Assessment started: undefined.
Item 1
Jada is studying butterflies. These are the wingspans of the butterflies she's collected, rounded to the nearest quarter inch.

3/4 ,1, 3/4 , 1 1/2 , 1 1/4 , 2, 1, 1 3/4 , 1 1/4 , 1 1/2 , 3/4

Create a line plot to display the data.

Answer:

I'm not sure but I think is 31.4

Step-by-step explanation:

multiply 15.70 twice

Answer:

60 inches

Step-by-step explanation:

The length of shorter piece is = 1/5 × 300 = 60 inches

Answer: 290 cubic meters

Step-by-step explanation: First, find the volume of each figure. 3 x 6 x 5 = 90, and 5 x 5 x 8 = 200. 90 + 200 = 290

Answer:

20√2 cm

Step-by-step explanation:

The required perimeter of the square is 20√2 cm.

Answer:

P = 3/11

Step-by-step explanation:

There are:

6 red marbles

4 blue marbles

2 yellow marbles.

So there are a total of 12 marbles in the bag, such that each one has the same probability of being randomly picked.

We want to find the probability that the first pick is not yellow (so it can be either blue or red), and the second pick is a blue marble.

Now there are two cases.

The first marble is red and the second blue

the first marble is blue and the second blue

We need to find the probability in each case.

The probability that the first marble is red is equal to the quotient between the number of red marbles (6) and the total number of marbles (12)

p = 6/12

Now, for the second draw, we need a blue marble, the probability in this case is the quotient between the number of blue marbles (4) and the total number of marbles in the bag (now there are 11, because one is already taken)

q = 4/11

The joint probability is equal to the product of the individual probabilities, then:

P₁ = p*q = (6/12)*(4/11) = 2/11

And for the other case, we draw two blue marbles:

For the first draw, the probability is:

p = 4/12

And for the second draw, now there are 3 blue marbles and 11 total marbles, then the probability is:

q = 3/11

The joint probability is:

P₂ = (4/12)*(3/11) = 1/11

The total probability is then:

P = P₁ + P₂ = 2/11 + 1/11 = 3/11

Answer: B

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

78/2 = 39

Answer:

A and D

Step-by-step explanation:

Answer:

A. 2 + (−2) = 2 - 2= 0, true.

B. (−3) + (−4) = - 3 - 4 = -7 is negative, False

C. −2 − (− 2) = -2 + 2 = 0, neither positive nor negative, false.

D. 5 + (−2) = 5 - 2 = 3,is positive true.

E. 7 − (−10)= 7 + 10 = 17  is psoitive, false

options : A, D

Answer:

Mostly likely 12

Step-by-step explanation:

The higher the age, the more pages...

After a age you can see it goes up half of a row in the pages...

It is most likely 18 or 12...

More likely 12

Answer:

x = 54, y = 63

Step-by-step explanation:

117° and the left base angle are adjacent and sum to 180°

base + 117° = 180° ( subtract 117° from both sides )

base = 63°

Since the triangle is isosceles ( congruent legs ) then the 2 base angles are congruent , so y = 63

and x = 180 - (63 + 63) ← sum of angles in a triangle

x = 180 - 126 = 54

Answer:

No

Step-by-step explanation:

For a proportional relationship :

y = kx

Where , k = constant of proportionality

Taking the first set of data:

x = 50 ; y = 10

10 = 50k

k = 10/ 50 = 1/5

Hence, the proportional equation or relation is :

y = 1/5x

Check if this is true for other data points on the data :

Taking the second data point :

x = 85 ; check if y will be 20

From :

y = 1/5x

y = 1/5*85

y = 85/5

y = 17

Since ;

y value from the equation isn't the same as that in the table, then the table does not show a proportional relationship.

Answer:

16.9

Step-by-step explanation:

Answer:

y = 5√3

x = 10√3

Step-by-step explanation:

From the given sides

Adjacent = 15

Opposite = y

Hypotenuse = x

Angle of depression = 30degree

Using the SOH CAH TOA identity

tan theta = opp/adj

tan 30 = y/15

y = 15tan30

y = 15(1/√3)

y = 15√3/3

y = 5√3

Similarly

cos theta = adj/hyp

cos 30 = 15/x

x = 15/cos30

x = 15 /√3/2

x = 30/√3

x = 30√3/3

x = 10√3

The volume of the cube not filled by the sphere is 3811.209. Option A is the correct.

The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic m.

The volume of sphere is found as;;

[tex]\rm V_{sphere}= \frac{4}{3} \pi r^3 \\\\ V_{sphere}= \frac{4}{3} \times 3.14 (10)^3 \\\\ V_{sphere}= 4188.79 \ cm^3[/tex]

The volume of cube is found as;

Volume of cube = Length x width x height

Volume of cube =20 x 20 x 20

Volume of cube = 8000

The volume of the cube not filled by the sphere is found by subtract the volume of the cube by the volume of the sphere.

V=8000 - 4188.790205

V = 3811.209

The volume of the cube not filled by the sphere is 3811.209.

Hence, option A is the correct.

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Answer:

-17 9/26 - > -17.35 , -17.3 with the mark over  ,- [tex]\sqrt{300}[/tex]   , 172/10

Step-by-step explanation:

Convert all of these into decimals

- [tex]\sqrt{300}[/tex]  -> -17.32

-17 9/26 - > -17.35

172/10 -> 17.2

-17.3 with the mark over 3 is  ->- 17.3333

Now arrange

-17 9/26 - > -17.35 , -17.3 with the mark over  ,- [tex]\sqrt{300}[/tex]   , 172/10

Answer:

C(n) = 12 + 1.5(n – 1)

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

P(number greater than 4) = 1/6(50)

In numbers 1 to 6 only 5 and 6 are greater than 4.

Hence, the probability that she will get a number greater than 4 is 2 out of 6 or 2/6.

________________________________

The probability that she'll get more than 4 if she throws the dice 50 times–

________________________________

Hence, your answer will be–

Hence, your answer will be–P( Number greater than 4 ) = 2/6 (50)

Answer:

(x + 8)^2

Step-by-step explanation:

f(x) ----> f(x + 8)

Answer:

I believe the answer is 8.16 pardon me if it's wrong.

Answer:

8.18

Step-by-step explanation:

First, note that 8.175 has two parts. The integer part to the left of the decimal point and the fractional part to the right of the decimal point:

Integer Part: 8

Fractional Part: 175

To round 8.175 to the nearest hundredth means to round the numbers so you only have two digits in the fractional part.

We use the following rules to round 8.175 to the nearest hundredth:

A) If the last digit in the fractional part of 8.175 is less than 5, then simply remove the last the digit of the fractional part.

B) If the last digit in the fractional part of 8.175 is 5 or more and the second digit in the fractional part is less than 9, then add 1 to the second digit of the fractional part and remove the third digit.

C) If the last digit in the fractional part of 8.175 is 5 or more and the second digit in the fractional part is 9, and the first digit in the fractional part is less than 9, then add 1 to the first digit in fractional part and make the second digit in fractional part 0. Then remove the third digit.

D) If the last digit in the fractional part of 8.175 is 5 or more and the second digit in the fractional part is 9, and the first digit in the fractional part is 9, then add 1 to the integer part and make the fractional part 00.

With 8.175, rule B applies and 8.175 rounded to the nearest hundredth is:

8.18

Answer:

The height is of a cone is 18 cm

Answer:

12 cm

Step-by-step explanation:

Using Pythagoras theorem

Square of Height+Square of Radius=Square of Slant height

H^2+5^2=13^2

H^2+25=169

H^2=169-25

=144 cm

H=12 cm

Answer: A goverment by people

Step-by-step explanation:

Answer: The distance between (5,3),(1,0) is 25units square.

Step-by-step explanation:

So, I usually plot the points, and conect them first.

And then I draw a right triangle, so draw two line that conect to the line that we need to find the distance, and form a triangle. Make sure that the line from point (5,3)(1,0) is the Pythagorean triples.

Next, you count the units of the two line that makes a right angle. which is 4 units for the first line, and 3 units for the second.

Thirdly, you plug the numbers into the Pythagorean equation, which is a^2+b^2=c^2 (plug it into a and b, it doesn't matter which number for which letter)

4^2+3^2=c^2

16+9=c^2

25=c^2

[tex]\sqrt{25}[/tex] = [tex]\sqrt{c}[/tex]

c=25

My explanation is kinda confusing, sorry about that.

An isosceles triangle is a triangle that has two sides and thus two angles the same amount. Triangles have 180 degrees, so if we subtract:

180 - 132 = 48, we do not have enough degrees to have a second 132° angle That leaves the 48° to be the angles to be split:

48 / 2 = 24°

So your answer is going to be 130-25-25 angle triangle.

*Just for reference, an example of an isosceles triangle having two possible answers? Let's say the given degree is 50o. Thus it could be one of the mirrored degrees (80-50-50), or it could be the non-mirrored angle (50-65-65)

Answer:

The other two angles of isosceles triangle will be 24° each.

Step-by-step explanation:

An isosceles triangle is a triangle that has two sides and thus two angles opposite to the equal sides will be same .

Also Triangles have sum of all angle to be 180° , so if we subtract the given angle we get

180° - 132° = 48°,  

So the total  sum of angle remaining for other two angles  will be of 48°

Therefore the sum of each angle will be

48° / 2 = 24°

So all angles of the  isosceles triangle will be 132°-24°-24°angle triangle.

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60 jdfjbdjdjdjd ah inebauwkwhiwiwnais

Answer:

60

Step-by-step explanation:

Answer:

5 N towards north I think

Step-by-step explanation: