Ty’s experimental probability of winning a certain game is 1/3. Jana’s expiremental probability of winning the same game is 3/4. If Ty and Jana each played the game 120 times, how many more games would Jana expect to win over Ty?

Answer:

The number is -2

Step-by-step explanation:

12 less than 7 times a number can be express as follows,

let the number = a

7a - 12

According to the question the number 7a - 12 is equals to 32 less than the product of - 3 and the number.

32 less than the product of -3 and the number can be express below.

-3a - 32. Therefore,

7a - 12 = -3a - 32

collect like terms

7a + 3a = - 32 + 12

10a = -20

divide both sides by 10

a = -20/10

a = -2

The number is -2

I think these are the answers:

a) 12 outcomes

b) 1/12

c) 1/6

Answer:

48

Step-by-step explanation:

This is a linear equation, it goes as follows:

[tex]105(x) - 95(x) = 480[/tex]

x stands for hours.

Solving for x yields 10.

Keep in mind that 105 and 95 are miles per hour where 480 is miles. So multiplying [tex](\frac{miles}{hours}) (hours)[/tex] gives off hours which is what we are looking for.

Hope this helps.

Answer:

we need picture

Step-by-step explanation:

Answer:

G 0.04 Times D

Step-by-step explanation:

Answer:

5 ≥ p

Step-by-step explanation:

Add 5 to both sides:

0 ≥ p - 5

+5      + 5

________

5 ≥ p

Answer:

p <= 5

Step-by-step explanation:

Let's solve your inequality step-by-step.

0≥p−5

Step 1: Flip the equation.

p−5≤0

Step 2: Add 5 to both sides.

p−5+5≤0+5

p≤5

Answer:

p≤5

Answer:

45p

Step-by-step explanation:

9p(5)

9p*5=45p

Please let me know if this wasn't how your problem was suppose to look

Answer:

(A) The value of t test statistics is 2.767 and P-value is 0.0042.

(B) We conclude that the mean of first group is greater than the mean of second group.

Step-by-step explanation:

We are given the following hypothesis below;

Null Hypothesis, [tex]H_0[/tex] : [tex]\mu_1=\mu_2[/tex]      {means that the mean of first group is equal to the mean of second group}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu_1>\mu_2[/tex]      {means that the mean of first group is greater than the mean of second group}

The test statistics that would be used here Two-sample t-test statistics as we don't know about population standard deviation;

                            T.S. =  [tex]\frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } }[/tex]  ~ [tex]t__n__1-_n__2-2[/tex]

where, [tex]\bar X_1[/tex] = sample mean of first group = 56

[tex]\bar X_2[/tex] = sample mean of second group = 51

[tex]s_1[/tex] = sample standard deviation of first group = 8.2

[tex]s_2[/tex] = sample standard deviation of second group = 6.9

[tex]n_1[/tex] = sample of first group = 30

[tex]n_2[/tex] = sample of second group = 40

Also, [tex]s_p=\sqrt{\frac{(n_1-1)s_1^{2} +(n_2-1)s_2^{2} }{n_1+n_2-2} }[/tex] = [tex]\sqrt{\frac{(30-1)\times 8.2^{2} +(40-1)\times 6.9^{2} }{30+40-2} }[/tex]  = 7.482

So, the test statistics  =  [tex]\frac{(56-51)-(0)}{7.482 \times \sqrt{\frac{1}{30} +\frac{1}{40} } }[/tex]  ~ [tex]t_6_8[/tex]

                                     =  2.767

(A) The value of t test statistics is 2.767.

Also, P-value of the test statistics is given by;

              P-value = P( [tex]t_6_8[/tex] > 2.767) = 0.0042

(B) Now, at 10% significance level the t table gives critical value of 1.295 at 68 degree of freedom for right-tailed test.

Since our test statistic is more than the critical values of t as 2.767 > 1.295, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the mean of first group is greater than the mean of second group.

Answer:

[tex]g(\frac{1}{2}) = 0.5[/tex]

The input is [tex]x = \frac{1}{2}[/tex] and the output is [tex]g(x) = g(\frac{1}{2}) = 0.5[/tex]

Step-by-step explanation:

Suppose we have a function g(x) = a. The input is the value of x and the output is the value of g.

In this question:

[tex]g(x) = 2x^{2}[/tex]

We want g(1/2) = g(0.5). So

[tex]g(0.5) = 2*(0.5)^{2} = 2*0.25 = 0.5[/tex]

[tex]g(\frac{1}{2}) = 0.5[/tex]

The input is [tex]x = \frac{1}{2}[/tex] and the output is [tex]g(x) = g(\frac{1}{2}) = 0.5[/tex]

Answer:

2

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Coin # 1 - 2 outcomes

Coin # 2 - 2 outcomes

Number cube - 6 outcomes

Total outcomes: 2 x 2 x 6 = 24

However, if “heads and tails” is considered the same as “tails and heads” (order doesn’t matter):

Coins outcomes: 3

Cube outcomes: still 6

Total outcomes: 18

Answer:

[tex] \frac{337}{4} [/tex]

Step-by-step explanation:

[tex]84 \frac{1}{4} = \frac{84 \times 4 + 1}{4} = \frac{336 + 1}{4} = \frac{337}{4} [/tex]

Answer:

Yes

Step-by-step explanation:

Given the system of equations

[tex]\begin{aligned} &y=2x +1 \\\\ &x-y=-3 \end{aligned}[/tex]

We want to determine if (2,5) is a solution of the system.

We can do this by substitution of the given point into the equations and see if it holds.

Given (x,y)=(2,5), x=2, y=5

In the first equation

y=2x+1

5=2(2)+1

5=5

Therefore, the point (2,5) satisfies the first equation.

In the second equation

[tex]x-y=2-5=-3[/tex]

Since our result (-3) is equal to the Right Hand Side, the point also satisfies the second equation.

Therefore, (2,5) is a solution of the system.

A parallelogram

P=2(a+b)

The answer is 64

P=2(a+b)=2·(24+8)=64

Answer:

Step-by-step explanation:

Money markets accounts offer a annual percentage yield which is higher compared to other types of savings accounts

These accounts also require a higher minimum deposits to get a higher rate

These accounts may also be insured and secured by the Federal Deposit Insurance Corp in banks and the National Credit Union Administration in credit unions.

They are also relatively easy to access.

C = π d

C = (22/7) × (35/2) = (22/2)(35/7) = 11(5) =55

Answer: 55, second choice

Step-by-step explanation:

It is the solution. Mark as brainlist.

Answer:

π∫52(ey3)2dy

The work I did to solve this equation:

Step 1

ln(3x)=2

3x=2e

x=2e3

Step 2

ln(3x)=5

3x=5e

x=5e3

Step 3

y=ln(3x)⟺ey=3x⟺ey3=x

Step 4

π∫52(ey3)2dy

Answer:

i will explain :)

Step-by-step explanation:

there are three people. a grandfather, a father, and a son. the grandfather is the father of the father, and the father is the father of the son (if that makes any sense). the father is the son of the grandfather, and son is the son of the father. so technically while there are 2 sons and 2 fathers, there are still three people. :)

three people. a grandfather, a father, and a son.

Answer:

4. A unique solution exists in the region consisting of all points in the xy-plane except the origin.

Step-by-step explanation:

Given:

[tex] (x^2 + y^2)y' = y^2[/tex]

Solving the differential equation, we have:

[tex] \frac{dy}{dx} = \frac{y^2}{x^2 + y^2}[/tex]

Thus, except at (0,0), for all real values of x and y, the function[tex] \frac{y^2}{x^2 + y^2}[/tex] is defined.

The (0,0) values of x&y causes the denominator to be 0, so the function is not defined at this (0,0) condition.

Therefore,

[tex] \frac{d}{dy} \frac{y^2}{x^2 + y^2} = \frac{x^2 + y^2 (2y) - y^2 (2y)}{(x^2 + y^2)^2} [/tex]

[tex] = \frac{2x^2y + 2y^3 - 2y^3}{(x^2 + y^2)^2} [/tex]

[tex] = \frac{2x^2y}{(x^2 + y^2)^2} [/tex].

Apart from the point of origin (0,0), this is continuous.

This means a unique solution exists in the region consisting of all points in the xy-plane except the origin.

Answer:

(C) Sample: the 120 students surveyed. Population: the 1200 students at the high school. Parameter of interest: the average number of hours a student at this high school sleeps per night.

Step-by-step explanation:

The correct answer is (C). The sample is a subset of the population, and the parameter is a characteristic of the population of interest.

Answer:

b

Step-by-step explanation:

Answer:

3,400

Step-by-step explanation

Move the decimal place 3 times to the right (the number of zero's is how many places you go)

Answer:

3400

Step-by-step explanation:

3.4x 1,00=3400

Answer:  3.5 pounds

Step-by-step explanation:

17+12.5=29.5

33-29.5=3.5

Answer:

The coordinates of point B are (-2, 2)

Step-by-step explanation:

We have two points: A and C.

The coordinates for A are (2, -8) and the coordinates for C are (-4, 7).

We have to find the coordinates of the point B, that satisfies the condition that the distance AB is 2 times the distance BC.

We also know that B is a point of the line AC.

We can calculate the line AC as a linear function y=mx+b.

The slope m is:

[tex]m=\dfrac{y_c-y_a}{x_c-x_a}=\dfrac{7-(-8)}{-4-2}=\dfrac{15}{-6}=-2.5[/tex]

Then, the y-intercept b can be calculated using the coordinates of one of the points, in this case point A:

[tex]y=-2.5x+b\\\\b=y_a+2.5x_a=-8+2.5*2=-8+5=-3[/tex]

Then, we know that B is a point of the linear function y=-2.5x-3, within the range x ∈ (-4; 2).

To have a ratio AB to BC of 2 to 1, we can divide the length of the line AC in 3 parts, and the point B will be located in the  end of the segment nearer to point C.

In the picture attached, you can see the division of the segment AC in three parts and the location of point B=(x, y).

Applying the Thales theorem, we can divide the segment in the y-axis in three and calculate y, and the same for the x-axis.

Then, the coordinate y for the point B is:

[tex]y=y_c-(y_c-y_a)/3\\\\y=7-[7-(-8)]/3=7-15/3=7-5=2\\\\\\x=x_c-(x_c-x_a)/3\\\\x=-4-(-4-2)/3=-4-(-6)/3=-4+2=-2[/tex]

Then, the point B has coordinates (-2, 2).

We can verify the distances as:

[tex]AB=\sqrt{(2-(-2))^2+((-8)-2)^2}=\sqrt{16+100}=\sqrt{116}\\\\\\BC=\sqrt{((-2)-(-4))^2+(2-7)^2}=\sqrt{4+25}=\sqrt{29}\\\\\\\dfrac{AB}{BC}=\dfrac{\sqrt{116}}{\sqrt{29}}=\sqrt{\dfrac{116}{29}}=\sqrt{4}=2[/tex]

Answer: (-2,2)

Step-by-step explanation:

Formula for circumference that involves the radius ⇒ C = 2πr

Since we are given that the circumference is 86 cm, substitute it in.

86 = 2πr

Now, π is equal to approximately 3.14 so we can

plug 3.14 in for π and we have 86 cm = 2(3.14)r.

Now solve the equation.

2(3.14) is 6.28 and we have 86 cm = 6.28r.

Now divide both sides by 6.28 and we have 13.6942 = r.

So the radius of the hula hoop is 13.6942 cm.

Answer:

43

Step-by-step explanation:

Answer:

factoring

Step-by-step explanation:

Answer:

Quadratic formula is the best

Answer :S/5 = 28

Step-by-step explanation:

Answer:

36 ÷ 3 = j

Step-by-step explanation:

The quotient of 36 and 3 is '36 ÷ 3'.

'Is j' would be '= j'.

Put it together, and you get:

36 ÷ 3 = j

'j = 12'

[tex]\frac{36}{3} = j\\\\\text {Divide the two numbers: }36/3 = 12\\\boxed {12=j}[/tex]

Brainiest Appreciated

Answer:

[tex]z=\frac{(3.2-3.4)-0}{\sqrt{\frac{0.141^2}{60}+\frac{0.224^2}{60}}}}=-5.85[/tex]  

The p value can be calculated with this probability:

[tex]p_v =2*P(z<-5.85)=4.91x10^{-9}[/tex]  

The p value for this case is a value very low and near to 0 so then we have enough evidence to reject the null hypothesis and we can conclude that the true means for this case are significantly different

Step-by-step explanation:

Information provided

[tex]\bar X_{1}=3.2[/tex] represent the mean for sample A

[tex]\bar X_{2}=3.4[/tex] represent the mean for sample B  

[tex]\sigma_{1}=\sqrt{0.02}= 0.141[/tex] represent the sample standard deviation for A

[tex]s_{2}=\sqrt{0.05}= 0.224[/tex] represent the sample standard deviation for B

[tex]n_{1}=60[/tex] sample size for the group A

[tex]n_{2}=60[/tex] sample size for the group B  

[tex]\alpha=0.05[/tex] Significance level provided

z would represent the statistic

Hypothesis to test

We want to verify if that there is a difference in the interest rates paid by the two states, the system of hypothesis would be:  

Null hypothesis:[tex]\mu_{1}-\mu_{2}=0[/tex]  

Alternative hypothesis:[tex]\mu_{1} - \mu_{2}\neq 0[/tex]  

The statistic for this case since we know the population deviations is given by:

[tex]z=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}[/tex] (1)  

Replacing the info given we got:

[tex]z=\frac{(3.2-3.4)-0}{\sqrt{\frac{0.141^2}{60}+\frac{0.224^2}{60}}}}=-5.85[/tex]  

The p value can be calculated with this probability:

[tex]p_v =2*P(z<-5.85)=4.91x10^{-9}[/tex]  

The p value for this case is a value very low and near to 0 so then we have enough evidence to reject the null hypothesis and we can conclude that the true means for this case are significantly different

Answer:

3x (x² + x + 1)

You could write any trinomial like this

Answer:

476ft^3

Step-by-step explanation:

Base area =length × width

= 7 × 4 = 28ft^2

Volume = base area × height

= 28 × 17 = 476ft^3

Answer:

Y-3 = 2(x+1)

open the brackets

Y-3 = 2x+2

Y = 2x+5..... this is the answer when solving for Y

if were solving for x:

Y-3 = 2x+5

Y-8 = 2x

[tex]\frac{y}{2} -4 = x[/tex]