If Janet rolls a fair 6-sided number cube 300 times, what is a reasonable prediction
on how many times she will roll a 5?

Bisector of the angle is the line that divides the angle into two angles with the same measure. In the image attached, the bisector of the angle is represented by the green line.

The next steps show you how to construct the bisector of the angle from a ruler and a compass.

Finally, you have the bisector of the angle that is represented by the green line.

Learn more about the bisector of the angle here:

https://brainly.com/question/7288045

Answer:

152,116,8684

Step-by-step explanation:

multiple

Answer:

152,116,868.404

Step-by-step explanation:

0.9401 x 161,809,242 = 152,116,868.404

Answer:

1.    b. 0.05 and 0.09

2.   d. 16%

3.    a. 0.15%

Step-by-step explanation:

Given that :

mean = 0.07

standard deviation = 0.01

Confidence interval = 95%

The level of significance ∝= 1 - 0.95 = 0.05

At 0.05 level of significance,

critical value for \(z_{\alpha/2} = z_{0.05/2}\)

critical value for \(z_{0.025}\)  = 1.96

Confidence interval = \(\mathtt{\mu \pm ( {z} \times{\sigma})}\)

Lower limit = \(\mathtt{\mu -( {z} \times{\sigma})}\)

Upper Limit = \(\mathtt{\mu +( {z} \times{\sigma})}\)

Lower limit = \(\mathtt{0.07 - ({1.96} \times {0.01})}\)

Upper limit = \(\mathtt{0.07 + ({1.96} \times {0.01})}\)

Lower limit = 0.07 - 0.0196

Upper limit = 0.07 + 0.0196

Lower limit = 0.0504  \(\simeq\) 0.05

Upper limit = 0.0896    \(\simeq\) 0.09

The confidence interval of 95% is ( 0.05, 0.09)

2. What percent of students who drink five beers have a BAC above 0.08 (the legal limit for driving in most states)?

\(P(X> 0.08) = P(\dfrac{0.08 - \mu}{\sigma} > \dfrac{X - \mu}{\sigma} )\)

\(P(X > 0.08) = P(z > \dfrac{0.08 - 0.07}{0.01} )\)

\(P(X > 0.08) = P(z > \dfrac{0.01}{0.01} )\)

\(P(X > 0.08) = P(z > 1 )\)

\(P(X> 0.08) = 1- P(z < 1 )\)

P(X > 0.08) = 1 - 0.8413

P(X > 0.08) = 0.1587

P(X > 0.08) \(\simeq\) 16%  

3. What percent of students who drink five beers have a BAC above 0.10 (the legal limit for driving in most states)?

\(P(X> 0.10) = P(\dfrac{0.10 - \mu}{\sigma} > \dfrac{X - \mu}{\sigma} )\)

\(P(X > 0.10) = P(z > \dfrac{0.10 - 0.07}{0.01} )\)

\(P(X > 0.10) = P(z > \dfrac{0.03}{0.01} )\)

\(P(X > 0.10) = P(z > 3)\)

\(P(X> 0.10) = 1- P(z < 3 )\)

P(X > 0.10) = 1 - 0.9987

P(X > 0.08) = 0.0013

P(X > 0.08) \(\simeq\) 0.15%  which is the closet value to 0.0013

Answer:

Number of children in theater   = 94

Number of students   = 46

Number of adults in theater= 47

Step-by-step explanation:

Total seating capacity in the theater = 187

Let us assume the number of students in the theater = m

and assume  the number of children in the theater = 2k

So, the number of adults in theater = Half of number of children = 2k/2 = k

⇒ Number of ( Adults + Children + students) = 187

⇒ k  + 2k + m =  187, or 3k + m = 187

Step-by-step explanation:

Answer:

I'm pretty sure it's 1800!!

Answer:

Amadi: 20 years old

Chima : 4 years old

Answer:

Step-by-step explanation:

Answer:

A) 0.25/0.6      B) 40:96    E) 1/3 / 0.8

Step-by-step explanation:

A)

0.25/0.6  = 1/4÷3/5

=5/12

B)

40:96 = 5:12               You can divide 40 and 96 both by 8 to get 5:12

=5/12

E)

1/3 / 0.8 = 1/3 ÷ 4/5

=5/12

Hope this helps :)

Answer:

58 members of the House of Representatives, and 28 members of the senate.

Step-by-step explanation:

We can find the answer to this by simply subtracting:

86 - 58 = 28

So, there are 58 members of the House of Representatives, and 28 members of the senate.

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 3 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Answer:

6x2-10x-4

Step-by-step explanation:

hx=(2x-4)(3x+1)

hx=2x(3x+1)-4(3x+1)

hx=6x2+2x-12x-4

hx=6x2-10x-4

The given expression is,

We know, (a+b)(c+d)=a(b+c)+b(c+d).

Hence, applying the above indentity to expression (1),

Also, a(b+c)=ab+ac. Applying this identity to the above expression, we get

Multiplying the terms,

Rearrange the terms.

Therefore, the product of the given expression is,

Hence, option (D) is correct.

Rounding to the nearest hundredth, the area is approximately 151.976 cm².

The formula for the area of a sector is:

A = (θ/360) x πr²

where θ is the central angle in degrees, r is the radius, and π is pi (3.14).

Plugging in the given values, we get:

A = (144/360) x 3.14 x 11^2

A = 0.4 x 3.14 x 121

A = 151.976

To learn more about the area;

https://brainly.com/question/27683633

#SPJ1

Answer:

3

Step-by-step explanation:

(x + 1) : (3x + 1) = 8 : 20

20(x + 1) = 8(3x + 1)

20x + 20 = 24x + 8

12 = 4x

x = 3

The actual distance represented by 23.7 cm on the map is 355.5 km.

To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.

Mabaso has R140, Thabo has R70, and Ally has R35.

The ratio of Mabaso's money to Thabo's money is:

R140 ÷ R35 = 4

The ratio of Mabaso's money to Ally's money is:

R140 ÷ R35 = 4

Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.

To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.

Original price: R750

Discounted price: R600

Discount: R750 - R600 = R150

Percentage discount: (R150 ÷ R750) × 100 = 20%

So, the table has a 20% discount on Black Friday.

To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).

125 g ÷ 1,000 = 0.125 kg

Therefore, 125 grams is equal to 0.125 kilograms.

If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.

Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags

Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.

If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.

1 cm on the map represents 1,500,000 cm in reality.

23.7 cm on the map represents x cm in reality.

x = 23.7 cm × 1,500,000 cm = 35,550,000 cm

To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).

35,550,000 cm ÷ 100,000 = 355.5 km

For more such questions on distance

https://brainly.com/question/30395212

#SPJ8

Answer: The function would have a minimum value because the least you will ever have is 0$. It cannot go below 0, so that is the minimum. However, depending on how much time has passed, the maximum amount of money you have can change. It can always go up more, so there is no set maximum.

Step-by-step explanation:

Answer:

1 2 4 8 16 32 64

Step-by-step explanation:

prime factors of 64 is 2 so

2____64

2____32

2____16

2_____8

2_____4

2_____2

1

Answer:

factors of 64= 1,2,4,8,16,32 and 64

Step-by-step explanation:

when you speak of HCF.

it should be when comparing 2 or more factors

Answer: if those are the smaller parts then the other side has to be as big as the 2 together or more and if the 13 is the biggest part the other has to be something plus the 4 that makes 13 or more

Step-by-step explanation:

Answer:

the possible lenths are 13 or more

well, the tax amount is simple, it was $71 and it went up to $86.45, that's a 15.45 difference, so that IS the tax amount.

now, if we take 71(origin amount) to be the 100%, what's 15.45 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 71 & 100\\ 15.45& x \end{array} \implies \cfrac{71}{15.45}~~=~~\cfrac{100}{x} \\\\\\ 71x=1545\implies x=\cfrac{1545}{71}\implies x\approx 21.76\)

You did not copy the image with the question. Sometimes you have to screenshot or use the Snip-it app to get the image.

Answer:

A. $60.25

B. 76 miles

C. 216 miles

Step-by-step explanation:

x is miles

y is total amount spent

For A, 57 miles is the x value. Plug that in to x.

y= 46 + .25(57)

y= 60.25

For B, the total is the y. So plug 65 in for y.

65 = 46 + .25x   Subtract 46 from both sides

19 = .25x             Divide by .25

76 = x

For C, the maximum you can spend is $100. Plug that in for y.

100 = 46 + .25x   Subtract 46 from both sides

54 = .25x             Divide by .25

216 = x

The answer for part a is $60.25, for part b the answer is 76 miles, and for part c the answer is 216 miles.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The equation to represent the cost would be y=46+0.25x

x is the number of miles.

a) What is your cost if you travel 57 miles?

Plug x = 57 in the above equation:

y = 46 + 0.25(57)

y = $60.25

b) If your cost was $65.00, how many miles were you charged for traveling?

Plug y = 65 in the equation:

65 = 46 + 0.25x

x = 76 miles

c) Suppose you have a maximum of $100 to spend for the car rental. What would be the maximum number of miles you could travel?

Plug y = 100 in the equation:

100 = 46 + 0.25x

x = 216 miles

Thus, the answer for part a is $60.25, for part b the answer is 76 miles, and for part c the answer is 216 miles.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

Answer:

d

Step-by-step explanation:

none of the above mhhmm

Answer:

the answer to the question is 231.4 cm^2

Step-by-step explanation:

just got it wrong  

Answer:

True

Step-by-step explanation:

-_-

Answer:

The predicted value of y is 504.5.

Step-by-step explanation:

Let be \(y = 152 + 12.9\cdot x_{1} + 2.7\cdot x_{2}\), for all \(x_{1}, x_{2} \in \mathbb{R}\). If \(x_{1} = 20\) and \(x_{2} = 35\), the predicted value of y is:

\(y = 152 + 12.9\cdot (20) + 2.7\cdot (35)\)

\(y = 504.5\)

The predicted value of y is 504.5.

Answer:

Step-by-step explanation:

5√10×4√6=(5×4)√(10×6)=20√60=20√(4×15)=(20×2)√15=40√15≈77.4596669241...

The result is irrational because it can not be written as the ratio of two integers and its decimal expansion 77.4596669241

Answer:

4 1/10 when u have a inproper fraction like that every 10 is one whole number

Answer:

4 5/6

Step-by-step explanation:

The fraction you have is 58 square feet /12 hour how many times does 12 go into 58 it goes into 58 evenly 4 times 4*12=48

58/12 - 48/12 = 10/12 which can be reduced to 5/6 because 2 goes into 10 and 12 evenly

The probability of a prime number or a number greater than 3 coming up is given as follows:

5/6.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

When a dice is thrown, there are six possible outcomes, ranging from 1 to 6, and the desired outcomes are given as follows:

Hence the probability is given as follows:

5/6.

Learn more about the concept of probability at https://brainly.com/question/24756209

#SPJ1

\(answer \\ 2\\ solution \\ 10x - 3(x - 6) = x + 30 \\ or \: 10x - 3x + 18 = x + 30 \\ or \: 10x - 3x - x = 30 - 18 \\ or \: 7x - x = 12 \\ or \: 6x = 12 \\ or \: x = \frac{12}{6} \\ x = 2 \\ hope \: it \: helps\)

Answer:

x=2

Step-by-step explanation:

10x - 3(x- 6) = x + 30

Distribute

10x -3x+18 = x+30

Combine like terms

7x + 18 = x+30

Subtract x from each side

6x+18 = 30

Subtract 18 from each side

6x = 30-18

6x = 12

Divide by 6

6x/6 = 12/6

x =2

Answer:

60°, 120°, 180°

Step-by-step explanation:

Ration: 1:2:3, let's create a variable k that will be equal to 1 from the ratio. The sum of k(s) is equal to 1+2+3 = 6

6k = 360°

k = 360/6 = 60°

Angle 1 = 1k = 1 * 60 = 60°

Angle 2 = 2k = 2*60 = 120°

Angle 3 = 3k = 3*60 = 180°

Please mark as brainliest if you find this useful, I need it to rank up