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Pedro has scores of 85, 84, 69, and 82 after four tests. What score must he make on his fifth test to have an average of 79 or greater?
The score that Pedro needs on his fifth test to get an average of at least 79 is
(Round to the nearest integer as needed.)

Dimension of smaller garden :

l = 1/2 ft.

b = 2/3 ft.

Dimension of bigger garden :

L = 4 ft.

Let , breadth be x ft.

We know , area is given by :

Area = L×B.

Area of small garden = \(\dfrac{1}{2}\times\dfrac{2}{3}=\dfrac{1}{3}\ ft^2\)

Area of big garden \(=4\times x=4x\ ft^2\)

Hence, this is the required solution.

The number 105 should be added to - 96 to get a sum of 9.

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Now,

Let the value of number = x

So, We can formulate;

⇒ x + (-96) = 9

Solve for x;

⇒ x - 96 = 9

Add 96 both side,

⇒ x - 96 + 96 = 9 + 96

⇒ x = 105

Thus, The number 105 should be added to - 96 to get a sum of 9.

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The solution to the equations are b = 15, b = 22, c = 21 and n = 28

From the question, we have the following equations that can be used in our computation:

31 - b = 16

28 + b = 50

33 + c = 54

52 - n = 24

Next, we collect the like terms in each of the equation

This gives

b = 31 - 16

b = 50 - 28

c = 54 - 33

n = 52 - 24

Lastly, we evaluate the like terms

b = 15

b = 22

c = 21

n = 28

The above are the solutions to the equations

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Question

Solve the following equations:

31 - b = 16

28 + b = 50

33 + c = 54

52 - n = 24

Answer:

Step-by-step explanation:

surface area of the given image

= 1/2 (24) 35 (2 sides)  = 840 cm²

= 44 x 37 (2 sides)       = 3256 cm²

= 24 x 44 (bot base)   = 1053 cm²  

total                             = 5152 cm²          

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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Answer:

Step-by-step explanation:

To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.

For example:

y=-2/3(-6)=7

-2/3x6=-4

-4+7=3

(-6,3)

You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.

To get the x value, you need to fill in the y in the equation y=-2/3x+7

for example:

5=-2/3x+7

-2=-2/3x

3=x

(3,5)

y=-2/3x+7

y=-2/3(15)+7

y=-10+7

y=-3

(15,-3)

y=-2/3x+7

15=-2/3x+7

8=-2/3x

-12=x

(-12,15)

The key phase that we see in our response is "Divide the numerator by the denominator" (option C).

A key phrase refers to a phrase that contains words that define the most important part of a text. A key phrase serves as a summary of a paragraph or larger text.

In this case, the key phrase would serve to establish what was the mathematical procedure that we carried out to solve a mathematical problem. According to the above, it can be inferred that the key phrase must contain the most precise information to describe this procedure.

Based on the above, the correct answer is "Divide the numerator by the denominator" because it exactly describes the procedure that was performed.

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each video is 15 minutes long

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

4x3x2x1=24

Step-by-step explanation:

Answer: 21

Step-by-step explanation:

21

Answer:

The answer is C

Step-by-step explanation:

Answer:

10. Let m<Y = y.

Then,

m<Y + m<X +m<Z = 180 [ Sum of angles of triangle is 180 degrees]

or, y + (6x-23) + (4x + 9) = 180

or, y + 10x -14 = 180

or, y = 194 - 10x

or, m<Y = 194 - 10x

12. Solution,

a.  m<1 = 60 degrees [Each angles of equilateral triangle is equal to 60 degrees]

b.  In triangle WYZ,

m<Z + m<ZWY + m<ZYW =180 [Sum of angles of triangle is 180]

or, 138 + m<ZWY +m<ZWY =180 [Base angles of isosceles triangle are equal, i.e. m<ZYW = m <ZWY]

or, 2 (m<ZWY) = 180 -138 = 42

or, m<ZWY = 21 = m<ZYW

or, m<3 = 21 = m<5

c. Solution,

m<XWY = m<2 + m<3 [Addition axiom]

or, 60 = m<2 + 21 [Each angle of equilateral triangle is 60]

or, m<2 = 39

d. Solution,

m<4 + m<5 =60 [<XYW = 60 ]

or, m<4 + 21 = 60

or, m<4 = 39

Answer:

x = 2

Step-by-step explanation:

P = \(\frac{x-2}{x+1}\)

P will equal zero when the numerator is equal to zero , that is

x - 2 = 0 ( add 2 to both sides )

x = 2

P = 0 when x = 2

Answer:

s = 268.27

Step-by-step explanation:

simplify: 75+19547-11s=16671

simplify more: 19622-11s=16671

subtract 19622 on both sides: -11s=-2951

divide both sides by -11: s=268.27

Answer:

2020

Step-by-step explanation:

The rule that this sequence follows is that each number is the sum of the last three numbers:

1+1+1=3

1+1+3=5

1+3+5=9

3+5+9=17

5+9+17=31

We can see that every number is going to be odd because they are always the sum of three odd numbers, and three odd numbers always add up to be another odd number (odd+odd+odd=even+odd=odd).

Therefore, if all the numbers in the sequence are odd, all the numbers before the 2021st number will be odd, so our answer is 2020.

a. The missing value in the table 0.03

b. The mean is 4.18

c. The variance is 3.23 and standard deviation is 1.80

d.  The larger the standard deviation, the greater the spread of the probability distribution.

A random variable is a variable that can take on different values depending on the outcome of a random event. In this case, the random variable X represents the number of calls per hour to a call center in the last month.

a. The missing value in the table is the number of calls per hour for the probability 0.03. From the table, we see that the number of calls per hour is 7.

b. The mean, also known as the expected value, is a measure of the center of the probability distribution. It is calculated by taking the sum of the product of each possible value of X and its corresponding probability. In mathematical terms, the mean of X is given by:

E(X) = 1 * P(1) + 2 * P(2) + 4 * P(4) + 5 * P(5) + 6 * P(6) + 7 * P(7)

E(X) = 0.01 + 0.2 + 1.04 + 1.65 + 1.08 + 0.21 = 4.18

So, the mean number of calls per hour to the call center in the last month is 4.18.

c. The variance of X is a measure of the spread of the probability distribution. It is calculated by taking the sum of the squared differences between each possible value of X and the mean, multiplied by the corresponding probability. In mathematical terms, the variance of X is given by:

Var(X) = (1 - 4.18)² * P(1) + (2 - 4.18)² * P(2) + (4 - 4.18)² * P(4) + (5 - 4.18)² * P(5) + (6 - 4.18)² * P(6) + (7 - 4.18)² * P(7)

Var(X) = 3.23

The standard deviation is the square root of the variance, and it is also a measure of the spread of the probability distribution. In mathematical terms, the standard deviation of X is given by:

=> SD(X) = √(Var(X)) = √(3.23) = 1.80

d. Interpretation:

The mean of 4.18 calls per hour represents the average number of calls to the call center in the last month.

The standard deviation of 1.80 indicates that the number of calls per hour deviates from the mean by approximately 1.80 calls on average.

This means that about 68% of the time, the number of calls per hour will be between 2.38 (4.18 - 1.80) and 6.08 (4.18 + 1.80).

Complete Question:

The random variable X represents the number of calls per hour to a call center in the last month. The probability distribution for X is below.

x 1 2 4 5 6 7

P(x) 0.01 0.10 0.26 0.33 0.18 0.06 0.03

a. What is the missing value in the table?

b. Find the mean.

c. Find the variance and standard deviation.

d. Interpret your results.

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Answer:

22 + 34 = 56

Step-by-step explanation:

um you just add

Answer:

56 bread

Step-by-step explanation:

22 + 34 = 56

Answer:

43.5 % decrease

Step-by-step explanation:

Take the original price and subtract the new price

850-480

370

Divide by the original price

370/850

.435294118

Change to percent form by multiplying by 100

43.5294118 % decrease

43.5 % decrease

Answer:

Yo yo yo yoinayuajajaaiaiaiia

Step-by-step explanation:

bsjsjjajsjausuwuwhyy6uuuyyyyyyyyy666666666666666666666

Step-by-step explanation:

The volume of this rectangular prism include the following: 84.375 cubic meters.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have the following;

Volume of rectangular prism = 5 × 4 1/2 ×  3 3/4

Volume of rectangular prism = 5 × 4.5 ×  3.75

Volume of rectangular prism = 84.375 cubic meters.

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Answer:

the slope intercept form is   y = (1/2)x - 1

Step-by-step explanation:

The slope-intercept form is, y = mx + b

We see from looking at the graph that,

at x = 0, y = -1

So, from this we find that b = -1

at x = 2, y = 0,

now, we find the slope m,

using,

\(m = \frac{y_{2} -y_1}{x_2-x_1}\)

Using x_2 = 2, y_2 = 0,

x_1 = 0, y_1 = -1, we get,

m = (0-(-1))/(2-0)

m = 1/2

So, the slope intercept form is,

y = (1/2)x - 1

Answer:

The answer is the 1st one (A) because it already is written in standard form.

Step-by-step explanation:

Relative interest refers to the comparison of interest rates between different financial instruments or investment opportunities. It allows individuals or investors to assess and evaluate the attractiveness of various options based on their potential returns.

1. Understand the basic concept: Interest is the cost of borrowing money or the return earned on invested funds. Relative interest involves comparing the interest rates of different financial instruments or investments to determine which one offers a more favorable return.

2. Identify the investment options: Start by identifying the different investment opportunities or financial instruments available. These can include savings accounts, certificates of deposit (CDs), bonds, stocks, or other investment vehicles.

3. Research interest rates: Research and gather information about the current interest rates offered by each investment option. This information can usually be found on financial websites, through financial institutions, or by consulting with a financial advisor.

4. Compare interest rates: Once you have the interest rates for each investment option, compare them side by side. Look for the differences in rates and identify which options offer higher or lower returns.

5. Assess risk and return: Consider the level of risk associated with each investment option. Higher returns often come with higher risk, so it's essential to evaluate the risk-reward tradeoff.

6. Make an informed decision: Based on the comparison of interest rates and the risk-reward assessment, make an informed decision on which investment option aligns with your financial goals and risk tolerance.

Always remember to consider your financial goals, risk tolerance, and consult with a financial advisor if needed.

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Answer: x=40

Step-by-step explanation x-0.3x=28

Add similar elements x-0.3x=0.7x

0.7x=28

Multiply both sides by 10

0.7x · 10= 28  · 10

Refine

7x=280

Divide both sides by 7

Simplify

x = 40

The function is not defined at ±1 and vanishes (over the domain).

the positive over (1,∞).

Maxima and Minima Concept:

For the stated question.

Let the given equation be'y'.

y = (x^2-1)^1/2

Differentiate with respect to x.

dy/dx = x/√(x² - 1)

Put dy/dx = x/√(x² - 1) = 0, to get the critical points.

For this function, there is no maximum, neither minimum point.

The points  of absolute minimum are ±1.

The given function decreases in interval;(-∞, -1) and increasing over (1,∞).

Thus, the function is not defined at  ±1 and vanishes (over the domain).

the positive over (1,∞).

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The fraction of the area of the tray occupied by the blondies is 1/9.

To find the fraction of the area of the tray occupied by blondies, we need to determine the area occupied by the blondies and compare it to the total area of the tray.

Let's calculate the area of each individual blondie:

The blondies are squares with 3-inch sides, so the area of each blondie is 3 inches × 3 inches = 9 square inches.

Now, let's calculate the area occupied by the blondies in each row:

Since there are 4 rows of blondies and each row contains 4 blondies, the total number of blondies is 4 rows × 4 blondies per row = 16 blondies.

So, the total area occupied by the blondies is 16 blondies × 9 square inches per blondie = 144 square inches.

Next, let's determine the area occupied by the brownies:

The brownies are squares with 6-inch sides, so the area of each brownie is 6 inches × 6 inches = 36 square inches.

Since there are also 4 rows of brownies and each row contains 4 brownies, the total number of brownies is 4 rows × 4 brownies per row = 16 brownies.

Therefore, the total area occupied by the brownies is 16 brownies × 36 square inches per brownie = 576 square inches.

Now, let's calculate the total area of the tray:

Given that the tray is completely full and has an area of 648 square inches, we can subtract the area occupied by the brownies from the total area to find the remaining area occupied by the blondies:

Total area of the tray - Area occupied by the brownies = Area occupied by the blondies

648 square inches - 576 square inches = 72 square inches.

So, the fraction of the area of the tray occupied by the blondies is:

Area occupied by the blondies / Total area of the tray = 72 square inches / 648 square inches.

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 72 in this case:

72 square inches / 648 square inches = 1/9.

Therefore, the blondies' percentage of the tray's surface area is 1/9.

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Answer:

Z-score = 3.73

Yes, the maximum value (21) in this data set is a high outlier.

Step-by-step explanation:

I'll solve for what you haven't done yet, z-score and whether or not the maximum is an outlier.

Z-score tells us how many standard deviations a value is above or below the mean. The formula for z-score is \(\displaystyle z=\frac{x_i-\mu}{\sigma}\).

Substituting \(x_i=21, \mu = 4.428571429, \sigma=4.4336376551476\), we get \(z\approx 3.73\).

To determine if a value is an outlier, we use IQR, or Interquartile Range. If a value is lower than \(Q1-1.5\times IQR\) or higher than \(Q3+1.5\times IQR\), then we say it is an outlier.

With the value of 21, clearly we are only worried about it being a high outlier. Q1 is the median of the first half of the data and Q3 is the median of the second half. In this case, Q1 is 2 and Q3 is 6.5. IQR is equal to Q3-Q1, or 4.5 in this case.

Therefore, the higher limit for outliers is \(Q3+1.5\times IQR=6.5+1.5\cdot 4.5=13.25\). Any values above 13.25 are considered high outliers. Therefore, the maximum value of 21 is a high outlier.

The point-slope form of a line is:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line, and m is the slope

Replacing with point (-4, -2), we get:

y - (-2) = m(x - (-4))

y + 2 = m(x + 4)

If the slope is, for example, 3, the equation would be:

y + 2 = 3(x + 4)

If the slope is -2/5, the equation would be:

y + 2 = -2/5(x + 4)