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2 years ago

Please check these please

Mathematics

2 answers:

mihalych1998 [28]2 years ago

6 0

Answer:

Two multiplied by the difference of a number and 7

Step-by-step explanation:

When a number isn't given a symbol we can assume that its multiplication because that's the default operation.

2(x-7)

(2∗x-)(2∗7)

2x-14

antoniya [11.8K]2 years ago

4 0

-5x=60

The first thing we want to do is to divide -5 on both sides. We do this because -5x, is the same as -5 times x and we want to do the inverse of that.

After we divide on both sides, we get x=60/-5

We know that 60 divided by -5 is -12.

Therefore our answer is: x=-12

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5= n + 2

We always want to get the variable to be alone, so if we subtract by 5 we would be doing the opposite of getting the variable alone. Although, if we subtract by 2 on both sides, we would get the variable alone and the answer would be 3=n

Therefore our answer is: False

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2(x-7)

By looking at this question, we see x being subtracted by 7. Then we see that 2 is being multiplied to that.

Therefore our answer is: C

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The product of a number and 4 increased by 8

In these types of questions, it's smart to break it up. We will start with the product of a number and 4. We know that a number is a variable and if we look at the multiple choice answers we can see that the variable they chose to use is n. We also know that a product is when numbers get multiplied. So that means 4 and n get multiplied which turns into 4n.

For the other part of the problem, we know that increased by 8 means added my 8. Now that we got our answers, we put then together.

Therefore our answer is: A 4n+8

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Pls give a like if this helped you!!!

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When an automobile is stopped with a roving safety patrol,each tire is checked for tire wear, and each headlight is checkedto se

ryzh [129]

Answer:

a) Joint ptobability distribution

$\begin{pmatrix} &Y=0&Y=1&Y=2&Y=3&Y=4\\X=0&0.3&0.05&0.025&0.025&0.1\\ X=1&0.18&0.03&0.015&0.015&0.06 \\ X=2&0.12&0.02&0.01&0.01&0.04\end{pmatrix}$

b) P(X<= 1 and Y <= 1) = P(X<= 1) * P(Y<=1) = 0.56

c) P(X + Y = 0)=0.3

d) P(X + Y <= 1)=0.53

Step-by-step explanation:

We have to construct the joint probability table with the marginal probabilities of X and Y.

X can take values from 0 to 2, and Y can take values from 0 to 4.

We can calculate each point of the joint probability as:

$P(x,y)=P_x(x)*P_y(y)$

Then, the joint probabilities are:

X=0 Y=0 Px=0.5 Px=0.6 P(0,0)=0.3

X=0 Y=1 Px=0.5 Px=0.1 P(0,1)=0.05

X=0 Y=2 Px=0.5 Px=0.05 P(0,2)=0.025

X=0 Y=3 Px=0.5 Px=0.05 P(0,3)=0.025

X=0 Y=4 Px=0.5 Px=0.2 P(0,4)=0.1

X=1 Y=0 Px=0.3 Px=0.6 P(1,0)=0.18

X=1 Y=1 Px=0.3 Px=0.1 P(1,1)=0.03

X=1 Y=2 Px=0.3 Px=0.05 P(1,2)=0.015

X=1 Y=3 Px=0.3 Px=0.05 P(1,3)=0.015

X=1 Y=4 Px=0.3 Px=0.2 P(1,4)=0.06

X=2 Y=0 Px=0.2 Px=0.6 P(2,0)=0.12

X=2 Y=1 Px=0.2 Px=0.1 P(2,1)=0.02

X=2 Y=2 Px=0.2 Px=0.05 P(2,2)=0.01

X=2 Y=3 Px=0.2 Px=0.05 P(2,3)=0.01

X=2 Y=4 Px=0.2 Px=0.2 P(2,4)=0.04

We can write it in the form of a matrix:

$\begin{pmatrix} &Y=0&Y=1&Y=2&Y=3&Y=4\\X=0&0.3&0.05&0.025&0.025&0.1\\ X=1&0.18&0.03&0.015&0.015&0.06 \\ X=2&0.12&0.02&0.01&0.01&0.04\end{pmatrix}$

b) From the joint probability P(X<= 1 and Y <= 1) is equal to

$P(X\leq 1 \& Y \leq 1)=P(0,0)+P(0,1)+P(1,0)+P(1,1)\\\\P(X\leq 1 \& Y \leq 1)=0.3+0.05+0.18+0.03=0.56$

We can calculate P(X<= 1) * P(Y<=1)

$P_x(X\leq 1)=P_x(0)+P_x(1)=0.5+0.3=0.8\\\\P_y(Y\leq1)=P_y(0)+P_y(1)=0.6+0.1=0.7\\\\P_x(X\leq1)*P_y(Y\leq1)=0.8*0.7=0.56$

Both calculations give the same result.

c) Probability of no violations

$P(X+Y=0)=P(0,0)=0.3$

d) P(X + Y <= 1)

$P(X+Y \leq 1)=P(0,0)+P(0,1)+P(1,0)\\\\P(X+Y \leq 1)=0.3+0.05+0.18=0.53$

5 0

3 years ago

40% written as a decimal

Natasha2012 [34]

40%= 0.40 if you think of the decimal being at the end of the number (40.%) than just move the decimal twice makes it 0.40

8 0

3 years ago

Charles wants to find out if the students in foreign language classes spend more time in class speaking in English or in the for

Ganezh [65]

Answer:

English always in class

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3 years ago

Translate into an algebraic expression and simplify if possible. I have a total of 10 gigabytes of data on my computer, xgigabyt

pogonyaev

Answer:

(20-3x)/2 GB

Explanation:

Total amount of data on my computer = 10GB

Total amount of data occupied by movies = x GB

If pictures take up half the amount of space that movies do, then;

Total amount of data occupied by pictures = 1/2 of space occupied by movies = 1/2 x

If the remaining are music, the amount of space occupied by music will be expressed as shown;

Total space -(space occupied by movies + space occupied by pictures)

= 10 - (x+1/2 x)

Total amount of data occupied by music = 10 - (x+1/2 x) GB

On simplification;

= 10 - (x+1/2 x)

= 10-{(2x+x)/2}

= 10 - {3x/2}

= (20-3x)/2 GB

Hence, amount of gigabytes of music stored on my computer is expressed as (20-3x)/2 GB.

4 0

3 years ago

L(1,-2),N(-6,3) slope of the line

Leto [7]

Answer:

$-\frac{5}{7}$

Step-by-step explanation:

3--2/-6-1=

3+2/-7

5/-7

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3 years ago

Read 2 more answers