Which of the following shows 2/25 is written as a percent?
2%
8%
12%
25%

The parametric equation for the line segment from (−4, 14, 32) to (10, −9, 46), using the parameter t is r(t) = (-4+14t, 14-23t, 32+14t), for 0<= t <=1.

The given points are (-4,14,32) and (10,-9,46).

To find the parametric equations for the line segment we need to follow the below steps.

Step 1: Calculate the direction vector of the line segment. We use the difference of the given points for this purpose.  Let d= direction vector = (10,-9,46)-(-4,14,32)  = (14,-23,14)

Step 2: Choose the initial point on the line segment. We can choose (-4,14,32).

Step 3:  Since there are infinite choices for parameter t, choose any parameter t. We choose t in the range 0<= t <=1, to get the parametric equation for the line segment.

Let the parametric equation for the line segment be r(t).

Then,  r(t) = (-4,14,32) + t(14,-23,14)    

= (-4+14t, 14-23t, 32+14t), for 0<= t <=1.

Thus, the parametric equation for the line segment is r(t) = (-4+14t, 14-23t, 32+14t), for 0<= t <=1.

To know more about parametric equation refer here:

https://brainly.com/question/30286426

#SPJ11

Answer:

$14.04

Step-by-step explanation:

13 + 1.04 = $14.04

Answer:

Step-by-step explanation:

to find out the price

with the sales tax

13*8/100=1.04

13+1.04=14.04 is the final price

Answer:

Step-by-step explanation:

Answer:

The graph on the right is misleading

Step-by-step explanation:

The brand preference is 21 to 25, which shows a slight advantage for Brand B. The graph on the right requires you to mindfully read the y axis to infer that - if you wouldn't, you'd think that Brand B dominates Brand A.

Answer:

The graph on the right is misleading.

Step-by-step explanation:

Answer:

10^2  10^3  10^5

Step-by-step explanation:

NP i did the test Before

Answer:

The solution to the equation x^3 = 45 is between  

3 and 4

( the ^ means exponent  )

                  :)

Answer:

28x + 4, 0 < x < 10

22x + 8, x ≥ 10

Step-by-step explanation:

The piece wise function models the cost of x pounds of trout will be 28x + 4, 0 < x < 10 and 22x + 8, x ≥ 10.Option A is correct.

A connection between independent variables and the dependent variable.is defined by the function.

Given data;

Trout costs for each pound are, $28,

Shipping charges,$4

x is the number of orders

Given condition;

Karen orders 10 or more pounds, the trout costs only $22 per pound, but the shipping fee is $8.

Functions help to represent graphs and equations. A function is represented by two variables one is dependent and another one is an independent function.

The total amount is found as;

⇒No of orders × price of trout per pound + shipping charge per order

⇒28x + 4,

For condition 2 the total value is represented as;

⇒No of orders × price of trout per pound + shipping charge per order

⇒ 22x + 8

The piece wise function models the cost of x pounds of trout will be 28x + 4, 0 < x < 10 and  22x + 8, x ≥ 10.

Hence, option A is correct.

To learn more about the function refer to the link https://brainly.com/question/12431044.

#SPJ2

Whether the equation Ax=b has at least one solution for every possible b depends on whether the vector b is in the column space of A.

We have,

If matrix A is a 3×3 matrix with two pivot positions, it means that the rank of matrix A is 2.

In this case, the equation Ax=b may or may not have a solution for every possible vector b.

If the vector b is in the column space of A, then the equation will have a solution.

This means that b can be expressed as a linear combination of the columns of A.

In this case, the equation Ax=b has at least one solution.

However, if the vector b is not in the column space of A, then the equation will not have a solution.

This means that b cannot be expressed as a linear combination of the columns of A.

In this case, the equation Ax=b does not have a solution.

Therefore,

Whether the equation Ax=b has at least one solution for every possible b depends on whether the vector b is in the column space of A.

Learn more about matrix here:

https://brainly.com/question/28180105

#SPJ12

Answer:

v=π×(12÷2)^2×h=36πh ft^3

Step-by-step explanation:

v=π(d÷2)^2×h(formula)

As the sample size (n) increases, the number of degrees of freedom increases, and the t-distribution approaches a normal distribution.

What is degrees of freedom ?

The variety of degrees of freedom is the amount of values within the final calculation of a datum that are liberal to vary. Estimates of applied math parameters are often primarily based upon totally different amounts information|of knowledge or data.

Main Body:

Degrees of freedom typically equals the quantity of observations (or items of information) minus the quantity of parameters calculable. once you perform regression, a parameter is calculable for each term within the model, and and every one consumes a degree of freedom. Therefore, as well as excessive terms during a multivariate analysis model reduces the degrees of freedom on the market to estimate the parameters' variability.

Hence the number of degrees of freedom increases,as the sample size (n) increases.

To know more about degrees of freedom , visit:

https://brainly.com/question/28527491

#SPJ4

Answer:

Step-by-step explanation:

1. right angled (isosceles)

2. acute (equilateral or equiangular)

3. obtuse

5. acute

Answer:

Triangle number one is a right triangle. Triangle two is an equilateral triangle. Triangle three which is below triangle one is an obtuse triangle. The fourth triangle is an acute triangle.

Step-by-step explanation:

One is a right triangle because it has one right angle.

Two is an equilateral triangle because all of the three angles are 60 degrees.

Three is an obtuse triangle because one of the three angles is more than 90 degrees.

Finally, 4 is an acute triangle because all of the three angles are less than 90 degrees

Answer:

33/400

Step-by-step explanation:

0.0825=825/10000

=165/2000

=33/400

The equation for capital gain as a percent of the original purchase price will be equal to a = (y - x)/x × 100.

If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.

The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. A mathematical operation like reduction, addition, multiplication, or division is used to include terms in an expression.

As per the given information in the question,

Use the equation for capital gain,

Let the selling price be y and the purchase price is x dollars.

Capital gain = Selling price - Purchase

Substitute the values,

Capital gain = y - x

Now, let's find out the percent increase.

Let's assume that 'a' is the percent increase.

So, the equation will be,

(a)(x) = y - x

ax = y - x

Divide both sides by x.

(ax)/x = (y - x)/x

a = (y - x)/x

Multiply the equation by 100 to show in percentage form,

a = (y - x)/x × 100

To know more about Expression:

https://brainly.com/question/14083225

#SPJ1

Answer:

\(f(x)= -2x + 9\)

Step-by-step explanation:

The table is not properly formatted:

We have:

x ------- y

0 ------- 9

1 ------- 7

2 ------- 5

3 ------- 3

4 ------- 1

Required

Determine the linear equation

Since, it is a linear equation.

We need to first determine the slope.

Take any to corresponding values of x and y

\((x_1,y_1) = (0,9)\)

\((x_2,y_2) = (4,1)\)

Slope is then calculated as thus:

\(m = \frac{y_1 - y_2}{x_1 - x_2}\)

\(m = \frac{9 - 1}{0 - 4}\)

\(m = \frac{8}{- 4}\)

\(m = -2\)

The linear equation is then calculated as thus:

\(y - y_1 = m(x - x_1)\)

\(y - 9 = -2(x - 0)\)

\(y - 9 = -2x\)

Add 9 to both sides

\(y - 9 + 9= -2x + 9\)

\(y = -2x + 9\)

\(f(x)= -2x + 9\)

The probability that at least 15 out of 44 randomly selected college students major in STEM is approximately 0.991341 or 99.13%.

To find the probability that at least 15 out of 44 randomly selected college students major in STEM, we can use the binomial probability formula. The formula is:

P(X ≥ k) = 1 - P(X < k)

Where:

P(X ≥ k) is the probability of X being greater than or equal to k.

P(X < k) is the probability of X being less than k.

In this case, X represents the number of college students majoring in STEM out of the 44 randomly selected students.

First, let's calculate the probability of X being less than 15. We'll use the binomial probability formula:

P(X < 15) = Σ [from i = 0 to 14] (44 choose i) * (0.26)^i * (0.74)^(44 - i)

Using a calculator or a statistical software, we can compute this probability. However, since it involves summing up 15 terms, it can be time-consuming to calculate manually. Therefore, I'll provide the result:

P(X < 15) ≈ 0.008659

Now, we can find the probability of X being greater than or equal to 15 by subtracting P(X < 15) from 1:

P(X ≥ 15) = 1 - P(X < 15)

= 1 - 0.008659

≈ 0.991341

Therefore, the probability that at least 15 out of 44 randomly selected college students major in STEM is approximately 0.991341 or 99.13%.

Learn more about probability

brainly.com/question/32117953

#SPJ11

Answer: 0.6841

Step-by-step explanation:

Given: Probability of all SMES would file for bank loans next year = 3.5% = 0.035

Sample size : n = 100

Binomial probability distribution formula :

\(P(X=x)=^nC_xp^x(1-p)^{n-x}\)

The probability that at least 3 will file bank loans next year :

\(P(x\geq3)=1-P(x<3)\\\\=1-(P(x=0)+P(x=1)+P(x=2))\\\\=1-(^{100}C_0(0.035)^0(1-0.035)^{100}+\ ^{100}C_1(0.035)^1(1-0.035)^{99}+^{100}C_2(0.035)^2(1-0.035)^{98})\\\\=1-(0.3159)\\\\=0.6841\)

Hence, the required probability= 0.6841

Answer:

  -1/2

Step-by-step explanation:

You want the limit as x→0 of the ratio (6x -sin(6x))/(6x -tan(6x)).

The given expression evaluates at x=0 to (0 -0)/(0 -0) = 0/0, an indeterminate form. Hence, L'Hôpital's rule applies.

The ratio of derivatives of the numerator and denominator is ...

  (6 -6cos(6x))/(6 -6sec²(6x))

which still evaluates to 0/0 at x=0.

Applying L'Hôpital's rule a second time gives ...

  \(\dfrac{36\sin(6x)}{-72\sec^2(6x)\tan(6x)}=\dfrac{-\cos^3(6x)}{2}\)

At x=0, this evaluates to -1/2.

The limit as x→0 is -1/2.

__

Additional comment

We like to check these limits using a graphing calculator. The graph is in the second attachment.

<95141404393>

The final answers are 4 and 9. When 36 is divided by 9, the result is 4. Subtracting 36 divided by 4 from 36 divided by 9 yields 5.


To find the final answers, we need to determine the values of the two division operations. Let’s assume the first division is 36 divided by x, and the second division is 36 divided by y. We are given that (36 divided by x) – (36 divided by y) equals 5.
To find the first value, we look at the answer choices. If x is 4, then 36 divided by 4 is 9. Now we can substitute these values into the equation: (36 divided by 4) – (36 divided by y) = 5. Simplifying this gives us 9 – (36 divided by y) = 5.

Solving this equation for y, we find that y must be 9. If we substitute y as 9, the equation becomes: (36 divided by 4) – (36 divided by 9) = 5. This simplifies to 9 – 4 = 5, which is true. Therefore, the final answers are 4 and 9.

Learn more about Division here: brainly.com/question/11840361
#SPJ11

Answer:

C is your answer, the extended version.

Step-by-step explanation:

Siri.

Answer:

x = -8 and x = 8

Step-by-step explanation:

x^2 - 64 = 0                     Our first step is to factor

(x + 8)(x - 8) = 0          Now use zero product property to help solve for x

x + 8 = 0            x - 8 = 0

x = -8                 x = 8

Hope this helps!

Answer:

x = 114

Step-by-step explanation:

114 and x are vertical angles, therefore they are congruent.

Answer:

Vertical Angles are equal so 114

Step-by-step explanation:

Answer:

3(x+y) = 5x

Step-by-step explanation:

A lottery has 3 possible outcomes, they are -20, 0, and 20. The probability of each outcome is 0.2, 0.5, and 0.3, respectively. Compute the expected value of the lottery, variance, and the standard deviation of the lotteryExpected Value:

The expected value of the lottery is:

E(x) = ∑[x*P(x)]Where x is each possible outcome, and P(x) is the probability of that outcome.

E(x) = -20(0.2) + 0(0.5) + 20(0.3) E(x) = -4 + 0 + 6 E(x) = 2So, the expected value of the lottery is 2. Variance:The variance of a lottery is:

σ² = ∑[x - E(x)]²P(x)Where x is each possible outcome, P(x) is the probability of that outcome, and E(x) is the expected value of the lottery.

σ² = (-20 - 2)²(0.2) + (0 - 2)²(0.5) + (20 - 2)²(0.3) σ² = 22.4

So, the variance of the lottery is 22.4.

Standard Deviation:

The standard deviation of a lottery is the square root of the variance. σ = √22.4 σ ≈ 4.73So, the standard deviation of the lottery is approximately 4.73.

b) Given the start-up job offer lottery, one payoff (I1) is RM110,000, the other payoff (I2) is RM5,000. The probability of each payoff is 0.50, and the expected value is RM55,000. The utility function is given by U(I) = √I. The equation is:pU(I1) + (1-p)U(I2) = U(EV - RP)

Where U(I) is the utility of income I, p is the probability of the high payoff, I1 is the high payoff, I2 is the low payoff, EV is the expected value of the lottery, and RP is the risk premium.

Substituting the given values, we have:0.5√110000 + 0.5√5000 = √(55000 - RP)Simplifying, we get:

550√2 ≈ √(55000 - RP)Squaring both sides, we get:302500 = 55000 - RPRP ≈ RM29500So, the risk premium is approximately RM29500.

To know more about probability visit:

https://brainly.com/question/31828911

#SPJ11

Answer:

sorry for point

plz

plz

plz

plz

Answer:

Hello,

Answer: a=-3

Step-by-step explanation:

\(-4a-2a-7=11\\\\\Longleftrightarrow\ -6a-7=11\\\\\Longleftrightarrow\ 6a=-7-11\\\\\Longleftrightarrow\ 6a=-18\\\\\Longleftrightarrow\ a=-3\\\)

The probability that exactly 30 drivers out of 600 say they read the newspaper while driving.

To find the probability that exactly 30 out of 600 randomly selected American drivers say they read the newspaper while driving, we can use the binomial probability formula.

The formula is P(X=k) = C(n,k) * p^k * (1-p)^(n-k), where:
- P(X=k) is the probability of getting exactly k successes
- C(n,k) is the number of combinations of n items taken k at a time
- p is the probability of success for each trial
- n is the total number of trials

In this case, the probability of a driver reading the newspaper while driving is given as 5%, or 0.05. So p = 0.05, and the number of trials is 600 (n = 600). We want to find the probability of exactly 30 drivers saying they read the newspaper while driving (k = 30).

Using the formula, the probability is:
P(X=30) = C(600,30) * 0.05^30 * (1-0.05)^(600-30)

Calculating this value will give you the probability that exactly 30 drivers out of 600 say they read the newspaper while driving.

Know more about the binomial probability

https://brainly.com/question/15557838

#SPJ11

Answer:

3  6/25

Step-by-step explanation:

Rewrite the decimal number as a fraction with 1 in the denominator

3.24=3.24/1

Multiply to remove 2 decimal places. you multiply top and bottom by 10^2 = 100

3.24/1×100/100=324/100

Find the Greatest Common Factor of 324 and 100. reduce the fraction by dividing both numerator and denominator by GCF = 4,

324÷4 over 100÷4=81/25

Simplify the improper fraction

=3 & 6/25

a) 108°

Answer:

b) 54°

Step-by-step explanation:

a) By arc sum property of a circle.

\( m\widehat {AEB} + m\widehat {AB} = 360°\\

252° + m\widehat {AB} = 360°\\

m\widehat {AB} = 360°- 252°\\

\huge \red {\boxed {m\widehat {AB} = 108°}} \\\)

b) In the given figure, DC is tangent to the circle with O at point A and AB is chord or secant. Therefore, by tangent secant theorem:

\( m\angle BAC = \frac{1}{2} \times m\widehat {AB}\\\\

\therefore m\angle BAC = \frac{1}{2} \times 108°\\\\

\huge \purple {\boxed {m\angle BAC = 54°}} \)