I have 5 paper clips, 8 push-pins and 12 erasers in my bag. Assuming that the odds for selecting paper clips, push-pins and erasers is the same, what is the probability that the item I pull out of the bag is NOT an eraser?

Answer:

Theoretically, since it has two sides, it's a 50 50, chance. 50%

hope this help you! have a great day

Answer:

y=kx

Step-by-step explanation:

For this example it would be [tex]y=\frac{72}{2} x\\[/tex] or y=36x

Answer:

h = 38

Step-by-step explanation:

[tex] \frac{h + 52}{70} = \frac{9}{7} [/tex]

[tex]h + 52 = \frac{9}{7} \times 70[/tex]

[tex]h + 52 = \frac{9 \times 70}{7} [/tex]

[tex]h + 52 = \frac{630}{7} [/tex]

[tex]h + 52 = 90[/tex]

[tex]h = 90 - 52[/tex]

[tex]h = 38[/tex]

the answer is 38.

Answer:

6.3 yards

Step-by-step explanation:

mathematically, to get the circumference of the circle, we will have to use the formula for the circumference of a circle

we have this as;

C = 2 * pi * r

r is 1 yard

c = 2 * pi * 1 = 2pi yards = 6.3 yards

Answer:

The statements that can be made about the parabola are;

The parabola opens towards the right

The equation of the parabola is (y - 1)² = 16 × (x + 1)

The parabola has a vertex at (-1, 1)

Step-by-step explanation:

The given focus of the parabola is (3, 1)

The directrix of the parabola, x = -5

Therefore, from the location of the directrix (on the x-axis) and the location of the focus relative to the directrix towards the positive direction of the x-axis relative to the directrix, the parabola opens towards the left of the coordinate chart

The general equation of the focus = (h + p, k)

The general equation of the directrix, x = h - p

Comparing with the values of the focus and the directrix of the given parabola, we have;

(3, 1) = (h + p, k)

-5 = h - p

Therefore, we get;

k = 1

h + p = 3...(1)

h - p = -5...(2)

Adding equation (1) to equation (2) gives;

h + h + p - p = 3 + (-5)

2·h = -2

h = -2/2 = -1

h = -1

From equation (1), we get;

h + p = -1 + p = 3

∴ p = 3 + 1 = 4

p = 4

The vertex of the parabola, (h, k) = (-1, 1)

The equation of the parabola in the form (y - k)² = 4·p·(x - h) is therefore, presented as follows;

The equation of the parabola = (y - 1)² = 4 × 4 × (x - (-1))

(y - 1)² = 16 × (x - (-1))

The equation of the parabola is (y - 1)² = 16 × (x + 1).

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 and 2/3 rotations. The little gear full rotation is equal to 1/6 of the big gears rotation. So if the big gear rotates once then its equal to 6 of the small rotations the extra 4 of the 10 rotations then becomes 4/6 of the big gears rotation or if simplified further, 2/3. This is my way of solving these questions

Answer:

5.24 inches

Step-by-step explanation:

We are to find the arc length of the above circle

The formula is given as:

2πr × θ/360

θ = 75°

Radius = 4 inches

Arc length ZY = 2 × π × 4 × (75/360)

= 5.235987756 inches

Approximately = 5.24 inches

Arc length ZY = 5.24 inches

Answer: 5

Step-by-step explanation:

Answer:

A = 53°

AB = 23.3

BC = 18.6

Step-by-step explanation:

2. Given,

C = 90°

B = 37°

AC = 14

Required:

A, AB, and BC

Solution:

✔️A = 180 - (90 + 37) (sum of triangle)

A = 53°

✔️Find AB and BC using trigonometric function:

Reference angle = 37°

Opp = 14

Hyp = AB

Adj = BC

To find AB, apply SOH:

Sin 37 = Opp/Hyp

Sin 37 = 14/AB

AB = 14/Sin 37

AB = 23.262962 ≈ 23.3 (nearest tenth)

To find BC, apply TOA:

Tan 37 = Opp/Adj

Tan 37 = 14/BC

BC = 14/Tan 37

BC = 18.5786275 ≈ 18.6 (nearest tenth)

Hello there!

I used a calculator for this problem, but it shows you the steps involved. The picture is included. I hope this helps!

Answer: 37.5%

Step-by-step explanation:

Percentage = Given Quantity/Total Quantity*100

So here, it will be like: 45/120*100

                                    =0.375*100

                                    =37.5%

Answer:

8.73 units

Step-by-step explanation:

Use the area formula, A = lw

Plug in the are and given side length, and solve for w

A = lw

24 = 2.75w

Divide each side by 2.75

8.73 = w

The other side length of the rectangle is approximately 8.73 units

Answer:

12

Step-by-step explanation:

Answer:

The diameter must pass through the center of the circle.

Step-by-step explanation:

TRUE STATEMENT :

The diameter must pass through the center of the circle.

Answer:

A. Both chords and diameters have two endpoints on a circle. Diameters must intersect the center of a circle.

Step-by-step explanation:

The only way to answer this question is to check the definitions of chord and diameter.

A chord is a segment with endpoints on the circle. In the attached figure the segments CD and GH are chords.

Now, notice that according to the given definition the segment EF is also a chord, but with the special characteristic that the center of the circle, denoted by A, it is on the segment. This ‘‘special’’ chords that contains the center of the circle are called diameter.

Sometimes the diameters are also called the larger of the chords.

Answer:

5 miles

Step-by-step explanation:

2.3 miles south

then 4.5 miles east

a^2 + b^2 = c^2

a = 2.3 miles

b = 4.5 miles

(2.3)^2 + (4.5)^2 = c^2

c^2 = 25.54

[tex]\sqrt{c^2}[/tex] = [tex]\sqrt{25.54}[/tex]

c = 5.0

Answer:

3.00 years

Step-by-step explanation:

Cindy Lou deposited $85 in the bank earning 4.5% interest annually. About how many years will it take her to earn $11.48 in interest?

Your answer

Given data

Principal= $85

Rate= 4.5%

Intterest=  $11.48

The simple interest formula is

SI= PRT/100

11.48= 85*4.5*T/100

cross multiply

11.48*100= 85*4.5*T

1148=382.5T

divide both sides by 382.5

T= 1148/382.5

T= 3.00 years

Hence the time is 3 years

Answer:

30

Step-by-step explanation:

120+30 =150

180-150 =30

Answer:

30

Step-by-step explanation:

Answer:

90 kittens

Step-by-step explanation:

Find the percent of cats that are kittens using the 12 out of 20.

12/20 = 0.6 = 60%

Now, find 60% of 150 cats.

150 • 0.6 = 90 kittens

Answer:

First you should divide 20-12=8 Then *18.75*

That would be the answer

Step-by-step explanation:

Hope This Helps!!! :)

Answer:

A=30cm^2

Step-by-step explanation:

Area of a parallelogram is base X height

in this diagram base = 10 cm

height = 3 cm

3 X 10 = 30

Answer:

30 cm^2

Step-by-step explanation:

Formula of parallelogram = base * height

height = 3

base = 10

10(3) = 30

Answer:

non linear ( ꈍᴗꈍ)( ╹▽╹ )( ╹▽╹ )

Answer:

3.25

Step-by-step explanation:

Divide 104 by 32

Answer:

3.25 or 3 1/4

Step-by-step explanation:

"By what number must I multiply 32 to get 104?"

Divide 104 by 32:  3.25 or 3 1/4

Answer:

Step-by-step explanation:

As two sides are equal so angles opposite to these are also equal, hence

5x-4=x+52

4x=56

X=14

Now,

R=5x-4

R=66

And,Q=x+52

Q=66(we already knew both angles are equal)

Now as sum of all angles of triangle equal 180 so,

66+66+P=180

P=48

Answer:

16.49 feets

Step-by-step explanation:

Using Pythagoras rule, we could find, h the height of the wall ;

Using the relation :

a² = b² + c²

36² = h² + 32²

1296 = h² + 1024

h² = 1296 - 1024

h² = 272

h = √272

h = 16.49 feets

Using t-test, there isn't an enough evidence to support our claim that investment average is $135,000 at α = 0.05.

The one sample t test compares the mean of your sample data to a known value (population mean in our question, i.e. , we wish to compare the sample mean with the population mean). One sample t test should be used when you the population standard deviation is not known or the sample size is very small.

Assumptions of the t-test for the test to be valid:-

Null hypothesis:  μ = $143,260

Alternative hypothesis: μ < $143,260

Calculating test statistic.

n = 30

sample mean = $135,000

sample standard deviation = $30,000

[tex]t_{0} = \frac{sample\ mean - population\ mean}{\frac{standard\ deviation}{\sqrt{sample\ size} } }[/tex]

[tex]t_{0} = \frac{135000 - 143260}{\frac{30000}{\sqrt{30} } }[/tex]

|to| = 1.508

Test criteria:

level of significance = 0.05

t(0.05, 29) = 1.6991

Since, |to| = 1.508 < t(0.05, 29) = 1.6991, null hypothesis cannot be rejected.

Learn more about t-test here

https://brainly.com/question/15870238

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Answer:

32.56

Step-by-step explanation:

I think that's the area.