Find the midpoint of G and P.



4
5
2
2

Answer:

7

Step-by-step explanation:

if the number is x then you know 2x-9=5

2x=14

x=7

so the number is 7

Answer:

a = 4.949

b = 4.949

c = 7

Step-by-step explanation:

c ( hypothenuse ) = 7

to find a, use sine

Sine = \(\frac{opposite}{hypothenuse\\}\)

Sine 45 = \(\frac{a}{7}\)

sine of 45 is 0.707

0.707 = \(\frac{a}{7}\)

multiplt 7 on both sides:

0.707 x 7 = \(\frac{a}{7}\) x 7

a = 4.949

to find b, use cosine

Cosine = \(\frac{adjacent}{hypothenuse}\)

Cos 45 = \(\frac{b}{7}\)

cos of 45 is 0.707

0.707 = \(\frac{b}{7}\)

multiply 7 on both sides:

0.707 x 7 = \(\frac{b}{7}\) x 7

b = 4.949

Volume of rectangular prism = Length x width x height = lwh

Part a

l=5, w=7, h=8

Volume = 5 x 7 x 8

=280 cm^3

Part b

l=7, w=7, h=7

Volume = 7 x 7 x 7

Volume = 343cm^3

Part c

l=4.2, w=3.6, h=8.3

Volume= 125.496 cm^3

We have 98 % confidence that the true mean time a student sleeps per night is between 6.2928 hours and  7.1832 hours.

Mean = (8.6 + 8.3 + 7.6 + 6 + 7.1 + 5.6 + 5.1 + 6)/ 8 =  6.7875

Standard deviation = √Σ(x - mean)²/n

Σ(x - mean)² = (8.6 - 6.7875)^2 + (8.3 - 6.7875)^2 + (7.6 - 6.7875)^2 + (6 - 6.7875)^2 + (7.1 - 6.7875)^2 + (5.6 - 6.7875)^2 + (5.1 - 6.7875)^2 + (6 - 6.7875)^2

Standard deviation  : \(\sqrt{11.82875}/8\)

s = 0.42991

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Margin of error = z × s/√n

Where

sample standard deviation

number of samples

From the information given, the population standard deviation is unknown and the sample size is small, hence, we would use the t distribution to find the z score

In order to use the t distribution, we would determine the degree of freedom, df for the sample.

df = n - 1 = 8 - 1 = 7

Since confidence level = 98% = 0.98, α = 1 - CL = 1 - 0.98 = 0.02

α/2 = 0.02/2 = 0.01

the area to the right of z0.01 is 0.01 and the area to the left of z0.01 is 1 - 0.01 = 0.99

Looking at the t distribution table,

z = 2.998

Margin of error = 2.998 × 0.42/√8

                        = 0.4452

The lower limit of this confidence interval is

6.738 - 0.4452 = 6.2928

The upper limit of this confidence interval is

6.738 + 0.4452 = 7.1832

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According to the solving Sam will spend $585.00 of the money he collects on cleaning materials.

%, a relative figure signifying hundredths of any amount. Since one percent (symbolised as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified. percentage. Mathematical percentile is a related topic.

Sam collects $150.00 each day for 6 days, so the total amount he collects is:

$150.00/day x 6 days = $900.00

The shelter will use 35% of the money he collects to buy pet food. To find out how much money will be used to buy pet food, we can multiply the total amount Sam collects by 35% (or 0.35):

$900.00 x 0.35 = $315.00

So, $315.00 of the money that Sam collects will be used to buy pet food. To find out how much money will be used to buy cleaning supplies, we can subtract the amount used to buy pet food from the total amount collected:

$900.00 - $315.00 = $585.00

$585.00 of the money that Sam collects will be used to buy cleaning supplies.

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Answer:

The equation of the line is \(y + 3 = m(x + 4)\), in which m is found as such \(am = -1\), considering a the slope of the given line.

Step-by-step explanation:

Equation of a line:

The equation of a line, in point-slope form, is given by:

\(y - y_0 = m(x - x_0)\)

In which m is the slope and the point is \((x_0,y_0)\)

Perpendicular lines:

If two lines are perpendicular, the multiplication of their slopes is -1.

Passes through the point (-4,-3)

This means that \(x_0 = -4, y_0 = -3\)

So

\(y - y_0 = m(x - x_0)\)

\(y - (-3) = m(x - (-4))\)

\(y + 3 = m(x + 4)\)

The equation of the line is \(y + 3 = m(x + 4)\), in which m is found as such \(am = -1\), considering a the slope of the given line.

Answer:

I have no idea what the answer is because I am in 6th grade but good luck

Step-by-step explanation:

I don't know

Answer:

21, 42, 63, 84, 105, 126, 147

Step-by-step explanation:Total numbers in set: 7

Mean (Average) 84

Median (Middle): 84

Mode (Most Common): No mode of this set

Range (Biggest - Smallest): 126

Mean is the average of all data in set.

Median is the value which occurs most frequently in a data set.

Range is the difference between the largest, and smallest data set.

HOPES THIS HELPS IF YOU HAVE ANY QUESTION JUST COMMENT OR JST TELL ME

The area of the triangle FGH is equal to  13√10 unit²

Given that the vertices;

F(-5,-7), G(-2,-5), and H(-6,-2)

We have to find the area of the triangle as;

Area of triangle = 1/2bh²

Here,

Area of triangle FGH = 1/2 (GH) (FG)²

Now,

Length of FG =  √26

Length of GH =  √10

Then,

Area of triangle FGH = 1/2 (GH) (FG)²

Area of triangle = 1/2 × √10 × √26²

Area of triangle = 1/2 × √10 × 26

Area of triangle FGH = 13√10

Therefore,

The area of the triangle FGH = 13√10 unit²

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Answer:

Volume ≈ 153.93804 cm^3

Rounded to the nearest whole number, the volume of the cone is approximately 154 cm^3.

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

P(brown) = 12% = 0.12

P(Yellow) = 15% = 0.15

P(Red) = 12% = 0.12

P(blue) = 23% = 0.23

P(orange) = 23% = 0.23

P(green) = 15% = 0.15

A.) Compute the probability that a randomly selected peanut M&M is not yellow.

P(not yellow) = P(Yellow)' = 1 - P(Yellow) = 1 - 0.15 = 0.85

B.) Compute the probability that a randomly selected peanut M&M is brown or red.

P(Brown) or P(Red) :

0.12 + 0.12 = 0.24

C.) Compute the probability that three randomly selected peanut M&M’s are all brown.

P(brown) * P(brown) * P(brown)

0.12 * 0.12 * 0.12 =0.001728

D.) If you randomly select three peanut M&M’s, compute that probability that none of them are blue.

P(3 blue)' = 1 - P(3 blue)

P(3 blue) = 0.23 * 0.23 * 0.23 = 0.012167

1 - P(3 blue) = 1 - 0.012167 = 0.987833

If you randomly select three peanut M&M’s, compute that probability that at least one of them is blue.

P(1 blue) + p(2 blue) + p(3 blue)

(0.23) + (0.23*0.23) + (0.23*0.23*0.23)

0.23 + 0.0529 + 0.012167

= 0.295067

Parker would have approximately $13,774 in his account when Matthew's money has tripled in value.

We have,

For Matthew's investment, the continuous compounding formula can be used:

\(A = P \times e^{rt}\)

Where:

A = Final amount

P = Principal amount (initial investment)

e = Euler's number (approximately 2.71828)

r = Annual interest rate (in decimal form)

t = Time (in years)

In this case,

Matthew's money has tripled,

So A = 3P.

For Parker's investment, the formula for compound interest compounded annually is used:

\(A = P \times (1 + r)^t\)

Where:

A = Final amount

P = Principal amount (initial investment)

r = Annual interest rate (in decimal form)

t = Time (in years)

We need to find t when Matthew's money has tripled in value.

Let's set up the equation:

\(3P = P \times e^{rt}\)

Dividing both sides by P, we get:

\(3 = e^{rt}\)

Taking the natural logarithm of both sides:

ln(3) = rt

Now we can solve for t

t = ln(3) / r

For Matthew's investment,

r = 3 1/8% = 3.125% = 0.03125 (as a decimal).

For Parker's investment,

r = 2 3/4% = 2.75% = 0.0275 (as a decimal).

Now we can calculate t for Matthew's investment:

t = ln(3) / 0.03125

Using a calculator, we find t ≈ 22.313 years.

Now, we can calculate how much money Parker would have in his account at that time:

\(A = P \times (1 + r)^t\)

\(A = $8,000 \times (1 + 0.0275)^{22.313}\)

Using a calculator, we find A ≈ $13,774.

Therefore,

Parker would have approximately $13,774 in his account when Matthew's money has tripled in value.

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Answer:

20,763

Step-by-step explanation:

I saw the answer after I got it wrong

Answer:

Exponential

Step-by-step explanation:

A linear function is in the form of y = mx + b where m is slope and b is y-intercept.

An exponential function is in the form of y = abˣ where a is y-intercept and b determines if the function is growing or decaying.

From the question, we are given with y = 4ˣ. The function is obviously an exponential function as the independent variable or input variable is an exponent. It cannot be linear since it does not satisfy the form of y = mx + b.

The value of each company's product sold price is given as follows:

The values of each company's product sold price is obtained using a system of equations, for which the variables are defined as follows:

The sold sum of both the two companies salaries are $44,000,000, hence:

x + y = 44000000.

The sold price of company x is 1000 more than the other, hence:

x = 1000 + y.

Then the sold price of company y can be found replacing the second equation into the first, as follows:

1000 + y + y = 44000000

2y = 44000000 - 1000

y = (44000000 - 1000)/2

y = $21,999,500.

The sold price for company x is then calculated as follows:

x = 1000 + y = 1000 + 21999500 = $22,000,500.

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The value of x, given that when it divides a number, there is a quotient and a remainder, is 400

To find the value of divisor, we can use a variant of the division algorithm formula :

Divisor = ( Dividend - Remainder ) / Quotient

x is the divisor

Dividend = 19, 432

Remainder = 232

Quotient = 48

This means that the value of x is:

x = ( 19, 432 - 232 ) / 48

x = 19, 200 / 48

x = 400

In conclusion, x is 400.

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Answer:

Perpendicular it would be I hope it helps anr right

Answer:

The function \(f:\mathbb Z\to\mathbb Z,~f(x)=3x+4\) is injective (one-to-one).

Step-by-step explanation:

The definition of an injective function follows.

Let \(X,Y\) be sets. Let \(f:X\to Y\) be a function. We say \(f\) is injective if, for all \(x,y\in X\), \(f(x)=f(y)\) implies \(x=y\).

This is the proof that  \(f:\mathbb Z\to\mathbb Z,~f(x)=3x+4\) is injective.

Let \(x,y\in\mathbb Z\) and assume \(f(x)=f(y)\). This means \(3x+4=3y+4\). Subtracting \(4\) gives \(3x=3y\), then dividing by \(3\) gives \(x=y\). Thus \(f\) is injective.

It is important to note that representativeness is not solely determined by the sampling method. Other factors, such as the size of the population

To determine whether the sample is likely to be representative of the population of her patients if she selects every third name on the list, we need to consider the characteristics of the population and the potential bias introduced by the sampling method.

Sampling every third name on the list is a form of systematic sampling, where every kth element is selected from the population. This method can introduce bias if there is a pattern or regularity in the list that aligns with the characteristic of interest. In this case, if there is a pattern in the list that correlates with the patients' characteristics, selecting every third name may not result in a representative sample.

For example, if the list is arranged in alphabetical order by last name, and there is a correlation between patients' last names and their medical conditions, then selecting every third name could introduce bias. It may result in an overrepresentation or underrepresentation of certain conditions depending on the distribution of last names.

To determine the representativeness of the sample, we need to assess whether the sampling method is likely to introduce systematic bias or if the list is randomly ordered. If the list is randomly ordered and there is no known correlation between the order of the list and the patients' characteristics, selecting every third name may provide a representative sample.

However, it is important to note that representativeness is not solely determined by the sampling method. Other factors, such as the size of the population, the specific characteristics of interest, and the variability within the population, also play a role.

To make a definitive assessment of the representativeness of the sample, further information about the list and the population would be needed. Without such information, it is challenging to determine whether selecting every third name on the list would result in a representative sample of the population of her patients.

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Answer:

x times y- q

Step-by-step explanation:

You can use the letters they give you on the answer choices. My answer makes sense because you multiply 48 times 15 and then subtract 32 from it

Answer:

t=2.25

Step-by-step explanation:

9 divided by 4 is 2.25

and 4 x 2.25 is 9

Answer t = 9/4

Divide both sides of the equation by the same term

9 = 4t

9/4=9/4

The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

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Answer:

B. 864 mm³

Step-by-step explanation:

Volume = area base x height

Area base = 48

Height = 18

Multiply:

48 x 18 = 864

Units are mm³

Answer = 864 mm³

If my answer is incorrect, pls correct me!

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-Chetan K

The volume of the prism is 864 cubic units.

To calculate the volume of a prism, we use the formula: Volume = Area of Base x Height. In this case, the area of the base is given as 48 square units, and the height is given as 18 units.

To find the volume, we multiply the area of the base by the height:

Volume = 48 x 18 = 864 cubic units.

Therefore, the volume of the prism is 864 cubic units. Since the base area is given in square units and the height is given in units, the volume is expressed in cubic units. In this case, the units are mm³ (cubic millimeters).

Thus, the proper calculation yields a volume of 864 mm³.

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The compound interest when $15,000 at 6% compounded monthly for 10 years is $11,937.825.

Percent is a term used to describe a portion of a whole, expressed as a fraction of 100. It is represented by the symbol "%". Percentages are commonly used to express proportions, rates, and changes in values. For instance, we may talk about a 10% increase in sales, a 20% discount on an item, or a 50% probability of an event occurring.

Here,

To calculate the interest earned on an investment of $15,000 at a 6% annual interest rate, compounded monthly for 10 years, we can use the formula for compound interest:

A = P(1 + r/n)ⁿˣ

where:

A = the total amount after the specified time period

P = the principal amount (initial investment)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

x = the time period in years

Plugging in the given values, we get:

A = 15000(1 + 0.06/12)^(12*10)

A = 15000(1.005)^120

A = 15000(1.795855)

A = 26937.825

Therefore, the interest earned on the investment is:

Interest = A - P

Interest = 26937.825 - 15000

Interest = 11,937.825

So the interest earned is $11,937.825.

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Answer:

288

Step-by-step explanation:

First add 9 + 3

Then multiply it by 2

Finally divide it with 48

The value of the given expression 48 ÷ 2 (9 + 3) is 288, which is determined by orders of PEMDAS.

To evaluate the expression 48 ÷ 2 (9 + 3), we follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication, and Division from left to right, Addition, and Subtraction from left to right).

Let's break down the expression step by step:

Simplify the expression inside the parentheses:

9 + 3 = 12

Multiply:

48 ÷ 2 * 12

Divide:

48 ÷ 2 = 24

Multiply:

   24 * 12 = 288

Therefore, the value of the expression 48 ÷ 2 (9 + 3) is 288.

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What is the value of the below expression?

48÷ 2 (9 + 3)

The extra amount paid is 30000 where total amount paid is 210000 where as the the actual amount be 180000 .

What is percentage?

percentage can be defined as the product of ratio of given value , total value and hundred.

Given ,

A radio whose cash price is 180,000 can also be bought on hire purchase paying a deposit of 35% of the cash value followed by 6 equal monthly instalments of  24,500

The 35% of 180,000 = 35/100  *  180000

= 63000

So, the amount to paid over 6 months of 24500

amount could be = 6 * 24500

= 147000

So, the total amount paid  = 63000 + 147000

= 2, 10, 000

The total amount paid is 210000 where as the the actual amount be 180000  which is paid more that is 30000

Hence, The extra amount paid is 30000 where total amount paid is 210000 where as the the actual amount be 180000 .

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Answer:

n=5 and it's output is -13

Step-by-step explanation:

By inspection, the inputs increase by +1 and the outputs decrease by 2

Thus ,n=4+1=5 and it's output is -11-2=-13

The algorithm/abstract strategy to justify the fraction 3/5 involves interpreting it as a division, performing the division, and obtaining the decimal representation as the results.

To justify the fraction 3/5, we can use the concept of division and understand it as a ratio or proportion.

Algorithm/Abstract Strategy:

Start with the numerator, which is 3.

Identify the denominator, which is 5.

Interpret the fraction as a ratio or comparison between the numerator and denominator.

Understand that 3/5 represents a division where the numerator (3) is divided by the denominator (5).

Perform the division: 3 ÷ 5.

Simplify the division to its simplest form, if necessary.

The result of the division, in this case, is the decimal representation of the fraction.

If required, convert the decimal representation to a percentage or any other desired form.

For example, if we perform the division 3 ÷ 5, the result is 0.6.

So, 3/5 can be justified as the ratio or proportion where the numerator (3) is divided by the denominator (5) resulting in 0.6.

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Answer:

y = x + 60

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line

m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1

the line crosses the y- axis at (0, 60 ) ⇒ c = 60

y = x + 60 ← equation of line