analyze the diagram below and answer the question that follows.

Answer:

State A was the 12th state to enter the Union. State B was the 11th state to enter the Union.

Step-by-step explanation:

Let's call x to the order-of-entry of State B, therefore the order-of-entry of State A is x+1. Given that he product of their order-of-entry numbers is 132:

x*(x+1) = 132

x² + x - 132 = 0

Using quadratic formula:

[tex]x = \frac{-b \pm \sqrt{b^2 -4(a)(c)}}{2(a)} [/tex]

[tex]x = \frac{-1 \pm \sqrt{1^2 -4(1)(-132)}}{2(1)} [/tex]

[tex]x = \frac{-1 \pm 23}{2} [/tex]

[tex]x_1 = \frac{-1 + 23}{2} [/tex]

[tex]x_1 = 11 [/tex]

[tex]x_2 = \frac{-1 - 23}{2} [/tex]

[tex]x_2 = -12[/tex]

The negative solution has no sense in the context of our problem, then the solution is x = 11.

Answer:

c

Step-by-step explanation:

In the given line the relationship between angle w and z is Measure of angle w + measure of angle z = 180 degrees.

This is the type of angle that when measured, two of the angles would sum up to 180 degrees.

The supplementary angle is the sum of angle w + angle z = 180 degrees. Hence c is correct.

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Answer:

hi

Step-by-step explanation:

Answer:

John's initial investment is Rs.150000

Step-by-step explanation:

Let the principal amount be a

We are given that John wants to invest in a simple interest savings account .The interest rate on this account is 0.7%.

Now to find simple interest in x years

Formula : [tex]Si = P \times T \times R[/tex]

Where P = Principal

T= time

R = rate of interest in decimals

So,[tex]SI=a \times 0.007 \times x[/tex]

Amount = Principal+Interest

Amount = [tex]a+a(0.007)x[/tex]

We are given that The account balance y can be modeled by the following linear equation y=150,000+150,000(0.007)x

So, On comparing a = 150000

Hence John's initial investment is Rs.150000

Answer:

3b + 3c

Step-by-step explanation:

hope this helps you

Answer:

3(c+b)

Step-by-step explanation:

3(b+c) is essentially 3 times B+ 3 times c

and 3(c+b) is 3 times c + 3 times B

Answer:

[tex](1-cos^2 x ).(1+tan^2 x) = tan^2x[/tex]

Step-by-step explanation:

Given

[tex](1-cos^2 x ).(1+tan^2 x)[/tex]

Required

Solve

[tex](1-cos^2 x ).(1+tan^2 x)[/tex]

In trigonometry;

[tex]1 - cos^2x = sin^2x[/tex]

So, make substitution

[tex](1-cos^2 x ).(1+tan^2 x)[/tex] becomes

[tex](1-cos^2 x ).(1+tan^2 x) = (sin^2 x ).(1+tan^2 x)[/tex]

Also; in trigonometry:

[tex]1 + tan^2x = sec^2x[/tex]

Make another substitution

[tex](1-cos^2 x ).(1+tan^2 x) = (sin^2 x ).(sec^2 x)[/tex]

Recall that [tex]secx = \frac{1}{cosx}[/tex]

So;

[tex](1-cos^2 x ).(1+tan^2 x) = (sin^2 x ).(sec^2 x)[/tex] becomes

[tex](1-cos^2 x ).(1+tan^2 x) = (sin^2 x ).(\frac{1}{cos^2 x})[/tex]

[tex](1-cos^2 x ).(1+tan^2 x) = \frac{sin^2 x }{cos^2 x}[/tex]

[tex](1-cos^2 x ).(1+tan^2 x) = (\frac{sin x }{cosx})^2[/tex]

In trigonometry;

[tex]tan x = \frac{sin x}{cos x}[/tex]

[tex](1-cos^2 x ).(1+tan^2 x) = tan^2x[/tex]

The expression cannot be further simplified

Answer:

<b = 23°

Step-by-step explanation:

<a and <b are complementary so they add up to 90

<a + <b = 90

Where <a = 67

67 + <b = 90

<b = 90 - 67

<b = 23°

Answer:

∠b=23°

Step-by-step explanation:

∠a+∠b=90°

67°+∠b=90°

Subtract 67° from both sides

∠b=23°

Answer:

1.08

Step-by-step explanation:

1.01 < x < 1.17

x ≠ 1.20

x ≠ 1.008

x = 1.08

x ≠ 1.18

x ≠ 1.8

The number that completes the inequality is 1.08:

1.01 < 1.08 < 1.17, < 1.20

Option C is the correct answer.

We have,

To determine which number completes the inequality, we need to find the number that is greater than 1.01 but less than both 1.17 and 1.20.

Among the given options, the number that satisfies this condition is 1.08.

Thus,

The number that completes the inequality is 1.08:

1.01 < 1.08 < 1.17, < 1.20

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Answer:

C

Step-by-step explanation:

male musicians practice an avg 2/hrs a day

The inferences can be made from the data on average, male musicians practice for two hours per day. Then the correct option is C.

A diagram is made up of rectangles whose size is related to a variable's frequency and whose width is comparable to the training sample.

A social scientist surveyed a random sample of male musicians at a university about their practice habits.

The graph below displays the amount of time typically spent practicing their instrument daily.

From the graph, we can conclude that on average, male musicians practice for two hours per day.

Then the correct option is C.

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Answer:

Option B is the correct answer.

Step-by-step explanation:

B= {- 5, - 4.5, - 3}

Answer:

The y-intercept would be 6.25

Step-by-step explanation:

I found this by taking the two points and making it into a y = mx + b line.

Answer:

(0,3)

Step-by-step explanation:

We can use the slope-intercept form to find the y-intercept.

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

We are given the points (-1,7) and (1,-1).

[tex]m=\frac{rise}{run}=\frac{-1-7}{1+1}=\frac{-8}{2}=-4[/tex]

The slope is -4.

Slope-intercept is [tex]y=mx+b[/tex].

We can replace 'y' and 'x' with one of the points given, 'm' with the slope, and solve for 'b'. "B" would be the y-intercept.

I will use (-1,7):

[tex]7=-4(-1)+b\\\\7=4+b\\\\7-4=4-4+b\\\\\boxed{3=b}[/tex]

The line's equation is [tex]y=-4x+3[/tex].

Therefore, the y-intercept is '3'. The coordinates of the y-intercept is (0,3).  

Yes they are independent because P(California) = 0.55 approximately and P(California | Brand B) = 0.55 approximately as well

===================================================

Explanation:

P(California) is notation that means "probability the person is from California". There are 150 people from California out of 275 total. Therefore, the probability is 150/275 = 0.5454 approximately which rounds to 0.55

Now if I told you "this person prefers brand B", then you would focus your attention solely on the brand B column. The other columns are ignored because you know they don't prefer anything else. With this narrower view, we see that 54 Californians prefer this brand out of 99 total. The probability becomes 54/99 = 0.5454 which rounds to 0.55. We get the same as before.

The notation P(California | Brand B) means "the probability they are from California given they prefer brand B". The vertical line is not the uppercase letter i or lowercase letter L. It is simply a vertical line. In probability notation that vertical line means "given".

We've shown that P(California | Brand B) = 0.55 approximately. The fact that they prefer brand B does not change the original probability. So the two events are independent. If liking brand B did change the probability, then the events would be dependent.

Answer:

Step-by-step explanation:

5x3= 15

8x9=72

12x11=132

14x17=138

9x17=153

15+72+132+138+153=510

510/50=10.2= mean

Answer:

Option B

Step-by-step explanation:

The absolute value of a number is how far a number is from zero. We can use ' | | ' to represent the absolute volume of a number.  The distance, or absolute value, of -8 is 8.

We can represent this by writing:

|-8| = 8

Option B should be the correct answer.

Answer:

B

Step-by-step explanation:

The absolute value of a number means the distance from 0.

For example, |-2| is 2 units from 0.

|-8| = 8

-8 is 8 units from 0.

Answer:

C) None of the above

Step-by-step explanation:

Reason is V is a shorter distance and q is longer they need to be subtraction but the other way round to enable the correct subtraction we can show (q-V) which means the longer distance minus the shorter distance.

Answer: 40.9

Step-by-step explanation:

Answer:

[tex]\overline{PM}\cong\overline{ON}[/tex]: Reason; Corresponding parts of congruent triangles ΔOMN and ΔOMP are congruent (CPCTC)

Step-by-step explanation:

1) MNOP is a parallelogram: Reason; Given

2) [tex]\overline{PM}\left | \right |\overline{ON}[/tex]: Reason; Definition of a parallelogram

3) ∠MON ≅ ∠PMO: Reason; Alternate Int. ∠s Thm.

4) [tex]\overline{MN}\left | \right |\overline{PO}[/tex]: Reason; Definition of a parallelogram

5) ∠NMO ≅ ∠POM: Reason; Alternate Int. ∠s Thm.

6)  [tex]\overline{OM}\cong\overline{OM}[/tex]: Reason; Reflexive property

7) ΔOMN ≅ ΔOMP: Reason; Angle Angle Side (AAS) congruency theorem

8)  [tex]\overline{PM}\cong\overline{ON}[/tex]: Reason; Corresponding parts of congruent triangles are congruent (CPCTC).

Also we have;

9)  [tex]\overline{PM}\cong\overline{ON}[/tex]: Reason; Segment opposite congruent angles are congruent

Step-by-step explanation:

[tex]a) \\ (8 \times {10}^{ - 3} ) \times (2 \times {10}^{ - 4} ) \\ = 8 \times 2 \times {10}^{ - 3} \times {10}^{ - 4} \\ = 16 \times {10}^{ - 3 - 4} \\ = 16 \times {10}^{ - 7} \\ = 1.6 \times {10}^{ - 6} \\ \\ b) \\ (6 \times {10}^{ 2} ) \div (3\times {10}^{ - 5} ) \\ \\ = \frac{6 \times {10}^{ 2}}{3\times {10}^{ - 5}} \\ \\ = \frac{2\times {10}^{ 2}}{ {10}^{ - 5}} \\ \\ = 2 \times {10}^{ 2 + 5} \\ \\ = 2 \times {10}^{7} \\ [/tex]

Answer: 0.0013684

Step-by-step explanation:

Given the following :

Probability (p) = 49% = 0.49

Number of selected adults (n) = 30

Find the probability that exactly 23 use their smartphone.

The problem is abive can be solved using the binomial probability function.

Binomial probability :

P(X = x) = [n! / x! (n-x)!] * P^x * (1 - P)^(n-x)

At x = 23

P(X = 23) = [30! / 23! (30-23)!] * P^23 * (1-0.49)^(30-23)

P(X = 23) = [30! / 23! (7)!] * 0.49^23 * (0.51)^7

P(X =23) = (2035800) × 6.72203E−10

= 0.0013684

Answer:

c

Step-by-step explanation:

Khan academy

Answer:

1/16

Step-by-step explanation:

multiply by 1/2

1, 1/2, 1/4 , 1/8, 1/16

Answer:

1/16

Step-by-step explanation:

If you see the pattern it goes by x2 (the denominator)

1 , 1/2, 1/4, 1/8, 1/16

Answer:

None. (or B)

Step-by-step explanation:

A)  AC≅ZY

B) AZ≅

C) ∠A ≅ ∠C

D) ∠B ≅ ∠X

Options C and D are not true and Options A is wrong and B is incomplete but using process of elimination, the answer is probably B.

The resulting information will be ∠ A ≅ ∠ X, ∠ B ≅ ∠ Y and ∠ C ≅ ∠ Z and AB ≅ XY, BC ≅ YZ and AC ≅ XZ

A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.

Given that, Δ ABC has been translated right to create triangle Δ XYZ

We know that in translation transformation, in translation, only the position of the object changes, its size remains the same.

That means Δ ABC ≅ Δ XYZ Therefore, we get,

Congruent parts are;

Angles:-

∠ A ≅ ∠ X,

∠ B ≅ ∠ Y and

∠ C ≅ ∠ Z

Side:-

AB ≅ XY,

BC ≅ YZ and

AC ≅ XZ

Hence, The resulting information will be ∠ A ≅ ∠ X, ∠ B ≅ ∠ Y and ∠ C ≅ ∠ Z and AB ≅ XY, BC ≅ YZ and AC ≅ XZ

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Answer:

Step-by-step explanation:

Perimeter of the rectangle = 332m

Perimeter of a rectangle = 2(L+b)

Breadth = 75m

= 2 ( L + 75) = 332

2L + 150 = 332

2L = 332-150

L = 182/2

L= 91m

Answer:

3f(x)  

3x^2  

12  

-x+6

0

Step-by-step explanation:

Fashoo

Answer:

a is the answer

have a great day. brainliest please

Step-by-step explanation:

Answer:

the answer is A. :)

Step-by-step explanation:

the answer A. is 10 so just think what 2 times what will equal 10 so....2 x 5 = 10 and we got 10 so that is how we get our answer

Brainliest please thank you! and good luck!

Answer:

6.9 =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/hyp

sin 35 = x/12

12 sin 35 = x

6.882917236 = x

To the nearest tenth

6.9 =x

Answer:$140 for the train ride

$84 for the museum

Step-by-step explanation:

28×5

28×3

All the students + you = 28

If not, try 27×5 and 27×3

Answer:

Step-by-step explanation:

There are two values to find and add together.

o The admission cost for the Museum

o The admission cost for the Train Ride

Let's make some equations.

x=number of people

Museum: 3x=total cost for Museum (m)

Train Ride: 5x=total cost for Train Ride (t)

m+t= total money spent

Now, let's replace the values.

Museum: 3(27)=$81

Train Ride: 5(27)=$135

$81+$135=$216 for the Train Ride and visit to the Museum.

Hope this helps!

-Emma

Answer:

10 meters

Step-by-step explanation:because they are square and they would have to be 5 meters long and she dose not want any left over so...

Answer:

Integers -3, 9, 5, 56/7, -1

Step-by-step explanation:

Integers are whole numbers that can be positive or negative. They do not have decimals.