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3 years ago

Use the 45-45-45-90 triangle relationship to find the missing sides

Mathematics

1 answer:

muminat3 years ago

7 0

Answer: A is 8. B is the square root of 128.

Step-by-step explanation: Nah.

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For each day that Sasha travels to work, the probability that she will experience a delay due to traffic is 0.2. Each day can be

Savatey [412]

Answer:

0.3277 = 32.77%

Step-by-step explanation:

If we want the probability for Sasha being late after the fifth day, we need that in the first five days she is not late, which has a probability of 1 - 0.2 = 0.8

So, multiplying the probability for each day, we have that:

P = 0.8 * 0.8 * 0.8 * 0.8 * 0.8 = 0.3277 = 32.77%

So we have a probability of 32.77% that Sasha's first delay will occur after the fifth day.

7 0

3 years ago

The article "Occurrence and Distribution of Ammonium in Iowa Groundwater" (K. Schilling, Water Environment Research, 2002:177–18

Papessa [141]

Answer: 95% confidence interval for the difference between the proportions would be (1.31, 1.39).

Step-by-step explanation:

Since we have given that

Number of alluvial wells = 349

Number of quaternary wells = 143

Number of alluvial wells that had concentrations above 0.1 = 182

Number of quaternary wells that had concentrations above 0.1 = 112

Average of alluvial wells = 0.27

Standard deviation = 0.4

Average of quaternary wells = 1.62

Standard deviation =1.70

So, 95% confidence interval gives

alpha = 5% level of significance.

$\dfrac{\alpha}{2}=2.5\%\\\\z_{\frac{\alpha}{2}}=1.96$

So, 95% confidence interval becomes,

$(1.62-0.27)\pm 1.96\sqrt{\dfrac{0.4^2}{349}+\dfrac{1.7^2}{143}}\\\\=1.35\pm 1.96\times 0.020\\\\=(1.35-0.040,1.35+0.040)\\\\=(1.31,1.39)$

Hence, 95% confidence interval for the difference between the proportions would be (1.31, 1.39).

6 0

4 years ago

The library is to be given 10 books as a gift. the books will be selected from a list of 22 titles. if each book selected must h

STALIN [3.7K]

Answer: There are 646,646 different selections.

The library is going to select 10 books from a set of 22 books. There are a lot of different possibilities. This is a combination problem.

The standard notation is 22 C 10, this means that we are selecting 10 from 22 and the order doesn't matter. Most calculators will do this for you.

If you want to do the work by hand, evaluate: 22! / (10! x 12!)

Either way you will get 646,646 possibilities.

4 0

3 years ago

Pada segiempat PQRS,titik A dan B masing-masing titik tengah PR dan QS.Jika vektor AB = u maka PQ+PS+RQ+RS =

Shkiper50 [21]

4u
.............................

6 0

4 years ago

Are the lines y = –x + 8 and 4x + 4y = 12 perpendicular? Explain.

melamori03 [73]

We have that
y = –x + 8
and
4x + 4y = 12

we know that
if two lines are perpendicular
so
m1*m2=-1

step 1
find the slope of the lines
y = –x + 8 -------> m1=-1

4x + 4y = 12-----> x+y=3 (divided by 4 all expression)
y=3-x
m2=-1

therefore
m1=m2
the lines are parallel

the answer is
No; their slopes are not opposite reciprocals.

see the attached figure

5 0

3 years ago