Captain Ashley has a ship, the H.M.S Crimson
Lynx. The ship is two furlongs from the dread
pirate Umaima and her merciless band of
thieves.
If her ship hasn't already been hit, Captain
1
Ashley has probability of hitting the pirate
2
ship. If her ship has been hit, Captain Ashley will
always miss.
If her ship hasn't already been hit, dread pirate
1
Umaima has probability of hitting the
3
Captain's ship. If her ship has been hit, dread
pirate Umaima will always miss.
If the Captain and the pirate each shoot once,
and the pirate shoots first, what is the probability
that both the pirate and the Captain hit each
other's ships?

Answer:

[tex]CI\approx\{0.0076,0.0924\}[/tex]

Step-by-step explanation:

The formula for a z-confidence interval for a difference of proportions is [tex]\displaystyle CI=(\hat{p}_1-\hat{p}_2)\pm z^*\sqrt{\frac{\hat{p}_1(1-\hat{p}_1)}{n_1}+\frac{\hat{p}_2(1-\hat{p}_2)}{n_2}}[/tex]:

Let [tex]\hat{p}_1=0.65[/tex] to represent the sample proportion of [tex]n_1=1000[/tex] women who are in favor of stricter gun control laws and let [tex]\hat{p}_2=0.60[/tex] to represent the sample proportion of [tex]n_2=1000[/tex] men who are in favor of stricter gun control laws.

A 95% confidence level corresponds to a critical value of [tex]z^*=1.96[/tex], so now we perform the necessary calculations assuming conditions are met:

[tex]\displaystyle CI=(0.65-0.60)\pm 1.96\sqrt{\frac{0.65(1-0.65)}{1000}+\frac{0.60(1-0.60)}{1000}}\approx\{0.0076,0.0924\}[/tex]

Hence, we are 95% confident that the true difference in the proportion of women and men who favor stricter gun control laws is between 0.0076 and 0.0924

Since the interval does not contain "0" and only contain values greater than "0", it is more likely that the proportion of women who were in favor of stricter gun control laws is higher than the proportion of men who were in favor of stricter gun control laws.

Answer:

Hope the picture will help you........

Answer: 5(x + 1)(x + 4)

Step-by-step explanation Tell me if it is wrong

2 hours costs 6 dollars is the only statements that is true

--

simply add 3.00 to 3.00 because its 2 hours

or if it was half an hour simply add 1.50 because half of 3.00 is 1.50

Answer:

Midsegment theorem for Traoezoids

Step-by-step explanation:

I hope it helps you

Answer: (6,-12)

Step-by-step explanation:

For dilations centered at the origin, we can multiply each of the coordinates by the scale factor. This means that [tex]C'=(2 \times 3, -4 \times 3)=\boxed{(6, -12)}[/tex]

Answer:

If is not one to one is not inverse (no inverse)

Step-by-step explanation:

Answer:

90 degrees cuz the lil square thang

Answer:

x = 48°

Step-by-step explanation:

The sum of angles on a line is 180°.

The angles 42°, 90°, and x° lie on the same line.

Answer:

25%

Step-by-step explanation:

the original price is 20 not 25 because 25 is the total of the profit and the price of the chocolate so there's no way 25 is the original price and if you know that and you know the formula it'll be easy for you to get the percentage profit good day.

(22 + 26) / 8 = x

(/ this means division)

Answer:

Answer C. $12.00

Step One: Round

First you will want to round $3.98 to the nearst hundredth. A little saying my teacher taught me to help you to remember to round:

Find your place, and move next door.

Five or over add one more!

Numbers to the left, stay the same.

Numbers to the right, zeros your name!

So, we choose the 8 in 3.98. We then round. Since the nine is over five, we add one more to it. Causing it to be 4.00

Step Two: Multiply

Now multiply buy 3 since Jill is getting three pints of strawberries

3 times 4 is twelve

So, your answer is 12.00

Hope this helps!!

Answer: A, C

Step-by-step explanation:

Diagonals of a parallelogram bisect each other, so [tex]4x-7=2x+1 \longrightarrow x=4[/tex]. So [tex]ED=4(4)-7=\boxed{9}[/tex].

Opposite sides of a parallelogram are congruent, so [tex]8y-3=3y+7 \longrightarrow y=2[/tex], so [tex]AD=8(2)-3=\boxed{13}[/tex]

The equation of the median-median line for given data will be y = 3x + 10. Then the correct option is A.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The data set in the table is given below.

X           Y

2           6

4          22

6          30

8          24

10         40

12         46

14         52

16         72

18         60

20        64

For the above after dividing the above data into 3 parts of the set (3,4,3)

Then the equation of the median-median line for given data will be

y = 3x + 10

Then the correct option is A.

More about the linear system link is given below.

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Answer: X-ints = (-1,0) and Y-ints = (1,0)

Step-by-step explanation:

This is quite simple. The way to solve this problem is by visualization, if you have learned how coordinates are created, this is how you would do it.

In a 2D plane, you have an X and Y axis and coordinates are created in the form of (X,Y).

by simply looking at the graph, I can see how the line crosses the positive 1 in the Y-axis, and -1 in the X-axis.

Part A) asks to find the X-intercept(s) which as stated above, it croses -1 on the X-axis and 0 on the Y-axis. Therefore the intercept is:

(-1,0)

part B) asks the same but for the Y-intercepts. We look at the graph and see the line crosses positive 1 in the Y-axis, and 0 in the X-axis. So:

(0,1)

done :)

Answer:

In the figure,

AC is the diameter of circle with centre O

∠DAC=37

o

AD || BC

∠ACB=∠DAC (Alternate angles)

Hence,

x=37

o

In Δ ABC,

∠B=90

o

 (angle in semicircle)

By angle sum property of triangle, we get,

∠x+∠y+∠B=180

o

37

o

+∠y+90

o

=180

o

∠y=180

o

−127

o

We get,

∠y=53

o

Step-by-step explanation:

The sum of the infinite geometric sequence 16, 8, 4, 2 is 32

The sum can be represented as follows:

s∞ = a / 1  - r

where

r = common ratio

a = first term

Therefore,

r = 8 / 16 = 1 / 2

a = 16

hence,

s = 16 / 1 - 1 / 2

s = 16 / 1 / 2

s = 16 × 2 / 1

s = 32

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Answer:

50.6

Step-by-step explanation:

Answer:

20% of players are left-handed

Step-by-step explanation:

First, find how much each player is worth percent-wise

100 / 80 = 1.25

Then find out how much percent of players that makes up

1.25 x 16 = 20

The answer is 20% of players are left-handed, to check it you could do

80 * 0.2 = 16

(80 = total players, 0.2 = 20%, 16 = total left handed players)

Answer:

the answer should be 2

Step-by-step explanation:

you have to divide the 18 balls by the 9 girls.

The length and width of the rectangle will be √68 and √17. Then the perimeter of the rectangle will be 2 (√17 + √68).

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

The graph is shown below.

Then the perimeter of the rectangle will be

P = 2 (length + width)

The length of the rectangle will be

L² = 2² + 8²

L² = 4 + 64

L² = 68

L = √68

The width of the rectangle will be

W² = 1² + 4²

W² = 1 + 16

W² = 17

W = √17

Then the perimeter will be

P = 2 (√17 + √68)

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Answer:

D

Step-by-step explanation:

Answer:

No solutions

Step-by-step explanation:

Given inequality,

To Find:

Value of x in the inequality.

Solution:

Add -7 to both sides

Find absolute value

Why?

Reason:Because, absolute values can't be less than 0.

Using the normal distribution, it is found that 84 people would be expected to have BP > 160.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

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

Researching the problem on the internet, the mean and the standard deviation for the BPs are given, respectively, by:

[tex]\mu = 122, \sigma = 22[/tex].

The proportion of adults with BP > 160 is given by one subtracted by the p-value of Z when X = 160, hence:

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

[tex]Z = \frac{160 - 122}{22}[/tex]

Z = 1.73

Z = 1.73 has a p-value of 0.9582.

1 - 0.9582 = 0.0418.

Out of 2000 people:

0.0418 x 2000 = 83.6.

Rounding to the nearest integer, 84 people would be expected to have BP > 160.

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The value of two arithmetic means which are inserted between 3 and 24 are 24/9 and 75/9.

Arithmetic mean is the mean or average which is equal to the ratio of sum of all the group numbers to the total numbers.  

The two arithmetic means between 3 and 24 are has to be inserted.

3, A₂, A₃, 24

All the four numbers are in arithmetic progression. The nth terms of AM can be found using the following formula:

t(n)=a(n-1)d

Here, d is the common difference a is the first terms and n is the total term.  The first term, a=3 and t₄=24. Thus, the common difference is;

[tex]t(n)=a(n-1)d\\t(4)=3(4-1)d\\24=3(3)d\\24=9d\\d=\dfrac{24}{9}[/tex]

The second and 3rd term are:

[tex]A₂=3+\dfrac{24}{9}=\dfrac{51}{9}\\ A₃=\dfrac{51}{9}+\dfrac{24}{9}=\dfrac{75}{9}[/tex]

Thus, the value of two arithmetic means which are inserted between 3 and 24 are 24/9 and 75/9.

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The relationship between points R , S , and T is that the sum of the RS and RT will be equal to  RT that is RT=RS+ST

Collinear points are defined as the points which lie on the same line. Here we have three points R, S and T that are collinear.

We have the length equal to:

RS=5, RT=12 ST=7

So we can set the relationship as the sum of the RS and RT will be equal to  RT.

So the relation will be given as:-

RT=RS+ST

hence the relationship between points R , S , and T is that the sum of the RS and RT will be equal to  RT that is RT=RS+ST

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Answer:

R, S, and T

Step-by-step explanation:

collinear, is the relationship between all the points

Answer:

[tex]5y=-4[/tex]

Sure hope this helps you  :D

Answer:

7x²a(x + a)

Step-by-step explanation:

7x³a = 7 * x * x * x * a

7x²a² = 7 *x * x * a *a

Common factor = 7x²a

So we have to take the common factor from the two terms

7x³a + 7x²a² = 7x²a ( x + a)

Answer:

333 ft^2

Step-by-step explanation:

Surface area is the sum of all the areas of the shape.

First, the area of the square in the center is simply 9x9 = 81.

The area of a triangle is (bh)/2, where b = base, and h = height

In the triangle, 9 is the base, and 14 is the height:

(9x14)/2 = 63

There are four triangles of the same area:

63 x 4 = 252

252 + 81 = 333

Answer:

333ft^2

Step-by-step explanation:

Answer:

X=69

Step-by-step explanation:

52, 58, 57, X =59

52+58+57+X/4=59

167+X/4=59

Multiply both sides by 4

4(167+X) /4 = 59x4

Simplify

167 + X= 236

Subtract 167 from both sides

167 + X- 167 = 236 – 167

Simplify

X= 69

to check

52+ 58+57+69/4 =59