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STALIN [3.7K]
3 years ago
13

Please help thank you!

Mathematics
1 answer:
ser-zykov [4K]3 years ago
3 0

Answer:

a) 91.4%

b) 37.6%

c) 26.8%

Step-by-step explanation:

For each of these, we'll get a z-score, then use our calculators to find the area using normalcdf (on TI-84, 2nd->VARS->2)

a)  z = (9-6.4) / 1.9 = 1.368

    normalcdf(-999,1.368) = .914 = 91.4%

b) z = (7-6.4) / 1.9 = .316

   normalcdf(.316,999) = .376 = 37.6%

c) normalcdf(.316,1.368) = .268 = 26.8%

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mariarad [96]
-3x^2+12y^2=84
12y^2=3x^2+84
y^2=\dfrac{x^2}4+7
y=\pm\sqrt{\dfrac{x^2}4+7}

For either square root to exist, you require that \dfrac{x^2}4+7\ge0. This is true for all x, since \dfrac{x^2}4 is always non-negative. This means the domain of y as a function of x is all real numbers, or x\in\mathbb R or (-\infty,infty).

Now, because \dfrac{x^2}4+7 is non-negative, and the smallest value it can take on is 7, it follows that the minimum value for the positive square root must be \sqrt7, while the maximum value of the negative root must be -\sqrt7. This means the range is y\in\mathbb R\setminus(-\sqrt7,\sqrt7), or |y|\ge\sqrt7, or (-\infty,-\sqrt7]\cup[\sqrt7,\infty).
6 0
4 years ago
the radius of the inner white circle of the doughnut is 2cm. The circumference of the outer edge of the doughnut is 43.96cm. Wha
Elenna [48]

Answer:

141.4 sq cm

Step-by-step explanation:

to find the area of the outer circle with a smaller circle inscribed within, you find the area of each and subtract the smaller area from the larger

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we have to find the radius of the larger circle so we use what we know about its circumference:

C = 2πr

43.96 = 2πr

21.98 = πr

21.98 / π = r

r ≈ 7 cm

now use r = 7 to find area of larger circle:

A = πr²

A = π49

Area of smaller circle:  4π

Area of larger circle without including inner section is 49π - 4π = 45π

45π ≈ 141.4 sq cm

7 0
3 years ago
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The total money is $2,178
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4 years ago
Someone help please !!!
kari74 [83]

Answer:

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3 years ago
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Galina-37 [17]

Answer:

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Step-by-step explanation:

Table

Books per week Week

4 1

8 2

12 3

16 4

20 5

24 6

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