Which inequality represents the phrase “A number plus 5 is greater than 12?”

Using a calculator, the critical value for the t-distribution with a confidence level of 95% and 17 df is of Tc = 2.1098.

It is found using a calculator, with two inputs, which are given by:

In this problem, the inputs are given as follows:

Hence, using a calculator, the critical value for the t-distribution with a confidence level of 95% and 17 df, using the stated two-tailed test, is of Tc = 2.1098.

More can be learned about the t-distribution at brainly.com/question/27125917

#SPJ1

Answer:

A

Step-by-step explanation:

If you were to substitute 2 or -3 into equation A, the denominator would be zero and you would have to divide by zero. Thus there are asymptotes for this function at -3 and 2, matching the graph

Answer:

Step-by-step explanation:

Let the epicenter be E(x, y).

Use the distance formula for each given distance:

Use the first and third equations, considering both have same term for x, and solve for y:

Substitute y into one of equations and solve for x:

The epicenter is E( - 2, 3)

Answer:

(-2, 3)

Step-by-step explanation:

Given:

Model each given point as the center of a circle and the distance the epicenter is away from the point as the circle's radius.

The epicenter's location will be the point of intersection of the three circles.

Equation of a circle

[tex](x-a)^2+(y-b)^2=r^2[/tex]

where (a, b) is the center and r is the radius

Circle A

[tex]\implies (x+2)^2+(y-5)^2=4[/tex]

[tex]\implies x^2+4x+4+y^2-10y+25=4[/tex]

[tex]\implies x^2+4x+y^2-10y+25=0[/tex]

Circle B

[tex]\implies (x-2)^2+(y-3)^2=16[/tex]

[tex]\implies x^2-4x+4+y^2-6y+9=16[/tex]

[tex]\implies x^2-4x+y^2-6y-3=0[/tex]

Circle C

[tex]\implies (x+2)^2+(y+4)^2=49[/tex]

[tex]\implies x^2+4x+4+y^2+8y+16=49[/tex]

[tex]\implies x^2+4x+y^2+8y-29=0[/tex]

To find the point of intersection of the three circles, solve simultaneously.

Substitute equation B into equation A to eliminate x² and y²:

[tex]\implies x^2-4x+y^2-6y-3=x^2+4x+y^2-10y+25[/tex]

[tex]\implies -4x-6y-3=4x-10y+25[/tex]

Rearrange to isolate y:

[tex]\implies -6y-3=8x-10y+25[/tex]

[tex]\implies 4y-3=8x+25[/tex]

[tex]\implies 4y=8x+28[/tex]

[tex]\implies y=2x+7[/tex]

Substitute the expression for y into equation C and simplify:

[tex]\implies x^2+4x+(2x+7)^2+8(2x+7)-29=0[/tex]

[tex]\implies x^2+4x+4x^2+28x+49+16x+56-29=0[/tex]

[tex]\implies 5x^2+48x+76=0[/tex]

Substitute the expression for y into equation B and simplify:

[tex]\implies x^2-4x+(2x+7)^2-6(2x+7)-3=0[/tex]

[tex]\implies x^2-4x+4x^2+28x+49-12x-42-3=0[/tex]

[tex]\implies 5x^2+12x+4=0[/tex]

Equate the equations to eliminate 5x² and solve for x:

[tex]\implies 5x^2+48x+76=5x^2+12x+4[/tex]

[tex]\implies 48x+76=12x+4[/tex]

[tex]\implies 36x+76=4[/tex]

[tex]\implies 36x=-72[/tex]

[tex]\implies x=-2[/tex]

Substitute the found value of x into the found expression for y:

[tex]\implies y=2(-2)+7[/tex]

[tex]\implies y=-4+7[/tex]

[tex]\implies y=3[/tex]

Therefore, the point of intersection of the three circles if (-2, 3) and hence the location of the earthquake's epicenter is (-2, 3).

Learn more about circle equations here:

https://brainly.com/question/27953043

https://brainly.com/question/27979372

Using proportions, the expression for the final amount is:

150(1+d).

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

For this problem, we have that:

Hence the equivalent expression is:

120 x 1.25 x (1 + d) = 150(1+d).

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer:

connect the points (0, 3) and (4, 2)

Answer:

Step-by-step explanation:

According to the picture, the angles with measure of 65° and x are included between two parallel pairs of lines.

It makes them equal:

y is the exterior angle of the triangle with two remote interior angles with measure of 40° and 65°.

As per definition of the exterior angle its measure is same as the sum of remote interior angles:

The probabilities in each of the given categories are; A) 51.33%; B) 51.33% C) 30.33% D) 30.33%

The number of ways to select 2 out of 25 is; 25C2 = 25! / (23! * 2!)

= 25*24/2

= 300

(A) Probability of selecting 1 male and 1 female:

[(11C1) * (14C1)]/300 = [11!/(10! * 1!)] * [(14!/(12! * 2!))

= 51.33%

(B)  Probability of selecting 1 female and 1 male:

[(14C1) * (11C1)]/300 = 51.33%

(C)   Probability that 2 females are selected is;

(14C2)/300 = 30.33%

D) Probability that no males are selected is;

P(no males) = (11C0 * 14C2 )/300 = 30.33%

Read more about probability of Selection at; https://brainly.com/question/251701

#SPJ1

Answer:

1/10

Step-by-step explanation:

the probability of drawing r the first time is 2/5, if tina had gotten the r the first time, the probability of drawing r on the second time is 1/4, so the probability tina draws an r twice is 2/5 * 1/4, or 2/20, or 1/10

The circumference and area of the circle is 12. 57 inches and 12. 57 inches square respectively.

The steps involved in inscribing a triangle;

If the line drawn from point B to point P measures 2 inches, then the diameter is

=  2 × 2

= 4 inches.

The formula for calculating the circumference of a circle is given as;

Circumference = 2 π r

Radius = diameter/ 2

Radius = 4/2 = 2 Inches

Substitute the values

Circumference = 2 × 3. 142 × 2

Circumference = 12. 57 inches

Area = π r²

Area = 3. 142 × 2²

Area = 3. 142 × 4

Area = 12. 57 square inches

Thus, the circumference and area of the circle is 12. 57 inches and 12. 57 inches square respectively.

Learn more about a circle here:

https://brainly.com/question/15673093

#SPJ1

The divisor of the expression 2/3 ÷ 6/5 is 9.

We have,

Expression:

2/3 ÷ 6/5

The concept used.

a/b ÷ c/d = ad / bc

Now,

2/3 ÷ 6/5

This can be written as,

= 2/3 x 5/6

= (2 x 5) / (3 x 6)

= 10 / 18

= 2 x 5 / 2 x 9

Cancel the common factor.

= 5 / 9

This can be read as,

Dividend = 5

Divisor = 9

Thus,

The divisor of the expression is 9.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ3

Answer:

80

Step-by-step explanation:

DAB =DAC...........

Answer:

-1/2

Step-by-step explanation:

-3/8+-1/8=-4/8 which is equal to -1/2

Answer:

1/4

Step-by-step explanation:

(3/8)+(-1/8)

= (3/8) - (1/8)

= 2/8

= 1/4

Answer:

11.863 g

Step-by-step explanation:

5.623 g + 6.24 g = 11.863 g

Ray has the incorrect reasoning because he incorrectly select the sine  function when he should have utilized the tangent.

A right angle triangle is a triangle that has one of its angles as 90 degrees.

The height of the ray can be found using trigonometric ratios.

Therefore,

tan 30 = opposite / adjacent

where

opposite side = height

adjacent side = 35 inches

Therefore,

tan 30° =  height / 35

cross multiply

height = 35 tan 30°

height = 20.2072594216

height = 20.21 inches

Therefore, Ray has the incorrect reasoning because he incorrectly select the sine  function when he should have utilized the tangent.

learn more on right triangle here: https://brainly.com/question/14111788

#SPJ1

Answer:

1. Ray

2. Sine

3. Tangent

Step-by-step explanation:

Plato/Edmentum

The value of the ratio based on the angle illustrated is 1:12.

From the information given, it should be noted that the angle in a circle is 360°. Therefore, the value of theta will be:

= 360° - 330°

= 30°

The equivalent expression based on the angle will be:

= 30/360

= 1/12

= 1:12

Learn more about ratio on:

brainly.com/question/2328454

#SPJ1

Answer:

  (c)  y = 3^x

Step-by-step explanation:

A function is described as exponential if the independent variable is found in the exponent.

  y = x^(1/2) . . . a square root function, not exponential

  y = 2x^3 . . . . a cubic (polynomial) function, not exponential

  y = 3^x . . . . . an exponential function

The missing parts of the proof are: A. distance formula; definition of congruence; if two consecutive sides of a rectangle are congruent, then it is a square.

A square is a special type of rectangle whose consecutive sides are congruent. All four sides of a square are congruent.

In the proof given, the distance formula [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex] was used to find ST = a units in step 2.

By the definition of congruence, RS = ST in step 4.

Finally, RSTU is stated to be a square because if two consecutive sides of a rectangle are congruent, then it is a square.

The option that completes the proof in the right order is: A. distance formula; definition of congruence; if two consecutive sides of a rectangle are congruent, then it is a square.

Learn more about square on:

https://brainly.com/question/813881

#SPJ1

Answer:

distance formula; definition of congruence; if two consecutive sides of a rectangle are congruent, then it’s a square

Step-by-step explanation:

so its c for me

Answer:

D.

Step-by-step explanation:

the suggested relation can be described as y=15x. Then the correct answer is D) Yes, the points are on the line that passes through the origin.

The effective sizes for parametric tests, non parametric tests and chi square tests are as detailed below.

11) Parametric t-tests are statistical tests that assume the data approximately follows a normal distribution. Now, when trying to check for parametric t-tests, the effective size we use is Cohen's d which is an appropriate effect size for the comparison between two means.

12) Nonparametric t-tests are those statistical tests that don’t assume anything about the distribution followed by the data, and hence are also known as distribution free tests.

In non - parametric t - tests, we calculate effect size by using the formula;

r = z/√N

where;

r is effect size

z is z value

N is Observation number.

13) In the chi-square test, the effect size index (w) is calculated by dividing the chi-square value by the number of scores and taking the square root.

The effective size is considered small if w = 0.10, Considered medium if w = 0.30, and large if w = 0.50.

Read more about Statistics test size at; https://brainly.com/question/17203075

#SPJ1

The speed of an object is the relationship between the distance covered by the object and the time taken. Thus, the average speed of the other car is 30 mph.

The speed of an object is the relationship between the distance covered by the object and the time taken. The expression for speed is given as;

speed = [tex]\frac{distance covered}{time taken}[/tex]

⇒ distance = speed x time taken

In the given question, the distance of the first car after 2 hours can be determined as:

distance = 80 mph x 2 h

              = 160 miles

The distance covered by the first car after 2 hours is 160 miles.

Thus, since the total distance between the two cars after 2 hours is 220 miles, then;

distance covered by the second car = 220 miles - 160 miles

                                                          = 60 miles

The distance covered by the second car is 60 miles.

So that the average speed of the other car is;

speed = [tex]\frac{60}{2}[/tex]

           = 30 mph

The average speed is 30 miles per hour (mph).

For more clarifications on the speed of an object, visit: https://brainly.com/question/24749487

#SPJ1

Answer:

4

Step-by-step explanation:

both sides are multiplied by 2 which means its the original area*2*2 which means it's the original area*4

a) The equation of axis is the middle y-coordinate, which is y = -1.5.

b) The period is the amount of time it takes for the graph to repeat, which is 6.

c) The amplitude is the vertical distance from an extreme point to the midpoint, which is 3.

d) This is a cosine graph since when x=0, y is not equal to 0.

Answer:12

Step-by-step explanation:

Peter's age = x

John's age = y

y=2x

after 8 years = y+8=y+x+2

=(y-y)+8-2=x

=6=x

y=2(6)=12

Answer:

51.6 megabytes

Step-by-step explanation:

It is asking you what 18.9 percent of 273 is. To find this you multiply 18.9 x 273 and then divide it by 100 which equals 51.597.

You then round it to the nearest tenths which gives you 51.6

The unknown number of the given expression is 8

Let the unknown number be x such that three times the sum of some number plus 3 is equal to 7 times the number minus 23 is expressed as;

3(x + 3) = 7x - 23

Expand

3x + 9= 7x - 23

Collect the like terms

3x-7x = -23 - 9

-4x = -32

x = 8

Hence the unknown number of the given expression is 8

Learn more on equation here; https://brainly.com/question/13763238

#SPJ1

The function has a horizontal asymptote at y = 1

The function is given as:

f(x) = -4/x + 1

Set the radicand to 0.

So, we have:

y = 0 + 1

Evaluate

y = 1

Hence, the function has a horizontal asymptote at y = 1

Read more about horizontal asymptote at:

https://brainly.com/question/4084552

#SPJ1

Answer:

41.12 ft

Step-by-step explanation:

10 + 6 = 16

2 x pi x r = 25.12

16 + 25.12 = 41.12

Answer:

Step-by-step explanation:

find the outer perimeter of this figure

r = diameter : 2 = 8 : 2 = 4

2π4 =

8π=

8 × 3.14 = 25.12 ft

find figure perimeter

25.12 + 6 + 10 =

41.12 ft

Answer:

m∠B > m∠C > m∠A

Step-by-step explanation:

The angle opposite the largest side in a triangle is the largest, and the angle opposite the shortest side is the smallest.