The spinner shown below has 8 equal sections, labeled with A, B, C, or D. If Reggie spins the spinner, what is the probability that it will land on the letter D? Represent the probability as a decimal. The probability the spinner will land on the letter D is ____

Answer:

[tex](\frac{f}{g})(x) = \sqrt{x + 1}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \sqrt{x^2 - 1[/tex]

[tex]g(x) =\sqrt{x - 1[/tex]

Required

Find [tex](\frac{f}{g})(x)[/tex]

[tex](\frac{f}{g})(x)[/tex] is calculated as:

[tex](\frac{f}{g})(x) = \frac{f(x)}{g(x)}[/tex]

This gives:

[tex](\frac{f}{g})(x) = \frac{\sqrt{x^2 - 1}}{\sqrt{x - 1}}[/tex]

Apply difference of two squares on the numerator

[tex](\frac{f}{g})(x) = \frac{\sqrt{x - 1}*\sqrt{x + 1}}{\sqrt{x - 1}}[/tex]

[tex](\frac{f}{g})(x) = \sqrt{x + 1}[/tex]

Answer:

Step-by-step explanation:

Formula

t = 1.06 * p

Givens

p = 8.5

Solution

t = 1.06 * 8.5

t = 9.01

Answer:

1/5

Step-by-step explanation:

The Constraint is ; those who rode the bus, hence it is conditional because we aren't focused on students, only students who rode the bus.

Now we want the frequency of those who were late Given that they rode the bus : for these we have 3 students

Total number of students who rode the bus , total possible outcome = 15

Hence, the conditional frequency = (number who rode bus and were late / otal number who rode the bus)

Hence, we have ; 3 / 15 = 1 / 5

Answer:

24a^2 +50a+25

Step-by-step explanation:

Answer:

The null hypothesis is [tex]H_0: \mu = 99[/tex]

The alternate hypothesis is [tex]H_a: \mu > 99[/tex]

The test statistic is [tex]z = 0.31[/tex]

The pvalue of the test is 0.3783 > 0.05, which meas that the results are not significant at the 5% level.

Step-by-step explanation:

It is believed that the average amount of money spent per U.S. household per week on food is about $99. We want to test the hypothesis that the mean weekly food budget for all households in this community is higher than the national average.

At the null hypothesis, we test if the mean is the national average of 99, that is:

[tex]H_0: \mu = 99[/tex]

At the alternate hypothesis, we test if the mean is greater than the national average of 99, so:

[tex]H_a: \mu > 99[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

99 is tested at the null hypothesis:

This means that [tex]\mu = 99[/tex]

A random sample of 16 households in a certain affluent community yields a mean weekly food budget of $100. Standard deviation of $13.

This means that [tex]n = 16, X = 100, \sigma = 13[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{100 - 99}{\frac{13}{\sqrt{16}}}[/tex]

[tex]z = 0.31[/tex]

The test statistic is [tex]z = 0.31[/tex].

Determine if the results significant at the 5% level.

The pvalue of the test is the probability of finding a sample mean above 100, which is 1 subtracted by the pvalue of z = 0.31.

Looking at the ztable, z = 0.31 has a pvalue of 0.6217

1 - 0.6217 = 0.3783

The pvalue of the test is 0.3783 > 0.05, which meas that the results are not significant at the 5% level.

Answer:

x=6, y=-2. (6, -2).

Step-by-step explanation:

x+y=4

x-y=8

----------

2x=12

x=12/2

x=6

6+y=4

y=4-6

y=-2

Answer:

x = 114

Step-by-step explanation:

180 - 66 = x

x = 114

Have a nice day!

Answer:

40.5 m²

Step-by-step explanation:

Area of the shaded = area of the square - area of the triangle

Area of square = s²

s = 9 m

Area of square = 9² = 81 m²

Area of triangle = ½*b*h

b = 9 m

h = 9 m

Area of triangle = ½*9*9 = 40.5 m²

Area of the shaded = 81 - 40.5 = 40.5 m²

link below!!!!!!!!!!!

Answer:

(- -)--).- | D)2132© 21|32 is not an equation i'm pretty sure

Step-by-step explanation:

Answer:

.

<_>

.

()_()

.

Step-by-step explanation:

Answer:

1/2 is a half for example u can do 4/8 and it is equal to a half does not matter how big like 50/100 is also correct. Hope this helps :)

Answer:

D. Every term in Pattern B is 1/4 the corresponding term in Pattern A.

Step-by-step explanation:

Given

[tex]A:0\ 12\ 24\ 36\ 48[/tex]

[tex]B: 0\ 3\ 6\ 9\ 12[/tex]

Required

The true statement

Option D is true, and the proof is as follows.

The interpretation of D is:

[tex]B = \frac{1}{4}A[/tex]

When [tex]A = 0[/tex]

[tex]B = \frac{1}{4}A = \frac{1}{4} * 0 = 0[/tex]

When [tex]A = 12[/tex]

[tex]B = \frac{1}{4}A = \frac{1}{4} * 12 = 3[/tex]

When [tex]A = 24[/tex]

[tex]B = \frac{1}{4}A = \frac{1}{4} * 24 = 6[/tex]

When [tex]A = 36[/tex]

[tex]B = \frac{1}{4}A = \frac{1}{4} * 36 = 9[/tex]

When[tex]A = 48[/tex]

[tex]B = \frac{1}{4}A = \frac{1}{4} * 48 = 12[/tex]

Compare the calculated values with the given values of B, we have:

[tex]B: 0\ 3\ 6\ 9\ 12[/tex] --- Calculated

[tex]B: 0\ 3\ 6\ 9\ 12[/tex] --- Given

Hence, (d) is correct

Answer:

d yw

Step-by-step explanation:

i took the test

Answer:

3.251, 3.252, 3.253, 3.254, 3.255.......3.259

Step-by-step explanation:

Answer:

3.251, 3.252, 3.253, 3.254, 3.255, 3.256, 3.257, 3.258 , and 3.259

Step-by-step explanation:

The other number is 4/5

Step-by-step explanation:

let the number be x

if one of the numbers is -14/5

The sum of two rational numbers is -2.

Here, we get the equation

x + (-14/5) = -2

x - 14/5 = -2

x = 14/5 - 2

x = 14 - 2 × 5 ÷ 5

x = 14 - 10 ÷ 5

x = 4/5

Thus, The other number is 4/5

x + (-14/5) = -2

4/5 + (-14/5) = -2

4/5 - 14/5 = -2

4 - 14/5 = -2

-10/5 = -2

-2 = -2

Hence, L.H.S = R.H.S

-TheUnknownScientist

Answer: Hmmmmmm

Explanation

Answer:

2.5

Step-by-step explanation:

the radius is half of a diameter so

radius = 5/2 = 2.5 inches

Answer:

2.3

Step-by-step explanation:

Answer:

(-infinity,+infinity)

Step-by-step explanation:

Any real value of x can be defined with a unique output in this function.

Answer: ux= 10.5, ox= 0.001

Step-by-step explanation:

I took the test and got it right

Answer:thats your answer

Step-by-step explanation:

Answer:

To find the radius..just divide them by two

For the diameter multiply by two

Circumference formula is

[tex]2\pi \: r[/tex]

Answer:

2x-8=1/2-2

Step-by-step explanation:

Answer: 8

So, the first approach with this problem you should take is writing out the mathematical expression in association to what is being described.

To help break down the statement, let's look over it "twice a number (i.e., the number we are looking for multiplied by 2), decreased by 4 (subtraction), is at least 12 (equals that value).

Therefore,

2(x) - 4 = 12

Using algebra to isolate the x variable, we find that:

x = 8

I hope that I understood what was being asked enough to help!

Answer:

Option A:

y = 3*(x - 5)^2 - 4

Step-by-step explanation:

For a quadratic equation:

y = a*x^2 + b*x + c

with the vertex (h, k), we can rewrite the function as:

such that:

h = -b/2*a

y = a*(x - h)^2 + k

Here we have the function:

y = 3*x^2 - 30*x + 71

the x-value of the vertex will be:

h = -(-30)/(2*3) = 30/6 = 5

And k is given by:

k = y(5) = 3*(5)^2 - 30*5 + 71 = -4

Then the vertex is:

(5, - 4)

And we can rewrite the equation in the vertex form as:

y = 3*(x - 5)^2 + (-4)

y = 3*(x - 5)^2 - 4

Then the correct option is A.

Answer:

[tex]6\frac{11}{15}[/tex]

Step-by-step explanation:

[tex]2\frac{1}{3}[/tex] equals to [tex]\frac{7}{3}[/tex]

[tex]\frac{11}{5}+\frac{11}{5}=\frac{22}{5}[/tex]

but the denominator is not the same in [tex]\frac{7}{3}[/tex] and [tex]\frac{22}{5}[/tex]. So you would need to find the LCM for 3 and 5. The LCM for 3 and 5 is 15.

[tex]\frac{7}{3}*\frac{5}{5} =\frac{35}{15}[/tex]

[tex]\frac{22}{5}*\frac{3}{3} =\frac{66}{15}[/tex]

[tex]\frac{35}{15} +\frac{66}{15} =\frac{101}{15}[/tex]

[tex]\frac{101}{15} =6\frac{11}{15}[/tex]

Jacinta has 2 blue marbles , 4 red marbles and 5 green marbles in a bag, all the marbles are the same size, she will select one marbles from the marble from the bag without looking what is the possibility that Jacinta will choose the green marble

The possibility that Jacinta will choose the green marble is 45.5%

Probability is a branch of math which deals with finding out the likelihood of the occurrence of an event.

Given that, Jacinta has 2 blue marbles, 4 red marbles and 5 green marbles in a bag, all the marbles are the same size,
We need to find the possibility that Jacinta will choose the green marble,

So, here we will use the concept of probability, probability tell us the chances of happening of an event.

The formula =

Probability = favorable outcomes / total outcomes.

Here, the favorable outcomes = green marble (5)

The total outcomes = total number of marbles = 5+4+2 = 11

So, P(getting the green marble) = 5/11 = 0.454545 = 45.5%

Hence, the possibility that Jacinta will choose the green marble is 45.5%

Learn more about Probability click;

https://brainly.com/question/30034780

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