These four numbers are plotted on a number line: -2/3 5/8 -3/5 -1/2 Which is the correct ordering on the number line, from left to right?​

9514 1404 393

Answer:

  64.6

Step-by-step explanation:

One standard deviation is 4.3. Then +2 standard deviations is ...

  (+2)(4.3) = +8.6

This amount added to the mean gives ...

  56 +8.6 = 64.6 . . . . +2σ from the mean

Answer:

50% or 3/6 (1/2).

Step-by-step explanation:

Answer:

hygu

Step-by-step explanation:

yg9k

Answer:

MBI, MBV, ABV, ABI, MPI, MPV, APV, API

Answer:

the slope is 8/7 and the y-intercept is 300

Step-by-step explanation:

The y-intercept is 300 because that is where the estimated line of bets fit (the red line) crosses the y-intercept.

Answer:

x < 7

Step-by-step explanation:

the domain of a function defines the valid x values for the function.

as we go from left to right through all possible values of x, we see all values incl. x=-1 are creating a valid function result (y) for this function. until we reach x=7.

the empty ball indicates that there is no y value defined here. and for any value x>7 there is no y value defined.

so, x < 7 is the right one.

Answer: A

Step-by-step explanation:

Answer:

D No; even though there is a strong positive correlation, playing violin doesn't cause students to get better grades

Answer:

3/4

Step-by-step explanation:

because it is a linear function it means it has the same slope in every point

so you have to take 2 points and find the slope

I take points (0,1) and (4,4)

m = (y2-y1) / (x2-x1)

note that it does not matter which points you chose to be second or first

m = (4-1) / (4-0) = 3/4

you can solve it from the graph too 3/4 is y/x it means for every 4 unit right move 3 units up

Answer:

(4x+9)-(16x+9) = 4x+9-16x-9

= -12x

Answer:

2400 ways

Step-by-step explanation:

Combination has to do with the idea of selection. Here we need to select a president, a secretary, and a treasurer.

This means to select three out of twenty five persons.

From;

nCr = n! / ((n – r)! r!)

n = the number of items.

r = how many items are taken at a time.

Thus we have;

25C3 = 25!/(25 - 3)! 3!

=

1.6× 10^25/1.1×10^21 × 6

= 2400 ways

Circle 1 has center at (0, 0)

The tangent passes through the center and point (1, -2).

Equation of tangent at (1, -2):

If the same line is tangent to circle 2 then they have one common point.

Solve the system:

Substitute x:

We see only one point of contact, (3, -1), this proves the line is tangent to circle 2 as well.

Given circle:

Rewrite the equation of the circle as:

The center is (7/6, 1) the radius is √229/36

The length of the tangent t is the leg of the right triangle with another leg r being the radius and the hypotenuse d being the distance between the center and the external point:

Answer:

Your measurements; Area = 216.108 cm²

Another student's measurements; Area = 216.9404 cm²

- Difference in area could be as a result of human error or perhaps that they made use of different measuring tools.

Step-by-step explanation:

For Your measurements;

Length of rectangle = 20.70 cm

Width of rectangle = 10.44 cm

Area of rectangle is given by; A = length × width = 20.7 × 10.44 = 216.108 cm²

For Another student's measurements;

Length of rectangle = 20.74 cm

Width of rectangle = 10.46 cm

Area = 20.74 × 10.46

Area = 216.9404 cm²

The areas they both obtained are not of equal values and this could be as a result of human error or perhaps that they used different measuring tools.

Answer:

[tex](a)\ \sec^2(\theta) = 82[/tex]

[tex](b)\ \cot(\theta) = \frac{1}{9}[/tex]

[tex](c)\ \cot(\frac{\pi}{2} - \theta) = 9[/tex]

[tex](d)\ \csc^2(\theta) = \frac{82}{81}[/tex]

Step-by-step explanation:

Given

[tex]\tan(\theta) = 9[/tex]

Required

Solve (a) to (d)

Using tan formula, we have:

[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]

This gives:

[tex]\frac{Opposite}{Adjacent} = 9[/tex]

Rewrite as:

[tex]\frac{Opposite}{Adjacent} = \frac{9}{1}[/tex]

Using a unit ratio;

[tex]Opposite = 9; Adjacent = 1[/tex]

Using Pythagoras theorem, we have:

[tex]Hypotenuse^2 = Opposite^2 + Adjacent^2[/tex]

[tex]Hypotenuse^2 = 9^2 + 1^2[/tex]

[tex]Hypotenuse^2 = 81 + 1[/tex]

[tex]Hypotenuse^2 = 82[/tex]

Take square roots of both sides

[tex]Hypotenuse =\sqrt{82}[/tex]

So, we have:

[tex]Opposite = 9; Adjacent = 1[/tex]

[tex]Hypotenuse =\sqrt{82}[/tex]

Solving (a):

[tex]\sec^2(\theta)[/tex]

This is calculated as:

[tex]\sec^2(\theta) = (\sec(\theta))^2[/tex]

[tex]\sec^2(\theta) = (\frac{1}{\cos(\theta)})^2[/tex]

Where:

[tex]\cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos(\theta) = \frac{1}{\sqrt{82}}[/tex]

So:

[tex]\sec^2(\theta) = (\frac{1}{\cos(\theta)})^2[/tex]

[tex]\sec^2(\theta) = (\frac{1}{\frac{1}{\sqrt{82}}})^2[/tex]

[tex]\sec^2(\theta) = (\sqrt{82})^2[/tex]

[tex]\sec^2(\theta) = 82[/tex]

Solving (b):

[tex]\cot(\theta)[/tex]

This is calculated as:

[tex]\cot(\theta) = \frac{1}{\tan(\theta)}[/tex]

Where:

[tex]\tan(\theta) = 9[/tex] ---- given

So:

[tex]\cot(\theta) = \frac{1}{\tan(\theta)}[/tex]

[tex]\cot(\theta) = \frac{1}{9}[/tex]

Solving (c):

[tex]\cot(\frac{\pi}{2} - \theta)[/tex]

In trigonometry:

[tex]\cot(\frac{\pi}{2} - \theta) = \tan(\theta)[/tex]

Hence:

[tex]\cot(\frac{\pi}{2} - \theta) = 9[/tex]

Solving (d):

[tex]\csc^2(\theta)[/tex]

This is calculated as:

[tex]\csc^2(\theta) = (\csc(\theta))^2[/tex]

[tex]\csc^2(\theta) = (\frac{1}{\sin(\theta)})^2[/tex]

Where:

[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]

[tex]\sin(\theta) = \frac{9}{\sqrt{82}}[/tex]

So:

[tex]\csc^2(\theta) = (\frac{1}{\frac{9}{\sqrt{82}}})^2[/tex]

[tex]\csc^2(\theta) = (\frac{\sqrt{82}}{9})^2[/tex]

[tex]\csc^2(\theta) = \frac{82}{81}[/tex]

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

Explanation:

Ignore the portions that are 12 and 13 units long.

The base of triangle ABC is 8 units long. The height is 5 units. The base and height are always perpendicular.

The area is base*height/2 = 8*5/2 = 40/2 = 20 square units

---------

Side note:

You could find the area of triangle ABD, where D is at the 90 degree angle location, and then subtract off the area of triangle ACD. This is a slightly longer approach compared to the first section above.

Answer:

{x|x rx>-2}

Step-by-step explanation:

hope helpful answer

Answer: b) f(m)

Step-by-step explanation:

y intercept of the function f (x) = -2/9x + 1/3

is

[tex] \frac{1}{3} [/tex]

OPTION C

Answer:

About 39,402.

Step-by-step explanation:

You need to find the 46% of black cars.

Answer:

a.) a = -34 and b = 2

b.) a = -91.11 b = 2.22

c.) David scored 124, nancy scored 84.27

David scored higher

Step-by-step explanation:

for those in the 3rd grade

mean u = 67

s = 10

we used the z formula

[tex]z=\frac{x-u}{s}[/tex]

[tex]z=\frac{x-67}{10}[/tex]

we have the new score

u = 100

s = 20

we use this formula [tex]z*s+u[/tex]

[tex][\frac{x-67}{10} ]20\\[/tex] + 100

multiply through by 20

[tex][\frac{20x-1340}{10} ] +100[/tex]

dividing the bracket by 10

= [tex]2x-134+100[/tex]

= [tex]2x-34[/tex]

from this solution above,

a = -34 and b = 2

b.)

we solve for those in the 6th grade

u = 86

s = 9

[tex]\frac{x-86}{9}[/tex]

for new score,

y = 100

s = 20

[tex][\frac{x-86}{9} ]20+100[/tex]

[tex]2.22x-191.11+100\\= 2.22x - 91.11[/tex]

from this solution

a = -91.11

b = 2.22

c.) if David scored 79

[tex]= 2(x)-34[/tex]

= 2(79) - 34

= 158 - 34

= 124

if nancy scored 79

= 2.22(79) - 91.11

= 175.38 - 91.11

= 84.27

from these scores we can see that David scored higher in his grade

Answer:

The first one

(I can't see it too properly but if the dot on -10 has a hole in it then this is the answer)

Answer:

-25 feet

Step-by-step explanation:

First she descends 5 feet below sea level

She then descends the SAME DISTANCE ( so 5 feet ) 4 MORE TIMES

So feet descended = 4 * 5 + 5

4 * 5 = 20

20 + 5 = 25

Her final elevation will be -25 feet

( it's important that we add a negative sign because she is descending meaning going down )

Answer:

B. 1 unit

Step-by-step explanation:

the circumference of a circle is

Cc = 2×pi×r

r = radius = diameter / 2

now we need to find the diameter (= 2×r) of a circle with the circumference of pi.

=>

pi = 2×pi×r

1 = 2×r = diameter

so, the diameter is 1 unit.

Answer:

The answer is B: ( g o f) (x) = ( x + 1)^2

Explanation:

⟹ (g ∘ f) (x) = g [f (x)]

Replace x in g(x) = x^2 with x+1

= ( x + 1 ) ^2

Answer:

115

Step-by-step explanation:

There were 115 adult tickets were sold.

A ratio shows how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six.

Given that, the number of tickets sold was 210. The ratio Number of adult tickets: Number of student tickets was 23:19.

Let the number of tickets sold for adults be 23x and for students be 19x

Therefore, 23x+19x = 210

42x = 210

x = 210/42

x = 5

So,  Number of adult tickets = 5x23 = 115

Hence, There were 115 adult tickets were sold.

For more references on ratios, click;

https://brainly.com/question/13419413

#SPJ2

Answer:

The correct answer is choice C.

Step-by-step explanation:

To find the area of the arrow, we must add together the areas of the rectangle and the triangle that make up the arrow.  The rectangle has a length of 10 inches and a width of 4 inches, and the triangle has a base of 8 inches and a height of 2 inches.  Using this information, we can plug numbers into the following formula:

Area of arrow = area of rectangle + area of triangle

Area of arrow = (10*4)+(1/2*8*2)

Area of arrow = 40 inches squared + 8 inches squared

Area of arrow = 48 inches squared

Therefore, the correct answer is option C, 48 square units (in this case, inches).

Hope this helps!

Answer:

Step-by-step explanation:

If the radius of the circle is equal to

[tex]\sqrt{\frac{A}{3} }[/tex] and the area is given as 45, then

[tex]r=\sqrt{\frac{45}{3} }[/tex] which simplifies to

[tex]r=\sqrt{15}[/tex] and to the nearest tenth,

r = 3.9

Answer:

C: x=-10

Step-by-step explanation:

Alternate interior angles are congruent to each other meaning that x+80=70 making x equal to -10. I hope this helped and this is one of my favorite units so post more these questions :)

Answer:

ok so we know the amount we know the interest amount but we do know know the period of time so the equation would look like this

28000(0.4)T=I

T=Time

I=interest

Answer:

B 13m+8

Step-by-step explanation:

(20m+3) - (7m-5)

20m+3-7m+5

13m+8

Answer:

7.47 seconds

Step-by-step explanation:

From the quadratic equation  the x coordinate of the vertex is

x = -b/(2a)

---------------------------

y = -16x² + 239x + 127

x = -239/ ( 2 * (-16) )

x = -239 / (-32)

x = 7.46875

Rounded

x = 7.47