Find the area of the shaded region

Answer:

i) 12 believe neither of these things.

ii) 3 believe voting is a waste of time but don't believe that they have been abducted by space aliens.

Step-by-step explanation:

I'm going to solve these question treating these events as Venn sets.

I am going to say that:

Event A: Voting is a waste of time.

Event B: They have been abducated by space aliens.

45 believe that Voting is a waste of time

This means that [tex]A = 45[/tex]

49 believe that they have been abducted by space aliens

This means that [tex]B = 49[/tex]

42 believe both of these things

This means that [tex]A \cap B = 42[/tex]

i). How many believe neither of these things?

Total of 64.

At least one is:

[tex]A \cup B = A + B - A \cap B[/tex]

With the values we have

[tex]A \cup B = 45 + 49 - 42 = 52[/tex]

None:

[tex]64 - 52 = 12[/tex]

12 believe neither of these things.

ii). How many believe Voting is a waste of time but don't believe that they have been abducted by space aliens?​

This is:

[tex]A - B = A - (A \cap B) = 45 - 42 = 3[/tex]

3 believe voting is a waste of time but don't believe that they have been abducted by space aliens.

Answer:

There is a 54% chance that the Jets will win the Stanley Cup.

Step-by-step explanation:

Since two hockey teams, the Winnipeg Jets and the Toronto Maple Leafs, miraculously make it to the Stanley Cup finals, where as soon as a team wins 3 games, the championship is over, and the schedule for the playoffs for home games is: Jets - Leafs - Jets - Leafs - Jets; since if the Jets are playing at home, there is a 60% chance they'll win, while if they are playing on the road, there is a 45% chance they'll win, to find the probability that the Jets win the Stanley Cup the following calculation must be performed:

(0.60 + 0.45 + 0.60 + 0.45 + 0.60) / 5 = X

2.70 / 5 = X

0.54 = X

Thus, there is a 54% chance that the Jets will win the Stanley Cup.

Answer:

I'm not exactly sure what this is asking, so i'm going to answer each part

A. 44%
B. 27%
C. 11.88% (assuming independence)

D. 61.36%

Step-by-step explanation:

Honestly I'm not really sure what he's asking but for A and B the answer is in the question. For C i assumed independence and multiplied the respective probabilities. For D I divided .27/.66 since it is a dependency probability

The probabilities of the events are

a. 0.44

b. 0.27

c. 0.1188

d. 0.2444.

Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.

For the given situation,

Statistics classes require a statistical calculator = 44% = 0.44

Statistics classes require a computer that has statistical software = 27% = 0.27

Of the classes that require a statistical calculator, classes also require the use of a computer = 15% = 0.15

a. P(Statistical Calculator) = 0.44

b. P(Statistical Software) = 0.27

c. P(Require a Statistical Calculator and Statistical Software) = [tex](0.44)(0.27)[/tex]

⇒ [tex]0.1188[/tex]

d. P(Require a Statistical Calculator GIVEN Require Statistical Software)

⇒ [tex]\frac{0.066}{0.27}[/tex]

⇒ [tex]0.244[/tex]

Hence we can conclude that the probabilities of the events are

a. 0.44

b. 0.27

c. 0.1188

d. 0.2444.

Learn more about probability here

https://brainly.com/question/19130157

#SPJ2

Answer:

I know what the answer is if you be more clear. Is 108 the diameter?

Answer:

75

Step-by-step explanation:

angle 4 is 75 because it forms a linear pair with angle 1, and 6 is alternate interior with 4 which makes it equal

Answer:

x + 2/x = 9/2

multiply through by x

x2 + 2 = (9/2)x

multiply through by 2

2x2 + 4 = 9x

2x2 - 9x + 4 = 0

We can factor by grouping.  2(4) = 8 ...

taken from coefficient of square term and the constant ...

Factors of 8 that add to -9 are (-8)(-1):

Replace -9x with -8x - x

2x2 - 8x - x + 4 = 0

(2x2 - 8x) - (x - 4) = 0

2x(x - 4) - (x-4) = 0

(2x-1)(x-4) = 0

2x-1 = 0 and x = 1/2

OR

x-4 = 0 and x = 4

Your two answers are {1/2, 4}

Answer:

192 in cubed

Step-by-step explanation:

Multiply 12*2= 24*8

Answer:

192 should be yyour answer

Step-by-step explanation:

Answer:

The margin of error is of $3.3124.

Step-by-step explanation:

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the mean, while the standard deviation is the square root of the sum of the variances.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Store's Card:

Sample of 64, mean of 140, standard deviation of 10, sample of 64, standard error of [tex]s = \frac{10}{\sqrt{64}} = 1.25[/tex]

Major Credit Card:

Sample of 39, mean of 125, Standard deviation of 8, Sample of 49, standard error of [tex]s = \frac{8}{\sqrt{49}} = 1.14[/tex]

Subtraction:

Mean: 140 - 125 = 15

Standard deviation:

[tex]\sigma = \sqrt{1.25^2+1.14^2} = 1.69[/tex]

Confidence interval:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = zs[/tex]

Then

[tex]M = 1.96*1.69 = 3.3124[/tex]

The margin of error is of $3.3124.

Answer:

B

Step-by-step explanation:

The circumference is just diameter x π (3.14 in this case) so 42 x 3.14 = 131.88

Answer:

B

Step-by-step explanation:

the circumference of a circle is

2×pi×r

with r being the radius (half the diameter).

2r is then the diameter.

so, in our case the circumference is

42×pi = 42 × 3.14 = 131.88 mm

Step-by-step explanation:

what number does the unknown stands for

Answer:

is 1

Step-by-step explanation:

(-2+1)^2 is 1

Answer:

436 ounces

Step-by-step explanation:

You start of by finding the total weight of the pumpkins

                       37 × 48 = 1776 ounces

We know that basket A+B+C has to equal the total weight of the pumpkins

Since basket C is by itself it's weight alone equals p (pumpkins)

A=3p

B=2p

C=p

Now we put the equation together

[tex]total weight of pumpkins= A+B+C[/tex]

1776=3p+2p+p

1776= 6p

Divide the the 6 over to get p by itself

[tex]\frac{1776}{6} =p[/tex]

p=296 ounces

Then you have to add the weight of the empty basket

296+140= 436 ounces

Answer:

(4 * 8y) - (4 * 12)

Step-by-step explanation:

We have the equation 4(8y - 12) and are asked to expand, this equation can be solved through distribution, and to expand it, we need to separate the "4" to multiplying into "8y" and "-12"

Therefore :

(4 * 8y)(4 * -12)

Now this may seem correct, but we have to keep in mind that we are not multiplying both answers within the parenthesis but yet subtracting, therefore :

(4 * 8y) - (4 * 12)

Answer:

396

Step-by-step explanation:

Answer:

use symbolab, it helps explain your math problems step by step.

Step-by-step explanation:

Answer:

explanation is in a files

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{d + 7c}\\\large\textsf{= 4 + 7(6)}\\\large\textsf{= 4 + 7 + 7 + 7 + 7 + 7 + 7}\\\large\textsf{= 4 + 14 + 14 + 14}\\\large\textsf{= 4 + 28 + 14}\\\large\textsf{= 4 + 42}\\\large\textsf{= 46}\\\\\large\textsf{Therefore, your answer should be: 46 }\large\checkmark\\\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\frak{\star \ Amphitrite1040:) \ \heartsuit}[/tex]

Answer:

rhombus and parallelogram .

Step-by-step explanation:

Answer:

A) 45cm²

Step-by-step explanation:

area of triangle = 1/2×base ×height

therefore, 1/2×10×9

=45cm²

the answer is c, i assume

Step-by-step explanation:

I am not certain about this answer, but give it a go.

Answer:

8x5−3

Step-by-step explanation:

Answer:

8 seed packets

Step-by-step explanation:

you just need to have half the amount of seed packets of the number of tomato plants grown

Answer:

It is a vector space

Step-by-step explanation:

The  set of all continuous functions C[0,1 ] defined on the interval [0,1] is a  vector space

as proven below ( attached below is a required proof that it is a vector space )

The set checks out for additivity, scalar multiplication and associativity hence it is a vector space

Answer: 1.9x2.8 + 3.2+2.8 = 14.28

HOPE THIS HELPS

Answer:

22.1

Step-by-step explanation:

Because of it being a pyramid we must use the equation Bh1/2

B = L + W  we assume that the base is a perfect square meaning all sides are the same length B = 4.8 + 4.8 = 9.6 then we multiply by the height

9.6 x 4.6 = 44.16 next you divide by 2 or multiply by .5  

44.16/2 = 22.08 then finally rounding to the nearest tenth

making 22.1 cubic inches

Answer:

12:16

Step-by-step explanation:

3 x 4 = 12

4 x 4 = 16

Answer:

6:8, 9:12, or 12: 16

Step-by-step explanation:

don't know how many you need but hope this helps! :))

Answer:

22 minus 4 = 18

18 divided by 3 is equal to 6

then following from the question now that we got the answer

so she have 6 cards first then it tripled and now it's 18 Then she added four now it's 22

your welcome

Answer:

6

Step-by-step explanation:

let x be the number of cards

3x + 4 = 22

3x = 18

x = 6