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Lena [83]
3 years ago
11

What is the probability that a marble chosen at random is

Mathematics
2 answers:
Rufina [12.5K]3 years ago
5 0

Answer:

6/11

Step-by-step explanation:

Ed2020

Brums [2.3K]3 years ago
4 0

Answer:

P=\frac{6}{11}

Step-by-step explanation:

The probability can be defined as the ratio between the possible events and the total number of outcomes.

In this case, according to the image attached, the total number of outcomes is 11, because they are 11 marbles in total.

Now, the specific event is all shaded marbles or labeled with a multiple of 3. With this specific characteristics 6 marbles, because there are 5 shaded marbles and 6 is a multiple of 3. So, the possible events are 6.

Therefore, the probability is

P=\frac{6}{11}

The right answer is the last choice.

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Triangle J K L is shown. Angle J L K is 105 degrees. The length of J K is 4.7 and the length of J L is 2.7.
cluponka [151]

Answer:

The approximate measure of angle K is 34°

Step-by-step explanation:

In ΔJKL

∠L = 105°

JK = 4.7

JL = 2.7

Sine Rule:

\frac{SinA}{a} = \frac{SinB}{b}= \frac{SinC}{c}

So,\frac{SinL}{JK} = \frac{SinK}{JL}\\\frac{SinL}{4.7} = \frac{SinK}{2.7}\\\frac{Sin 105}{4.7} = \frac{SinK}{2.7}\\\frac{Sin 105 \times 2.7}{4.7} = SinK\\\frac{(0.9659 \times 2.7)}{4.7} = Sin K\\\frac{2.60793}{4.7} = Sin K\\0.5549 = Sin K\\Sin^{-1}(0.5549)= K\\K = 33.70

K ≈ 34°

So, Option B is true

Hence The approximate measure of angle K is 34°

5 0
2 years ago
Can someone do this fast ? I need it for tomorrow
gregori [183]

Answer:

Step-by-step explanation:

hg(x) means you multiply h(x) times g(x) and then we will set it equal to 3x^2+x-1.

hg(x) = x^2(x+2) which simplifies to

x^3+2x^2. Now set that equal to 3x^2+x-1:

x^3+2x^2=3x^2+x-1 and get everything on the same side and factor:

x^3-x^2-x+1=0. Factor by grouping:

(x^3-x^2)-(x+1)=0 and factor out what's common in each set of ( ):

x^2(x-1)-1(x-1)=0 which factors out to

(x^2-1)(x-1)=0. But x^2-1 factors somoe to:

(x + 1)(x - 1)(x - 1) = 0 So the solutions for this are

x = -1, 1

7 0
2 years ago
Which EST graph correctly represents the information on the table ​
garik1379 [7]

Answer:

  the first one

Step-by-step explanation:

A graph showing the Earliest Start Times (EST) for project tasks is computed left to right based on the predecessor task durations. For dependent tasks, the earliest start time will be the latest of the finish times of predecessor tasks.

The first graph appears to appropriately represent the table values, using edges to represent task duration, and bubble numbers to represent start times.

The second graph does not appropriately account for duration of predecessor tasks.

The third graph seems to incorrectly compute task completion times (even if you assume that the edge/bubble number swap is acceptable).

3 0
3 years ago
Because of variability in the manufacturing process, the actual yielding point of a sample of mild steel subjected to increasing
Alex73 [517]

Answer:

modify tge production

Step-by-step explanation:

7 0
3 years ago
On a coordinate plane, a rectangle is shown with points S (4, negative 4), R (4, negative 10), Q (negative 7, negative 10), and
Wittaler [7]

Answer:

The coordinates of the image of vertex P after reflection is  (-7, 4)

Step-by-step explanation:

Given that we are to reflect the point P across the x-axis, we have;

Reflection of a point across the x-axis gives;

When a point is reflected across the x axis, the y-coordinate changes to the opposite sign while the x-coordinate remains unchanged  such that (x, y) becomes (x, -y)

Therefore, given that the point P = (-7, -4), we have;

Coordinates of point P before reflection Reflection = (-7, -4), coordinates of point P after reflection Reflection P' = (-7, 4).

7 0
2 years ago
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