The ratio of girls to boys in Liza’s classroom is 5 to 4How many girls are in her classroom if there is a total of 27
students?

1. 12
2. 9
3. 54
4. 15

Answers

Answer 1
Answer: Answer is 4.) 15 girls.

If you go 27-5-4=18
               18-5-4=9
                 9-5-4=0
so 5+5+5 (because it's 5 girls to 4 boys, only count the 5's) =15 

Hope this helps! :)
Answer 2
Answer:

Answer:

2.9

Step-by-step explanation:


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Given a test statistic of t=2.315 of a left tailed test with n=8

Answers

Answer:

Null hypothesis: \mu =110

Alternative hypothesis:\mu \neq 110

The sample size on this case is n=8, then the degrees of freedom are given by:

df = n-1= 8-1=7

The statistic is given by:

t= (\bar X -\mu)/((s)/(√(n)))

For this case the value of the statistic is given t = 2.315

Since we are using a bilateral test the p value would be given by:

p_v = 2*P(t_(7)>2.315) =0.054

And we can use the following excel code to find it:

"=2*(1-T.DIST(2.315;7;TRUE))"

Since the p value is higher than the significance level given we FAIL to reject the null hypothesis. And the best conclusion would be:

0.05<P-value <0.10, fail to reject the null hypothesis

Step-by-step explanation:

Assuming this complete question :"Given a test statistic of t=2.315 of a left-tailed test with n=8, use a 0.05 significance level to test a claim that the mean of a given population is equal to 110.

Find the range of values for the P-value and state the initial conclusion 1 point) 0.05<P-value <0.10; reject the null hypothesis

0.05<P-value <0.10, fail to reject the null hypothesis

0.025 < P-value <0.05; reject the null hypothesis

0.025< P-value<0.05; fail to reject the null hypothesis"

For this case they want to test if the population mean is 110 or no, the systemof hypothesis are:

Null hypothesis: \mu =110

Alternative hypothesis:\mu \neq 110

The sample size on this case is n=8, then the degrees of freedom are given by:

df = n-1= 8-1=7

The statistic is given by:

t= (\bar X -\mu)/((s)/(√(n)))

For this case the value of the statistic is given t = 2.315

Since we are using a bilateral test the p value would be given by:

p_v = 2*P(t_(7)>2.315) =0.054

And we can use the following excel code to find it:

"=2*(1-T.DIST(2.315;7;TRUE))"

Since the p value is higher than the significance level given we FAIL to reject the null hypothesis. And the best conclusion would be:

0.05<P-value <0.10, fail to reject the null hypothesis

Solve each equation by factoring out the greatest common factor: 3n²+3n=0

Answers

3n (n+1) = 0 

3n = 0 or n+1 = 0
therefore, n =0, or n= -1


Jules kicks a soccer ball off the ground and into the air with an initial velocity of 25 feet per second. Assume the starting height of the ball is 0 feet. Approximately what maximum height does the soccer ball reach?0.8 ft

1.6 ft

9.8 ft

19.6 ft

Approximately, how long does it take until the soccer ball hits the ground again?

0.6 sec

0.8 sec

1.6 secs

2.8 secs

Answers

Answer:

Maximum height=9.8 ft and Time taken by soccer ball will be 0.8 secs

Step-by-step explanation:

Since, the ball kicked will take the motion of projectile, therefore using the equation: h(t)= at^(2) +vt+d, where h(t) is the height of the soccer ball, a is the acceleration whose value is -16 ft/sec^2 and v= 35 feet and d is the starting height which is equal to zero.

Therefore, h(t)=at^(2) +vt+d                                                     (1)

Differentiating this  equation with respect to t,

h^(')(t)= 2at+v

                      0   =2(-16)t+25

                     32t=25

                      t= 0.781sec

Substituting the value of t in equation (1),

h(t)=-16(0.781)^(2) +25(0.781)

           =(-16)(0.609)+19.525

           =9.766

           ≈9.8ft

Hence, option C is correct.

Now, In order to determine the time taken until the soccer ball hits the ground, we take the equation:

h(t)= at^(2) +vt+d

Since, when the ball hits the ground, the height will become equal to zero, therefore we have, h(t)=0

Now, h(t)= at^(2) +vt+d

0= -32.174t^(2) +25t

0=t(-32.174t+25)

Then, one solution is t=0 and the other is: 0=-32.174t+25

32t=25

t=(25)/(32.174)

t=0.777 sec

t0.8 sec

Hence, option B is correct.

Answer:

9.8 ft for the maximum height

1.6 sec for the time it’ll take for the ball to hit the ground again

I just took a test and it shows me what I got wrong alongside the correct answers. And this was a question it asked.

What is 15/8 as a mixed number

Answers

1 and 7/8 is the answer

In a lottery the first prize is $1,000,000. Each succeeding prize is 1/2 of the preceding prize. How much money is allotted in 7 prizes?

Answers

Second: $500,000
Third: $250,000
Fourth: $125,000
Fifth: $62,500
Sixth:$31,250
Seventh:$15,625
If you need the total just add

What is the slope of a line that is perpendicular to a line whose equation is −2y=3x+7 ?

Answers

The slope of a line that is perpendicular to a line whose equation is −2y = 3x + 7 is (2)/(3)

Solution:

Given that we have to find the slope of the line that is perpendicular to a line whose equation is −2y = 3x + 7

The slope intercept form is given as:

y = mx + c

Where "m" is the slope of line and "c" is the y - intercept

Given equation is:

-2y = 3x + 7\n\n-y = (3)/(2)x + (7)/(2)\n\ny = (-3)/(2)x - (7)/(2)

On comparing the above equation with slope intercept form,

m = (-3)/(2)

We know that product of slope of a line and slope of line perpendicular to it is -1

Therefore,

(-3)/(2) * \text{ slope of line perpendicular to it } = -1\n\n \text{ slope of line perpendicular to it } = (2)/(3)

Thus slope of line that is perpendicular to given line is (2)/(3)