Find the measure of the smaller angle formed by hands of a clock at the following time. 1.15

The probability that the sum of the two dice is less than 4 is 3/36, which simplifies to 1/12.

Dice probability refers to the likelihood of a certain outcome when rolling one or more dice. The probability of rolling a particular number on a fair six-sided die, for example, is 1 in 6 or approximately 16.67%. The probability of rolling any number from 1 to 6 on a single die is always the same since each face has an equal chance of landing face up.

Given by the question.

To finds the probability that the sum of the two dice is less than 4, we need to list all the possible outcomes when Cindy throws one red and one blue dice, and then count the number of outcomes that satisfy the condition.

Possible outcomes when throwing two dice:

Red Blue

1 1

1 2

1 3

1 4

1 5

1 6

2 1

2 2

2 3

2 4

2 5

2 6

3 1

3 2

3 3

3 4

3 5

3 6

4 1

4 2

4 3

4 4

4 5

4 6

5 1

5 2

5 3

5 4

5 5

5 6

6 1

6 2

6 3

6 4

6 5

6 6

There are 36 possible outcomes when throwing two dice.

Outcomes where the sum of the two dice is less than 4:

Red Blue

1 1

1 2

2 1

There are 3 outcomes where the sum of the two dice is less than 4.

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Answer:

Step-by-step explanation:

you mean (-4+2i)-(5-4i)

=-4+2i-5+4i

=-9+6i

Answer

The point estimate of the mean is \(\= x = 32\)

The margin of error is  \(E =6\)

Explanation

From the question we are told that

    The lower bound of the interval is  \(a = 26\)

     The upper bound of the interval  is  \(b = 38\)

Generally the point estimate of the population mean is mathematically represented as

            \(\= x = \frac{a +b}{2}\)

=>          \(\= x = \frac{26 +38}{2}\)

=>          \(\= x = 32\)

Generally the margin of error is mathematically represented as

             \(E = \frac{ b- a}{2}\)

=>         \(E = \frac{ 38- 26}{2}\)

=>         \(E =6\)

The number of students that bike to school is 18

The median is described as the middle number of a set of data when the values are arranged in an ascending order from the least to the greatest.

We should also know that the median is one of the measures of central tendency.

From the information given, we have that the data set representing the number of students is;

10, 11, 12 , 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25

Then, we have that the median number is;

Median = 17 + 18/2

add the values

Median = 35/2

Divide the values

Median = 18 students

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Based on the fact that the cross-country course is shaped like a parallelogram, the total length of the cross-country course is 10 miles.

The total length of the cross-country course will be the perimeter of the shape that the course is shaped like.

As this course is shaped like a parallelogram, the total length would therefore be:

= Base + Base + Length + Length

Solving gives:
= 3 + 3 + 2 + 2

= 6 miles

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Answer: 9

Step-by-step explanation:

divide 2 by y and 18 and the the 2divided by 2 cancel out. then divide 18 by 2 and you get y = 9

Answer:

the first one is 4 i think and the last one is 48 percent. im not sure if the dotted line is a underline tho

Step-by-step explanation:

:))

Multiply the numerator and the denominator by 100 to get 48/100

which is the same as 48% .

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

Given,

Fraction = 12/25

To convert into percentage

divide the number by 100 and multiply by 100.

= ((12/25)×100)/100

= 12 × 100/25×100

= 48/100

= 48%

Hence, 48% is the expression of 12/25 as percent gotten by multiplying and dividing with 100.

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Answer:

--you would decompose it into a rectangle and triangle along the dotted line then add the two areas together to get the total area. the area of the trapezoid is 59.375 ft²

--i havent seen the other problem so i cant answer the convince me part, but you should be able to say how its different from the answer above^^^

Step-by-step explanation:

hope this helps :)

Answer:

no solution

Step-by-step explanation:

examples: 4^1 + 2 = 2^ 1 -1 and the answer is 6 = 1 which is not true. So its gonna be hard for them to have a solution.

Answer:

C. x = -5 ln 2/ ln 2 = -5

Step-by-step explanation:

\(|\Omega|=10\cdot9=90\\|A|=3\cdot2=6\\\\P(A)=\dfrac{6}{90}=\dfrac{1}{15}\approx6.7\%\)

Answer:

60

Step-by-step explanation:

360 degrees divided by 6 sides equal 60 degrees

(C) "Your employer will typically allow you to pay reduced taxes and premium deductions each pay cycle" is an excellent justification for enrolling in an employer-sponsored retirement savings plan.

You are permitted to contribute as much of your salary as you choose to the Retirement Savings Plan on a tax-advantaged basis, up to the yearly limit established by the Federal Revenue Agency (IRS).

A retirement savings plan (RSP), also known as an RRSP, is a form of financial account used in Canada to hold savings and investment assets.

When opposed to investing outside of tax-preferred accounts, RRSPs offer a number of tax benefits.

They were launched in 1957 to encourage both workers and independent contractors to save for retirement.

They are subject to a number of limitations outlined in the Canadian Income Tax Act.

Savings accounts, guaranteed investment certificates (GICs), bonds, mortgage loans, income trusts, mutual funds, corporate shares, exchange-traded funds, foreign currency, and funds sponsored by labor are examples of approved assets.

Therefore, (C) "your employer will typically allow you to pay reduced taxes and premium deductions each pay cycle" is an excellent justification for enrolling in an employer-sponsored retirement savings plan.

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Answer:

1/5

Step-by-step explanation:

20 times 5 =100. 20/100 = 1/5

Answer:

1/5

Step-by-step explanation:

20 x 5 =100 . 20/100 = 1/5

Answer:

Step-by-step explanation:

disc=8²-4×1×15=64-60=4=2²>0

it is a  perfect square and >0

so it has one repeated rational number solution.

Answer: If Amella started with 7/8 gallon of paint in the can and used 3/8 gallons, then the amount of paint left in the can can be found by subtracting the amount used from the amount started with:

Amount left = Amount started with - Amount used

Amount left = 7/8 - 3/8

Amount left = 4/8 or 1/2 gallon

Therefore, Amella has 1/2 gallon of paint left in the can.

Step-by-step explanation:

Answer:

2(x - 6) (x - 4)

Step-by-step explanation:

Let's check

2(x - 6) (x - 4)

= (2x - 12) ( x - 4)

= 2x^2 - 8x - 12x + 48

= 2x^2 -20x + 48

So, 2(x - 6) (x - 4) is the correct answer.

Answer: 2(x-6)(x-4)

Step-by-step explanation: To first factor this we need to simplify this expression. We can see that 2 is a common term, so we can divide everything by 2. This would result in us getting 2(x^2-10+24).  Now we factor, we have to find which terms multiply to 24, and add to -10. We can start off at 1 and 24, No. We can slowly go up and find that those two numbers are -6 and -4. We can now re-write this as 2(x-6)(x-4).

For every 4 beef cattle there is 3 dairy cattle. For 24 dairy cattle there will be 32 beef cattle as per the given ratio of 3:4.

An ordered pair of numbers a and b, written as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could write the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls). The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two things.

Here,

a. No for every 4 beef cattle there is 3 dairy cattle.

b. 4/3=x/24

x=4*24/3

x=32 beef cattle

There are 3 dairy cattle for every 4 beef cattle. According to the stated ratio of 3:4, there will be 32 beef cattle for every 24 dairy cattle.

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Answer:

17th year

Step-by-step explanation:

his first year is 15,900 and his 6th year is 22,400. that is a 5 year difference, so subtract the two numbers, and divide them by 5 to get the average income he gets each year.

(22,400-15,900)/5=(6,500)/5=1300

so, we have our slope 1,300. the y intercept is 15,900 because his income is the same after having 15,900. so our equation is y=1,300x+15,900

y is total income and x is years

we have our y (38,000) so we plug it in.

38,000=1,300x+15,900

finally we solve and we should get our x.

38,000-15,900=1,300x+15,900-15,900

22,100=1,300x  

22,100/1,300=1,300x/1,300

17=x

Step-by-step explanation:

since z=v/I where v=7+8i and I=5i

z=7+8i/5i

according to complex number 1/i=-i

so we have

z=-i(7+8i)/5

=(-7i-8i²)/5

from complex number i²=-1

we have

z=(-7i-(-8))/5

z =(-7i+8)/5

The required number of people that contribute 34 pays in the goal of 2414 is 71.

According to the assertions, it deals with a number of operations in mathematics. Addition, subtraction, multiplication, and division are the four main arithmetic operators.

Here,
as given in the question,
Total contribution = 2414
Contribution by each person = 34
Applying arithmetic operations
number of people = 2414 / 34
Number of people= 71

Thus, the required number of people that contribute 34 pays in the goal of 2414 is 71.

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Answer:

d

Step-by-step explanation:

i did it

12th term of the geometric sequence is 97,656,250

In the given statement is:

Find the 12th term of the geometric sequence 2,10,50

What is Geometric Sequence?

A Geometric Sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence.

Now, to find the 12th term of geometric sequence:

Formula of Geometric Sequence:

\(a_{n} =a_{1}r^n^-^1\)

\(a_{1}=2\\ \\\)

r = 10/2 =5

\(a_{12}=2(5)^1^2^-^1\\ \\a_{12}=2(5)^1^1\\\\\\a_{12}=2(48,828,125)\\ \\a_{12} = 97,656,250\)

Therefore, 12th term of the geometric sequence is 97,656,250

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Based on the information, the answer is A). While wages have increased, spending power has mostly remained the same since 2000.

The fact that the cost of living has also increased, eating up much of the gains from wage growth. In addition, many Americans are now working multiple jobs, which can leave them with less time and energy to spend money on discretionary items.

According to the Bureau of Labor Statistics, the average hourly wage for all workers in the United States increased by 16.3% between 2000 and 2021. However, the Consumer Price Index (CPI), which measures the cost of a basket of goods and services, increased by 26.5% over the same period. This means that the purchasing power of the average worker has actually declined by 10.2% since 2000.

The rise of the gig economy has also contributed to the decline in spending power. Many Americans are now working multiple jobs, often in low-wage industries such as food service and retail.

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While wages have increased, spending power

a)has mostly remained the same since 2000

b) as wages go up, so does spending power

c) the spending power of men is less than the spending power of the overall population

d) the wages of women have increased faster than the wages of men

The description of the transformation of z on the complex plane gives the quotient is B. scale z by a factor of 1 and rotate it 5 degrees clockwise.

It should be noted that a quotient simply means the number that obtained when division of numbers takes place.

In this case, the description of the transformation of z on the complex plane gives the quotient of 2 = 8cos30° + i sin30° and w = 2cos5° + i sin5° is to scale z by a factor of 1 and rotate it 5 degrees clockwise.

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Answer: 80%. Hope this helps, please consider making me Brainliest.

Step-by-step explanation:

To find the percentage, divide the sale cost by the original cost:

27.60/34.50

Let's multiply both sides by 10 to make the operation easier:

27.6/34.5 ( I eliminated the zero's because they kind of have no use) -->

276/345, now solve:

276/345 = 0.8

0.8 = 80%

The percentage is 80%.

Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.

To determine the average speed at which Sphenathi and the other matriculants must travel to reach Uptington by 09:45, we need to calculate the time available for the journey and the distance between the two locations.

The time available is from 07:25 to 09:45, which is a total of 2 hours and 20 minutes. We need to convert this time to hours by dividing by 60:

2 hours + 20 minutes / 60 = 2.33 hours

Now, let's calculate the distance between Bloemfontein and Uptington. Suppose the distance is 'd' kilometers.

We can use the formula for average speed: average speed = distance / time

In this case, the average speed should be such that the distance divided by the time is equal to the average speed.

d / 2.33 = average speed

Now, let's assume that Sphenathi and the other matriculants must travel a distance of 250 kilometers to reach Uptington. We'll substitute this value into the equation:

250 / 2.33 = average speed

To find the average speed to the nearest km/h, we'll calculate the result:

average speed ≈ 107.3 km/h

Therefore, Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.

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Answer:

X = there and halve

3(1/2)

Step-by-step explanation:

F(x) =3x -2

g(x )= 2x-3

F(2) = 3(2) - 2

= 6-2

= 4

So the value of x that can make g(x) = 4

4= 2x-3

7 = 2x

X= 7/2

X = 3 1/2

Answer:

x=4

Step-by-step explanation:

so I plugged in each answer to find which would make g(x)=f(2)

for f(2) you get f(2)= 3(2) -1

f(2)= 6-1 so f(2) is 5

using that plug in each answer into the G equation to get 5 out of it. i used 4

g(4)= 2(4) -3

g(4)= 8-3

g(4)=5

ta da the answer is x=4

hope this is helpful