During a​ session, a senate had a total of 112 Democrats and Republicans. There were 4 fewer Democrats than Republicans. How many members of each party were​ there?

The Confidence interval is (0.85,1.05) which contain the sample proportion for 95%of samples size.

Confidence interval is an interval with a confidence level. Confidence interval is always constructed on basis of sample , p = sample statistic - margin of error to sample statistic + margin of error

Confidence interval for a proportion are calculated using the following formula:

p= ( p' - Z√p'(1-q')/n , p'+ Z √p'(1-p')/n ) ---(1)

where, p' ---> sample proportion for sucess

1-p' -----> sample proportion for failure

Z --> Z-value (statistic value)

n---> sample size

we have given that,

sample size ( n)=850 , sample proportion (p') = 0.95 and population proportion= 0.75

a) mean of sample of proportion is same as poplution proportion i.e 0.75 ..

1 -p' = q' = 0.05

Using the formula for margin of error ,

M .E = Z √ p'q'/n ---(2)

as the Z-value for given proportion is 13.46

putting all values in equation( 2) we get,

M.E = 13.45 √0.95×0.05/850 = 0.1005

Now, we shall calculate the confidence interval for given data

confidence interval (p)

= ( 0.95 - 0.100 , 0.95 + 0.100)

p= ( 0.85 , 1.05)

Hence,confidence interval(CI) is (0.85, 1.05).

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Complete Question:

75% of all credit card users carry a balance from month to month. a. If you randomly select 850 credit card users and will compute the sample proportion that carry a balance from month to month, what is the mean of the sample proportion? b. If you randomly select 850 credit card users, what interval will contain the sample proportion for 95% of samples of that size?

The slope of the line represented by the equation  2x - 5y = 9 is 2/5  .

In the question ,

it is given that ,

the equation of the line is  2x - 5y = 9  .

we know that the equation of the line is represented as y = mx + c ,

where slope of the equation is  "m" .

So , rewriting  2x - 5y = 9 in the form of y = mx + c ,

w get ,

2x - 5y = 9

5y = 2x - 9

dividing both sides of the equation 5y = 2x - 9 by 5 ,we get

y = 2/5x - 9/5

y = (2/5)x - 9/5

the slope is = 2/5 .

Therefore , The slope of the line represented by the equation  2x - 5y = 9 is 2/5  .

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The new height of painting by Jacob will be 2.5 inches.

The ratio and proportion will be used to relate the original and reduced dimensions of painting. The original width and height = 42.88/33.5. Let us assume the new height be x. So, new width and height = 3.2/x. Equating these two fractions -

42.88/33.5 = 3.2/x

Rewriting the equation according to x

x = (3.2 × 33.5) ÷ 42.88

Performing multiplication in numerator

x = 107.2 ÷ 42.88

Performing division on Right Hand Side of the equation

x = 2.5

Thus, the new height will be 2.5 inches.

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Answer:$84

Step-by-step explanation:

$84 dollars because 3.5 percent of 600 is 21 so if we do 21x4=$84 well atleast that't what i think

The values of the statements are x³, b ÷ 3, 3a, y-3, z+3.

What is an Expression?

An expression is a mathematical statement which consists of variables, constants and mathematical operators.

Hence the answer is, the statements are:

A variable cubed : x³

Quotient of some number and three:   b ÷ 3

Product of an unknown value and three : 3a

Three less than a variable : y-3

Three more than some number : z+3

Hence the answer is, the values of the statements are x³, b ÷ 3, 3a, y-3, z+3.

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Answer:You should have learnt this in kindergarten yet you're in high school, the answer is 86

the slope of the given point is m=9

The library is 5 kilometres far from the community pool.

According to the Pythagoras theorem, the square of the hypotenuse of a triangle, which has a straight angle of 90 degrees, equals the sum of the squares of the other two sides. Look at the triangle ABC, where BC² = AB² + AC² is present. The base is represented by AB, the altitude by AC, and the hypotenuse by BC in this equation.

The distance between the courthouse and the library is 12 kilometres and the distance between the courthouse and the city pool is 13 kilometres. Let the distance between the library and the community pool be x and it can be observed that the Courthouse, library and Community hall form a sort of right-angled triangle

So, using Pythagoras theorem, we get

[tex]13^2=x^2+12^2\\x^2=169-144\\x^2=25\\x=5 km[/tex]

So, the library is 5 kilometres far from the community pool.

Therefore, the distance between the library and the community pool is 5 kilometres.

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The slope of a line is m=−3

The slope of a line indicates its steepness. The slope is determined mathematically as "increase over run" (change in y divided by change in x).

Given that

the slope of 6x+2y=−32:

slope using the standard form:

slope m of a line of the form Ax+By=C equals –A/B

A=6, B=2

m=−6/2

simplify

m=−3

Therefore the slope of a line is m=−3

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Answer:

[tex]-\frac{5}{32}[/tex]

Step-by-step explanation:

[tex]\frac{1}{2(2)^4}-\frac{3}{4(2)^2} \\\frac{1}{32} - \frac{3}{16} = -\frac{5}{32}[/tex]

The value of all the missing angles is in the measure of m∠1 = 88°, m∠2 = 42°, and m∠3 = 113°.

We know that,

Sum of all angles of triangle = 180°.

Therefore, m∠3 + 42° + 25° = 180°.

m∠3 = 180° - 67°

m∠3 = 113°

Vertical angles: Vertical angles are the angles that are opposite to each other when two lines cross.

We know that,

Vertical or opposite angles have equal measures.

So, 42° and m∠2 are vertical or opposite angles.

Therefore, the value of m∠2 = 42°.

Similarly, for m∠3, We know that,

Sum of all angles of triangle = 180°.

∴ ∠1 + ∠2 + 50° = 180°.

=> ∠1 + 42° + 50° = 180°

=> m∠1 = 88°.

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Answer:

10 - x

Step-by-step explanation:

Since f(x) = 10 - 3, we can replace the "f(x)" in the equation with "10 - 3". Likewise, we can replace the "g(x)" in the equation with "-x + 3" because g(x) = -x + 3:

10 - 3 - x + 3

7 - x + 3

10 - x

Answer:

A

288 nickels

Step-by-step explanation:

There are now 435 nickels, after he put in 147. To find the answer, we need to find what the amount of nickels was before Shawn put in the 147. So, we need to subtract 147 from 435.

435 - 147 = 288

So, there were 288 nickels in the jar at the start.

Answer:

November 2nd

Step-by-step explanation:

Halloween = Oct. 31

3 days before Halloween (Oct. 31) is Oct. 28

7 days after that it is Nov. 4

2 days before is November 2nd

The total number of apples, oranges, and tangerines in the fruit basket is in the ratio 10 or 10x

In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.

A ratio compares two quantities by division, with the dividend or number being divided termed the antecedent and the divisor or number that is dividing termed the consequent.

We know that : the ratio of apples : oranges : tangerines = 3 : 2 : 5.

The total number of apples, oranges, and tangerines in the fruit basket is the total number of ratio, that is 3 + 2 + 5 = 10.

Because of the question is not contain information about the number of pieces, we can describe the dividend with x (or unknown value). So, the total number of apples, oranges, and tangerines in the fruit basket with ratio, that is 10 or 10x.

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The value of the variables in the figure is x = 60 degrees and y = 10 degrees.

From the figure:

x + 120 = 180 (since consecutive interior angles equal to 180)

x = 180 - 120

x = 60 degrees.

3y + 40 + 3x - 70 = 180(since supplementary angles = 180)

3y + 3x - 30 = 180

3(y + x) = 180 + 30

y + x = 210/3

y + x = 70

substitute x value

y + 60 = 70

y = 70 - 60

y = 10 degrees.

Therefore the value of the variables in the figure is x = 60 degrees and y = 10 degrees.

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Answer: Use your brain aka 12 and 7

Step-by-step explanation:isn't this urgent?

If the point D (8. -5) is reflected over the y-axis, the coordinates of D' would be: (-8, -5).

A reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.

In Geometry, a reflection over the y-axis (y = x) is given by this transformation rule (x, y) → (-x, y).

By applying a reflection over the y-axis to point D, the coordinates of the vertices of point D' include the following:

(x, y)                    →            (-x, y)

Point D = (8, -5)   →  Point D' = (-8, -5)

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Answer:

X=14

Side GF: 41 ft

Side FE: 58 ft

Side DE: 98 ft

Side DG: 28 ft

Step-by-step explanation:

(13+2x)+(4x+2)+(7x)+(X+14)

6x+15+8x+14

14x+29=225

     -29.  -29

     14x=196

      /14.  /14

        X=14

Fill in 14 for x for each side

13+2(14)

13+28

Side GF: 41 ft

4(14)+2

56+2

Side FE: 58 ft

7(14)

Side DE:98 ft

14+14

Side DG: 28 ft

Hopes this helps please mark brainliest

Answer: There were 18 oz. in the full bottle.

Step-by-step explanation:

If there are 6 oz. left, and Sasha drank 1/3 of half the bottle, then that means she drank 3 oz, since 6 is 2/3 of 9, which means that half of the bottle was 9 oz. 9 oz. is half of 18 oz, which means that there were 18 ounces in the full bottle.

Answer:

In explanation below.

Step-by-step explanation:

Presumably, the proof you have in mind is to use a=b=2–√a=b=2 if 2–√2√22 is rational, and otherwise use a=2–√2√a=22 and b=2–√b=2. The non-constructivity here is that, unless you know some deeper number theory than just irrationality of 2–√2, you won't know which of the two cases in the proof actually occurs, so you won't be able to give aa explicitly, say by writing a decimal approximation.

Answer:

  11

Step-by-step explanation:

You want the ratio of the populations of city C and city A, given city C is 2 times the 2,115,000 population of city B, and city A's population is 3.7×10⁵.

The ratio of interest is ...

  2B/A = 2(2115000)/(3.7×10⁵)

A calculator provides an easy answer to the value of this expression. (See attached.)

City C is about 11 times the population of City A.

__

Additional comment

If you want to work this out "by hand", you will need to find the quotient of ...

  4230000/370000 = 423/37 = 11 17/37 ≈ 11

because 17/37 < 1/2.

Answer:

a). 18x+30 - 18x+4=17

18x-18x 30+4 =17

34=17

[tex](a) \: { \pink{ \boxed{ \blue{ \sf{x = \frac{13}{30}}}}}}[/tex]

[tex](b) \: { \pink{ \boxed{ \blue{ \sf{x = -2}}}}}[/tex]

Step-by-step explanation:

[tex](a){ \red{ \sf{6x(3x + 5) - 2x(9x - 2) = 17}}}[/tex]

[tex]{ \red{ \sf{ { \cancel{18x}^{2} + 30x \: { \cancel { - 18x}^{2} + 4 = 17}}}}} [/tex]

[tex]{ \red{ \sf{30x + 4 = 17}}}[/tex]

[tex]{ \red{ \sf{30x = 17 - 4}}}[/tex]

[tex]{ \red{ \sf{30x = 13}}}[/tex]

Divide both the sides by 30 then,

[tex]{ \red{ \sf{ \cancel {\frac{30}{30}}}}}{ \red{ \sf{x} = \frac{13}{30}}} [/tex]

[tex]{ \red{ \boxed{ \green{ \sf{x = \frac{13}{30}}}}}} [/tex]

[tex](b) { \red{ \sf{2x(3x - 1) - 3x(2x + 11) - 70 = 0}}}[/tex]

[tex]{ \red{ \sf{ { \cancel{6x}^{2} - 2x}}}} \: \: { \red{ \sf{ \cancel { - 6x}^{2} - 33x - 70 = 0}}} [/tex]

[tex]{ \red{ \sf{ - 2x - 33x - 70 = 0}}}[/tex]

[tex]{ \red{ \sf{ - 35x - 70 = 0}}}[/tex]

[tex]{ \red{ \sf{ - 35x = 70}}}[/tex]

Divide both the sides by -35 then,

[tex]{ \red{ \sf{ \cancel {\frac{ - 35}{ - 35}}}x}}= { \red{ \sf{ { - \frac{ \cancel{70} ^{2} } { \cancel{35_{1} }}}}}}[/tex]

[tex]{ \red{ \boxed{ \green{ \sf{x = -2}}}}}[/tex]

Answer:

box a - 252 inches squared (6 x 7 x 6)

box b - 216 inches squared (3 x 8 x 9)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

y intercept is 500 so that is how much was in the tank when it started

And slope is -9 which is the steady decline in water

Hopes this helps

Answer: i'm writeing this so you can mark the other person brainliest

Step-by-step explanation:

The elevation of the hole after placing the bush in the hole is 17/8 feet

Given: Davis digs a hole at a rate of 3/4 feet every 10 minutes

After digging for 40 minutes, Davis places a bush in the hole that fills exactly 7/8 feet of the hole

This involves subtraction and multiplication of fractions

Since the rate of digging = 3/4 feet every 10 minutes

Thus, after digging for 40 minutes, the depth will be:

3/4 × 4 = 3 feet

If Davis places a bush in the hole that fills exactly 7/8 feet of the hole, the remaining depth or elevation will be:

3 feet - 7/8 feet = 17/8 feet

Therefore,  after placing the bush in the hole, the elevation of the hole is 17/8 feet

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The size that is the better one is 30.6-ounce package costs 7.98.

The 11.5-ounce package costs 3.19. The price per package will be:

= 3.19 / 11.5

= 0.27

A 30.6-ounce package costs 7.98. The cost per package will be:

= 7.98 / 30.6

= 0.26

In this case, it should be noted that the cheaper one.is the better buy. This was illustrated as the 30.6-ounce package costs 7.98.

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The amount that it will cost to paint the walls, given the cost per square foot and the dimensions of the rectangular walls is $828

First, find the area of the rectangular walls by the formula for the area of a rectangle which is:

= Length x Width

The area of the rectangles is therefore:

= 12 x 23

= 276 feet ²

The area of the two rectangular walls is:

= 276 + 276

= 552 feet ²

The cost to paint the walls is:

= Area of walls x cost per square feet to paint

= 552 x 1.50

= $828

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Answer: x=7°

Combine like terms and divide.

8x+5°+3x+8°=90°

(8x+3x)+(5°+8°)=90°

11x+13°=90°

-13°       -13°

11x=77°

[tex]\frac{11x}{11} =\frac{77}{11}[/tex]

x=7°

Answer:

about 958 dollars

Step-by-step explanation:

50,000÷52.1429 is about 958 dollars weekly