Find the least number that must be added to 9577 to make it a perfect square number

Please help ASAP!!!

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The researcher who has 80 participants for a study that involves four experimental conditions and who assigns participants to conditions using matched random assignment will form 20 matched clusters or blocks before assigning participants to conditions.

Matched Random Assignment is the process of grouping participants based on their similarities (matching variables) before randomly assigning them to different treatment groups (experimental conditions) to ensure that the groups are similar in all aspects except for the independent variable. This helps to control for extraneous variables that might affect the outcome of the study.

The number of matched clusters or blocks formed in matched random assignment is equal to the number of treatment groups (experimental conditions).

Since the researcher has four experimental conditions, she will form four matched clusters or blocks before assigning participants to conditions.

Therefore, the number of matched clusters or blocks that she will form before assigning participants to conditions is:

4 experimental conditions x 5 matched participants per block= 20 matched clusters or blocks.

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Answer:

yes it is a function

Step-by-step explanation:

A function can only cross the y-axis once. If it crosses any y-axis more than once, it is not a function. This starts at 0 and will continue on to positive infinity. It will never cross the same y-axis twice. So yes, it is a function.

Answer:

we can check the position of √7 is btw p and q

because square of 2 is 4 while square of 6 is 36

and 7 lies btw 4 and 36 therefore √7 lies btw p and Q

Answer:

OPTION C BETWEEN P AND Q

As 7 is equals to 2.78approx.

Step-by-step explanation:

..

The constant of variation when the amount of money that Mary earns varies directly with the number of hours is 8.

According to the question,

We have the following information:

The amount of money that Mary earns varies directly with the number of hours worked. And Mary earns $320 for working 40 hours.

Now, following expression can be used to express this relationship where y is the amount of money and x is the number of hours.

y = kx

320 = 40k

Dividing by 40:

k = 320/40

k = 8

Hence, the constant of variation when the amount of money that Mary earns varies directly with the number of hours is 8.

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Answer:

Step-by-step explanation:

one kilogram is 100 times less than one gram

Answer:

£6633.04

Step-by-step explanation:

The formula for compound interest is p(1+r/100)^t

Substitute p with principal, t with time and r with rate

6000(1+3.4/100)^3

6000(103.4/100)^3

6000 x 103.4/100 x 103.4/100 x 103.4/100

Solve to get £6633.04

Answer:

1-   1/3 x +3y=1

y=2/3 x-4    

solution : x=39/7 , y=-2/7

3x-2y=11

-3x-y=4   solution x=1/3, y=-5

Step-by-step explanation:

1/3 x +3y=1

y=2/3 x-4

solve by substitution for y in the first equation:

1/3 x + 3(2/3 x-4)=1

1/3 x+6/3 x-12=1

7/3 x=12+1

7/3 x=13 ⇒7x=39 ⇒x=39/7=5 4/7

y=2/3 x -4

y=2/3 (39/7)-4

y=72/21  -4

y=-4/7

second problem:

3x-2y=11

-3x-y=4    solve by elimination: add two equation to eliminate x

3x-2y-3x-y=11+4

-3y=15

y=15/-3 ⇒y=-5

substitute y in one of the equations: 3x-2y=11

3x-2(-5)=11

3x+10=11

3x=11-10

x=1/3

1) This is a problem of rational equations, so let's set them so that we can solve it:

Note that on the left we have the mixture, 35% = 0.35 of a solution +0.85 times the number of liters we want to produce minus x. This is going to be equal to 60% (0.6) times 90.

2) Now, we can solve it:

Once the hardest part is done, we had to deal with the good old Algebra.

Step-by-step explanation:

a(n) = a +(n-1)d

a=-2

d=4+2=6

°.° a(n) = -2 +(n–1)6

hope this helps

Answer:

Jalen's purchase unit rate: 0.3

Tia's purchase unit rate: 0.45

0.45 - 0.3 =

Step-by-step explanation:

Using Conditional Probability,

the probability that the sum of the numbers appearing on the two dice is 8, if 3 appears on the first is 1/5.

We have given that,

Two dice are thrown. Let S be the sample space S={1,2,3,4,5,6×{1,2,3,4,5,6}

Total number of possible outcomes (n(S)) =36

Let A ≡ the event that the sum of the numbers coming up is 8

and B ≡ the event of occurrence of 3 on the first die.

A ≡{(3,5),(6,2),(4,4),(5,3),(2,6)}

favourable cases for A (n(A) )= 5

B≡{(3,1),(3,2),(3,3),(3,4),(3,5),(3,6)}

favourable cases for B (n(B)) = 6

Now, A int B = { (3,5 ) } = 1

favourable cases for AnB (n(An B) )= 1

Probability of event A occur (P(A)) = 5/36

Probability of event B occur (P(B)) = 6/36

Probability of event B occur (P(AnB)) = 1/36

we have to calculate probability the sum of the numbers appearing on the two dice is 8, if 3 appears on the first i.e., P(A/B) --> Conditional Probability

Required probability, P(A/B) = P(ANB)/ P(B)

=> P(A/B) = 1/36/5/36 = 1/5

Hence, the required probability is 1/5.

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Answer:

d) \(x=5\)

Go to station 10

Step-by-step explanation:

\(-\left(1+7x\right)-6\left(-7-x\right)=36\)

Expand:

\(-1-7x+42+6x=36\)

\(-x+41=36\)

Subtract 41 from both sides:

\(-x+41-41=36-41\)

\(-x=-5\)

Divide both sides by -1:

\(\frac{-x}{-1}=\frac{-5}{-1}\)

\(x=5\)

Given : A linear equation is given to us . The equation is - ( 1 + 7x ) - 6 ( -7 - x ) = 36 .

To Find : The value of x .

Solution : The linear equation given to us is - ( 1 + 7x ) - 6 ( -7 - x ) = 36 . Let's simplify this step by step to find the value of x .

⇒ - ( 1 + 7x ) - 6 ( -7 - x ) = 36

\(\red{\underline{\tt Step \:1- Open \:the\:brackets.}}\)

⇒ - 1 - 7x +42 + 6x = 36 .

\(\red{\underline{\tt Step \:2- Group\: variables\:and\: constant\: terms.}}\)

⇒ -7x + 6x -1 +42 = 36 .

\(\red{\underline{\tt Step \:3- Transfer \: variables\:on\:one\: side\:\&\: constant\:terms\;on\: other\: side..}}\)

⇒ -x = 36 - 41

⇒ - x = -5

⇒ x = 5 .

\(\Large\boxed{\purple{\bf Value\:of\:x=5}}\)

Answer: 56%

Step-by-step explanation: To write the fraction 28/50 as a percent, remember that a percent is a ratio that compares a number to 100.

So we need to find a fraction that's equivalent

to 28/50 that has a 100 in the denominator.

To do this, we set up a proportion.

So we have 28/50 = n/100.

To find the value of n, we first find the fraction that

is equivalent to 28/50 that has a denominator of 100.

If we multiply both the numerator and denominator of

28/50 by 2, we can see that 28/50 = 56/100.

So 28/50 is equal to 56/100 or 56%.

Solution

Given that;

42, 10, 36, 51, 70, 28

max = 70

min = 10

range = 70 - 10 = 60

midrange = (max + min)/2

= (70 + 10)/2

= 80/2

= 40

Therefore, The range is larger than the midrange.

It will take 56 days for the lilypad to cover the entire pond. On day 28, the lilypad covers 1/2 of the pond, as we saw earlier.

The lilypad doubles in size each day, which means that if it covers a certain fraction of the pond on day n, it will cover twice that fraction on day n+1. In other words, if the lilypad covers 1/2^k of the pond on day k, then it will cover 1/2^(k-1) of the pond on day k+1.

If we let n be the number of days it takes for the lilypad to cover the entire pond, then we can say that on day n-28, the lilypad covers 1/2 of the pond (since on day n-28, the lilypad will be half the size of what it is on day n). Therefore, we want to solve for n-28 when the lilypad covers the entire pond, which is equivalent to the lilypad doubling in size 28 times:

1/2 * 2^28 = 2^(28-n+28)

Simplifying, we get:

2^(n-28) = 2^28

Taking the logarithm base 2 of both sides, we get:

n-28 = 28

Solving for n, we get:

n = 56

Therefore, it will take 56 days for the lilypad to cover the entire pond. On day 28, the lilypad covers 1/2 of the pond, as we saw earlier.

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Answer:

196 cm

Step-by-step explanation:

Area=  L×W

Area = 14×14 = 196 cm

Answer and Step-by-step explanation:

To find the area, simply times the 2 sides together.

14 times 14 is 196.

The area of a square with sides 14cm is 196cm.

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The inverse of the statement is "If a number does not have exactly two distinct factors, then the number is not prime." Thus Option 2 is the answer.

   When a conditional statement is reversed, the hypothesis and conclusion are both negated. The hypothesis in the original statement is "a number with exactly two distinct factors," while the conclusion is "is prime."

  To make the inverse, we negate both sections. "A number does not have exactly two distinct factors" is the antonym of "A number that has exactly two distinct factors." "Is not prime" is the opposite of "is prime."

    As a result, the inverse statement is "If a number does not have exactly two distinct factors, then the number is not prime."

     It's crucial to remember that a statement's inverse could or might not be accurate. In this instance, the inverse is true since the definition of a prime number is incompatible with the fact that a number has more than two components if it has more than exactly two different factors.

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Answer:

17 mi

Step-by-step explanation:

170/10=17

Answer:

17

Step-by-step explanation:

170 divided by 10 = 17

Double check: 17 x 10 = 170 (area).

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The expression to convert celcius to Fahrenheit isn't given.

Answer:

59°F

Step-by-step explanation:

However, the expression required for the conversion is :

Temperature (°F) = [Temperature (°C) * 1.8] + 32

Therefore, using the expression, we can convert a celcius temperature of 15°C to Fahrenheit ;

Temperature (°F) = (15 * 1.8) + 32

Temperature °F = 27 + 32

Temperature °F = 59°F

Answer:

D

Step-by-step explanation:

In 2 hours they wash 8 cars total so...

8

16

24

The extra time is 15 mins for 2 cars

Answer:

\( A = 350\pi \approx 1100 \)

Step-by-step explanation:

The shaded area is a sector with a central angle of 45 deg.

The total measure of the central angle of a full circle is 360 deg.

The central angle of the unshaded sector is

360 deg - 45 deg = 315 deg

The area of a sector of a circle with a central angle of n degrees and a radius r is

\( A = \dfrac{n}{360}\pi r^2 \)

\( A = \dfrac{315}{360}\pi \times 20^2 \)

\( A = 350\pi \approx 1100 \)

The type of variable that represents the names of the automobile manufacturers would be the categorical variable.

A variable is defined as the quantity that may change within the context of a mathematical problem, research work or an experiment.

There are various types of variables that include the following:

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The maximum possible outcome for the given situation is 36.

The number of favorable events to all the events in an experiment is the ratio that makes up the probability formula. Theoretical probability, Experimental probability, and Axiomatic probability are the three categories into which probability can be divided.

Given, Ruby is designing a new board game and is trying to figure out all the possible outcomes. she flips a coin, rolls a fair die in the shape of a cube that has six sides labeled 1 to 6, and spins a spinner with three equal-sized sections labeled Walk, Run, Stop.

Since there are three things happening simultaneously and favorable moments will be chosen by all three.

Thus Maximum possible outcome = 2 * 6 * 3 = 36

Therefore, For the given situation, 36 outcomes are available in total.

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A function, f = Σm(0,1,2,3,6,7,8,9,10,13,14,15). a. Minimal form of the sum of the function using K-map method can be obtained as follows.

Firstly, construct the Karnaugh map with the help of given function as shown below:abc|00|01|11|10 |__________|___|___|___|___ |0 | 1 | 1 | 0  |___|___|___|___ |1 | 1 | 1 | 1  |___|___|___|___From the above K-map, we can identify the following pairs of cells which are adjacent and can be combined together as shown below:abc|00|01|11|10 |__________|___|___|___|___ |0 | 1 | 1 | 0  |___|___|___|___ |1 | 1 | 1 | 1  |___|___|___|___∴

Minimal expression of the given function can be given as:f = b' + ac' + abcb. Circuit diagram for the given function f is shown below:  The circuit diagram can be simplified using Boolean algebra expression which is,f = b' + ac' + abcf = b' + ac' + a(b + c).

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\(3\leqslant |x+2|\leqslant 6\implies \begin{cases} 3\leqslant |x+2|\\\\ |x+2|\leqslant 6 \end{cases}\implies \begin{cases} 3 \leqslant \pm (x+2)\\\\ \pm(x+2)\leqslant 6 \end{cases} \\\\[-0.35em] ~\dotfill\)

\(3\leqslant +(x+2)\implies \boxed{3\leqslant x+2}\implies 1\leqslant x \\\\[-0.35em] ~\dotfill\\\\ 3\leqslant -(x+2)\implies \boxed{-3\geqslant x+2}\implies -5\geqslant x \\\\[-0.35em] ~\dotfill\\\\ +(x+2)\leqslant 6\implies \boxed{x+2\leqslant 6}\implies x\leqslant 4 \\\\[-0.35em] ~\dotfill\\\\ -(x+2)\leqslant 6\implies \boxed{x+2\geqslant -6}\implies x\geqslant -8\)

Answer:

it's 1 pm

you have to count the hours between 9 am and 3 pm = 6 then you divide 6 by 3 = 2 then 2*2= 4

Answer:

x-3+2x+3+2x = 5x

x+8+4x-3x-4 = 2x+4

4x+x-11-5X+25+4x = 4x+14

3x+5-2x-5x+9+8x = 4x+14

5+9x-7-4X-3x+6 = 2x+4

6x-9-5x+4-x+5x+5 = 5x

Step-by-step explanation:

Simplified by adding like terms

Answer:

d. All of the above are true

Step-by-step explanation:

All of the following statements,

a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1.

b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative.

C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant.

are true

Based on the given information, the operating characteristics of Willow Brook National Bank's drive-up teller window can be determined and the probability of customers having to wait for service can be calculated.

The arrival rate for the drive-up teller window is 0.5 customers per minute, while the service rate is 0.75 customers per minute. Since both arrival and service times follow exponential distributions, we can use the formulas for an M/M/1 queue to calculate the operating characteristics.

(a) The probability of having no customers in the system can be found using the formula P0 = 1 - (λ/μ), where λ is the arrival rate and μ is the service rate. Plugging in the values, P0 = 1 - (0.5/0.75) = 0.3333.

(b) The average number of customers waiting can be calculated using the formula Lq = (\(\lambda ^2\)) / (μ(μ - λ)). Plugging in the values,

Lq = (\(0.5^2\)) / (0.75(0.75 - 0.5)) = 0.6667.

(c) The average number of customers in the system is given by L = λ / (μ - λ). Plugging in the values, L = 0.5 / (0.75 - 0.5) = 1.

(d) The average waiting time for a customer can be calculated using the formula Wq = Lq / λ. Plugging in the values, Wq = 0.6667 / 0.5 = 1.3333 minutes.

(e) The average time a customer spends in the system is given by W = Wq + (1 / μ). Plugging in the values, W = 1.3333 + (1 / 0.75) = 2.6667 minutes.

(f) The probability that arriving customers will have to wait for service can be calculated using the formula Pw = λ / μ. Plugging in the values, Pw = 0.5 / 0.75 = 0.6667.

These calculations provide the operating characteristics of the drive-up teller window at Willow Brook National Bank.

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