The list below shows all of the possible outcomes for flipping four coins. HHHH HHHT HHTH HHTT HTHH HTHT HTTH HTTT THHH THHT THTH THTT TTHH TTHT TTTH TTTT What is the probability of at least two coins landing on heads? StartFraction 5 over 16 EndFraction StartFraction 3 over 8 EndFraction One-half StartFraction 11 over 16 EndFraction

Answer:

D.

Step-by-step explanation:

When you exponent a exponent, you multiply the 2 exponents together.

Answer:

The Answer is D

Step-by-step explanation:

When there is a fraction with exponents in parentheses that has an exponent, you multiply the outer exponent to the inner ones

Following are the calculation to fill in the blank:

For Part a)

Each home in this town consumed

[tex]\to 40 \times \frac{19000000}{115000000}\\\\\to 40 \times \frac{19}{115}\\\\\to 40 \times 0.165\\\\\to 6.6 \ \text{gallons of oil per day}[/tex]

For Part b)

Without completing the sentence,

[tex]\text{Total consumption = 19200000 barrels}\\\\\text{Total number of households = 118000000}[/tex]

As a result, each household consumed.

[tex]\to \frac{19200000}{118000000} \\\\\to \frac{192}{1180} \ (barrels)\\\\[/tex]

In the given scenario, each barrel includes 42 gallons of oil. Therefore, every household consumed [tex]42 \times \frac{192}{1180} = 6.83 \ gallons[/tex] oil each day.

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Hence, each household will consume 6.60 gallons per day.

Total Households of that country =115000000 (approx.)

Total barrels used per day =19000000 (approx.)

Given 1 barrel = 40 gallons (approx.)

So total gallons used per day = 19000000 x 40 =760000000

So each household will consume gallons per day = total gallons used per day / Total household of that country

=[tex]=\frac{760000000}{ 11500000}[/tex]

=6.60 gallons/household/day

So each household will consume 6.60 gallons per day.

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Answer:

Option B ,$133.92  is correct

Step-by-step explanation:

By consolidating both balances in Card B,APR of 12% would apply to funds in card A as well

Let us approach the question by solving for monthly payment of  Card A using   12% APR as follows while making use of excel pmt formula:

=pmt(rate,nper,-pv,fv)

rate is the monthly rate on the card which is 12%/12=1%

nper is the number of months of payment which is 12 months * 4 years=48

pv is the current balance in the card which is $1,389.47

fv is the total amount of monthly repayment which is taken as zero

=pmt(1%,48,-1389.47,0)=$ 36.59  

Using 16% monthly payment is $39.38  which is given already

Total monthly payments for 16%=$39.38*48=$1890.24

Total monthly payments for 12% APR=$36.59*48=$1756.32

savings in total repayments=savings in interest=$1890.24 -$1756.32 =$133.92

Answer:

B. $133.92

Step-by-step explanation:

Just took the test and got it right

Answer: a) 97

b) 38.9

Step-by-step explanation:

a) add all of the numbers from the aptitude test together and then divide that number by the number of scores recorded, so it would be 777/8 which equals 97

b) add all of the numbers from the personality test together and then divide that by the number of scores recorded, so it would be 311/8 which equals 38.9

i hope this helps.

Answer:

False

Step-by-step explanation:

4 is not prime, it would be 2^2*3^2

Answer:

Least children=9

Step-by-step explanation:

there can be at least 1 row of 6 kids with 3 left so that is 9 kids. and there can be at least 1 row of 8 kids with 3 left so there is 11 kids. So the least number of kids possible is 9.

add all the values together

54.29+87.20=141.49

141.49+21.44=162.93

Answer:

$162.93

Step-by-step explanation:

Do 54.29 + 87.20 + 21.44 and get 162.93 than put this $ in front of you answer  then you have $162.93

Answer:

A

Step-by-step explanation:

The second event is dependent on the first.

Answer:

Step-by-step explanation:

The distributive property of multiplication over addition can be used when you multiply a number by a sum. For example, suppose you want to multiply 3 by the sum of 10 + 2. 3(10 + 2) = ? According to this property, you can add the numbers and then multiply by 3.

Answer:

Option C.

Step-by-step explanation:

Given: In [tex]\Delta OPQ,m\angle O=107^{\circ},m\angle P=28^{\circ} [/tex].

In [tex]\Delta OPQ[/tex],

[tex]m\angle O+m\angle P+m\angle Q=180^{\circ}[/tex]    (Angle sum property)

[tex]107^{\circ}+28^{\circ}+m\angle Q=180^{\circ}[/tex]

[tex]135^{\circ}+m\angle Q=180^{\circ}[/tex]

[tex]m\angle Q=180^{\circ}-135^{\circ}[/tex]

[tex]m\angle Q=45^{\circ}[/tex]

Now,

[tex]m\angle O>m\angle Q>m\angle P[/tex]

In a triangle, the greatest angle has largest opposite side and smallest angle has smallest opposite side. So, we conclude that

[tex]PQ>OP>QO[/tex]

Therefore, the correct option is C.

Answer:

Sports, Class, Bathrooms

Step-by-step explanation:

When playing sports it is near impossible to social distance. Tackling contact, you name it. Sitting in class, sharing desks with the classes that come before. Especially that student that hides gum under the table. Everyone shares bathrooms. It can't be cleaned as soon as someone uses it. All of these are reasons for the virus to spread.

Answer:

A large body of students could prove to be very dangerous, given how contagious the virus in question is. Students and teachers make contact with each other constantly, and that will surely infect nearly 70% of the facility's occupants.

Answer:

Maximum revenue is 11200 at price p=10.

Step-by-step explanation:

If a quadratic function is defined by [tex]f(x)=ax^2+bx+c[/tex] and a<0, then it is maximum at [tex](\frac{-b}{2a},f(\frac{-b}{2a}))[/tex].

The revenue model of a company is

[tex]R=-12p^2+240p+10,000[/tex]

Here, [tex]a=-12, b=240,c=10000[/tex].

So,

[tex]-\dfrac{b}{2a}=-\dfrac{240}{2(-12)}=10[/tex]

It means, revenue is maximum at price 10.

Substitute p=10 in the revenue function.

[tex]R=-12(10)^2+240(10)+10000[/tex]

[tex]R=-1200+2400+10,000[/tex]

[tex]R=11,200[/tex]

Therefore, maximum revenue is 11200 at price p=10.

Answer:

4

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] ÷ [tex]\frac{1}{8}[/tex] = 4

Given:

To find out:

Find the height, h ?

Formula used :

Area of rectangular prism ( cuboid ) = 2 ( lb + bh + hl )

Solution:

We know that that,

Area of rectangular prism ( cuboid ) = 2 ( lb + bh + hl )

=> 448 = 2 ( 14 × 6 + 6 × h + h × 14 )

=> 448 = 2 ( 84 + 6h + 14h )

=> 448 = 2 ( 84 + 20h )

=> 448 = 168 + 40h

=> 40h = 448 - 168

=> 40h = 280

=> h = 280/40

=> h = 7 cm

Answer:

x^3/8

Step-by-step explanation:

Use  n √ a^ x  = a ^x/ n  to rewrite  8 √ x ^3  as  x ^3/ 8 .

Answer:

a) 1/6, b) 11/36, c) 1/4, d) 0, e) 50

Step-by-step explanation:

a. What is the estimate for the probability of selecting a blue crayon?

b. What is the estimate for the probability of selecting a brown crayon?

c. What is the estimate for the probability of selecting a red or yellow crayon?

d. What is the estimate for the probability of selecting a pink crayon?

e. If there are 300 crayons in the bag,how many will be red? Show your work.

Answer:

a) 1/6, b) 11/36, c) 1/4, d) 0, e) 50

Answer: A

Step-by-step explanation: Range is the distance between one point to the next. That would make A the correct answer.

Answer:

Step-by-step explanation:

h(x) = x² - 2x + 6

h(0) = 0  - 0 + 6 = 6

h(-2) = (-2)² -2*(-2) + 6

       = 4 + 4 + 6

       = 14

Answer:

Option D.

Step-by-step explanation:

It is given that the endpoints of the diameter of a circle are (6, 5) and (−2, 3). So, midpoint of these end point is the center of the circle.

[tex]Center=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]Center=\left(\dfrac{6+(-2)}{2},\dfrac{5+3}{2}\right)[/tex]

[tex]Center=\left(\dfrac{4}{2},\dfrac{8}{2}\right)[/tex]

[tex]Center=\left(2,4\right)[/tex]

So, center of the circle is (2,4).

Length of diameter of the circle is the distance between (6, 5) and (−2, 3).

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]d=\sqrt{(-2-6)^2+(3-5)^2}[/tex]

[tex]d=\sqrt{(-8)^2+(-2)^2}[/tex]

[tex]d=\sqrt{64+4}[/tex]

[tex]d=\sqrt{68}[/tex]

[tex]d=2\sqrt{17}[/tex]

So, radius of the circle is

[tex]r=\dfrac{d}{2}=\dfrac{2\sqrt{17}}{2}=\sqrt{17}[/tex]

Standard form of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]

where, (h,k) is center of the circle and r is radius.

Substitute h=2, k=4 and [tex]r=\sqrt{17}[/tex] in the above equation.

[tex](x-2)^2+(y-4)^2=(\sqrt{17})^2[/tex]

[tex](x-2)^2+(y-4)^2=17[/tex]

Therefore, the correct option is D.

Answer:

1.mi^3,cubic inches, m^3

2. a)24 b)72

3) 34/3pi meters

Step-by-step explanation:

any thing to the ^3 measures vo;ume

2. a) 4*6=24 b) 24*3=72

3. volume is πr2h

3

Answer:

its Combine like terms sorry the answer is kind of late

Step-by-step explanation:

The first step in solving the given equation is Combine the like terms.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given is an equation,

gx + 3x + 2 = 57

Like terms are terms which are having the same variable or they are constants.

Here gx and 3x are like terms since both of then has the variable x.

2 and 57 are constants.

gx + 3x + 2 = 57

Combine the like terms.

(g + 3)x = 57 - 2

(g + 3)x = 55

Hence the first step is combining like terms.

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Answer:

45

Step-by-step explanation:

40 is 18% of 45

The number that equals 18 is 45.

Answer: 45

Hope this helps.

Answer:

A≈527.79

Step-by-step explanation:

A=2πrh+2πr2=2·π·7·5+2·π·72≈527.78757

Answer:

x=16.97056274... or 12[tex]\sqrt{2}[/tex]

Step-by-step explanation:

the hypotenuse of a 45, 45, 90 triangle is the length of the leg times the square root of 2

Answer:

$29

Step-by-step explanation:

2*1.25

2*3.75

2*1.5

4*1.75

4*2.25

multiply these and add them all up and you get 29

Answer:

$29.00

Step-by-step explanation:

you can solve this by writing a simple equation. (2 x 1.25) + (2 x 3.75) + (2 x 1.5) + (4 x 1.75) + (4 x 2.25) = Y. You can solve this by hand by following PEMDAS, or you could simply just plug it into a calculator.

Answer:

A circle with radius of 5 feet would have a circumference of

(2*5*PI) = 31.4159265359  

This would mean the 7 foot arc would be (7 / 31.4159265359 ) or 0.2228169203  of the circle.

0.2228169203  * 360 = 80.2140913183  degrees

80.2140913183  degrees = 1.4 radians

and 7/5 = 1.4

Therefore the answer is the second one 7 / 5

Step-by-step explanation:

Answer:

The answer to this question is

2. B) Theta = Seven-fifths

The answers to the entire test (except for the ones i got wrong and don't know) are

1. B) pi/4 * 180/pi

2. B) Theta = 7/5

3. B) r = 14/6

4. ? (I know that it is not B) 45 * 180/pi)

5. C) 60°

6. D) 4pi

7. B) 19.1 in.

8. D) 7.1 cm

9. C) 150°

10. ? (I know that it is not C) 3pi/10, pi/2, 2pi/3, 60°, 255°)

Step-by-step explanation:

Just took it. Edg 2021. Hope this helps :) (smiley's name is George, George says hi)

Answer: $408 04

Step-by-step explanation:

Average of the car = 27 miles per gallon

Petrol required to travel 2727 miles = 2727 / 27 = 101 gallons

Cost of petrol = 101 x 4.04 = 408.04