1/2 (b - 10) + 2b = 25

Answer:

1, 2, 3, 6

Step-by-step explanation:

Answer:

4/5 = 80/100 = 80%

4/5 = 0.8

Answer:

19m - 10

Step-by-step explanation:

Order of Operation: BPEMDAS

Step 1: Write out equation

5(3m - 2) + 4m

Step 2: Distribute parenthesis

15m - 10 + 4m

Step 3: Combine like terms

19m - 10

Answer:

(a) The probability that fewer than 3 components will fail is  0.8392.

(b) The mean likely number of failures is 1.44.

Step-by-step explanation:

We are given that a complicated mechanical system contains 8 components. If there is an 18% chance that each component will fail during processing, and components fail independently of each other.

Let X = Number of components fail during processing

The above situation can be represented through the binomial distribution;

[tex]P(X=r) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r} ;x=0,1,2,.....[/tex]

where, n = number of samples (trials) taken = 8 components

            r = number of success = fewer than 3 components will fail

           p = probability of success which in our question is the probability

                 that each component will fail during processing, i.e. p = 18%

SO, X ~ Binom(n = 8, p = 0.18)

(a) The probability that fewer than 3 components will fail is given by = P(X < 3)

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

= [tex]\binom{8}{0}\times 0.18^{0} \times (1-0.18)^{8-0}+ \binom{8}{1}\times 0.18^{1} \times (1-0.18)^{8-1}+ \binom{8}{2}\times 0.18^{2} \times (1-0.18)^{8-2}[/tex]

= [tex]1 \times 1 \times 0.82^{8}+ 8 \times 0.18^{1} \times 0.82^{7}+28 \times 0.18^{2} \times 0.82^{6}[/tex]

= 0.8392

(b) The mean likely number of failures is given by the following formula;

      Mean of X, E(X) = n [tex]\times[/tex] p

                                 = [tex]8 \times 0.18[/tex] = 1.44

Hence, the mean likely number of failures is 1.44.

Answer:

4 units ; counter clockwise ; 2.09 units

Step-by-step explanation:

Given the following :

x = 4 cos 3t

y = 4 sin 3t

The Radius (r) could be obtained using Pythagoras:

R = √(x^2 + y^2)

R = √[(4cos3t)^2 + (4sin3t)^2]

R = √[16cos^(2)3t + 16sin^(2)3t]

Recall : cos^2θ + sin^2θ = 1

Therefore, cos^(2)3t + sin^(2)3t= 1

Where, 3t stands for θ

R = √[16cos^(2)3t + 16sin^(2)3t]

Factorizing:

R = √16[cos^(2)3t + sin^(2)3t)]

R = √16[1]

R = √16

R = 4 units

Position at time t = 0

x = 4 cos 3(0)

x = 4 cos 0

x = 4 * 1 = 4 units

y = 4 sin 3t

y = 4 sin 3(0)

y = 4 * sin 0

y = 0

Position at t = 0;

(x, y) = (4, 0) = counterclockwise

Time taken to complete 1 complete revolution:

2π/3 = 6.2831853 /3 = 2.0943951

= 2.09

Answer:

sqrt(157) ft is the length of the diagonal

Step-by-step explanation:

We can use the Pythagorean theorem to find the length of the diagonal

a^2 + b^2 = c^2

6^2 + 11 ^2 = c^2

36+ 121 = c^2

157 = c^2

Take the square root of each side

sqrt(157) = sqrt(c^2)

sqrt(157) = c

Answer:

sqrt(157) ft is the length of the diagonal

Step-by-step explanation:

We can use the Pythagorean theorem to find the length of the diagonal

a^2 + b^2 = c^2

6^2 + 11 ^2 = c^2

36+ 121 = c^2

157 = c^2

Take the square root of each side

sqrt(157) = sqrt(c^2)

sqrt(157) = c

Answer:

27, 38, and 51

Step-by-step explanation:

3, 6, 11, 18, ...

We increase the first number by 3.  Then 5.  Then 7.

The pattern is that the difference increases by 2.

That means this is a quadratic sequence.

y = x² + 2, where x = 1, 2, 3, etc.

The next three numbers are 27, 38, and 51.

Answer:

$160, basic multiplication ^^

Step-by-step explanation:

20×8=160

Answer:

$20 x 8

=$160

Multiplication

Hope it helped u if yes mark me BRAINLIEST pzllzllzl

Answer:

Domain: [tex](-\infty,\infty)[/tex]

Range: [tex][-5,\infty)[/tex]

C

Step-by-step explanation:

Please refer to the graph.

Recall that the domain is the span of x-values covered by the graph, while the range is the span of y-values covered by the graph.

So we have the equation.

[tex]y=(x+3)^2-5[/tex]

This is a quadratic.

The domain of a quadratic is all real numbers. If you look at the graph, we can also see that the x-values will go on infinitely in both direction.

In interval notation, this is:

[tex](-\infty,\infty)[/tex]

For the range, note that the lowest the parabola goes is y=-5.

Therefore, our range is all values greater than or equal to -5.

In interval notation, this is:

[tex][-5,\infty)[/tex]

Note that we use brackets for the -5 because it is included in our range.

So, our answer is C

Answer:

Step-by-step explanation:

the domain and range of  y = (x+3)^2 - 5

Doman: (-∞,∞). {x|x∈R}

Range:{-5,∞),{y|y≥-5}

the solution is C

Answer:

2029

Step-by-step explanation:

We can write an equation:

0.28+0.006x=0.51

A few things explained:

The constant 0.28 comes from the fact in 1990, 28% of babies were born to parents who were not married. 28%=0.28

0.006 represents 0.6% and x represents the number of years will pass until 49% of babies will be born out of wedlock

0.51 represents 51%. 51% represents the percentage of babies who will be born to parents not married (100% - 49%=51%). You want to use 51% instead of 49% because the right side represents the babies born to parents not married.

We can solve the equation:

0.28+0.006x=0.51

0.006x=0.23

x=38.33

Since you can't have 38.3333 years, we'll say that 39 will pass until 49% of babies are born out of wedlock.

So, we add 39 years to 1990.

1990+39=2029

Hope this helps!

Answer:

We use the rule of three

7 miles ---------------> 60 minutes

So x ------------------> 24 minutes

So x= (24 minutes × 7 miles )/60 minutes .

We simplify by 《minutes》 because it's in the numerator and the denominator .

So x= (24×7 miles )/60

x = 168 miles /60

x=2,8 miles

So Miguel runs 2,8 miles in 24 minutes.

Answer:

[tex]\Huge \boxed{42x+7} \\ \\ \\ \Huge \boxed{x+18}[/tex]

Step-by-step explanation:

Part 1:

[tex]7(6x + 1)[/tex]

Distribute 7 to the terms in the brackets.

[tex]7(6x)+7(1)[/tex]

[tex]42x+7[/tex]

Part 2:

[tex]4+(14+x)[/tex]

Removing brackets.

[tex]4+14+x[/tex]

Combining like terms.

[tex]18+x[/tex]

Answer:

i) 3/4

ii) 1/3

iii) 1/3

iv) 5/6 cents

Step-by-step explanation:

Any ratio can be written as a fraction.

For example 3:4 can be writen as 3/4 or 14:42 as 14/42.

After you convert them to fractions you then simplify them by finding their highest common factor (HCF) and then divide both numerator and denominator by the HCF. When you cant simplify the fraction anymore, that is the fraction in its lowest terms.

Answer:

simplest form:

[tex]\frac{33 x}{35}[/tex]

Answer:46

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

4 times 10 = 40

6 times 1 = 6

40 plus 6 = 46

Answer:

$7.50 (paid per hour) times 70 hours (times 2 of 35 hours) = $525 gross pay

Step-by-step explanation:

525 is the gross pay.

Hello there! :D

We know that Caleb has two options:

Let's say that Option A is taking the new job, and Option B is solving for the new one. We know that Option A will leave him with $28,000. Let's do some math to see how much he would make with Option B.

We can do this by calculating how many ours he would work in one year and multiplying that by $11.15.

So, we have 44 hours a week. There are 52 weeks in a year.

52*44= 2288

Now, we can mutltiply that by his hourly wage.

2288*11.15=$25,511.2

Let's see how much time it would take to make the same amount of money since he is allowed to work overtime at half price:

Subtract the amount he makes in Option A by Option B:

28,000-25,511.2= 2488.8

Now we need to divide his hourly wage in half, because he gets paid half as much for overtime (I am assuming the wording is weird here).

11.15/2= 5.575

Now we can find out how many hours he needs to do per year to make the same amount.

2488.8/5.575=432.834 hours

Per week that is 8.3 extra hours! (Sounds like a lot of work)

If I was Caleb, I would take the new job offer, because it is unlikely that he will make much more in his current job.

I hope this helped you and that you have a wonderful day,

Kai xx

Answer:

18 yards

Step-by-step explanation:

Let's set up a proportion using the following setup.

inches / yards = inches / yards

We know the scale is 1 inch to 6 yards.

1 inch / 6 yards = inches / yards

We know the model plane is 3 inches tall, but we don't know how tall the real plane is. Therefore, we can it is 3 inches to x yards.

1 inch / 6 yards= 3 inches / x yards

1 /6= 3/x

Cross multiply. Multiply the numerator of the first fraction by the denominator of the second. Then, multiply the denominator of the first by the numerator of the second.

1*x= 6*3

1x= 6*3

x= 6*3

x=18

x= 18 yards

The real plane is 18 yards.

Answer:

=3²+2×8

=9+2×8

=9+16

=25

PROVED!!

Answer:

8-1-4=8-1-4=3

Step-by-step explanation:

Order of operations: solve inside the absolute value first. 21-13-9=8-9=-1. The absolute value of -1 is 1.

Answer:

Distributive property

Step-by-step explanation:

3*$0.40 + 5*$0.40 = (3+5)*$0.40

answer is distributive property

Step-by-step explanation:

hope this answer helps :)

Answer:

2 5/7

Step-by-step explanation:

Set up the division problem in long division format. Divide 19 by 7. Place this digit in the quotient on top of the division symbol. Multiply the newest quotient digit (2) by the divisor 7. Subtract 14 from 19. Then you have your answer of 2 5/7.

hope this helps :3

Answer: (36 - 1) ÷ (3 + 2) + 13 = 20

Step-by-step explanation:

PEMDAS rule calls for parenthesis to be solved first, then exponents, then multiplication or division then addition or subtraction depending on which comes first in the equation.

Using the PEMDAS rule the 20 can be gotten to if the equation is expressed as follows;

(36 - 1) ÷ (3 + 2) + 13 = 20

The parenthesis will be solved first;

35 ÷ 5 + 13 = 20

The division will be done first;

7 + 13 = 20

Then the addition;

7 + 13 = 20

Answer:

D) P = 80 feet, A = 360 square feet

Step-by-step explanation:

Perimeter=15+20+17+8+20=80 feet

Area=(15*20)+(1/2*8*15)=300+60=360 square feet

Answer:

-2p+1

Step-by-step explanation:

-4p+2p+(-2)+3

-2p+1

The equivalent expression of the expression {-4p+(-2)+2p+3}−4p+(−2)+2p+3 is -4p+2.

An expression is a combination of numbers, variables, function, indeterminants, symbols like addition, multiplication, subtraction and division. It is not usually present in equal to form.

We have been given one expression {-4p+(-2)+2p+3}−4p+(−2)+2p+3 and we have to find the equivalent expression by solving the expression.

First we need to put appropriate signs by solving brackets and the expression will look like after opening brackets and after opening of brackets the signs may change:

=-4p-2+2p+3-4p-2+2p+3

=-4p+2p-4p+2p-2+3-2+3

=-4p+2

Hence the equivalent expression of {-4p+(-2)+2p+3}−4p+(−2)+2p+3 is -4p+2.

Learn more about expressions at https://brainly.com/question/723406

#SPJ2

Answer:

0.388

Step-by-step explanation:

7/9 x 1/2 = 0.388

Answer:

Step-by-step explanation:

this problem is a unit conversion problem

In this problem, we are expected to convert from feet/min to miles per hour

given that the rate is 1760 feet per minute

from tables, we are given that

1 foot per minute is  0.011 miles per hour hence

1760 feet per minutes will give x miles per hour

cross multiplying we have

x= 1760*0.011

x= 19.36 miles per hours

Answer:

d = - 6

Step-by-step explanation:

56 = -8d +8

-8 .          -8

48 = -8d

__ .    __

-8       -8

-6  = d

Answer:

a

   POPULATION : The population is the surfers , swimmers, snorkelers and spear-fishermen in America

      SAMPLE  : The 1000 records of shark attacks selected

     VARIABLE FOR STUDY:  580 surfers

Step-by-step explanation:

Generally the population is the surfers , swimmers, snorkelers and spear-fishermen in America

  This is because it is the entire pool from which a statistical sample is drawn

 Generally the sample  is  the 1000 records of shark attacks selected

This is because this the number drawn from the population for statistical testing also this  contain the characteristics of the population

  Generally the variable  for study is 58%  of  1000 =  580 surfers

This is  because the this  580 surfer is the major focus of the Researchers study