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Artyom0805 [142]
3 years ago
5

A penny, a nickel, a dime, and a quarter are tossed. What is the probability of obtaining at least one head on the tosses?

Mathematics
1 answer:
Anton [14]3 years ago
5 0
The penny can land two ways. The nickel can land two ways. The dime can land two ways. The quarter can land two ways. The total number of ways that all of them can land is (2x2x2x2)= 16 possibilities. Only ONE result shows no heads . . . TAIL-TAIL- TAIL-TAIL. All of the other 15 possibilities include at least one HEAD. So the probability is 15/16 = 93.25% .
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Find the angle, in degrees between 0 and 360∘, which intersects the unit circle at the point (−1/2,3/√2).
Vlada [557]

Answer:

it approx 103.2 degree

Step-by-step explanation:

s=90+tan^-1(1÷3√2)

I add 90 base on the coordinate , taking the centre of the circle place at origin

6 0
3 years ago
200 students in a high school senior class are surveyed about what majors they intend to declare in college. Of the 200 students
True [87]

Answer:

  • <u><em>P(M) = 0.4</em></u>

Explanation:

<u>1. Build a two-way frequency table:</u>

To have a complete understanding of the scenary build a two-way frequency table.

  • <u>Column and rows:</u>

                                  Major in math    No major in math  Total

Major in CS

No major in CS

Total

  • <u>200 students:</u>

                                  Major in math    No major in math  Total

Major in CS

No major in CS

Total                                                                                      200

  • <u>80 plan to major in mathematics:</u>

                                  Major in math    No major in math  Total

Major in CS

No major in CS

Total                              80                                                   200

  • <u>100 plan to major in computer science</u>:

                                  Major in math    No major in math  Total

Major in CS                                                                           100

No major in CS

Total                              80                                                   200

  • <u>30 plan to pursue a double major in mathematics and computer science</u>:

                                  Major in math    No major in math  Total

Major in CS                  30                                                      100

No major in CS

Total                              80                                                    200

  • <u>Complete the missing numbers by subtraction</u>:

                                  Major in math    No major in math  Total

Major in CS                   30                              70                 100

No major in CS                                                                     100

Total                              80                             120                200

                                  Major in math    No major in math  Total

Major in CS                   30                              70                 100

No major in CS             50                              50                 100

Total                              80                             120                200

<u>2. What is P(M), the probability that a student plans to major in mathematics?</u>

  • P(M) = number of students who plan to major in mathematics / number of students

  • P(M) = 80 / 200 = 0.4
7 0
3 years ago
Please help! <br><br> If f (x) = 1/9 x-2 what is f^-1(x)
saw5 [17]

Answer:

Its C or the 3rd option

(9x+2)

Step-by-step explanation:

You have to inverse the equation meaning do everything the opposite so for example, add the 2 to the other side of the equation

4 0
3 years ago
Factor this trinomial.<br> x2 + 2x-3
andre [41]

Answer:(x-1) (x+3)

Step-by-step explanation:

Hope this helps!

4 0
3 years ago
A study was designed to compare the attitudes of two groups of nursing students towards computers. Group 1 had previously taken
trasher [3.6K]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Group 1:

μ1 = 59.7

s1 = 2.8

n1 = sample size = 12

Group 2:

μ2 = 64.7

s2 = 8.3

n2 = sample size = 15

α = 0.1

Assume normal distribution and equ sample variance

A.)

Null and alternative hypothesis

Null : μ1 = μ2

Alternative : μ1 < μ2

B.)

USing the t test

Test statistic :

t = (m1 - m2) / S(√1/n1 + 1/n2)

S = √(((n1 - 1)s²1 + (n2 - 1)s²2) / (n1 + n2 - 2))

S = √(((12 - 1)2.8^2 + (15 - 1)8.3^2) / (12 + 15 - 2))

S = 6.4829005

t = (59.7 - 64.7) / 6.4829005(√1/12 + 1/15)

t = - 5 / 2.5108165

tstat = −1.991384

Decision rule :

If tstat < - tα, (n1+n2-2) ; reject the Null

tstat < t0.1,25

From t table :

-t0.1, 25 = - 1.3163

tstat = - 1.9913

-1.9913 < - 1.3163 ; Hence reject the Null

5 0
3 years ago
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