Simplify using the distributive property
Which number can be distributed across two terms inside parentheses

Answer:

There are 720 possible sequences of assembly that must be tested.

Step-by-step explanation:

We are given that;

No. of wires needed to be attached to a circuit board = 6

We want to find the number of possible sequences of the assembly that must be tested.

From multiplication rule of counting;

Number of possible sequences of the assembly = 6!

1st selection of wire = 6 possible choices

2nd selection of wire = 5 possible choices

3rd selection of wire = 4 possible choices

4th selection of wire = 3 possible choices

5th selection of wire = 2 possible choices

6h selection of wire = 1 possible choice

Thus,

number of possible sequences = 6 × 5 × 4 × 3 × 2 × 1 = 720

Thus, there are 720 possible sequences of assembly that must be tested.

Answer:

The root of that equation are -1 -4 and 5

so the equation is (x -5) * (x +1) * (x +4)

(I may have that wrong and the answer MIGHT be:

(x -+5) * (x -1) * (x -4)

So, you have 2 answers and I KNOW 1 of those is correct.  :-)

Step-by-step explanation:

Answer:

It is the Square root of 21

Step-by-step explanation:

Answer:

the mean of the study times is greater than the median

Step-by-step explanation:

Answer:

C. WP WB, WC, PB, PC, BC

Step-by-step explanation:

List the possible combinations. (With no duplicates)

WP, WB, WC

PB, PC

BC

Now check your options for the answer with the combinations you had.

That is your answer.

Answer:150

Step-by-step explanation:50 + 100=150 150 - 300=150

Answer:

0

Step-by-step explanation:

100+50=150

150-150=0

0×2=0

Answer:

each cup cost 1.25 on Tuesday

Answer:

5 units long

Step-by-step explanation:

If you graph it, it is a simple straight line 5 units long between A and B.

You could also use the distance formula if you had to do more advanced distance calculations.

The distance formula is d=√((x2-x1)²+(y2-y1)²)

Answer:

The answer is below

Step-by-step explanation:

A national standard requires that public bridges over 20 feet in length must be inspected and rated every 2 years. The rating scale ranges from 0​ (poorest rating) to 9​ (highest rating). A group of engineers used a probabilistic model to forecast the inspection ratings of all major bridges in a city. For the year​ 2020, the engineers forecast that 4​%of all major bridges in that city will have ratings of 4 or below.

a. Use the forecast to find the probability that in a random sample of major bridges in the​ city, at least 3 will have an inspection rating of 4 or below in 2020.

Answer:

This problem is a probability binomial distribution and it can be solved using the formula:

[tex]P(X=x)=C(n,x)p^xq^{n-x}\\\\q=1-p,C(n,x)=\frac{n!}{x!(n-x)!}[/tex]

Hence the solution to the problem is given as:

P(x ≥ 3) = 1 - P(x < 3) = 1 - [ P(x=0) + P(x=1) + P(x = 2)]

Given that p = 4% = 0.04, q = 1 - p = 1 - 0.04 = 0.96, n = 10. Hence:

[tex]P(x=0)=C(10,0)*0.04^{0}*(0.96)^{10-0}=0.6648\\\\P(x=1)=C(10,1)*0.04^{1}*(0.96)^{10-1}=0.277\\\\P(x=2)=C(10,2)*0.04^{2}*(0.96)^{10-2}=0.0519\\\\P(x\geq 3)=1-[0.6648+0.277+0.0519]=0.0063[/tex]

9514 1404 393

Answer:

  £612

Step-by-step explanation:

If Brian wants to add 80% of the cost to the cost, the selling price will be ...

  £340(100% +80%) = £340·1.80 = £612

Brian May should ask £612 for the guitar.

Answer:

2 gallons

Step-by-step explanation:

divide 6 by 3 because that's the amount

Answer:

2 gallons

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Divide the sum obtained in preceding step by total number of frequencies.

Answer:

23.5 weeks.

Step-by-step explanation:

470/20 is 23.5

Answer:

23.5 weeks or 24 weeks

Step-by-step explanation:

470/20 = 23.5

If you are not rounding to the next week, then its 23.5.

If you are rounding to the next week, then it should be 24.

Answer:

x=3, y=7

x=-2, y=2

Step-by-step explanation:

System of Equations

We have the following equations:

[tex]y=-x^2+2x+10[/tex]

[tex]y=x+4[/tex]

We'll solve it by substitution. Since the second equation is already solved for y, we use that expression and substitute into the first equation:

[tex]x+4=-x^2+2x+10[/tex]

Since this is a quadratic equation, it's convenient to have all terms to one side:

[tex]x+4+x^2-2x-10=0[/tex]

Simplifying and reordering:

[tex]x^2-x-6=0[/tex]

Factoring:

[tex](x-3)(x+2)=0[/tex]

Solving:

x=3, x=-2

Those yield to two solutions for y:

y=x+4

y=7, y=2

The solutions of the system are:

x=3, y=7

x=-2, y=2

Answer:

y=3x-1

Step-by-step explanation:

To find the linear function you first need to put the equation into standard slope intercept form which is y=mx+b. m represents the slope and b represents where the line intercepts the y axis.

To figure it out you need to solve for y.

y-5=3(x-2)

Expand 3(x-2) to 3x-6.

y-5=3x-6

Isolate the y by adding 5 to both sides, giving you y=3x-1.

The slope is 3 and the Y intercept is -1.

Answer:

7.21+4.2

for 4.2 we can write it as 4.20 because 0 has no value after decimal point

then 7.21+4.20

by adding both we get 11.41

hope it helps you mate

please mark me as brainliast

Answer:

11.41

Step-by-step explanation:

7.21

+4.2

= 11.41

Answer:

9

Step-by-step explanation:

2x3=6

3x3=9

Answer:4818

Step-by-step explanation:7785-12603=4818

Answer:

53/60 of his homework time

Step-by-step explanation:

We need to find 1/12 of 4/5, which can be calculated via the addition:

1/12 plus 4/5

1/12 + 4/5 = 5/60 + 48/60 = 53/60

So Matek spent 53/60 of his homework time on writing or math

Answer:

x=0.173

Step-by-step explanation:

First thing I would do is add 1.026 to both sides. This would get you a equation that looked like, 6.74 x=1.164. Then just divide 1.164 and 6.74 by 6.74. This would get you x=0.1727003. Then because you have to round to the nearest thousand you have to round the 2 up because 7 is more then 5. Keep the first two number the same. The final answer is x=0.173.

Answer: Angles ABC and DBE are congruent

Answer:

$1050

Step-by-step explanation:

$600*15%*5=$450 interest

interest+borrowed=loan

$450+$600=$1050

I don't know the monthly payment sorry

Answer:

-5, 2.4, -2.25, -8, -12

Answer:

-5, 2.4, -2.25, -8, -12

Step-by-step explanation:

To make an number the opposite of itself you either make it a positive or negative. For example the opposite of 3 is -3 and the opposite of -3 is 3.

Answer:

I believe it is four hours

Step-by-step explanation:

Answer: 180

Step-by-step explanation: Try to find what 1% is, so do: 225/125, then you have 1%, now multiply that by 100 to find x. Your answer is 180.