, then the space of our time is defined as

Man [-20,10]

Woman [-15,20]

So,

$f_x(x)=\frac{1}{10-(-20)}=\frac{1}{30}\\f_y(y)=\frac{1}{20-(-15)}=\frac{1}{35}$

Then,

$f_{xy}(x,y)=f_x(x)f_y(y)=\frac{1}{30} \frac{1}{35} = \frac{1}{1050}$

The probability of finding an arrival less than 5 minutes is

$P(|X-Y|\leq 5) = \int\limit^20_{-15} \int\limit^{x+5}_{x-5} f(x,y)dydx$

$P(|X-Y|\leq 5)= \frac{1}{1050}\int\limit^{20}_{-15} y|^{x+5}_{x-5}dx$

$P(|X-Y|\leq 5)= \frac{35*10}{900}=0.3888$

6 0

3 years ago

HELPPP ITS AN EMERGENCY!!!!!!

attashe74 [19]

Answer:

The equation in point-slope is $\mathbf{y+5=3(x-6)}$

Step-by-step explanation:

We need to write the point-slope form of the equation of the line passing through the point (6,-5) and perpendicular to the line $y=-\frac{1}{3}x+4$

The general form of point-slope is; $y-y_1=m(x-x_1)$

where m is slope and $(x_1,y_1)$ is the point

We need to calculate slope.

We are given equation of line $y=-\frac{1}{3}x+4$ that is perpendicular to the required line.

The equation is given in slope-intercept form $y=mx+b$ where m is slope.

Comparing both equations we get m= -1/3

But we know that when lines are perpendicular their slopes are opposite reciprocal of each other i.e $m=-\frac{1}{m}$

So, slope of required line is m = 3 (opposite reciprocal of -1/3)

Now, the equation in point-slope form having slope m=3 and point (6,-5) is

$y-y_1=m(x-x_1)\\y-(-5)=3(x-6)\\y+5=3(x-6)$

So, The equation in point-slope is $\mathbf{y+5=3(x-6)}$

5 0

3 years ago

What is the approximate perimeter of △DEF?

jarptica [38.1K]

Answer:

C) 182.5

Step-by-step explanation:

i just took the test

8 0

3 years ago