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Ahat [919]
2 years ago
6

an apple Orchard sells apples in bags of 10. the orchard sold a total of 2,430 apples one day. how many bags of apples was this

?
Mathematics
2 answers:
ANEK [815]2 years ago
7 0
243. A division problem
Alborosie2 years ago
3 0
Ok

applessold=applesperbag times bagssold
applessold=2430
applesperbag=10
bagssold=b

2430=10b
divide both sides by 10
243=b
243 bags were sold

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What are the solutions of the equation (x – 3)2 + 2(x – 3) -8 = 0? Use u substitution to solve.
Andrej [43]

Answer:

x = -1 and x = 5

Step-by-step explanation:

<em>What are the solutions of the equation (x – 3)² + 2(x – 3) -8 = 0? Use u substitution to solve.</em>

<em />

(x – 3)² + 2(x – 3) -8 = 0   -------------------------------------------------------(1)

To solve this problem, we will follow the steps below;

let u = x-3

we will replace x-3 by u in the given equation:

(x – 3)² + 2(x – 3) -8 = 0  

u² + 2u -8 = 0  ----------------------------------------------------------- --------------(2)

We will now solve the above quadratic equation

find two numbers such that its product gives -8 and its sum gives 2

The two numbers are 4 and -2

That is; 4×-2 = -8    and 4+(-2) = 2

we will replace 2u by (4u -2u)  in equation (2)

u² + 2u -8 = 0

u² + 4u - 2u -8 = 0

u(u+4) -2(u+4) = 0

(u+4)(u-2) = 0

Either  u + 4 = 0

            u = -4

or

u-2 = 0

u = 2

Either u = -4    or u = 2

But  u = x-3

x = u +3

when u = -4

x = u + 3

x = -4 + 3

x=-1

when u = 2

x = u + 3

x = 2 + 3

x=5

Therefore, x = -1  and  x =5

x

6 0
2 years ago
The following histogram represents the distribution of acceptance rates (percent accepted) among 25 business schools in 2004. In
Mila [183]

Answer:

  • <u><em>Option b. just below 30%</em></u>

<u><em></em></u>

Explanation:

Please, see attached the <em>histogram that represents the distribution of acceptance rates (percent accepted) among 25 business schools in 2004. </em>

<em />

The<em> median</em> is the value that separates the lower 50% from the upper 50% of the data.

Since there are 25 business schools, the middle value is the number 13.

The height of each bar is the<em> frequency</em> or number of business school for that acceptace rate:

  • The first bar has frequency of 1 school
  • The second bar has frequency of 3 schools: cummulative frequency: 1+3=4.
  • The third bar has frequency 5 schools: cummulative frequency 4 + 5 = 9.
  • The fourth bar has frequency 3 schools: cummulative frequency: 9+3=12.

Then, the 13th value is on the next bar, the fifth bar.

The fifth bar has acceptance rates 25  ≤ rate < 30.

That means that the median acceptance rate is greater than or equal to 25 and less than 30.

Thus, the choice is the option <em>b. just below 30%.</em>

3 0
2 years ago
To evaluate the effect of a treatment, a sample of n=8 is obtained from a population with a mean of μ=40 , and the treatment is
Westkost [7]

Answer:

Step-by-step explanation:

a)

Test statistic:

t=\frac{35-40}{\sqrt{\frac{32}{8} } }

t=-2.5

df=8-1=7

critical, t ,values=+/-2.365

here test statistic lie in rejection region,that why null hypothesis fails  

so Yes, its significant.

b)

Test statistic:

t=\frac{35-40}{\sqrt{\frac{72}{8} } }

t=-1.67

df=8-1=7

critical, t ,values=+/-2.365

c)

sample variability increases, therefore likelihood of rejecting the null hypothesis decreases.

5 0
2 years ago
At a local fitness center, members pay a $14 membership fee and $5 for each aerobics class. Nonmembers pay $6 for each aerobics
nata0808 [166]

Answer:

that would be $25 for each.

5 0
2 years ago
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The horsepower , H(s), required for a racecar to overcome wind resistance is given by the function : H(s) = 0.003s^2+0.07s-0.027
mote1985 [20]
Average rate of change = [H(100) - H(80)] / (100 - 80)
H(100) = 0.003(100)^2 + 0.07(100) - 0.027 = 0.003(10000) + 0.07(100) - 0.027 = 30 + 7 - 0.027 = 36.973

H(80) = 0.003(80)^2 + 0.07(80) - 0.027 = 0.003(6400) + 0.07(80) - 0.027 = 19.2 + 5.6 - 0.027 = 24.773

Average rate of change = (36.973 - 24.773)/(100 - 80) = 12.2/20 = 0.61

Answer: B
8 0
2 years ago
Read 2 more answers
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