In the diagram AB=AD and

Answer:

The 99% confidence interval  is  [tex]0.3003 < I < 0.3997[/tex]

Step-by-step explanation:

From the question we are told that

     The sample size is  [tex]n = 500[/tex]

      The the number that are parents  x =  175

The  proportion of parents is  mathematically represented as

       [tex]\r p = \frac{x}{n}[/tex]

substituting values

      [tex]\r p = \frac{175}{500}[/tex]

     [tex]\r p = 0.35[/tex]

The  level of confidence is given as 99%  which implies that the level of significance is  

       [tex]\alpha = 100 - 99[/tex]

       [tex]\alpha =[/tex]1%

      [tex]\alpha = 0.01[/tex]

The critical value for this level of significance is obtained from the table of critical value as

          [tex]t_{x, \alpha } = t_{175, 0.05} = 2.33[/tex]

Generally the margin of error is mathematically evaluated as

       [tex]M =\frac{ t_{175, 0.01 } * \sqrt{\r p (1-\r p)} }{\sqrt{n} }[/tex]

substituting values

     [tex]M =\frac{ 2.33 * \sqrt{\r 0.35 (1-0.35)} }{\sqrt{500} }[/tex]

     [tex]M = 0.0497[/tex]

Generally the 99% confidence interval is mathematically represented as

        [tex]I = \r p \pm M[/tex]

    [tex]\r p -M < I < \r p + M[/tex]

substituting values

    [tex]0.35 -0.0497 < I < 0.35 + 0.0497[/tex]

    [tex]0.3003 < I < 0.3997[/tex]

Answer:

You need to use the AAS (angle angle side) congruency theorem

Step-by-step explanation:

youre welcome!!!

Answer:

The Angle-Angle-Side Postulate (AAS)

Step-by-step explanation:

It is given that angle 1 and 2 are equivalent so that is angle #1

It is given that angle 3 and 4 are also equivalent so that is angle #2

And finally, it is given that side TS and side TR are equivalent giving you that last side you need to prove the type of Postulate it is

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Have a good day! :)

Answer:

5/(1/3)

Step-by-step explanation:

She has 5 granola bars and gives 1/3 of one to each of her friends. To find how many friends she can give it to, divide 5 by 1/3. You would get a total of 15 friends that you can give granola bars to. The question is asking for an expression so the expression would be 5/(1/3) or 5*3

Answer:

1/3 x = 5

x=15

Step-by-step explanation:

You’re multiplying 1/3 times the number of friends (x), and then multiplying both sides by the reciprocal to solve for x

Answer:

47%

Step-by-step explanation:

we are required to find the probability to randomly select from the union of those who own a smartphone only and those who own a smartphone and computer.

an addition of the subsets cover the entire set.

6 + 15 + 26 + 32 + 21 = 100%

let

p(A)= probability of smartphone only

p(B) = probability of smartphone and computer

p(A U B) = P(A) + P(B)

= 15% + 32%

= 47%

Answer:

term to term rule is +2

The first term is -8

80th term is 150

Step-by-step explanation:

70 to 72 is adding 2

72 to 74 is adding 2

term to term rule is +2

The equation for a sequence like this is

xn = a + d(n−1)

where n is the term number  a is the first term and d is the term to term rule

Using the 40th term is 70

70 = a + 2( 40-1)

70 = a + 2( 39)

70 = a + 78

Subtract 78 from each side

-8 = a

The first term is -8

80th term

xn = a + d(n−1)

x80 = -8 +2 (80-1)

     = -8+2(79)

    = -8+158

   = 150

Answer:

6<y<∞

Step-by-step explanation:

Logarithmic curves can never go left to 0 and go on forever to the right.

x=6 would make the function 0, so 6 is the lower limit and infinity would be the upper limit.

Complete question is;

A researcher studying public opinion of proposed Social Security changes and asks a random sample of 30 adult Americans whether or not they support the proposed changes. To say that the distribution of the sample proportion of adults who respond​ yes, is approximately​ normal, how many adult Americans does the researcher need to sample in the following​ cases

(a) if 37​% of all adult Americans support the changes?

(b) 25% of all adults Americans support the changes?

Answer:

A) 13 adults

B) 23 adults

Step-by-step explanation:

A) We are given;

p = 37% = 0.37

Since we are told that this is an approximately normal distribution, we will use the formula;

np(1 - p) ≥ 10

Thus;

0.37n(1 - 0.37) ≥ 10

n ≥ 10/(0.63 × 0.37)

n ≥ 42.9

We need a whole number, thus n = 43

From the question, we have already 30 adults , so the required number of adults are; 43 - 30 = 13 adults

B) We are given;

p = 25% = 0.25

Since we are told that this is an approximately normal distribution, we will use the formula;

np(1 - p) ≥ 10

Thus;

0.25n(1 - 0.25) ≥ 10

n ≥ 10/(0.75 × 0.25)

n ≥ 53.33

n ≈ 53

From the question, we have already 30 adults , so the required number of adults are; 53 - 30 = 23 adults

Answer:

acute isosceles triangle

vertex angle, y =  44.0 degrees. (smallest angle)

Step-by-step explanation:

If the sides are in the ratio 4:4:3,

two of the sides have equal lengths, so it is an isosceles triangle.

Also, the sum of square of the two shorter sides is greater than the square of the longest side, so it is an acute triangle.

To find the smallest angle, we draw the perpendicular bisector of the base (side length 3) and form two right triangles.

The base angle x is given by the ratio

cos(x) = 1.5/4 = 3/8

Consequently the base angle is  arccos(3/8) = 68.0 degrees.

The vertex angle equals twice the complement of 68.0

vertex angle, y = 2 (90-68.0) = 44.0 degrees. (smallest angle)

Answer:

The answer is option A

Step-by-step explanation:

Equation of a line is y = mx + b

where

m is the slope

b is the y intercept

From the question

b / y intercept = 3

m / slope = 1

Substitute these values into the below equation

y = mx + b

We have the answer as

y = x + 3

Hope this helps you

Answer: A. Y= x+3

Step-by-step explanation: since the value of the slope is 1 it would go next to the x but x is also equal to 1x. And you add 3 since the y intercept is 3 and the format of the equation is y equals slope plus the y intercept hope this helps

Answer:

Please check if the answer is a = 4 or not

Answer:

a. 45/1024

b. 1/4

c. 15/128

d. 193/512

e. 9/256

Step-by-step explanation:

Here, each position can be either a 0 or a 1.

So, total number of strings possible = 2^10 = 1024

a) For strings that have exactly two 1's,

it means there must also be exactly eight 0's.

Thus, total number of such strings possible

10!/2!8!=45

Thus, probability is

45/1024

b) Here, we have fixed the 1st and the last positions, and eight positions are available.

Each of these 8 positions can take either a 0 or a 1.

Thus, total number of such strings possible

=2^8=256

Thus, probability is

256/1024 = 1/4

c) For sum of bits to be equal to seven, we must have exactly seven 1's in the string.

Also, it means there must also be exactly three 0's

Thus, total number of such strings possible

10!/7!3!=120

Thus, probability

120/1024 = 15/128

d) Following are the possibilities :

There are six 0's, four 1's :

So, number of strings

10!/6!4!=210

There are seven 0's, three 1's :

So, number of strings

10!/7!3!=120

There are eight 0's, two 1's :

So, number of strings

10!/8!2!=45

There are nine 0's, one 1's :

So, number of strings

10!/9!1!=10

There are ten 0's, zero 1's :

So, number of strings

10!/10!0!=1

Thus, total number of string possible

= 210 + 120 + 45 + 10 + 1

= 386

Thus, probability is

386/1024 = 193/512

e) Here, we have fixed the starting position, so 9 positions remain.

In these 9 positions, there must be exactly two 1's, which means there must also be exactly seven 0's.

Thus, total number of such strings possible

9!/2!7!=36

Thus, probability is

36/1024 = 9/256

Answer:

a= 7/20

b=35

Step-by-step explanation:

A was simple because 7 people with blue eyes for every 20 people written in fraction form. For b they say what if it was 100 total people so 20 x 5 = 100 so 7 x 5= 35 so your answer to b is 35

Answer:

2/6 which when simplified, is equal to 1/3

Answer:

1/3

Step-by-step explanation:

Answer:

When an obect has rotational symmetry, that means the object will look the same after a certain amount of rotating. When an object has reflection symmetry, it means the object mirrors itself at the midpoint.

Step-by-step explanation:

Answer:

Step-by-step explanation:

We are given the polynomial [tex]x^3+2^2-2x+3[/tex] and we are dividing by (x+3). So by performing one step of synthetic division we get

1 2 -2 3|-3

 -3 3 -3

1 -1 1   0

So the quotient in polynomial form is [tex]x^2-x+1[/tex]

Answer:

Step-by-step explanation:

The processing cost of split-off Orapine units is ...

  GH¢20,000/(5000 units) = GH¢4/unit

The increase in revenue from the further processing is ...

  GH¢25 -GH¢20 = GH¢5

The increased processing cost is less than the increased revenue, so there is additional profit from further processing 5000 units.

__

The processing cost of split-off Banango units is ...

  GH¢20,000/(10000 units) = GH¢2/unit

The increase in revenue from the further processing is ...

  GH¢16 -GH¢15 = GH¢1

The increased processing cost is more than the increased revenue, so the company takes a loss from further processing 10000 units. No additional processing of Banango units should be undertaken.

Answer:C

Step-by-step explanation:

Pemdas

3+5(10)

5*10=50

3+50=53

Answer:

  148°

Step-by-step explanation:

The measure of the intercepted arc QN is twice the measure of inscribed angle QNT.

  arc QN = 2(74°) = 148°

_____

Comment on the question and answer

Your description "on the circle between points Q and N" is ambiguous. You used the same description for both points P and R. The interpretation we used is shown in the attachment. If point P is on the long arc NQ, then the measure of arc QPN will be the difference between 148° and 360°, hence 212°. You need to choose the answer that matches the diagram you have.

__

We call angle QNT an "inscribed angle" because it is a degenerate case of an inscribed angle. The usual case has the vertex of the angle separate from the ends of the arc it intercepts. In the case of a tangent meeting a chord, the vertex is coincident with one of the ends of the intercepted arc. The relation between angle measure and arc measure remains the same: 1 : 2.

Answer:

148

Step-by-step explanation:

Edge 2020

Answer:

[tex]\large \boxed{\text{Eight days}}[/tex]

Step-by-step explanation:

1. Calculate the hours

[tex]\text{Hours} = \text{1800 flags} \times \dfrac{\text{1 h}}{\text{45 flags}} = \textbf{40 h}[/tex]

2. Calculate the days

[tex]\text{Days} = \text{40 h} \times \dfrac{\text{1 da}}{\text{5 h}} = \text{8 da}\\\\\text{It will take $\large \boxed{\textbf{eight days}}$ to make 4500 flags.}[/tex]

Answer:

the answer is 1.00

Step-by-step explanation:

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Answer:

the answer is C

Step-by-step explanation:

hope this helps

The probability that the selected fish will not have a red fin or a green tail is 0.30.

To find the probability.

probability is the ratio of the number of favorable outcomes and the total number of possible outcomes.

Given that:

G=fish has green tail

R=fish has red fin

G^R = fish has both a red fin and a green tail

P(G)=.54

P(R) = .18

P(G^R) = .02

P(GvR) = P(G) + P(R) - P(G^R) = .54 + .18 - .02 =

P(GvR) =.72 - .02 = .7

P(neither G nor R) = 1-.7 = .3 = 30%

So, the probability that the selected fish will not have a red fin or a green tail is 0.30.

Learn more about probability here:

https://brainly.com/question/17078963

#SPJ2

Trim = circumference

        = 2[tex]\pi r[/tex]

        = 2 x 3.14 x 6

        = 37.68 feet

Answer: 17,203 people

Step-by-step explanation:

The formula for solving this is;

[tex]P(t) = P_{0} (2)^{t/dt}[/tex]

Where;

P(t) is the population at time t

[tex]P_{0}[/tex] is the initial population

t is the year of interest

dt is the amount of time it takes to double.

[tex]P(t) = P_{0} (2)^{t/dt}[/tex]

[tex]P(2) = 16,237 (2)^{2/24}[/tex]

=  17,202.50

= 17,203 people

Answer:16.1%

Step-by-step explanation:

Answer:

The investment needs the rate of growth to be approximately 16.1%.

Step-by-step explanation:

Answer:

h^2 means h²

(h squared)

Step-by-step explanation:

Step 1: Write equation

144 + h² = 225

Step 2: Subtract 144 on both sides

h² = 81

Step 3: Take square root

√h² = √81

h = 9

Answer:

D)  ƒ(x) + 2 = x5 + 2

Step-by-step explanation:

You have the following function:

[tex]f(x)=x^5[/tex]           (1)

In the case of a vertical translation of the function on the coordinate system, you have that a translation of a units upward is obtained with the function f(x)+a. In the same way, a translation downward is obtined with f(x)-a.

Thus, a translation in the positive y direction of 2 units (a=2) is given by the following function.

D) ƒ(x) + 2 = x5 + 2

Answer:

The Total of employees

=216 employees

Step-by-step explanation:

Ratio of men to women is 7 to 5

Meaning

Men/women= 7/5

If their are 90 women

Let men= x

X/women= 7/5

X= women *7/5

X= 90*7/5

X= 18*7

X= 126

There are a total of 126 men

The Total of employees=men + women

The Total of employees=126+90

The Total of employees

=216 employees

Answer:

y=9x

Step-by-step explanation:

rise over run the rise is the y=9 and run is x=1.

9/1=9x

Answer:

45

Step-by-step explanation:

Let's call the missing side x

This is a right triangle and in right triangles the square length of hypotenuse is equal to sum of square length of base and side lengths

53^2 = 28^2 + x^2

x = 45