select the interval where f is positive

Step-by-step explanation:

see above for the following

Answer:

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

Find the scale factor:

Find the value of d:

We will use the "Either of the rules" to calculate the probability that either the top card is the ace of spades or the bottom card is the ace of spades.

The either of the rules states that the probability of either of two mutually exclusive events occurring is the sum of their individual probabilities. In this case, the events are the top card being the ace of spades and the bottom card being the ace of spades. Since the two events are mutually exclusive (the ace of spades cannot be both at the top and at the bottom of the deck), we can add their probabilities to get the total probability.

The probability of the top card being the ace of spades is 1/52 (since there is only one ace of spades in the deck of 52 cards), and the probability of the bottom card being the ace of spades is also 1/52 (assuming that the deck has been sufficiently shuffled). Therefore, the probability of either the top card or the bottom card being the ace of spades is:

P(top or bottom is ace of spades) = P(top is ace of spades) + P(bottom is ace of spades)

= 1/52 + 1/52

= 2/52

= 1/26

So the chance that either the top card is the ace of spades or the bottom card is the ace of spades is 1/26 or approximately 0.038 or 3.8%.

Learn more about probabilities

https://brainly.com/question/30029248

#SPJ4

The probability is 2/52 or 1/26.

To find the chance that the top card is the ace of spades or the bottom card is the ace of spades, you will use the

Addition rule.

Calculate the probability of the top card being the ace of spades:

There are 52 cards in a deck, and 1 ace of spades, so the probability is 1/52.

Calculate the probability of the bottom card being the ace of spades:

This is also 1/52 since there's still 1 ace of spades among the 52 cards.

Apply the Addition rule:

Add the probabilities together, then subtract the probability of both events happening at the same time (which is 0, as

the ace of spades can't be in both positions).

So, the probability is (1/52) + (1/52) - 0 = 2/52 or 1/26.

for such more question on probability

https://brainly.com/question/13604758

#SPJ11

Answer: x(squared) + (y + 2)(squared) = 36

Step-by-step explanation:

The center of the circle is at (0 , -2), so we will eliminate the x value by just writing x(squared), and then we will write the y value as (y + 2)(squared) because the standard form for a circle is

(x - h)(squared) + (y + 2)(squared) = r(squared)

And if we count from the center to the top point of the circle, the number would be 6, so we would square 6 which would be 36.

Answer: for 2 its 33, for 3 its 850, for number 4 its 60

Step-by-step explanation:

1: 20+13=33, so 33-20=13

2: 900-50=850

4: 15x4=60

The average velocity for the [3,4] is 27m/s and for [4,5] is 37m/s

The average velocity can be found by taking the derivative of the position function and evaluating it at the midpoint of the interval.

The average velocity on the interval [3,4] is given by (s(4) - s(3)) / (4 - 3), which is equal to (s(4) - s(3)) / 1. Using the position function, s(t) = 5t^2 - 8t + 13, we find that s(4) = 5(4²) - 8(4) + 13 = 61 and s(3) = 5(3²) - 8(3) + 13 = 34. Therefore, the average velocity on the interval [3,4] is (61 - 34) / 1 = 27 m/s.

The average velocity on the interval [4,5] is given by (s(5) - s(4)) / (5 - 4), which is equal to (s(5) - s(4)) / 1. Using the position function, s(t) = 5t² - 8t + 13, we find that s(5) = 5(5²) - 8(5) + 13 = 98 and s(4) = 5(4²) - 8(4) + 13 = 61. Therefore, the average velocity on the interval [4,5] is (98 - 61) / 1 = 37 m/s.

To know more about average velocity click on below link:

https://brainly.com/question/862972#

#SPJ11

in traingle ABC and traingle KTD

AB = KT

BC = TD

AC = KD

now about angle

angle A = k

angle B = T

angle C = D

hope it helps

Step-by-step explanation:

The line representing the equation 7x1 + 4x2 = 28 goes through the points (4,0) and (0,7).

The horizontal distance to the control tower is approximately 18506.83m

Data;

To solve this problem, we need to use trigonometric ratio SOHCAHTOA.

In this case, we have the value of opposite and angle and we need to find the adjacent to the angle. The tangent of the angle would be perfect for this.

\(tan\theta = \frac{opposite}{adjacent} \\tan11.4 = \frac{3900}{x}\\x = \frac{3900}{tan11.4}\\ x = 18506.83m\)

The horizontal distance to the control tower is approximately 18506.83m

Learn more on trigonometric ratio here;

https://brainly.com/question/4326804

Answer:

-12 is the answer for this question

Step-by-step explanation:

make me as brainlist

Answer:

\(x\leq-11\)

Step-by-step explanation:

The probability that the second binary digit of an 8-byte string, generated uniformly at random, is 1 is 0.5 or 50%.

To calculate the probability that the second binary digit of an 8-byte string is 1, we need to determine the total number of possible 8-byte strings and the number of strings where the second binary digit is 1.

In an 8-byte string, each byte can have 2 possible values (0 or 1).

Therefore, the total number of possible 8-byte strings is 2^8 = 256.

For the second binary digit to be 1, we fix the value of the second byte to be 1 (since the first byte is indexed as 0).

The remaining 7 bytes can take any value (0 or 1), giving us 2^7 = 128 possible combinations.

Thus, the number of 8-byte strings where the second binary digit is 1 is 128.

The probability is calculated by dividing the number of favorable outcomes (128) by the total number of possible outcomes (256):

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 128 / 256

Probability = 0.5

To know more about probability refer here:

https://brainly.com/question/11034287#

#SPJ11

Answer:

use photo math

Step-by-step explanation:

Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

Luis stock price still went up by $9.87, therefore, the stock increase is reasonable.

It is also known as share price, it refer to price of a single share of a number of sale-able equity shares of a company.

The original stock price was $53.80 and it went up by $12.35. This meant the current price equals to $66.15. The new price changed by −3(3/4)%. This means, the current price = $66.15  - ($66.15 * 3.75%) = 63.669375 = $63.67.

Therefore, even with the drop in value, the stock price still went up by $9.87 ($63.67 - $53.80), so he gained significantly in value.

Read more about stock price

brainly.com/question/28143339

#SPJ1

Answer:

70 km in an hour

Step-by-step explanation:

35 x 2 is 70

Answer:

Step-by-step explanation:

70km/h

Source: https://www.gigacalculator.com/calculators/average-speed-calculator.php

Answer:

b/w 19 & 55

Step-by-step explanation:

average of four equally weighted 100-point tests,

mark has scored 90, 86, and 85 on the first three.

C average = 70 and 79

90+86+85+x = 4*70 = 280, so x=19

90+86+85+x = 4*79 = 316, so x=55

Answer:

12 Miles is the answer! Hope you do Great!

Step-by-step explanation:

The correct is b i.e; the critical value times the standard error of the sampling distribution

Given options are :

a. The biggest sampling error that can be made while maintaining a certain level of confidence.

b. the critical value multiplied by the sampling distribution's standard error

c. the discrepancy between the parameter and the point estimate.

Margin of error

= C * SE

Where C is critical value of on

of is the Standard error

The multiple of Critical Value and Standard error is the margin of error

Correct Option is b i. e the critical value times the Standard error of Sampling distribution

Therefore, The margin of error is the product of Critical Value and Standard Error.

To learn more about Margin of error click here:

brainly.com/question/10501147

#SPJ4

Answer:

poggers ngl

Step-by-step explanation:

Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ

This retirement planning scenario involves saving a fixed amount per year, earning a specified interest rate, and determining the final retirement account balance, lump-sum investment amount, annual withdrawal in retirement, and required interest rate for a specific savings goal. The details are as follows:

a. retirement account balance of approximately $536,144.37

b. The lump sum required would be approximately $60,319.79.

c. With an account balance of $536,144.37, the annual withdrawal would be approximately $46,914.90.

d.  It would take approximately 16 years until the savings are depleted.

e. Through trial and error, it can be determined that an interest rate of approximately 10.47% is needed to achieve the desired savings goal.

a. The retirement account balance on the day of retirement can be calculated by using the formula for the future value of an ordinary annuity. In this case, saving $4,500 per year for 35 years with an annual interest rate of 5.5% will result in a retirement account balance of approximately $536,144.37.

b. To achieve the same retirement savings goal with a lump-sum investment today, the present value of an ordinary annuity formula can be used. The lump sum required would be approximately $60,319.79.

c. Assuming a retirement duration of 17 years and a desire to exhaust the savings with the 17th withdrawal, the annual withdrawal can be calculated using the formula for the annuity payment. With an account balance of $536,144.37, the annual withdrawal would be approximately $46,914.90.

d. If the decision is made to withdraw $90,000 per year in retirement, the number of years until the savings are exhausted can be determined using the formula for the number of periods in an annuity. It would take approximately 16 years until the savings are depleted.

e. If the maximum affordable annual saving is $900 and the goal is to retire with $1,000,000, the required interest rate can be calculated using the formula for the rate of return. Through trial and error, it can be determined that an interest rate of approximately 10.47% is needed to achieve the desired savings goal.

These calculations provide insights into the financial aspects of retirement planning and can help individuals make informed decisions about their savings, investments, and withdrawal strategies based on their specific goals and constraints.

Learn more about rate of return here:

https://brainly.com/question/30761579

#SPJ11

Answer:

Jessica, she has 1/3 or 0.333

Step-by-step explanation:

Bob has 1/4 which equals 0.25

and Jessica has 1/3 which equals 0.333

Jessica has the highest free throw ratio than Bob. Jessica's ratio of throws is 1:3 and Bob's ratio of throws is 1:4.

Given that,
Jessica made 8 out of 24 free throws. Bob made 5 out of 20 free
throws.
To determine who has the highest free throw ratio.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Jessica made 8 out of 24 free throws.
Ratio = 8 /24 = 1 / 3
Bob made 5 out of 20 free
Ratio = 5 / 20 = 1 / 4
1 / 3 > 1 / 4

Imply, Jessica has the highest free throw ratio than Bob.

Thus, Jessica has the highest free throw ratio than Bob.

Learn more about ratios here:

brainly.com/question/13419413

#SPJ2

the given terms ABCD and EFGH. Since the word limit is short, I'll keep it concise.

In geometry, the symbol "~" represents similarity between two shapes. When we say ABCD ~ EFGH, we mean that quadrilateral ABCD is similar to quadrilateral EFGH.

Similarity means that the shapes have the same angles and their corresponding sides are proportional.

To determine if ABCD ~ EFGH, we can follow these steps:

1. Compare corresponding angles: Check if angle A is congruent to angle E, angle B is congruent to angle F, angle C is congruent to angle G, and angle D is congruent to angle H. If all the angles match,

proceed to step 2.

2. Compare side ratios: Verify if the ratios of corresponding sides are equal.

For example,

check if \(AB/EF = BC/FG = CD/GH = DA/HE.\)

If these ratios are equal, then the shapes are similar.

In conclusion, when we say ABCD ~ EFGH, we imply that the quadrilaterals ABCD and EFGH are similar because they have congruent angles and proportional sides.

for such more questions on geometry

https://brainly.com/question/19241268

#SPJ11

Answer:

\( \dfrac{100}{3 \times 5} \)

Step-by-step explanation:

\( \dfrac{100}{3 \times 5} \)

Answer:

\( a^{-15} = \dfrac{1}{a^{15}} \)

Step-by-step explanation:

Definition of negative exponent.

\( a^{-n} = \dfrac{1}{a^n} \)

This case:

\( a^{-15} = \dfrac{1}{a^{15}} \)

Rewriting negative exponent with positive exponent we get,

\(5^{-15}=\frac{1}{5^{15}}\)

Given :

\(5^{-15}\) with negative exponent

To convert negative exponent to positive exponent we apply exponential property

\(a^{-n}=\frac{1}{a^n}\)

To make negative exponent to positive we take the exponent to the denominator

Apply the same property to write the given exponent using positive exponent

\(5^{-15}=\frac{1}{5^{15}}\)

Learn more:  brainly.com/question/16404573

Answer:

f(x) = x^2 -2x -8

Step-by-step explanation:

(x+2)(x-4)

FOIL

first: x*x = x^2

outer: -4x

inner: 2x

last: 2*-4x = -8

Add together

x^2 +2x-4x-8

x^2 -2x -8

This is a parabola

Answer:

√32 = c

Step-by-step explanation:

a^2 + b^2 = c^2

4^2 + 4^2 = c^2

16 + 16 = c^2

32 = c^2

√32 =c

9514 1404 393

Answer:

  (x, y, z) = (5, 11, 6)

Step-by-step explanation:

To solve this problem, you need to understand "row operations". The ones we're concerned with are multiplying a row by a scalar, and adding rows together.

You also need to understand what the solution looks like, and the usual way that is achieved. The solution will have the 3×3 matrix left of the vertical line be a diagonal of 1s (the identity matrix). Then the numbers to the right of the vertical line represent the solution.

__

In the following, we will use the notation [a]+b[c]⇒[d] to mean that row 'a' is added to the product of row 'c' and the scalar 'b' and that sum replaces row [d]. Multiplying a row by a scalar multiplies each element in the row by that scalar.

The first several operations look like this. Notice we have made the upper left 2×2 matrix an identity matrix. Steps will continue to take care of the 3rd column.

  \(\left[\begin{array}{ccc|c}1&1&1&22\\6&1&8&89\\-6&4&4&38\end{array}\right] \qquad\text{given}\\\\\left[\begin{array}{ccc|c}1&1&1&22\\0&-5&2&-43\\0&5&12&127\end{array}\right]\qquad\text{[2]+[3]$\rightarrow$[3];\ 6[1]+[2]$\rightarrow$[2]}\\\\\left[\begin{array}{ccc|c}1&1&1&22\\0&1&-0.4&8.6\\0&0&14&84\end{array}\right]\qquad\text{[2]+[3]$\rightarrow$[3];\ $-\frac{1}{5}$[2]$\rightarrow$[2]}\\\\\left[\begin{array}{ccc|c}1&0&1.4&13.4\\0&1&-0.4&8.6\\0&0&14&84\end{array}\right]\qquad\text{[1]-[2]$\rightarrow$[1]}\)

Now, we normalize the third column.

  \(\left[\begin{array}{ccc|c}1&0&1.4&13.4\\0&1&-0.4&8.6\\0&0&1&6\end{array}\right] \qquad\text{$\frac{1}{14}$[3]$\rightarrow$[3]}\\\\\left[\begin{array}{ccc|c}1&0&0&5\\0&1&0&11\\0&0&1&6\end{array}\right] \qquad\text{$-\frac{7}{5}$[3]+1$\rightarrow$[1];\ $\frac{2}{5}$[3]+[2]$\rightarrow$[2]}\)

This is the target of our row operations. It tells us the solution to the system of equations is ...

  (x, y, z) = (5, 11, 6)

_____

A number of online calculators and phone or tablet apps are available for putting a coefficient matrix into this "reduced row-echelon form." Many graphing calculators will do this, too.

In the end, this is not terribly different from ad hoc solution using "elimination" methods. That is precisely what we did when we created the zeros in the first two columns of row 3.

Assuming the person's weight and magnitude, we can estimate their weight to be 491N.

A mathematical object's magnitude or size defines whether it is greater or smaller than other items of its kind.

In formal terms, an object's size can be thought of as the outward manifestation of an ordering—of the class of objects to which it belongs.

So, the person's weight will be:

The scale calculates the floor's usual upward force on the passenger.

The most force is produced when going up (when starting an upward trip or ending a downward trip).

The normal force is lowest when there is a downward acceleration.

Regarding any such situation

∑F y​ =ma y changes to +391Nmg = ma for halting and +591Nmg=+ma for starting. (Where a represents the size of the acceleration.)

Add these two simultaneous equations to eliminate a and determine mg:

+591N−mg+391N−mg=0

OR

982N–2mg=0

Fg​ = mg = 982N/2​ = 491N

Therefore, assuming the person's weight and magnitude, we can estimate their weight to be 491N.

Know more about magnitude here:

brainly.com/question/24468862

#SPJ4

Complete question:

A person stands on a scale in an elevator. As the elevator starts, the scale has a constant reading of 591N. As the elevator later stops, the scale reading is 391N. Assuming the magnitude of the acceleration is the same during starting and stopping, determine the weight of the person.