Your friend decides to flip a coin repeatedly to analyze whether the probability of a head on each flip is one half . He flips the coin 15 times and observes a head 6 times. He concludes that the probability of a head for this coin is 6/15 = 0.40 and the coin is not balanced. What is a correct interpretation?
A. Probability doesn't prove anything about the coin because probability is subjective.
B. A coin is balanced as long as the probability of each outcome is closer to 0.5 than it is to 1 or 0.
C. Environmental conditions such as temperature and humidity can cause the results of flipping a balanced coin to be skewed and thus appear unbalanced.
D. In the short run, the proportion of a given outcome can fluctuate a lot. A long run of observations is needed to accurately calculate the probability of flipping heads.

Answer:

yes

Step-by-step explanation:

hello,

as we have

[tex](x-1)^7[/tex]

the zero 1 is repeated 7 times

hope this helps

Answer:

  yes

Step-by-step explanation:

The exponent on each factor tells you the number of times it is repeated. The zero represented by the factor (x -1)⁷ is repeated 7 times.

__

When a zero is repeated, the graph is flattened there. The more times it is repeated, the "flatter" the function is at that point. If the repeat-count is even, the graph touches the axis, but does not cross. Here, the repeat-count is odd, so the graph flattens out at the x-intercept, and crosses the x-axis.

Answer:

Answer D (the fourth one)

Step-by-step explanation:

First, we need to set up a (y−k)^2=4p(x−h). After plugging in all of your values, you would get (x-5)^2=-4(y-1). Now, we need to solve in terms of y by dividing each side by the factors that don't contain the variable. Your final solution should be [tex]y = -\frac{1}{4}(x - 5^{2}) + 1[/tex]

The equation is y = −one fourth(x − 5)2 + 1.

This form is called the usual shape of a quadratic function. The graph of the quadratic feature is a U-shaped curve is known as a parabola. The graph of the equation y=x2, shown under, is a parabola.

In trendy shape, the “a” cost represents the identical element because it does in vertex shape. Just as noted earlier than, it dictates the path of the parabola's commencing. If a > zero the parabola opens upwards, resulting in a minimal price. If a < zero, however, the parabola opens downwards, resulting in a maximum price.

Learn more about the equation of a parabola here https://brainly.com/question/4148030

#SPJ2

Answer:

3/4

Step-by-step explanation:

Rise over run.

Go up 3 units and 4 units to the right to find the next point

Answer:

Using points ( 8 , 9 ) and ( 4 , 6)

Slope = 6-9/4-8

= -3/-4

= 3/4

Hope this helps

Answer:

Step-by-step explanation:

There are two ways to find the value of X

[tex]x + 35 = 180[/tex] ( sum of co-interior angles)

Move constant to R.H.S and change its sign

[tex]x = 180 - 35[/tex]

Calculate the difference

[tex]x = 145[/tex]°

You can use another way too.

[tex]x = 145[/tex]° ( being vertically opposite angles)

Vertically opposite angles are always equal.

Hope this helps...

Best regards!!

Answer:

x = 145°

Step-by-step explanation:

Vertically opposite, also interior angles always add up to 180° so if you want to double check this, do 145° + 35° you should get 180°

I hope this helped you :)

Answer:

Explained below.

Step-by-step explanation:

A statistical hypothesis test is being performed to determine whether there was a significant difference in the type of primary residence (home vs. student housing) for abused versus non abused college aged women.

The hypothesis can be defined as:

H₀: There is no difference in the type of primary residence or abused versus non abused college aged women.

Hₐ: There is a significant difference in the type of primary residence or abused versus non abused college aged women.

The significance level of the test is:

α = 0.05

The computed p-value is:

p-value = 0.35

p-value = 0.35 > α = 0.05

The null hypothesis will not be rejected.

The p-value is inversely related to the sample size of the test.

That is, larger the sample size smaller is the p-value and smaller the sample size larger is the p-value.

A p-value of 0.35 is very large and unusual. This can happen because of the inadequate sample size selected.

As the p-value indicates an unusual result, it can be said that an error has been made while concluding that the null hypothesis is true, when in fact it is not.

This type of error is known as the type II error.

The correct decision should be:

There is a statistically significant difference in the type of primary residence for abused vs. non-abused college aged women.

Answer:

1. Is (A) Subtract 2 to both sides

2. Is (C)

Step-by-step explanation:

Answer:

first thing, take 3 pairs of equations and in each pair, make any one variable's coefficient equal to the coefficient of the same variable in the other equation and subtract the equations.

you will get 3 different equations:  

x+y = 1

- 4x - 21z = 72

-x + 3z = -10 (simplified)

now take the value of x and y from equation 2 and 3 in terms of z and substitute x and y with those values

y = (72 + 21z)/-4

x = 3z + 10

as x + y = 1

you will get z = -4 after sloving the equation

now you have the value of one of the variables..

now we will substitute z in the equations to get the other variables

x = 3z + 10

x = 3(-4) + 10

x = -12 + 10

x = -2  

Now y:

72+21(-4)/-4

(72 - 84)/-4

-12/-4

y  = 3

so,

z = -4

x = -3

y = 3

I assume that it's brainly enough

Answer:

x= -2, z= -4

Step-by-step explanation:

-3x-2y+4z = -16

10x+10y-5z=30 ⇒ 2x+2y-z=6 ⇒ 14x+14y-7z=42

5x+7y+8z=-21 ⇒ 10x+14y+16z= -42

Add up the first one with the second:

-3x-2y+4z = -16

+

2x+2y-z=6

-------

-x+3z= -10 ⇒ x= 3z+10

Subtract the last one from the second:

14x+14y-7z=42

-

10x+14y+16z= -42

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

Replace x with 3z+10

The table of this question is in the attachments.

Answer and Step-by-step explanation: Standard deviation is a measure of how spread the data is from the mean. It is calculated as:

s = √∑(x - μ)² / n - 1

where μ is the mean of the set.

Range is the difference between the highest and lowest value of a data set.

(a) Range of Traditional course:

range = 80.4 - 56

range = 24.4

Range of "flipped" course:

range = 92.6 - 63.5

range = 29.1

Comparing ranges, the "flipped" course has more dispersion than the traditional.

(b) Standard Deviation of Traditional course:

mean = 71.6

s = [tex]\sqrt{\frac{(70.3 - 71.6)^{2}+...+(59.1-71.6)^{2}}{13-1}[/tex]

s = 8.95

Standard Deviation of "flipped" course:

mean = 77.6

s = [tex]\sqrt{\frac{(75.5 - 77.6)^{2}+...+(76.9-77.6)^{2}}{13-1}[/tex]

s = 8.3

Comparing standard deviation, traditional course has more dispersion.

(c) If you change one score, range for traditional will be:

range = 591 - 56

range = 535

Changing one score increase in almost 22 times the range for this category.

Answer:

10 and 5.

Step-by-step explanation:

Let the integers be x and y.

xy = 50

x = 2y

Put x as 2y in the first equation.

(2y)y = 50

2y² = 50

y² = 50/2

y² = 25

y = √25

y = 5

Put y as 5 in the second equation.

x = 2(5)

x = 10

Answer:

a. $240.03

b. $43,205.04

c. Principal = 46.29%

   Interest = 53.71%

Step-by-step explanation:

The computation is shown below:

a. For computing the monthly payment we need to apply the PMT formula i.e to be shown in the attachment below

Given that,  

Present value = $25,000

Future value or Face value = 0

RATE = 12% ÷ 12 months = 1%

NPER = 15 years × 12 months = 180 months

The formula is shown below:  

= PMT(RATE;NPER;-PV;FV;type)  

The present value come in negative  

So, after applying the above formula the monthly payment is $240.03

b. Now the total amount paid is

= Monthly payment × time period

= $240.03 × 180 months

= $43,205.04

c. Now the percentage is

For principal

= $25,000 ÷ $43,205.04 × 100

= 46.29%

And, for the interest, it is

= 100% - 46.29%

= 53.71%

Answer:

Graph A

Step-by-step explanation:

Lori is riding in a circular track in which Teri is standing at the center. With the passage of time, there would be no effect on the distance between Lori and Teri. The distance will remain the same because Teri is not moving. She is standing still. So consider her the center of a circle whose circumference is Lori riding bicycle while the radius at any point will be equal.

Answer:

1/6

Step-by-step explanation:

P(8) = number of 8's / total = 1/3

Then keeping the card so we have 7 and 9

P(7) =  number of 7's / total = 1/2

P(8, keep, 7) = 1/3 * 1/2 = 1/6

Answer:

2400

Step-by-step explanation:

using simple ratio

we have Account A : account B as

8:12

2:3 .....the 8% account gets

2/5 × 6000

= 2× 1200 = 2400

Answer:

x = 1

y = 4

Step-by-step explanation:

5x + 2y = 13

x + 2y = 9

Add both equations.

6x + 4y = 22

Solve for x.

6x = 22 - 4y

x = 22/6 - 4/6y

Put x as 22/6 - 4/6y in the second equation and solve for y.

22/6 - 4/6y + 2y = 9

-4/6y + 2y = 9 - 22/6

4/3y = 16/3

y = 16/3 × 3/4

y = 48/12

y = 4

Put y as 4 in the first equation and solve for x.

5x + 2(4) = 13

5x + 8 = 13

5x = 13 - 8

5x = 5

x = 5/5

x = 1

Answer:

x = 1, y = 4

Step-by-step explanation:

5x+2y = 13

x+2y = 9

Subtracting both equations

=> 5x+2y-x-2y = 13-9

=> 4x = 4

=> x = 1

Now, Putting x = 1 in the first equation

=> 5(1)+2y = 13

=> 2y = 13-5

=> 2y = 8

=> y = 4

Answer:

325/78 = 4 13/78 miles per hour

Step-by-step explanation:

Total distance for Gilda to travel = 650 miles

Speed used for the journey= 50 miles per hour

Time taken = distance/speed

Time taken = 650/50

Time taken = 13 hours

Then how many miles per hour in essence what will be her speed in other for the journey to last less than one hour of her journey , that is 13 -1 = 12 hours

Speed = distance/time

Speed= 650/12

Speed= 54.1667 miles per hour

She would have gone

=650/12 -650/13

=(8450-7800)/156

=650/156

= 325/78

= 4 13/78

Answer:

[tex]3.2*10^2=320[/tex] mph

Step-by-step explanation:

hello,

it travels [tex]8.0*10^2[/tex] miles in 2.5 hours

So in 1 hours it travels

[tex]\dfrac{8.0*10^2}{2.5}=3.2*10^2[/tex]

miles

hope this helps

Answer:

hyg

Step-by-step explanation:

Answer:

First, you put the answer in slope intercept form,y=-7+4x. You substiuite which is going to be y-4x+4x=-7+4x. You simplify to y=-7+4x. You plug that into the other equation and solve. It turns out to be y= -59/9, and x=1/9. Hope this helps!

Answer:

y - 4x = -7 ...... 1

5x+y=-6 ......... 2

Make y the subject in equation 1

Thus

y = - 7 + 4x

Substitute this into Equation 2

We get

5x - 7 + 4x = - 6

9x = -6 + 7

9x = 1

x = 1/9

Substitute x = 1/9 into equation 1

y = -7 + 4x

y = - 7 + 4(1/9)

y = -7 + 4/9

y = - 59/9

x = 1/9 , y = -59/9

Hope this helps

Answer: 0.003757(approx).

Step-by-step explanation:

Total number of combinations of selecting r things out of n things is given by:-

[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

Total cards in a deck = 52

Total number of ways of choosing 8 cards out of 52 = [tex]^{52}C_8[/tex]

Total number of ways to choose 5 clubs and 3 cards with one of each remaining suit = [tex]^{13}C_5\times^{13}C_1\times^{13}C_1\times^{13}C_1[/tex]  [since 1 suit has 13 cards]

The required probability = [tex]=\dfrac{^{13}C_5\times^{13}C_1\times^{13}C_1\times^{13}C_1}{^{52}C_8}[/tex]

[tex]=\dfrac{\dfrac{13!}{5!8!}\times13\times13\times13}{\dfrac{52!}{8!44!}}\\\\=\dfrac{24167}{6431950}\\\\\approx0.003757[/tex]

Hence, the required probability is 0.003757 (approx).

Answer:

18

Step-by-step explanation:

The average is  found by adding all the numbers and dividing by 5

(2+ 81+ 29+ 18+ x)/5 = 26.8

Multiply each side by 5

(2+ 81+ 29+ 18+ x) = 134

x+130 =134

Subtract 130 from each side

x = 4

Now we want the median

List the numbers in order from smallest to largest

2,4,18,29 ,81

The median is the middle

Answer:

x = 4, Median = 18

Step-by-step explanation:

Since the Average/Mean is 26.8

So,

Mean = [tex]\frac{Sum Of Observations}{Total No.OfObservations}[/tex]

26.8 = [tex]\frac{2+81+29+18+x}{5}[/tex]

=> 26.8*5 = 130 + x

=> 134 = 130 + x

Subtracting 130 to both sides

=> x = 134-130

=> x = 4

Now, The data becomes:

=> 2,81,29,18,4

In ascending order:

=> 2,4,18,29,81

Finding Median (The middlemost no.)

=> 18

Answer:

Option 2.

Step-by-step explanation:

The first term is already given as -2.

Therefore, the options 1 and 4 are wrong.

The nth term has 3 multiplied.

-2 × 3 = -6

-6 × 3 = -18

-18 × -54

The answer is not option 3, because that sequence has no common difference or ratio.

Therefore, the answer is option 2.

Answer:

h = 9 ft  

Step-by-step explanation:

Assume the diagram is like the one below.

∆ABD is a right triangle.

We can use Pythagoras' Theorem to find the height h.

[tex]\begin{array}{rcl}h^{2} + 40^{2} & = & 41^{2}\\h^{2} + 1600 & = & 1681\\h^{2} & = & 1681 - 1600\\& = &81\\h& = & \sqrt{81}\\&=& \mathbf{9}\end{array}\\\text{The height of the gable is $\large \boxed{\textbf{9 ft}}$}[/tex]

Answer:

85%

Step-by-step explanation:

Given data

Exam score earned by student = 87

class average = 78

s = 8.69

Calculate the percentage of people that earned a score below your score

P ( z < 1.04 ) = 0.8508 = 85%

Note : Z ( z score ) = (exam score - class average) / s

                   = (87 - 78) / 8.69 = 1.04

Answer:

900°

Step-by-step explanation:

interior angles of a polygon = (n−2)×180°, where n is number of sides

for heptagon it is: (7-2)×180°= 900°

Answer:

There is no mode

Step-by-step explanation:

Mode is the most occurring no. and there's no number which is the most occurring.

Answer:

No mode

Step-by-step explanation:

In a set of numbers, mode is the most repeated number.

1, 4, 24, 14, 98, 37

There are no repeated numbers in this set.

Answer:

-1/4 , -1

Step-by-step explanation:

I solved it using Factorization method and Quadratic Equation .

Factorization Method

[tex]4x^2+5x+1=0\\Write +5x- as- a -difference(write+5x-using- two- numbers -in-which-their-sum-is ; 5-and-their-product-is ; 4)\\4x^{2} +4x+1x+1=0\\Factorize-out-common-terms\\4x(x+1)+1(x+1)=0\\Factor-out-(x+1)\\(4x+1)(x+1)=0\\4x+1 =0 \\x+1=0\\4x=0-1\\x =0-1\\4x =-1\\x =-1\\4x=-\frac{1}{4} \\\\Answer = -1/4 , -1[/tex]

Quadratic Equation

[tex]4x^2+5x+1=0\\a = 4\\b =5\\c = 1\\\\x =\frac{-b\±\sqrt{b^2 -4ac} }{2a} \\\\x = \frac{-(5)\±\sqrt{(5)^2-4(4)(1)} }{2(4)} \\\\x = \frac{-5\±\sqrt{25-16} }{8} \\\\x = \frac{-5\±\sqrt{9} }{8} \\\\x = \frac{-5\±3}{8} \\\\x =\frac{-5+3}{8} \\\\x = \frac{-5-3}{8} \\\\x = \frac{-2}{8} \\\\x = \frac{-8}{8} \\\\x = -\frac{1}{4} \\x=-1[/tex]

Answer: The second image, the second image where b' is right above b is the correct answer for this, hope this helped!

<!> Brainliest is appreciated! <!>

Step-by-step explanation:

Answer

i woukldnt know

Step-by-step explanation:

ahahahahahahahahahahahahhahahahahaha

Step-by-step explanation:

y = [tex]{\log_b x}[/tex]

if x =4 then y = [tex]{\log_b 4}[/tex] =-1 --> [tex]b^{-1}[/tex] =4 --> b= 1/4

Answer:

b = 1/4

Step-by-step explanation:

It has to be a log because for x=0, b⁰ should be 1 for every b and that is not the case here.

Remember that [tex]y = \log_bx[/tex] means that [tex]b^y=x[/tex].

Since the point (4,-1) seems to be on the line, we can solve:

b⁻¹ = 4

so b = 1/4

Answer:

5.4

Step-by-step explanation:

15% = 15/100 = 0.15

0.15 × 36 = 5.4

Answer = 5.4

Answer:

5.4

Step-by-step explanation:

→ To find one percentage of another, I first multiply both numbers together then divide by 100

15 × 36 = 540

→ Divide by 100

540 ÷ 100 = 5.4