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Alex Ar [27]
3 years ago
9

If a penny is tossed four times and comes up heads all four times, the probability of heads on the fifth trial is

Mathematics
1 answer:
oee [108]3 years ago
8 0
1/2 * 1/2 * 1/2 * 1/2 * 1/2 = <span>0.03125 = 1/32 This is your answer


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Please help me out I’ll mark brainliesttttt
Elza [17]

Answer:

x = 4

Step-by-step explanation:

Since the triangle is 45-90-45, x = 4.

7 0
3 years ago
Read 2 more answers
Peter the optician sees 16 patients one Tuesday.4 are neither short nor long sighted,the total number of short sighted patients
My name is Ann [436]

The number of short-sighted patients is 7

The number of long-sighted patients is 5

The number of patients requiring a varifocal lens is 4

Step-by-step explanation:

Stepwise solution-

Throughout the question, only 3 types of patients are mentioned. Hence, it would be safe to assume that he saw/sees these 3 types of patients on Tuesday.

As per the given details-

4 are neither short-sighted patients nor long-sighted patients. Then it means no of varifocal lens patients is 4.

Hence remaining total patients=16-4=12

As given, no of short-sighted patients is 2 more than the number of long-sighted patients.

Let us assume the number of long-sighted patients as “x”

Thus, the number of short-sighted patients would be “x+2”

x+(x+2)=12   (total remaining patients)

2x=10

x=5

Hence, No. of long-sighted outpatients = 5

            No. of short-sighted outpatients =7

5 0
4 years ago
Researchers wanted to determine if having a supply of sugary snacks in the bedroom is associated with obesity. The researchers a
I am Lyosha [343]

Answer:

c)

Step-by-step explanation:

The definition of an observational study is: one where researchers observe the effect of a risk factor or an intervention but they do not try to change who is exposed to the factor.

In this particular example, the researchers administered a questionnaire to 391 twelve-year-old and concluded that the body mass index of the adolescents who had a supply of sugary snacks in their bedroom was significantly higher than that of the adolescents who did not have a supply of sugary snacks in their bedroom.

This is not an observational study because the researchers actually administered a questionnaire and analyzed the results. To be an observational study the individuals would have been observed without any intervention (the questionnaire could have had an effect on the adolescents changing their habits)

7 0
3 years ago
Cynthia Besch wants to buy a rug for a room that is 20 ft wide and 26 ft long. She wants to leave a uniform strip of floor aroun
Radda [10]

Answer:

16 ft by 22 ft

Step-by-step explanation:

The Area of the carpeting she must have = 352 ft²

To solve for this, we have:

Length × Width = Area of a rectangle

352ft² = Length × Width

352ft² = (20 - x) (26 - x)

352 = 520 - 20x - 26x + x²

352 = 520 - 46x + x²

Collect like terms

x² - 46x + 520 - 352

x² - 46x + 168

We factorise

x² - 4x - 42x + 106

(x² - 4x) -(42x + 106)

x(x - 4) -42(x - 4)

(x - 4)(x - 42)

x - 4 = 0, x = 4

x - 42 = 0, x = 42

We choose the least value for x

Hence, x = 4

Length = 20 - 4 = 16ft

Width = 22- 4= 22ft

The dimensions the rug should have is 16ft by 22 ft, meaning 16ft wide and 22ft long

4 0
3 years ago
jorge took a speed reading class last saturday from 9 am to 4 pm. he learned that he can speed read 330 pages of a novel in one
garri49 [273]

Answer:

1hr = 60min

225min/ 60min = 3.75 hr

330 pgs. * 3.75hr = 1237.5 pages

He read 1237.5 pages in 225 minutes.

7 0
3 years ago
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