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sladkih [1.3K]
2 years ago
6

If a buyer purchases 25% of a lot in the spring and then purchases 50% more later in the fall, what percentage of the lot is sti

ll available for purchase?
Mathematics
1 answer:
blsea [12.9K]2 years ago
4 0
Let
T--------> the total of the lot

we know that
a buyer purchase=0.25T+0.50T------> 0.75T

<span> lot still available for purchase=T-[0.75T]-----> 0.25T
T----------> 100%
0.25T----> x
x=0.25T*100/T------> x=25%

the answer is
25%</span>
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Which statement is true about the polynomial 3j4k−2jk3+jk3−2j4k+jk3 after it has been fully simplified? in terms and degree
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I just had this test and got it right, the answer is 1 term with a degree of 5. Option 4

7 0
1 year ago
How do you write 4540 million in standard form?
vovangra [49]
For this case what we should do is take into account the following conversion:
 million = 10 ^ 6&#10;
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 4540 million&#10;
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4540 million in standard form is:
 
4,540,000,000
8 0
2 years ago
Read 2 more answers
At an intersection, the red-light times are normally distributed with a mean time of 3 minutes and a standard deviation of 0.25
denpristay [2]

Percent of red lights last between 2.5 and 3.5 minutes is 95.44% .

<u>Step-by-step explanation:</u>

Step 1: Sketch the curve.

The probability that 2.5<X<3.5 is equal to the blue area under the curve.

Step 2:

Since μ=3 and σ=0.25 we have:

P ( 2.5 < X < 3.5 ) =P ( 2.5−3 <  X−μ < 3.5−3 )

⇒ P ( (2.5−3)/0.25 < (X−μ)/σ < (3.5−3)/0.25)

Since, Z = (x−μ)/σ , (2.5−3)/0.25 = −2 and (3.5−3)/0.25 = 2 we have:

P ( 2.5<X<3.5 )=P ( −2<Z<2 )

Step 3: Use the standard normal table to conclude that:

P ( −2<Z<2 )=0.9544

Percent of red lights last between 2.5 and 3.5 minutes is 0.9544(100) = 95.44% .

3 0
2 years ago
△ABC is similar to △RST . In addition, m∠C=76° and m∠S=3(m∠A) . What is m∠A ? Enter your answer in the box.
Oksi-84 [34.3K]

Answer:

∠A = 26°

Explanation:

If two angles of a triangle have measures equal to the measures of two angles of another triangle, then the triangles are similar. In case of similar triangle, corresponding angles are congruent.

Angle ∠C = 76

So, ∠T = 76     because of corresponding angle.

Given that,

m∠S=3(m∠A)

We know that,

∠S ≅ ∠B

That means ∠B = 3 (∠A)

Sum of angles in a triangle  = 180°

∠A + ∠B + ∠C = 180°

∠A + 3∠A + 76° = 180°

4∠A = 180° - 76°

4∠A = 104°

∠A = \frac{104}{4}

∠A = 26°

Final answer.


8 0
2 years ago
Read 2 more answers
A portfolio has average return of 13.2 percent and standard deviation of returns of 18.9 percent. Assuming that the portfolioi's
wlad13 [49]

Answer:

B. 0.835

Step-by-step explanation:

We can use the z-scores and the standard normal distribution to calculate this probability.

We have a normal distribution for the portfolio return, with mean 13.2 and standard deviation 18.9.

We have to calculate the probability that the portfolio's return in any given year is between -43.5 and 32.1.

Then, the z-scores for X=-43.5 and 32.1 are:

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Then, the probability that the portfolio's return in any given year is between -43.5 and 32.1 is:

P(-43.5

6 0
2 years ago
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