Dina has a number cube that she uses for a game.
The number cube has the shape of a triangular pyramid, with 4 faces numbered 1 through 4. Dina rolls the number cube 100 times and records the results. She calculates the relative frequency of each outcome.

Outcome 1 2 3 4
Relative Frequency 0.23 0.24 0.26 0.27

Which statements about Dina's experiment are true?
Select each correct answer.
The relative frequencies in the table are reasonably close.
The theoretical probability of rolling an even number is 0.51.
The relative frequency of rolling an even number is 0.51.
The number cube is not likely to be fair.

Answer:

Juan rode more slowly

Step-by-step explanation:

Have a nice day

Answer:

4. 23

4. 206

5. 75 ft

7. 6 sections

8. 6 families

Step-by-step explanation:

4. 3x + 5 is the same thing as 3 x 6 + 5 so it equals to 23

4. x to the power of 3 - 10 is equal to 6 to the power of 3 - 10 so it equals to 206

5. Formula for area of triangle = 1/2 x base x height

So, it's 1/2 x 10 x 15 = 75

7. 3/4 ÷ 1/8 = 6 (Trick: When dividing fractions, make sure to flip the fraction for the 2nd one and leave the 1st one as the same. After that, multiply them together)

8. 3 families have 4-5 pets, 2 families have 6-7 pets and 1 family have 8-9 pets. At least 4 pets means 4 pets and above. So 3 + 2 + 1 = 6 families.

4.      3x + 5. Substitute the X for 6. The expression is (3 x 6) + 5= 23.

X³ - 10. Substitute the X for 6. 6³-10= 216.

5.       I'm not 100% sure but I believe that it is 75. I might be wrong.

6.       6

7.       6

I hope that this helps!

Hail Hydra!

Answer:

i think it is B but put what u think and tell me if u thought B is corrrect though thank u have a great day

Step-by-step explanation:

Answer:

70-79 is the answer

Step-by-step explanation:

Answer:

-2x - 6

Step-by-step explanation:

Multiplication must be done before addition or subtraction.  Thus, we leave '4' as is and multiply out -2(x + 5), obtaining:

4 - 2x - 10, or -2x - 6

Answer:

$15 per pair

Step-by-step explanation:

We know that the total amount of money she spent on the shoes (without discount) is 3x. Since she used a $10 off coupon, the money she spent is 3x - 10, since $10 off means - 10. And this amount equals $35:

[tex]3x - 10 = 35\\3x = 45\\x = 45/3 \\x = 15[/tex]

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Answer:

The answer is Graph F

Graph F is the answer because it says that every hour Juana spends reading books, she reads 0.25 hours reading magazines. This means that in 2 hours she's spent 0.5 hours reading magazines, and the data points continue in that order.

Answer:

f

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

10/2.5=4

Answer:

8.75+7.45=16.2. 16.2 is equal to $16.20 so 48.00-16.20=31.8. Jonathan had $31.80 left.

Step-by-step explanation:

Answer:

16q + 8

Step-by-step explanation:

(7q+7)+(9q+1)

7q + 7 + 9q + 1

16q + 8

Answer:

16q+8

hope this helps :)

Answer:

7

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

the approximate annual interest rate on the savings account is 7.2%.

Simple interest is the amount of interest charged on a specific principal amount at a specific interest rate. Compound interest, on the other hand, is the interest that is computed using both the principal and the interest that has accumulated over the preceding period.

Given, Eight years after opening her savings account, Macy had $7,880 in the account which earns annual simple interest.

from the general formula of Simple interest:

Simple interest(SI) = p*r*t/100

where, p = principal amount

r = rate of interest

t = time

in our case

p = 5000,

SI = 7880 - 5000 = 2880

t = 8

Thus,

2880 = 5000 * r *8/100

r = 2880/50*8

r = 7.2%

Thus rate of interest = 7.2%

therefore, the approximate annual interest rate on the savings account is 7.2%.

Learn more bout simple interests here:

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Answer:

B {CCC, CCM, CMC, MCC, MMC, MCM, CMM, MMM}

Step-by-step explanation:

Ima try to explain this in the process of elimination:

A isn't right since he only throws the ball 3 times

C isn't right, since he could catch it, miss, then catch again and would still match the criteria stated.

D Isn't right since he threw it 3 times, not twice

that only leaved B to be correct! Hope this helps!

Answer:

$17

Step-by-step explanation:

Tip = $8.00

Pizzas cost:

First you have to do 12% of $8.00 which = $0.96

Then you have to add the $0.96 to the $8.00 which = $8.96

Total = $8.00 + $8.96

         = $16.96

then round it to nearest cent which is $17

Answer:

$74.67

Step-by-step explanation:

$8 was 12% of the cost of the pizzas, so we have to add that to the initial cost. The initial cost can be found by (8*100)/12, which would be $66.67. Since we need to find the total amount of money spent, we have to add the initial cost of pizzas and the $8 tip, which is 12% of that. Final answer is $74.67

Answer: 1. F

2. C

3.a

4. E

5. D

6. B

Step-by-step explanation:

Answer:

ima say $360.correct me if im wrong-^-

Step-by-step explanation:

The total amount of money in Mr. Peralta's savings account is $360.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Mr. Peralta had $300 in his savings account in March.

By August, the value of the savings account had increased by 20%.

Let, 'x' be the total amount after an increase of 20%.

So, 120% of $300 is 'x'.

Therefore,

(120/100)×300 = x.

300×1.2 = x.

x = 360.

So, By august total money in his account is $360.

learn more about percentages here :

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Answer:d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

They are the closest together making a more consistent graph

Answer:

1) x-3=0

4) 6=2x

6) x²=9

Step-by-step explanation:

x-3=0

x=3

----

1+x = 2

x = 2-1

x = 1

----

9-x=3

9-3=x

6=x

----

6=2x

6/2=x

3=x

----

x/5=3

x=3*5

x=15

----

x²=9

x=±3

These are the value of x solved for each equations. If you have any questions, feel free to ask.

Answer:

1. yes

2. no

3. no

4. yes

5. no

6. yes

Step-by-step explanation:

The correct weight to the nearest 1/8 pound from the considered image is 3.55 pounds. In reduced fraction form, it is 71/20 pounds approx.

For conversion from decimal to fraction, we write it in the form a/b such that the result of the fraction comes as the given decimal. Usually, to get the decimal of the form a.bcd, we count how many digits are there after the decimal point (if its finite), then we write 10 raised to that many power as denominator, and the considered number without any decimal point as numerator.

For example:

[tex]0.99 = \dfrac{99}{10^2} = \dfrac{99}{100}[/tex]

(10 raised to power k = 1 followed by k zeroes)

Let we have to add two fractions as:

[tex]\dfrac{a_1}{b_1} + \dfrac{a_2}{b_2}[/tex]

Then we will find Lowest Common Multiple (LCM) of  [tex]b_1[/tex] and [tex]b_2[/tex]. That will help to make the denominators same.

Once the denominators become same, the numerators can add up directly, giving us the final result of addition.

For this case, we can see from the image that:

Weight shown = 3 pounds + half more pound + half of 1/10 pound more approx. (as the weight hand is approx between 5 and 6 minor ticks after the big 3 pound mark). In each minor mark, one pound is divided in 10 parts, so each minor tick adds up 1/10 of a pound. Half of 1/10 shows that after 5, the hand is not exactly on 6 but sort of in between them, so approximately half.

Thus, weight shown ≈ 3 + 0.5 (half is written 0.5 too) + 1/10 of 0.5 pounds

= 3 + 0.5 + 0.5/10 = 3.5 + 0.05 = 3.55 pounds

Thus, the weight is approx 3.55 pounds.

Converting it to fraction, we get:

[tex]3.55 = \dfrac{355}{100} = \dfrac{5 \times 71}{5 \times 20} = \dfrac{71}{20}[/tex] pounds.

Thus, the correct weight to the nearest 1/8 pound from the considered image is 3.55 pounds. In reduced fraction form, it is 71/20 pounds approx.

Learn more about fraction addition here:

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Answer:

G'day. Here is your answer!

Step-by-step explanation:

3 6/16m= 3/38.

2 to 3: lb subintervals:

so each scale: 1/16 lb

Now we observe the pointer. 6 scales after 3 lb = 3 6/16 = 3 3/8 lb.

Step-by-step explanation:

Direction: Opens down

Focus: ( 0,-0.1)

Axis of Symmerty: X=0

Directix: y=0.1

Type [tex]y=-2.5xx^{2}[/tex]  on a algebra calcator and it will show you the graph and the eqaution.

Hope this helps!