Please help this is a big test!

A website is having a sale, and all items are 25% off the original price,p.
Which expressions can be used to find the price of an item after the discount?
Select all that apply.

0.75p

1.25p

p - 25

p - 0.25p

0.01p*75

Answer:

D(-4, -3), E(-7, 4), and F(-7, -3).

Step-by-step explanation:

The current coordinates are A(4, 2), B(7, 9), and C(7, 2).

If you reflect the coordinates over the y-axis, the y-values will not be changing, but the signs of the x-values will flip. So, you will have A'(-4, 2), B'(-7, 9), and C'(-7, 2).

When you translate the resulting triangle down 5 units, the y-values will decrease by 5 units. So, the coordinates of triangle DEF will be D(-4, -3), E(-7, 4), and F(-7, -3).

Hope this helps!

Answer:

D (-4, -3)

E (-7, 4)

F (-7,-3)

Step-by-step explanation:

Well triangle ABC reflected over the y-axis to make triangle DEF looks like the image below. ↓

Then we have to translate triangle DEF 5 units down.

With the coordinates D, E, F,

D (-4,2)

E (-7,9)

F (-7,2)

To translate it 5 units down we just subtract the y coordinates by 5.

D (-4, -3)

E (-7, 4)

F (-7,-3)

Thus,

the coordinates for triangle DEF are (-4, -3) , (-7, 4) , (-7,-3).

Hope this helps :)

Answer:

correct answer is explained in the picture attached

3(x + 1) = 3x + 3

(x + 1) * 2 = 2x + 2

3x + 3/2x + 2

= 3 (x + 1) / 2 (x + 1) [cancel out (x + 1) ]

= 3/2

= 1.5

_________

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

\(5x^2-14x+8\\\\=5x^2-10x-4x +8\\\\=5x(x-2) -4(x-2)\\\\=(x-2)(5x-4)\)

The probability of obtaining tails and the number 5 is 1/12

the probability of obtaining an even number is 1/2

P(heads and prime number)  1/4

Since the events are independent, the probability of obtaining tails and the number 5 is:

P(tails and 5) = P(tails) * P(5) = (1/2) * (1/6) = 1/12

The coin toss outcome is irrelevant, so the probability of obtaining an even number is:

P(even number) = 1/2

The probability of obtaining heads and a prime number is:

P(heads and prime number) = P(heads) * P(prime number) = (1/2) * (1/2) = 1/4

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Answer: 565.3 cubic cm

Step-by-step explanation:

V= 1/3Bh

V= 1/3π r^2h

= 1/3 π (6 cm) ^2 (15 cm)

= 1/3 π (36 cm squared) (15 cm)

= 180π cubic cm

about 565.2 cubic cm

π is about 3.14

The value of the volume of a cone with a radius of 6 centimeters and a height of 15 centimeters is,

⇒ 565.2 cubic cm

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

In cone,

Radius = 6 cm

Height = 15 cm

Now, We know that;

Volume of cone is,

V = 1/3π r²h

Substitute all the values we get;

V = 1/3 π (6 cm)² (15 cm)

V = 1/3 π (36) (15)

V = 180π

V = 565.2 cubic cm

Thus, The value of the volume of a cone with a radius of 6 centimeters and a height of 15 centimeters is,

⇒ 565.2 cubic cm

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Answer:

(a): 190

(b): 750

Please see below for the steps.

Step-by-step explanation:

(a):

Use points (0,1000) and (3.1, 1589)

Use slope formula. The slope formula is also used to find average rate of change (just so you know).

y2-y1/x2-x1

1589-1000/3.1-0=589/3.1=190

Answer for (a) is 190

(b):

Use points (12.4, 4100) and (15.5, 6425)

Use slope formula.

y2-y1/x2-x1

6425-4100/15.5-12.4=2325/3.1=750

The answer for (b) is 750

Hope this helps!

Please mark as brainliest if correct!

Have a great day!

Answer:

YA isn't an angle bisector since it doesn't divide <XYZ into two perfectly half angles .<XYA doesn't equal to <AYZ .

<XYA & <AYZ . are approximately congruent within one degree .

what grade u in ?! i will help u

Billy purchased 9 types of one type and 16 types of another spinner.

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

Billy bought 25 spinners.

Let x and y are the type of spinners.

Then, x + y = 25  {equation 1}

Some were $10 and some were $15.

10x + 15y = 295  

Simplifying,

2x + 3y = 59    {equation 2}

Multiplying 2 to the equation 1 and subtraction the equation 2,

-y = -9

y = 9

And x = 16

Therefore, each type of spinner is 9 and 16.

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Answer:

\(\frac{5}{6}\), \(\frac{5}{6}\), and "Yes"

Step-by-step explanation:

   We will do as the instructions say.

-> See attached.

The original price of the ticket was $210 and the new price is $310.

To find the percentage increase, we can use the formula:

percentage increase = (new price - old price) / old price * 100%

So, the percentage increase in the ticket price is:

percentage increase = (310 - 210) / 210 * 100% = 47.62%

Therefore, the ticket price has increased by 47.62%.

If the airline charges an additional $50 baggage fee with the new ticket price of $310, then the new price will be $360.

To find the new percentage increase, we can use the same formula:

percentage increase = (new price - old price) / old price * 100%

So, the percentage increase in the ticket price with the additional $50 baggage fee is:

percentage increase = (360 - 210) / 210 * 100% = 71.43%

Therefore, the ticket price has increased by 71.43% with the additional $50 baggage fee.

Answer:

Percent Increase= 47.619% increase, With $50 baggage fee= 71.4286% increase

Step-by-step explanation:

Ratio of people who said they like cereal bars to people who said they don't = 14:11

Number of people at a grocery shop = 500

Which means :

\( =\tt \frac{14}{25} \times 500 \)

\( =\tt \frac{14 \times 500}{25} \)

\( = \tt \frac{7000}{25} \)

\( \color{plum}= \tt280 \: people\)

Thus, 280 people would buy cereal bars.

▪︎Therefore, out of 500 people, 280 people would buy cereal bars.

Ratio of cars which worked well to cars which were defective = 297:3

Number of care produced each day = 1000

Number of defective cars produced each day :

\( = \tt \frac{3}{200} \times 1000\)

\( =\tt \frac{3 \times 1000}{200} \)

\( = \tt\frac{3000}{200} \)

\(\color{plum} = \tt15 \: defective \: cars\)

Thus, 15 defective cars are produced.

▪︎Therefore, out of 1000 cars produced each day, 15 cars are defective.

The statement "Most MIS's use sophisticated mathematical models or statistical techniques" is generally true.

Management Information Systems (MIS) play a crucial role in modern organizations by providing valuable insights into various aspects of the business.

These systems gather data from different sources and transform it into meaningful information for decision-making purposes.

To make sense of the collected data, MIS rely on sophisticated mathematical models and statistical techniques.

Mathematical models are used to represent real-world situations and relationships mathematically.

These models can range from simple equations to complex algorithms that simulate and predict business processes.

By using mathematical models, MIS can analyze data, identify patterns, and make predictions or projections.

Statistical techniques, on the other hand, provide methods for summarizing and analyzing data to extract meaningful information.

MIS employ statistical techniques such as regression analysis, hypothesis testing, data visualization, and forecasting to uncover insights and support decision-making.

By leveraging these sophisticated mathematical models and statistical techniques, MIS can handle large volumes of data, identify trends and patterns, perform predictive analysis, and provide valuable insights for effective decision-making in areas such as resource allocation, strategic planning, inventory management, and customer behavior analysis.

Therefore, it is safe to say that most MIS's utilize sophisticated mathematical models and statistical techniques to process and analyze data, enabling organizations to make informed decisions based on accurate and meaningful information.

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Answer: 65

Step-by-step explanation:

Since the mean mark of the 9 students is 50. Their total marks will be:

= 9 × 50

= 450

Since the marks obtained by 8 students are given, we add the marks together and this will be:

= 60+40+50+30+80+40+45+40

= 385

The score of the 9th student will be:

= 450 - 385

= 65

The test statistic for the given sample is 1.26.

In order to solve this question, we need to use the z-test equation:

z = (\(\bar x\) - μ)/ (σ/√n)

where:

\(\bar x\) = sample mean (678 BD)

μ = population mean (566 BD)

σ = population standard deviation (130)

n = sample size (169)

Plugging in the numbers:

z= (678- 566)/ (130/√169)

z = 1.26

Therefore, the test statistic for the given sample is 1.26.

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Answer: -8.16 to 15.84

Step-by-step explanation: Confidence Interval is an interval in which we are a percentage sure the true mean is in the interval.

A confidence interval for a difference between two means and since sample 1 and sample 2 are under 30, will be

\(x_{1}-x_{2}\) ± \(t.S_{p}\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}} }\)

where

x₁ and x₂ are sample means

t is t-score

\(S_{p}\) is estimate of standard deviation

n₁ and n₂ are the sample numbers

The estimate of standard deviation is calculated as

\(S_{p}=\sqrt{\frac{(n_{1}-1)s_{1}^{2}+(n_{2}-1)s_{2}^{2}}{n_{1}+n_{2}-2} }\)

where

s₁ and s₂ are sample standard deviation of each sample

Degrees of freedom is:

\(df=n_{1}+n_{2}-2\)

df = 12 + 9 - 2

df = 19

Checking t-table, with 90% Confidence Interval and df = 19, t = 1.729.

The mean and standard deviation for 12 unlogged forest plots are 17.5 and 3.53, respectively.

The mean and standard deviation for 9 logged plots are 13.66 and 4.5, respectively.

Calculating estimate of standard deviaton:

\(S_{p}=\sqrt{\frac{(12-1)(3.53)^{2}+(9-1)(4.5)^{2}}{12+9-2} }\)

\(S_{p}=\sqrt{\frac{299.07}{19} }\)

\(S_{p}=\) 15.74

The difference between means is

\(x_{1}-x_{2}\) = 17.5 - 13.66 = 3.84

Calculating the interval:

\(t.S_{p}\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}} }\) = \(1.729.15.74.\sqrt{\frac{1}{12} +\frac{1}{9} }\)

\(t.S_{p}\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}} }\) = \(27.21\sqrt{\frac{21}{108} }\)

\(t.S_{p}\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}} }\) = \(27.21\sqrt{0.194}\)

\(t.S_{p}\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}} }\) = 12

Then, interval for the difference in mean is 3.84 ± 12, which means the interval is between:

lower limit: 3.84 - 12 = -8.16

upper limit: 3.84 + 12 = 15.84

The interval is from -8.16 to 15.84.

The probability that both marbles Miguel chooses are red is 1/15 or approximately 0.067.

The probability of choosing a red marble on the first draw is 3/10 since there are 3 red marbles out of a total of 10 marbles. Since Miguel does not replace the first marble before choosing the second one, there are now only 9 marbles left in the bag, and 2 of them are red. Therefore, the probability of choosing a red marble on the second draw given that he already chose a red marble on the first draw is 2/9.

To find the probability of both events happening (choosing a red marble on the first draw and a red marble on the second draw), we multiply the probabilities together:

P(choosing 2 red marbles) = P(red on first draw) * P(red on second draw given that the first was red)

P(choosing 2 red marbles) = (3/10) * (2/9) = 1/15

Therefore, the probability that both marbles Miguel chooses are red is 1/15 or approximately 0.067.

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Answer: Choose A

Step-by-step explanation:

Just look around, with Ox we have the price - this is what we need to find.

Now we can eliminate C and D because it's not the value in Ox.

Make a small test:

- With A, we have: 630000 dollars and 180000 dollars.

- With B, we have: 90000 dollars and less than 90000 dollars :v

Of course the answer A is the maximum profit

Answer:

That would be :

4x – 10 = x2 – 5x + 10  ( y = 4x - 10 is substitute for y)

PROOF:        y + 5x = x² + 10

                    (4x - 10) + 5x = x² + 10

                     4x - 10  =  x² -5x + 10

   0 = x2 – 9x + 20  (liked terms are grouped and simplified)

PROOF:      4x - 10  =  x² -5x + 10

                  4x = x² -5x + 10 + 10

                   0  = x² -5x -4x + 20

                   0  = x² - 9x + 20

Solving:

            x² - 9x + 20 = 0

            x² - 5x - 4x + 20 = 0

            (x - 5) (x - 4)  = 0

         ⇒ x = 4  (as question says) OR x = 5

Step-by-step explanation:

hope this helps

Answer:

D,E

Step-by-step explanation:

Answer:

Step-by-step explanation:

51 + 32 = 83 for DE

Answer:

-2.2

Step-by-step explanation:

m = y2 - y1/ x2- x1

m = -5 - 6/ 2 --3

m = -11/5

m = -2.2

Answer:

38 m

Step-by-step explanation:

Set up as proportion and cross multiply to solve:

x/57 = 18.9/28

x = 38.475

Rounded this would be 38 m.

In a triangle one side that lies on an extended line segment,  statement about x is true, x = 62 because 147−85=62 and 85 + 62 = 147. So Option B is correct

In mathematics, the triangle is a type of polygon which has three sides and three vertices. the sum of all the interior angles of the triangle is 180°

Given that,

A triangle, which has one interior angle 85° and one exterior angle 147°

Another exterior angle x = ?

It is already known that,

Sum of complementary angles are 180

So,

⇒  Y + 147 = 180

⇒  Y  = 180 - 147

⇒  Y = 33

sum of all the interior angles of the triangle is 180°

X + Y + 85 = 180

X = 180 - 85 - 33

X = 62

Hence, the value of x is 62

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Answer:

-12

Step-by-step explanation:

-4-(5+3)

-4-(8)

-4-8

-12

Answer:

102594

Step-by-step explanation:

2.34 + 45.6 + 978 = ___

a) The type of test statistic used in this question is denoted by 5 (t-test).b) The calculated test statistic value, rounded to two decimal places, needs to be determined based on the given information.

a) The type of test statistic used in this question is the t-test, indicated by the value 5. The t-test is appropriate when the population standard deviation is known, and the sample size is small.

b) To calculate the test statistic, we use the formula:

test statistic = (sample mean - hypothesized population mean) / (population standard deviation / sqrt(sample size))

Given information:

Sample mean \(\bar{X}\) = 11.87

Hypothesized population mean (μ0) = 5

Population standard deviation (σ) = 1.38

Sample size (n) = 53

Substituting the values into the formula:

test statistic = (11.87 - 5) / (1.38 / sqrt(53))

Calculating the test statistic using the provided values, we find:

test statistic ≈ 28.2030

Rounding the test statistic value to two decimal places, the calculated test statistic is approximately 28.20.

In conclusion, for this question:

a) The type of test statistic used is denoted by 5 (t-test).

b) The calculated test statistic value is approximately 28.20, rounded to two decimal places.

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The function f(x) = 2x^3 + 3x^2 - 12x + 8 is increasing on (-2, 0) and (0, 2), decreasing on (-∞, -2) and (2, ∞), and has a local minimum at x = -2 and a local maximum at x = 1. So, the correct answer is D).

To determine the intervals on which the function is increasing and decreasing, we need to find the derivative of the function and determine its sign.

f(x) = 2x^3 + 3x^2 - 12x + 8

f'(x) = 6x^2 + 6x - 12

Simplifying, we get

f'(x) = 6(x^2 + x - 2)

f'(x) = 6(x + 2)(x - 1)

The critical points of the function occur where f'(x) = 0 or where f'(x) is undefined. In this case, f'(x) is defined for all values of x, so we only need to find where f'(x) = 0.

Setting f'(x) = 0, we get

6(x + 2)(x - 1) = 0

x = -2 or x = 1

These are the critical points of the function.

Now, we can use the first derivative test to determine the intervals on which the function is increasing or decreasing.

When x < -2, f'(x) < 0, so the function is decreasing.

When -2 < x < 1, f'(x) > 0, so the function is increasing.

When x > 1, f'(x) > 0, so the function is increasing.

Therefore, the function is decreasing on the interval (-∞, -2), and increasing on the intervals (-2, 1) and (1, ∞).

To find the local extrema, we need to check the sign of f'(x) on either side of the critical points.

When x < -2, f'(x) < 0, and when x > -2, f'(x) > 0. Therefore, the function has a local minimum at x = -2.

When x < 1, f'(x) < 0, and when x > 1, f'(x) > 0. Therefore, the function has a local maximum at x = 1.

So, the intervals on which the function is increasing are (-2, 1) and (1, ∞), and the intervals on which it is decreasing are (-∞, -2). The local extrema are a local minimum at x = -2 and a local maximum at x = 1.

Therefore, the correct option is (D) increasing on (-2,0),(0,2), decreasing on (-∞,-2),(2,∞).

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--The given question is incomplete, the complete question is given

"  List the intervals on which the function is increasing, the intervals on which it is decreasing, and the location of all local extrema.

f(x)= 2x^3 + 3x^2 -12x +8 Choose the correct increasing and decreasing intervals O A. increasing on (-[infinity],-2),(0,2), decreasing on (-5,0),(5,[infinity]) B. increasing on (-[infinity], -5)(5, 0) decreasing on (-0,-2)(0,2) O C. increasing on (-[infinity],-5),(5,[infinity]), decreasing on (-5,0),(0,5) O D. increasing on (-2,0),(0,2), decreasing on (-[infinity],-2) (2,[infinity])"--

The volume of the medication required, we subtract it from the nebulizer output to find the amount of saline needed.

To determine the amount of saline needed to make the medication last the full hour, we need to calculate the total volume of medication required and subtract it from the volume delivered by the nebulizer.

Given:

- Albuterol dose: 15 mg

- Atrovent dose: 0.5 mg

- Nebulizer output: 10 mL per hour

- Nebulizer flow rate: 4 LPM (liters per minute)

First, we need to convert the nebulizer flow rate to mL per hour:

4 LPM * 60 min = 240 mL per hour

Next, we calculate the total volume of medication required by adding the doses of albuterol and Atrovent:

Total medication volume = 15 mg + 0.5 mg

Now, we need to convert the total medication volume from milligrams to milliliters. To do this, we need to know the concentration of the medication (mg/mL) or the volume of the medication that corresponds to the given dose. Without this information, we cannot convert the dose to volume accurately.

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Answer:

0.6778 to 4 dec. places.

Step-by-step explanation:

That is  387 / (184+387)

= 387 / 571

= 0.677758