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3 years ago

A triangle has sides of lengthschool 24, 143 and 145. is it a right triangle?

Mathematics

1 answer:

Simora [160]3 years ago

6 0

Yes it is a right triangle because the 2 smaller sides are bigger than the biggest one

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I need help with number 3

Juli2301 [7.4K]

Answer:

a) 8 apples

b) 5 oranges

c) 2 oranges and 6 apples

Step-by-step explanation:

a) 8 apples × 1$ = 8$ < 10$

b) 5 oranges × 2$ = 10$

c) 2 oranges × 2$ = 4$

6 apples × 1$ = 6$ (4+6=10)

7 0

3 years ago

Read 2 more answers

Although cities encourage carpooling to reduce traffic congestion, most vehicles carry only one person. For example, 64% of vehi

ira [324]

Answer:

a) 0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

b) 0.996 is the probability that more than half of the vehicles carry just one person.

Step-by-step explanation:

We are given the following information:

A) Binomial distribution

We treat vehicle on road with one passenger as a success.

P(success) = 64% = 0.64

Then the number of vehicles follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

We have to evaluate:

$P(x \geq 6) = P(x =6) +...+ P(x = 10) \\= \binom{10}{6}(0.64)^6(1-0.64)^4 +...+ \binom{10}{10}(0.64)^{10}(1-0.79)^0\\=0.7291$

0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

B) By normal approximation

Sample size, n = 92

p = 0.64

$\mu = np = 92(0.64) = 58.88$

$\sigma = \sqrt{np(1-p)} = \sqrt{92(0.64)(1-0.64)} = 4.60$

We have to evaluate the probability that more than 47 cars carry just one person.

$P(x \geq 47)$

After continuity correction, we will evaluate

$P( x \geq 46.5) = P( z > \displaystyle\frac{46.5 - 58.88}{4.60}) = P(z > -2.6913)$

$= 1 - P(z \leq -2.6913)$

Calculation the value from standard normal z table, we have,

$P(x > 46.5) = 1 - 0.004 = 0.996 = 99.6\%$

0.996 is the probability that more than half out of 92 vehicles carry just one person.

5 0

3 years ago

g Two teams compete in the NBA (National Basketball Associa- tion) championshipseries. The team who wins four games out of seven

Firlakuza [10]

Answer: The required probability is 0.32.

Step-by-step explanation:

Since we have given that

Probability of winning team A over B = 0.7

Probability of losing team A over B = 0.3

Number of matches = 7"

So, using the "Binomial distribution" :

We get that

$P(X=5)=^7C_5(0.7)^5(0.3)^2=0.32$

Hence, the required probability is 0.32.

4 0

3 years ago

Graycie and her 6 friends are using 293 beads to make bracelets. They share the beads evenly but some were left over. How many b

FrozenT [24]

Answer:

Step-by-step explanation:

3 0

3 years ago

Line CD contains points C(7, 4) and D(6, 1). Line JK is parallel to line CD. Which two points lie on line JK?

Andru [333]

From 6,1 to 7,4
We can determine the slope of the line
rise/run
3/1=3

Now we know the slope of the line, a line parallel to it must obtain the same slope, therefore, I tried to see if the increase in y is three times the increase in x
I found the true pair to be A

(-4,1) and (-2,7)

6 0

3 years ago

Read 2 more answers