what two numbers can you multiply to get -80 and also add to get -2

Answer:

Since 2.1387 is Greater Than 1.645;

we reject null hypothesis; we conclude that, the nickname is justified based on the data.

Step-by-step explanation:

Given the data in the question;

Null hypothesis H₀ : p = 0.262

Alternative Hypothesis H₁ : p > 0.262.

p" = 0.357

q = 1 - p = 1 - 0.262 = 0.738

n = 98

so;

z = (p" - p) / √(pq/n)

we substitute

z = (0.357 - 0.262) / √((0.262×0.738) / 98)

z = 0.095 / 0.04441869

z = 2.1387

at 5% CONFIDENCE INTERVAL

z-critical = 1.645

Since 2.1387 is Greater Than 1.645;

we reject null hypothesis; we conclude that, the nickname is justified based on the data.

The transformations are:

The transformations that appear here are:

Vertical dilation:

For a function f(x), a vertical dilation of scale factor k is written as:

g(x) = k*f(x)

Horizontal translation:

For a general function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N).

If N is positive, the shift is to the left.If N is negative, the shift is to the right.

Vertical translation:

For a general function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N.

If N is positive, the shift is upwards.If N is negative, the shift is downwards.

so:

f(x) + 5.5 is a translation of 5.5 units upwards.

5.5*f(x) is a vertical dilation of scale factor 5.5

f(x + 5.5) is a translation of 5.5 units to the left.

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A.Equation

Step-by-step explanation:

A. Equation 30 plus 4

Answer:

5,000

Step-by-step explanation:

=10÷2[500÷5{6+4}

=10÷2[500÷5×10]

=10÷2[100×10]

=10÷2×1000

=5×1000

=5000

Answer:

2.42 + 1.9 is 4.32

Models:

Use place value charts hundreds to make the models.

You can use 3 place value charts for 2.42 since it is 2 +0.42

and 2 for 1.9 since it is 1 + 0.90

The equation of a parabola with its vertex at the origin includes a negative coefficient 'a', the parabola opens downward. option B.

The equation y = ax² represents a parabola with its vertex at the origin. In this case, if the coefficient 'a' is negative, it determines the direction in which the parabola opens.

When 'a' is negative, the parabola opens downward. This means that the vertex, which is at the origin (0, 0), represents the highest point on the graph, and the parabola curves downward on both sides.

To understand this concept, let's consider the basic equation y = x², which represents a standard upward-opening parabola. As 'a' increases, the parabola becomes narrower. Conversely, when 'a' becomes negative, it flips the parabola upside down, resulting in a downward-opening parabola.

For example, if we have the equation y = -x², the negative coefficient causes the parabola to open downward. The vertex remains at the origin, but the shape of the parabola is now inverted.

In summary, when the equation of a parabola with its vertex at the origin includes a negative coefficient 'a', the parabola opens downward. This can be visually represented as a U-shape curving downward from the origin. So Optyion B is correct.

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Explanation:

The equation of a circle with center (x1, y1) and radius r is:

For this circle with center (-4, 11)the equation

Answer:

The amount she invested at each rate of interest for the simple interest are $39,100 and $78,200.

Given that,

Jolene invests her savings in two bank accounts.

Rate of interest for one account = 6% per year

Rate of interest for the other account = 10% per year

Let x be the principal amount invested in the account yielding 10% interest.

Interest amount = 0.1x

Principal amount in the account of 6% interest = 2x

Interest amount = 0.06 × 2x = 0.12x

Annual interest = $8602

0.1x + 0.12x = 8602

0.22x = 8602

x = $39,100

Amount invested for 10% interest account = $39,100

Amount invested for 6% interest account = 2 × $39,100 = $78,200

Hence the amount invested are $39,100 and $78,200.

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Answer:

False

Step-by-step explanation:

The probability of not selecting a blue marble is 3/5

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. It is the rate of the number of favorable outcomes to the total number of outcomes of an event.

How to determine this

A bag contains 6 blue marbles, 5 yellow marbles, 3 white marbles and 1 red marble

i.e 6 + 5 + 3 + 1 = 15 marbles

To calculate the probability of not selecting a blue marble

When blue marbles = 6

= \(\frac{15-6}{15}\)

= \(\frac{9}{15}\)

= 3/5

= 0.65

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Answer:

A) 8.5 miles per gallon

Step-by-step explanation:

Given

\(x = \{12\ 13\ 15\ 16\ 16\ 17\ 18\ 18\ 19\ 19\ 20\ 20\ 22\ 23\ 24\ 26\ 26\ 27\ 27\ 29\}\)

\(n = 20\)

Required

The IQR

This is calculated as:

\(IQR = Q_3 - Q_1\)

Calculate \(Q_1\)

\(Q_1 = \frac{1}{4}(n + 1)th\)

\(Q_1 = \frac{1}{4}(20 + 1)th\)

\(Q_1 = \frac{1}{4}(21)th\)

Remove bracket

\(Q_1 = 5.25th\)

This means that:

\(Q_1\) is the mean of 5th and 6th item

From the given data:

\(5th \to 16\)

\(6th \to 17\)

So, we have:

\(Q_1 = \frac{1}{2}(16 + 17)\)

\(Q_1 = \frac{1}{2}(33)\)

\(Q_1 = 16.5\)

\(Q_1 = 16.25\)

Calculate \(Q_3\)

\(Q_3 = \frac{3}{4}(n + 1)th\)

\(Q_3 = \frac{3}{4}(20 + 1)th\)

\(Q_3 = \frac{3}{4}(21)th\)

Remove bracket

\(Q_3 = 15.75th\)

This means that:

\(Q_3\) is the mean of 15th and 16th item

From the data:

\(15th \to 24\)

\(16th \to 26\)

So:

\(Q_3 = \frac{1}{2}(24 + 26)\)

\(Q_3 = \frac{1}{2}(50)\)

\(Q_3 = 25\)

Recall that:

\(IQR = Q_3 - Q_1\)

\(IQR = 25 -16.5\)

\(IQR = 8.5\)

You would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four years.

To calculate the monthly savings required to reach a savings goal of $3,000.00 over four years with a 10% annual interest rate,  we can use the PMT (Payment) function.

The PMT function helps us determine the fixed payment amount needed to achieve a specific future value within a given time frame.

Let's break down the given information:

Present Value (PV): $0.00 (initial account balance)

Future Value (FV): $3,000.00 (savings goal)

Interest Rate (rate): 10% per year (annual interest rate)

Number of Periods (nper): 4 years (48 months)

Using the PMT function, we need to plug in the values and solve for the monthly payment (savings amount).

The formula for the PMT function is:

PMT(rate, nper, pv, [fv], [type])

Where:

rate = Interest rate per period

nper = Total number of periods

pv = Present value (initial account balance)

fv = Future value (savings goal)

type = (Optional) Indicates whether the payment is made at the beginning (1) or end (0) of the period.

We'll assume 0 for monthly savings.

Let's calculate the monthly savings using the PMT function:

PMT(10%/12, 4*12, 0, -3000, 0)

Here, we divide the annual interest rate by 12 to get the monthly interest rate (10%/12), multiply the number of years by 12 to get the total number of months (4*12), set the initial account balance (pv) as $0, set the future value (fv) as -$3,000 (negative because it's an outgoing payment), and assume the savings are made at the end of each month (type = 0).

Using a financial calculator or spreadsheet software, the monthly savings required to reach the goal of $3,000.00 over four years with a 10% annual interest rate is approximately $56.62.

Therefore, you would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four year.

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Question : you want to reach $3,000.00 in savings over four years. Your account will earn 10% interest per yea Initially your account has a zero balance. How much must you save each month to achieve this goal? Use the PMT() function. Look it up in the e-book if you do not know how to use it. TIP: This is monthly so do not forget to adjust the interest rate and number of payment.

Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).

A formula for connecting two statements using the equal sign (=) to denote equivalence is known as a mathematical equation. A mathematical equation in algebra is a statement that proves the equality of two mathematical expressions. For instance, the formula 3x + 5 = 14 places an equal sign between the variables 3x + 5 and 14. The mathematical relationship between the two sentences on either side of a letter is established. Most of the time, the symbol serves as both the one and only variable. for instance, 2x – 4 = 2.

Here,

the two numbers' primary factors are as follows:

-25\(b^{2}\) + 15b

Common prime factors can be multiplied to determine the GCF:

=> -25\(b^{2}\)  = -(5)(5) * \(b^{2}\)

=> 15b = (5)(3)b

The expression can be factored in the following fashion because the GCF is 5b:

=> -(5)(5) * \(b^{2}\) +  (5)(3)b

=> (5b)(-5b+3)

Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).

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Answer:

D = 11

Step-by-step explanation:

A = 4

B = 9

C = 11

D = 4 + (2 * 9) - 11

D = 4 + 18 - 11

D = 22 - 11

D = 11

brainliest plz

Given statement solution is :-

1) Gather your electricity bills from the period before the summer break.

2) Create a comprehensive list of all the electrical appliances used in your home.

Include major appliances like air conditioners, refrigerators, washing machines, and smaller devices like televisions, computers, and lights.

3) Research or locate the power consumption information for each appliance.

4) Identify areas where energy consumption can be reduced, such as:

Turning off lights when not in use.

Setting air conditioner temperatures at an optimal level.

Using energy-efficient appliances.

5) After the summer break, collect your electricity bill for the corresponding period.

6) Include details about your energy reduction plan, the changes implemented, and the resulting impact on energy consumption and cost.

Provide recommendations for further improvements or adjustments to achieve even greater sustainability.

To conduct a comparative study of consecutive electric bills and analyze the impact of a reduction plan, you can follow the steps below:

Examine your electricity bills of pre-summer break:

Gather your electricity bills from the period before the summer break.

Look for details such as total energy consumption (in kilowatt-hours or kWh), billing period, and the cost per unit of electricity.

List the various electrical appliances used in your home:

Create a comprehensive list of all the electrical appliances used in your home.

Include major appliances like air conditioners, refrigerators, washing machines, and smaller devices like televisions, computers, and lights.

Find out the power consumption and duration for each device in use:

Research or locate the power consumption information for each appliance.

This information is typically provided on the appliance itself or in the user manual.

Note down the power rating of each device in watts (W) or kilowatts (kW).

Estimate the average duration each device is used daily in hours (e.g., 2 hours for a television, 8 hours for a refrigerator).

Calculate the estimated electricity consumption and cost:

Multiply the power rating (in kW) of each device by its average daily usage (in hours) to find the daily energy consumption (in kWh).

Multiply the daily energy consumption by the number of days in the billing period to get the total energy consumption for that period.

Multiply the total energy consumption by the cost per unit of electricity to calculate the estimated cost for each appliance.

Sum up the estimated costs for all appliances to get the total estimated electricity bill.

Make an energy reduction plan and determine implementation:

Identify areas where energy consumption can be reduced, such as:

Turning off lights when not in use.

Setting air conditioner temperatures at an optimal level.

Using energy-efficient appliances.

Unplugging devices when not in use.

Determine the feasibility of implementing these energy reduction measures in your home.

Re-examine your electricity bill of post-summer break:

After the summer break, collect your electricity bill for the corresponding period.

Calculate the actual energy consumption and cost using the same method as in step 4.

Compare the actual post-summer break bill with the estimated pre-summer break bill.

Note any changes in energy consumption and cost, and analyze the effectiveness of your energy reduction plan.

Document your reduction plan and changes in the bill:

Write a report summarizing your findings and observations.

Include details about your energy reduction plan, the changes implemented, and the resulting impact on energy consumption and cost.

Provide recommendations for further improvements or adjustments to achieve even greater sustainability.

By following these steps, you can conduct a comparative study of consecutive electric bills, analyze the effectiveness of your energy reduction plan, and track changes in energy consumption and costs.

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Answer:

c

Step-by-step explanation:

100% on edge

Since we want the temperature to be less than 8 degrees Fahrenheit, 8 would be the constant that Digby should use in the inequality.

what is inequality ?

An inequality is a mathematical statement that compares two values or expressions using one of the inequality symbols: "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to).

To write an inequality for the temperature during a winter day being less than 8 degrees Fahrenheit, we can use the inequality symbol "<" which means "less than."

So, the inequality would be:

Temperature < 8 degrees Fahrenheit

Therefore, Since we want the temperature to be less than 8 degrees Fahrenheit, 8 would be the constant that Digby should use in the inequality.

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The steps regarded essential for a successful simulation study are:

a. Problem formulation

b. Model validation

c. Model verification

d. Experimental design

e. Output analysis

To give any solution to the problem the very first step necessary is to understand the problem . Now through the observations of the process the problem is defined and formulated .

Keeping in mind the real life solutions and necessities a model is developed . Now the further process of verification and validation is carried out . In verification we make sure that the model works as we thought through animation whereas validation makes sure that the model reflects reality .

Experimental design multiple similar models are compared with minute changes and the performance are compared to find the best suited model.

Finally the results of the study are discussed in output analysis through written reports , documents or presentation and the best product is chosen .

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Completing the table with the appropriate percentage and decimals will be:

Fraction Decimal Percentage

1/4. 0.25. 25% of 1

1/10. 0.1. 10% of 1

3/4. 0.75. 75% of 1

1/5. 0.2. 20% of 1

3/2. 1.5. 150% of 1

7/5. 1.4. 140% of 1

It should be noted that based on the information, 0.1 will be 1/10. The percentage will be:

= 1/10 × 100

= 10%

0.1 to fraction will be:

= 1/10

The percentage for 1/5 will be:

= 1/5 × 100

= 20%

1/5 to decimal will be:

= 1/5

= 0.2

The decimal 1.5 will give 150%

The fraction for 1.5 will be:

= 1.5 / 1

= 15 / 10

= 3/2

Also 3/4 as percentage will be:

= 3/4 × 100

= 75%

75% to decimal will be:

= 75 / 100

= 0.75

140% to fraction will be:

= 140 / 100

= 7 / 5.

The decimal for 140% will be:

= 140 / 100

= 1.4

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The truth value of the conditional statement given as ((p -> q) ^ (q -> r)) -> (p -> r) is true

The conditional statement is given as:

((p -> q) ^ (q -> r)) -> (p -> r)

The interpretation of the above conditional statement is

If ((p implies q) and (q implies r)) then (p implies r)

This means that:

The first statement is true and it can be represented as:

p -> q -> r = p -> r

So, we have:

(p -> r) -> (p -> r)

Both statements are the same

Hence, the truth value of the conditional statement given as ((p -> q) ^ (q -> r)) -> (p -> r) is true

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Complete question

What is the truth value of the following conditional statement?

((p -> q) ^ (q -> r)) -> (p -> r)

Answer:

46 hours and 42 minutes

Step-by-step explanation:

2100/45 = 46.7

46 hours and 42 minutes

Hopefully this helps you :)

pls mark brainlest ;)

Answer:

1 adult ticket and 7 student tickets were purchased

Step-by-step explanation:

let a represent number of adult tickets purchased and s the number of student tickets purchased, then

a + s = 8 ( subtract s from both sides )

a = 8 - s → (1) ← based on total tickets purchased

10.5a + 7.25s = 61.25 → (2) ← based on cost of tickets

substitute a = 8 - s into (2)

10.5(8 - s) + 7.25s = 61.25

84 - 10.5s + 7.25s = 61.25

84 - 3.25s = 61.25 ( subtract 84 from both sides )

- 3.25s = - 22.75 ( divide both sides by - 3.25 )

s = 7

substitute s = 7 into (1)

a = 8 - 7 = 1

that is 1 adult ticket and 7 student tickets were purchased

The graph of the function y = 5|x - 4| is added as an attachment

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

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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Answer:

\( P(X \geq 1) =1-P(X<1) =1-P(X=0) \)

And we can use the probability mass function and we got:

\(P(X=0)=(4C0)(0.72)^0 (1-0.72)^{4-0}=0.00615\)

And replacing we got:

\( P(X \geq 1) = 1-0.00615 = 0.99385\)

Step-by-step explanation:

Let X the random variable of interest "number of graduates who enroll in college", on this case we now that:  

\(X \sim Binom(n=4, p=0.72)\)  

The probability mass function for the Binomial distribution is given as:  

\(P(X)=(nCx)(p)^x (1-p)^{n-x}\)  

Where (nCx) means combinatory and it's given by this formula:  

\(nCx=\frac{n!}{(n-x)! x!}\)  

We want to find the following probability:

\( P(X \geq 1)\)

And we can use the complement rule and we got:

\( P(X \geq 1) =1-P(X<1) =1-P(X=0) \)

And we can use the probability mass function and we got:

\(P(X=0)=(4C0)(0.72)^0 (1-0.72)^{4-0}=0.00615\)

And replacing we got:

\( P(X \geq 1) = 1-0.00615 = 0.99385\)

Answer: 0.166666667 yards OR 0.1524 meters OR 0.5 feet

Step-by-step explanation:

1 / 6 = 0.166666667 yards

1 yard = 0.9144 meters

0.9144 / 6 = 0.1524 meters

1 yard = 3 feet

3 / 6 = 0.5 feet

The term "isometric" has the Greek roots "isos," which means "same," and "metron," which means "measure." The definition of an isometric transformation is one in which the original figure and its transformed equivalent have the same shape, size, and orientation.

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Answer:

864

Step-by-step explanation:

80/100 simplified is 4/5

so you do 4/5 of 1080

which is 1080 divided by 5 that is 216

and then 216 x 4 which is 864

Answer:

26

Step-by-step explanation:

If the data is in order, the median is the middle value.

If there are two values in the middle, you add them together and divide by 2

So \(\frac{25+27}{2} =26\)

Answer:

. C. The graph of g(x) is the graph of f(x) stretched horizontally by a factor of 2.

g(x)=x² is the function of g(x).

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

Graph of g(x) is the graph of f(x) compressed vertically by a factor of 1/4

Graph of g(x) is the graph of f(x) shifted down 4 units

Graph of g(x) is a graph of f(x) shifted up 4 units

Graph of g(x) is a graph of f(x) stretched vertically by a factor of 4

g(x) = 4·f(x) = 4x²

Graph of g(x) is a graph of f(x) stretched vertically by a factor of 4

Graph of g(x) is a graph of f(x) compressed vertically by a factor of 1/4

=> g(x) = (1/4)f(x)  = x²/4

Graph of g(x) is a graph of f(x) shifted down 4 units

=> g(x) = f(x) - 4

Graph of g(x) is the graph of f(x) shifted up 4 units

=> g(x) = f(x) + 4

Graph of g(x) is a graph of f(x) stretched vertically by a factor of 4

=>  g(x) = 4·f(x) = 4x²

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