Between his 9th and 10th birthdays jimmy read one book each week there are 52 weeks in a year if each book at about 95 pages about how many pages did he read during the year?

Step-by-step explanation:

4a)

that means all 4 events happen in combination as one event.

so, we have to multiply the probabilities of all 4 events.

that means

0.63⁴ = 0.15752961... ≈ 0.16

so, there is a 16% chance that all 4 children get sick.

in other words, the probabilty for that is about 0.16.

b)

the probabilty of at least 1 kids getting sick is the opposite of the probability of no kids is getting sick.

the probability of getting sick is 0.63, so the probability of not getting sick is 1 - 0.63 = 0.37.

the probability of no kids getting sick is similar to a)

0.37⁴ = 0.01874161 ≈ 0.02

the probabilty of at least one kid getting sick is the opposite of that :

1 - 0.01874161... = 0.98125839 ≈ 0.98

5)

A u B is the sample space. so, any possible event is either part of A or B or both.

that means

P(A') = 0.35 = 1 - P(A)

P(A) = 1 - 0.35 = 0.65

P(A and B') = P(of every A that is not B) = 0.25.

because P(A) = 0.65

that means that

P(A and B) = P(every A that is also B) =

= 0.65 - 0.25 = 0.4

P(B) = P(A') + P(A and B) = 0.35 + 0.4 = 0.75

FYI

we could have gotten this directly from

P(A and B') = P(of every A that is not B = everything that is only A) = 0.25.

because

P(A and B')' = P(of everything that is not "only A" = everything that is B) = P(B) = 1 - 0.25 = 0.75

Option D is the right choice.

It is discovered through the use of conditional probability that there is a 0.4 = 40% chance that it will stop working in less than 2 years.

Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.

Conditional Probability:
P (B / A) = P (A∩B) / P (A)

Here:

P(B / A) is the likelihood that event B will occur in the absence of event A.

P (A∩B) is the likelihood that both A and B will occur.

P(A) denotes the likelihood that A will occur.

As per the question:

Event A: Delivery was harmed.

Event B: Fails to function after less than two years.

P (A) = 0.1 due to the probability of being damaged during delivery being 0.1.

P (A∩B) = 0.04 because there is a 0.04 likelihood that it will be damaged during the delivery and stop working.

The likelihood under the condition is:

P (B / A) = P (A∩B) / P (A) = 0.04 / 0.1 = 0.4

0.4 = 40% chance that it will stop working in under two years.

Therefore, option D is correct.

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27 containers are needed to hold all the fuel from 12 tanks.

We are given that each tank holds 22.5 cubic yard of fuel, the weight of 1 yd³ (cubic yard) of fuel is equal to .74 tons, and each container holds 7.4 tons of fuel. Solving this problem would involve converting units.

In order to find out how many containers of the size are needed to hold all the fuel from 12 tanks, first we need to find how much fuel is delivered by 12 tanks. Since 12 x 22.5 = 270, 12 tanks are used to deliver 270 yd³ of fuel.

Next we convert it to tons. Recall that 1 yd³ of fuel is equal to .74 tons. Therefore, 270 yd³ = 270 x  .74 = 199.8 tons.

A container holds 7.4 tons of fuel. 199.8 ÷ 7.4 = 27, hence 27 containers are needed to hold all the fuel.

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From the logistic population differential equation for approximate the growth of the world population , which is given here as [tex]P = L/1+ e^{-k(x-x_{0} )[/tex]

The general form of the logistic population equation is given as [tex]dP/dt = kP(1- P/L)[/tex]. While k is the relative growth rate, L is the carrying capacity.An ordinary differential equation with a logistic function as the solution is known as a logistic differential equation. Standard exponential functions do not account for the limitations that prevent infinite growth, but logistic functions correct this oversight. This is how bounded growth is represented by logistic functions. These contexts include machine learning, chess ratings, medical therapy (e.g., modelling tumour growth), economics, and even language adoption research.

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The simplified expression of the radical expression given as 5√7/√35 is 7

From the question, we have the following expression that can be used in our computation:

5√7/√35

The above expression is a fraction and at the same time it is a radical expression

The denominator of the fraction is √35

So, we start by rationalizing the expression by the fraction

This is represented as

5√7/√35 = 5√7/√35 * √35/√35

Evaluate the products of the numerator

So, we have the following representation

5√7/√35 = 5√245/√35 * 1/√35

Evaluate the products of the denominator

So, we have the following representation

5√7/√35 = 5√245/35

Simplify the fraction

This gives

5√7/√35 = √245/7

Simplify the fraction

5√7/√35 = 7√5/7

So, we have

5√7/√35 = 7

Hence, the simplified expression is 7

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[tex]{ \bold{ \sqrt[3]{V}}} [/tex]

Step-by-step explanation:

[tex]{ \green{ \sf{V = s³}}}[/tex]

Cube on both sides, then

[tex]{ \green{ \sf{s = \sqrt[3]{V}}}} [/tex]

The cost per dog treat is 0.55 dollars

How to determine this,

The cost of 8 dog treats is 4.40 dollars

And the number of 1 dog treat is x dollar

x dollar=4.40 dollars×1 dog treat/8 dog treats

x=0.55 dollar per one dog treat

To complete the table,

For 18 dog treats

when 1 dog treat is 0.55 dollar

18 dog treats is x dollar

x=18 dog treats×0.55 dollar/1 dog treat

x=9.9dollars

For 25 dog treats,

when 1 dog treat is 0.55 dollar

for 25 dog treats is x dollar

x=25 dog treats×0.55 dollar/1 dog treat

x=13.75 dollars

For 6.05 dollars,

when 1 dog treat is 0.55 dollar

x dog treat is 6.05 dollars

x=6.05 dollars×1 dog treat/0.55 dollar

x=11 dog treat

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Answer:

Step-by-step explanation: 0.55

Answer:

Step-by-step explanation:

3.4.m+2.4.m.m

4m(3+2m)

Answer:

1.5

Step-by-step explanation:

3÷2=1.5

Answer:

The angle-angle-side postulate. A.A.S

Step-by-step explanation:

The enclosure can be as large as 606 m2 in total.

Given that,

Let x be length of y be width of enclosure

fencing material cost $ 30 / m

Partition material cost $25/m

Total cost = (x+x+y+y)x 30+(y + y) x 25

c= 60(x+y) + 50y = 60 x + 110 y

4000 = 60 x + 110y

y = ( 400 - 6x / 11)

Now,Area of enclosure = x*y

A = x*(400 - 6x / 11)

A'(x)= 400-12x/11

for maximum area A'(x) = 0

400 - 12x/11 = 0,12x = 400,x = 100/3

A " ( x) = - 12/11 < 0  i.e., maximum

y = 400 - 6( 400/12 ) = 200/11 m

Maximum area = xy = 100/3 * 200/11 = 20000/33

                                                            =606.0606

A max = 606m²

Hence, the maximum area you can achieve for the enclosure is 606m²

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Answer:

negative, as the points are slowly making their way "down" the graph :)

The proportional of price of the drink to the number of ounces is 0.2.

In the given question we have to find the proportional of price of the drink  to the number of ounces.

As given from the table that;

Drink Size (oz)     12                16                20

Price (dollars)       2.40            3.20            4.00

If we find the proportional of price of the drink to the number of ounces. Then;

Price of the drink/Number of drink = 2.40/12 = 3.20/16 = 4.00/20

Price of the drink/Number of drink =  0.2       = 0.2        = 0.2

So we can see that the proportional of price of the drink to the number of ounces is 0.2.

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Answer:

Yes it is proportional.

Answer:

-2

Step-by-step explanation:

Answer:

x=-2

Step-by-step explanation:

distribute

-7x-14-x=2

-8x-14=2

    +14. +14

-8x=16

/-8. /-8

x=-2

Hopes this helps please mark brainliest

Answer:

x = 4, 2

Step-by-step explanation:

The probability that a computer will not crash in a period of 4 months is 0.632.There is a 75% chance that the computer will not crash in a period of 4 months.

To solve this problem stepwise, first calculate the probability that the computer will crash in a given month. This can be done by using the Poisson distribution. The probability that the computer will crash in a given month is 0.0333.

Next, calculate the probability that the computer will not crash in a given month. This is simply 1 - 0.0333, or 0.9667.

Now, to calculate the probability that the computer will not crash in a period of 4 months, simply take the probability of not crashing in a given month and raise it to the 4th power. This gives us a probability of 0.632.

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Answer:

h = 289 feet

Step-by-step explanation:

Comment

You need two givens to use in the formula to solve for the third.

Formula

v = sqrt(2*g*h)

Givens

V = 136 ft/s

g = 32 ft/s^2

h = ?

Solution

v = sqrt(2*g*h)                  Put the givens into the formula.

136 = sqrt(2* 32 * h)         Square both sides

136^2 = sqrt(2*32*h)^2   Expand

18496 = 64* h                  Divide by 64

18496/64 = 64*h/64  

289 feet = h

So the object must fall 289 feet before it reaches 136 m/s

Ramundo will get a better deal at Roller worlds.

This is a question of percentages.

Given that:-

Regular price of rollerblades at roller world = $ 94

Discount at rollerworld = 15 %

Price of rollerblades at Outdoor adventures = $ 81.50

Sales tax = 6 %

Price of rollerblades at roller world after discount = 94 - (15/100)*94 = 94 - 14.1 = $79.9

Price of rollerblades at roller world after sales tax = 79.9 + (6/100)*79.9 = 79.9 + 4.794 = $ 84.694

Price of rollerblades at outdoor adventures = $81.50

Price of rollerblades at roller world after sales tax = 81.50 + (6/100)*81.50 = 81.50 + 4.89 = $ 87.39

As,

$ 84.694 <  $ 87.39

Ramundo will get a better deal at Roller worlds.

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Using the exterior angles theorem, the measures of the named angles are:

m∠PQR = 51°

m∠PRQ = 96°

Based on the exterior angles theorem, the measure of the exterior angle of a triangle has an angle degree that is equal to sum of the interior angles of the triangle.

Therefore, the following equation would be set to find the value of x:

33 + 10x + 1 = 17x - 1

34 + 10x = 17x - 1

Combine like terms

34 + 1 = 17x - 10x

35 = 7x

35/7 = 7x/7

5 = x

x = 5

m∠PQR = 10x + 1 = 10(5) + 1 = 51°

m∠PRQ = 180 - (17x - 1) = 180 - (17(5) - 1) = 96°

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Answer:

provide context

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. The vertex is where the parabola is changing from increasing to decreasing

2. From the picture, we can see that the vertex is at (1,2)

3. The formula for vertex form is f(x)=a(x-h)^2+k

4. Vertex is (1,2) or (h,k)

5. You can see that the parabola opens upside down like a "n" so it has been reflected in the x axis

6. So, your equaltion is f(x)=-(x-1)^2+2

7. In this cause you can see that a=-1, but if not given you would choose a random point on the parabola and plug it in :). Example:(0,1): 1 = a(0-1)^2+2

a=-1.

8. Your answer: f(x)=-(x-1)^2+2

Answer:

I think that the answer is going to be 34-21+6=19

Answer: The answer would be 4 biking outfits o=4

Step-by-step explanation:

First add all the money he spent excluding the outfits. The answer would be 315.72. Then subtract 600 and 315.72 = 284.28. Last multiply 71.07 by 4 which gets you 284.28. The EXACT amount he has left. Answer is he can be 4 new biking outfits within his budget. Hope I could help!

The time that It would take  for the value of the account to reach $2,860 is; 21.6 years

We are told that a person invested $440 in an account growing at a rate allowing the money to double every 8 years. Thus, the account balance can be modeled by the equation;

A = 440(2)^(t/8)

where;

A is final amount

t is in years

We want to find t when A = 2860. Thus;

2860 = 440(2^(t/8))

divide both sides by 440 to get;

6.5 = 2^(t/8)

log(6.5) = (t/8)log(2)

t = 8 * log(6.5)/log(2)

t ≈ 21.604

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Answer:

Step-by-step explanation:

here the alternally exterior angle sum property:

48°+(2x+2)°=180°

⇒2x+2°=180°-48°

⇒2x+2°=132°

⇒2x=130°

⇒x=65°

The cost of 190 bon-bons is $154.8

According to the question ,

The shape of chocolate bon-bons is Sphere

Radius of sphere = 1.7cm

Density = 1.32g/cm³

[tex]Volume \ of\ sphere = \frac{4}{3}\pi r^{3}\\[/tex]

[tex]Volume of chocolate bon-bons = \frac{4}{3}\pi (1.7)^{3}[/tex]

[tex]= \frac{4}{3}\pi (4.913)\\= 20.5795cm^{3}[/tex]

Weight of bon-bons = volume × density

weight = 20.5795 × 1.32

= 27.1649g

Given , the cost of chocolate = $0.03

then cost of bon-bons = 0.03 × 27.1649

= $0.81494

We have to find cost of 190 bon-bons.

Cost of 190 bon-bons = 190 × 0.81494

= $ 154.8

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Answer:

Step-by-step explanation:

Expand: 36e^2+12e-48=e

Subtract e from both sides 36e^2+11e-48=0

Using the quadratic formula, e=(-11+-sqrt7033)/72