In a psychology class, 30 students have a mean score of 87.7 on a test. Then 21 more students take the test
and their mean score is 67.7.
What is the mean score of all of these students together? Round to one decimal place.
mean of the scores of all the students.

The value of 3 times 4 times 4 times 3 times 3 times 4 in exponent is 3³ × 4³

An exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.

In this case, the expression given is 3 times 4 times 4 times 3 times 3 times 4. It should be noted that the 4 occurs three times as well as the 3.

Therefore, this will be 3³ × 4³.

Learn more about exponents on:

brainly.com/question/13669161

#SPJ1

The 50 pounds of trail mix includes 28.57 pounds of cashews and 21.43 pounds of chocolate candies.

let

x + y = 50

2.75x + y = 50 × 2

Solve the equation simultaneously

x + y = 50

2.75x + y = 100

2.75x - x = 100 - 50

1.75x = 50

x = 50/1.75

x = 28.57 pounds

Substitute into

x + y = 50

28.57 + y = 50

y = 50 + 28.57

y = 21.43 pounds

So therefore, the pounds of cashew and chocolate candies needed are 28.75 and 21.43 respectively.

Read more on simultaneous equation:

https://brainly.com/question/16863577

#SPJ1

68 calls she received in each evening .

A straight line equation and equations with a maximum order of one are referred to as "linear equations." The formula for the linear equation can be written as Y = mx + b, where m is the slope of the line, b is the y-intercept, and x and y are the variables. Slopes tell us the direction and steepness of a line. The value of y when x is 0 is referred to as the y-intercept because (0,y) is the point where the line crosses the y-axis.

Let's say the number of calls on the second night was x.

The first evening was then x+7.

The third evening she received 4x calls.

Add them up to make 109 calls....

x + x+7 + 4x = 109

6x + 7 = 109

6x = 102

x = 17 calls

x+7 = 24 calls

4x = 68 calls

learn more about linear equations here :

brainly.com/question/11897796

#SPJ13

The crate's density in pounds per cubic foot?

Since the crate of medicine with a density of 2050 kilograms per cubic meter will be shipped from England to the U.S, we require its density in pounds per cubic foot.

To do this, we convert the density in kilograms per cubic foot to pounds per cubic foot by using the ratios of conversion given

Since the density of the crate in kilograms per cubic meter is

2050 kg/m³, using the conversion ratios, we have

2050 kg/m³ = 2050 kg/m³ × 1 m³/35.3 ft³ × 2.2 lb/kg

= 4510 lb/m³ × 1 m³/35.3 ft³

= 127.76 lb/ft³

So, crate's density is 127.76 lb/ft³

Learn more about density here:

https://brainly.com/question/6838128

#SPJ1

The y-intercept of the line will be equal to 7.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that a line that has a slope of 2 and ( - 2, 3 ). The y-intercept of the line will be calculated as,

y = mx + c

3 = (-2 x 2 ) +c

3 = -4 + c

c = 4 + 3

c = 7

Therefore, the y-intercept of the line will be equal to 7.

To know more about an equation of the line follow

brainly.com/question/18831322

#SPJ1

Both function in item I is decreasing, and the function in item II is increasing.

What is function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.

What is domain?

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

What is range?

The difference between the lowest and highest values in a list or set is known as the range. Put all the numbers in order before determining the range. The lowest number should then be subtracted from the highest. The range of the list is provided in the response.

1) As shown in the I that the function is in 3rd quadrant so thats why it decreases.

2)As show in II figure if ;

x1 = -1 ,y1 = -1

x2 = 0 , y2 =2

x3 = 1, y3 = 5

from the above observation it is clear that ;

x1<x2, y1<y2, x2<x3, y2<y3

So, the II item is increases (monotone increasing)

Learn more about the function:

https://brainly.com/question/17043948

#SPJ13

From the given set of equation the one which has same solution as

x² + 4x + 13 = -10 is given by (x+2)² = -19.

As given in the question,

Given equation is equal to:

x² + 4x + 13 = -10

Simplify it we get,

x² + 4x + 13 +10 =0

⇒ x² + 4x + 23 =0  ___(1)

General quadratic equation is

ax² + bx + c =0

a = 1 , b =4 , c =23

Simplify the given options we have:

a. (x+2)² = -19

⇒ x² + 4x + 4 = -19

⇒ x² + 4x + 4 + 19 =0

⇒ x² + 4x + 23 =0

Has same solution as given one.

b.  (x-2)² = -27

⇒ x² -4x + 4 +27 =0

⇒x² -4x +31 =0

'b' and 'c' value are different

Not have same solution.

c. (x-2)² =-19

⇒ x² -4x + 4 +19 =0

⇒x² -4x +23 =0

'b' value is different.

Not have same solution.

d. (x+2)² = -27

⇒ x² +4x + 4 +27 =0

⇒x² +4x +31 =0

'c' value is different

Not have same solution.

Therefore, from the given set of equation the one which has same solution as x² + 4x + 13 = -10 is given by (x+2)² = -19.

The complete question is:

Which equation has the same solution as x² + 4x + 13 = -10?

a. (x+2)² = -19

b. (x-2)² = -27

c. (x-2)² =-19

d. (x+2)² = -27

Learn more about equation here

brainly.com/question/10413253

#SPJ1

Answer: 3.28 inches

Step-by-step explanation:

Fabric used for players and coaches is 776.32 inches.

Number of players is 29 and coaches is 3

So fabric used for each player and coach for the headbands is

776.32/29+3 = 24.26 inches

So, for the players 24.26 of fabric will be used for the headbands.

Total fabric used for the wristbands is 247.66 inches

Fabric used for the wristband is

247.66/29 = 8.54 inches

So, total amount of fabric used by Shelia for the wristband and headband is 24.26 + 8.54 = 32.8 inches.

Answer: Yes, Probably

The statements that are true about the ordered pair (−4, 0) and the system of equations include the following:

In order to determine which statements are true with respect to a solution of the given system of linear equations, we would have to test the given ordered pairs by substituting their values into the linear equations as follows;

For ordered pair (-4, 0), we have:

2x + y = -8x

2(-4) + 0 = -8(4)

-8 = -32 (False)

For ordered pair (-4, 0), we have:

x - y = -4

-4 - 0 = -4

-4 = -4 (True).

Read more on ordered pairs here: brainly.com/question/12179097

#SPJ1

The Diameter of the cube would be 3 inches

What is Variation?

A variation is a relationship that exists between a set of values for one variable and a set of values for other variables.

Solution:

We know that,

Horse Power is directly proportional to RPM * Diameter

So, we can write

Horse Power = k * RPM * Diameter

here, k is any constant

From the first case given, we can find the value of k

16 = k * 2 * 120

k = 1/15

Putting the value of k in second case,

30 = 1/15 * 150 * Diameter

Diameter = 3 inches

To learn more about Variation from the given link

https://brainly.com/question/25215474

#SPJ9

Answer:

positive 3

Step-by-step explanation:

Steps:

1. first you must get y by itself/isolate it to one side of the equation to get it in the format of y = mx + b

-3x + 2y = 6

+3x           +3x            add 3x to both sides to get 2y by itself
____________

2y = 3x + 6                -3x+3x cancels out and becomes 0

-------------------------
         2                        divides both sides by 2 to get y by itself

y = (3/2)x + 3

2. Looking at the equation, we know that 3 is the y-intercept because the "b" in the slope-intercept equation is always the y-intercept.

Answer:

33 degrees

Step-by-step explanation:

The square in the corner of these two vectors signifies that this is a right angle, which will always equal 90 degrees, so if you subtract angle 2's value of 57 degrees, you will be left with angle 1 as 33 degrees.

The investment will take 38.5 years to double in value.

What is simple interest?

The principal of a loan or the first deposit into a savings account serves as the basis for simple interest. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.

P=$26,000  r=2.6%=0.026

A=2P=2(26,000)=$52,000

A=P+Prt

Substitute the known values

52,000=26,000+(26,000×0.026t)

52,000-26,000=676t

On simplifying, we get t= 38.46 years

Rounded number to the nearest tenth=38.5 years

To learn more about the simple interest from the given link

https://brainly.com/question/20690803

#SPJ1

Answer:

x=2

Step-by-step explanation:

You can put the equation as 7=6x-5

Move equation

12=6x

Divide

x=2

If on the third day, she earns three times as much as the second day. The amount that she earn on the first day is $856.

Let  a = Amount earned on the first day

Let b = Amount earned on the second day

Let c = amount earned on the third day

Let a + b + c =2568,

Hence,

2b + b +3b =2568

6b =2568

b =2568/6

b =428 second day

So,

a = 2b

a =2(428)

a =856 first day

Thus

c = 3b where b = 428

c=3(428)

c=1284 third day

Check:

a +b + c = $2568

856 + 428 + 1284 = $2568

Therefore she earned $856 on the first day.

Learn more about amount earned here: https://brainly.com/question/19671315

#SPJ1

Considering the given translation, the vertex that is not part of the image is:

H(3,0).

The translations to an image are represented as follows:

The vector notation of a translation is given as follows:

{x ± a, y ± a}

In this problem, this notation is:

{3, -3}.

Hence the rule applied to each vertex of the image is:

(x,y) -> (x + 3, y - 3).

The vertices of the original figure are as follows:

( -7, 3), (- 4,6), ( -1, 3) and (-4, 0)

Applying the translation rule, the vertices of the image are given as follows:

(-4, 0), (-1, 3), (2, 0), (-1, -3).

The lone coordinate without a vertex of the image is H(3,0).

The problem is given by the image at the end of the answer.

More can be learned about translations at brainly.com/question/28174785

#SPJ1

Answer:

300/100%=3%

Step-by-step explanation:

sorry, can't explain.Ihave class tomorrow

Joe has eaten 3.6 times more pizza than Jane has eaten.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Joe has eaten 3/5 of the pizza. Jane has eaten 1/6 of a pizza.

Divide the fraction number 3/5 by the fraction number 1/6. Then we have

⇒ (3/5) / (1/6)

Simplify the expression, then we have

⇒ (3/5) x 6

⇒ 3.6

Joe has eaten 3.6 times more pizza than Jane.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

The measure of side AC in the triangle is 2.7 m

From the question, we are to determine the measure of AC

From the given information, we have that ΔADC is similar to ΔCDB

Thus,

We can write that

|DC| / |DB| = |AC| / |CB|

From the diagram,

|DC| = 5.5 m

|DB| = 6.3 m

|AC| = h

|CB| = 3.1 m

Then,

5.5 / 6.3 = h / 3.1

∴ h = (5.5 × 3.1) / 6.3

h = 17.05 / 6.3

h = 2.70635 m

h ≈ 2.7 m

Hence,

The length of AC is 2.7 m

Learn more on Calculating measures of sides in similar triangles here: https://brainly.com/question/25421605

#SPJ1

Answer:

E and X

Step-by-step explanation:

look for the 6 then behind it

Answer:

X and E

Step-by-step explanation:

"axes" is the plural of axis. The x-axis is the flat line marked with numbers and arrows at the ends. Its labelled x on the right side.

The y-axis is the up-and-down line marked with numbers and arrows at the ends, labelled y at the top.

The origin is where the two axes cross.

Points J, E, X and P are all on the axes. But X and E are 5 units from the origin (where the lines cross) J and P are 9 units from the origin.

2, 6 and 10 were labelled on the axes, but each tick mark is an evenly spaced amount. So the 5 was unlabelled, but it is understood to be 5. See image.

The two z values that the middle 67% of the area is bounded by them are -3.999 and 3.999.

In all continuous probability distributions,  it is possible to calculate the percentiles, which are defined as the value of the random variable that leaves an area equal to the percentile to the left of the distribution. When it comes to a central percentile, the area is distributed and the percentile is determined using a table of values or technology.

The area between the two boundaries is 0.67and the remaining area is 0.33  (= 1-0.56) , which is to the left of it.

Look into the z table to find the area between z=-x and mean and z=x and mean. According to z score table z=0.44 has 0.67 of the area to the left of (below) it. That means z=-0.44 has 0.67 of the area to the right of (above) it.

Therefore, the two z values are 0.44  and -0.44.

Learn more about the Standard normal distribution here:

https://brainly.com/question/4079902

#SPJ13

The two z values that the middle 67% of the area is bounded by them are -3.999 and 3.999.

In all continuous probability distributions,  it is possible to calculate the percentiles, which are defined as the value of the random variable that leaves an area equal to the percentile to the left of the distribution. When it comes to a central percentile, the area is distributed and the percentile is determined using a table of values or technology.

The area between the two boundaries is 0.67and the remaining area is 0.33  (= 1-0.56) , which is to the left of it.

Look into the z table to find the area between z=-x and mean and z=x and mean. According to z score table z=0.44 has 0.67 of the area to the left of (below) it. That means z=-0.44 has 0.67 of the area to the right of (above) it.

Therefore, the two z values are 0.44 and -0.44.

Learn more about the Standard normal distribution here:

brainly.com/question/4079902

#SPJ13

The exponential function relating time and money will be y = 200 (1.05)ˣ. Then the correct option is A.

Consider the function:

y = a (1 + r) ˣ

Where x is the number of times this growth occurs, a = initial amount, and r = fraction by which this growth occurs.

Leticia contributes $200 at 5% interest. Assuming that y addresses how much cash after x time spans.

Then the exponential equation is written as,

y = 200(1 + 0.05)ˣ

y = 200 (1.05)ˣ

The exponential function relating time and money will be y = 200 (1.05)ˣ. Then the correct option is A.

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ1

When you have a square pyramid, the plane section that will produce a trapezoid is B. A cut parallel to the vertical axis, directly through the vertical axis

It is defined in geometry as a shape with a square base with equal side lengths and all of the square's joints at the top that are perpendicular to the center of the square.

Geometry, as we know, is the branch of mathematics concerned with the size, shape, and orientation of two-dimensional figures. A trapezoid, also known as a trapezium, is a closed, flat shape with four straight sides and one pair of parallel sides.

It's parallel sides are known as the bases, and its non-parallel sides are known as the legs. A trapezoid can have parallel legs as well.

In this case, the cut parallel to the vertical axis, directly through the vertical axis will produce the trapezoid.

In conclusion, the correct option is B.

Learn more about pyramid on:

https://brainly.com/question/17259700

#SPJ1

Answer:

3

Step-by-step explanation:

first factor out both the numbers

12:2*2*3

39:3*13

find the common ones and multiply them together

they both share only 3, so 3

Answer:

[tex]34.8w+5.2x[/tex] cm

Step-by-step explanation:

If the width of a rectangle measures [tex](9.6w+4.7x)[/tex] cm and its length measures [tex](7.8w-2.1x)[/tex] cm, then the perimeter of the rectangle is:

[tex]2(9.6w+4.7x)+2(7.8w-2.1x)[/tex]

[tex](19.2w+9.4x)+(15.6w-4.2x)[/tex]

[tex]19.2w+9.4x+15.6w-4.2x[/tex]

[tex]19.2w+15.6w+9.4x-4.2x[/tex]

[tex]34.8w+5.2x[/tex]

Answer:

5 bath towels

2 washcloths

Step-by-step explanation:

160 = 2⁵ × 5

64 = 2⁶

HCF= 2⁵ = 32

160 ÷ 32 = 5

64 ÷ 32 = 2

The formula to find the measure of an interior angle of a hexagon is [(n - 2)×180]/n. Hence, option C is correct.

In geometry, a polygon is any enclosed curve made up of a collection of continuous line segments (sides) without any intersections.

Triangles (three sides), polyhedral (four sides), and pentagons are the three simplest polygons (five sides). Convex polygons are those in which none of the elongated sides overlap the polygon; concave polygons are those in which they do.

Equilateral refers to a polygon with equal angles. Equiangular shapes have equal internal angles on all sides. Regular polygons are any equilateral and equiangular polygons.

To know more about polygon:

https://brainly.com/question/28276384

#SPJ1