An examination consists of multiple-choice questions, each having five possible answers. Linda estimates that she has probability 0.4 of knowing the answer to any question that may be asked. If she does not know the answer, she will guess, with conditional probability 1/5 of being correct.A. What is the probability that Linda gives the correct answer to a question? B. What is the conditional probability that Linda knows the answer, given that she supplies the correct answer?

Answer:

8

Step-by-step explanation:

Answer:

swdfghjkl;'[

Step-by-step explanation:

asdfghjkl;'iy7u6j54hy3feqdwsrtfyuiop;lkjhgf

Answer:

nbmmmmmmmmmmmmmmmmmm

Step-by-step explanation:

Answer:

104.04 ft.²

Step-by-step explanation:

length times width

Answer:

104.042

Step-by-step explanation:

area of rectangle=length*width

Answer:

There are no questions....

Are they on your prev one?

Answer:

5

Step-by-step explanation:

Area of right angle Triangle:

6.5 * 9 * 1/2 = 29.25

2nd way to find area:

1/2 * base * height

Since we have area and base:

1/2 * 11.1 * h = 29.25

= 5.27m

= 5m (nearest tenth)

The height h of the roof to the nearest tenth is 5.3 m

Right angle triangle has one of its angles as 90 degrees. The triangles are likewise similar and can be used to find the height h of the roof.

Therefore,

cross multiply

11.1 h = 9 × 6.5

11.1 h = 58.5

divide both sides by 11.1

11.1 h / 11.1 = 58.5 / 11.1

h = 5.27027027027

h = 5.3 m

learn more on right triangle here: https://brainly.com/question/4280778

Answer: 14

Step-by-step explanation:

Answer:

12 units^2

Step-by-step explanation:

The triangle on the left has an area of 2, the square has an area of 4 and the triangle on the right has an area of 6.

Add these up to get 2+4+6 = 12

Answer:

The correct answer is D

Step-by-step explanation:

Boundary points are NOT always solutions

The statement  not true about the boundary line in the graph of a linear inequality in two​ variables is he point on boundary line are always solutions to the linear inequality

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.

According to the question

Hence, The statement  not true about the boundary line in the graph of a linear inequality in two​ variables is he point on boundary line are always solutions to the linear inequality.

To know more about boundary line in graph of a linear inequality in two variable represent here:

https://brainly.com/question/21397250

#SPJ3

Answer:

Step-by-step explanation:

The specifications of a decagonal pyramid would be the following

It has one face that is a decagon.

35 diagonals in the base.

10 isosceles triangles as faces above the base

11 vertices - 10 in the base and 1 at the top

20 edges - 10 in the base and 10 above the base

This can all be seen in the picture of the decagonal pyramid below. The only decagonal face is on the base of the pyramid as the top is a vertice where all of the triangles meet.

Answer:

~B,D,E~

Step-by-step explanation:

Answer:

Step-by-step explanation:

Angle 3 makes alternate interior angle pair with angle 5

Answer:

C. ∠5

Step-by-step explanation:

Angle 3 makes alternate interior angle pair with angle 5

∠3 ≅ ∠5

Answer:

x=15

Step-by-step explanation:

Hello there!

The shown angles are vertical angles

if you didn't know vertical angles are congruent

That being said we can create equation

5x + 40 = 115

now we solve for x

step 1 subtract 40 from each side

40 - 40 cancels out

115 - 45 = 75

now we have 75 = 5x

step 2 divide each side by 5

5x/5=x

75/5=15

we're left with x = 15

Answer:

C

Step-by-step explanation:

In D, the x value repeats

Answer:

C

Step-by-step explanation:

C has a positive then negative slope, while D can't even be a function.

I hope this helps :)

Answer:

L²=(3-0)²+(4-0)²

L²=9+16

L²=25

L=5units

Answer:

The GFC of 22 and 32 is 2

Step-by-step explanation:

Answer:

steps below

Step-by-step explanation:

√2 * sin(x+45°)

= √2 * (sinx cos45° + cosxsin45°)

= √2 * (sinx * √2/2 + cosx * √2/2 )

= (√2 * √2/2) (sinx + cosx)

= sinx + cosx

Answer:

50+50x

Step-by-step explanation:

they're asking you to use distributive property

so what you have to do is multiply everything that is in the parenthesis by 10

5x10=50

5x10x=50x

so the answer is 50+50x

have a great day :D

========================================================

Explanation:

To get this answer, we multiply the outer term 10 by each term inside

I'm using the distribution rule or distributive property. So that's why (5+5x)10 is the same as 50+50x

We could arrange the terms to get 50x+50 if you wanted.

--------------------------

Extra info (optional section):

Let's say that instead of 10, we had a smaller value like 2

(5+5x)2 would mean we have two copies of (5+5x) added together

So we'd have (5+5x)+(5+5x) = (5+5)+(5x+5x) = 10+10x

Then note how the distributive property says

(5+5x)*2 = 5*2+5x*2 = 10+10x

This is one example that helps us see how the distributive property is correct.

Answer:

24÷8=3

Step-by-step explanation:

because 24÷8=3

Answer:

a. Jean, because her commute is in the country.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Whoever has the higher z-score will have the longer commute.

Mary:

Travels for 35 minutes. In big cities, average commutes are 40 minutes with a standard deviation of 15 minutes. This means that [tex]X = 35, \mu = 40, \sigma = 15[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{35 - 40}{15}[/tex]

[tex]Z = -0.33[/tex]

Jean:

Travels for 30 minutes. In rural areas, the average commute is 25 minutes with a standard deviation of 6 minutes. This means that [tex]X = 30, \mu = 25, \sigma = 6[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{30 - 25}{6}[/tex]

[tex]Z = 0.83[/tex]

Due to being in the Country, Jean's z-score is higher, so her commute is longer. The correct answer is given by option A.

The true statement is (a) Jean, because her commute is in the country.

For Mary, we have the following parameter:

x = 35 minutes from  the city

For Jean, we have the following parameter:

x = 30 minutes from  the county

The z-score is calculated as:

[tex]z = \frac{x - \bar x}{\sigma}[/tex]

For the city, we have:

[tex]\bar x = 40[/tex]

[tex]\sigma = 15[/tex]

So, the z-score of Mary is:

[tex]z = \frac{35 - 40}{15} = -0.33[/tex]

For the country, we have:

[tex]\bar x = 25[/tex]

[tex]\sigma = 6[/tex]

So, the z-score of Jean is:

[tex]z = \frac{30 - 25}{6} = 0.83[/tex]

0.83 is greater than -0.33

Hence, Jean has a longer commute

Read more about normal distribution at:

https://brainly.com/question/25638875

9514 1404 393

Answer:

  x ≈ -0.5416

Step-by-step explanation:

As with any "solve for ..." problem, you essentially want to "undo" what has been done to the variable of interest. Here, if you were to evaluate the left-side expression (where the variable is) for some value of x, you would ...

You want to "undo" these operations in reverse order. That is, you work from the bottom of this list toward the top, using inverse operations along the way.

The inverse of addition is subtraction; the inverse of multiplication is division. The inverse of raising to a power is taking a logarithm.

undo add 5

  [tex]2\cdot9^{10x+7}+5-5=70-5\\2\cdot9^{10x+7}=65[/tex]

undo multiply by 2

  [tex]\cfrac{2\cdot9^{10x+7}}{2}=\dfrac{65}{2}\\\\9^{10x+7}=32.5[/tex]

undo raise to a power (take logarithms)

  [tex](10x+7)\log(9)=\log(32.5)\\\\10x+7=\dfrac{\log(32.5)}{\log(9)}\quad\text{equivalent to $\log_9(32.5)$}[/tex]

undo add 7

  [tex]10x+7-7=\dfrac{\log(32.5)}{\log(9)}-7\\\\10x\approx -5.41562[/tex]

undo multiply by 10

  [tex]\dfrac{10x}{10}\approx\dfrac{-5.41562}{10}\\\\x\approx-0.541562\\\\\boxed{x\approx-0.5416}\quad\text{rounded to 4 dp}[/tex]

Answer:

x=0.5416...................

Answer:

x=-1

Step-by-step explanation:

1/4x+1/2=2/4x+3/4

1/4x+2/4=2/4x+3/4

2/4=(2/4x-1/4x)+3/4

2/4=1/4x+3/4

2/4-3/4=1/4x

-1/4=1/4x

-1=x

x=-1

Answer

2

Step-by-step explanation:

Answer: P-22 A-30

P=28 A-28

P=12 A=9

P=18 A=18

Step-by-step explanation:

1. Side lengths are 5,6,5,6- perimeter is 22 Area is 5*6= 30

2. Side lengths are 10,4,4,2,6,2- perimeter is 28 Area can be found by finding the area of the whole region (4*10) and subtracting the missing piece (2*6) so 40-12=28

3. sides are all 3- perimeter is 3*4= 12 and area is 3*3=9

4. sides are 6,3,6,3- perimeter is 18 and area is 3*6=18

Answer:

142.333....

Step-by-step explanation: just use a calculator

Answer:

142.34

Step-by-step explanation:

427 ÷ 3 = 142.34

good luck, i hope this helps :)

Answer:

8.25

Step-by-step explanation:

15*.45=6.75

15-6.75=8.25

Answer:

Step-by-step explanation:

15x45%= $6.75

Answer:

Step-by-step explanation:

In both problems the area is made up of a rectangle and a triangle. The area of the rectangle is A=xy. The area of a triangle is A=bh/2

First problem

A=4(13)+5(13-6)/2

A=69.5ft^2

Second problem

A=5(3)+(6-3)(5-2)/2

A=19.5m^2

Answer:

Explanation:

4.7 + (-3.65)

= 4.7 - 3.65

Answer:

1.05

Step-by-step explanation:

4.7 + (-3.65)

= 4.7 - 3.65

= 1.05

Let me know if you have any questions :)