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son4ous [18]
3 years ago
13

Which type of triangle can be formed with sides measuring 8 inches 8 inches and 3inches

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
4 0
An isosceles triangle. This triangle has 2 sides that are equal.
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Sadie and Connor both play soccer. Connor scored 2 times as many goals as Sadie. Together they scored 9 goals. Could Sadie have
sleet_krkn [62]

Answer:

No.

Step-by-step explanation:

Sadie goals = s

that means

2s+ s = 9 (2s is Connor's goals. Twice Sadie's)

3s=9

s=3

Sadie scored 3 goals

4 0
2 years ago
At a certain coffee shop, all the customers buy a cup of coffee and some also buy a doughnut. The shop owner believes that the n
wolverine [178]

Answer:

(1) The probability that the shop owner sells over 2000 cups of coffee in a week is 0.2514.

(2) The shop owner has no reasonable chance to expect earning a profit more than $300.

(3) The probability that the shop owner will sell a doughnut to more than half of his coffee customers is 0.2611.

Step-by-step explanation:

Let <em>X</em> = number of cups of coffee sold and <em>Y</em> = number of donuts sold.

The random variable <em>X</em> follows a Normal distribution with parameters <em>μ</em> = 320 and <em>σ </em>= 20.

The random variable <em>Y</em> follows a Normal distribution with parameters <em>μ</em> = 150 and <em>σ </em>= 12.

The shop owner opens the shop 6 days a week.

(1)

Compute the probability that the shop owner sells over 2000 cups of coffee in a week as follows:

P(X>2000)=P(\frac{X-\mu}{\sigma}>\frac{2000-(6\times320)}{6\times20})\\=P(Z>0.67)\\=1-P(Z

Thus, the probability that the shop owner sells over 2000 cups of coffee in a week is 0.2514.

(2)

The equation representing the profit earned on selling 1 cup of coffee and 1 doughnut in a day is:

P = 0.5<em>X</em> + 0.4<em>Y</em>

Compute the probability that the shop owner earns more than $300 as profit as follows:

P(Profit>300)=P(\frac{Profit-\mu}{\sigma}>\frac{300-((0.5\times320)+(0.4\times150))}{\sqrt{0.5^{2}(20)^{2}+0.4^{2}(12)^{2}}})\\=P(Z>7.21)\\\approx0

The probability of earning a profit more then $300 is approximately 0.

Thus, the shop owner has no reasonable chance to expect earning a profit more than $300.

(3)

The expression representing the statement "he'll sell a doughnut to more than half of his coffee customers" is:

<em>Y</em> > 0.5<em>X</em>

<em>Y</em> - 0.5<em>X</em> > 0

Compute the probability of the event (<em>Y</em> - 0.5<em>X</em> > 0) as follows:

P(Y - 0.5X > 0)=P(\frac{(Y - 0.5X) -\mu}{\sigma}>\frac{0-(150-(0.5\times320}{\sqrt{12^{2}+0.5^{2}20^{2}}})\\=P(Z>0.64)\\=1-P(Z

Thus, the probability that the shop owner will sell a doughnut to more than half of his coffee customers is 0.2611.

8 0
3 years ago
if the reference angle was . what are the angle in the 4 quadrants. make sure to explain how you get the angles.
yKpoI14uk [10]

Answer:

  1. Step-by-step explanation:

31542

5 0
1 year ago
(3x^2a - 4y^a z^3a) ^2 ...?
shusha [124]
The answer is 9x⁴ᵃ - 24x²ᵃyᵃz³ᵃ + 16 y²ᵃz⁶ᵃ


(a - b)² = a² - 2ab + b²
(3x²ᵃ - 4yᵃz³ᵃ)² = (3x²ᵃ)² - 2 * 3x²ᵃ * 4yᵃz³ᵃ + (4yᵃz³ᵃ)² =
                         = 3²x²ᵃ*² - 2 * 3 * 4 x²ᵃ * yᵃz³ᵃ + 4²yᵃ*²z³ᵃ*² =
                         = 9x⁴ᵃ - 24x²ᵃyᵃz³ᵃ + 16 y²ᵃz⁶ᵃ
8 0
3 years ago
Name a coordinate point located in quadrant 4
sergiy2304 [10]
A point in quadrant 4 could be (-4,-2)<span />
3 0
3 years ago
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