If there are 7 values in a data set, which value is the median?

Answer:

2/45

Step-by-step explanation:

Total socks:

7 + 8 + 10 + 5 = 30

P(blue) × P(patterned)

8/30 × 5/30

4/15 × 1/6

2/45

Answer:

2/45

Step-by-step explanation:

The total number of socks is 7+8+10 +5

30

P(blue) = number of blue socks / total

           = 8/30 = 4/15

Then we replace it so we have the same number of socks

P(patterned) = number of patterned socks / total

                     = 5/30 = 1/6

P(blue, replace/patterned) = 4/15*1/6

                                             =2/45

Answer:

she would walk at least those 62 miles

Step-by-step explanation:

We are told that in the 3 days of the walk to fight cancer, Mary breaks the 62 mile barrier every day, that is to say that every day she travels 62 miles or more.

You ask us how much she walks in a single day, considering what the statement that goes at least 62 miles each day says, she would walk at least those 62 miles on a normal day.

Answer:

2-1=1 so A. is 100% more than B because A is 2 times bigger than B.

A. is the answer 2:1

Hope this helps

Step-by-step explanation:

The option that shows the ration A: B is Option C - 1:2. See the rationale below.

If A is 100% more than B, it means that A is equal to B plus 100% of B. In other words, A is twice the value of B.

Therefore, the ratio of A to B is 1:2, indicating that A is twice as much as B.

Recall that a ratio is a quantitative relationship between two or more quantities, indicating how many times one quantity is contained or repeated in relation to another quantity.

It is expressed as a fraction or with a colon (:), representing the relative comparison of the quantities.

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All angles are of triangle and thus give sum of 180⁰

x + 5 + 7x - 5 + x = 180⁰

9x = 180⁰

x = 20⁰

Answer:

it's 20

Step-by-step explanation:

(X+5)° + (7x-5)° + x°= 180° { sum of the three angles of the triangle is 180°}

X+5+7x-5+X = 180

X+7x+X+5-5= 180

9x+0 = 180

9x = 180

therefore X= 180/9

= 20

Answer:

Yes

Step-by-step explanation:

I graphed both of the equations on the graph below to show you that they intersect at the point (1,3), making it the solution to the system.

If this answer is correct, please make me Brainliest!

Answer: Yes

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

product of 2 and 8= multiply

2x8=16

Divide by 8

16/8=2

Answer:

a)  (0.124, 0.435)

b) I am 95% confident that the proportion difference is between 0.124 and 0.435

Step-by-step explanation:

Given that:

For male students: number of male students ([tex]n_m[/tex]) = 69, number who liked the new method (x) = 38

For female students: number of female students ([tex]n_f[/tex]) = 73, number who liked the new method (x) = 20

a) The probability that a male student like the new method ([tex]P_1[/tex]) is given as:

[tex]P_1=\frac{38}{69} =0.55[/tex]

The probability that a female student like the new method ([tex]P_2[/tex]) is given as:

[tex]P_2=\frac{20}{73} =0.27[/tex]

c = 95%, α = 1 -c = 0.05

[tex]z_{\frac{\alpha }{2} }=1.96[/tex]

the difference between the proportions of male and female students who like the new method better = [tex]P_1-P_2[/tex] ± [tex]z_{\frac{\alpha }{2} }\sqrt{\frac{P_1(1-P_1)}{n_m} +\frac{P_2(1-P_2)}{n_f}}[/tex] =  [tex]0.55-0.27[/tex] ± [tex]1.96\sqrt{\frac{0.55(1-0.55)}{69} +\frac{0.27(1-0.27)}{73}}[/tex]  = (0.124, 0.435)

b) I am 95% confident that the proportion difference is between 0.124 and 0.435

Answer:

60 ft

Step-by-step explanation:

got it right

Answer:

60

Step-by-step explanation:

Answer:

The balance of the account is $64,190.

Step-by-step explanation:

The amount of money after t years of continous compounding is given by the following equation:

[tex]P(t) = P(0)e^{rt}[/tex]

In which P(0) is the initial deposit and r is the interest rate, as a decimal.

$60,000 deposited for 6 years at 1.125% interest compounded continuously.

This means that [tex]P = 60000, r = 0.01125, t = 6[/tex]

So

[tex]P(6) = 60000e^{0.01125*6} = 64190[/tex]

The balance of the account is $64,190.

Answer:

35 years old.

Step-by-step explanation:

To find the age of Gwen, multiply Robin's age, which is 11, by 3, which gives you 33. Then add two to 33 to get Gwen's age, which is 35 years.

Answer:

Gwen is 35 years old

Step-by-step explanation:

In order to understand the word problem better, I turned it into and equation.

Since Gwen is 2 years older than 3 times Robins age, the equation would be:

Gwens age = (3 • Robins age) + 2

G = (3 • 11) + 2

G = (33) + 2

G = 35

So Gwen is 35 years old.

Answer:

132 Miles

Step-by-step explanation:

First you must subtract $42 from $114.60.

[tex]114.60 - 42 = 72.6[/tex]

Then, you need to divide $0.55 by $72.6.

[tex]72.6 \div 114.60 = 132[/tex]

Hope this helped! :)

Answer:120 1/6 feet sq.

Step-by-step explanation: Area of a rect. = length×breadth(width)

Area=12 1/2× 10 1/3

Area= 120 1/6

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Answer:

  D.  Each digit has a value 10 times the value of the digit to its right and 1/10 of the value of the digit to its left

Step-by-step explanation:

Digits increase in value by a factor of 10 for each place you move to the left. Hence a digit to the right has 1/10 the value.

_____

Comment on place value

The multiplier for a base-10 (decimal) number system is 10 as you move one place to the left. In some other base, the multiplier is that base. In a binary (base-2) number system, each "bit" increases in value by a factor of 2 as you move to the left.

Therefore, the "Choice D" is the only correct answer.

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Answer:

75 sweets.

Step-by-step explanation:

Pip gets 7/(7+5) = 7/12 .

Let Sara get x sweets so Pip gets 7/5 x sweets.

7/5 x = x + 30

2/5 x = 30

x = 5/2 * 30 =  75.

Sara gets 75 sweets.

Answer:

Sara has £75

Step-by-step explanation:

Pip : Sara

7   :    5

If Pip gets £30 more than Sara, then

5x+30=7x

Where x is £?

Subtract 5x from both sides

30=2x

Divide both sides by 2

x=£15

£15

Pip : Sara

105:  75

Answer:

Step-by-step explanation:

28x3=84

Answer:

The answer is  84

Because 28x3=84

The answer is b. none. This is because the lines are parallel and therefore do not intersect at a point, meaning that there are no solutions.

Answer: [tex]3\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{18}[/tex] = [tex]\sqrt{3*6}[/tex] = [tex]\sqrt{3*3*2}[/tex] = [tex]\sqrt{3^{2}*2 }[/tex] = [tex]3\sqrt{2}[/tex]

Answer:

17.2

Step-by-step explanation:

It's kinda like the pythagorean theorem where you square the sides, add them, and then square root the answer. I hope this is correct

Answer:

1335

Step-by-step explanation:

Starter + Main = 8 x 15 = 120

Main + Dessert = 15 x 9 = 135

Starter + Main + Dessert = 8 x 15 x 9 = 1080

120 + 135 + 1080 = 1335 possibilities

Answer:

Step-by-step explanation:

STARTER + MAIN:

8 x 15 = 120

MAIN + DESSERT:

15 x 9 = 135

STARTER + MAIN + DESSERT:

8 x 15 x 9 = 1080

120 + 135 + 1080 = 1335 possibilites

Answer:

The value of z test statistic is 2.871.

Step-by-step explanation:

We are given that a software firm survey of 564 randomly selected adults showed that 56​% of them would erase all of their personal information online if they could. Find the value of the test statistic.

Let p = population proportion of adults who would erase all of their personal information online if they could.

So, Null Hypothesis, [tex]H_0[/tex] : p [tex]\leq[/tex] 50%      {means that adults who would erase all of their personal information online if they could is less than or equal to 50%}

Alternate Hypothesis, [tex]H_A[/tex] : p > 50%     {means that majority of adults would erase all of their personal information online if they could}

The test statistics that would be used here One-sample z test for proportions;

                            T.S. =  [tex]\frac{\hat p-p}{\sqrt\frac{\hat p(1-\hat p)}{n} {} }[/tex]  ~ N(0,1)

where, [tex]\hat p[/tex] = sample proportion of adults who would erase all of their personal information online if they could = 56%

           n = sample of adults taken = 564

So, the test statistics  =  [tex]\frac{0.56-0.50}{\sqrt\frac{0.56(1-0.56)}{564} {} }[/tex]

                                       =  2.871

The value of z test statistic is 2.871.

Answer:

The answer 28.27 *2 = 56.54

Step-by-step explanation:

A= πr^2

The area of Maria's circle, which is double the area of circle G is: 56.52 sq. cm.

Given:

Radius (r) of circle G = 3 units

Area of circle G = π(3²) = 28.26 sq. units.

Area of Maria's circle = 2(area of circle G)

Therefore:

Area of Maria's circle = 2(28.26)

Area of Maria's circle = 56.52 sq. cm.

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Answer:

a) MA conditional with C can be interpreted as A which is known and C which is unknown match

b) 10/11

c) 2/11

Step-by-step explanation:

A={A is the guilty party}

[tex]M_A[/tex] = {A blood type matches that of the guilty party}

C = {B is the guilty party}

[tex]M_C[/tex] = {B blood type matches that of the guilty party}

a) The chance is 10% because MA conditional with C can be interpreted as A which is known and C which is unknown match

b) the probability that A is the guilty party is given by [tex]P(A/M_A)[/tex]. Using bayes theorem:

[tex]P(A/M_A)=\frac{P(M_A/A)P(A)}{P(M_A/A)P(A)+P(M_C/C)P(C)} =\frac{1*1/2}{(1*1/2)+(1/10*1/2)} =\frac{10}{11}[/tex]

c) the probability that B’s blood type matches that of the guilty party is given as [tex]P(M_C/M_A)[/tex]. Using LOTS Therefore:

[tex]P(M_C/M_A)=P(M_C/M_A,A)P(A/M_A)+P(M_C/M_A,A)P(C/M_A)=\frac{1}{10}*\frac{10}{11} +1*\frac{1}{11} =\frac{2}{11}[/tex]

Answer:

x = -1

Step-by-step explanation:

15+3x=3(2−2x)

Distribute

15+3x = 6 -6x

Add 6x to each side

15+3x+6x = 6-6x+6x

15+9x = 6

Subtract 15 from each side

15-15+9x = 6-15

9x = -9

Divide by 9

9x/9 = -9/9

x = -1

Answer:

ummm I would say a angle of 7.65

Step-by-step explanation:

Answer:

7.65

Step-by-step explanation:

Answer:

a) [tex] t_{\alpha}= 1.753[/tex]

b) [tex] t_{\alpha}= -1.383[/tex]

c) [tex] t_{\alpha/2}= \pm 2.179[/tex]

Step-by-step explanation:

Part a

For this case we know that the degrees of freedom are:

[tex] df = 15[/tex]

And we want a right tailed test so then we need to find in the t distribution with degrees of freedom =15 a critical value who accumulate 0.05 of the area in the right and we got:

[tex] t_{\alpha}= 1.753[/tex]

Part b

For this case the significance is [tex]\alpha=0.1[/tex] the degrees of freedom are:

[tex] df = n-1= 10-1=9[/tex]

And since is a left tailed test the critical value for this case would be:

[tex] t_{\alpha}= -1.383[/tex]

Part c

For this case the significance is [tex]\alpha=0.05[/tex] and [tex]\alpha/2=0.025[/tex] the degrees of freedom are:

[tex] df = n-1= 13-1=12[/tex]

And since is a two tailed test the critical values for this case would be:

[tex] t_{\alpha/2}= \pm 2.179[/tex]

Answer: w = -3u/2  +  2

Step-by-step explanation:

-12u + 13 = 8w - 3

-12u + 13 + 3 = 8w -3 + 3

-12u + 16 = 8w

w = -3u/2   +   2

Answer:

12

Step-by-step explanation:

Seema’s little sister is 2 years more than ¼ of Seema’s age, so you should subtract 2 from 5 to find ¼ of Seema’s age. If 3 is ¼ of Seema’s age, all you do is multiply it by 4 to get the original number. 3x4 is 12, so the final answer is that Seema is 12.

Answer:

The volume of the cube is 1/2 x 1/2 x 1/2 = 1/8

length x width x height = volume

1x2x2.5=5

2 1/2 = 2.5 because 1/2=0.5

to divide fractions multiply the reciprocal. The reciprocal is the fraction flipped over

5 / 1/8 = 5 x 8/1

5x8/1=40

40 cubes

Step-by-step explanation:

Answer:

x = 30°

y = 60°

z = 96°

Step-by-step explanation:

Well the angle from the center that intercepts 120° is equal to 120° since it is a central angle.

y = 60° because oof supplementary angles.

The measure of z is 48 * 2 because the 48° is an inscribed angle.

z = 96°

And, the arc that angle y intercepts is also the arc the x intercepts.

That arc is 60° because 180° - 120° = 60°

x is an inscribed angle, so x = 1/2 * 60°

x = 30°

Hope this helps.