Help please I’m taking my iready testtt

Answer:  The slope-intercept form is y = -2x + 10

Step-by-step explanation:

Step 1: The y-intercept is the point where x=0, so that is (0,10)

Step 2: Use the points (-2,14) and (-1,12) to find the slope

Slope (m) = ΔY/ΔX = -2/1 = -2

Step 3: The slope-intercept form is:

y = mx+b

y = (step 2 value) x + (step 1 value)

y = -2x+10

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3:5

Step-by-step explanation:

change the kilogram into gram and then divide it

Answer:

3 : 5

Step-by-step explanation:

The quantities must have the same units

1 Kg = 1000 g , then

600 : 1000 ( divide both parts by 200 )

= 3 : 5 ← in simplest form

In Z12, the inverse of 3 is 9, and the absolute value of 3 is 3.

In the group Z12 with addition modulo 12, the value of 3^(-1) (the inverse of 3) and the absolute value of 3 need to be determined.

The inverse of an element in a group is an element that, when combined with the original element under the group operation, yields the identity element of the group. In this case, the identity element is 0, and we need to find the inverse of 3.

To find the inverse of 3 in Z12, we need to find an integer x such that 3 + x ≡ 0 (mod 12). In other words, we need to find a number x that, when added to 3 and reduced modulo 12, gives us 0. In this case, the inverse of 3 is 9 because 3 + 9 ≡ 0 (mod 12).

Next, we need to find the absolute value of 3. In Z12, the absolute value of an element is the smallest non-negative residue of that element. Since 3 is already a non-negative residue, the absolute value of 3 is simply 3.

Therefore, in Z12, the inverse of 3 is 9, and the absolute value of 3 is 3.

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1. Completing the conversion of 12 feet 8 inches to inches, Stella who stated that 12 feet 8 inches = 152 inches is correct unlike Vladimir who got 9 inches.

2. Stella and Vladimir need to convert the given measurement into inches.

3. No conversion factor is given for the problem.  However, the conversion factor could be found online or using the mathematical table.

4. Stella's and Vladimir's answers differ because Vladimir failed to convert the feet into inches.

5. Stella's answer is more reasonable, and it is correct because 12 feet equal 144 inches plus 8 inches, giving 152 inches.

6. The final answer should not just be a number without indicating the unit of measurement.

A unit conversion is the mathematical expression of the same property in a different unit of measurement.

For instance, instead of stating distance in kilometers, it can be depicted in miles.  Similarly, instead of reporting time in hours, it can be reported in minutes or seconds.

1 foot = 12 inches

12 feet = 144 inches

12 feet 8 inches = 152 inches (12 x 12 + 8)

Thus, in this situation, the measurement to be converted is feet to inches.

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The correct answer is option B. No value of k will make AB = BA

To check whether AB = BA, we need to multiply the matrices AB and BA and see if they are equal.

AB = [ 2 3-1 1] [ 2 9-3 k ]

[ 1 0 2 ] [ 0 0 1 ]

= [ 4 + 3(0) - 2k 18 - 9(0) - 3k ]

[ 0 + 0 + 2 0 + 0 + 1 ]

= [ 4 - 2k 18 - 3k ]

[ 2 1 ]

BA = [ 2 9-3 k ] [ 2 3-1 1]

[ 0 0 1 ] [ 1 0 2 ]

= [ 4 + 27 - 6k 6 - 3k - 3 ]

[ 1 0 ]

= [ 31 - 6k 3 - 3k ]

[ 1 0 ]

For AB = BA, we need to have

4 - 2k = 31 - 6k and 18 - 3k = 3 - 3k

Solving the first equation gives k = 9, and substituting k = 9 into the second equation gives 15 = 0, which is not true. Therefore, there is no value of k that makes AB = BA.

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The probability If no letter can be used twice, 32292000 ways different pass word options are there .

What is probability?

 Mathematical branch known as probability deals with determining the possibility of an event occurring. Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. The possibility of the result of any random event is known as probability. This phrase refers to determining the likelihood that any given event will occur.

Here a password contains 4 letters followed by 2 numbers.

Total number of alphabets = 26

If without repetition the words can be arranged as,

=> 26*25*24*23

Total numbers = 0 to 9 = 10

if without repetition the numbers can be arranged as ,

=> 10 * 9

If no letter can be used twice, number of  different pass word options are,

=> 26*25*24*23*10*9=32292000

Therefore there are 32292000 ways different password options available.

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Answer:

Step-by-step explanation:

Ending depth = -287

Starting depth= -212

Difference =      -75 feet

The submarine plans on dropping 15 feet a minute.

Time = displacement / time = -75/-15 = 5 minutes.

Answer: D

Answer:

Yes, it should work.

Step-by-step explanation:

DC=AB  (because it is a rectangle and they are parallel)

DA=CB (because it is a rectangle and they are parallel)

DB=AC (given)

Those are all sides and gives enough information for us to know that it is congruent.

Answer:

yes

Step-by-step explanation:

The correct statement is three fourths raised to the fourteenth power.

The Power rule for exponents: (am)n = am*n. To raise a number with an exponent to a power, multiply the exponent times the power. Negative exponent rule: x–n = 1/xn. Invert the base to change a negative exponent into a positive.

The important laws of exponents are :

Given:

(((3/4)^4 * (3/4)^3)^2

Now,

((3/4)^ ( 4+3))^2

=((3/4)^7)^2

=(3/4) ^(7*2)

=(3/4)^14

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The option are:

nine sixteenths raised to the twenty fourth power

nine sixteenths raised to the fourteenth power

three fourths raised to the twenty fourth power

three fourths raised to the fourteenth power

The probability that the sample mean is 36 or more pieces of candy is approximately 18.67%.

To calculate the probability that the sample mean is 36 or more pieces of candy, we need to use the properties of the normal distribution. Given that the population mean is 35 pieces of candy and the standard deviation is 5 pieces, we can use the Central Limit Theorem.
The Central Limit Theorem states that as the sample size increases, the distribution of the sample means approaches a normal distribution, regardless of the shape of the population distribution. Since the sample size is 40, we can assume a normal distribution.
To calculate the probability, we need to standardize the sample mean using the formula z = (x - μ) / (σ / √n),

where x is the sample mean, μ is the population mean, σ is the standard deviation, and n is the sample size.
In this case, x = 36, μ = 35,

σ = 5, and n = 40.

Plugging these values into the formula, we get z = (36 - 35) / (5 / √40)

≈ 0.8944.
To find the probability that the sample mean is 36 or more, we need to calculate the area under the normal curve to the right of z = 0.8944. Using a standard normal table or a calculator, we find that the probability is approximately 0.1867, or 18.67%.
Therefore, the probability that the sample mean is 36 or more pieces of candy is approximately 18.67%.

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Answer:

12y would be the answer

Step-by-step explanation:

To simplify, you first need to combine like terms

6y + 6y =12y

-10x+11x=x

x+12y+8 would be the simplified result

Answer:

x+12y+8

Step-by-step explanation:

8+6y-10x+6y+11x

8+6y+6y-10x+11x.......................collecting like term

8+12y+x = x+12y+8

Answer:

12 1/4 or (Decimal: 12.25)

Step-by-step explanation:

(3 1/2) (3 1/2)

= 7/2 (3 1/2)

= 7/2 (7/2)

= 49/4

= 12 1/4

   I hope I helped you!!

Step-by-step explanation:

When we multiplying, we find the sum of the exponents so

\(3 {}^{ \frac{1}{2} } \times 3 {}^{ \frac{1}{2} } \\ {3}^{ \frac{1}{2} + \frac{1}{2} } \\ = {3}^{ \frac{2}{2} } \\ = 3\)

Answer:

B. 3⋅5^6

BECAUSE

3x5=15 then there is the 6 left so 15^6

Answer:

6

Step-by-step explanation:

x^2 + 4 ÷ 2

-2^2 + 4 ÷ 2

4 + 4 ÷ 2

4 + 2

6

The distance between the line containing the points (0,-3) and (7,4) and the point P(4,3) is d =√2 units.

The distance between the line ax +by +c =0 and the point (x₁, y₁) is given by:

\(d=\frac{|ax_{1}+by_{1}+c|}{\sqrt{a^2+b^2}}\)

Given that, the line passes through the points (0,-3) and (7,4).

The equation of the line is given by:

\(y -(-3)=\frac{4-(-3)}{7-0}(x-0)\\\\y+3=x\\\\x-y-3=0\)

Now, the distance between the line x - y - 3 = 0 and point (4,3) is:
\(d=\frac{|1\times4+(-1)\times3+(-3)|}{\sqrt{1^2 +(-1)^2}}\\\\d=\frac{2}{\sqrt{2}}\\\\d=\sqrt{2}\)

Hence, the distance between the line containing the points (0,-3) and (7,4) and the point P(4,3) is d =√2 units.

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The set A ∩ B = {3}

The intersection of sets, denoted as A ∩ B, refers to the set that contains elements that are common to both sets A and B. In this case, set A consists of the elements {1, 2, 3, 6}, and set B consists of the elements {3, 4, 5}.

The intersection of A and B, written as A ∩ B, represents the set of elements that appear in both sets simultaneously.

To find the intersection of sets A and B, we examine each element of set A and check if it is also present in set B. In this case, the element 3 is the only element that exists in both sets.

Therefore, the intersection of sets A and B is {3}.

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The system of equations can be used to determine the solution. If the snack stand sold double as many hamburgers as hotdogs and made 121.50, 9 hot dogs were sold.

To determine the number of hot dogs sold at a snack stand, we can set up a system of equations based on the given information.

Let's assume the number of hot dogs sold is x and the number of hamburgers sold is 2x (since hamburgers were sold at double the quantity of hot dogs). The revenue from selling hot dogs can be calculated as 3.50x, and the revenue from selling hamburgers can be calculated as 5.00(2x) = 10.00x.

Since the total revenue is $121.50, we can set up the equation 3.50x + 10.00x = 121.50. Combining like terms, we have 13.50x = 121.50. Dividing both sides by 13.50, we find x = 9. Therefore, 9 hot dogs were sold.

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Debbie can buy a maximum of 4 t-shirts with the remaining $38 after purchasing the $22 jeans.

To determine the greatest number of t-shirts Debbie can buy, we need to find out how much money she will have left after purchasing the pair of jeans. Debbie has $60 to spend and the jeans cost $22. Therefore, she will have $60 - $22 = $38 left to spend on t-shirts.

Each t-shirt costs $8, so we divide the remaining amount by the cost per t-shirt: $38 / $8 = 4.75.

Since Debbie cannot buy a fraction of a t-shirt, we round down the decimal value to the nearest whole number. Therefore, Debbie can buy a maximum of 4 t-shirts with the remaining $38.

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To estimate the mean credit card balance owed by a bank's customers with a 98% confidence interval and a margin of error of $85, we need to determine the sample size. We can use the following formula for sample size calculation:

n = (Z^2 * σ^2) / E^2

Here, n is the sample size, Z is the Z-score corresponding to the desired confidence level, σ is the population standard deviation, and E is the margin of error.

For a 98% confidence interval, the Z-score is approximately 2.33 (you can find this value in a Z-score table). The population standard deviation (σ) is given as $300, and the desired margin of error (E) is $85.

Now, plug in these values into the formula:

n = (2.33^2 * 300^2) / 85^2
n ≈ (5.4289 * 90,000) / 7225
n ≈ 675,561 / 7225
n ≈ 93.48

Since we can't have a fraction of a customer, we should round up to the nearest whole number. Therefore, the bank should sample approximately 94 customers to achieve a 98% confidence interval with a margin of error of $85.

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As per the unitary method, the expression can be used to find the average monthly cost of an x-month membership at the club is written as

(50 + 12x)/x.

The expression in math is known as the mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Here we have given that Frank has to pay $50 as the registration fee and here we also given that this amount is compulsory to be paid

And we have also given that dues for $12 months is calculated as.

Then let us consider that the due to be paid every month be $x then the dues to be paid for 12 months will be 12x

Then the expression for the average monthly cost for x-month will be written as,

=> expression = total cost / total months

Then we have to apply the values on it, then it can be rewritten as,

=> (50 + 12x)/x

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Answer:

The fact that the sum of independent exponential random variables is gamma distributed network error.

Step-by-step explanation:

Let's denote the service time for each patient in minutes as X, and let A, B, and C represent the arrival times for Andrew, Bob, and Caroline, respectively. We know that X is exponentially distributed with mean 17 minutes, so its probability density function is f(x) = (1/17)e^(-x/17).

We want to find the probability that Caroline will be ready before Andrew, or equivalently, that Caroline's service time will be less than Andrew's service time.

Let Y be the service time for Caroline in minutes. Then we need to find P(Y < X_A), where X_A is the service time for Andrew.

Since the service times are exponentially distributed, we can use the memoryless property of the exponential distribution to find the conditional distribution of X_A given that Bob is still under treatment after 13 minutes.

That is, P(X_A > t + 13 | X_A > 13) = P(X_A > t). This implies that the conditional distribution of X_A - 13 given that X_A > 13 is also exponential with mean 17, i.e., X_A - 13 ~ Exp(1/17).

Now we can use the fact that the sum of independent exponential random variables is gamma distributed network error.

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Answer:

x = -10

Step-by-step explanation:

x/2 = -5

Multiply each side by 2

x/2 * 2 = -5 *2

x = -10

Answer:

Step-by-step explanation:

Given that the diameter of the flower bed is 17 m and the width of the side walk is 2 m for a total out side diameter of 21 m.

Total Area is pi *(D/2)^2 = 346.4 m^2

Now subtract the area of the 17 m diameter flower bed for the area of the sidewalk alone. 346.4 - (pi*(17/2)^2 = 346.4 - 227.0 = 119,4 m^2

Answer:  119,4 m^2

Step-by-step explanation:

The equation is area = p times r^2

8 times eight times 3.14 =  119,4 m^2

Answer:

same time , 12 minutes

Step-by-step explanation:

'A' can eat 1÷6 pizza in 2 minutes

Therefore, 'A' can eat full pizza in 6×2 minutes=12 minutes

'B' can eat 1÷4 pizza in 3 minutes

therefore, 'B' can eat full pizza in 3×4 minutes=12 minutes

So, Both 'A' and 'B' will finish at same time.

When throwing a pair of dice, there are a total of 6 sides on each die, which gives us 6 x 6 = 36 possible outcomes. The total number of spots (the sum of the numbers on the dice) can range from 2 to 12.

When a pair of dice are thrown, there are three possible outcomes for the total number of spots: 1) The sum of the spots on both dice is less than 7. This occurs when the first dice lands on a number between 1 and 6, and the second dice lands on a number that will make the total less than 7 (e.g. if the first dice lands on 3, then the second dice must land on a number less than or equal to 3).  2) The sum of the spots on both dice is exactly 7. This occurs when the first dice lands on a number between 1 and 6, and the second dice lands on the number that will make the total equal to 7 (e.g. if the first dice lands on 2, then the second dice must land on 5).  3) The sum of the spots on both dice is greater than 7. This occurs when the first dice lands on a number between 1 and 6, and the second dice lands on a number that will make the total greater than 7 (e.g. if the first dice lands on 4, then the second dice must land on a number greater than 3).

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(t₁......t₆) = (5, 1, 44, 10, 90, 20) is the solution of the given matrix.

(A) An augmented matrix for a system of equations is a matrix of numbers where each column represents all the coefficients for a single variable and each row represents the constants from one equation (both the coefficients and the constant on the other side of the equal sign).

The system's augmented matrix is shown here:

\(\left[\begin{array}{cccccc|c}1 & 1 & 1 & -\frac{1}{2} & -\frac{1}{2} & 0 & 0 \\0 & 1 & 1 & 1 & -\frac{1}{2} & -\frac{1}{2} & 0 \\0 & 1 & 0 & 0 & 0 & 0 & 1 \\0 & 0 & 0 & 1 & 0 & 0 & 10\end{array}\right]\)

(B) Use these row operations to convert this augmented matrix to a reduced echelon form.

Here is the augmented matrix's reduced echelon form:

\(\left[\begin{array}{ccccccc}1 & 0 & 0 & 0 & 0 & \frac{1}{2} & 15 \\0 & 1 & 0 & 0 & 0 & 0 & 1 \\0 & 0 & 1 & 0 & -\frac{1}{2} & -\frac{1}{2} & -11 \\0 & 0 & 0 & 1 & 0 & 0 & 10\end{array}\right]\)

(C) There are more rows:

\(\begin{array}{lllllll}0 & 0 & 0 & 0 & 0 & 1 & 20\end{array},\\\begin{array}{lllllll}1 & 1 & 1 & 0 & 0 & 0 & 50\end{array}\)

Augmented matrix:

\(\left[\begin{array}{ccccccc}1 & 0 & 0 & 0 & 0 & \frac{1}{2} & 15 \\0 & 1 & 0 & 0 & 0 & 0 & 1 \\0 & 0 & 1 & 0 & -\frac{1}{2} & -\frac{1}{2} & -11 \\0 & 0 & 0 & 1 & 0 & 0 & 10 \\0 & 0 & 0 & 0 & 0 & 1 & 20 \\1 & 1 & 1 & 0 & 0 & 0 & 50\end{array}\right]\)

(D) You must employ these row operations in order to solve the system.

\(\left[\begin{array}{lllllll}1 & 0 & 0 & 0 & 0 & 0 & 5 \\0 & 1 & 0 & 0 & 0 & 0 & 1 \\0 & 0 & 1 & 0 & 0 & 0 & 44 \\0 & 0 & 0 & 1 & 0 & 0 & 10 \\0 & 0 & 0 & 0 & 1 & 0 & 90 \\0 & 0 & 0 & 0 & 0 & 1 & 20\end{array}\right]\)

Therefore, (t₁......t₆) = (5, 1, 44, 10, 90, 20) is the solution of the given matrix.

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Answer:

See below

Step-by-step explanation:

I do not see any options, but it is important to note that the bigger the level of confidence, the larger the margin of error will be.