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marusya05 [52]
2 years ago
14

A rabbit weighs 2.8 kilograms. How many grams does the rabbit weigh? Use the number of zeros of the product when multiplying a n

umber by
power of 10 to help you. (1 point)
2,800 grams
28 grams
28,000 grams
280 grams
Mathematics
1 answer:
Nana76 [90]2 years ago
5 0

Answer:

Option A

Step-by-step explanation:

Given data

We are told that the weight of the rabbit is 2.8 kilograms

We also want to convert from kilograms to grams

We  know that 1kg= 1000 grams

            Hence 2.8 kg= x gram

Cross multiply

x= 2.8*1000

x= 2800 grams

Hence the weight in grams is 2800grams

Option A is correct

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In studies for a​ medication, 3 percent of patients gained weight as a side effect. Suppose 643 patients are randomly selected.
timofeeve [1]

Part a)

It was given that 3% of patients gained weight as a side effect.

This means

p = 0.03

q = 1 - 0.03 = 0.97

The mean is

\mu  = np

\mu = 643 \times 0.03 = 19.29

The standard deviation is

\sigma =  \sqrt{npq}

\sigma =  \sqrt{643 \times 0.03 \times 0.97}

\sigma =4.33

We want to find the probability that exactly 24 patients will gain weight as side effect.

P(X=24)

We apply the Continuity Correction Factor(CCF)

P(24-0.5<X<24+0.5)=P(23.5<X<24.5)

We convert to z-scores.

P(23.5 \: < \: X \: < \: 24.5) = P( \frac{23.5 - 19.29}{4.33} \: < \: z \: < \:  \frac{24.5 - 19.29}{4.33} ) \\  = P( 0.97\: < \: z \: < \:  1.20) \\  = 0.051

Part b) We want to find the probability that 24 or fewer patients will gain weight as a side effect.

P(X≤24)

We apply the continuity correction factor to get;

P(X<24+0.5)=P(X<24.5)

We convert to z-scores to get:

P(X \: < \: 24.5) = P(z \: < \:  \frac{24.5 - 19.29}{4.33} )  \\ =   P(z \: < \: 1.20)  \\  = 0.8849

Part c)

We want to find the probability that

11 or more patients will gain weight as a side effect.

P(X≥11)

Apply correction factor to get:

P(X>11-0.5)=P(X>10.5)

We convert to z-scores:

P(X \: > \: 10.5) = P(z \: > \:  \frac{10.5 - 19.29}{4.33} )  \\ = P(z \: > \:  - 2.03)

= 0.9788

Part d)

We want to find the probability that:

between 24 and 28, inclusive, will gain weight as a side effect.

P(24≤X≤28)=

P(23.5≤X≤28.5)

Convert to z-scores:

P(23.5  \:  <  \: X \:  <  \: 28.5) = P( \frac{23.5 - 19.29}{4.33}   \:  <  \: z \:  <  \:  \frac{28.5 - 19.29}{4.33} ) \\  = P( 0.97\:  <  \: z \:  <  \: 2.13) \\  = 0.1494

3 0
3 years ago
Find the interest accumulated from $100 dollars, with a 5% interest rate per month, for 2 months.
Sergio039 [100]
I believe you get 10 dollars in interest.
6 0
3 years ago
Read 2 more answers
How do you write 20% as a decimal
77julia77 [94]

Answer:

0.2

Step-by-step explanation:

20/100=0.2


3 0
3 years ago
Read 2 more answers
I need help plz help me !!
elena-14-01-66 [18.8K]

Answer:

110

Step-by-step explanation:

y = 11/6x where x is in minutes

there are 60 minutes in an hour

plug in 60 as x

11/6 *60 = 11*10 = 110

6 0
3 years ago
Read 2 more answers
Help???????????????????????????
7nadin3 [17]
Is the answer 7632? ithink i got it wrong ill check my answer
3 0
3 years ago
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