Can somebody help me? Plsss

Answer:

[tex]b=11, b=17[/tex]

Step-by-step explanation:

To get rid of the parenthesis, distribute:

[tex]b(28-b)=187,\\28b-b^2=187[/tex]

Move all terms to one side and factor:

[tex]b^2-28b+187=0,\\(b-11)(b-17)=0,\\\begin{cases}b-11=0,b=\boxed{11}\\b-17=0,b=\boxed{17}\end{cases}[/tex]

Answer:

b = 11, 17

Step-by-step explanation:

=> (28 - b) × b = 187

=> 28b - b² = 187

=> 28b - b² - 187 = 0

=> b² - 28b + 187 = 0

=> b² - 11b- 17b + 187 = 0

{as (-11b)×(-17b) = 187b² and (-11b)+ (-17b) = -28b }

=> b (b - 11) - 17(b - 11) = 0

=> (b- 11)(b - 17) = 0

(b - 11) = 0

=> b = 11

(b - 17) = 0

=> b = 17

therfore,

Answer:

0.8 cm = 8km

0.5cm = 5km

hope this helps

Step-by-step explanation:

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=2x f - 1 ( x ) = 2 x is the inverse of f(x)=12x f ( x ) = 1 2 x .

Replace f(x)f(x) with yy.

y=12xy=12x

Interchange the variables.

x=12yx=12y

Solve for yy.

Rewrite the equation as 12y=x12y=x.

12y=x12y=x

Multiply both sides of the equation by 22.

2⋅12⋅y=2⋅x2⋅12⋅y=2⋅x

Simplify 2⋅12⋅y2⋅12⋅y.

Cancel the common factor of 22.

Cancel the common factor.

2⋅12⋅y=2⋅x2⋅12⋅y=2⋅x

Rewrite the expression.

1⋅y=2⋅x1⋅y=2⋅x

Multiply yy by 11.

y=2⋅xy=2⋅x

Solve for yy and replace with f−1(x)f-1(x).

Replace the yy with f−1(x)f-1(x) to show the final answer.

f−1(x)=2xf-1(x)=2x

Set up the composite result function.

g(f(x))

Explanation:

Recall that tangent = opposite/adjacent.

For reference angle M, the side ON = 5 is the opposite side and MN = 12 is the adjacent side. We don't need the hypotenuse.

Answer:

C or 5/12

Step-by-step explanation:

===============================================

Work Shown:

k = scale factor

k = (OF ')/(OF)

k = (OF ')/(OF ' + F ' F)

k = (3)/(3 + 10)

k = 3/13

The scale factor of the dilation of triangle DEF is 3/10.

The technique of dilation is used to enlarge or reduce the size of the things. This transformation produces an image that resembles the original shape and is identical to the image.

We have a triangle DEF is dilated to smaller triangle D'E'F' .

As, the length of OF' =  3 and F'F = 7.

So, the scale factor of dilation is

OF' / OF = 3 / 10.

Thus, the scale factor is 3/10.

Learn more about Dilation here:

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Answer:

200

Step-by-step explanation:

Good luck <3

Answer:

200

Step-by-step explanation:

hope it helps

Answer:

Given- O is the centre of a circle in which an equilateral ΔPQR has been inscribed.

To find out- ∠QOR=?

Solution- The points P, Q & R are on the circumference of the circle since ΔPQR has been inscribed in the circle. Now the chord QR subtends ∠QOR to the centre O and ∠QPR to the circumference at P.

∴ By rule, ∠QOR=2∠QPR.........(i).

Now PQR is an equilateral Δ. Each of its angle is 60

o

. i.e ∠QPR=60

o

.

So, from (i), ∠QOR=2∠QPR=2×60

o

=120

o

.

Ans- Option B.

solution

Answer:

id say a

Step-by-step explanation:

The amount of interest his account should earn after 15 years is:

$7, 915.64.

Here, we have,

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

Formula:

A = P(1 + {r}/{n})^{n.t}

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Here, given that, P =$4,500 , r= 7%, t=15yr , n=365days

Let, A= x

Now, x =$4,500(1+7/100×365)^(365×15)

     x=$12415.64

i.e.  final amount = $12415.64

so,  the amount of interest his account should earn after 15 years is:

$12415.64 - 4500 = $7, 915.64

Hence, the amount of interest his account should earn after 15 years is: $7, 915.64

To learn more on Compound interest click:

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Answer:

s + 178 = Abha's Can's

Step-by-step explanation:

Well since Abha collected 178 more cans than Shane, it would be Shane's amount of cans they collected AND 178 cans on top of that.

(i didnt know if you wanted the solution of s or just the equation on how to find s)

Answer:

1.5 square miles

Step-by-step explanation:

First divide 1 by 0.5 which is 2. that means you also divide 3 by 2 which is 1.5.

Answer:

1/3

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

Experimental probability is based on the result of an experiment that has been carried out multiples times

probability of landing on the orange section = proportion of the orange section / total proportions of all the colours

= 1/3

Answer:

The margin of error of his experiment is of 0.1074.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

30 M & M's from a bag, and 3 of them are green.

This means that [tex]n = 30, \pi = \frac{3}{30} = 0.1[/tex]

Standard 95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

Margin of error:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 1.96\sqrt{\frac{0.1*0.9}{30}}[/tex]

[tex]M = 0.1074[/tex]

The margin of error of his experiment is of 0.1074.

Answer:

5 feet

Step-by-step explanation:

Step-by-step explanation:

x^2-6x-6x+36=0

x(x-6)-6(x-6)=0

(x-6)(x-6)=0

x=6

Answer:

a) 0.4215 = 42.15% probability that all are repaired in less than 6 hours.

b) 0.15 = 15% probability that exactly 3 of them repaired in a time below 6 hours

Step-by-step explanation:

To solve this question, we need to understand the normal and the binomial probability distributions.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Proportion repaired below 6 hours:

Mean 5 hours and standard deviation 1 hour, which means that [tex]\mu = 5, \sigma = 1[/tex]

This proportion is the p-value of Z when X = 6. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{6 - 5}{1}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a p-value of 0.8413.

0.8413 repaired below 6 hours.

For the binomial distribution, this means that [tex]p = 0.8413[/tex]

5 are chosen:

This means that [tex]n = 5[/tex]

a) Probability that all are repaired in less than 6 hours

This is P(X = 5). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{5,5}.(0.8413)^{5}.(0.1587)^{0} = 0.4215[/tex]

0.4215 = 42.15% probability that all are repaired in less than 6 hours.

b) Probability that exactly 3 of them repaired below 6 hours

This is P(X = 3). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{5,3}.(0.8413)^{3}.(0.1587)^{2} = 0.15[/tex]

0.15 = 15% probability that exactly 3 of them repaired in a time below 6 hours

C, 3 units translated to the left due to the +3 inside the bracket, vertically reflected on the x-axis as it is negative outside the bracket and translation 1 unit up because of the +1 outside the brackets.

Step-by-step explanation:

hello it's B)

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.

.

.

.

.v:

Answer: a. 13120

b. 4100

c. 1025

d. 3280

Step-by-step explanation:

(a) find the costs price of the fridge

Since the cash price is 20% less the hire purchase price, then the cost of the fridge will be:

= (100% - 20%) × 16400

= 80% × 16400

= 0.8 × 16400

= 13120

(b) calculate the deposit

Since 25% is paid as deposit, the deposit will be:

= 25% × 16400

= 0.25 × 16400

= 4100

(c) what is the monthly installments

Monthly installments will be:

= (16400 - 4100)/12

= 12300/12

= 1025

(d) what is the differences between the cash price and the hire purchase price.

This will be:

Hire purchase price = 16400

Cash price = 13120

= 16400 - 13120

= 3280

Answer:

72 m^3

Step-by-step explanation:

volume of the kiosk = volume of cylinder + volume of cone

volume of a cylinder = nr^2h

n = 3.14

r = radius = 5/2 = 2.5

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

3.14 x (2.5^2) x 3 = 58.88  

Volume of a cone = 1/3(nr^2h)

3.14 x 1/3 x (2.5^2) x 2 = 13.08

13.08 + 58.88 = 71.96

To round off to the nearest cubic meter, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.

= 72 m^3

Answer

X=25

Step-by-step explanation:

need help?

Step-by-step explanation:

just try plotting on a number line

Answer:

[tex]Amount = 49 + 14.99k[/tex]

Step-by-step explanation:

Given

[tex]Books = 24[/tex]

[tex]Another\ Store = 25[/tex]

[tex]Model = k[/tex]

Cost of [tex]Model = 14.99[/tex] --- Missing from the question

Required

Represent the amount spent

The amount is calculated as:

[tex]Amount = Books + Another\ Store + Model * Cost[/tex]

[tex]Amount = 25 + 24 + k * 14.99[/tex]

[tex]Amount = 49 + 14.99k[/tex]

Answer:

0

Step-by-step explanation:

this is just to confuse us.

"t" is used instead of "x" (probably because the formula has something to do with "time"). but it does not matter.

and 3 different functional definitions have been given based on the value of the argument "t".

we need the functional value for t=2.

is 2 = 8 ? no. therefore the first definition does not apply.

is 2 = 10 ? no. therefore the second definition does not apply either.

is 2 unequal to 8 or 10 ? yes, 2 is 2 and not 8 and not 10.

so, the third definition applies :

f(2) = 2² - 3×2 + 2 = 4 - 6 + 2 = 0

Answer:

Arranging : 9.2020 < 9.2200 < 9.2211 < 9.8000

Step-by-step explanation:

9.22   = 9.2200

9.202 = 9.2020

9.8      = 9.8000

9.2211  = 9.2211

Now compare the numbers in the tenths : except 3rd option ( 8 in the tenth place) everything has 2 in the tenths place.

Arranging : 9.2200, 9.2020, 9.2211, 9.800

So we take the next place, hundredths : Compare the number in hundredth place and tenth place and arrange. [ 22, 20, 80 , 22]

Arranging : 9.2020 , 9.2200, 9.2211, 9.8000

Now compare  the numbers in tenths , hundredths and thousandth place :

[220, 202, 800, 221 ]

Arranging : 9.202, 9.220, 9.221, 9.800

Now compare all the four numbers and arrange :

[ 2200, 2020 , 8000, 2211 ]

Arranging : 9.2020 , 9.2200 , 9.2211 , 9.8000

Answer: $17.85

Step-by-step explanation:

The tax on the T-shirt is 5% and the price is $17.

To find the after-tax cost, first find the tax amount:

= 5% * 17

= $0.85

Then add this tax amount to the price to find the after-tax amount:

= 17 + 0.85

= $17.85