The slope of the line below is -1/7.


Write a point-slope equation of the
using the coordinates of the labeled point.
(3,3)

(2-c,y) is the answer for the problem.

Answer: 225°

Step-by-step explanation:

To convert radians to degrees, multiply by 180/π (1 rad = 180° )

(5π/4) * (180/π/) = 225°

The probability of P(X=3) = 0.3249. In summary, we can use the binomial probability formula to calculate the probability of obtaining exactly k=3 successes in a binomial distribution with n=6 trials and a probability of success p=0.47 on a single trial.

Using the binomial probability formula, the probability of getting exactly k successes in n trials is given by:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

Plugging in the values, we have:

P(X=3) = (6 choose 3) * 0.47^3 * (1-0.47)^(6-3)

Using the binomial coefficient formula (6 choose 3) = 6! / (3! * (6-3)!), we can calculate the probability:

P(X=3) = (6! / (3! * 3!)) * 0.47^3 * (1-0.47)^(6-3)

Evaluating the expression yields the probability of P(X=3) = 0.3249 (rounded to four decimal places).

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Answer:

-5: Real, Rational, Integer

9: Real, Rational, Integer, Whole, Natural

1/8: Real, Rational

0: Real, Rational, Integer, Whole

12/3: Real, Rational, Integer, Whole, Natural

9.5: Real, Rational

1.23659123544781...: Real, Irrational

2.888..: Real, Rational

Let me know if this helps!

Answer:

Robert spent $16.5375 for the trail mix.

Explanation:

1 pounds ⇒ $6.75

2.45 pounds ⇒ ( $6.75 * 2.45 ) = $16.5375

Total cost:-

Remember that

P(A or B)=P(A)+P(B)-P(A and B)

In this problem, we have that

Event A and Event B are not independent

we have

P(A)=0.68

P(B)=0.32

P(A and B)=0.11

substitute

P(A or B)=0.68+0.32-0.11

P(A or B)=0.89

The boy can wear 720 different outfits to school if he must wear one of each item, we need to find the number of combinations of one pair of pants, one shirt, one tie, and one jacket. The number of different combinations of pants he can wear is 8.

The number of different combinations of shirts he can wear is 5.

The number of different combinations of ties he can wear is 3.

The number of different combinations of jackets he can wear is 6.

To find the total number of different outfits, we multiply the number of combinations of each item:

8 * 5 * 3 * 6 = 8 * 90 = 720

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Answer: E only

Step-by-step explanation:

Had the test

The expressions are also equal to 1/3 is cos (90 -x).

These relations are valid for all the values of A that lies between 0° and 90°.

Given:

sin x = 1/3

Now, using property

sin \(\theta\) = cos \(( 90- \theta)\)

So, sin x= cos (90 -x)

Hence, The expressions are also equal to 1/3 is cos (90 -x).

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Biometric Research Corporation's decision to incorporate for a purpose other than profit underscores their commitment to utilizing biometric technology for societal advancement and addressing pressing challenges through innovative and responsible means.

Biometric Research Corporation, in its attempt to incorporate for a purpose other than making a profit, demonstrates a shift towards a non-profit or socially driven organization. Biometric technology refers to the measurement and analysis of unique physical and behavioral characteristics of individuals, such as fingerprints, facial features, or iris patterns, to authenticate and identify individuals.

In this context, Biometric Research Corporation might focus on leveraging biometric technology for societal benefits rather than maximizing financial gains. Their purpose could involve conducting research to advance biometric technology, developing open-source biometric solutions, or collaborating with public institutions to enhance security measures or support humanitarian efforts.

By operating with a non-profit objective, Biometric Research Corporation can prioritize the development and deployment of biometric technology in ways that serve the common good. This may involve exploring applications in areas such as healthcare, public safety, border control, or disaster response, aiming to improve efficiency, accuracy, and security while ensuring privacy protection and ethical considerations.

Overall, Biometric Research Corporation's decision to incorporate for a purpose other than profit underscores their commitment to utilizing biometric technology for societal advancement and addressing pressing challenges through innovative and responsible means.

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Answer:

GIVE ME MY RAMEN

Step-by-step explanation:

3.

add like terms

30 + 7k = 100

100-30 = 70

70 divided by 7k = 10

k = 10

4. add the z's together

2z - 6 -2 = -10

+ 6 + 2

-10 will be -2 now since we dragged the -6 and -2 to the other side

2z = -2

z = -1

5. 3.2x - 1.7x = 1.5x

1.5x + 5.5 = 10

10 would be 4.5 since we dragged 5.5 to the other side so it would be 10 - 5.5

3.2x = 5.5

x = 1.71875

6.

3/4x - 1/4x = 2/4x

14 - 3 = 11

2/4x = 11

x = 22

Answer:

what do you mean haha?? I'm confused about what your asking..

Answer:

No but thanks for the offer ^^

Step-by-step explanation:

To determine the probability that the specification for the clearance is met, we need to assume that the clearance follows a normal distribution. We can then use the standard normal distribution to calculate the probability that a clearance falls within the given specification range.

Assuming a normal distribution, we can use the formula for the standard normal distribution to calculate the probability that a clearance falls within the range of 0.015 to 0.063 mm:

z = (x - μ) / σ

where z is the z-score, x is the value we want to find the probability for, μ is the mean of the distribution (which we assume to be the midpoint of the specification range, i.e., (0.015 + 0.063) / 2 = 0.039 mm), and σ is the standard deviation of the distribution (which we assume to be (0.063 - 0.015) / 6 = 0.008 mm).

Using these values, we can calculate the z-scores for the lower and upper limits of the specification range:

z1 = (0.015 - 0.039) / 0.008 = -3

z2 = (0.063 - 0.039) / 0.008 = +3

We can then look up the area under the standard normal distribution curve between these two z-scores using a standard normal distribution table or a statistical software program. This area represents the probability that a clearance falls within the specification range. The area is approximately 0.9973, or 99.73%.

Therefore, we can say that there is a 99.73% probability that the specification for the clearance is met.

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Answer:

It might be weird but i is the answer and I don't know why exactly.

Step-by-step explanation:

I think it's because there is no real number when having a negative square.

Answer:

96ft^3 (The third option)

Step-by-step explanation:

The volume of a prism is derived by the formula length*width*height. This is also known as the base*height. The base here is 6*4, but since it's a triangle, we divide by 2 to get 12 as the base. the height is 8, so 12*8=96 ft^3. Hope this helps!

The trigonometric ratio sine compares the lengths of the right triangle's two sides. Sin, though commonly abbreviated to sin, is actually pronounced sine.

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Triangles DEF and HFG are similar to each other

Given: Line DE is parallel to line GH

Statement Reason

< DEF = < GHF Alternate angles

Answer:

i have no idea what is the question would you please provide me exact questions

Answer:

what?

Step-by-step explanation:

doesnt understand

We have a problem of a sysmtem of equation

x is the number tickets sold of general admission

y is the number o tickets sold for seniors

The first equation is about the number of ticktes sold

x+y=155

the second equation is about the amount of money

12x+9y=1680

we isolate x of the first equation

x=155-y

we substitute the equatio above in the second equation

12(155-y)+9y=1680

1860-12y+9y=1680

we isolate the y

-3y=1680-1860

-3y=-180

y=-180/-3

y=60

then we substitute the value of y in order to find x

x=155-y

x=155-60

x=95

They sold 95 tickets of general admission

Answer:

   = -1/5

Step-by-step explanation:

To find the slope we use

m = ( y2-y1)/(x2-x1)

   = ( -5 - -6)/(-7 - -2)

  ( -5 +6)/(-7 +2)

    1/-5

   = -1/5

Answer:

-1/5

Step-by-step explanation:

Y2 - Y1 / X2 - X1

-6 - -5 / -2 - -7

Convert: -6 + 5 / -2 + 7

-1/5

Hope that helps!

The maximum height of the parabola approximating the given trajectory is approximately 5.22 units.

To approximate the trajectory with a parabola in the least squares sense, we need to find the best-fitting quadratic function of the form y = ax² + bx + c. We can use the method of least squares to minimize the sum of the squares of the vertical distances between the data points and the parabola.

1. Set up a system of linear equations using the given data points: (0,0), (1,3), (2,5), and (3,4).
2. Solve the system using linear algebra or other methods to find the coefficients a, b, and c.
3. Determine the maximum height of the parabola using the vertex formula: x = -b/(2a).
4. Plug the value of x back into the equation y = ax² + bx + c to find the maximum height.

Following these steps, we find that the best-fitting parabola is approximately y = -0.5x² + 2.5x + 0.5. The maximum height occurs at x = -b/(2a) ≈ 2.5, and the corresponding height is approximately 5.22 units.

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Answer:

(x+6)=3

Step-by-step explanation:

-3

Answer:

52

Step-by-step explanation:

42, 45, 58, 63

The mean is the sum divided by the number of terms

(42+ 45+ 58+ 63)/4

208/4

52

Answer:

Step-by-step explanation:

42 + 45 + 58 +631 + 422 + 473 + 52 = 1723

then divide by 7 to get 246.142857

hope this helps :)

Answer:

y=30

x=3

Step-by-step explanation:

~may it help you~

(3.1×10^5) × (2.0×10^-2) = 6.2×10^3

When multiplying numbers in scientific notation, you multiply the coefficients and add the exponents.

In this case, (3.1×10^5) × (2.0×10^-2) equals 6.2×10^3. The coefficient 3.1 multiplied by 2.0 gives 6.2, and the exponents 5 and -2 are added to give 3.

When dividing numbers in scientific notation, you divide the coefficients and subtract the exponents. So, (7.0×10^9) ÷ (2.0×10^2) equals 3.5×10^7. The coefficient 7.0 divided by 2.0 gives 3.5, and the exponents 9 and 2 are subtracted to give 7.

To divide two numbers in scientific notation, divide the coefficients and subtract the exponent of the divisor from the exponent of the dividend. Hence, (2.8×10^-4) ÷ (9.6×10^-2) is equal to 2.9×10^-3. Dividing 2.8 by 9.6 gives 0.29, and subtracting the exponent -2 from -4 gives -3.

When squaring a number in scientific notation, square the coefficient and double the exponent. Therefore, (5.0×10^-4)^2 equals 2.5×10^-7. Squaring 5.0 gives 25.0, and doubling the exponent -4 gives -8.

Subtracting two numbers in scientific notation requires aligning the exponents and then subtracting the coefficients. (8.50×10^5) − (3.0×10^4) equals 8.20×10^5. The coefficient 8.50 minus 3.0 gives 5.50, and the exponent 5 remains the same.

Dividing a number in scientific notation by a regular number involves dividing the coefficient and keeping the exponent the same. Thus, (6.4×10^-3) ÷ 2 is equal to 3.2×10^-5. Dividing 6.4 by 2 gives 3.2, and the exponent -3 remains unchanged.

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Those two trains met 4 hours after 1 pm or at 5 pm. They met at 350 miles from train A's starting point.

The relation between distance, speed, and time is given by:

distance = speed x time

In the given problem:

Train A leaf at 12.00 pm, with

speed = 70 mph

Since train B left at 1 pm, by the time train B left, train 1 has travelled a distance of:

distance train A = 70 mph x 1 hour = 70 miles.

Hence, when train A and train B left at 1 pm, they are 550 - 70 = 480 miles apart.

Let

sA = distance travelled by train A since 1 pm

sB = distance travelled by train B since 1 pm

Hence,

sA = 70 t

sB = 50 t

When they met:

sA + sB = 480

70t + 50t = 480

120t = 480

t = 480/120 = 4 hours

Therefore, the met at 5 pm. At that time, train A has travelled 5 hours and its position is:

distance = 70 x 5 = 350 miles from its starting point.

Your question seems incorrect, most probably the correct question was:

Two trains heading toward each other from 550 miles apart one leaves at noon with a speed of 70 mph and the other leaves at 1 with a speed of 50 mph when they meet how far are they from train a starting point

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Explanation:

We were given the equation:

The slope-intercept is represented by:

Rewriting the equation into its slope-intercept form, we have:

Therefore, the equation in slope-intercept is: y = -(8/3)x + 4

We will now input assumed values for "x" to obtain corresponding y-values. We have:

We will proceed to plot these points on the graph, we have:

The upper bound of the 92% confidence interval for the average human body temperature of all healthy adults is 97.2973 (rounded to 4 decimal places).

To construct a confidence interval for the average human body temperature of all healthy adults based on the given sample data, we can use the following formula:

Confidence Interval = Sample Mean ± (Critical Value)×(Standard Deviation / √Sample Size)

Since the sample size is 128 and we want to construct a 92% confidence interval, we need to find the critical value associated with this confidence level. Using statistical software such as R, we can calculate the critical value as follows:

R

Copy code

critical_value <- qt(0.96, df = 127)

Now, we can substitute the values into the confidence interval formula:

R

Copy code

sample_mean <- 97.2

standard_deviation <- 0.8

sample_size <- 128

margin_of_error <- critical_value ×(standard_deviation / √(sample_size))

confidence_interval_lower <- sample_mean - margin_of_error

confidence_interval_upper <- sample_mean + margin_of_error

confidence_interval_upper

After evaluating these calculations in R, the upper bound of the 92% confidence interval for the average human body temperature of all healthy adults is 97.2973 (rounded to 4 decimal places).

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Answer: x −x  3  +x  2  +623x−2

​

Step-by-step explanation: