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Sholpan [36]
3 years ago
12

a class has 14 students, 8 students are females, and 6 students are males. how many teams of 7 students contain at most 4 female

s
Mathematics
1 answer:
arlik [135]3 years ago
8 0

Answer:

2416

Step-by-step explanation:

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Help me plz this is to much
mr Goodwill [35]

9514 1404 393

Answer:

  • 1 triangle: 2 m²
  • 2 triangles: 4 m²
  • large rectangle: 32 m²
  • small rectangle: 3 m²
  • total area: 39 m²
  • cost of tile: $487.50

Step-by-step explanation:

You will run across many examples of poorly edited curriculum materials. This is one of them. We presume that every instance of "inches" should be an instance of "meters". The difference between in and m is not always obvious in a diagram, and m apparently got misinterpreted here.

__

The area of a triangle is given by the formula ...

  A = 1/2bh

where b is the base and h is the height perpendicular to the base.

The triangles in this figure have a base of 4 m, and a height of 1 m. Using this formula, we find the area of 1 triangle to be ...

  A = 1/2(4 m)(1 m) = 2 square meters . . . . area of 1 triangle

__

The triangles are the same size, so the area of both together is ...

  2(2 m²) = 4 square meters . . . . area of both triangles together

__

The large rectangle is 8 m long and 4 m high. Its area is given by the formula ...

  A = LW

where the length is L and the width is W. Using this formula, we find the area of the large rectangle to be ...

  A = (8 m)(4 m) = 32 m² . . . . area of large rectangle

__

The small rectangle has a length of 3 m and a width of 1 m. Its area is ...

  A = (3 m)(1 m) = 3 m² . . . . area of small rectangle

__

The total area is the sum of the areas of the pieces:

  total area = 2 triangles + large rectangle + small rectangle

  total area = 4 m² + 32 m² + 3 m² = 39 square meters

_____

At $12.50 per square meter, the cost of covering the patio is ...

  ($12.50/m²)(39 m²) = $487.50 . . . . cost of tile

5 0
3 years ago
Combine like terms to simplify the expression:<br> -4 + 7 − 2x + 10x = ______
exis [7]

Answer:

3 + 8x

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
◆ Quadratic Equations ◆<br>Please help !
Mila [183]
I'm sure there's an easier way of solving it than the way I did, but I'm not sure what it could be. Never dealt with a problem like this before.

Anyway, I just plugged in and tested. Chose random values for a, b, c, and d, which follow the rule 0 < a < b < c < d:

a = 1
b = 2
c = 3
d = 4

\sf ax^2+(1-a(b+c))x+abc-d)

\sf 1x^2+(1-1(2+3))x+(1)(2)(3)-(4))

Simplify into standard form:

\sf x^2+(1-1(5))x+6-4

\sf x^2+(1-5)x+2

\sf x^2-4x+2

Use the quadratic formula to solve:

\sf x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

For functions in the form of \sf ax^2+bx+c. So in this case:

a = 1
b = -4
c = 2

Plug them in:

\sf x=\dfrac{4\pm\sqrt{(-4)^2-4(1)(2)}}{2(1)}

Solve for 'x':

\sf x=\dfrac{4\pm\sqrt{16-8}}{2}

\sf x=\dfrac{4\pm\sqrt{8}}{2}

\sf x\approx\dfrac{4\pm 2.83}{2}

\sf x\approx 0.59,3.41

So the answer would be A.
3 0
4 years ago
A cheese processing company wants to estimate the mean cholesterol content of all one-ounce servings of a type of cheese. The es
Mrrafil [7]

Answer:

The minimum sample size required to construct a 95% confidence interval for the population mean is 65.

Step-by-step explanation:

We are given the following in the question:

Population standard deviation,

\sigma = 3.10\text{ milligrams}

We need to construct a 95% confidence interval such that the estimate is within 0.75 milligrams of the population mean.

Thus, the margin of error must me 0.75

Formula for margin of error:

z_{critical}\times \dfrac{\sigma}{\sqrt{n}}

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting values, we get,

0.75 = 1.86\times \dfrac{3.10}{\sqrt{n}}\\\\\sqrt{n} = \dfrac{1.96\times 3.10}{0.75}\\\\\sqrt{n} = 8.101\\\Rightarrow n = 65.63\approx 65

Thus, the minimum sample size required to construct a 95% confidence interval for the population mean is 65.

5 0
3 years ago
Find each sum or difference? Do u just work the problem out and put the answer down?
nikitadnepr [17]
I believe you work the problem out and put the answer down.
5 0
3 years ago
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