A group of students were given a spelling test the table shows their mark Mark: 6,7,8,9,10 frequency:5,4,7,10,4 a) work out the range of the marks. B)how many students are in a group C) work out the mean mark of the group

Answer:

  [tex]6y^2\sqrt{10}+12\sqrt{5y}[/tex]

Step-by-step explanation:

Use the distributive property and the rules for forming and simplifying square roots.

  (√a)(√b) = √(ab)

  √(a²b) = a√b

__

  [tex]3\sqrt{10}\cdot(y^2\sqrt{4}+\sqrt{8y})=(3\sqrt{10})(2y^2) +(3\sqrt{10})(\sqrt{8y})\\\\=6y^2\sqrt{10}+3\sqrt{80y}\\\\=6y^2\sqrt{10}+3\sqrt{(4^2)(5y)}\\\\=\boxed{6y^2\sqrt{10}+12\sqrt{5y}}\qquad\text{matches the first choice}[/tex]

Answer:

   a

Step-by-step explanation:

Step-by-step explanation:

a drop in temperature means the temperature will decrease.

That decrease is represented with a negative integer which should be added to the previous temperature.

Answer:

Approximately 13.9 units.

Step-by-step explanation:

First, note that ΔTVW is a right triangle.

Since we are given that ∠UTV is 112°, this means that ∠WTV is 68° because 180-112 is 68°.

Now that we know ∠WTV is 68°, we can use the basic trigonometric ratios to solve for VW. VW is the side opposite ∠WTV. We also know the hypotenuse. So, we would use sine. Recall that:

[tex]\sin(\theta)=opp/hyp[/tex]

Plug in 68° for theta, VW for the opposite, and 15 for the hypotenuse:

[tex]\sin(68)=VW/15\\VW=15\sin(68)\\VW\approx13.9078\approx13.9[/tex]

Answer:

the mean is 54.428571428571<-------( what i think you are looking for )

the median is 51

the modes are 13, 19, 26, 27, 34, 45, 50, 52, 63, 76, 81, 86, 92, 98

Step-by-step explanation:

list all the numbers from greatest to least and the easiest way is to just cross them off left to right until you come up to one or two numbers. if one, that is your median. If two then add them up and divide them by two. We only had one, so the median is 51!

Hope this helped!

Answer:

53.14

Step-by-step explanation:

add all the numbers and divide it by 13

Answer: Rs 1820

Step-by-step explanation:

This is profit, thus is it a percentage increase of 4%. Thus, she sold the saree for 104% of what she bought it for, Rs 1750.  Thus, simply do 1.04*1750 to get 1820.

Hope it helps <3

Answer:

76.9

Step-by-step explanation:

tan(α) = opposite leg/adjacent leg

tan(70°) = x/28

x = 28* tan(70°) = 76.9

Answer:

76.9  or 77

Step-by-step explanation:

tan(α) = opposite leg/adjacent leg

tan(70°) = x/28

x = 28* tan(70°) = 76.9

Answer:

52.0 m

Step-by-step explanation:

The triangle formed by the flagpole, the ground and the 30° line is a right triangle, with x as the required length to be found.

Using the tangent ratio

tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{30}{x}[/tex] ( multiply both sides by x )

x × tan30° = 30 ( divide both sides by tan30° )

x = [tex]\frac{30}{tan30}[/tex] ≈ 52.0 m

Answer:

B: 2²

Step-by-step explanation:

3(7+2²) - 5

PEMDAS says parentheses first

Then we do the order of operations inside the parentheses

Exponents are the first thing inside the parentheses

Answer:

Below

Step-by-step explanation:

To write this function in the standard form simplify it.

● -4(x+2)(x+3)

● -4 (x^2+3x+2x+6)

●-4(x^2+5x+6)

●-4x^2-20x-24

Answer:

y = -4(x+2.5)²+1

Step-by-step explanation:

Standard form is given by f(x) = a(x-h)²+k, where (h,k) is the vertex. We are already given a = -4, and if we graph the equation given, we can see that the vertex is (-2.5, 1). So, we can set up the equation y = -4(x+2.5)²+1.

Answer:

Simply subtract the sum of the the three angles given from 360° in order to get the measure of the fourth angle!

Step-by-step explanation:

[tex]f(x)=-x^2+1[/tex]

Plug in the value [tex]x=-3[/tex] into this function

[tex]f(-3)=-(-3)^2+1[/tex]

[tex]=-(9)+1[/tex]

[tex]=-8[/tex]

Thus, your answer will be D) -8. Let me know if you need any clarifications, thanks!

Answer:

D. -8

Step-by-step explanation:

We are given

f(x)= -x^2+1

and asked to evaluate f(x) for x= -3. Therefore, we must substitute -3 for x in the function.

f(x)= -x^2+1 for x= -3

f(-3)= -(-3^2)+1

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

First, evaluate the exponent: -3^2

-3^2= -3*-3= 9

f(-3)= -(9)+1

f(-3)=-9+1

Next, add -9 and 1

f(-3)= -8

When f(x)= -x^2+1 is evaluated for x= -3, the result is -8. Therefore, the correct answer is D. -8

Hey there!

We see that the first factor is 82.17, which is about 80. Then, we have 7.32, which is about 7.

80 times 7 is just doing 8 times 7 but putting a zero on the end!

So, 80 times 7 is 560, so our best estimate is A.560

Have a wonderful day!

Answer:

yeah....same!

Step-by-step explanation:

I'm having the same problem I thought it was just me

Answer: 34°

Step-by-step explanation:

The Arc formed by segment AC:

Total measure of an arc = 360°

Measure of Major arc AC = (360° - measure of minor arc)

Minor arc = 146°

THEREFORE,

Major arc AC = (360° - 146°) = 214°

A° = B° = (214° - 146°) / 2 ( tangent - tangent theorem)

Angle formed by tangent AB and BC = difference between major and minor arcs divided by 2 : (Major arc - minor arc) / 2

(214 - 146)° / 2 = 68° / 2 = 34°

The measure of ∠ABC as shown in the circle is 34°.

A circle is the locus of a point such that all the points are equidistant from a fixed point known as the center.

∠OCB and ∠OAB = 90° (angle between a tangent and radius)

∠OCB + ∠OAB + ∠COA + ∠CBA = 360° (angles in  a quadrilateral)

90 + 90 + 146 + ∠CBA = 360

∠CBA = 34°

The measure of ∠ABC as shown in the circle is 34°.

Find out more on Circle  at: https://brainly.com/question/22965557

Answer:

  see below

Step-by-step explanation:

You can work this based only on the domain. You don't need to figure the volume, though you can if you want to check the answer further.

x represents the length of the box, which has a restriction that it can be no greater than 6 ft. This tells you x ≤ 6. However, the width is 5 ft shorter than the width, so its value is x-5. But we know the width must be greater than zero:

  0 < x -5

  5 < x

So, the constraints on the domain of x are ...

  5 < x ≤ 6 . . . . . . only matches the last choice, (5, 6]

___

Checking the volume

The height is 3 more than the width, so the volume is ...

  V = LWH = (x)(x -5)(x -5 +3) = x(x -5)(x -2) = x(x^2 -7x +10)

  V = x^3 -7x^2 +10x

Answer:

260%

Step-by-step explanation:

For the coffee;

cost price ([tex]C_{P}[/tex]) = $5/kg

selling price ([tex]S_{P}[/tex]) = $18/kg

Percentage profit (%P) = [tex]\frac{S_P - C_P}{C_P} * 100%[/tex] %

Substitute the right values into the above;

%P = [tex]\frac{18 - 5}{5} * 100%[/tex] %

%P = [tex]\frac{13}{5} * 100%[/tex] %

%P = 260%

Therefore, the percentage profit compared to the original cost of the coffee is 260%

Answer:

The board game store

Step-by-step explanation:

Just divide the store price by 4 and online by 5

Answer:

Toy store

Step-by-step explanation:

Let's find the unit rates for the toy store and the online store. To find the unit rate, divide the price by the number of board games.

price/board games

Toy Store

price/board games

The toy store sells 4 board games for $25.84

$25.84 / 4 board games

25.84/5

6.46

Online Store

price/ board games

The online store sells 5 board games for $32.15

$32.15 / 5 board games

32.15/5

6.43

At the toy store, a board game costs $6.46. Online, it costs $6.43.

6.46 is greater than 5.43, therefore, the toy store has the higher price for a board game.

Answer:

19

Step-by-step explanation:

The zebra is the 10th fastest, so there are 9 zebras that are faster.

It's also the 10th slowest, so there are 9 zebras that are slower.

The total number of zebras is therefore 9 + 1 + 9 = 19.

Answer:

Step-by-step explanation:

a² - b² = (a +b)(a - b)

a = 525  & b  = 475

525² - 475² = (525 + 475) (525 - 475)

                   =1000 * 50

                   = 50,000

The value of (525)² - (475)² using the identity (a²- b²) = (a+b) (a-b) is 50000.

The expression given is:

(525)² - (475)²

The above expression looks similar to the expression (a²- b²).

The simplified form of the expression (a²- b²) is (a+b) (a-b).

So, (525)² - (475)² can be written as:

(525)² - (475)² = (525+475) (525-475)

(525)² - (475)² = 1000 * 50

(525)² - (475)² = 50000

Therefore, the value of (525)² - (475)² using the identity (a²- b²) = (a+b) (a-b) is 50000.

To get more about algebraic identities visit:

https://brainly.com/question/1528309

Answer:

The correct option is;

More people prefer a beach vacation and a ski vacation than an adventure vacation

Step-by-step explanation:

From the data in the sample;

Table of values,                       Sample

Vacation,                               A                 B

Adventure,                            6                  1

Beach,                                   5                  6

Cruise,                                   70                72

Ski,                                         19                 21

Total,                                   100                 100

Therefore, we have that each member made or selected only on vaction option which gives;

The number of members that prefer a beach vacation and a ski vacation are;

Sample A  = 5 + 19 = 24 members

Sample B =  6 + 21 = 27 members

The number of members that prefer an adventure vacation are;

Sample A  = 6 members

Sample B =  1 members

Which shows that more people prefer a beach vacation and a ski vacation than an adventure vacation.

Answer:

The correct option is;

More people prefer a beach vacation and a ski vacation than an adventure vacation

Step-by-step explanation:

I just did the quiz .

Answer:

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).

Step-by-step explanation:

Hope you understand

Answer:

10

Step-by-step explanation:

nCr = 5!/(3! × (5 - 3)!)

= 10

123/ 124/ 125/ 134/ 135/ 145/ 234/ 235/ 245/ 345

The formula for combinations is generally n! / (r! (n -- r)!), where n is the total number of possibilities to start and r is the number of selections made. In our example, we have 52 cards; therefore, n = 52.

Answer: get 2 more frames

Step-by-step explanation:

Answer: probability of getting two 5s =0.04

probability of getting at least one 5 =0.36

probability of getting a total score greater than 5 =0.6

Step-by-step explanation:

Total outcomes on 1 spinner = 5

Then , total outcomes of spinning it 2 times=  [tex]5\times5 = 25[/tex]

Number of outcomes for getting two 5's = 1

Then, the probability of getting two 5s [tex]=\dfrac{\text{Favorable outcomes of getting two 5's }}{\text{Total outcomes}}[/tex]

[tex]=\dfrac{1}{25}=0.04[/tex]

Number of outcomes for getting at least one 5 [ {(1,5),(2,5),(3,5),(4,5),(5,5), (5,1), (5,2), (5,3), (5,4)} ] =9

Then, the probability of getting at least one 5[tex]=\dfrac{\text{Favorable outcomes of getting at least one 5 }}{\text{Total outcomes}}[/tex]

[tex]=\dfrac{9}{25}=0.36[/tex]

Number of outcomes for getting a total score of 5, [ {(1,4),(4,1),(2,3),(3,2)} ] =4

Then, the probability of getting a total score of 5,[tex]=\dfrac{\text{Favorable outcomes of getting a total score of 5 }}{\text{Total outcomes}}[/tex]

[tex]=\dfrac{4}{25}[/tex]

Number of outcomes for getting a total score greater than 5 [ {(1,5),(5,1),(2,4),(4,2),(2,5), (5,2), (3,4),(4,3), (3,5), (5,3), (3,3), (4,5), (5,4), (4,4), (5,5)} ] =15

Then, the probability of getting a total score greater than 5,[tex]=\dfrac{\text{Favorable outcomes of getting a total score greater than 5 }}{\text{Total outcomes}}[/tex]

[tex]=\dfrac{15}{25}=\dfrac{3}{5}=0.6[/tex]

Answer:

Answers are below.

Step-by-step explanation:

Sin θ = Opposite / Hypotenuse

Cos θ = Adjacent / Hypotenuse

Tan θ = Opposite / Adjacent

1) sin (60) = 16/x

x = 16/(sin 60)

x ≈ 18.46

2) cos (45) = x/13

13 cos(45) = x

x ≈ 9.19

3) tan (53) = 10/x

x = 10/tan(53)

x ≈ 7.54

4) tan (21) = x/12

12 tan(21) = x

x ≈ 4.61

Answer:

360°

Step-by-step explanation:

According to the properties of parallel lines, the following deductions can be made:

<a and <c are exterior angles of same side, therefore they are supplementary.

Thus,

m<a + m<c = 180°

<b and <d, are alternate interior angles, therefore, they are supplementary.

Thus, m<b + m<d = 180°.

The total numbers of degrees of a, b, c, d will all sum up to give 360°.

Answer:

1st one= B 25 cents

2nd one= D 2 miles

Step-by-step explanation:

1.

8x3=24

6/24=25

= 25 cents

2.

1.6 km= 1 mile

so 1/2 of a mile =

0.8 km

1/4 of an hour = 15 minutes

0.8km= 15 minutes

15x3= 45  minutes

0.8km x 3= 2.4km

2.4km = 2 miles

hope it helps hunney xx

Answer:

Step-by-step explanation:

it is ASA

by definition if two pairs of corresponding angles and the side between them are known to be congruent, the triangles are congruent. This shortcut is known as angle-side-angle (ASA)

Answer:

216

Step-by-step explanation:

Find each angle's value. This is a pentagon, so 360/5 = 72. Now, to get from A to D, you have to go 3 spaces counter-clockwise. This'll get you 72 x 3 = 216.

Answer:

216

Step-by-step explanation:

Find each angle's value. This is a pentagon, so 360/5 = 72. Now, to get from A to D, you have to go 3 spaces counter-clockwise. This'll get you 72 x 3 = 216.

Answer:

Step-by-step explanation:

From the question ( 4x + 7)° and [5(x - 4)]° are vertically opposite

Since vertically opposite angles are equal we can equate them to find x

That's

4x + 7 = 5(x - 4)

4x + 7 = 5x - 20

Group like terms

5x - 4x = 20 + 7

Hope this helps you