Amelia calls people at random to conduct a survey. So far, 20 calls have been answered and 30 calls have not been answered. What is the approximate probability that someone answers the next call she makes?

A.
40%

B.
67%

C.
0.6

D.
2/3

Answer:

fraction

Step-by-step explanation:

If you have a negative exponent, such as [tex]x^{-2}[/tex], that can also be written as [tex]\frac{x^{-2} }{1}[/tex]

by moving the exponent (and it's base) to the denominator (the other side of the fraction, since it's in the numerator), you make the exponent positive: [tex]\frac{1}{x^{2} }[/tex]

Answer: 5

Step-by-step explanation:

each banana split is equal to 2 lbs. therefore, to gain 10 lbs. you need to eat 5 banana splits.

500cal = 1 lb.

1000cal = 1 banana split

1 banana split = 2lbs.

to gain 10lbs, divide 10lbs by 2lbs = 5 banana splits

Answer:

Step-by-step explanation:

Remark

The diagram is a mess of lines; you have to guess where that 12 belongs. Just to make the question a bit more interesting, I'm going to say the 12 belongs to the perpendicular.

If that's true you can find KT using Pythagorus. KT and RT are equal. (SSS)

So, let's go.

Givens

1/2 of ST = 1/2 32 = 16

12 is the leg of the small triangle KT and the third point where the perpenduclar line meets ST.

Solution

KT^2 = 16^2 + 12^2

KT^2 = 256 + 144

KT^2 = 400

KT = sqrt(400)

KT = 20

RK = KT because parts of a congruent triangle = parts of the other triangle containing the line (KT) that you are trying to find the length of.

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

8.88=−2.22(x−7)

Step 1: Simplify both sides of the equation.

8.88=−2.22(x−7)

8.88=(−2.22)(x)+(−2.22)(−7)    (Distribute)

8.88=−2.22x+15.54

Step 2: Flip the equation.

−2.22x+15.54=8.88

Step 3: Subtract 15.54 from both sides.

−2.22x+15.54−15.54=8.88−15.54

−2.22x=−6.66

Step 4: Divide both sides by -2.22.

−2.22x /−2.22

=

−6.66 /−2.22

x=3

Answer:

Step-by-step explanation:

5wx+5yz=5wx+5xy

5wx-5wx+5yz=5xy

5yz=5xy

47z²−25

Step-by-step explanation:

3627272727822881818181

Answer:

130z-3

Step-by-step explanation:

Break down the equation:

(9[tex]z^{2}[/tex]-4)=

9z * 9z= 81z

You can't subtract 4, so I left it at (81z- 4)

(7[tex]z^{2}[/tex]+ 1)=

7z * 7z= 49z

You can't add 1, so I left it at (49z+ 1)

Then Solve:

You can add 81z and 49z.

81z+49z= 130z

-4+1= -3

Hope this helps!

Answer:

Step-by-step explanation:

If you mean:

3x+4-(x+8)^2, then

3x+4-(x^2+16x+64)

3x+4-x^2-16x-64

-x^2-13x-60

Answer:

-x^2-30x-60

Step-by-step explanation:

Answer:

F. 4 2/3 centimeters

Step-by-step explanation:

since the trapezoids are similar to each other, that means there is a common ratio between them. so taking into consideration the first trapezoid STUV when we compare that to NOPQ, OP comes out to be 4 and 2/3 centimeters. start by comparing the ratio of ST to NO and then move on to TU and then OP.

. Since the pentagon is a regular pentagon, the measure of each interior angle will be the same.

To find the size of each angle, divide the sum, 540º, by the number of angles in the pentagon.

(which is the same as the number of sides).

540° ÷ 5 = 108° There are 108° in each interior angle of a regular pentagon.

2. 540°

Sum of Interior Angles of a Polygon

A pentagon has five sides, thus the interior angles add up to 540°, and so on.

Answer:

150

Step-by-step explanation:

25:50 is the same 1:2 so if you multiply 2x3 you get so 6 same as 50x3 which is 150

Answer:

C. The estimate is too large

My bad, wasn't looking at it carefully. The angle seems to be close to 90° than 180°.

Answer:

i believe the answer would be B

Step-by-step explanation:

Answer:

Step-by-step explanation:

28% of 85 is:

28/100 x 85 = 2380/100 = 238/10 = 119/5 = 23 4/5

Answer:

23.8

Step-by-step explanation:

28% times 85= 23.8

Answer:

C) 405.3 ft

Step-by-step explanation:

A triangle is a polygon with three angles and three sides. Types of triangle are scalene, isosceles, equilateral, right angled triangle.

Given a triangle with angles A, B, C and the corresponding sides directly opposite to the angles as a, b, c. The sine rule states that:

[tex]\frac{a}{sin(A)}= \frac{b}{sin(B)} =\frac{c}{sin(C)}[/tex]

In the triangle formed by point C, ship B and ship A, we have ∠A = 82°, ∠B = 78°, c = AB = 140 ft. Hence:

∠A + ∠B + ∠C = 180° (sum of angles in a triangle)

82 + 78 + ∠C = 180

∠C + 160 = 180

∠C = 20°

Using sine rule:

[tex]\frac{c}{sin(C)}=\frac{a}{sin(A)}\\\\\frac{140}{sin(20)}=\frac{a}{sin(82)}\\\\a= \frac{140*sin (82)}{sin(20)}\\\\a=405.3\ ft[/tex]

a =  distance from Ship B to the signal fire at point C

Answer:

c

Step-by-step explanation:

Answer:21

Step-by-step explanation:

21

Answer:

y = 4

Step-by-step explanation:

The maximum value occurs at the vertex

vertex = (2, 4 )

when x = 2 the maximum value is y = 4

Answer:

3

Step-by-step explanation:

There are 3 outliers. 13, 82, 83. These outliers are marginally off by the rest of the set.

There is one outlier in the data. The value of outlier is 13.

An outlier is an observation that lies an abnormal distance from other values in a random sample from a population. It is a value that "lies outside" (is much smaller or larger than) most of the other values in a set of data. The outliers can be found from median and quartile range.

For the given situation,

The heights of trees(in inches) are 13, 82, 83, 95, 92, 98, 96.

Arrange them in ascending order,

⇒ [tex]13, 82, 83, 92, 95, 96, 98[/tex]

Here, median = 95

So, first quartile Q₁ = 82

third quartile, Q₃ = 96

Interquartile range, IQR = Q₃ - Q₁

⇒ [tex]96-82[/tex]

⇒ [tex]14[/tex]

Now, [tex]IQR(1.5)=14(1.5)[/tex]

⇒ [tex]21[/tex]

Then, high value = Q₃+1.5 IQR

⇒ [tex]96+21[/tex]

⇒ [tex]117[/tex]

Low value = Q₁-1.5 IQR

⇒ [tex]82-21[/tex]

⇒ [tex]61[/tex]

From the data, the value of outlier should lie less than 61 and greater than 117.

Hence we can conclude that there is one outlier in the data. The value of outlier is 13.

Learn more about outliers here

https://brainly.com/question/3253658

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Answer:

First, we need to find the slope of this line.

Slope is defined as rise over run, or change in y over change in x. We find two  points on this line, and see that the slope is -4.

Then, we find the y-intercept, which in this case is 0.

Using slope intercept form, our answer is y=-4x

Let me know if this helps!

Answer:

y=-4x

Step-by-step explanation:

so the line goes down 4 evey 1 right so the slope is -4 and it goes through the y axis at 0 so the y intercoept is 0

ita 3 fiths x plus three eigths

Answer:

y= 2x -2

Step-by-step explanation:

Answer:

20.25 per cup because 81÷4= 20.25 then

1) read the label=81 per 4-cups

2) 20.25x4=82 calories

Step-by-step explanation:

hope this helps :D

Answer:

The correct answer is B.2 plz mark as brainliest.

Step-by-step explanation:

Answer:  Parker can use 1.7 gigabytes to stay within his budget.

Step-by-step explanation:

If Parker pays a  flat cost of $36.50 and has to pay $5 a month then we can represent it by the  36.50 + 5gg  where gg is the number of gigabytes.

If  he has to keep his bill under $45 , then 36.50 + 5gg has to be less than 45.

36.50 + 5gg < 45.   Now solve for gg

-36.50             36.50

   5gg < 8.5

  gg< 1.7

Answer:

1/3 is your awnser also what ur name in prodigy ill play with u im level 100

Step-by-step explanation:

Answer:

[tex] \frac{2}{5} + \: x = \frac{11}{15} [/tex]

5.3=15

2.3=6

[tex] \frac{6}{15} + \frac{5}{15} [/tex]

Answer:

d

Step-by-step explanation:

It is going at a steady rate of 30$ an hour

Total charges of the plumber depending on the number of hours he works is defined by the linear function T = 75 + 30h.

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable.

Learn more about linear function here

https://brainly.com/question/21107621

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Answer:

9cm

Step-by-step explanation:

Opposite sides of a parallelogram are parallel (congruent). This shows that

PQ = RS

2x+5 = 4x+1

2x-4x = 1-5

-2x = -4

x = -4/-2

x = 2

Get PQ

PQ = 2x+5

PQ = 2(2)+5

PQ = 4+5

PQ = 9cm

Answer:

9cm

Step-by-step explanation:

I just took the review and I got a 100%

Answer:

21 ounces

Step-by-step explanation:

Answer:

15 ounces

Step-by-step explanation:

we know that the whole is 30  we know that Alex 1/10 and glen has 2/5 we dont know wht left over :: 1/10 + 2/5 = 1/10 + : 4/10 = 5/10 so 1 - 5/10 = 5/10

We need to find how many ounces of clay are left. Which equation can we use to find how many ounces are in 5/10

of the whole bucket?    5/10 x 30  and 5x 30 10

15 onces

Answer:

u=66(oppodite angles of parallrlogram are equal)

66+3v=180( cointerior angle)

3v=114

V=38

Step-by-step explanation:

plz mske me brainliest

Answer: 89 or 90 degrees.

Step-by-step explanation: