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mixas84 [53]
2 years ago
10

there are 96 carrots in a bag. the carrots are shared among three children in the ratio 4:5:7. find the smallest share

Mathematics
1 answer:
mars1129 [50]2 years ago
8 0
Lets make it
4x+5x+7x=96
so we can tell the smallest share is 4x
then we 16x=96
96 divided by 16, we get x=6
so the smallest share is 4x6=24
hope it can help
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A survey conducted five years ago by the health center at a university showed that 18% of the students smoked at the time. This
podryga [215]

Answer:

test statistic (Z) is 2.5767 and p-value of the test is .009975

Step-by-step explanation:

H_{0}: percentage of students who smoke did not change

H_{a}: percentage of students who smoke has changed

z-statistic for the sample proportion can be calculated as follows:

z=\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } } where

  • p(s) is the sample proportion of smoking students (\frac{50}{200} =0.25)
  • p is the proportion of smoking students in the survey conducted five years ago (18% or 0.18)
  • N is the sample size (200)

Then, z=\frac{0.25-0.18}{\sqrt{\frac{0.18*0.82}{200} } } ≈ 2.5767

What is being surveyed is if the percentage of students who smoke has changed over the last five years, therefore we need to seek two tailed p-value, which is .009975.

This p value is significant at 99% confidence level. Since .009975 <α/2=0.005, there is significant evidence that the percentage of students who smoke has changed over the last five years

5 0
2 years ago
A ----------------------- chart would best describe the steps in the processing of a product.
BlackZzzverrR [31]
A:  a flow chart would best describe the steps 


4 0
2 years ago
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If a certain number of Grade IV students share 28 or 39 skill books in Mathematics,there are remainders of 4 and 3 books. What i
nadya68 [22]

Answer:

  • 12 students

Step-by-step explanation:

<u>Below numbers are divisible by the number of students:</u>

  • 28 - 4 = 24
  • 39 - 3 = 36

<u>Lets find GCF of 24 and 36:</u>

  • 24 = 2*2*2*3
  • 36 = 2*2*3*3
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The largest possible number of students is 12

7 0
1 year ago
"Nathan takes 42 minutes to thread a distance of 4.5 miles on a threadmill. Determine the average distance covered in one minute
Viefleur [7K]

Solution:

we are given that

Nathan takes 42 minutes to thread a distance of 4.5 miles on a threadmill.

we have been asked to find the average distance covered in one minute.

Using the  concept of unity we can write

Since Nathan takes 42 minutes to cover a distance of 4.5 miles.

So in 1 minute Nathan will cover a distance of =\frac{4.5}{42} =1.07142miles

Hence avearge distance covered in one minute is 1.1 miles.

5 0
2 years ago
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Heidi solved the equation 3(x + 4) + 2 = 2 + 5(x – 4). Her steps are below: 3x + 12 + 2 = 2 + 5x – 20 3x + 14 = 5x – 18 14 = 2x
saveliy_v [14]

step 1: distributive property.

step 2: combine like terms.

step 3: subtraction property of equality.

step 4: addition property of equality.

step 5: division property of equality.  

hope this helps.

3 0
2 years ago
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