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djyliett [7]
3 years ago
15

Suppose that Dr. Vergara makes a free throw with probability 0.8 and, independently, Dr. Agor makes a free throw with probabilit

y 0.4. They each attempt one free throw. (a) Given that only one of them made a free throw, what is the probability that Dr. Agor made his free throw
Mathematics
2 answers:
Amiraneli [1.4K]3 years ago
7 0

Answer:

40%

Step-by-step explanation:

adelina 88 [10]3 years ago
5 0

Answer:

The probability that Dr. Agor made his free throw is 40%.

Step-by-step explanation:

Given the fact that Dr. Agor usually converts his free throws with a probability of 0.4, to determine the percentage of probability that he will convert his free throw, the following calculation has to be performed:

0.4 x 100 x 1 = X

40 x 1 = X

40 = X

Therefore, Dr. Agor has a 40% chance of making his free throw.

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Which composition of transformations will create a pair of similar
Romashka [77]

Answer:

A rotation, then a dilation

Step-by-step explanation:

When two triangles are congruent, the three sides and angles will be the same.

A dilation is a type of transformation that works with scale factors and enlarges or reduces a figure, to create a new figure.

Now, the composition of transformations that will create a pair of similar but not congruent triangles are - a rotation, then a dilation.

8 0
3 years ago
What is the value of |-6|-|6| -(-6)
bixtya [17]

Answer:

6

Step-by-step explanation:

Solve the absolutes: |-6| becomes 6

and |6| doesn't change and still is 6

Substitute: 6-6-(-6)

- * - = +

6-6+6 = 6

7 0
3 years ago
Can someone help with this one?
Vedmedyk [2.9K]

Answer:

(a) 0.05 minutes per calorie burned

(b) Slope = 20

Step-by-step explanation:

(a) If 200 calories are burned in 10 minutes...then what about 1 calorie

; 1/200 × 10 = 0.05 minutes

(b) Slope of the graph...;just take any two points on the graph...which are (10;200) and (20;400)

Slope = (400 - 200) ÷ (20 - 10)

;Slope = 200 ÷ 10

;Slope = 20

7 0
3 years ago
Factor the expression.<br> = 28x– 14
Veseljchak [2.6K]

Answer:

14(2×-1) is the factorization of this expression

5 0
3 years ago
4x^2 y+8xy'+y=x, y(1)= 9, y'(1)=25
jarptica [38.1K]

Answer with explanation:

\rightarrow 4x^2y+8x y'+y=x\\\\\rightarrow 8xy'+y(1+4x^2)=x\\\\\rightarrow y'+y\times\frac{1+4x^2}{8x}=\frac{1}{8}

--------------------------------------------------------Dividing both sides by 8 x

This Integration is of the form ⇒y'+p y=q,which is Linear differential equation.

Integrating Factor

 =e^{\int \frac{1+4x^2}{8x} dx}\\\\e^{\log x^{\frac{1}{8}+\frac{x^2}{2}}\\\\=x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}

Multiplying both sides by Integrating Factor  

x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}\times [y'+y\times\frac{1+4x^2}{8x}]=\frac{1}{8}\times x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}\\\\ \text{Integrating both sides}\\\\y\times x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}=\frac{1}{8}\int {x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}} \, dx \\\\8y\times x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}=\int {x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}} \, dx\\\\8y\times x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}=-[x^{\frac{9}{8}}]\times\frac{ \Gamma(0.5625, -x^2)}{(-x^2)^{\frac{9}{16}}}\\\\8y\times x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}=(-1)^{\frac{-1}{8}}[ \Gamma(0.5625, -x^2)]+C-----(1)

When , x=1, gives , y=9.

Evaluate the value of C and substitute in the equation 1.

6 0
3 years ago
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