12. −7.5 • −2³/4
19

Using the information, combine the individual probabilities to compute the probability that Peter will pass the quiz is (c) 0.0035.

To compute the probability that Peter will pass the quiz (i.e., get at least 7 questions correct), we need to sum the probabilities of getting exactly 7, exactly 8, exactly 9, and exactly 10 questions correct.

So, the probability of passing the quiz is:

P (getting at least 7 correct) = P (getting exactly 7 correct) + P (getting exactly 8 correct) + P (getting exactly 9 correct) + P (getting exactly 10 correct)

= 0.0031 + 0.000386 + 2.86 × 10⁻⁵ + 9.54 × 10⁻⁷

= 0.0035

Therefore, the result is c. 0.0035.

The binomial formula can be used to solve a wide range of problems in probability and statistics. The binomial formula is used to calculate the probability of getting a specific number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (success or failure).

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Answer:

a) 375

b) 7062.75 mm²

Step-by-step explanation:

b) We need to find the shortest possible width and length to get the smallest possible area.

To get the boundaries for 19.4, we go on to the next significant figure (the hundredths) and ± 5 of them.

The boundaries are, therefore: 19.35 - 19.45

As for the length, we can see they've added 5 units as the measurement is correct to 2 sig' figures, which is the tens.

And so, if we do as we did before, we go to the next sig' figure (the units) and ± 5 of them, we get the boundaries to be 365 - 375.

Now, we just multiply the lower bounds of the length and width to get the minimal/lower-bound area:

365 * 19.35 = 7062.75 mm²

Answer:

it is not EWTD compliant

Step-by-step explanation:

Given that :

Directive = maximum average working hours per week = 48 hours

Engagement :

9:00 - 18:45 = (9 hrs 45 mins) - 30 mins = 9hrs 15 mins

9 hrs 15 mins for 3 days = 27 hours 45 mins

10:30 - 21:00 = (10 hrs 30 mins) - 45 mins = 9 hrs 45 minutes

Sundays (10:00 - 14:00) = 4 hours

Total work hours per week :

2(9hrs 15 mins) + 3(9hrs 45 mins) + 4 hours =;

18 hrs 30 mins + 29 hrs 15 minutes + 4 hours

(18 + 29 + 4) + 45 minutes

51 hours 45 minutes.

51 hours 45 minutes > 48 hours ; a Hence, it is not EWTD compliant

Answer:

A. $22.10

Step-by-step explanation:

52 x 0.4 = 20.8

20.8 x 1.0625 = 22.1

Answer:

x = 13sqrt(3) ft = 22.5 ft

y = 13 ft

Step-by-step explanation:

The triangle is a 30-60-90 right triangle.

The ratio of the lengths of the sides is

short leg : long leg : hypotenuse = 1 : sqrt(3) : 2

From the ratio above we see that the hypotenuse is twice the short leg.

The long leg is sqrt(3) times the short leg.

y = short leg

x = long leg

26 ft = hypotenuse

y = 26 ft/2 = 13 ft

x = 13 ft * sqrt(3) = 13sqrt(3) ft = 22.5 ft

The meaning of "five nines" in network high availability measurement is that the network should have 99.999 percent uptime, which translates to no more than 5 minutes of downtime per year.

In network high availability measurement, "five nines" refers to a standard for uptime reliability. It represents a target of 99.999 percent uptime, which is an extremely high level of availability.

This means that the network should be operational and accessible to users for 99.999 percent of the time, allowing for a maximum of 5 minutes of downtime in a year.

Achieving such a high level of uptime requires implementing robust redundancy, failover mechanisms, and fault-tolerant systems. It involves ensuring that network components, such as routers, switches, servers, and connectivity,

are highly reliable and resilient to failures. Redundancy in critical infrastructure, backup power systems, and proactive maintenance practices are typically employed to minimize downtime and provide continuous network availability.

The "five nines" standard is commonly used in industries where uninterrupted network connectivity is crucial, such as telecommunications, data centers, financial institutions, and healthcare.

It signifies a commitment to providing a highly reliable and stable network infrastructure to meet the demanding needs of users and ensure minimal disruption to operations.

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Answer:

-43/50

(decimal) = -0.86

Step-by-step explanation:

Find the LCD which is 50.

16/25 will be multiplied by 2 (because 25 x 2 = 50) so it will then equal 32/50

3/2 will be multiplied by 25 (2 x 25 = 50) = 75/50

subtract them which will give you -43/50

Answer:

The new position is 190 feet below sea

Step-by-step explanation:

240-50=190

Answer: -290.

Step-by-step explanation: Take 240 and add 50=290. If he is down, it's a negative number.

Therefore, the solution to this equation problem is Suan, Hong, and Juan messages are 22 ,68 and 17.

In an equation, two mathematical expressions are said to be equal if their values are the same. The equivalence of two or more variables is demonstrated by a mathematical formula. It is identified by the equal ('=') sign. The formula is, for example, 8+2=12-2. The left and right sides of the equation are equivalent in the example above. A assertion that "this equals that" is what constitutes an equation.

Here,

Let x represent the number of text messages that Susan sent during the weekend.

Let y represent the number of text messages that Hong sent during the weekend.

Let z represent the number of text messages that Juan sent during the weekend.

Susan, Hong, and Juan sent a total of 107 text messages over their cell phones during the weekend. This means that

107=  x + y + z

Juan received four times as many mails from Hong.

Thus,

y = 4z

Juan sent 5 fewer messages than Susan. This means that

x = z + 5

Substituting y = 4z and x = z + 5 into equation 1, it becomes

z + 5 + 4z + z = 107

z + 4z + z = 107 - 5

6z= 102

z = 102/6 = 17

x = z + 5 = 17 + 5 = 22

y = 4z = 17×4 = 68

Therefore, the solution to this equation problem is Suan, Hong, and Juan messages are 22 ,68 and 17

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Answer:

wiring probably.

Step-by-step explanation:

Answer:

-44

Step-by-step explanation:

Answer:

15w - 15y - 36

Step-by-step explanation:

Combine like terms

In this case the only two terms would be numbers without variable and numbers with the variable w

First lets combine the numbers with no variable which are -16 and -20. you subtract these two -16 - 20 = -36 and get -36

Now lets combine like terms for w, it doesn't matter which order you go in exactly but in the case I will do

1. combine 8w and 7w, since these are both positive you will add the together

8w + 7w = 15w

2. Now combine -11y and -4y, since these are both negative you will subtract them and get -15y

The t-statistic can be compared to the critical value at a significance level of 0.05 to determine whether to reject or fail to reject the null hypothesis.

To test the claim (H) at a significance level of a = 0.05, a two-sample t-test for the mean difference between pre-test and post-test scores can be performed. As the standard deviation is not known, the t-statistic can be calculated using the sample mean and standard deviation of the differences. The null hypothesis is that the population mean difference is equal to zero, and the alternative hypothesis is that the population mean difference is not equal to zero. The t-statistic can be compared to the critical value at a significance level of 0.05 to determine whether to reject or fail to reject the null hypothesis.

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Answer:

The shaded area is equal to \(2500\pi - 1296\pi = 1204\pi.\)

Step-by-step explanation:

The shaded area is equal to the area of the outer circle minus the area of the inner circle.

The area of the outer circle is equal to \(r^2\pi = 50^2\pi = 2500\pi\) feet.

The area of the inner circle is equal to \(r^2\pi = 36^2\pi = 1296\pi\) feet.

So the area of the shaded area is equal to \(2500\pi - 1296\pi = 1204\pi.\)

Answer:

Step-by-step explanation:

(10x + 17)° = 87° + 5x° (This is because of the rule of corresponding angles)

=> 10x° = 87° + 5x° - 17°

=> (10x - 5x)° = 87° - 17°

=> 5x° = 70°

=> x° = ( 70/5 )°

=> x° = 14°

Therefore x = 14°

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Answer:

3600

Step-by-step explanation:

Answer:

Yes, it is linear.

Step-by-step explanation:

There is a constant change in the slope. Basically, if it is in y=mx+b form then it is linear. But if the slope is squared then it is not linear.

(I'll take that brainliest now)

Answer:

a.) Find how many natural numbers under 100 are not divisible by either 2, 3, 5, or 7.

There are 21 natural numbers under 100 that are not divisible by either 2, 3, 5, or 7. Below are those 21 natural numbers:

11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

b.) Use this result to determine how many prime numbers less than 100 there are.

Since 2, 3, 5, and 7 are all prime numbers that we didn't include in our answer above, there are actually 25 prime numbers under 100.

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Answer:

47%

Step-by-step explanation:

.375 × .125 = .046875

rounding up, 5 keeps the 7 as is, 7 is greater than 5, therefore the 8, becomes a 9, 9 is greater than 5, so the 6 becomes a 7, .047.

move the decimal three digits to the left and you get, 47%.

Hope this helps brainlest? please

Answer:

2/9

Step-by-step explanation:

The sum of two numbers is 5/9 can be expressed as:

\(\displaystyle \large{x+y=\dfrac{5}{9}}\)

One of the numbers is 1/3. Find the other - this means that either x or y is 1/3 but that doesn’t matter as we can either let x = 1/3 or y = 1/3 via property:

\(\displaystyle \large{x+y = y+x}\)

Hence, let x = 1/3:

\(\displaystyle \large{\dfrac{1}{3}+y=\dfrac{5}{9}}\)

Solve for y - subtract both sides by 1/3:

\(\displaystyle \large{\dfrac{1}{3}-\dfrac{1}{3}+y=\dfrac{5}{9}-\dfrac{1}{3}}\\\displaystyle \large{y=\dfrac{5}{9}-\dfrac{1}{3}}\)

We know that we can only evaluate the fractions if both have same denominator so what we have to do is to multiply 1/3 by 3 for both top and bottom:

\(\displaystyle \large{y=\dfrac{5}{9}-\dfrac{1\cdot 3}{3\cdot 3}}\\\displaystyle \large{y=\dfrac{5}{9}-\dfrac{3}{9}}\\\displaystyle \large{y=\dfrac{2}{9}}\)

Therefore, the other number is 2/9

Answer:

The other number is 2/9

Step-by-step explanation:

"a" is the other number

The equation:

\(a+\frac{1}{3} =\frac{5}{9}\)

Then

\(a=\frac{5}{9} -\frac{1}{3} =\frac{15-9}{27} =\frac{6}{27}\)

simplifying the fraction:

\(a = \frac{2}{9}\)

Hope this helps

'dz' because d and z are different values.

Answer:

t-t

Step-by-step explanation:

Answer:

all 75 of them

Step-by-step explanation:

2.5(30) = 75

Answer:

N/A

Step-by-step explanation:

the question is not in depth could you add a photo

Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.

According to the statement seen in this question, the line segments RT and  ST are collinear to each other. Mathematically speaking, the length of the line segment ST can be found by using the following formula:

RT = RS + ST

ST = RT - RS

ST = 19 - 6

ST = 13

Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.

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Answer:

a) 72

b) 1/72

c) 1/36

Step-by-step explanation:

a) number of ways she can choose route= 3C1 = 3

   number of ways she can choose parking lots= 4C1 = 4

number of ways she can choose entrances= 3C1 = 3  

number of ways she can choose elevators= 2C1 = 2

number of ways she can go to office= number of ways she can choose route×number of ways she can choose parking lots×number of ways she can choose entrances×number of ways she can choose elevators

      number of ways she can go to office= 3×4×3×2

                                                                      = 72

b) Probability of morning side= number of morning side/ total number of routes=  1/3

probabiltiy of Parking lot A=  number of parking lot A/ total number of parking lot= 1/4

probability of south entrance= number of south entrance/ total number of entrances=  1/3

probablity of elevator 1=  number of elevator 1/ total number of elevator= 1/2

combine probability= 1/3× 1/4×1/3×1/2 = 1/72

c) Probability of Industrial Avenue= number of industrial avenue/ total number of avenue= 1/3

Probability of parking lot D= number of parking lot D/ total number of parking lot after deducting number of parking lots A and B = 1/2

Probability of north entrance= number of north entrance/ total number of entrance= 1/3

probablity of elevator 2= number of elevator 2/ total number of elevator

                                      = 1/2

combine probability= 1/3 × 1/2 × 1/3 ×1/2

                                  = 1/36

Answer:

Step-by-step explanation:

Answer: He will need 49 tiles.

Step-by-step explanation:

Given: The patio will measure 13.5 feet by 43 feet.

Area of patio = 13.5 feet x 43 feet [Area = length x width]

= 580.5 sq. feet

Since area of each concrete tile = 12 sq. inch

Number of concrete tiles required to cover patio = (Area of patio) ÷ (area of each concrete tile)

= 580.5 ÷ 12

= 48.375 sq. inch ≈49

Answer:

5 and 29

Step-by-step explanation:

If k= -2, l = 3, m = 4.

Then to solve

k + l + m and K^2 + l^2 + m^2 , we have to substitute the value of k, l and m with the respective values.

So for k + l + m :

k + l + m = -2 + 3 + 4 = -2 + 7 = 5

And for K^2 + l^2 + m^2:

K^2 + l^2 + m^2 = -2^2 + 3^2 + 4^2 = 4 + 9 + 16 = 29

Hope this helps

Answer:100

Step-by-step explanation: not sure hope it helps

In the given cirlce, the value of x is 15

From the question, we are to determine the value of x in the given diagram

From the given information,

We have a circle and we are given the angles subtended by the arcs at the center of the circle.

We know that the sum of angles in a circle is 360°.

Then,

We can write that

(8x - 10)° + (6x)° + (10x + 10)°  = 360°

Solving for x

8x - 10 + 6x + 10x + 10  = 360

Collect like terms

8x + 6x + 10x - 10 + 10 = 360

24x = 360

Divide both sides by 24

24x / 24 = 360 / 24

x = 15

Hence, the value of x is 15

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