Which is a better a polar bear or an LED light bulb

Using the binomial distribution, it is found that about 75 batteries each day are defective.

For each battery, there are only two possible outcomes, either it is defective, or it is not. The probability of a battery being defective is independent of any other battery, hence the binomial distribution is used to solve this question.

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

In this problem:

Then, the expected number of defective batteries in a day is given by:

E(X) = np = 500(0.15) = 75.

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Ⲁⲛ⳽ⲱⲉⲅ :

We are given that:

Some assumptions:

Using Formula:

➙ V = l × b × h

➙ V = x × 3x × h

➙ 240 = 3x² × h ‎ㅤ‎ㅤ⸻ ( 1 )

Now, the cost of plastering it's 4 walls is Rs 8000 at the rate of 50 /m². So, we can find the area of the walls of the room by dividing 8000 by 50 i.e:

➙ A = Total cost / cost per m²

➙ 8000 / 50

➙ 800 / 5

➙ 160m²

In a cuboid , there are a pair of two opposite and equal rectangular sides, and area of rectangle is given by :

So, area of 2 walls along length :

➙ 2 × length × height

➙ 2 × 3x × h

➙ 6xh

Area of 2 walls along breadth:

➙ 2 × breadth × height

➙ 2 × x × h

➙ 2xh

Sum of areas of these four walls will be equal to the area of the walls, that we have find earlier;

➙ ( 6xh ) + ( 2xh ) = 160

➙ 8xh = 160

➙ xh = 160 / 8

➙ xh = 20 ‎ㅤ‎ㅤ‎ㅤ⸻ ( 2 )

➙ 240 = 3x²h

➙ x²h = 240 / 3

➙ x × xh = 80

➙ x × 20 = 80 ‎ㅤ‎[ from equation ( 2 ) ]

➙ x = 80 / 20

➙ x = 4

➙ xh = 20

➙ 4 × h = 20

➙ h = 20 / 4

➙ h = 5

‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ~Hence, the height of the room is 5m.

Answer:

q = 7p

Step-by-step explanation:

given q is directly proportional to p then the equation relating them is

q = kp ← k is the constant of proportion

To find k use the condition q = 28 when p = 4 , then

28 = 4k ( divide both sides by 4 )

7 = k

q = 7p ← equation of proportion

Answer:

Option B: √117

Step-by-step explanation:

The hypotenuse of a right triangle is the longest side. In this case, since the longest side is √117 cm, then c=√117.

Answer: B) √117

The correct answer is B) √117

Step-by-step explanation:

As seen, the figure is a right triangle. The hypotenuse is the longest side of the triangle, so the correct option is B) √117. Since the longest side is √117cm, the this means that c = √117cm

Hope this helps =)

The statement true about the function is the vertex is a maximum.

A quadratic function has the formula [tex]\rm f(x) = ax^2 + bx+ c[/tex], where a, b, and c are integers with an a that is not equal to zero.

Given

The value of a function in the form [tex]\rm f(x) = ax^2 + bx+ c[/tex] is negative.

As the function is negative then the following is true:

[tex]\rm a < 1[/tex]

When the leading coefficient is less than one then:

Hence, the statement true about the function is the vertex is a maximum.

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Answer:

3. burning of wood and coal

Answer:

c burning of wood and coal

Step-by-step explanation:

Answer:

need full picture

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

It's true becuase you need to make each side of the equation equalivant.

Answer:

False

Step-by-step explanation:

Have a wonderful day !!!

Answer:

yes

Step-by-step explanation:

it is correct because Gail's digit 9 is .9 and Lucas's is 10 times greater and .9 × 10 = 9 which is Lucas's digit 9 value

Answer:

1. 7

2. 5

3. 3

4. 1

Step-by-step explanation:

(-7)^2+6×(-7)

same as above.

Answer:

Park

Step-by-step explanation:

Answer:

x-intercept= 0.5 y-intercept=1

Step-by-step explanation:

The line intercepts (0.5,0) and (0,1) which are the x and y-intercepts.

Answer:

Y intercept: 1

X intercept: 0.5

Step-by-step explanation:

Y intercept: 1

X intercept: 0.5

Look at graph and you can solve it!!

I belive in you!!

Have an amazing day!

PLEASE RATE AND MARK BRAINLIEST!

The approximate value of log b to the nearest hundredth using the logarithm property is 1.23. The correct option is B.

Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.

The two expressions below have the same value when rounded to the nearest hundredth.

[tex]\rm Log_ 5 b \ \ and \ \ Log _ 9 48[/tex]

We know that the formula

[tex]\rm log_ab = \dfrac{log\ b}{log\ a}[/tex]

Then we have

[tex]\rm log_ 5\ b = log _ 9 48\\\\\\ \dfrac{log \ b}{log\ 5} = \dfrac{log\ 48}{log \ 9}\\\\\\log \ b = log \ 5 * \dfrac{log\ 48}{log \ 9}\\\\\\log \ b = 1.2315[/tex]

Thus, the value of log b is 1.23.

More about the logarithm link is given below.

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24*3=72

72*3=216

3*2=6

216+6=222

the answer is 222

Answer:

[tex]m=8[/tex]

Step-by-step explanation:

Given the following question:

[tex]10=\frac{5m}{4}[/tex]

In order to find the answer, we have to remember when we have a two-step equation like this to multiply on both sides, and then divide both sides to isolate the variable.

[tex]10=\frac{5m}{4}[/tex]
[tex]4\times10=40[/tex]
[tex]40=5m[/tex]
[tex]5m=40[/tex]
[tex]5m\div5=m[/tex]
[tex]40\div5=8[/tex]
[tex]m=8[/tex]

Hope this helps.

Ok so I don't know if it is (5m)/4 or 5(m/4) so I'll solve both

If it's (5m)/4 :

(5m)/4 = 10
5m = 10 x 4 = 40
m = 40/5 = 8

If it's 5(m/4)

5(m/4) = 10
m/4 = 10/5 = 2

m = 2 x 4 = 8

(same answers but different solutions so might as well)

Answer:

Step-by-step explanation:

Simplify 1/3(9y-3) - 2y as : 3y - 1 - 2y = y - 1

Expression 1 : 3y - 1 - 2y, can be simplified as y-1 => Equivalent
Expression 2 : 3y + 3 - 2y = y + 3 => Not equivalent
Expression 3 : y - 1 => Equivalent
Expression 4 : 1/3(9y) + 1/3(-3) - 2y = 3y - 1 - 2y = y-1 => Equivalent

So, the answer is the second expression.

Answer:

159

Step-by-step explanation:

5×7×3+ 9×6÷2×2

=105+54

=159 cm²

We are given with a equation of Circle and we need to find it's radius and it's equation in standard form . But , let's recall , the standard equation of a circle is [tex]{\bf (x-h)^{2}+(y-k)^{2}=r^{2}}[/tex] where (h,k) is the centre of the circle and radius is r . Proceeding further ;

[tex]{:\implies \quad \sf x^{2}+12y+22x+y^{2}-167=0}[/tex]

Collecting x terms , y terms and transposing the constant to RHS ;

[tex]{:\implies \quad \sf (x^{2}+22x)+(y^{2}+12y)=167}[/tex]

Now , as in standard equation their is a whole square , so we need to develop a whole square in LHS , for which we will use completing the square method , as coefficient of x² and y² is 1 , so adding 121 and 36 to LHS and RHS .

[tex]{:\implies \quad \sf (x^{2}+22x+121)+(y^{2}+12y+36)=167+121+36}[/tex]

[tex]{:\implies \quad \sf (x+11)^{2}+(y+6)^{2}=324\quad \qquad \{\because a^{2}+2ab+b^{2}=(a+b)^{2}\}}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{\{x-(-11)\}^{2}+\{y-(-6)\}^{2}=(18)^{2}}}}[/tex]

On comparing this with the standard equation , we got our centre at (-11,-6) and radius is 18 units

Answer:2/2/5

Step-by-step explanation:
If 3/4 = 9/5
what about 4/4
You get the answer as 12/5 which is 2/2/5

Hope this helped


a whole is always fraction wise "1", whether is 5/5 or 4/4 or 1,000,000/1,000,000 it'd round up to "1", just 1 whole.

we know how much 3/4 of his land is, so the "whole land" will be in quarters, 4/4 or namely "1".

let's firstly convert the mixed fraction to improper fraction and then proceed.

[tex]\stackrel{mixed}{1\frac{4}{5}}\implies \cfrac{1\cdot 5+4}{5}\implies \stackrel{improper}{\cfrac{9}{5}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{ccll} acres&whole\\ \cline{1-2} \frac{9}{5}&\frac{3}{4}\\[1em] x&\frac{4}{4} \end{array}\implies \cfrac{~~\frac{9}{5} ~~}{x}=\cfrac{~~ \frac{3}{4}~~}{\frac{4}{4}}\implies \cfrac{~~\frac{9}{5} ~~}{\frac{x}{1}}=\cfrac{~~ \frac{3}{4}~~}{1}\implies \cfrac{9}{5}\cdot \cfrac{1}{x}=\cfrac{3}{4}[/tex]

[tex]\cfrac{9}{5x}=\cfrac{3}{4}\implies 36=15x\implies \cfrac{36}{15}=x\implies \cfrac{12}{5}=x\implies 2\frac{2}{5}=x[/tex]

Emma gains profit of $600 on the sale of 300 shares of stock.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Number of shares of stock purchased by Emma = 300,

And cost price of one share = $4.

Total cost price of 300 shares at $4 per share = 300 x 4 = $1200.

Also given that,

Selling price of one share = $6

Total selling price of 300 shares at $6 per share = 300 x 6 = $1800.

The profit = selling price - cost price

                 = 1800 - 1200

                 = 600

The profit on the sale of the stock is $600.

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Answer:

A. 500 years

Step-by-step explanation:

Try to use a ruler to mesure the scale on the timeline

The highest blank is (D)

The second highest blank is (E)

The third highest blank is (A)

The fourth highest blank is (C)

The extraneous solution of the logarithmic problem [tex]\rm log_3(18x^3)-log_3(2x) = log_3 144[/tex] is -4.

A log function is a way to find how much a number must be raised in order to get the desired number.

[tex]a^c =b[/tex]

can be written as

[tex]\rm{log_ab=c[/tex]

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

Solving the function using the basic logarithmic value, we get,

[tex]\rm log_3(18x^3)-log_3(2x) = log_3 144\\\\ log_3\dfrac{(18x^3)}{(2x)} = log_3 144\\\\ log_3(9x^2)= log_3 144\\\\\text{Taking antilog}\\9x^2 = 144\\x = \sqrt{\dfrac{144}{9}}[/tex]

If we solve further we will get that the value of x can be either -4 or 4, if take the value of x as -4, in the beginning then you will get log₃(18(-4)³) as the log of negative value which is impossible.

Hence, x=-4 is an extraneous solution.

Learn more about Logarithms:

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Answer:

x = negative 4

Step-by-step explanation:

The comment and answer above is correct.

Answer:

yes

Step-by-step explanation:

The numerator of the improper fraction 2 + 17/20 (which is the decimal 2.85 written as an improper fraction) is 57.

Here, we have to convert the decimal number 2.85 to an improper fraction.

2.85 has a whole number part of 2.

The decimal part 0.85 can be written as 85/100.

85/100 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 5:

85 ÷ 5 = 17

100 ÷ 5 = 20

So, 85/100 simplifies to 17/20.

The whole number part is 2, and the fraction is 17/20.

So, the improper fraction is:

2 + 17/20.

To find the numerator, multiply the whole number part (2) by the denominator of the fraction (20), and then add the numerator of the fraction (17):

Numerator = (Whole number part × Denominator) + Numerator of the fraction

Numerator = (2 × 20) + 17

Numerator = 40 + 17

Numerator = 57.

So, the numerator of the improper fraction 2 + 17/20 (which is the decimal 2.85 written as an improper fraction) is 57.

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