Select the correct answer.
Julie ran a race 2 minutes faster than Teri did. If Julie ran the race in 28 minutes, which equation can be used to find the number of minutes, m, it took Teri to run the race?
A.m+2=28
B.m-2=28
C.2m=28
D.1/2m=28

if any doubt leave a comment

The correct answer is (a) 34, as the element with the next higher z and similar chemical properties to selenium would be polonium (z = 84).

The periodic table of elements is arranged in order of increasing atomic number (z), and elements in the same group have similar chemical properties. Therefore, to determine the atom with the next higher z and having similar chemical properties, we need to identify the group of the given element.

Option (a) 34 is the atomic number of selenium, which is in group 16 of the periodic table. Elements in group 16 are known as the chalcogens and have similar chemical properties, such as forming compounds with oxygen and having multiple oxidation states. The element with the next higher z and similar chemical properties to selenium would be the next element in group 16, which is polonium (z = 84).

Option (b) 13 is the atomic number of aluminum, which is in group 13 of the periodic table. Elements in group 13 are known as the boron group and have similar chemical properties, such as forming compounds with oxygen and having low electronegativity. The element with the next higher z and similar chemical properties to aluminum would be the next element in group 13, which is gallium (z = 31).

Option (c) 9 is the atomic number of fluorine, which is in group 17 of the periodic table. Elements in group 17 are known as the halogens and have similar chemical properties, such as forming ionic compounds with metals and having high electronegativity. The element with the next higher z and similar chemical properties to fluorine would be the next element in group 17, which is chlorine (z = 17).

Option (d) 14 is the atomic number of silicon, which is in group 14 of the periodic table. Elements in group 14 are known as the carbon group and have similar chemical properties, such as forming compounds with oxygen and having multiple oxidation states. The element with the next higher z and similar chemical properties to silicon would be the next element in group 14, which is germanium (z = 32).

Therefore, the correct answer is (a) 34, as the element with the next higher z and similar chemical properties to selenium would be polonium (z = 84).

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Step-by-step explanation:

From the image, let Angle 1 be x, and angle 2 be 16°

\({ \tt{x + 16 = 180}} \\ { \tt{x = 164 \degree}}\)

In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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Answer:

THE ONLY STATEMENT THAT IS FALSE IS THE NUMBER 5.

Step-by-step explanation:

Table of ordered data

number of       value

data

1                      62

2                      88

3                      89

4                      90

5                      92

6                      95

7                      96

8                      98

9                    100

10                  100

Range of scores: 100 - 62 = 38

Oulier: 62 => Range without the outlier = 100 - 88 = 12

Interquartile range, IQR, = difference between third quartile and first quartile: IQR = Q3 - Q1

Quartlies of all the data:

1                      62

2                      88

3                      89 ---------------   first quartile, Q1 = 89

4                      90

5                      92

------------------------------------------ median, Q2 = (95 + 92) / 2 = 93.5

6                      95

7                      96

8                      98 ---------------- third quartile, Q3 = 98

9                    100

10                  100

=> IQR = 98 - 89 = 9 : the interquartle range is 9

Quartlies without the outlier:

2                      88

3                      89

------------------------------------- first quartile, Q1 = (89 + 90) / 2 = 89.5

4                      90

5                      92

6                      95 --------------- median, Q2 = 95

7                      96

8                      98

------------------------------------ third quartile, Q3 = (98 + 100) / 2 = 99

9                    100

10                  100

=> IQR = Q3 - Q1 = 99 - 89.5 =  : the interquartle range without the outlier is 9.5

Therefore, the outlier impacts more the range than it impacts the IQR.

THE ONLY STATEMENT THAT IS FALSE IS THE NUMBER 5.

Answer:

12

Step-by-step explanation:

Divide both sides by 6 to isolate x

Answer:12

Step-by-step explanation:

divide 6 from 72

Answer:

(1) is the answer

hope it helps

Step-by-step explanation:

(1)

It's the first one. Hope this helps!!

The measure of the segment JK is 0 unit

A line is the shortest distance between two points

Given the following parameters

GJ = 70.2

JH = 26.5

GK = 70.2

Determine the measure of JK

JK = JG + GK

Since JG = -GJ then;

JK = -GJ + GK

JK = -70.2 + 70.2

JK = 0

Hence the measure of the segment JK is 0 unit

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The correlation coefficient {r} = 0.01 represents the worst correlation.

In statistics, correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data

Given are the correlation values as given in the image.

The correlation coefficient {r} = 0.01 represents the worst correlation. It is shows that the data is scattered to a very large extent and the dependency between the two variables is not mathematically structured according to some rule.

Therefore, the correlation coefficient {r} = 0.01 represents the worst correlation.

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Answer:

Call x is childrens

Call y is adults

x + y = 386 (1)

1,75x + 2,5y = 807,5 (2)

(1) => x = 386 - y => (2) 1,75 ( 386-y )+2,5y = 807,5

0,75y=132 => y = 176 and x = 210

Step-by-step explanation:

Answer:

Step-by-step explanation:

x² + y² - 14x - 10y = 250

(x² - 14x) + (y² - 10y) = 250

Divide the co efficient of x by 2 ⇒ 14÷2 = 7

Divide the co efficient of y by 2 ⇒ 10÷ 2 = 5

Now, add 7² and 5² to both sides of equation.  {addition property of equality}

(x²- 2*7x + 7²) + (y² - 10y + 5²) = 250 + 7² + 5²

(x - 7)² + (y - 5)² = 250 +49 + 25

(x -7)² + (y - 5)² = 324

(x -7)² + (y - 5)² = 18²

Radius = 18

The precentile for a student in the class who studies 8 hours a week is 5.74%.

To find the percentile for a student who studies 8 hours a week, we need to first standardize the student's study time by subtracting the mean study time and dividing it by the standard deviation of study time. This will give us the student's z-score. We can then look up the student's z-score in a standard normal table to find the percentile.

The student's z-score is (8 - 9.92) / 4.54 = -1.67.

Looking up -1.67 in a standard normal table, we find that the percentile is about 5.74%. This means that about 5.74% of the students in the class studied for less than 8 hours per week.

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As per the given standard deviation, the percentile for a student in the class who studies 8 hours a week is 50.80%

The term standard deviation in math is known as a measure which shows how much variation from the mean exists.

Here we have given that in one statistics course students reported studying an average of 9.92 hours a week with a standard deviation of 4.54.

Through this details, we have identified that the value of the following are given that,

=> weekly study time = 10 hours

=> average study time = 9.92 hours

=> standard deviation = 4.54 hours

Then the formula to calculate the Test statistic is written as

=> z = (weekly study time - average study time)/standard deviation

Apply the values on it, then we get

=> z = (10 - 9.92)/4.54

=> z = 0.08/4.54 = 0.02

While we take the value of z table, then we get the Cumulative area of the test statistic is 0.5080.

And the percentile is calculated by multiply the value by 100 as,

=> 0.5080 × 100 = 50.80

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The correct answer is D: Max (Peak Memory BW x Arithmetic Intensity, Peak Floating-Point Performance).

1a. C: 101 to calculate the speedup, we need to consider the computing load distribution among the processors. In this case, 10 processors carry 20% of the load, which means each of these processors handles 2% of the load. The remaining 90 processors share the rest of the load evenly, so each processor among these 90 handles (100% - 20%) / 90 = 0.8889% of the load.

The speedup can be calculated using Amdahl's Law, which states that the speedup is limited by the portion of the program that cannot be parallelized. In this case, the matrix subtraction is fully parallelizable, so the only portion that cannot be parallelized is the sum of the scalar variables.

The speedup formula is given by: Speedup = 1 / [(1 - p) + (p / n)], where p is the portion that can be parallelized and n is the number of processors.

In this case, p = 0.02 (for the 10 processors) and n = 100. Substituting these values into the formula, we get: Speedup = 1 / [(1 - 0.02) + (0.02 / 100)] = 1 / 0.99 = 1.0101.

Therefore, the correct answer is C: 101.

1b. A:

mul.d $v1, $v0, $f1

add.d $v3, $v1, $v2

The code snippet performs the DAXPY operation, which multiplies a scalar value (a) with a vector (x) and adds the result to another vector (y). The blank instructions should be filled with the above choices.

1c. C: In fine-grained multithreading, switching between threads happens after every instruction.

In fine-grained multithreading, switching between threads happens after every instruction, which is an incorrect statement. Fine-grained multithreading allows switching between threads at a much finer granularity, such as cycle-by-cycle or instruction-by-instruction, to improve resource utilization.

1d. B: Peak Floating-Point Performance

In the roofline model, the attainable GFLOPs/sec is set by the peak floating-point performance of the processor. The roofline model is a performance model that visualizes the performance limitations of a system based on the memory bandwidth and arithmetic intensity of the code. The attainable performance is determined by the lower value between the peak memory bandwidth and the peak floating-point performance. Therefore, the correct answer is B: Peak Floating-Point Performance.

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Answer:

I hope this answer helps you

Here's the completed table of values for y = 2x^2 + x

7,1,9

To find the value of y for each x, substitute x into the equation and simplify:

For \(x = -2: y = 2(-2)^2 + (-2) = 7\)

For\(x = -2: y = 2(-2)^2 + (-2) = 7\)

For\(x = 0: y = 2(0)^2 + 0 = 1\)

For \(x = 1: y = 2(1)^2 + 1 = 4\)

For\(x = 2: y = 2(2)^2 + 2 = 9\)

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Answer:

×=-2+12/2,the anwser is ×=5,×=-7

Distributive property is the term for breaking a larger number apart into smaller numbers that can be multiplied together to get a specific result.

Firstly, to distribute means to divide something or give a share or part of something.

Distributive property explains that multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Therefore, distributive property is the term for breaking a larger number apart into smaller numbers that can be multiplied together to get a specific result.

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The amount the firm needs to deposit in the account now is 9,640.11. Given that the company has purchased a life truck with a useful life of 5 years, the maintenance costs for the truck during the first year are 2,000.

Also, maintenance costs are expected to increase at a rate of 300 per year over the remaining life, which is for four years. Assume that the maintenance costs occur at the end of each year.

The future maintenance costs for the truck can be calculated as shown below:

Year 1:\($2,000Year 2: $2,300Year 3: $2,600Year 4: $2,900Year 5: $3,200\)The maintenance account that earns 10% interest per year has to be set up, and all future maintenance expenses will be paid out of this account. The future value of the maintenance costs, i.e., the amount that the firm needs to deposit now to earn 10% interest and pay the maintenance costs over the next four years is given by:

\(PV = [C/(1 + i)] + [C/(1 + i)²] + [C/(1 + i)³] + [C/(1 + i)⁴] + [(C + FV)/(1 + i)⁵]\),where PV is the present value of the future maintenance costs, C is the annual maintenance cost, i is the interest rate per year, FV is the future value of the maintenance costs at the end of year 5, which is $3,200, and 5 is the total number of years, which is

5.Substituting the given values in the above equation:

\(PV = [2,000/(1 + 0.1)] + [2,300/(1 + 0.1)²] + [2,600/(1 + 0.1)³] + [2,900/(1 + 0.1)⁴] + [(3,200 + 3,200)/(1 + 0.1)⁵] = 9,640.11\)Therefore, the firm needs to deposit 9,640.11 in the account now. Hence, option (A) is the correct answer.

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The upper control limit (UCL) is approximately 2.0018 litres, and the lower control limit (LCL) is approximately 1.9982 litres, which would include roughly 95.5 percent of the sample means.

Now let's check if the process is in control using the given sample means:

To determine the upper and lower control limits for the sample means, we can use the formula:

Upper Control Limit (UCL) = Mean + (Z * Standard Deviation / sqrt(n))

Lower Control Limit (LCL) = Mean - (Z * Standard Deviation / sqrt(n))

In this case, we want to include roughly 95.5 percent of the sample means, which corresponds to a two-sided confidence level of 0.955. To find the appropriate Z-value for this confidence level, we can refer to the standard normal distribution table or use a calculator.

For a two-sided confidence level of 0.955, the Z-value is approximately 1.96.

Given:

Mean = 2.0 litres

Standard Deviation = 0.01 litres

Sample size (n) = 5

Using the formula, we can calculate the upper and lower control limits:

UCL = 2.0 + (1.96 * 0.01 / sqrt(5))

LCL = 2.0 - (1.96 * 0.01 / sqrt(5))

Calculating the values:

UCL ≈ 2.0018 litres

LCL ≈ 1.9982 litres

Therefore, the upper control limit (UCL) is approximately 2.0018 litres, and the lower control limit (LCL) is approximately 1.9982 litres, which would include roughly 95.5 percent of the sample means.

Now let's check if the process is in control using the given sample means:

Mean of the sample means = (2.005 + 2.001 + 1.998 + 2.002 + 1.995 + 1.999) / 6 ≈ 1.9997

Since the mean of the sample means falls within the control limits (between UCL and LCL), we can conclude that the process is in control.

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Answer:

a = 2a(- 1)

Step-by-step explanation:

I have done the maths

Answer:

0.5 kg/week

Step-by-step explanation:

rate of change = (change in weight)/(change in time)

rate of change = (8.4 kg - 2.4 kg)/(18 weeks - 6 weeks)

rate of change = 6 kg / 12 weeks

rate of change = 0.5 kg/week

The required probability is 12.43% or 0.1243 (rounded to two decimal places).

The number of students not in the fifth grade is `453 - 80 = 373` students. Let's call the event that a student has the flu F and the event that a student is not in the fifth grade N. Therefore, the probability of a student not being in fifth grade and getting flu is P(F ∩ N). We are given P(N) = 1 - P(5th grade) = 1 - 80/453 = 373/453 = 0.823, and P(F | N) = 0.3. We are to find P(F | N), the probability that a student has the flu given that they are not in the fifth grade. We can use the Bayes' theorem. According to Bayes' theorem, P(F ∩ N) = P(N | F) P(F) = P(F | N) P(N).So, P(F | N) = [P(N | F) P(F)] / P(N)Now, we can substitute the given probabilities to find P(F | N).P(F | N) = [P(N | F) P(F)] / P(N)= [(1-P(F | N))P(F)] / P(N)= [0.7 × (1-0.823)] / 0.823≈ 0.1243Therefore, the probability that a student not in the 5th grade gets the flu is about 0.1243 or approximately 12.43% or 0.1243 × 100% = 12.43% (rounded to two decimal places).Hence, the required probability is 12.43% or 0.1243 (rounded to two decimal places).

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Answer:

The equation is 3/10 × s = 162

Alexandra's salary before taxes for the pay period was $540

Step-by-step explanation:

Let

Alexander's salary before taxes

=s

3/10 if Alexander's take home pay is $162 after taxes

3/10 of s = $162

The equation is

3/10 × s = 162

Divide both sides by 3/10

s = 162 ÷ 3/10

= 162 × 10/3

= 1620 / 3

= $540

Alexandra's salary before taxes for the pay period was $540

Answer: 666

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

If $x=3$, then $y=2*3^{3}$. Using order of operations, we evaluate the exponent first, then perform the multiplication:

\begin{align*}

y &= 2 * 3^{3} \\

&= 2 * 27 \\

&= 54

\end{align*}

Therefore, $y=54$.

Answer:

So there are infinite solutions along the line y = 2x-1

Step-by-step explanation:

10x=5y+5

y=2x-1

Substitute y into the first equation

10x = 5(2x-1) +5

10x = 10x-5+5

10x = 10x

This is always true

So there are infinite solutions along the line y = 2x-1

Answer:

The sum is 1

Step-by-step explanation:

When you add a negative number to a positive number, it is basically just subtracting the negative from the positive. To make it simple, 5 + -4 is just 5 - 4.

Hannah was wrong in saying you take the sign of the larger number because it would not matter if the first number was a million, the signs don't change based on the size of numbers.

The probability that both Michelle and Garth will drive a red bumper car is 1/16.

The probability that both Michelle and Garth will drive a red bumper car, we need to calculate the probability of two independent events happening consecutively.

First, let's calculate the probability of Michelle getting a red car. There are a total of 12 cars, out of which 3 are red. So the probability of Michelle getting a red car is:

P(Michelle gets a red car) = 3 red cars / 12 total cars = 1/4

Since Michelle's car assignment does not affect the number of red cars remaining, the probability for Garth to get a red car remains the same. So the probability of Garth getting a red car is also 1/4.

The probability of both events happening, we multiply the probabilities:

P(Michelle gets a red car AND Garth gets a red car)

= P(Michelle gets a red car) × P(Garth gets a red car)

= (1/4) × (1/4)

= 1/16

Therefore, the probability that both Michelle and Garth will drive a red bumper car is 1/16.

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Answer:

place value is the answer

Answer:

The answer is 'PLACE VALUE'

Step-by-step explanation:

6x + 9

I hope this helps!

Answer:

= 6x +9

Step-by-step explanation:

1. you need to multiply -3 by x² + 2x - 3

so you got -3x² -6x + 9

2. Then, you need to multiply 3 by (x²+4x)

= 3x² + 12x

3. -3x² - 6x + 9 + 3x² + 12x

4. then you need to solve with the same

= - 3x² + 3x²

= 0

= - 6x + 12x

= 6x

5. lastly you will got the answer.

# = 6x +9