Find the value of x that makes m ∥ n.

Answer:

a. 4 possible outcomes.

b. Possible outcomes - the spinner will fall on a 17, 3, 11 or N.

c. {17, 3, 11, N}

d. P(z) = 1/4.

Step-by-step explanation:

The probability of a specific value on one spin  P(z) = 1/4.

a) There are four possible outcomes in the experiment.

b) The possible outcomes are 17, 3, 11, and N.

c) The sample space for the experiment is  {17, 2, 11, N}.

d) P(z) = 1/4.

It is the total number of possible outcomes from a given set.

We have,

The square spinner has the following sections.

17, 3, 11, N.

Now,

a)

The number of possible outcomes.

= 17, 3, 11, N

= 4

b)

The possible outcomes are:

= 17, 3, 11, and N

c)

The sample space.

= {17, 3, 11, N}

d)

The probability of getting one specific outcome.

P(z) = 1/4

Thus,

The answers for a), b), c), and d) are given above.

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Answer:

Step-by-step explanation:

The number in the equation is 9.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation in algebra.

Let the number be x

(2/3)x + 5 = (-2/6)x + 14 (Equation given)

x( 2/3 + 2/6 ) = 14 - 5

x( 2/3 + 1/3) = 9

x = 9

Hence, the number in the given equation is 9

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Answer:

When you are "multiplying" exponents, you're really just adding them together. So in the case of (x² ⋅ x⁴), you add the exponents:

2 + 4 = 6

[tex]x^{6}[/tex] would be the answer.

On the other hand, raising a power to a power, is actually multiplying them. So it would just be:

2 ⋅ 4 = 8

[tex]x^{8}[/tex] would be the answer.

Answer:

1.- dR/dt   = 14 $/day

2.- dC/dt =  4.55 $/day

3.- dP/dt = 7,7 $/day

Step-by-step explanation:

By definition Profit is equal to Revenue minus total costs then.

We have

R(x) = 2*x

C(x) = 0,01*x²  + 0,4*x  + 30

Then Profit  P(x)  =  2*x  -  0,01*x²  - 0,4*x  - 30

P(x) = - 0.01*x²  +  1.6*x  - 30

1.- Find rate of change total revenue per day, when

x = 25  and dx/dt = 7 u/day

R(x) = 2*x

dR/dt   = 2*dx/dt      ⇒   dR/dt   = 2* 7

dR/dt   = 14 $/day

2.-

C(x) = 0,01*x²  + 0,4*x  + 30

dC/dt = 0,01*x* dx/dt  + 0,4*dx/dt

dC/dt = 0,01*25*7  +  0.4*7

dC/dt = 1.75 + 2.8

dC/dt =  4.55 $/day

3.-

P(x) = - 0.01*x²  +  1.6*x  - 30

dP/dt = - 2*0,01*x*dx/dt  + 1.6*dx/dt

dP/dt = - 2*0,01*25*7  + 1.6*7

dP/dt = - 3,5 + 11.2

dP/dt = 7,7 $/day

Answer:

Step-by-step explanation:

Given information

[tex]R(x)=2x\\C(x)=0.01x^2+0.4x+30[/tex]

When,

[tex]x=25\\dx/dt=7[/tex] units per day

As we know that

Profit = Revenue - Cost

Then, the Profit,

[tex]P(x)=2x-0.01x^2+0.4x-30\\P(x)=-0.01x^2+1.6x-30[/tex]

Now, The total Revenue per day

[tex]R(x)=2*x[/tex]

By differentiating both side with respect to [tex]t[/tex]

[tex]\\dR/dt=2*dx/dt\\dR/dt=2*7\\dR/dt=14[/tex]

Hence the rate of change of total revenue is $14 per day.

Similarly,

The total cost per day

[tex]C(x)=0.01x^2+0.4x+30[/tex]

By differentiating both side with respect to [tex]t[/tex]

[tex]dC/dT=0.01*x*dx/dt+0.4*dx/dt\\dC/dt=0.01*25*7+0.4*7\\dC/dt=1.75+2.8\\dC/dt=4.55[/tex]

Hence the rate of change of total cost is $4.55 per day

And the total Profit per day

[tex]P(x)=-0.01x^2+1.6x-30\\[/tex]

By differentiating both side with respect to [tex]t[/tex]

[tex]dP/dt=2*(-0.01)*x*dx/dt+1.6*dx/dt\\dP/dt=-2*(-001)*25*7+1.6*7\\dP/dt=-3.5+11.2\\dP/dt=7.7[/tex]

Hence the rate of change of total Profit is $7.7 per day

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Answer:

median

Step-by-step explanation:

Answer:

m=3

Step-by-step explanation:

i hope today brings you joy and happiness :)))

Answer:

The answer is 3

Step-by-step explanation:

This is how you solve it

3m-2.4=6.6

   +2.4 .  +2.4

3m=9

/3 .  /3

m=3

The probability that an individual's clotting time will be less than 6 seconds or greater than 11 seconds, under a normal distribution with a mean of 7.45 and a standard deviation of 3.6, is approximately 50.9%.

The subject in question pertains to the calculation of probabilities using the Normal Distribution. Given that the mean clotting time is 7.45 seconds with a standard deviation of 3.6 seconds, we need to find the probability that the clotting time will be either less than 6 seconds or more than 11 seconds.

First, we convert the clotting times to z-scores (the number of standard deviations away from the mean). The z-score for 6 seconds is (6-7.45)/3.6 = -0.40, and the z-score for 11 seconds is (11-7.45)/3.6 = 0.98. We can look these z-scores up in a Z-table to find the corresponding probabilities.

From the Z-table, we find that the probability of a z-score less than -0.40 is 0.345. The probability of a z-score less than 0.98 is about 0.836. Because we're asked to calculate the probability that the clotting time is either less than 6 seconds or greater than 11 seconds, we need to calculate the probabilities at the tails of the distribution. So we subtract the probability for 0.98 (0.836) from 1 to find the probability that clotting time is greater than 11 seconds, which is 0.164.

The probability of the clotting time being either less than 6 seconds or more than 11 seconds would be the sum of the two probabilities: 0.345 + 0.164 = 0.509 or 50.9%.

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The probability that an individual's blood clotting time is less than 6 seconds or greater than 11 seconds is approximately 0.5057, calculated using the Z-scores and the standard normal distribution.

The mean clotting time of blood is 7.45 seconds, with a standard deviation of 3.6 seconds. To find the probability that an individual's clotting time will be less than 6 seconds or greater than 11 seconds under normal distribution, we will use the Z-score formula:

Z = (X - mean) / standard deviation

Using Z-tables or standard normal distribution calculators:

Therefore, the total probability is:

P(X < 6 or X > 11) = P(Z < -0.40) + P(Z > 0.99) ≈ 0.3446 + 0.1611 = 0.5057

Answer:

The probability is 5/7

Step-by-step explanation:

Please check the attached files for more explanation

Answer:

I think its b

Step-by-step explanation:

A=2πrh+2πr2=2·π·5·12+2·π·52≈534

⁵/₉ of bafter a cup would go per cupcake .

To determine how many cups of cake batter to use for each of the 18 cupcakes when you have 10 cups of batter, you need to divide the total amount of batter by the number of cupcakes.

Divide the total cups of batter (10 cups) by the number of cupcakes (18):

= 10 ÷ 18

≈ 10 / 18

Divide both sides by 2 to simplify and get:

= 5 / 9

Answer:

4.5% (1dp)

Step-by-step explanation:

10500/11000x100=95.4545454545%

100-95.4545454545= 4.5454545455%

=4.5% (1dp)

I hope this helps!

Answer:

4.762%

Step-by-step explanation:

Change:

11,000 - 10,500 = 500

% change:

500/10500 × 100

100/21

4.761904762%

Answer: 49

Step-by-step explanation:

If iTs half of each square its the same

Answer:

x = 5

Step-by-step explanation:

To solve this equation for x, subtract 2x from both sides, obtaining:

x = 5.

Answer:

  23.6°

Step-by-step explanation:

The relevant trig relationship is ...

  Sin = Opposite/Hypotenuse

This tells you ...

  sin(Z) = XY/YZ = 6/15 = 2/5

The inverse sine (arcsine) function is used to find the angle when its sine is known.

  Z = arcsin(2/5)

  Z = 23.6°

To find the size of angle XYZ, we need additional information.

To find the size of angle XYZ, we need additional information. Typically, to determine the size of an angle, we need to know the measures of other angles or the lengths of the sides of the triangle. If we have such information, we can use the trigonometric ratios or the properties of triangles to find the size of angle XYZ. Could you please provide the missing information?

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Answer:

a. IT = 9.75 * X

b. GT = 4500 + 4.25 * X

c. G = 9.75 * X - 4500 - 4.25 * X

Step-by-step explanation:

With the data of the statement we can get a function. Let X be the number of pounds sold.

to. Monthly income

IT = 9.75 * X

b. Monthly expenses

GT = 4500 + 4.25 * X

c. Monthly Earnings (Monthly Income - Monthly Expenses)

G = 9.75 * X - (4500 + 4.25 * X)

G = 9.75 * X - 4500 - 4.25 * X

a. The IT function should be = [tex]9.75 \times X[/tex]

b. The GT function is = [tex]4500 + 4.25 \times X[/tex]

c. The function G is = [tex]9.75 \times X - 4500 - 4.25 \times X[/tex]

here we assume X be the number of pounds sold.

Since A coffee business should sell the coffee for $ 9.75. Monthly expenses are $ 4,500 along with $ 4.25 for each pound of coffee.

So,

a. The IT function is [tex]9.75 \times X[/tex]

b.  The GT function should be [tex]4500 + 4.25 \times X[/tex]

c. The function G should be [tex]G = 9.75 \times X - (4500 + 4.25 \times X)[/tex]

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Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3} - \frac{1}{2} =\frac{2x2}{3x3} -\frac{1x3}{2x3} =\frac{4}{6} -\frac{3}{6} =\frac{4-3}{6} =\frac{1}{6}[/tex]

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3}-\frac{1}{2}=\\ \\=\frac{2*2-1*3}{6}\\ \\=\frac{4-3}{6}\\ \\=\frac{1}{6}[/tex]

Answer:

, a diagonal matrix is a matrix in which the entries outside the main diagonal are all zero

Step-by-step explanation:

Answer:

4 dollars and 20 cents

Step-by-step explanation:

5.00-.80=4.20

Answer:

$4.20

Step-by-step explanation:

What you bought will be subtracted from how much you paid with.

amount paid - amount bought

We paid for the cookie with $5, and bought something for 80 cents.

$5 is equal to 5.00, and 80 cents is equal to 0.8

5.00-0.8=4.2

So, you would get $4.20 back in change

Answer:

y = (-1/8)x^2

Step-by-step explanation:

Start with y = x^2.  When the original parabola has been reflected across the x-axis, the pertinent equation becomes y = -x^2.

Now if this is scaled vertically by a factor of 1/8, we get:

y = (-1/8)x^2

Answer:

B, D and E.

just trust me

The angle made by the apothem and the radius would be; 30 degrees. Then the correct option is B.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

The apothem of a regular hexagon = 8 cm.

Then the side length of the hexagon will be

[tex]\rm x = \dfrac{8}{\sin 60^o}= 9.24\ cm[/tex]

The perimeter of the hexagon;

Perimeter = 6 × 9.24 = 55.43 cm

The area of the hexagon;

Area = 0.5 × 8 × 9.24 = 36.95 cm².

The angle made by the apothem and the radius = 30 degrees.

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Answer:

(B) (7x - 6 ) ( 7x + 6)

Step-by-step explanation:

49x^2 - 36

This is the difference of squares

(7x)^2 - 6^2

We can factor this as

(a^2 -b^2) =(a-b) (a+b)

(7x)^2 - 6^2 = (7x-6) (7x+6)

Answer:

The tree is 17.5 ft tall

Step-by-step explanation:

We can use proportions to solve this.

Notice that Emily (5 feet tall) and her shadow (8 feet long) constitute the two legs of a right angle triangle (see attached image).

The nearby tree  (unknown height H), will also cast a shadow (28 ft long) with the same inclination as Emily does due to the unique position of the sun relative to them.

Then we can use the proportion associated with the sides of similar triangles:

[tex]\frac{5\,ft}{8\,ft} =\frac{H}{28\,ft}[/tex]

Then, we can solve for H in the equation:

[tex]\frac{5\,ft}{8\,ft} =\frac{H}{28\,ft} \\H=\frac{28*5}{8} \,ft\\H=17.5 \.ft[/tex]

Answer: No!

Step-by-step explanation:

Answer: No

Step-by-step explanation: If you take 944544 and divide it by 5, you will end up with 188908.8

Answer:

D

Step-by-step explanation:

sqrt(7) = about 2.6

and that divided by 2 is

0.8  which means D is the Answer

Answer:

19 5/8 miles

Step-by-step explanation:

First you convert all fractions into improper fraction which are

5 4/8 = 44/8

7 4/8 = 60/8

6 5/8 = 53/8

Then add just the numerators together as the denominator stays the same which looks like 157/8

Then see how many times 157 goes into 8 which is 19 with 5 left over

So you rewrite the answer as 19 5/8 miles

Answer:

The correct answer is 2.45.

Step-by-step explanation:

Probability model of an office manager regarding reports from employees is given by:

X = 0; P(X) = 0.05

X = 1; P(X) = 0.15

X = 2; P(X) = 0.35

X = 3; P(X) = 0.25

X = 4; P(X) = 0.15

X = 5; P(X) = 0.05

Now expectation of number of emails that the manager would receive is given by X × P(X)

= 0 × 0.05 + 1 × 0.15 + 2 × 0.35 + 3 × 0.25 + 4 × 0.15 + 5 × 0.05

= 0 + 0.15 + 0.70 + 0.75 + 0.60 + 0.25

= 2.45

The correct answer is 2.45.

X = 0; P(X) = 0.05

X = 1; P(X) = 0.15

X = 2; P(X) = 0.35

X = 3; P(X) = 0.25

X = 4; P(X) = 0.15

X = 5; P(X) = 0.05

Now the number of emalis should be

= 0 × 0.05 + 1 × 0.15 + 2 × 0.35 + 3 × 0.25 + 4 × 0.15 + 5 × 0.05

= 0 + 0.15 + 0.70 + 0.75 + 0.60 + 0.25

= 2.45

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Answer:

The discrimant of this equation is 144.

Step-by-step explanation:

First you have to move all the variables to one side to make the equation/expression into 0 by substracting 8x² to both sides :

9x² + 14x + 13 = 8x²

9x² + 14x + 13 - 8x² = 8x² - 8x²

x² + 14x + 13 = 0

It is given that the formula of discriminant is, D = b² - 4ac where a&b&c represent the number of the equation, ax²+bx+c = 0 :

x² + 14x + 13 = 0

D = b² - 4ac

= 14² - 4(1)(13)

= 196 - 52

= 144

Final answer:

The discriminant of the quadratic equation 9x²+14x+13=8x² is found by simplifying to x²+14x+13=0 and using the formula b² - 4ac, yielding a result of 144.

Explanation:

The student's question involves finding the discriminant of the quadratic equation 9x² + 14x + 13 = 8x². We simplify this equation by subtracting 8x² from both sides, resulting in x² + 14x + 13 = 0.

The discriminant of a quadratic equation ax² + bx + c = 0 is given by b² - 4ac. For this equation, a = 1, b = 14, and c = 13. Substituting these into the discriminant formula gives (14)² - 4(1)(13) = 196 - 52 = 144.

Since the discriminant is positive, there are two distinct real roots to the equation. This could be relevant if we were to graph the equation, indicating where it crosses the x-axis, or if further solving for x was required.

Answer:

Step-by-step explanation:

250 divided by 20= 12.5

So 12.5 miles per gallon.

12.5. The answer ask for how many miles in 1 gallon. So, you do 250 divided by 20. 250 divided by 20 is 12.5, so he will drive 12.5 or 12 1/2 miles using each gallon of gas.

ANSWER : 12.5 or 12 1/2

Answer:

56%

Step-by-step explanation:

U reported me and the answer got deleted so

14:25*100 =

( 14*100):25 =

1400:25 = 56

here's your step by step explanation

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bye

Answer:

56%

Step-by-step explanation:

Is means equals and of means multiply.  Let P be the percent

14 = P * 25

Divide each side by 25

14/25 = 25P/25

.56 = P

Change to percent form

56% =P

answer 1 is : 144

Answer2:21.60

Answer:

144 and 21.60

Step-by-step explanation: