A number cube with the numbers 1 through 6 is rolled. Find the given probability

Answer:

it will take around 4.5 weeks

Step-by-step explanation:

614 divided by 134 will give you 4.582

Answer:

4.6 weeks

Step-by-step explanation:

In the question, it stated that the plant grows at the rate of 134 inches per week. And we can get the proportion:

[tex]\frac{1 week}{134 inches}[/tex]

Now, if you want to get the number of weeks it takes to grow 614 inches, set up the proportion

[tex]\frac{x }{614 inches}[/tex]

with x representing the number of weeks we are trying to find.

Since the two fractions are proprtional - we assume that the plant will always grow at the same rate, then we can state:

[tex]\frac{x }{614 inches}[/tex] = [tex]\frac{1 week}{134 inches}[/tex]

Now, cross multiply and simplify:

134x = 614

x = 614/134

x = 4.6 (Weeks)

Answer:

3.6

Step-by-step explanation:

The average of 9 scores is x.

average = (sum of scores)/(number of scores)

x = (sum of scores)/9

sum of scores = 9x

The sum of the 9 scores is 9x.

The tenth score is 36 more than x, so it is x + 36.

The sum of the 10 scores is 9x + x + 36 = 10x + 36.

The average of the 10 scores is (10x + 36)/10 = x + 3.6

The difference of averages is

x + 3.6 - x = 3.6

Answer:

-x

Step-by-step explanation:

Answer:

diameter of the wheel = 28.98 in (2 d.p.)

Step-by-step explanation:

Given information:

Circumference of a circle = πd  (where d is the diameter)

One rotation of the wheel is equal to the circumference of the wheel.

Therefore, 5 rotations is equal to the sum of 5 circumferences.

To find the diameter of the wheel in feet, equate the expression for 5 circumferences to the total distance traveled and solve for d:

[tex]\begin{aligned}\textsf{5 circumferences} & = \textsf{total distance traveled}\\\implies 5 \pi d & = \sf 37.94\: ft\\d & = \sf \dfrac{37.94}{5 \pi}\\d & = \sf 2.415335416... \:ft \end{aligned}[/tex]

As 1 foot = 12 inches, multiply the found diameter in feet by 12 to calculate the diameter in inches:

[tex]\begin{aligned}d & =2.415335416... \times 12\\\implies d & = \sf 28.98\:\:in\:(2\:d.p.)\end{aligned}[/tex]

Therefore, the diameter of the wheel is 28.98 in (2 d.p.).

Answer:

The triangles are not similar

Step-by-step explanation:

Answer:

2/3  is the probability that Sandra will not make the team.

Hope it helps!!!

Answer:

2/3

Step-by-step explanation:

If something will happen with 100% certainty, then the probability is 1 or 100%.

If she has a 1/3 chance of making the team, the the chance of not making the team is 1 - 1/3 which equals 2/3.

Answer: 2/3

Pythagorean Theorem

Step-by-step explanation:

a squared time b squared plus c squared I think

Answer:

3ft

Step-by-step explanation:

c^2 = a^2 + b^2 so, we have c = 5ft, and  lets call this one a = 4ft

so: x^2 = 5^2 - 4^2 => x = sqrt(25 - 16) => x = 3ft

Answer:

Jillene will spend $345.60 in 6 months.

Step-by-step explanation:

To find the answer we will turn 24% into a decimal.  24% ÷ 100 = 0.24.  Now multiply 0.24 by $240 and we get $57.60.  Because we are trying to find how much Jillene will spend in 6 months, we will multiply $57.60 by 6, which is $345.60.  Therefore, $345.60 is our answer.

Answer: $1785.60

Step-by-step explanation:

240 x 6 = 1440

240 x 0.24 = 57.6

57.6 x 6 = 345.6

1440 + 345.6 = 1785.60

Final Answer: $1785.60

Answer:

33.1in³

Step-by-step explanation:

Volume of the square based pyramid = BH/3

B is the base area

H is the height

Base area = L²

Base area = 4.7²

Base area = 22.09 square inches

Height = 4.5in

Get the volume

Volume of the pyramid = 22.09*4.5/3

Volume of the pyramid = 22.09 * 1.5

Volume of the pyramid = 33.135in³

Hence the volume of the square based pyramid to the nearest tenth of a cubic inch is 33.1in³

Answer:

Step-by-step explanation:

Answer:

y = -1/3x - 7/3

Step-by-step explanation:

To find the slope, you have to plug the values into the slope formula.

y2 - y1/ x2 - x1

-4 - (-2) / 5 - (-1)

-1/3

Now to find the y-intercept, plug in one of the coordinates into the equation.

y = -1/3x + b

-2 = -1/3(-1) +b

-2 = 1/3 + b

-7/3 = b

The equation is y = -1/3x - 7/3.  

The Solution is Y = - ( 1 / 3 )X - 7 / 3 where points are ( 5 , - 4) and ( - 1 , - 2) that passes through a straight line. Y = MX + C is the Formula for Straight line equation.

As per given problem, M is Slope

M = (Y2 - Y1) / (X2 - X1)

M = (- 4 - (- 2)) / ( 5 - (- 1))

M = - (1 / 3)

Now, Line becomes

- 2 = - ( 1 / 3) x (- 1)+ C

- 2 = 1 / 3 + C

C = - (7 / 3)

So, Solution:  Y = - (1 / 3)X - (7 / 3)

To know more about Straight Line Problems, refer to the below link

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Answer:

11/4

Step-by-step explanation:

Answer:

D 18

Step-by-step explanation:

Answer:

a.) Side length of the square is 6 units.

b.) Side length of the square is sqrt(37) units.

c.) Side length of the square is 10/3 units.

d.) Side length of the square is sqrt(2/5) units.

e.) Side length of the square is 0.01 units.

f.) Side length of the square is sqrt(11)/10 units.

Step-by-step explanation:

To find - Write the exact value of the side length of a square whose are in square units are given

a) 36

b) 37

c) 100/9

d) 2/5

e) 0.0001

f) 0.11

Proof -

We know that ,

If a is the side length of the square then,

Area of square = a²

Now,

a) 36

⇒a² = 36

⇒a² = (6)²

⇒a = 6

∴ we get

Side length of the square is 6 units.

b.) 37

⇒a² = 37

⇒a² = [sqrt(37)]²

⇒a = sqrt(37)

∴ we get

Side length of the square is sqrt(37) units.

c.)100/9

⇒a² = 100/9

⇒a² = [10/3]²

⇒a = 10/3

∴ we get

Side length of the square is 10/3 units.

d.)2/5

⇒a² = 2/5

⇒a² = [sqrt(2/5)]²

⇒a = sqrt(2/5)

∴ we get

Side length of the square is sqrt(2/5) units.

e.)0.0001

⇒a² = 0.0001

⇒a² = [0.01]²

⇒a = 0.01

∴ we get

Side length of the square is 0.01 units.

f.)0.11

⇒a² = 0.11

⇒a² = [sqrt(11)/10]²

⇒a = sqrt(11)/10

∴ we get

Side length of the square is sqrt(11)/10 units.

We get the value of the,

a.) Side length of the square is 6 units.

b.) Side length of the square is sqrt(37) units.

c.) Side length of the square is 10/3 units.

d.) Side length of the square is sqrt(2/5) units.

e.) Side length of the square is 0.01 units.

f.) Side length of the square is sqrt(11)/10 units.

We have to find the exact value of the side length of a square whose are in square units are given

a) 36

b) 37

c) 100/9

d) 2/5

e) 0.0001

f) 0.11

We have given that,sqrt(9) to represent the square root of 9.

We know that ,

If a is the side length of the square then,

Area of square = a²

For option a) 36

⇒a² = 36

⇒a² = (6)²

⇒a = 6

∴ we get side length of the square is 6 units.

For the option b is  37.

⇒a² = 37

⇒[tex]a^2 = \sqrt{37} ^2[/tex]

⇒[tex]a = sqrt(37)[/tex]

∴ we get side length of the square is  [tex]\sqrt(37)[/tex]  units.

c.)100/9

⇒[tex]a^2 = 100/9[/tex]

⇒[tex]a^2= [10/3]^2[/tex]

⇒[tex]a = 10/3[/tex]

∴ we get side length of the square is 10/3 units.

for the option d.)2/5

[tex]a^2= 2/5[/tex]

[tex]a^2 = [\sqrt(2/5)]^2[/tex]

⇒[tex]a = \sqrt(2/5)[/tex]

∴ we get side length of the square is [tex]\sqrt(2/5)[/tex]units.

for the option e.)0.0001

[tex]a^2 = 0.0001[/tex]

[tex]a^2 = [0.01]^2[/tex]

[tex]a = 0.01[/tex]

∴ we get side length of the square is 0.01 units.

For option f.)0.11

⇒[tex]a^2 = 0.11[/tex]

⇒[tex]a^2= [\sqrt(11)/10]^2[/tex]

[tex]a = \sqrt(11)/10[/tex]

∴ we get side length of the square is[tex]\sqrt(11)/10[/tex] units.

Therefore we get,we get the value of the,

a.) Side length of the square is 6 units.

b.) Side length of the square is sqrt(37) units.

c.) Side length of the square is 10/3 units.

d.) Side length of the square is sqrt(2/5) units.

e.) Side length of the square is 0.01 units.

f.) Side length of the square is sqrt(11)/10 units.

To learn more about  the area visit:

https://brainly.com/question/25292087

Answer:

4.5 feet

Step-by-step explanation:

One foot is 12 inches, therefore she is 4 (12x4=48) and she would have 6 left over which is half of a foot. (:

Answer:

$448.76

$73.76

Step-by-step explanation:

We are to calculate the future value with monthly compounding

The formula for calculating future value:

FV = P (1 + r/m)^mn

FV = Future value  

P = Present value  

R = interest rate

m = number of compounding

N = number of years  

$375 x ( 1 + 0.06/12)^12 x 3

$375 x (1.005)^36 = $448.76

Interest earned = future value - amount saved

$448.76 -  $375  = $73.76

Answer:

it's either b or d.

Step-by-step explanation:

I'm not entirely sure, but its one of those.

Answer: 8

Step-by-step explanation:

x^2 = (34•34)-1,092

x^2= 1,156-1,092

x^2= 64

x=8

Answer:

450 cm^3

Step-by-step explanation:

( 1/2 (5+7.5) 6 ) 12

Answer:

The answer I think would be 8.

Step-by-step explanation:

Answer:

natural resource department does not receive a 4 star rating

Step-by-step explanation:

The type I error is also known as the 'false positive'.

It means we means we reject or make an error while the condition or the result is actually true. In other words, we can say that we are rejecting the null hypothesis but the hypothesis is actually true in all populations.

A 'false negative' is considered a type II error.

in the context, the hypothesis is concentration of fluoride in water which should be less than 4%. This is true but the department does not a 4 star rating when the concentration is less than 4% on the water supply. So this is the type I error.

Answer:

40 twenties and 85 tens

Step-by-step explanation:

10x+20y=1650

10x+10y=1250

10y=400

y=40

Answer:

[tex]<ADB=9[/tex]×[tex]5+4[/tex][tex]=49[/tex]

Step-by-step explanation:

[tex]<(13x-16)=<(9n+4)\\\\13x-9x=4+16\\\\4x=20\\\\x=\frac{20}{4} \\\\x=5\\\\<ADB=9*5+4=49[/tex]

hope it helps....

Answer:

x=1

Step-by-step explanation:

5x1=5

Answer:

15 -2

Step-by-step explanation:

Answer:

y= 6/5x +0

Step-by-step explanation:

That just be how it is

Answer: y= 3/2 x

Step-by-step explanation:

use y = mx + b

Answer: [tex]y=-\frac{3}{2}x+12[/tex]

Step-by-step explanation:

To find the equation of line B, we need to find the slope first, then the y-intercept. We first want to convert line A into slope-intercept form, so we can find the slope.

[tex]3x+2y=10[/tex]            [subtract both sides by 3x]

[tex]2y=10-3x[/tex]            [divide both sides by 2]

[tex]y=5-\frac{3}{2}x[/tex]

With the slope-intercept form of line A, we can see that the slope is [tex]-\frac{3}{2}[/tex]. We take the slope and the given point (4,6) to find the y-intercept of line B.

[tex]y=-\frac{3}{2}x+b[/tex]            [plug in (4,6)]

[tex]6=-\frac{3}{2}(4)+b[/tex]         [multiply]

[tex]6=-6+b[/tex]              [add both sides by 6]

[tex]b=12[/tex]

With the y-intercept, we know the equation for line B is [tex]y=-\frac{3}{2}x+12[/tex].