Triangle PQR has vertices (2,2) (5,-4) and (-4,-1). What type of triangle is triangle PQR

on a blue print a guest bedroom has dimensions 3cm by 5cm. If the blue print is drwn using the scale of 1/2 =2 ft .What is the a

LuckyWell [14K]

Answer:

240

Step-by-step explanation:

trust

6 0

2 years ago

Alaina is making a birdseed mix with 2 1/3 lb sunflower seeds, 5/6 lb cracked corn, and 1/6 lb peanuts. How much cracked corn do

Darya [45]

Answer:1.25

Step-by-step explanation:

If you add everything it makes 3 and 1/3 pounds you want 5

If you divide 5 by 3 and 1/3 it's 1.5

Then you just need to multiply 5/6 by 1.5

7 0

3 years ago

Suppose that 75% of all trucks undergoing a brake inspection at a certain inspection facility pass the inspection. Consider grou

RSB [31]

Answer:

b) 0.2961

c) 0.2251

d) Mean = 11.25, Standard deviation = 1.667

Step-by-step explanation:

We are given the following information:

We treat trucks undergoing a brake inspection passin as a success.

P( trucks undergoing a brake inspection passes the test) = 75% = 0.75

a) Conditions for binomial probability distribution

There are n independent trial.
Each trial have a success probability p
The probability of success is same for all trials.

Then the number of trucks undergoing a brake inspection 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 = 15

b) P(proportion of groups will between 8 and 10 trucks pass the inspection)

We have to evaluate:

$P(8\leq x \leq 10) = P(x = 8) + P(x = 9) + P(x = 10)\\= \binom{15}{8}(0.75)^8(1-0.75)^7 + \binom{15}{9}(0.75)^9(1-0.75)^6 + \binom{15}{10}(0.75)^{10}(1-0.75)^5\\= 0.0393 + 0.0917 + 0.1651\\= 0.2961$

c) P( exactly 3 trucks fail the inspection)

p = 0.25

$P(x = 3)\\= \binom{15}{3}(0.25)^3(1-0.25)^{12}\\=0.2251$

d) Mean and standard deviation

$\mu = np = 15(0.75) = 11.25\\\sigma = \sqrt{np(1-p)} = \sqrt{15(0.75)(1-0.75)} = 1.667$

6 0

2 years ago

X^6+3x^3-5 write the expression in quadratic form

Art [367]

Step-by-step explanation:

$v = {x}^{3} \\ {v}^{2} + 3v - 5 = 0 \\$

Solving this equation using the quadratic formula, we get two real solutions :

1.1926 or -4.1926

Now we know the values of v , we can calculate x since x is ∛ v

${x}^{6} + 3 {x}^{3} - 5 = 0$

$x = \sqrt[3]{1.1926} = 1.0605 \\ x = \sqrt[3]{ - 4.1926} = - 1.6125$

3 0

2 years ago

A star is a swirling mass of dense gases powered by thermonuclear reactions. The great solar furnace transforms 7 million tons o

marta [7]

Answer:

2.20752 x $10^{24}$

Step-by-step explanation:

The first thing you have to do is to look for the number of seconds in one year. You have to multiply 365 days by 86,400 seconds.

365 days refer to the total number of days per year
86,400 seconds refer to the number of seconds per day

Let's solve.

365 x 86,400 = 31,536,000 or 3.1536 x $10^{7}$

Therefore, one year has 3.1536 x $10^{7}$ seconds.

Next, you have to know the number of seconds in 10 billion years.

(3.1536 x $10^{7}$ ) x (1.0 x $10^{10}$ ) = 3.1536 x $10^{17}$

The last step is to multiply the number of seconds in 10 billion years to 7 million tons of mass per second.

(3.1536 x $10^{17}$ ) x 7,000,000 = 2.20752 x $10^{24}$

6 0

2 years ago