Which value is a solution to the inequality 9-y >12

Answer:

$340

Step-by-step explanation:

From the information given we know that $204 is the price after a 40% discount is applied which means that this value represents 60% of the regular price and you can find the answer using the rule of three:

204 →  60%

 x    ← 100%

x=(204*100)/60=340

According to this, the answer is that the regular price of the product is $340.

340*0.4= 136

340-136=204

Answer:

Perimeter of the picture and frame = 38.4inches

Area of the picture and frame = 92.16inches²

Step-by-step explanation:

A square frame is made up of 4 different pieces. The shape of each piece = Rectangle

The perimeter of the rectangle = 24

Perimeter of the rectangle = 24 inches

The perimeter of a rectangle = 2L + 2W

The Width of a Rectangle is always on her than the length hence.

24 = 2L + 2W

24 = 2( L + W)

24/2 = L + W

12 = L + W

Because the width is always longer than the length

W > L

Width of wooden frame = 4 × Length

Therefore;

4 × L = W

Which gives

L + W = 12 inches

4 × L + L = 12 inches

L×(4 + 1)

= 5L = 12 inches

L = 12/5 = 2.4 inches

W = 4 × L = 4 × 12/5

W = 48/5 = 9.6 inches

Side length of wooden frame, L =9.6

The perimeter of the picture frame = 4 × L= 4 × 9.6= 38.4 inches

The area of the picture frame = L²

= L × L

= 9.6 × 9.6 = 92.16inches².

Answer: 16500(.65)^3 =4531.31

Step-by-step explanation:

Answer:

1. Debit Petty cash for $400; and Credit Cash for $400.

2. Total petty cash payment = $270.57

3(a) Cash reimbursement is $279.58; and Cash over and short is $9.01.

3(b) Debit Petty cash for $100; and Credit Cash for $100.

Step-by-step explanation:

Note: This question is not complete. The full complete question is therefore provided before answering the question. See the attached pdf file for the full question.

The explanations to the answers are now given as follows:

1. Prepare the journal entry to establish the petty cash fund.

Note: See the journal entry in the attached excel file

2. Prepare a petty cash payments report for February with these categories: delivery expense, mileage expense, postage expense, merchandise inventory (for transportation-in), and office supplies expense. Sort the payments into the appropriate categories and total the expenditures in each category.

Note: See the petty cash payments report in the attached excel file.

3. Prepare the journal entries for required 2 to both (a) reimburse and (b) increase the fund amount.

Note: See the journal entries (a) and (b) in the attached excel file

3(a) Reimburse Workings:

w.1: Calculation of Cash reimbursement

Cash reimbursement = Petty cash fund - Petty cash fund balance = $400 - $120.42 = $279.58

w.2: Calculation of the Cash over and short

Cash over and short = Cash reimbursement – Total expenses = $279.58 - $270.57 - $120.42 = $9.01

Answer:

4.5.  

Step-by-step explanation:

f(x) = −6 / x^2

f(1) = -6 / (1)^2 = -6 / 1 = -6.

f(2) = -6 / (2)^2 = -6 / 4 = -3 / 2 = -1.5.

Now, you have two sets of coordinates: (1, -6), and (2, -1.5).

You need to find the slope, which is the average rate of change.

(-1.5 - (-6)) / (2 - 1) = (-1.5 + 6) / 1 = -1.5 + 6 = 4.5

Hope this helps!

The average rate of change of the function from x=1 to x=2 is 4.5

The average rate of change of a function is given by:

Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]

Hence, the average rate of change of the function from x=1 to x=2. f(x)=−6/x² is:

f(2) = -6/2² = -1.5

f(1) = -6/1² = -6

[tex]Average\ rate\ of\ change=\frac{f(2)-f(1)}{2-1}=\frac{-1.5-(-6)}{2-1}=4.5[/tex]

Hence the average rate of change of the function from x=1 to x=2 is 4.5

Find out more at: https://brainly.com/question/23483858

Answer:

Mixing two concentrations for known amount of mixture

Step-by-step explanation:

Let x = amount (ounces) of 18% solution

then

36-x = amount (ounces) of 9% solution

0.18x + 0.09(36-x) = .16(36)

0.18x + 3.24-.09x = 5.76

0.09x + 3.24 = 5.76

0.09x = 2.52

x = 28 ounces of 18% solution

amount of 9% solution:

36-x = 36-18 = 18 ounces

"prepare 36 ounces", means mass or weight.

Let u = ounces of 16%

Let v = ounces of 18%

(16u + 18v)/36=9

and u + v = 36  

based on the above findings....

Mixing two concentrations for known amount of mixture

Answer:

i think its b

???

Step-by-step explanation:

im sorry if im wrong im not very confident on my answer :(

Answer:

D

Step-by-step explanation:

Most logical looking if you look at the formula, the last number has to be smaller than the one before, so.

Answer:

4

Step-by-step explanation:

I suppose this is a trick question.

The answer is equal to the "circular hole" in the numbers. (except 4, which does not contain circular hole).

So by counting the holes,

123456789 = 4

Answer:

4

Step-by-step explanation:

This is a trick/pattern

We have to count the number of holes in each number

1-0

2-0

3-0

4-0

5-0

6-1

7-0

8-2

9- 1

1+2+1 =4

Answer:

the temperature reading that separates the bottom​ 4% from the others is -1.75°

Step-by-step explanation:

The summary of the given statistics data set are:

Mean [tex]\mu[/tex] : 0

Standard deviation [tex]\sigma[/tex] = 1

Probability of the thermometer readings = 4% = 0.04

The objective is to determine the temperature reading that separates the bottom​ 4% from the others

From the standard normal table,

Z score for the Probability P(Z < z) = 0.04

P(Z < -1.75) = 0.04

z = -1.75

Now, the z- score formula can be expressed as :

[tex]z = \dfrac{X-\mu}{\sigma}[/tex]

[tex]-1.75 = \dfrac{X-0}{1}[/tex]

-1.75 × 1 = X - 0

X = -1.75 × 1 - 0

X = -1.75

Therefore, the temperature reading that separates the bottom​ 4% from the others is -1.75°

Answer:

x should equal 1

Step-by-step explanation:

(1*129)-3=126

129-3=126

126=126

Answer:

x=1

Step-by-step explanation:

We can start by adding 3 to both sides to get rid of the -3

That leaves us with 129x=129

It ends up working out really evenly because by dividing both sides by 129, we are left with x=1

Answer: 6 + 4

Step-by-step explanation:

6 is the x

Answer:

if X=6

meaning,when you add X+4 it will give you 6+4 which is equal to 10

Look at the attached image (credit to Desmos graphing calculator)

To graph the equation y=4x+1, we just find two points that exist, plot them, and draw a straight line that goes through them.

Let's try x=0:

[tex]y=4(0)+1=1[/tex]

One point on the line is (0,1)

Let's try x=1:

[tex]y=4(1)+1=5[/tex]

Another point is (1,5).

Now, plot these two points and draw a line through them.

The graph of the equation represents that straight line connecting the points (0, 1), (1, 5), and (-1, -3) on a coordinate plane.

The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.

To plot the graph of the equation y=4x+1 by plotting points, we need to choose some values of x and then calculate the corresponding values of y using the equation.

Let's choose some values of x and calculate the corresponding values of y:

When x = 0, y = 4(0) + 1 = 1, so one point on the graph is (0, 1).

When x = 1, y = 4(1) + 1 = 5, so another point on the graph is (1, 5).

When x = -1, y = 4(-1) + 1 = -3, so another point on the graph is (-1, -3).

We can continue this process to find more points, or we can use these three points to draw a straight line through them.

Thus, the graph of the equation represents that straight line connecting the points (0, 1), (1, 5), and (-1, -3) on a coordinate plane.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ3

Answer:

If the value of our test statistics is less than the critical value of t at 7 degrees of freedom at a 10% level of significance for the right-tailed test (which is 1.415), then we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.

If the value of our test statistics is more than the critical value of t at 7 degrees of freedom at a 10% level of significance for the right-tailed test (which is 1.415), then we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Step-by-step explanation:

We are given that the means of two populations using paired observations. Suppose that [tex]\bar D[/tex] = ​3.125, [tex]s_D[/tex] =​ 2.911, and n =​ 8, and that you wish to test the hypothesis below at the​ 10% level of significance.

Let D = difference between the two paired observations.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu_D[/tex] = 0    

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu_D[/tex] > 0

The test statistics that would be used here is Paired t-test for dependent samples;

                     T.S. =  [tex]\frac{\bar D-\mu_D}{\frac{s_d}{\sqrt{n} } }[/tex]  ~ [tex]t_n_-_1[/tex]

where, [tex]\bar D[/tex] = ​3.125, [tex]s_D[/tex] =​ 2.911, and n =​ 8

The decision rule for rejecting the null hypothesis in the given hypothesis​ test would be;

Answer:I do not agree

Step-by-step explanation:he needs to take away 17 if he takes away 20 not 17 he needs to return 20-17=3 so in easier words you do 53-20+3=36

Answer: Local Max = (-1, 0)

              Local Min = (1, -8)

Step-by-step explanation:

f(x) = (x + 1)² (x - 3)

Step 1: Find the zeros

(x + 1)² = 0 --> x = -1   (multiplicity of 2)

(x - 3) = 0  -->  x = 3

Step 2: Find the Vertices

x = -1 --> (multiplicity is even which means this is a vertex)

The midpoint between x = -1 and x = 3 is x = 1

Step 3:  Find the Local Max and Local Min

Use the x-value above to find the y-values

f(-1) = 0        because it is a zero

f(1) = (1 + 1)² (1 - 3)

    =    2²(-2)

    =    4(-2)

    =      -8

Conclusion:

(-1, 0) is the Local Max     bigger y-value

(1, -8) is the Local Min      smaller y-value

Answer:

f ( x ) = ( x – 3) 2 – 4; the minimum value is –4

Step-by-step explanation:

Given the function f ( x ) = x 2 – 6 x + 5, write an equivalent form of the function that reveals the minimum or maximum value of the function and state the minimum or maximum value.

f ( x ) = ( x – 3) 2 – 4; the minimum value is –4

( This The correct question to answer?) can't deleted..

Answer:

fortnite

Step-by-step explanation:

winwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwin

Answer:

Yes

Step-by-step explanation:

Yes

Answer:

See below

Step-by-step explanation:

The domain of the quadratic equation is going to be [tex]\mathbb{R}[/tex] (all reals), since you can set x to be any real number and get a real value of y.

I can't see the graph, but the range of the quadratic is going to be y ≥ 4 (if the graph opens upwards) or y ≤ 4 (if the graph opens downwards).

Answer:

See below.

Step-by-step explanation:

[tex]2 \ln(x+2)=6[/tex]

[tex]\ln (x+2)=3[/tex]

[tex]e^{\ln(x+2)}=e^3[/tex]

[tex]x+2=e^3[/tex]

[tex]x=e^3-2[/tex]

[tex]x\approx 18. 09[/tex]

Answer:

1. set up the equations:

a. total cost: 75x + 95y = 1800

b. total hours: x + y = 20

2. use substitution:

a. x + y = 20 → x = 20 - y

3. plug in value of x:

a. 75(20 - y) + 95y = 1800

4. distribute (75).

1500 - 75y + 95y = 1800

5. combine like terms:

20y = 300

6. divide:

y = 15

7. plug in y to other equation to get x:

x + 15 = 20

8. solve:

x = 5

1st mechanic (x) worked 5 hours

2nd mechanic (y) worked 15 hours

hope this helps :)

Answer:

The first mechanic worked 5 hours and the second worked 15

Step-by-step explanation:

Let h = hours for first mechanic

j = hours for second mechanic

h+j = 20

75h + 95 j = 1800

Multiply the first equation by -75

-75(h+j = 20)

-75h -75j = -1500

Add this to the second equation to eliminate h

75h + 95 j = 1800

-75h -75j = -1500

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

0 + 20j = 300

Divide by 20

20j/20 = 300/20

j = 15

Now gind h

h+j = 20

h +15 = 20

h = 5

Complete Question

Your PI claims that the proportion of Morpho butterflies in a population that are blue is 0.3 .A sample is independently obtained from this population. Of 200 sampled Morphos, 50 turn out to be blue.Given only this information, carry out a hypothesis test to evaluate the claim. What is closest to the p-value that you obtain?

A 0.019

B 0.038

C 0.070

D 0.139

Answer:

The correct answer is  D

Step-by-step explanation:

From the question we are told that  

    The population proportion of blue butterflies is  [tex]p = 0.3[/tex]

    The  sample  size is  [tex]n = 200[/tex]

     The  sample mean is  [tex]\= x = 50[/tex]

The  Null Hypothesis is mathematically represented as

        [tex]H_o : p = 0.3[/tex]

The  Alternative  Hypothesis is mathematically represented as

       [tex]H_a : p \ne 0.3[/tex]

Now the sample proportion is mathematically represented as

         [tex]\r p = \frac{\= x}{n}[/tex]

substituting values

        [tex]\r p = \frac{50 }{200 }[/tex]

         [tex]\r p = 0.25[/tex]

Generally the test statistics is mathematically represented as

         [tex]z = \frac{\r p - p }{\sqrt{\frac{p(1-p)}{n } } }[/tex]

substituting values            

         [tex]z = \frac{ 0.25 - 0.3 }{\sqrt{\frac{0.3(1-0.3)}{200 } } }[/tex]

        [tex]z = -1.54[/tex]

The  p-value for a two-tailed test  is  mathematically represented as

for lower -tail test

[tex]p-value = P(Z \le z | H0\ is \ true) = cdf(z )[/tex]

 for higher-tail test

[tex]p-value = P(Z \ge z | H0\ is \ true) = 1- cdf(z )[/tex]

for this test i assumed a 0.05 level of significance

Now  

  [tex]cdf(z)[/tex] is the cumulative distribution function for test statistics under the null hypothesis

Which can be calculated using MInitab (A statistics calculator )

  for lower-tail test

     The p-value is not significant

 for higher-tail test

p-value is

      [tex]1- cdf(-1.54) = 0.125[/tex]

Answer:

[tex]\boxed{\sf 4.41}[/tex]

Step-by-step explanation:

The triangle is a right triangle.

We can solve using trigonometric functions.

[tex]\sf cos(\theta)=\frac{adjacent}{hypotenuse}[/tex]

[tex]\sf cos(25)=\frac{4}{?}[/tex]

[tex]\sf ?=\frac{4}{cos(25)}[/tex]

[tex]\sf ?= 4.41351167...[/tex]

Answer: Reject the null hypothesis because the p-value =0.025 is less than the significance level α=0.05.

Step-by-step explanation: Trust me

Answer:

Congruent

Step-by-step explanation:

I am not 100% sure because there are no measurements but it looks like the two shapes are the same size.

If this helped, please consider giving me brainliest, it will help me a lot :)

Have a good day.

Answer:

Option (2)

Step-by-step explanation:

In this question we have to find the values of Sinθ and tanθ where [tex]\frac{3\pi}{2}<x<2\pi[/tex].

Cosθ = [tex]\frac{\sqrt{2}}{2}[/tex] ⇒ θ = [tex]\frac{7\pi }{4}[/tex]

[Since [tex]\text{Cos}\frac{7\pi }{4}=\text{Cos}(2\pi-\frac{\pi}{4})[/tex]

                     [tex]=\text{Cos}\frac{\pi }{4}[/tex]

                     [tex]=\frac{\sqrt{2} }{2}[/tex] ]

Since Cosine of any angle between [tex]\frac{3\pi}{2}[/tex] and 2π is positive and Sine is negative in nature,

[tex]\text{Sin}\frac{7\pi }{4}[/tex] = [tex]-\frac{\sqrt{2}}{2}[/tex]

Since, tanθ = [tex]\frac{\text{Sin}\theta}{\text{Cos}\theta}[/tex]

tanθ = [tex]\frac{\frac{-\sqrt{2} }{2} }{\frac{\sqrt{2} }{2} }[/tex]

       = [tex]-\frac{\sqrt{2}}{2}\times \frac{2}{\sqrt{2}}[/tex]

       = -1

Therefore, Option (2) will be the answer.

Answer:

Step-by-step explanation:

option 2 is the correct answer

Answer:

Explained below.

Step-by-step explanation:

X = annual consumption in the United States in 2008 of HFCS

[tex]X\sim N(60, 20^{2})[/tex]

(a)

Find the probability a randomly selected American consumes more than 50 lbs of HFCS per year.

[tex]P(X>50)=P(\frac{X-\mu}{\sigma}>\frac{50-60}{20})=P(Z>-0.50)=P(Z<0.50)=0.6915[/tex]

P (X > 50) = 0.6915.

(b)

Find the probability a randomly selected American consumes between 30 and 90 lbs of HFCS per year.

[tex]P(30<X<90)=P(\frac{30-60}{20}<\frac{X-\mu}{\sigma}<\frac{90-60}{20})\\\\=P(-1.5<Z<1.5)\\\\=0.93319-0.06681\\\\=0.86638\\\\\approx 0.8664[/tex]

P (30 < X < 90) = 0.8664.

(c)

Find the 80th percentile of annual consumption of HFCS.

P (X < x) = 0.80

⇒ P (Z < z) = 0.80

⇒ z = 0.84

[tex]z=\frac{x-\mu}{\sigma}\\\\0.84=\frac{x-60}{20}\\\\x=60+(20\times 0.84}\\\\x=76.8[/tex]

80th percentile = 76.8.

(d)

In a sample of 40 Americans how many would you expect to consume more than 50 pounds of HFCS per year.

P (X > 50) = 0.6915

Number of American who consume more than 50 lbs = 40 × 0.6915

                                                                                          = 27.66

                                                                                          ≈ 28

Expected number = 28.

(e)

Between what two numbers would you expect to contain 95% of Americans HFCS annual consumption?

According to the Empirical rule, 95% of the normally distributed data lies within 2 standard deviations of mean.

[tex]P(\mu-2\sigma<X<\mu+2\sigma)=0.95\\\\P(60-2\cdot20<X<60+2\cdot20)=0.95\\\\P(20<X<100)=0.95[/tex]

Range = 20 < X < 100.

(f)

Find the quartile and Interquartile range for this population.

1st quartile: Q₁

P (X < Q₁) = 0.25

⇒ P (Z < z) = 0.25

⇒ z = -0.67

[tex]z=\frac{Q_{1}-\mu}{\sigma}\\\\-0.67=\frac{Q_{1}-60}{20}\\\\Q_{1}=60-(20\times 0.67)\\\\Q_{1}=46.6[/tex]

3rd quartile: Q₃

P (X < Q₃) = 0.75

⇒ P (Z < z) = 0.75

⇒ z = 0.67

[tex]z=\frac{Q_{3}-\mu}{\sigma}\\\\0.67=\frac{Q_{3}-60}{20}\\\\Q_{3}=60+(20\times 0.67)\\\\Q_{3}=73.4[/tex]

Inter quartile range:

[tex]IQR=Q_{3}-Q_{1}=73.4-46.6=26.8[/tex]

(g)

Compute the z-score for x = 105 lbs as follows:

[tex]z=\frac{Q_{3}-\mu}{\sigma}\\\\z=\frac{105-60}{20}\\\\z=2.25[/tex]

Z-scores greater than +2.00 or less than -2.00 are considered as unusual.

Thus, the result unusual.

Answer: 4

Step-by-step explanation:

f(x)=4-5x is the same as y =  -5x + 4 (Slope-intercept form).  Thus, the y-intercept is 4.

Hope it helps <3

Answer: 4

Step-by-step explanation:

in the eq f(x) = 4 - 5x,

putting x=0 we get

f(x) = 4 - 0 = 4

hence y intercept = 4

Answer:

the null hypothesis would be: p = 70%/0.7

The alternative hypothesis would be: p < 0.7

Step-by-step explanation:

The null hypothesis is most of the time always the default statement while the alternative hypothesis is tested against the null and is its opposite.

In this case study the null hypothesis would be: the proportion of men who own cats is 70%: p = 0.7

The alternative hypothesis would be: the proportion of men who own cats is smaller than 70% : p < 0.7

Answer:

option B

hope it was useful for you

stay at home stay safe

pls mark me as brain.....

Answer:

[tex]\boxed{Option \ B}[/tex]

Step-by-step explanation:

Area of a circle = [tex]\pi r^2[/tex]

Finding the area of the circle, we need to know what the radius of the circle is. So, We would get the area of the circle.

Answer:

$41,999

Step-by-step explanation:

Annual income = 45000

monthly income = $45000/12 months = $3750

mandatory expense at 38% rule = $3750 x 0.38 = 1425

other debt = 790

tax and insurance = 340

= 1425 - 790 - 340

= 295

balance left = 295

mortgage payment = (295/8.78) x 1000

= $33,599

purchase price = monthly payment/ 1- % of down payment

= $33599/1 - 0.20

= 33599/0.80

= $41,999

Answer:

B. Circumference of a circle

Step-by-step explanation:

The circumference of a circle can be found using formula 2πr where r is the radius of circle.

A circle's or an ellipse's circumference is its perimeter. The circumference would be the length of the circle's arc, if the circle were opened up and straightened out to a line segment, in other words.

Here, we have,

Suppose the radius of a circle is 5cm

So, we can find the circumference by using formula 2πr

    Circumference = 2 × π × 5 = 10π cm.

Hence, The circumference of a circle can be found using formula 2πr where r is the radius of circle.

To learn more about Circumference and Perimeter,

brainly.com/question/20489969

#SPJ2

complete question;

The circumference of a circle can be found using the formula c 2r