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Alex787 [66]
3 years ago
15

I need help with d and I need to show my work.

Mathematics
1 answer:
cupoosta [38]3 years ago
7 0
Ok
So when you multiply by a fraction just multiply top by top and bottom by bottom
So top by top is 2 by 4 so 8
And bottom by bottom is 3 by 5 which is 15
So answer is 8/15
Hope this helps and don’t forget to mark as brainliest if you thought it was most helpful :)
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They are based on SSS. They have the middle side which they share and is equal. And those other two lines also make those sides equal, so all sides are equal and they’re congruent
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A triangular prism has a height of 9 meters and a triangular base with the following dimensions
nadya68 [22]

Answer:

b 432m

Step-by-step explanation:

A triangular prism has a height of 9 meters and a triangular base with the following dimensions

What is the volume of the prism?

Answers: 420m, 432m, 288m 324m

7 0
2 years ago
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What value is equivalent to 2 × 3 + 4 − 6^2?<br> A) -26<br> B) -22<br> C) -2<br> D) 10
Yuliya22 [10]

Answer:

-26

Step-by-step explanation:

2 × 3 + 4 − 6^2

PEMDAS

exponents are first in this equation

2 × 3 + 4 − 36

Then multiply

6 +4 -36

Then add and subtract from left to right

10-36

-26

3 0
3 years ago
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In October of 2012, Apple introduced a much smaller variant of the Apple iPad, known at the iPad Mini. Weighing less than 11 oun
sveticcg [70]

Answer:

a. f_X(x) = \dfrac{1}{3.5}8.5

b. the probability that the battery life for an iPad Mini will be 10 hours or less is 0.4286 which is about 42.86%

c.  the probability that the battery life for an iPad Mini will be at least 11 hours is 0.2857 which is about 28.57 %

d. the probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours is 0.5714 which is about 57.14%

e.  86 should have a battery life of at least 9 hours

Step-by-step explanation:

From the given information;

Let  X represent the continuous random variable with uniform distribution U (A, B) . Therefore the probability  density function can now be determined as :

f_X(x) = \dfrac{1}{B-A}A

where A and B  are the two parameters of the uniform distribution

From the question;

Assume that battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours

So; Let A = 8,5 and B = 12

Therefore; the mathematical expression for the probability density function of battery life is :

f_X(x) = \dfrac{1}{12-8.5}8.5

f_X(x) = \dfrac{1}{3.5}8.5

b. What is the probability that the battery life for an iPad Mini will be 10 hours or less (to 4 decimals)?

The  probability that the battery life for an iPad Mini will be 10 hours or less can be calculated as:

F(x) = P(X ≤x)

F(x) = \dfrac{x-A}{B-A}

F(10) = \dfrac{10-8.5}{12-8.5}

F(10) = 0.4286

the probability that the battery life for an iPad Mini will be 10 hours or less is 0.4286 which is about 42.86%

c. What is the probability that the battery life for an iPad Mini will be at least 11 hours (to 4 decimals)?

The battery life for an iPad Mini will be at least 11 hours is calculated as follows:

P(X\geq11) = \int\limits^{12}_{11} {\dfrac{1}{3.5}} \, dx

P(X\geq11) =  {\dfrac{1}{3.5}} (x)^{12}_{11}

P(X\geq11) =  {\dfrac{1}{3.5}} (12-11)

P(X\geq11) =  {\dfrac{1}{3.5}} (1)

P(X\geq11) = 0.2857

the probability that the battery life for an iPad Mini will be at least 11 hours is 0.2857 which is about 28.57 %

d. What is the probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours (to 4 decimals)?

P(9.5 \leq X\leq11.5) =\int\limits^{11.5}_{9.5} {\dfrac{1}{3.5}} \, dx

P(9.5 \leq X\leq11.5) ={\dfrac{1}{3.5}} \, (x)^{11.5}_{9.5}

P(9.5 \leq X\leq11.5) ={\dfrac{1}{3.5}} (11.5-9.5)

P(9.5 \leq X\leq11.5) ={\dfrac{1}{3.5}} (2)

P(9.5 \leq X\leq11.5) =0.2857* (2)

P(9.5 \leq X\leq11.5) =0.5714

Hence; the probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours is 0.5714 which is about 57.14%

e. In a shipment of 100 iPad Minis, how many should have a battery life of at least 9 hours (to nearest whole value)?

The probability that battery life of at least 9 hours is calculated as:

P(X \geq 9) = \int\limits^{12}_{9} {\dfrac{1}{3.5}} \, dx

P(X \geq 9) =  {\dfrac{1}{3.5}}(x)^{12}_{9}

P(X \geq 9) =  {\dfrac{1}{3.5}}(12-9)

P(X \geq 9) =  {\dfrac{1}{3.5}}(3)

P(X \geq 9) =  0.2857*}(3)

P(X \geq 9) =  0.8571

NOW; The Number of iPad  that should have a battery life of at least 9 hours is calculated as:

n = 100(0.8571)

n = 85.71

n ≅ 86

Thus , 86 should have a battery life of at least 9 hours

3 0
3 years ago
Instructions: Determine whether the following polygons are similar. If yes, type in
Anni [7]

Answer:

No, the polygons aren't similar since they don't have a constant scale factor.

8 0
2 years ago
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