PLEASE ANSWER!! Which unit of measure would be MOST appropriate to use when finding the weight of an Orange

ziro4ka [17]

The first one I believe

7 0

4 years ago

A multiple choice test consists of 60 questions. Each question has 4 possible answers of which one is correct. If all answers ar

Inga [223]

Answer:

Option 4 - 0.8508

Step-by-step explanation:

Given : A multiple choice test consists of 60 questions. Each question has 4 possible answers of which one is correct. If all answers are random guesses.

To find : Estimate the probability of getting at least 20% correct ?

Solution :

20% correct out of 60,

i.e. $20\%\times 60=\frac{20}{100}\times 60=12$

Minimum of 12 correct out of 60 i.e. x=12

Each question has 4 possible answers of which one is correct.

i.e. probability of answering question correctly is $p=\frac{1}{4}=0.25$

Total question n=60.

Using a binomial distribution,

$P(X\geq 12)=1-P(X\leq 11)$

$P(X\geq 12)=1-[P(X=0)+P(X=1)+P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)+P(X=6)+P(X=7)+P(X=8)+P(X=9)+P(X=10)+P(X=11)]$

$P(X\geq 12)=1- [^{60}C_0(0.25)^0(1-0.25)+^{60-0}+^{60}C_1(0.25)^1(1-0.25)^{60-1}+^{60-1}+^{60}C_2(0.25)^2(1-0.25)^{60-2}+^{60}C_3(0.25)^3(1-0.25)^{60-3}+^{60}C_4(0.25)^4(1-0.25)^{60-4}+^{60}C_5(0.25)^5(1-0.25)^{60-5}+^{60}C_6(0.25)^6(1-0.25)^{60-6}+^{60}C_7(0.25)^7(1-0.25)^{60-7}+^{60}C_8(0.25)^8(1-0.25)^{60-8}+^{60}C_9(0.25)^9(1-0.25)^{60-9}+^{60}C_{10}(0.25)^{10}(1-0.25)^{60-10}+^{60}C_{11}(0.25)^{11}(1-0.25)^{60-11}]$

$P(X\geq 12)\approx 0.8508$

Therefore, option 4 is correct.

4 0

4 years ago

First answer gets brainliest

Iteru [2.4K]

Answer:

C

Step-by-step explanation: i did this and i think C was the answer

8 0

3 years ago

Read 2 more answers

If sin x = -3/5 and cos x > 0 what is the value of tan x

4vir4ik [10]

Answer:

tan x = opp / adj = -3/4

Step-by-step explanation:

If sin x = -3/5, then we have the following info as a starting point:

opposite side = -3 (implying that the angle is in either QIII or QIV), and

hypotenuse = 5.

Using the Pythagorean Theorem, we find that x² + (-3)² = 5², where x is the length of the adjacent side. Solving for x², we get x² = 25-9 = 16, so that the adj. side, x, is either +4 or -4.

If cos x > 0, then x must be in either QI or QIV.

If both conditions are satisfied (sin x = -3/5 and cos x > 0), then the angle x must be in QIV.

Then tan x = opp / adj = -3/4.

6 0

3 years ago

What is the solution of equation for -3x^3 -x^2 + 54x -40 = 2x^2 + 6X + 20

maw [93]

Answer:

The solved given equation is $x^3+x^2+16x-20=(x-2)(x-2)(x+5)$ .