A survey was given to a random sample of 195 residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. Of those surveyed, 117 respondents said they were in favor of the plan. Determine a 95% confidence interval for the proportion of people who favor the tax plan.

Answer:8 in each box

Step-by-step explanation:

U are multiplying 2 and 7 each by 8

Answer:

[tex]-1\frac{1}{3}[/tex]

Step-by-step explanation:

We can approach this equation algebraically. Since we know E = -3, we can substitute it into our Second equation, giving us:

-3G = 4

Divide both sides by 3 gives us :

G = [tex]-\frac{4}{3}[/tex]  =  [tex]-1\frac{1}{3}[/tex]

So, the possible coordinate of G is [tex]-1\frac{1}{3}[/tex].

Hope this helped!

Answer:

Step-by-step explanation:

y=3x^2 has a parabolic graph with its vertex at the origin, (0, 0).

y=3x^2 + 3 has the same graph shape, but its vertex and every other point are 3 units higher (away from the origin) up.

Answer:

a = 1, b = -2

Step-by-step explanation:

You are given values of x are 1 and 2 when the equation is 0

To solve the problem substitute the values of x into the equation

For x =1

1^2 + a(1) + b = 0

1 + a + b = 0

a+b = -1(call this equation i)

For x = -2

-2^2 + a(-2) + b = 0

4 - 2a + b = 0

-2a + b = -4 (call this equation ii)

Now solve equation i and ii simultaneously to get values of a and b.

a+b = -1

-2a+b = -4

By elimination method (also you can solve by substitution method) subtract equation ii from equation i, we get

3a = 3

Divide 3 both sides, you get

a = 1

Take the value of a above substitute it into either equation i or ii to get the value of b

Here i considered equation i

a + b = -1

1 + b = - 1

b = - 1 - 1

b = -2

Therefore a = 1, b = -2

Answer:

1. FC = 6

2. BC = 10

3. EC = 7

4. BA = 12

5. BC = 7

Step-by-step explanation:

⭐What is the centroid of a triangle?

Using the properties of a centroid, we can determine the lengths the problem is asking us for.

1. If CD = 12, find FC.

So if the median we need to look at is FD,

then CD : FC = 2:1

[tex]\frac{CD}{FC} = \frac{2}{1}\\\\\\\\[/tex] . . . . . . . . write the proportion

[tex]\frac{12}{FC} = \frac{2}{1}[/tex] . . . . . . . . . substitute the known values

[tex]12 = 2FC[/tex] . . . . . .  cross multiply

[tex]FC = 6[/tex] . . . . . . divide both sides by 2 to isolate FC

∴ FC = 6

2. If BG = 15, find BC

So if BG = 15, and BC is the distance from a vertex to the centroid, then BC is 2/3 of BG.

[tex]BC = \frac{2}{2}BG[/tex] . . . . . write equation

[tex]BC = \frac{2}{3}(15)[/tex] . . . . . substitute known values

[tex]BC = \frac{30}{3}[/tex] . . . . . . . . multiply numerators

[tex]BC = 10[/tex] . . . . . .  . . compute

∴ BC = 10

3. If AE = 21, find EC

So if AE is the full median, and EC is the distance from the centroid to the opposite side of a vertex, then EC is 1/3 of AE.

[tex]EC = \frac{1}{3}AE[/tex] . . . . . . . . write equation

[tex]EC = \frac{1}{3}(21)[/tex] . . . . . . . . substitute known values

[tex]EC = \frac{21}{3}[/tex] . . . . . . . . . . . multiply the numerators

[tex]EC = 7[/tex] . . . . . . . . . . . . compute

∴ EC = 7

4. If FA = 6, find BA

If BA is a side length that is bisected by a median, then FA is 1/2 of BA.

[tex]FA = \frac{1}{2}BA[/tex] . . . . . . . make equation

[tex]FA = \frac{1}{2}(6)[/tex] . . . . . . . . substitute known values

[tex]FA = \frac{6}{2}[/tex] . . . . . . . . . . . multiply the numerators

[tex]FA = 3[/tex] . . . . . . . . . . . compute

∴ FA = 3

5. If CG = 3.5, find BC

So if the median we need to look at is BG,

then BC : CG = 2:1

[tex]\frac{BC}{CG} = \frac{2}{1}[/tex] . . . . . . . . . . create the proportion

[tex]\frac{BC}{3.5} = \frac{2}{1}[/tex] . . . . . . . . . . substitute the known values

[tex]BC = 2(3.5)\\[/tex] . . . . . . . . cross multiply

[tex]BC = 7[/tex] . . . . . . . . . . . . . compute

∴ BC = 7

⭐if this response helped you, please mark it the brainliest ⭐

1 [infinity] is not defined because infinity is an abstract concept and cannot be used in the same way as numeric values. Infinity is not a number or a numerical value, and therefore it cannot be used in equations or arithmetic operations.

1. Infinity is an abstract concept and cannot be used in the same way as numeric values.

2. Infinity is not a number or a numerical value.

3. Therefore, it cannot be used in equations or arithmetic operations.

4. Therefore, 1 [infinity] is not defined.

1 [infinity] is not defined because infinity is an abstract concept and cannot be used in the same way as numeric values. Infinity is not a number or a numerical value, and therefore it cannot be used in equations or arithmetic operations.

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American nickels are issued as currency. A value of $1.70 is equal to 10 nickels and 12 dimes ($0.50 + $1.20).

A dime is worth ten cents and a nickel five cents. In other words, one dime is equivalent to two nickels.

In light of this, we might state that a nickel is worth half what a dime is worth.

Despite having a higher value than a nickel, the dime is smaller.

n + d = 22 <— d = 22-n

Amount in pennies: 5n + 10d = 170

5n + 10(22 - n) = 170

5n + 220 - 10n = 170

220 - 5n = 170

220 - 170 - 5n = 0

50 - 5n = 0

50 = 5n

n = 10

A value of $1.70 is equal to 10 nickels and 12 dimes ($0.50 + $1.20).

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Answer:

[tex]\small\mathfrak\green{2x + 10 + 46 = 180 \: = linear \: pair} \\ \\ \small\mathfrak\red{hope it helps...}[/tex]

Answer:

h=1/2Ab

Step-by-step explanation:

It will take you 6.5 hours to read a 312-page book

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

Rate = 12 pages of a book in 15 minutes

This means that

Rate = 12 pages/15 minutes

Convert to per hour

Rate = 12 pages/0.25 hour

Evaluate

Rate = 48 pages per hour

For a 312-page book, we have

Time = 312 pages/48 pages per hour

Evaluate

Time = 6.5 hours

Hence, the time is 6.5 hours

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Answer:

X < -7

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

The fourth quadrant, often known as Quadrant IV, is the bottom right quadrant. The x-axis in this quadrant is positive, whereas the y-axis is negative.

Two-dimensional Cartesian axes separate the plane into four infinite areas known as quadrants, each of which is bordered by two half-axes. These are frequently numbered 1 through 4.

90° arc; one-fourth of a circle. the region enclosed by such an arc and two sketched radii, one at each extreme. a component of a machine that has a quarter-circle form.

The x- and y-coordinates are both positive in quadrant I.

The x-coordinate is negative and the y-coordinate is positive in quadrant II.

The x- and y-coordinates are positive in quadrant III.

Quadrant IV: The x-coordinate is positive and the y-coordinate is negative.

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well, let's recall that a year has 12 months, so 9 months is really 9/12 of a year

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$1413\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years\to \frac{9}{12}\dotfill &\frac{3}{4} \end{cases} \\\\\\ I = (1413)(0.05)(\frac{3}{4}) \implies I = 1413(\frac{3}{80})\implies I\approx 52.99[/tex]

The pair of linear equations 3x + 5y = 3 and 6x + ky = 8 does not have any solution for any value of k.

We can rewrite the equations as:

3x + 5y = 3

6x + ky = 8

To solve this system, we need to eliminate one of the variables. To do this, we can multiply the first equation by 2 and the second equation by -3. This will give us:

6x + 10y = 6

-18x - 3ky = -24

Now we can add the two equations together and get:

-12x - 3ky = -18

Since the coefficient of x is 0, this equation does not have any solution for any value of k.

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On Monday, Evie practices 2T = 2*45 = 90 minutes.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

Let's call the amount of time Evie practices on Tuesday T.

On Monday, she practices twice as long as she does on Tuesday, so she practices 2T minutes.

On Thursday, she practices the same number of minutes as Tuesday, so she practices T minutes.

On Saturday, she practices 5 fewer minutes than three times her Tuesday practice, so she practices 3T-5 minutes.

We know that Evie practices 310 minutes in total in a week.

So we can set up an equation:

T + 2T + T + 3T-5 = 310

7T-5 = 310

7T = 315

T = 45

On Monday, Evie practices 2T = 2*45 = 90 minutes.

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Answer:

B

Step-by-step explanation:

Answer:

(b) -4,000,000

Step-by-step explanation:

Additive inverse is what you add to a number to make the sum zero. In other words, we just need to change the sign of the number to find its additive inverse, from - to + and from + to -

The triangle of 12 units has a height of 10.39 units by Divide the result by the area (A) after first multiplying the base (b) by 1/2.

what is triangle ?

A triangle, which is a polygon, has three sides and three vertices. One of geometry's basic shapes is it. A triangle with the vertices A, B, and C is referred to as Triangle ABC. A unique plane and triangle are discovered in Euclidean geometry when the three points are not collinear. Having three sides and three corners, a triangle is a polygon. The triangle's corners are defined as where the three sides meet one another end to end. 180 degrees is the sum of the angles in a triangle.

given

Given, side length, a = 12 units.

the height of equilateral triangle, h = (a√3)/2.

Substituting the value of 'a',

h = (12√3)/2 = 6√3 =

10.39 units.

The triangle of 12 units has a height of 10.39 units by Divide the result by the area (A) after first multiplying the base (b) by 1/2.

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Given:

Initial number of bacteria = 3000

With a growth constant (k) of 2.8 per hour.

To find:

The number of hours it will take to be 15,000 bacteria.

Solution:

Let P(t) be the number of bacteria after t number of hours.

The exponential growth model (continuously) is:

[tex]P(t)=P_0e^{kt}[/tex]

Where, [tex]P_0[/tex] is the initial value, k is the growth constant and t is the number of years.

Putting [tex]P(t)=15000,P_0=3000, k=2.8[/tex] in the above formula, we get

[tex]15000=3000e^{2.8t}[/tex]

[tex]\dfrac{15000}{3000}=e^{2.8t}[/tex]

[tex]5=e^{2.8t}[/tex]

Taking ln on both sides, we get

[tex]\ln 5=\ln e^{2.8t}[/tex]

[tex]1.609438=2.8t[/tex]                  [tex][\because \ln e^x=x][/tex]

[tex]\dfrac{1.609438}{2.8}=t[/tex]

[tex]0.574799=t[/tex]

[tex]t\approx 0.575[/tex]

Therefore, the number of bacteria will be 15,000 after 0.575 hours.

Answer:

11 grades of 85 did Brenda, Robert, and Timothy receive altogether.

Step-by-step explanation:

Let 6x be the number of 85 received by Brenda.

The number of 85 received by Robert is 1/3 of Brenda= 2x

The number of 85 received by Timothy is 1/2 of Brenda= 3x

Then according to the given conditions

6x+ 2x+ 3x

= 11x

So  the number of total 85s received by all the three is 11.

11 grades of 85 did Brenda, Robert, and Timothy receive altogether.

Answer:

11) I haven't done these yet don't go by my answers wait for more responses.

So if TR looks exactly half way from the middle and it says its 11, and if PS is basically two of TR then it would be 22. It looks to me that TR is 11 which is exactly half way I think, and PS looks double of TR so 2 x 11 = 22. Please go by the way you learned i don't know if I'm right.

12) If MK is exactly straight and its 10, half of 10 would be 5. I did half of 10 because L to M looks as if it is 10 already but since its L to the point in the middle that would be half way of the total line from L to M. So L to the point must be 5, MK is already given which is 10 so now we add 5 since L to the point in the middle is half way of 10 which is 5.

10(MK) + 5(L to the point in the middle of the circle) = 15

I don't want to be the one who brings your grades down so do by the way you learned.

a) Attached at the end.

b) Strong positive linear correlation.

c) The length of time is 220 minutes.

A set of dots plotted on a horizontal and vertical axis is known as a scatter plot. Because they can demonstrate the degree of connection, if any, between the values of observed quantities or events, scatter plots are crucial in statistics (called variables).

Given:

a) The Scatter plot Associated with data is attached below.

b) The Scatter plot shows the positive linear correlation between number of pieces in a jigsaw puzzle and time required for a person to complete it.

c) To complete the puzzle with 650 pieces it will take 220 minutes.

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Answer:

a)  See attachment.

b)  Strong positive correlation.

c)  247 minutes

Step-by-step explanation:

Plot the points from the given table on the given coordinate plane.

Draw a line of best fit.

(See attachment).

As the line of best fit has a positive gradient, the two variables are positively correlated.

As the line of best fit lies close to most of the points, this indicates there may be a strong correlation.

To predict the length of time it will take Dave to complete a 650-piece puzzle, locate 650 on the x-axis of the scatter plot, trace up to the line of best fit and read the y-value:

Therefore, it will take Dave approximately 247 minutes to complete a 650-piece puzzle.

Answer:

Step-by-step explanation:

12h + 15(4) = 444

12h + 60 = 444

12h = 444 - 60

12h = 384

h = 384/12

h = 32 <===== Hector worked 32 hrs

Answer:

Is it beth AND amy or Beth OR Amy?

The answer is yes since there are no repeating x values.

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

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Answer:

8x+14

Step-by-step explanation:

Answer:

About 226 feet.

Step-by-step explanation:

C = πd

C = π * 18 = 56.5486678

56.5486678 * 4 = 226.194671

Answer: 57x 38= 2166.  71x38= 2698.      31x25= 775            75x47= 3525        63x59=3717

Step-by-step explanation: