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AleksAgata [21]
3 years ago
8

Suppose you have an equal sided spinner that is numbered 1 thru 5 and another spinner with 4 equal sections with the colors red,

blue, yellow and green. What is the P (spinning a number less than 4 and landing on red)? *
Mathematics
2 answers:
DanielleElmas [232]3 years ago
8 0

Answer:6

778

Step-by-step explanation:

hh8yyyyyyyyyyyyyy

Lady bird [3.3K]3 years ago
4 0
3/20

First you find the probability of spinning a number less than 4. This does not include 4 as it does not say less than it equal to. There are 3 numbers less than 4 and there are 5 numbers in total so your probability here is 3/5.

Then, you find the probability of it landing on red. There are 4 sections and red is 1 of them, meaning the probability of this is 1/4.

When finding the probability that two things both happened, you need to multiply these together.

3/5 x 1/4 = 3/20, so I think your answer is 3/20.

I did get a little confused myself over whether it would be 3/4 or 1/4 but came to the conclusion it would be 1/4. Thought I’d let you know just in case.

I hope this helps :)
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In circle A, ∠BAE ≅ ∠DAE. Circle A is shown. Line segments A B, A E, and A D are radii. Lines are drawn from point B to point E
xeze [42]

Answer:

The missing figure is attached down

The length of BE is 27 units ⇒ 3rd answer

Step-by-step explanation:

In circle A:

  • ∠BAE ≅ ∠DAE
  • Line segments A B, A E, and A D are radii
  • Lines are drawn from point B to point E and from point E to point D to form secants B E and E D
  • The length of B E is 3 x minus 24 and the length of E D is x + 10

We need to find the length of BE

∵ AB and AD are radii in circle A

∴ AB ≅ AD

In Δs EAB and EAD

∵ ∠BAE ≅ ∠DAE ⇒ given

∵ AB = AD ⇒ proved

∵ EA = EA ⇒ common side in the two triangles

- Two triangles have two corresponding sides equal and the

   including angles between them are equal, then the two

   triangles are congruent by SAS postulate of congruence

∴ Δ EAB ≅ Δ EAD ⇒ SAS postulate of congruence

By using the result of congruence

∴ EB ≅ ED

∵ EB = 3 x - 24

∵ ED = x + 10

- Equate the two expressions to find x

∴ 3 x - 24 = x + 10

- Add 24 to both sides

∴ 3 x = x + 34

- Subtract x from both sides

∴ 2 x = 34

- Divide both sides by 2

∴ x = 17

Substitute the value of x in the expression of the length of BE to find its length

∵ BE = 3 x - 24

∵ x = 17

∴ BE = 3(17) - 24

∴ BE = 51 - 24

∴ BE = 27

The length of BE is 27 units

8 0
3 years ago
Read 2 more answers
Pleasee help mee ;w;
Nuetrik [128]

Answer:

  • x = 13

Step-by-step explanation:

It is assumed PQS and RQS are similar triangles.

<u>The ratio of corresponding sides is equal:</u>

  • PS/RS = PQ/RQ

<u>Substitute side lengths and solve for x:</u>

  • 15/(3x - 4) = 21/(5x - 16)
  • 15(5x - 16) = 21(3x - 4)
  • 5(5x - 16) = 7(3x - 4)
  • 25x - 80 = 21x - 28
  • 25x - 21x = 80 - 28
  • 4x = 52
  • x = 52/4
  • x = 13
8 0
3 years ago
Read 2 more answers
Graph the line that represents the equation--<br> y= -2/3x+1
son4ous [18]

Answer:

The graph in the attached figure

Step-by-step explanation:

step 1

Find the intercepts

we have

y=-\frac{2}{3}x+1

<em>Find the y-intercept</em>

The y-intercept is the value of y when the value of x is equal to zero

For x=0

y=-\frac{2}{3}(0)+1

y=1

The y-intercept is the point (0,1)

<em>Find the x-intercept</em>

The x-intercept is the value of x when the value of y is equal to zero

For y=0

0=-\frac{2}{3}x+1

x=1.5

The y-intercept is the point (1.5,0)

step 2

Graph the line

To graph the line plot the intercepts and join the points

see the attached figure

8 0
3 years ago
Miss Berk has 8 pairs of pajama pants and 3 pairs of slippers. Three pairs of the pajama pants are Harry Potter themed and one p
shusha [124]

The probability that both items will be Harry Potter themed is 1/8.

<u>Step-by-step explanation:</u>

Total Number of pajama pants n(P) =8

Total number of slippers n(S)= 3

Number of Harry Potter themed Pajama pants n(H.P)=3

Number of Harry Potter themed slippers n(H.S)=1

We have to determine the probability of selecting pants and slippers that are both Harry Potter themed.

If two events A and B are independent, then the probability of A and B is given by

P(A and B)=P(A)*P(B)

Here the events selecting Harry potter themed pants and selecting harry Potter themed slippers are independent.

P(Harry\ Potter\ pants)=\frac{n(H.P)}{n(P)}

                                       =\frac{3}{8}

P(Harry\ Potter\ slippers)=\frac{n(H.S)}{n(S)} \\                                         =1/3

P(Harry\ Potter\ pants\ and\ Harry\ Potter\ slippers)=P(Harry Potter pants)\times P(Harry potter slippers)

=\frac{3}{8}\times  \frac{1}{3} =\frac{1}{8}

Hence probability of selecting Harry potter themed pants and Harry potter themed slippers is 1/8

3 0
4 years ago
Read 2 more answers
Look at the figure below:
Whitepunk [10]

Answer:

The correct option is

If two sides and one included angle are equal in triangles PQS and PRS, then their third sides are equal.

Step-by-step explanation:

Given:

RS ≅ SQ

∠PSR ≅ ∠PSQ = 90°

To Prove:

point P is equidistant from points R and Q

i.e PR ≅ PQ

Proof:

In  ΔPSR  and Δ PSQ

PS ≅ PS                         ……….{Reflexive Property}

∠PSR ≅ ∠PSQ = 90°     …………..{Measure of each angle is 90° given}

RS ≅ QS                         ……….{Given}

ΔPSR  ≅ ΔPSQ  ….{By Side-Angle-Side Congruence test}

∴ PR ≅ PQ .....{Corresponding Parts of Congruent Triangles}

i.e point P is equidistant from points R and Q    .......Proved

6 0
3 years ago
Read 2 more answers
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