9
105°
C
Α΄
B
6
Calculate the measure of ZC in ABCA to the nearest tenth of a degree.

60 percent of the players scored more than 10 points if three of the five basketball players scored more than 10 points.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

Three of the five basketball players scored more than 10 points.

Total number of basketball players = 5

The number of players who scored more than 10 points = 3

In fraction:

= 3/5

= 0.6

To convert the above fraction into the percentage multiply it by 100:

= 0.6x100

The percent of the players scored more than 10 points = 60%

Thus, 60 percent of the players scored more than 10 points if three of the five basketball players scored more than 10 points.

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Ax^2 +Bx + C

x^2 +11x +24

Using the number in place of C gives us what values could be inside the brackets.

For 24 the multiples are

1 and 24

2 and 12

3 and 8

4 and 6

We want the one that can add or subtract to give the number in place of B, which is 11.

The only multiples that add to 11 are 3 and 8

Therefore we know that 8 and 3 need to be in the brackets.

Giving us (x+8)(x+3)

There are total 18 markers in the box.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. The formula to calculate the probability of occurrence of an event 'A' can be written as -  

P(A) = n(A)/n(S)

where -

n(A) = Number of outcomes favorable to event A.

n(S) = Total number of outcomes

Given is that there are 3 black markers in a bin. The probability that a marker selected at random is black is -

P(black marker) = 1/6

Assume that there are [x] markers in the box. Then, we can write -

P(black marker) = 3/x

1/6 = 3/x

x = 18

Therefore, there are total 18 markers in the box.

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Answer:

The correct answer would be 100.

Step-by-step explanation:

542.9 divided by 5.429, would be 100.

Therefore, the correct answer is 100.

Answer:

100

Step-by-step explanation:

[tex]\frac{542.9}{5.429}[/tex] = 100

Check

[tex]\frac{542.9}{100}[/tex] =

The Perimeter of equilateral triangle with side length 6 mi is given by 18 meter.

Given the equation is, P = 3s

where P is the perimeter of equilateral triangle with side length of s.

Now given that the side length of triangle is 6 mi.

So, s = 6 mi

Thus, the perimeter of such triangle is, P = 3*6 = 18 mi.

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Answer:

[tex]5x {}^{2} - 5y { = }0 [/tex]

A circular arc has measure and is intercepted by a central angle of radians.

The radius (r) of circle is 1.91 m

Here given data :

• circular arc (s)  = 5 cm

• Angel  (A)  = 5π/6

We know that the following formula is,

        Length arc  = radius  × angel  

      =>   Radius (r) =  Length / angel

      =>   Radius (r) =  5 m / (5π /6)

        =>   Radius (r) = ( 5 × 6 / 5π ) m

        =>  Radius  (r) =   6/π m

        =>  Radius  (r) =   1.91 m

Therefore, radius of the circle is 1.91 m.

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The sample size 350 should be taken to provide a 95% confidence interval with a margin of error of 0.05.

According to the statement

We have to find that the sample should be taken to provide a confidence interval with a margin of error.

For this purpose, we know that the

The  confidence interval is the probability that a population parameter will fall between a set of values for a certain proportion of times.

And

With the given information

In the survey as

p* = 0.35

confidence interval=95%

E=margin of error = 0.05

and then

[tex]a=(\frac{z}{E} )^{2} *pq[/tex]

and substitute the values

[tex]a=(\frac{1.96}{0.05} )^{2} *0.35*0.65[/tex]

then the sample is 350.

So, The sample size 350 should be taken to provide a 95% confidence interval with a margin of error of 0.05.

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Answer:

the answer is 3,6 6,0 2,3 4,2 that is the answer :)

Step-by-step explanation:

becuase that is the answer

The equation of the parabola is x = -1/16([tex]y^{2}[/tex]+6y-7).

According to the question,

We have the following information:

A parabola can be drawn given a focus of (−3,−3) and a directrix of x=5.

Now, let's take (x,y) to be the points of parabola.

So, we have the following expression:

Distance between (-3,-3) and (x,y) = Distance between (x,y) and x = 5

Distance between (x,y) and x = 5 will be Ix-5I

Now, we will use distance formula to solve this expression further.

[tex]\sqrt{(y+3)^{2}+ (x+3)^{2} }= (x-5)} }[/tex]

Squaring on both sides of the equation:

[tex]{(y+3)^{2}+ (x+3)^{2} }= (x-5)^2} }[/tex]

[tex]y^{2}[/tex]+9+6y+[tex]x^{2}[/tex]+9+6x = [tex]x^{2}[/tex]+25-10x

[tex]y^{2}[/tex]+6y+6x+18-25+10x = 0

[tex]y^{2}[/tex]+6y+16x-7 = 0

16x = [tex]-(y^{2}[/tex]+6y-7)

x = -1/16([tex]y^{2}[/tex]+6y-7)

Hence, the equation of the parabola is x = -1/16([tex]y^{2}[/tex]+6y-7).

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Answer:2x

Step-by-step explanation:

The value of the expression are as follows

An algebraic expression consists of unknown variables, numbers and arithmetic operators.  It does not contain any equality or inequality symbols.

Let's solve the expression by substituting the actual values of the variables.

a.

5x when x = 6

5x = 5(6) = 30

b.

3y when y = -7

3y = 3(-7) = -21

c.

10z when z = 0.8

10z = 10(0.8) = 8

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The distance between the complex plane's origin (0, 0) and the point (a, b) is what is known as the absolute value of a complex number, a+bi (also known as the modulus).

Without taking into account direction, absolute value defines how far a number is from zero on the number line. A number's absolute value can never be negative. Look at some illustrations. 5 is the sum of its absolute values. There are 5 units between 5 and 0. A number's absolute value is determined by how far it is from zero on the number line. For instance, the absolute value of -7 would be 7, as it is 7 units away from zero. Additionally, since 0 is 7 units distant, the value of 7 would likewise be 7.

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Answer:

b and c

Step-by-step explanation:

Like terms are numbers that have the same variable and/or exponent. You can combine them to simplify equations.

3x+2x+3y-7y=5x-4y

3x and 2x are like terms because they share a variable of x. You can add them which gives you 5x. 3y and -7y are also like terms so they can be combined to make -4y.

2x+1+7x=9x+1

2x and 7x are like terms so they can be added for a sum of 9x.

The density of the metal will be 2700 kilograms per cubic meter.

The quantity of molecules in a given volume is referred to as density. Kg/m2 is the unit of measurement for density. density is a scalar quantity. Higher densities result in more molecules being present in a given volume. After that, the density is given as,

Volume / Mass equals density.

A chunk of metal weighs 9.45 grams. 3.5 cubic centimeters of volume.

The density of the aluminum is then specified as,

D = 9.45 / 3.5

In grams per cubic centimeter, D = 2.7.

2700 kilograms per cubic meter is the same as D.

The density of the aluminum will be 2700 kilograms per cubic meter.

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Answer: Sir would you like me to give you an example to this or answers??

Step-by-step explanation:...

Answer:

$1,480.24

Step-by-step explanation:

An investment of $1,000 made today will be worth $1,480.24 in five years at interest rate of 8% compounded semi-annually.

The segment addition postulate states that if we are given two points on a line segment, A and C, a third point B lies on the line segment AC if and only if the distances between the points meet the requirements of the equation AB + BC = AC. See Diagram 1 to gain a clearer understanding of this postulate definition.

Remember that a line segment is part of a line bound by two clear end points. It is comprised of a bunch of points between those two end points.

An easier way of stating the segment addition postulate is that if point B lies on line segment AC, then AB + BC will equal AC. That seems pretty simple, does it not?

Tom saved 14.55% money in this sale.

Given that the sale price of 3 T shirts is $14.50.

And Tom saved in this sale $2.47.

So original selling price of that 3 T shirts is = 14.50+2.47 = 16.97

So the percentage of savings = (2.47/16.97)*100% = 14.55% (approximately)

Hence he saved approximately 14.55% in this sale.

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By using the concept of slope, it is obtained that

Slope of the required trend line is [tex]\frac{22}{9}[/tex]

What is slope of a line?

Slope of the line is the tangent of the angle that the line makes with the positive direction of x axis

If the angle is [tex]\theta[/tex], the slope of the line is given by

[tex]m = tan\theta[/tex]

If the line passes through ([tex]x_1, y_1[/tex]) and ([tex]x_2, y_2[/tex]), then the slope of the line is given by

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

The line passes through (1, 3) and (10, 25)

[tex]x_1 = 1, y_1 = 3, x_2 = 10, y_2 = 25[/tex]

Slope = [tex]\frac{y_2 - y_1}{x_2 - x_1}\\[/tex]

         =  [tex]\frac{25 - 3}{10 - 1}[/tex]

         = [tex]\frac{22}{9}[/tex]

Slope of the required trend line is [tex]\frac{22}{9}[/tex]

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The cost of each bottle of orange juice is 0.78 dollars.

Xavier buys 18 bottles of orange juice at the corner store for a total cost of $14.04. Each bottle costs the same amount.

Therefore, the cost of each bottle of orange juice can be found as follows:

cost of each bottle of orange juice = total cost of the whole orange juice / number of orange juice bought

cost of each bottle of orange juice = 14.04 / 18

Therefore,

cost of each bottle of orange juice = $ 0.78

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Answer:

Step-by-step explanation:

We will find the 41st term of the given arithmetic sequence is equal to 88.

Answer:  The correct answer is A) Mrs. Reynolds y = 1/2x + 1/2

Step-by-step explanation:

In the slope-intercept form of y=mx+b, m=the slope of the line

Therefore, y=1/2x + 1/2 has a slope of 1/2

As noted in the graph below, it is the only option listed that also intersects the point (5,3).

Step-by-step explanation:

perimeter:

74 + 74 + 48 = 196 yd

area:

48/2=24

√74^2+√24^2 = 77.79 (2dp)

77.79 x 48 = 3734.14

3734.14/2=1867.07yd^2

For the value of L = 144.48, the probability of having L greater than the mean glucose level of Shelia is 0.02.

Here it is given that Sheila's glucose level follows a normal distribution with a mean of 128 mg/dl and a standard deviation of 8 mg/dl

L is the patient's blood test level.

It is given that the probability that the mean glucose level i.e 128 mg/dl is above L is 0.02.

We need to find L

We know

P(128>L) = 0.02

or, 1 - P(128 ≤ L) = 0.02

or, P(128 ≤ L) = 0.98

We know that for any Normal distribution we find the probability by converting it to standard form and then checking the p-value.

P(X < x) = Φ[(x - μ)/σ]

where,

μ = mean

σ = standard deviation

Therefore,

Φ[(L - 128)/8] = 0.98

we see that for a Z score of 2.06,

Therefore we get

(L - 128)/8 = 2.06

or, L - 128 = 16.48

or, L = 128 + 16.48

= 144.48

Therefore, the value of L would be 144.48

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Complete Question

Shelia's doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels during pregnancy). There is variation both in the actual glucose level and in the blood test that measures the level. A patient is classified as having gestational diabetes if the glucose level is above 140 milligrams per deciliter one hour after a sugary drink is ingested. Shelia's measured glucose level one hour after ingesting the sugary drink varies according to the Normal distribution with a mean of 128 mg/dl and a standard deviation of 8 mg/dl. Let L denote a patient's glucose level.

If measurements are made on four different days, find level L such that there is a probability of only 0.02 that the mean glucose level of four test results falls above L for Shelia's glucose level distribution. What is the value of L?

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The probability that she has to pick 5 batteries in order to find one that works is 5/12.

What is probability?

Probability shows the likelihood of an event happening.  it can be calculated by dividing the number of outcomes of an event by the total number of possible outcomes or sample space. Probability is equal to '1' when the event is certain to occur. i.e P =1. It is less than '1' when it is not likely to occur. i.e P< 1

Probability P=no. outcomes/total no. of the possible outcomes

From the question;

No of out comes=5

No. of total possible outcome=12

Therefore probability P= 5/12

                                   P=5/12

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x⁴⁸ = x/2

Multiply to remove the fraction, then set equal to

0

and solve.

Exact Form:

x

=

0

,

1

47

√

2

Decimal Form:

0,0.98536040

Answer:

if i have 19

Step-by-step explanation:

Answer:

(0, -2)

Step-by-step explanation:

What is the y-intercept of the line 6x – 9y = 18?

(0, -2)

(0, 3)

(3, 0)

(-2, 0)

You need to solve for y:

6x – 9y = 18

6x – 9y  - 6x = 18 - 6x

– 9y = 18 - 6x

– 9y/-9 = 18/-9 - 6x/-9

y = - 2 + 2/3x

or:

y = 2/3x - 2

y-intercept is: (0 , -2)

Answer:

(0, - 2 )

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 )

given

6x - 9y = 18 ( subtract 6 from both sides )

- 9y = - 6x + 18 ( divide through by - 9 )

y = [tex]\frac{2}{3}[/tex] x - 2 ← in slope- intercept form

with y- intercept c = - 2 , that is (0, - 2 ) in coordinate form

Rewriting the expression with bracket and parentheses in numerical expression is: [(3^2 + 7) * 4] + 5.

In numerical expression, the brackets and parentheses are mathematical symbols that are used in pairing the group things together or specify the order of operations. These are used in creating or solving equations, helping in grouping numbers and defining the order of operations.  Parentheses are curved ( ), brackets are square [ ], and braces are curly { }. In indicating the order of operations, the innermost parentheses are calculated first, followed by the brackets (which form the next layer), followed by braces (which form a third layer outwards).

The given expression written with parentheses and brackets to be equivalent to 69 is:

[(3^2 + 7) * 4] + 5

[(9 + 7) * 4] + 5

[16 * 4] + 5

64 + 5

69

Note: The question is incomplete: The complete question is A printing error in a math book removed the brackets and parentheses from a numerical expression. Rewrite the expression 32 + 7 x 4 + 5 with parentheses so that it is equivalent to 69.

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