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3 years ago

Alicia has 32 stickers. This is 4 times as many stickers as Benita has. How many stickers does Benita have?

1 answer:

8 0

Let's name the number of stickers Alicia has "a" and Benita as "b".

Then: a=32

a=4*b

We know this from the information above. Now we put it together:

32=4*b

we divide both sides by 4:

8=b

Benita has 8 stickers.

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In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal dist

Tcecarenko [31]

Answer:

a. 0.7291

b. 0.9968

c. 0.7259

Step-by-step explanation:

a. np and n(1-p) can be calculated as:

$np=23\times 0.48\\\\=11.04\\\\n(1-p)=23(1-0.52)\\\\=11.96$

#Both np and np(1-p) are greater than 5, hence, normal approximation is most appropriate:

$\mu_x=11.04\\\\\sigma^2=np(1-p)=0.48\times 0.52\times 23=5.7408$

#Define Y:

Y~(11.04,5.7408)

$P(X\leq 12)\approx P(Y\leq 12.5)\\\\P(Z\leq \frac{(12.5-11.04)}{\sqrt{5.7408}})=\\\\=1-0.2709\\\\=0.7291$

Hence, the probability of 12 or fewer is 0.8291

b. The probability that 5 or more fish were caught.

#Using normal approximation:

$P(X \geq 5) \approx P(Y \geq 4.5) = P(Z \geq\frac{ (4.5-11.04)}{\sqrt{(5.7408)}})\\\\=1-0.0032\\\\=0.9968$

Hence, the probability of catching 5+ is 0.9968

c. The probability of between 5 and 12 is calculated as;

-From b above $P(X\geq 5)=0.9968$ and a , $P(X\leq 12)$ =0.7291

$P(5\leq X\leq 120\approx P(4.5\leq Y\leq 12.5)\\\\=0.7291-(1-0.9968)\\\\=0.7259$

Hence, the probability of between 5 and 12 is 0.7259

4 0

3 years ago

The diameter of a small gear is 16 cm.This is 2.5 cm more than 1/4 of the diameter of a larger gear.What is the diameter of the

bagirrra123 [75]

Diameter of the larger gear х см
1/4х = 16 - 2.5
1/4x = 13.5
x = 13.5 * 4
x = 54 cm - diameter of the larger gear /

6 0

3 years ago

Identify the independent and dependent quantity in each situation. The cost of a long distance telephone call increases with the

blsea [12.9K]

Minutes is independent and the cost is dependent

time is mostly always independent and cost is depending on the amount of time

8 0

3 years ago

0.002 is one tenth of

Hoochie [10]

.002 is $\frac{1}{10}$ of .02

Hope this helps!=)

8 0

3 years ago

What would this be? I know its not 72.

nikdorinn [45]

Answer:

324 units

Step-by-step explanation:

First find the measurements of the square.

24 ÷ 4 = 6

Each side of the square is 6 units.

Now scale by 3

6 × 3 = 18

Each side of the square is now 18 units

Find the area:

18 × 18 = 324

7 0

3 years ago