Find an equation for the line parellel to 4y + 12x = 28 and goes through the point (-6, -8) . Write your answer in the form y = mx + b. Y =

It should not be significantly greater than 75%.

Now, A random sample of 100 people was taken i.e., n=100

Eighty of the people whose sample favored Candidate are i.e., x=80

We have used single sample proportion test,

p=x/n

p=80/100

P=0.8

Null hypothesis : candidate A> 75%.

Alternative hypothesis H1: candidate A is not significantly greater than 75%.

Applying test statistic Z-proportion,

Level of significance α = 0.05

Where, 80% = 0.80 and P = 75

Applying test statistic Z-proportion,

Substitute the values,

=0.80-0.75÷√0.75(1-0.75) ÷100

=0.80-0.75÷√0.1875 ÷100

=0.05÷0.0433

z=1.1547

The p-value is.

P(Z> 1.1547) 1-P (Z < 1.1547)

P (Z >1.1547) =1-0.8789

P(Z> 1.1547) 0.1241

Now, the p-value is greater than the 0.05.

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Answer:

11x + 45y ≤ 225

Step-by-step explanation:

So he has 150 + 75 = 225. you then would do

11x + 45y ≤ 225

Answer:

225 ≥ 11x + 45y

Step-by-step explanation:

150 + 75 = 225, so $225 is what Harry has to work with.

Harry can't spend more than $225, hence the "more than or equal to" sign.

"x" represents the number of movie tickets, which cost $11 each. "y" represents the number of video games, which are $45 each.

You must combine these terms to equal a number less than or equal to 225.

Answer:

4. The quotient of 0 and a is undefined.

Step-by-step explanation:

Let's examine each statement to see which is true or untrue.

✔️Statement 1:

a is a negative number. b is also a negative number. A negative number dividing another negative number would give us a positive number. That is the quotient of a and b would be positive.

Statement 1 is true.

✔️Statement 2:

Dividing 0 by any number would always give us 0. Therefore the quotient of 0 and c would be 0.

Statement 2 is correct.

✔️Statement 3:

c is a positive number. b is negative number. Positive divided by negative = negative.

Statement 3 is correct.

✔️Statement 4:

Dividing 0 by any number would give us a quotient of 0.

Statement 4 is incorrect. It is incorrect because ⁰/a = 0. But a/0 = undefined.

A. inequality that compares the temperatures of the two cities is: -2 > -6. B. inequality means city R, represented by -2 on the number line greater than the temperature of city S, represented by -6 on the number line. C.  city R is warmer than city S.

In mathematics, an inequality is a statement that compares two values or expressions and indicates that one is greater than, less than, or equal to the other. Inequalities are used to describe relationships between values that are not necessarily equal, and they are written using special symbols such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).

For example, the inequality 3x + 2 < 10 means that the expression 3x + 2 is less than 10. This inequality can be solved for x by subtracting 2 from both sides and then dividing by 3, yielding x < 2. This means that any value of x that is less than 2 will satisfy the inequality.

The inequality that compares the temperatures of the two cities is: -2 > -6

This inequality means that the temperature of city R, represented by -2 on the number line, is greater than the temperature of city S, represented by -6 on the number line. In other words, city R is warmer than city S.

On the number line, the further to the right a number is, the greater it is. Since -2 is to the right of -6, this indicates that -2 is greater than -6, which represents the fact that city R is warmer than city S.

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1) The Point-Slope Formula (y – y1) = m(x – x1)

2) The Slope-Intercept Formula y = mx + b

To determine the equation of a line, you may use two variations of the general form of a line.

These formulas are:

1) The Point-Slope Formula (y – y1) = m(x – x1)

2) The Slope-Intercept Formula y = mx + b

The standard form of a linear equation, also known as the “general form“, is:

ax+by=c

The letters aa, bb, and cc are all coefficients. When using standard form, aa, bb, and cc are all replaced with real numbers. The letter x represents the independent variable and the letter y represents the dependent variable.

A few notes on Standard Form:

Let us now determine the y-intercept. Remember, this is where the line crosses the y-axis and where x=0 To do so, we will substitute 0 for x

3y-5x=30

3y-5(0)=30

3y=30

y=10

Therefore, the y-intercept is at 10. This means the point (0,10) is on the graph.

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If the tubing size delivers 15 drops per gtt/ml, then the drip rate is 7 gtt/min.

This easy calculation can be used to determine the IV drip rate: Total Volume (mL)/Time (min) x Drop Factor (gtt/mL) equals IV Drip Rate (gtt/min) When given the volume to be injected, the drip rate, and the drop factor, this equation can also be rearranged to determine the amount of time needed for an infusion.

Based on how many drops (gtt) are given to the patient each minute, the rate of an intravenous infusion is described as having an IV drip rate. The amount that needs to be infused in total, the type of tubing used (microdrip vs. macrodrip), and the length of time the infusion is scheduled to run all have an impact on this.

We will use the drip rate formula

Total Volume(mL)/Time (min) x Drop Factor(gtt/mL) = IV Drip Rate (gtt/min)

18 hours = 18 × 60min

              = 1080 mins

IV Drip Rate = 500/1080 × 15

                    = 7 gtt/ min

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Answer:The reciprocal of 2/3 is 3/2. The product of 2/3 and its reciprocal 3/2 is 1.

Step-by-step explanation:

Answer:

1

2

3

Answer:

4/3 or 1 1/3

Step-by-step explanation:

Finding x

Substitute in the equation

Answer:

\(\huge\boxed{\bf\:\frac{4}{3} }\)

Step-by-step explanation:

If, \(x^{2} = 64\), then,

\(x^{2} = 64\\x = \sqrt{64}\\x = (+/-)8\)

Now, remember that any number when folllowed by exponent 0 will always have its value as 1.

Then,

\(\frac{1}{3} + x^{0} \\ =\frac{1}{3} + (+/-8)^{0} \\= \frac{1}{3} + 1\\=\frac{1}{3} +\frac{3}{3} \:\:\:\: (LCM = 3)\\ \boxed{\bf\:\frac{4}{3} }\)

\(\rule{150pt}{2pt}\)

Answer:

x=11.34

Step-by-step explanation:

formula : area of square = Length²

Length = √area of square

\(\rightarrow \sf Length =\sqrt{ 25y^2 - 20y + 4}\)

\(\rightarrow \sf Length =\sqrt{ 25y^2 - 10y -10y+ 4}\)

\(\rightarrow \sf Length =\sqrt{ 5y(5y - 2) -2(5y-2)}\)

\(\rightarrow \sf Length =\sqrt{ (5y-2)(5y-2)}\)

\(\rightarrow \sf Length =\sqrt{ (5y-2)^2}\)

\(\rightarrow \sf Length =5y-2\)

Answer:

i dont get it either

Step-by-step explanation:

Simply count the number of red marbles in each sample and divide by the total number of marbles in the sample (16). Then, take the average of those proportions to estimate the proportion of red marbles in the jar as a whole

Based on the information provided, the best conclusion we can make is an estimate of the proportion of red marbles in the jar. We can use the four random samples of 16 marbles to calculate the proportion of red marbles in each sample, and then take the average of those proportions to estimate the overall proportion of red marbles in the jar.

It's important to note that this estimate may not be perfectly accurate, since the samples are small and may not perfectly represent the entire jar. However, it's a useful way to get an idea of how many red marbles are in the jar without having to count all of them.

To calculate the proportion of red marbles in each sample

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Answer:

5

Step-by-step explanation:

pemdas

Answer:

\( \red{ 1 \: : \: 12500}\)

Step-by-step explanation:

First, let us convert these given scales in to same units. We can convert both into cm. As 8cm is already in centimeters, first let us convert 1km into centimeters.

\(lkm \rightarrow1000m \\ lkm\rightarrow(1000 \times 100)cm \\1 km\rightarrow100000cm\)

Now let us write these given two scales as a ratio.

\(8cm \: : \: 1km \\ 8cm \: : \: 100000cm \\ 8 \: : \: 100000\)

To write the answer in its simplest form let us divide both scales by 8.

\(1 :12500\)

Answer:

B

Step-by-step explanation:

Answer:

Line AB and the last AB

Step-by-step explanation:

Answer:

mean

Step-by-step explanation:

1. The mean is always one of the data values. 3. The mode is always one of the data values.

Answer: The mode.

Step-by-step explanation: The answer to this question is the mode, the answer is mode because there might be some numbers that show up the same amount of times like a different number. So there might be TWO modes :’).

Here are the definitions for mean, median, mode, and range:

Mean (the “average”) —> the sum of the numbers in the data set divided by the amount of numbers in the data set.

Median (the “middle”) —> the number in the middle of the data set, when the numbers are placed in numerical order.

Mode (the “most”) —> the number in the data set that shows up the most often.

Range —> the difference between the data set’s largest number and the data set’s smallest number.

——————————————————————

Hope this helps!!

Answer:

(-5, 38) and

(5,18)

Step-by-step explanation:

\(x^2-2x+3=-2x+28\\<=> x^2-2x+3+2x=28\\<=> x^2 = 28-3=25\\<=> x^2-25=0\\<=> x^2-5^2 =0\\<=> (x-5)(x+5)=0\\<=> x = 5 \ or \ x=-5\)

so the solutions are

(-5, 38) and

(5,18)

Mrs. Grubbs would get more cookie to eat by choosing the 4 smaller cookies with diameter 5 cm each rather than the single cookie with diameter 14 cm.

To compare the amount of cookie Mrs. Grubbs would get by eating a single cookie with diameter 14 cm and 4 smaller cookies with diameter 5 cm each, we need to consider the total area of the cookies.

The area of a cookie with diameter 14 cm can be calculated as follows:

A = πr^2 = π(7 cm)^2 = 49π cm^2

where r is the radius of the cookie.

On the other hand, the area of a single small cookie can be calculated as follows:

A1 = \(πr^2\) = \(π(2.5 cm)^2\)= \(6.25π cm^2\)

where r is the radius of the small cookie.

Therefore, the total area of 4 small cookies is:

A2 = 4A1 = \(4(6.25π cm^2)\) = \(25π cm^2\)

Comparing the two options, we see that the total area of the 4 small cookies is greater than the area of the single large cookie:

A2 > A

\(25π cm^2 > 49π cm^2\)

It's worth noting that this comparison assumes that the thickness or volume of the cookies is the same for both options. If the cookies have different thicknesses, then the comparison would need to take into account the volume of the cookies instead of just the area.

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Using the parallelogram law to find m, the value of m is 50°.

The parallelogram law states that the sum of the squares for a parallelogram's four sides is equal to the sum of the squares for its two diagonals.

The parallelogram must have equal opposed sides in Euclidean geometry.

If ABCD is a parallelogram, then AB = DC and AD = BC, the parallelogram law is stated as:

2(AB)² + 2 (BC)² = (AC)² + (BD)²

If the parallelogram is a rectangle, the parallelogram law is stated as:

2(AB)² + 2 (BC)² = 2(AC)²

The value of the unknown angles in the parallelogram are as follows:

CED = 180 - (60 + 33 + 37)

CED = 50°

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In order to buy eighteen, 40-ounce cans of pineapple juice from the supermarket, Greg has to pay $45.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given is a supermarket where pineapple juice costs $1 per pint (16 ounces). Greg wants to buy eighteen - 40 ounce cans of pineapple juice from the supermarket.

The cost of 16 ounces of juice = $1

Then, the cost of 1 ounce of juice = $ (1/16)

Therefore, the cost of 40 ounce of juice will be = (1/16) x 40 = $2.5

Number of 40 ounce cans Greg wants to buy = 18

Therefore, the total cost of 18, 40 ounce cans will be = 2.5 x 18 = $45

Therefore, in order to buy eighteen, 40-ounce cans of pineapple juice from the supermarket, Greg has to pay $45.

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Answer:

3 f

Step-by-step explanation:

(-1)+(4)

-+(4)

-+4

-f+4

-f+4

3

3

Answer:

5x-3

Step-by-step explanation:

unknow is x then do the thing get the answer

The expected number of pizzas to be stuffed crust is given as follows:

500.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The sample size is given as follows:

408 + 224 + 208 + 200 = 1040.

Out of these, 208 are stuffed crust, hence the probability is given as follows:

p = 208/1040.

Out of 2500 pizzas, the expected number is then given as follows:

E(X) = 2500 x 208/1040

E(X) = 500.

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Answer:

1360

Step-by-step explanation:

First, you do all the operations inside the parenthesis, and then you multiply the two. Also, remember the order of operations. Multiplication always comes before addition and subtraction.

(2.5x10-8)(9x10-10)

(25 - 8)(90 - 10)

(17)(80) = 17x80 = 1360

Answer:

A = 1/8

B = 1/4

C = 5/8

D = 7/8

Step-by-step explanation:

We have a number line between 0 and 1.

First we look at it into two equal intervals. One between 0 and 1/2, and the other between 1/2 and 1.

1/2 is the point before C.

Now we look between 0 and 1/2.

B is the midpoint of this segment.

So B is 1/2*(1/2) = 1/4

A is the midpoint between 0 and B, so 1/2*(1/4) = 1/8

C is the midpoint between 1/2 and 3/4

So

D is the midpoint between 3/4 and 1. So

Hence the correct option is to translate down 2 unit

Transformations can be non-rigid (when the preimage's size or shape is unaltered) or stiff (where the size is changed but the shape remains the same). These are the fundamental guidelines that this concept abides by. It is a straightforward approach to alter 2D forms.

Planar transformations and spaces can be distinguished from one another using the dimensions of the operand sets.

We have the parent function f(X)= x

and transformed function is g(x)= -3f(x+5)-2

the parent function f(x) is translated dawn 2 units and stretched by 5 .

Hence the correct option is to translate down 2 unit

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