waiting times to receive food after placing an order at the local subway sandwich shop follow an exponential distribution with a mean of 60 seconds. calculate the probability a customer waits: a. less than 30 seconds. (round your answer to 4 decimal places.) b. more than 120 seconds. (round your answer to 4 decimal places.) c. between 45 and 75 seconds. (round your answer to 4 decimal places.)

The measure of angle SPQ is 56°

the trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

Sin(θ) = opp/hyp

cosθ = adj/hyp

tanθ = opp/adj

To calculate the hypotenuse , we have known the adjascent to angle 28°.

Therefore;

cos 28 = 10/x

0.883 = 10/x

x = 10/0.883

x = 11.3

Represent angle SPR by y

cos x = 10/11.3

cos x = 0.883

x = 28°

Therefore the measure of angle SPQ is 28+28 = 56°

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The uncoded row matrices for the message "SELL CONSOLIDATED" with a row matrix size of 1 × 3 and encoding matrix A = 1 0 −1 −2 1 2 are:

1 -1 1

-2 0 0

-1 1 2

To obtain the uncoded row matrices for the given message, we need to multiply the message matrix with the encoding matrix. The message "SELL CONSOLIDATED" has a row matrix size of 1 × 3, which means it has one row and three columns.

The encoding matrix A has a size of 3 × 3, which means it has three rows and three columns.

To perform the matrix multiplication, we multiply each element in the first row of the message matrix with the corresponding elements in the columns of the encoding matrix, and then sum the results.

This process is repeated for each row of the message matrix.

For the first row of the message matrix [1 -1 1], the multiplication with the encoding matrix A gives us:

(1 × 1) + (-1 × -2) + (1 × -1) = 1 + 2 - 1 = 2

(1 × 0) + (-1 × 1) + (1 × 1) = 0 - 1 + 1 = 0

(1 × -1) + (-1 × 2) + (1 × 2) = -1 - 2 + 2 = -1

Therefore, the first row of the uncoded row matrix is [2 0 -1].

Similarly, we can calculate the remaining rows of the uncoded row matrices using the same process. Matrix multiplication and encoding matrices to gain a deeper understanding of the calculations involved in obtaining uncoded row matrices.

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Answer:

The W power is three to the one thousandths by I'm pretty sure should be divided to be 3/1000 which answer is 33.3333 and so on to the W

Step-by-step explanation:

Answer:  10

Step-by-step explanation:10x10x10=1000

Answer:

I would say the 3rd one, i think

Step-by-step explanation:

Isolate the variable by dividing each side by factors that dont contain variables

Answer: x=3

The number of sophomores after reducing ratio 1840.

What is ratio?

 A ratio in math displays how many times one number is contained in another. The ratio of oranges to lemons, for instance, is eight to six if there are eight oranges and six lemons in a bowl of fruit. In a similar way, the ratio of oranges to all other fruits is 8:14, while the ratio of lemons to oranges is 6:8.

Here the ratio is,

=> freshmen: sophomore = 12: 16

Here there total is 3220.

Total ratio = 12+16 = 28 ,

Then ,

28 = 3220

16 = x

After inter multiplication ,

=> x = \(\frac{3220*16}{28}\)

=> x = 1840.

Hence the number of sophomores is 1840.

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Answer:

B. -3

Step-by-step explanation:

From (-1,4) it goes down 3 (rise) units then 1 unit (run) to the right. Simply, its sloping to the left, so negative.

Solving using slope formula:

y2-y1/x2-x1

4--2/ -1-1

6/-2

3/-1

-3

Answer:  B

Step-by-step explanation:

y2-y1/x2-x1

-2-4/1-(-1)

-6/1+1

-6/2

-3

Answer:

its b

Step-by-step explanation:

i just did that question last period

Answer:

42.395

Step-by-step explanation:

Answer: V=1208.115

Step-by-step explanation:     To find volume of cylinder, use V=πr2h (the radius is squared) The diameter is 9 inches, thus the radius is 4.5 inches.  4.5 squared is 20.25. Now, pi is 3.14 and the height is 19. Do 3.14 times 20.25 times 19. There you go. There's your answer.

The volume of the cylindrical tank inside the water heater is approximately 1212.2 cubic inches.

The volume of the cylindrical tank inside a water heater with a diameter of 9 inches and a height of 19 inches can be calculated using the formula for the volume of a cylinder, which is V = πr²h.

First, we need to find the radius (r) of the cylinder, which is half the diameter. So, r = 4.5 inches.

Next, we can substitute the values of r and h into the formula:

V = π(4.5)²(19)

V ≈ 1212.2 cubic inches

Therefore, the volume of the cylindrical tank inside the water heater is approximately 1212.2 cubic inches.

To explain this calculation, we use the formula for the volume of a cylinder, which is V = πr²h. The diameter of the tank is given as 9 inches, so we find the radius by dividing the diameter by 2, which gives us 4.5 inches. The height of the tank is given as 19 inches. We then substitute these values into the formula and simplify to find the volume in cubic inches.

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Answer:

m = 3

Step-by-step explanation:

The answer is on the image.

Hope it helps!

Answer:

D:2x

Step-by-step explanation:

acc, to BOADMAS rule we have to first multiple then add

so , 1+2(x-1)

=> 1+2x-1

=> 2x

Answer:

it looks like 15 cm would be the right answer

Answer:

60

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

\( \sqrt{300 } = 17.32\)

Round to the nearest whole number which is 17.

Answer:

64

Step-by-step explanation:

When you have 105+x=169

x=64

If you do 169-105 you get 64

64+105=169

The average speed in kph of a horse and rider be if they cover a total distance of 14 km (remember the trail is winding) in 249 minutes is 3.37 kph.

To find the average speed, we can use the formula: Average speed = Total distance / Total timeWe are given the total distance covered by the horse and rider as 14 km and the time taken to cover this distance as 249 minutes.To find the average speed in kph, we need to convert the time from minutes to hours.

1 hour = 60 minutes Therefore, 249 minutes = 249/60 hours = 4.15 hoursNow we can use the formula:Average speed = Total distance / Total time Average speed = 14 km / 4.15 hoursAverage speed = 3.37 kphTherefore, the average speed in kph of the horse and rider would be 3.37 kph if they cover a total distance of 14 km in 249 minutes.

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Answers:

=================================================

Explanations:

Step-by-step explanation:

Question 10 :

3x + 6 = 4x – 12 ( reason: corresponding angles due to parallel lines)

simplify and get x, thus x = 18

to find 3x + 6 or 4x - 12(which is both the same),

3(18) + 6 = 60° , 4(18) - 12 = 60°

Question 11:

2x + 24 + x = 180 ( reason: interior angles due to parallel lines)

simplify again to get x, you will get x = 52

then find the individual by subbing in the value of x into the equation.

so 2x + 24 = 2(52)+24 = 128° and x = 52°

Answer:

48%

Step-by-step explanation:

24 is almost 25 which is half of 50 you it would be 48%, hope this helps!:)

Answer:

3

Step-by-step explanation:

Answer:

y = -3x +11

Step-by-step explanation:

notice how on the y column the values go down by three, meaning that the slope is -3

to find the y-intercept, look at the x column and find 0 and its corresponding y value

Answer:

He uses the credit card to pay $9 for lunch. Use the number line to subtract $9 from Colton's credit balance, and complete the equation. ucation

Step-by-step explanation:

The 95% confidence interval for the mean score of all such subjects. will be ( 67. 7 , 84.7) using mean.

What is mean?

Mathematicians, particularly statisticians, use a variety of means. Every mean serves to condense a certain set of facts, frequently to help grasp the general significance of a particular data set.

sample mean = x' = 76.2

sample S = 21.4

sample size n = 27

Confidence level = a = 0.95
α=1-a=0.05
95% confidence interval for the mean score of all such subjects is
(x'-E , x'+E)
E = \(\frac{tc*s}{\sqrt{n}}\)
E = \(\frac{2.056*21.4}{\sqrt{27}}\)} = 8.466

95% confidence interval for the mean score of all such subjects is
(x'-E , x'+E)
=(76.2-8.466 , 76.2+8.466)
=(67.734 , 84.666)
= ( 67. 7 , 84.7)

Hence The answer will be ( 67. 7 , 84.7).

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Answer:

  (c)  The domain and range of the graph are the same.

Step-by-step explanation:

You want to identify the correct statement about the domain and range of the square root function f(x) = √x.

The square root is defined for all non-negative numbers.

The values of the square root function will not be negative.

The appropriate description of the domain and range is ...

  The domain and range of the graph are the same.

The investment will be worth approximately $1,546.45 at the end of 7 years. To calculate the value of the investment after 7 years, we can use the formula for compound interest:

Value = Principal * (1 + interest rate)^time

Given Data:

Principal (P) = $900

Annual Interest Rate (r) = 8% or 0.08

Number of years (t) = 7

Substituting the values into the formula, we have:

Value = $900 * (1 + 0.08)^7

Calculating the exponent:

(1 + 0.08)^7 = 1.08^7 ≈ 1.718279

Now we can calculate the value of the investment:

Value = $900 * 1.718279 ≈ $1,546.45

Therefore, the investment will be worth approximately $1,546.45 at the end of 7 years.

In this calculation, we used the compound interest formula, which takes into account the initial principal, the annual interest rate, and the number of compounding periods (in this case, 7 years). The interest is compounded annually, meaning that at the end of each year, the interest earned is added to the principal for the next year's calculation.

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Answer:

x = -8

Step-by-step explanation:

3x - 9= -33

     +9=-33+9

3x    = -24

3           3

x = -8

The points X(5,-3), Y(4,-1) and Z(6,-2) can be plotted as given below. From the obtained graph ∠XYZ is the obtuse angle.

The given coordinates are X(5,-3), Y(4,-1) and Z(6,-2).

We need to classify ∠XYZ whether it is right, acute, or obtuse.

A cartesian plane or coordinate plane can be defined as a plane formed by the intersection of two coordinate axes that are perpendicular to each other. The horizontal axis is called the x-axis and the vertical one is the y-axis. These axes intersect with each other at the origin whose location is given as (0, 0). Any point on the cartesian plane is represented in the form of (x, y). Here, x is the distance of the point from the y-axis and y is the distance from the x-axis.

Now, X(5,-3), Y(4,-1) and Z(6,-2) can be plotted as given below:

The given points X(5,-3), Y(4,-1) and Z(6,-2) have positive x-coordinate and negative y-coordinate.

In the cartesian plane, the fourth quadrant positive x-coordinate and negative y-coordinate.

So, all points X(5,-3), Y(4,-1) and Z(6,-2) lie in the fourth quadrant.

From the graph, we can see that the two lines make an obtuse angle, which is more than 180° and less than 360°.

From the obtained graph ∠XYZ is the obtuse angle.

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T test is used to compute the confidence interval, when the mean and standard deviation is given.

What is Standard Deviation?

The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be very close to the set mean. The lower case Greek letter (sigma), again for population standard deviation, or even the Latin letter s, again for sample standard deviation, are most frequently used in mathematical texts and equations to represent standard deviation. Standard deviation may be abbreviated as SD. A random variable, specimen, statistical population, data set, as well as probability distribution's standard deviation is equal to the square root of its variance. When the number in a sample, sample mean and sample standard deviation is given, the test statistic that should be used when computing a confidence interval is t test

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Answer: (x+5)(x+2)^2

Step-by-step explanation: Expanding (x+5)(x+4)(x+4) gives:

(x+5)(x+4)(x+4) = x(x+4)(x+4) + 5(x+4)(x+4)

= x^2(x+4) + 4x(x+4) + 5x(x+4) + 20(x+4)

= x^3 + 4x^2 + 5x^2 + 20x + 16x^2 + 80x + 20x + 80

= x^3 + 9x^2 + 45x + 80

Fully simplifying this expression gives:

x^3 + 9x^2 + 45x + 80 = (x+5)(x^2+4x+16)

= (x+5)(x+2)^2

Answer: 180000

Step-by-step explanation: