Christopher's math grade decreased from 86 to 65. What is the the approximate percent decreases?

Answer:

5.1

Step-by-step explanation:

Answer:

1.7√9.18

= 5.4

Hope it helps

Step-by-step explanation:

Z-score = (score-mean)/standard deviation

= (3.06-2.38)/0.45

= +1.51

The significance of z-score will be "1.5111".

Given values are:

Mean,

[tex]\mu = 2.38[/tex]

Standard deviation,

[tex]\sigma = 0.45[/tex]

GPA,

[tex]\bar x = 3.06[/tex]

Now,

→ The z-score will be:

= [tex]\frac{\bar x - \mu}{\sigma}[/tex]

By putting the given values, we get

= [tex]\frac{3.06-2.38}{0.45}[/tex]

= [tex]\frac{0.68}{0.45}[/tex]

= [tex]1.5111[/tex]

Learn more about standard deviation here:

https://brainly.com/question/5778359

Answer:

x = 18

Step-by-step explanation:

We can use Alternate Exterior Angles Theorem to find the angle above x. It would equal 94°. We then use Supplementary Angles to find x:

5x - 4 + 94 = 180

5x + 90 = 180

5x = 90

x = 18

Answer:

I am in 6th, doing 7th grade math, but can get up to 12th grade math lol.

x = 18

Step-by-step explanation:

First step: 5x - 4 + 94 = 180

Second step: 5x + 90 = 180

Last step: 5x = 90

So, therefore, your correct answer is: x = 18

Answer:

each student will receive 14 pieces of candy and that leaves 6 pieces for himself.

 14*21=294

294+6=300

Answer: b=31, c=5

Step-by-step explanation: if this is a equilateral triangle then all the sides when split in half will be the same as the other side

Answer:

The answer is below

Step-by-step explanation:

We have a vector with a magnitude of 50 miles and a direction of 240 °.

To draw it, the first thing is to make a Cartesian plane, the first thing is to know in which quadrant it would be, 240 ° is in the third quadrant (180 ° - 270 °), that is, it would be 30 ° (270 ° - 240 °) with respect to to the y axis negative.

Knowing this angle, we calculate the value of x and y, knowing that the magnitude of the vector is 50 miles, that is, this value would be the hypotenuse.

The value on the x-axis can be calculated using the sine of the angle, like this:

sin 30 ° = x / 50

x = sin 30 ° * 50

x = 25, how is the third quadrant would be -25

Now to calculate the value on the y-axis it would be by means of Pythagoras and it would be:

y ^ 2 = 50 ^ 2 - 25 ^ 2

y ^ 2 = 1875

y = 43.3, -43.3 because it must be located in the fourth quadrant

Which means that to draw the vector that we are asked to do, we must draw a point from origin (0,0) to (-25, -43.3).

Then I leave a sketch of what it would be:

Answer:

Step-by-step explanation:

is an arithmetic progression with ratio=4

a1=5

a2=a1+4=5+4=9

a3=a2+4=9+4=13

...............

a n+1 = a n+4

the condition can be written as the set of sequence of numbers from 5 to infinite which are written from nth term 4n + 1.

Question

Points A, B and C are all on the

circumference of the circle. O represents the centre. DA and DB are tangents to the circle. Angle BDO = 31°

Work out the size of angle x

Answer:

62°

Step-by-step explanation:

To solve for the above question, we would be using circle theorems.

Step 1

Angle OBD = 90° This is because a radius and a tangent meet at 90°

Step 2

The sum of Angles in a triangle = 180°

180° = Angle OBD + Angle BDO + Angle BOD

180° = 90° + 31° + Angle BOD

Angle BOD = 180° - (90° + 31°)

= 180° - 121°

Angle BOD = 59°

Step 3

Angle BOD = Angle AOD because they are congruent ,therefore, Angle AOD = 59°

Step 4

The sum of angles of a straight line = 180°

Angle BOD, Angle AOD and Angle x are angles on a straight line

Hence,

180° = Angle BOD + Angle AOD + Angle x

180° = 59° + 59° + x

x = 180° - ( 59 + 59)°

x = 180° - 118°

x = 62°

Therefore Angle x = 62°

Answer:

A. x is all real numbers.

Step-by-step explanation:

The domain is the input values for the function, in this case the x values

As we can see in the graph, x can be any real value

Answer:

A) x is all real numbers

Step-by-step explanation:

Domain = x

In the graph, x seems to continue infinitely in both directions. This means that x is all real numbers.

Answer:

The mass of the Blue whale is 200 times the mass of the cow

Step-by-step explanation:

Given

Mass of Cow = 9 * 10² kg

Mass of Blue Whale = 1.8 * 10⁵ kg

Required

Determine the relationship between both weights

Represent the mass of the cow with C and the mass of the whale with B

[tex]C = 9 * 10^2kg[/tex]

[tex]C = 9 *100kg[/tex]

[tex]C = 900kg[/tex]

[tex]B = 1.8 * 10^5kg[/tex]

[tex]B = 1.8 * 100000kg[/tex]

[tex]B = 180000kg[/tex]

Divide the bigger weight by the smaller weight

[tex]\frac{B}{C} = \frac{180000kg}{900kg}[/tex]

[tex]\frac{B}{C} = \frac{180000}{900}[/tex]

[tex]\frac{B}{C} = {200}{}[/tex]

Multiply both sides by C

[tex]C * \frac{B}{C} = {200}{} * C[/tex]

[tex]B = {200}{} * C[/tex]

[tex]B = 200}C[/tex]

From the expression above, it can be concluded that the mass of the Blue whale is 200 times the mass of the cow

Answer:

666.70 at the end of every six months.

Step-by-step explanation:

At the end of  every six months deposit amount is 666.70

Compound interest is the interest paid on both principal and interest, compounded at regular intervals.

Formula of compound interest :

[tex]A = P(1+\frac{r}{100} )^{n}[/tex]

where,

A = final amount

P = initial principal

n = time in years

r = rate per annum

According to the question

Final Amount needed for a special vacation (A) = ​$4000

Time in years needed to collect Amount (n) =  3 years

Rate per compounded semiannually (r) = 4.5​%

Substituting values in formula for six months

Now time (n) = 3 * 6 = 18 years

using formula of compound interest

[tex]A = P(1+\frac{r}{100} )^{n}[/tex]

[tex]4000 = P(1+\frac{4.5}{100} )^{18}[/tex]

[tex]4000 = P(1.045 )^{18}[/tex]

now,

P = 666.70

Hence, at the end of  every six months deposit amount is 666.70

To know more about compound interest here:

https://brainly.com/question/14295570

#SPJ2

Answer:

The blue point will be at (4, 3)

Step-by-step explanation:

Numbers inside the parenthases only affect x, but are revered. If it is -4, move right 4. lf it is 4, move left 4.

Numbers after the patentheses affect the movement of y. When the point is at (4, 0), move up 3.

Answer:

The volume of the composite figure is:

Step-by-step explanation:

To identify the volume of the composite figure, you can divide it in the known figures there, in this case, you can divide the figure in a cube and a pyramid with a square base. Now, we find the volume of each figure and finally add the two volumes.

VOLUME OF THE CUBE.

Finding the volume of a cube is actually simple, you only must follow the next formula:

So:

VOLUME OF THE PYRAMID.

The volume of a pyramid with a square base is:

Where:

B = area of the base.

h = height.

How you can remember, the area of a square is base * height, so B = 6 ft * 6 ft = 36 ft^2, now we can replace in the formula:

Finally, we add the volumes found:

Answer:

No it’s not a translation

Step-by-step explanation:

No it’s not a translation because a translation is when you are just moving a shape not resizing or rotating the shape.

Answer:

120

Step-by-step explanation:

The area of the smaller square is half of the area of the larger square because it's formed by joining the midpoints. Therefore, the area of the big square is 60 * 2 = 120.

Answer:

120

Step-by-step explanation:

Answer:

-35 dollar net loss

Step-by-step explanation:

Since the gambler won $65 but still lost $100, we can see that we would still have a negative net loss.

Answer:

Step-by-step explanation:

eq. of any line parallel to y=1/2 x-4 is

y=1/2 x+a,where a is constant.

∵ it passes through (4,5)

5=1/2(4)+a

5=2+a

a=5-2=3

so reqd. eq. is y=1/2 x+3

Answer:

Equation of the line is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

[tex]y = \frac{1}{2} x - 4[/tex]

comparing this equation with the above formula

Slope or m is 1/2

Since the lines are parallel their slope are also the same

That's

m = 1/2

Equation of the line using point (4,5) is

[tex]y - 5 = \frac{1}{2} (x - 4) \\ y - 5 = \frac{1}{2} x - 2 \\ y = \frac{1}{2} x - 2 + 5 \\ y = \frac{1}{2} x + 3[/tex]

Hope this helps you.

Answer:

She is incorrect

Step-by-step explanation:

Step 1: substitute

135 into x in both equations

Step 2: Solve the equations. Once you do this you will get y = 5375 for the first one and y = 4720 for the second one, therefore she is incorrect

The answer is B)

Explanation:

In the equation 7(2B + J), the 7 indicates the seven days in a week, and the J indicates the money spent on juice.  Thus, the B must represent the money spent on granola bars.

Answer:

4/3

Step-by-step explanation:

TanC = opposite/adjacent

TanC = 40/30 ➡ 4/3

Answer:

Step-by-step explanation:

[tex]2(x + 3) = x - 4[/tex]

Multiply each term in the parenthesis by 2

[tex]2 x + 6 = x - 4[/tex]

Move variable to L.H.S and change its sign

[tex]2x - x + 6 = - 4[/tex]

Move constant to R.H.S and change its sign

[tex]2x - x = - 4 - 6[/tex]

Calculate

[tex]x = - 10[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

  0.333

Step-by-step explanation:

The first sequence starts at 1 and has a common difference of 2. It will include every odd number in the range.

__

The second sequence starts at 1 and has a common difference of 3. It will include odd numbers and the even numbers 4, 10, 16, .... That is, all even numbers of the form 6n -2 will be included. The last one corresponds to the largest value of n such that ...

  6n -2 ≤ 1000

  6n ≤ 1002

  n ≤ 167

That is, 167 even numbers will also be excluded.

__

The third sequence starts at 1 and has a common difference of 4. Every number in this sequence is also a number in the first sequence.

__

So the numbers in these sequences include all 500 odd numbers and 167 even numbers, for a total of 667 numbers. The probability that a randomly chosen number is not in one of these sequences is ...

  (1000 -667)/(1000) = 333/1000 = 0.333 . . . . p(not a sequence term)

Answer:

1/3

Step-by-step explanation:

Answer:

128

Step-by-step explanation:

You have two jars and seven marbles.

You do [tex]2^{7}[/tex].

That is 128

Answer:

(–1, –5)

Step-by-step explanation:

Two linear equations are represented by using the tables below. A 2-column table with 4 rows titled Equation A. Column 1 is labeled x with entries negative 2, 0, 3, 4. Column 2 is labeled y with entries negative 8, negative 2, 7, 10. A 2-column table with 4 rows titled Equation B. Column 1 is labeled x with entries negative 3, negative 1, 1, 5. Column 2 is labeled y with entries negative 9, negative 5, negative 1, 7. The data points for equation A are graphed on the coordinate plane below and are connected by using a straight line. On a coordinate plane, a line goes through (0, negative 2) and (2, 4). What is the solution to the system of equations? (–2, –8) (–1, –5) (0, –2) (2, 4)

Answer: To find the equation of line A, we can use any two points. Let us use points (-2, -8) and (0, -2). Therefore, the equation of line A can be gotten using the equation:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\ Substituting:\\y-(-8)=\frac{-2-(-8)}{0-(-2)}(x-(-2))\\y+8=3(x+2)\\y+8=3x+6\\y=3x+6-8\\y=3x-2[/tex]

To find the equation of line B, we can use any two points. Let us use points (-3, -9) and (-1, -5). Therefore, the equation of line B can be gotten using the equation:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\ Substituting:\\y-(-9)=\frac{-5-(-9)}{-1-(-3)}(x-(-3))\\y+9=2(x+3)\\y+9=2x+6\\y=2x+6-9\\y=2x-3[/tex]

To find the solution to the system of equations, we solve them simultaneously

y = 3x   - 2              .             .             .         1)

y = 2x - 3                .                .           .           2)

Subtracting equation 2 from 1:

x + 1 = 0

x = -1

Put x = -1 in equation 1)

y = 3(-1) - 2

y = -3 - 2

y = -5

Therefore the solution to the equation is (-1, -5)

the correct answer is B (–1, –5)

Answer:

B. Is the Answer 100 m²

Step-by-step explanation:

The ratio of the two solid is 729/125  

The ratio of the surface area = (729/125)^(2/3)=81/25  

Surface area = 25 * 324 / 81 = 100 m²

Answer:

Step-by-step explanation:

To find the distance d we use sine

sin∅ = opposite / hypotenuse

d is the opposite

the hypotenuse is 85ft

∅ = 68°

sin 68 = d / 85

d = 85 sin 68

d = 78.810 feet

Hope this helps you

Answer:

571.392 cm3

Step-by-step explanation:

Answer:

Valid

Step-by-step explanation:

No calculations, but,

Def. of isosceles triangle= two congruent sides.

yes is isosceles

Step-by-step explanation:

valid