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hodyreva [135]
3 years ago
12

Ayden had a goal of finishing painting at least 80%80\% 80% 80, percent of the 500500 500 500 square meters of a house's walls b

y today. He actually finished painting 415415 415 415 square meters today. Did Ayden meet his goal? Why?
Mathematics
1 answer:
ANEK [815]3 years ago
3 0

Answer:

<u>Yes</u>, Ayden meet his goal.

Step-by-step explanation:

Given:

Total square meters of house's wall Ayden had to paint = 500 square meters.

The percent of goal Ayden had for painting the wall = 80%.

The square meters of wall Ayden finished painting = 415 square meters.

Now, to find whether Ayden meet his goal.

So, to get the square meters of wall Ayden had the goal:

80\%\ of\ 500\\\\=\frac{80}{100}\times 500\\\\=0.80\times 500\\\\=400\ square\ meters.

<u><em>Thus, the goal Ayden had was to paint 400 square meters of wall.</em></u>

<u><em>And, he actually finished 415 square meters of wall.</em></u>

<u><em>So, the square meters of wall Ayden had finished painting is more than his goal to achieve.</em></u>

<u><em>Hence, Ayden meet his goal.</em></u>

Therefore, yes, Ayden meet his goal.

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emmasim [6.3K]
K = 94, 95, and 96

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95 - 7 = 88
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3 years ago
Stanley is also considering buying a house in Cape Cod. Cape Cod is much smaller than the Jersey Shore with only 15 towns that c
bonufazy [111]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

P_1 =  0.1333 , P_2 =  0.266, tex]P_3 =  0.200[/tex],  P_4 =  0.333 ,   P_5 =  0.067

b

The location with most risk for flood is the location with 5 towns

Step-by-step explanation:

From the question we are told that

The total number of town is n = 15

Generally the missing number of town is mathematically evaluated as

k = 15 - [2 + 4 + 5 + 1 ]

=> k = 3

Generally the probability distribution for frequency is mathematically represented as

P =  \frac{A}{B}

Here  A is the number of town having these losses (i.e each row under the number of towns having the losses column)

        B is the total number of  towns

Considering column one

          P_1 =  \frac{2}{15}

           P_1 =  0.1333

Considering column two

          P_2 =  \frac{4}{15}

           P_2 =  0.266

Considering column three

          P_3 =  \frac{3}{15}

           P_3 =  0.200

Considering column four

          P_4 =  \frac{5}{15}

           P_4 =  0.333

Considering column five

          P_5 =  \frac{1}{15}

           P_5 =  0.067

Looking at the table we see that the region with  5  towns receive 3 floods per town and this region of 5 towns has a higher probability distribution for frequency compared to the other region. hence the location with most risk for flood is the location with 5 towns

8 0
3 years ago
The graph of the function f(x) = −3x2 − 3x + 6 is shown. Which statements describe the graph? Check all that apply.
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Since the coefficient of x^2 is negative, which means that the parabola is facing down. Hence, the vertex is maximum value.
f(-1) = -3(-1)^2 - 3(-1) + 6 = -3(1) - (-3) + 6 = -3 + 3 + 6 = 6
f(-0.5) = -3(-0.5)^2 - 3(-0.5) + 6 = -3(0.25) - (-1.5) + 6 = -0.75 + 1.5 + 6 = 6.75
f(0) = -3(0)^2 - 3(0) + 6 = 0 + 0 + 6 = 6
From the above, the graph stopped increasing at x = -0.5 and started decreasing. Hence, the axis of symmetry is x = -1/2
The domain of all quadatic expression is all real numbers because there is no value of x for which f(x) does not exist.
The range is NOT all real numbers because for instance, there is no value of x for which f(x) = 7.
f(-2) = -3(-2)^2 - 3(-2) + 6 = -3(4) - (-6) + 6 = -12 + 6 + 6 = 0
f(1) = -3(1)^2 - 3(1) + 6 = -3(1) - 3 + 6 = -3 + 3 = 0
Hence, the x-intecepts are at (-2, 0) and (1, 0)
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Answer:

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