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Dmitriy789 [7]
4 years ago
13

A coin is tossed, and a standard number cube is rolled. What is the probability that the coin shows heads and the number cube sh

ows an even number?
A 1/6
B 1
C 1/4
D 1/2
Mathematics
1 answer:
Ainat [17]4 years ago
7 0
So,

Since this is independent probability, the probability of the event above occurring is:
(probability\ of\ heads)(probability\ of\ even\ no.)

First, the probability of landing on heads.
\frac{1}{2}

Now, the probability of rolling an even number.
<u />\frac{3}{6}\ or\  \frac{1}{2}

Plug it into the equation.
\frac{1}{2} * \frac{1}{2} =  \frac{1}{4}

The correct option is C.
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A large set of data was collected and analyzed for the majors of college seniors in the US From the scatter plots produced the f
algol [13]

Using linear function concepts, it is found that the correct statements are given by:

  • The number of biology degrees increases by about 2,414 each year after 2000.
  • About 73,000 students graduated with degrees in psychology in 2000.
  • In 2000, more students graduated with psychology degrees than biology degrees.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value.

In this problem, the number of college seniors who graduated with a bachelor's degree in psychology, in t years after 2000, is modeled by:

P(t) = 2,376t + 73,219.

For biology, the amount is given by:

B(t) = 2,414t + 56,545.

Then, the true statements are given by:

  • The number of biology degrees increases by about 2,414 each year after 2000.
  • About 73,000 students graduated with degrees in psychology in 2000.
  • In 2000, more students graduated with psychology degrees than biology degrees.

More can be learned about linear function concepts at brainly.com/question/24808124

8 0
2 years ago
Triangle ABC is the pre-image and triangle DFE is the image.
anzhelika [568]

Answer:

Scale factor = ½

Step-by-step explanation:

The original image is the preimage = ∆ACB

The new image is the image = ∆DFE

The scale of factor of dilation = image/preimage = DF/AC

DF = 6 cm (given)

AC = 12 cm (given)

Plug in the values into the equation to find the scale factor of dilation:

Scale factor = 6/12

Scale factor = ½

6 0
3 years ago
A dime has a radius of 8 1/2 millimeters. Find the circumference of a dime to the nearest tenth.
masya89 [10]
Dear Ffw299, we can find the circumference of a dime using the formula C=2πr. 2x3.14x8.5=59.5 millimeters in circumference.
8 0
4 years ago
Gimme the radius circumference and area<br> plsss i beg
Gala2k [10]

Answer:

radius = 5.75 units

circumference = 36.11 units

Area = 103.81625 square units

Step-by-step explanation:

Radius = 11.5 / 2 = 5.75

Circumference = 11.5 x 3.14 = 36.11

Area = 5.75 x 5.75 x 3.14 =

33.0625 x 3.14 =

103.81625 units square

This is all if pi = 3.14

Hope that helps!

4 0
3 years ago
Which of the following polygons has five lines of symmetry?
Ivan
Pentagons are and example.
6 0
3 years ago
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