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Maru [420]
3 years ago
10

Malik and Erin run the corn harvester for Mr. Avery. Malik and Erin harvest about 2 1/3 acres' worth of corn each day. They only

have 10 1/22 days to harvest the corn. How many acres' worth of corn can they harvest for Mr. Avery?
Mathematics
1 answer:
DaniilM [7]3 years ago
8 0

Answer:

23 29/66

Step-by-step explanation:

If Malik and Erin harvest about 2 1/3 acres' worth of corn each day and they have 10 1/22 days to harvest the field, the total acres that can be harvested would be the product of 2 1/3 and 10 1/22

2\frac{1}{3} x 10\frac{1}{22}

Convert the mixed fractions to an improper fraction

\frac{7}{3} x \frac{221}{22} = \frac{1547}{66}

Convert the improper fraction back to mixed fraction To do this, divide the numerator by the denominator, the number got would be the whole number of the mixed fraction. The remainder would be the numerator

23\frac{29}{66}

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In 1990, 1000 adults were randomly selected and each was asked if they smoked, 300
Oduvanchick [21]

Answer:

 The proportion of smokers was higher in 1990 than in 2000

Step-by-step explanation:

Solution

Recall that,

The total number of sample 1 (n1) = 1000

Total  sample 2 number  (n2) = 2000

The number of favourable events (X1) = 300

The number of favourable events (X2) = 500

so,

p₁ = X₁/n₁ = 300/1000 = 0.3

p₂ = X₂/n₂ =500/2000 =0.25

α = 0.05

We are interested in testing the hypothesis.

The  hypothesis (Null) ....>  H₀ : p₁ = p₂

Alternate hypothesis------ > H₁ : p₁ > p₂

Thus,

P = X₁ + X₂/ n₁ + n₂

P =300 + 500/1000 +2000

P =800/3000

=0.2667

Now,

Z₀ = P₁ - P₂/√ P (1 -P) (1/n₁ + 1/n₂)

Z₀ =  0.3 - 0.25/√0.2667  (1 - 0.2667) (1/1000 + 1/2000)

Z₀ = 0.4999999999999999/√ 0.2667 (0.7333000000000001) (0.001 +0.0005)

Then,

Z₀ = 0.4999999999999999/√0.00029335666500000004

Z₀ = 2.9193

so,

zα/2 = z0.05/2 =z0.025

zα/2 = 1.6448536269514722

Now, we apply the decision rule:

Decision Rule: Reject the null hypothesis if the statistic value test is higher than the critical value 1.6448536269514722

The statistic value, 2.9193 is greater than the critical value 1.6448536269514722,  then we will reject the null hypothesis.

Therefore, the proportion of smokers was higher in 1990 than in 2000

3 0
3 years ago
Which rules has a scale factor of 5 and shifted up and to the left?
serious [3.7K]

Answer:

185 37 = 5 1; the scale factor is 5: 1. So every other linear measure is multiplied times 5. If we have the big right triangle and want to scale it down to make the smaller one, we write this: 37 185 = 1 5

Step-by-step explanation:

4 0
3 years ago
A company buys a sweater for $14 and marks it up 90%. It later discounts the sweater 25%.
Goryan [66]

Answer:

$12.6 after marking it up by 90%

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find the value of :​
beks73 [17]

Answer:

i) 66

ii) 536

Step-by-step explanation:

Check attachement(s) for solution.

  • Attachment - 1: Solution (i)
  • Attachment - 2: Solution (ii)

7 0
2 years ago
Simplify the following algebraic expression:<br> 4+3 [6z - 5(6 +2z)]
Tatiana [17]

\huge\text{Hey there!}

\huge\text{4+3 [6z - 5(6 +2z)]}

\huge\text{4+(3)(6z)+(3)(-5(6+2z))}\\\\\rightarrow\huge\text{4+18z+(-30z)+(-90)}

\huge\text{\bf{Combine the like terms if you have any.}}

\huge\text{Like term \#1: 10z \& -30z}\\\\\\\huge\text{Like term \#2: 4 \& -90}

\huge\text{18z + (-30z) + (4 + (-90))}

\huge\text{18z + (-30z) = -12z}\\\\\\\huge\text{4 + (-90) = -86}

\boxed{\boxed{\huge\text{Answer: -12z + (-86)}}}\huge\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{LoveYourselfFirst:)}

5 0
3 years ago
Read 2 more answers
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