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3 years ago

Evaluate. 16 • 3 + [(17 – 3) ÷ 2] – 43

1 answer:

7 0

To evaluate, we need to follow the order of operations. Below are the steps taken in order:

16 * 3 + [(17 - 3) / 2] - 43
16 * 3 + [14 / 2] - 43
16 * 3 + 7 - 43
48 + 7 - 43
55 - 43
12

Therefore the answer is 12.

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Nathan rolls a number cube and records the result of each roll in the table.

Sergeeva-Olga [200]

Answer:

True statements:

A. The relative frequency of rolling 4 is $\dfrac{2}{9}.$

E. The experimental probability of rolling 1 is less than the experimental probability of rolling 6.

Step-by-step explanation:

Nathan made 11 + 16 + 14 + 20 + 12 + 17 = 90 rolls altogether. Consider all options:

A. The relative frequency of rolling 4 is

$\dfrac{20}{90}=\dfrac{2}{9}.$

This option is true.

B. The experimental probability of rolling 3 is $\dfrac{14}{90}.$ The theoretical probability of rolling 3 is $\dfrac{1}{6}=\dfrac{15}{90}.$ therefore, the experimental probability of rolling 3 is less than the theoretical probability. This option is false.

C. The experimental probability of rolling 2 is $\dfrac{16}{90}$ and the theoretical probability of rolling 2 is $\dfrac{1}{6}=\dfrac{15}{90}.$ The experimental probability of rolling 2 is smaller than the theoretical probability of rolling 2. Option C is false.

D. The relative frequency of rolling 5 is $\dfrac{12}{90}=\dfrac{2}{15}\neq \dfrac{2}{13}.$ This option is false.

E. The experimental probability of rolling 1 is $\dfrac{11}{90}$ and the experimental probability of rolling 6 is $\dfrac{17}{90}.$ Since $\dfrac{11}{90}$ then the experimental probability of rolling 1 is less than the experimental probability of rolling 6. This option is true.

F. The theoretical probability of rolling 1 is the same as the theoretical probability of rolling 6. This option is false.

8 0

3 years ago

Read 2 more answers

Area for the shape? Please help!

liberstina [14]

Answer:

37.68 units^2

Step-by-step explanation:

Area of whole circle: 50.24 units^2

Area of 1/4 of it: 50.24/4=12.56

50.24-12.56=Area of remaining

Area of remaining=37.68 units^2

5 0

3 years ago

I WILL MARK YOU AS BRAINLIEST!PLEASE HELP ME WITH 19

Alex787 [66]

Answer:

x is 7.5 so the answer is D

Step-by-step explanation:

Since the triangles are similar, you can flip the 1st one to match the 2nd.

Now you can write

16/12=10/x

(the 9 is irrelevant)

now cross multiply to solve for x

12x10=120

120/16=7.5

x is 7.5

3 0

3 years ago

Cuáles de los siguientes experimentos son aleatorios. a) Número de personas que suben a un autobús en una parada. b) Aplicar el

ivanzaharov [21]

Answer:

<h2>a) Número de personas que suben a un autobús en una parada.</h2><h2>c) Conocer el ganador de la Liga de Campeones.</h2>

Step-by-step explanation:

This problem is about random experiments.

Random experiments are defined as experiments where the outcome can't be predicted. To ensure that result, the subjects are selected randomly. So, in this case, the right answer must be a situation where subjects are randomly present.

People taking the bus is a random experiment, because there's no the exact subjects in a bus at any time, it happens randomly.

Also, the winner of a sport league is also a random experiment, because it happens after several games which cannot be predicted.

Therefore, the right answers are a and c.

5 0

4 years ago

Which of the following reasons can be used to justify statement #4 in the proof?

8_murik_8 [283]

Answer:

SSS postulate because three sides of a triangle are are congruent

7 0

3 years ago

Read 2 more answers