Determine whether any of the listed candidates has a majority. Four (4) candidates running for congress receive votes as follows: Hint: Use the Majority Rule

Alberts (A): 45,771, Brown (B): 12,483, Cassimatis (C): 33,288, DʹAmico (D): 29,127

Given for a rectangle:

The length = x + 6

The width = x - 4

The area of the rectangle = length times width

So, the expression in terms of x will be:

Based on the maximum taxable amount for social security in 2009, and the social security tax rate, the social security tax that Larry paid was $7,347.

The total amount paid by Larry as Social security tax can be found as;

= Maximum amount allowable for social security tax x Social security tax rate

The social security tax rate was 6.2% not 62.2%.

The social security tax was therefore:

= 118,500 x 6.2%

= $7,347

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Answer:

First graph

Step-by-step explanation:

Here we have x ≥ 0, and y ≥ - 2, not x ≥ 0 and y ≥ 0. Thus, it doesn't restricts us fully to quadrant 1, but somewhat off considering y ≥ - 2. Now all we have to do is plot the following system of inequalities -

\(\begin{bmatrix}8x+12y\le \:92\\ 11x+7y\le \:79\\ x+y\ge \:5\end{bmatrix}\)

Convert each into slope intercept form -

\(\begin{bmatrix}y\le \frac{23-2x}{3}\\ y\le \frac{79-11x}{7}\\ y\ge \:5-x\end{bmatrix}\)

Which should be bounded by a small region similar to graph 1! The shaded region represents each intersection with respect to their restriction to quadrant 1.

Hope that helps!

Answer:

1, 3, and 4

Step-by-step explanation:

Answer:

A, C, and D

Step-by-step explanation:

Hope this helps!

Answer:

-23

Step-by-step explanation:

6(-3)-3(2)+1

-18-6+1

-24+1

=-23

The length of the third side is 14.4 units.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

We find the third side of a triangle by using Pythagoras theorem.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides

8²+12²=x²

64+144=x²

208=x²

Take square root on both sides

x=14.4

Hence, the length of the third side is 14.4 units.

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Answer:

----------------------

There are various combinations of coins.

In total there are:

Answer:

No

Step-by-step explanation:

Because when you divide 16/5 it's 3 1/5

3 1/5< 4

Answer:

$465 for that week

Step-by-step explanation:

Since Morgan makes $15.50 an hour and she works for 30 hours the answer would be multiplication which would be this:

$15.50 × 30 = $465

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Answer:

she earned $465

Step-by-step explanation:

you multly the money by the hours

$15.50 x 30= 465

Step-by-step explanation:

this is the answer refer to this ,I typed it myself

pls mark me as brainliest

Answer:

its c

Step-by-step explanation:i like to make step by step i just need the points

Comparibg the probabilities and interpreting the likelihood, the true statement is that:

A. Player 1 is more likely to hit the ball than Player 2 because P(Player 1) > P(Player 2)

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur.

Player 1 = six tenths = 0.6

Player 2 = five ninths = 0.56

Player 3 four sevenths = 0.57

This shows that player 2 has the highest probability. The correct option is A.

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Answer:

DC=12, AD=5, DB=13, 90 degrees

Step-by-step explanation:

Hope this helps!!!

Let me know if you want an explanation!

Answer: In decimal form, 14.85

Answer in fraction form: 297/20

Step-by-step explanation:

Answer:

8^2/9^2

64/81

Step-by-step explanation:

8^2/9^2

64/81

Answer: hello! :)

\((\frac{8}{9})^{2} \\\) in simplest form is 64/81.

Answer:

1

Step-by-step explanation:

bc I know

The measures of angles x, y and z are 40°, 50° and 130° and measures of the segments are AY = 16, IY = 9, FG = 30, AP = 24

Centroid is the point in a triangle where all the medians of the triangle intersects.

Given are two triangles, in first we have to find the missing angles and in the second one we need to find the asked segments,

1) We know that, in a right triangle, one angle is 90° and the sum of other two sides is 90°,

Therefore, 40°+y = 90°

y = 50°

x+y = 90°

x = 90°-50°

x = 40°

z = 180°-50° (linear pair)

z = 130°

2) we know that, the centroid divides the medians into 2:1

AY = 2YP

AY = 16

IY = TY/2

IY = 9

FG = GY+YF   (segment addition postulate)

GY = YF/2

GY = 10

FG = 10+20 = 30

PA = AY+YP  (segment addition postulate)

PA = 8+16

PA = 24

Hence. the measures are x, y and z are 40°, 50° and 130° and  AY = 16, IY = 9, FG = 30, AP = 24

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Answer:

u = -9

Step-by-step explanation:

Answer:

u=-9

Step-by-step explanation:

2u+2u=4u

6-42=-36

-36/4

-9

Answer:

= 5x-39-18-12x

=5x-12x-39-18

=-7x-57

Answer:

946 people

Step-by-step explanation:

Find how many you would predict to be satisfied by multiplying 1,100 by 0.86:

1,100(0.86)

= 946

So, you could expect 946 people to be satisfied

Answer:

Step-by-step explanation:

The opposite of 945 is -945.

the opposite of -945 is 945.

The opposite of the opposite of 945 is 945.

Answer:

Step-by-step explanation:

Random sampling is a procedure for sampling from a population in which (a) the selection of a sample unit is based on chance and (b) every element of the population has a known, non-zero probability of being selected.

Answer:

A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen.

I hope this helped...

Answer: a) 76 : 24

              b) 24 : 76

Step-by-step explanation: Odds describe the possibility an event will occur, i.e., is the ratio of an event being successful with the chance of an event failing. It can be in favor or against:

a) Odds in favor

\(favor=\frac{76/100}{24/100}\)

\(favor=\frac{76}{24}\)

or

favor = 76 : 24

Odds in favor of a man agreeing owning a house is an important part of adult life is 76 : 24.

b) Odds against

\(against=\frac{24/100}{76/100}\)

\(against=\frac{24}{76}\)

or

against = 24 : 76

Odds against of a man agrreing that owning a house is an important part of adult life is 24 : 76

Answer:  $130 money did Brenda and Hazel have all together before buying decorations and snacks.

Here, we have,

You want to know Brenda and Hazel's combined money when the ratio of their remaining balances is 1 : 4 after Brenda spent $58 and Hazel spent $37. They had the same amount to start with.

Setup

Let x represent the total amount the two women started with. Then x/2 is the amount each began with, and their fnal balance ratio is ...

 (x/2 -58) : (x/2 -37) = 1 : 4

Solution

Cross-multiplying gives ...

 4(x/2 -58) = (x/2 -37)

 2x -232 = x/2 -37 . . . . . . eliminate parentheses

 3/2x = 195 . . . . . . . . . . . . add 232-x/2

 x = (2/3)(195) = 130 . . . . . multiply by 2/3

Brenda and Hazel had $130 altogether before their purchases.

Alternate solution

The difference in their spending is $58 -37 = $21.

This is the same as the difference in their final balances.

That difference is 4-1 = 3 "ratio units", so each of those ratio units is $21/3 = $7.

Their ending total is 1+4 = 5 ratio units, or $35.

The total they started with is $58 +37 +35 = $130.

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complete question:

Brenda and Hazel decide to throw a surprise party for their friend, Aerica. Brenda and Hazel each go to the store with the same amount of money. Brenda spends $58 on decorations, and Hazel spends $37 on snacks. When they leave the store, the ratio of Brenda’s money to Hazel’s money is 1 : 4. How much money did Brenda and Hazel have all together before buying decorations and snacks?

Answer:

-59<-54

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

Find cost price for each memory card

The store paid for 50 memory cards

The domain and the range of the function are given as follows:

The function approaches y = 0 as x approaches positive infinity.

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Answer:

0.25

Step-by-step explanation:

khan academy

Answer:

1) The normal distribution should be used for the sample mean because the population distribution is known to be normal (answer b).

2) C. H0: mu = 519, H_1: mu not equal to 519, reject if z> 1.96 or z< -1.96.

3) Yes. There is enough evidence to support the claim that the true mean is not 519 ml.

Step-by-step explanation:

1) When the population follows a normal distribution, it is correct to assume a normal distribution for the sample mean.

2) As it is a two-tailed decision rule, we are interested in detecting a significant difference below and above the mean. This is why we use the unequal sign in the alternative hypothesis.

The null hypothesis state that there is not significant difference from 519.

The critical value for a significance level of 5% is z=1.96.

\(H_0: \mu=519\\\\H_a:\mu\neq 519\)

3) The claim is that the true mean is not 519 ml.

Then, the null and alternative hypothesis are:

\(H_0: \mu=519\\\\H_a:\mu\neq 519\)

The significance level is 0.05.

The sample has a size n=16.

The sample mean is M=522.

The standard deviation of the population is known and has a value of σ=6.

We can calculate the standard error as:

\(\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{6}{\sqrt{16}}=1.5\)

Then, we can calculate the z-statistic as:

\(z=\dfrac{M-\mu}{\sigma_M}=\dfrac{522-519}{1.5}=\dfrac{3}{1.5}=2\)

This test is a two-tailed test, so the P-value for this test is calculated as:

\(\text{P-value}=2\cdot P(z>2)=0.046\)

As the P-value (0.046) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the true mean is not 519 ml.

From the constraint, we have

\(x+y+z=9 \implies z = 9-x-y\)

so that \(s\) depends only on \(x,y\).

\(s = g(x,y) = xy + y(9-x-y) + x(9-x-y) = 9y - y^2 + 9x - x^2 - xy\)

Find the critical points of \(g\).

\(\dfrac{\partial g}{\partial x} = 9 - 2x - y = 0 \implies 2x + y = 9\)

\(\dfrac{\partial g}{\partial y} = 9 - 2y - x = 0\)

Using the given constraint again, we have the condition

\(x+y+z = 2x+y \implies x=z\)

so that

\(x = 9 - x - y \implies y = 9 - 2x\)

and \(s\) depends only on \(x\).

\(s = h(x) = 9(9-2x) - (9-2x)^2 + 9x - x^2 - x(9-2x) = 18x - 3x^2\)

Find the critical points of \(h\).

\(\dfrac{dh}{dx} = 18 - 6x = 0 \implies x=3\)

It follows that \(y = 9-2\cdot3 = 3\) and \(z=3\), so the only critical point of \(s\) is at (3, 3, 3).

Differentiate \(h\) again and check the sign of the second derivative at the critical point.

\(\dfrac{d^2h}{dx^2} = -6 < 0\)

for all \(x\), which indicates a maximum.

We find that

\(\max\left\{xy+yz+xz \mid x+y+z=9\right\} = \boxed{27} \text{ at } (x,y,z) = (3,3,3)\)

The second derivative at the critical point exists

\($\frac{d^{2} h}{d x^{2}}=-6 < 0\) for all x, which suggests a maximum.

Given, the constraint, we have

x + y + z = 9

⇒ z = 9 - x - y

Let s depend only on x, y.

s = g(x, y)

= xy + y(9 - x - y) + x(9 - x - y)

= 9y - y² + 9x - x² - xy

To estimate the critical points of g.

\($&\frac{\partial g}{\partial x}\) = 9 - 2x - y = 0

\($&\frac{\partial g}{\partial y}\) = 9 - 2y - x = 0

Utilizing the given constraint again,

x + y + z = 2x + y

⇒ x = z

x = 9 - x - y  

⇒ y = 9 - 2x, and s depends only on x.

s = h(x) = 9(9 - 2x) - (9 - 2x)² + 9x - x² - x(9 - 2x) = 18x - 3x²

To estimate the critical points of h.

\($\frac{d h}{d x}=18-6 x=0\)

⇒ x = 3

It pursues that y = 9 - 2 \(*\) 3 = 3 and z = 3, so the only critical point of s exists at (3, 3, 3).

Differentiate h again and review the sign of the second derivative at the critical point.

\($\frac{d^{2} h}{d x^{2}}=-6 < 0\)

for all x, which suggests a maximum.

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