Is 2.6 > 2.59? Help me asap. Also is 2.09 = 2.9? Here is some help by a pic

Answer: A

Step-by-step explanation:

Answer:

a) 0.0000001024 probability that he will answer all questions correctly.

b) 0.1074 = 10.74% probability that he will answer all questions incorrectly

c) 0.8926 = 89.26% probability that he will answer at least one of the questions correctly.

d) 0.0328 = 3.28% probability that Richard will answer at least half the questions correctly

Step-by-step explanation:

For each question, there are only two possible outcomes. Either he answers it correctly, or he does not. The probability of answering a question correctly is independent of any other question. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Each question has five answers, of which only one is correct

This means that the probability of correctly answering a question guessing is [tex]p = \frac{1}{5} = 0.2[/tex]

10 questions.

This means that [tex]n = 10[/tex]

A) What is the probability that he will answer all questions correctly?

This is [tex]P(X = 10)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 10) = C_{10,10}.(0.2)^{10}.(0.8)^{0} = 0.0000001024[/tex]

0.0000001024 probability that he will answer all questions correctly.

B) What is the probability that he will answer all questions incorrectly?

None correctly, so [tex]P(X = 0)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074[/tex]

0.1074 = 10.74% probability that he will answer all questions incorrectly

C) What is the probability that he will answer at least one of the questions correctly?

This is

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

Since [tex]P(X = 0) = 0.1074[/tex], from item b.

[tex]P(X \geq 1) = 1 - 0.1074 = 0.8926[/tex]

0.8926 = 89.26% probability that he will answer at least one of the questions correctly.

D) What is the probability that Richard will answer at least half the questions correctly?

This is

[tex]P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{10,5}.(0.2)^{5}.(0.8)^{5} = 0.0264[/tex]

[tex]P(X = 6) = C_{10,6}.(0.2)^{6}.(0.8)^{4} = 0.0055[/tex]

[tex]P(X = 7) = C_{10,7}.(0.2)^{7}.(0.8)^{3} = 0.0008[/tex]

[tex]P(X = 8) = C_{10,8}.(0.2)^{8}.(0.8)^{2} = 0.0001[/tex]

[tex]P(X = 9) = C_{10,9}.(0.2)^{9}.(0.8)^{1} \approx 0[/tex]

[tex]P(X = 10) = C_{10,10}.(0.2)^{10}.(0.8)^{0} \approx 0[/tex]

So

[tex]P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.0264 + 0.0055 + 0.0008 + 0.0001 + 0 + 0 = 0.0328[/tex]

0.0328 = 3.28% probability that Richard will answer at least half the questions correctly

Answer:

Its 5,...................

Answer:

5

Step-by-step explanation:

simplify the exponent

35/8-1

simplify

35/7

simplify

5

Answer:

NO POSSIBLE TRIANGLES

Step-by-step explanation:

Answer:

no possible triangles

Step-by-step explanation:

Step-by-step explanation:

Perimeter = 3.6 + 3 + 702

= 708.6 cm

Answer:

19x - 25

steps:

(8x + 11x) + (-7 - 18)

19x + (-25)

positive x negative = negative

19x - 25

Answer:

19x - 25

Step-by-step explanation:

(8x + 11x) + (-7 - 18) <------- add the bold ones (combine like terms)...

19x + (-7 - 18) <--------------- subtract the bold ones...

(19x) - 25 <-------------------- eliminate parenthases

19x - 25 <--------------------- solution...

Answer:

308 pounds

Step-by-step explanation:

2.2 pounds /kg

2.2 x 140 = 308 pounds

Answer:

3500

hope this helps

Answer:

df(t)/dt = 10 - 0.8f(t)

Step-by-step explanation:

The net rate of change, df(t)/dt = rate in - rate out

The rate in = rate litter forms on ground = 10 g/cm²/yr

Since f(t) is the amount of litter present at time, t, in g/cm² the rate out = rate of decomposition = the percentage rate × f(t) = 80% per year × f(t) = 0.8f(t) g/cm²/yr

Since df(t)/dt = rate in - rate out

df(t)/dt = 10 - 0.8f(t)

So the desired differential equation is

df(t)/dt = 10 - 0.8f(t)

Answer:

The t-distribution is used, as we have the standard deviation of the sample.

The 95% confidence interval for the population mean time wasted is between 7.12 hours and 8.88 hours.

Step-by-step explanation:

We have the standard deviation for the sample, which meas that the t-distribution should be used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 81 - 1 = 80

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 80 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.99

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.99\frac{4}{\sqrt{81}} = 0.88[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 8 - 0.88 = 7.12 hours.

The upper end of the interval is the sample mean added to M. So it is 8 + 0.88 = 8.88 hours.

The 95% confidence interval for the population mean time wasted is between 7.12 hours and 8.88 hours.

Answer:

62

Step-by-step explanation:

Since you are simply finding the perimeter, I assume they just want you to add all the sides. 13 + 15 + 10 + 10 + 14 = 62

Given:

The two models for the two polynomials.

To find:

The sum of the given polynomials.

Solution:

From the given figure, it clear that

[tex]\text{First polynomial}=a^2+a+2[/tex]

[tex]\text{Second polynomial}=-a-1[/tex]

Adding both polynomials, we get

[tex]Sum=a^2+a+2+(-a-1)[/tex]

[tex]Sum=a^2+a+2-a-1[/tex]

[tex]Sum=a^2+1[/tex]

Therefore, the correct option is A.

Answer: uh I want to help you but what work I don’t see your question or- did you put a picture...

Step-by-step explanation:

Answer:

Step-by-step explanation:

well when you need help on a question you can put (ask a question) or when you wanna help people you can answer there questions

Answer:

0.1

Step-by-step explanation:

Answer:

Length of pendulum = 72 feet

Step-by-step explanation:

Given:

Time period (T) = 9.42

pi = 3.14

According to question,

T = 2 x pi x root(L/32)

9.42 = 2 x 3.14 x root(L/32)

9.42 = 6.28 × root (L/32)

9.42/6.28 = root(L/32)

1.5 = root(L/32)

Squaring both sides,

2.25 = L/32

L = 2.25 x 32

L = 72

Answer:

L=72

Step-by-step explanation:

T=2pi[tex]\sqrt{L/32\\}[/tex]

9.42 = (2 x 3.14)[tex]\sqrt{L/32}[/tex]

1.5=[tex]\sqrt{L/32}[/tex]

2.25 = L/32   (I squared both sides)

L=72

Hope this Helps

Answer:

Brainliest????

Step-by-step explanation:

X=23°

Answer:

Step-by-step explanation:

Part A: (3,2)

connect all the points on the paper

Part B: 5 units.  We know this since the x point for A is -2 and the point for B is 3.  -2 to 3(absolute value of -2 plus 3)= 5

Answer:

B and D

Step-by-step explanation:

A would be:

57 + 2j

C would be:

13-t

Answer:

∠C = 75°

Step-by-step explanation:

using the formula for the sum of interior mangles for a polygon:

total interior angles = (180° x 5 angles) - 360° = 540°

113° + 4x + 113° + 2x + 9° + 3x + 8° = 540°

combine like terms:

9x + 243° = 540°

9x = 297°

x = 33°

∠C = 2(33) + 9 = 75°

Answer:

Hi Jewel,  leave a comment if  you want more explanation of the following:

Step-by-step explanation:

point-slope formula:   y-y1 = m(x-x1)

slope-intercept formula:  y = mx + b

using point-slope: y-9 = 1/2(x-(-4))

= y-9 = 1/2(x + 4)

= y -9 = 1/2x +2

we've almost made it to slope-intercept from , notice, but the problem says to leave it in point-slope form, so there you go   :)  and leave a comment if you need more explanations  :)

Answer:

Males: 29

Females: 16

Step-by-step explanation:

2x+ 13 = 45

2x = 45 - 13

2x = 32

x = 16

16 + 13 = 29

29 +16 = 45

Answer:

The identity property of addition

Step-by-step explanation:

It is the identity property of addition.

Answer:

[tex]x {}^{2} - 2x - 1 = 14 \: where \: x = 5[/tex]

Answer:

231+X = 231+X

Step-by-step explanation:

Hope it helps!!!!!!!!

The given graph of g(x) is translated 4 units to left, so the function is g(x)=(x+4)². Therefore, option D is the correct answer.

A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the focus of the parabola, and the fixed line is called the directrix of the parabola.

From the graph, f(x)=x².

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex: (0,0)

Focus: (0,1/4)

Axis of Symmetry: x=0

Directrix: y= -1/4

In the graph we can graph of g(x) is translated 4 units to left, so the function is g(x)=(x+4)²

Therefore, option D is the correct answer.

To learn more about the parabola visit:

https://brainly.com/question/21685473.

#SPJ1

Answer:Nancy completed more of the essay.

Step-by-step explanation:4/6 + 2/6 = 6/6 = Nancy

3/6 + 2/6 = 5/6 = Evan

Therefore Nancy did more of the essay.