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sergiy2304 [10]
3 years ago
10

Line segment ABCD is split into unequal segments by points A, B, C, and D. The length of segment AD is 28 cm, and the distance b

etween the midpoints of segments AB and CD is 16 cm. Find the length of segment BC.
Mathematics
1 answer:
Oksana_A [137]3 years ago
5 0

Answer:

4 cm

Step-by-step explanation:

The midpoint segment has length ...

... L = AB/2 + BC + CD/2 = 16 cm

The entire segment has length ...

... AD = AB + BC + CD = 28 cm

If we subtract AD from 2L, we have ...

... 2L - AD - 2L = 2(AB/2 +BC + CD/2) - (AB +BC +CD) = 2(16 cm) -28 cm = 4 cm

... AB +2BC + CD -AB -BC -CD = 4 cm . . . . remove parentheses

... BC = 4 cm . . . . simplify

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A random sample of adult female reaction times has a sample mean of x¯=394.3 milliseconds and sample standard deviation of s=84.
s2008m [1.1K]

Answer:

99.7%

Step-by-step explanation:

Given that mean (μ) = 394.3 ms and standard deviation (σ) = 84.6 ms.

The empirical rule states that for a normal distribution:

  1. 68% falls within one standard deviation (μ ± σ)
  2. 95% falls within two standard deviation (μ ± 2σ)
  3. 99.7% falls within three standard deviation (μ ± 3σ)

one standard deviation = 394.3 ± 84.6 = (309.7, 478.9). 68% falls within 309.7 and 478.9 ms

two standard deviation = 394.3 ± 2 × 84.6 = (225.1, 563.5). 95% falls within 225.1 and 563.5 ms

three standard deviation = 394.3 ± 3 × 84.6 = (140.5, 648.1). 99.7% falls within 140.5 and 648.1 ms

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Find the probability.
sasho [114]

Answer:

excellent this is ur correcoting answer

8 0
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Solve for ttt.<br> 2(t+1) = 102(t+1)=10
densk [106]

Answer:

2(t+1) = 102(t+1)=10

distribuite 2t+2=10

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t=4

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ycow [4]

Answer:

1\frac{2}{3}

Step-by-step explanation:

We want to simplify:

2 \frac{1}{2}  \div 1 \frac{3}{6}

This is the same as:

2 \frac{1}{2}  \div 1 \frac{1}{2}

Now let us convert the mixed numbers to improper fractions.

\frac{5}{2}  \div  \frac{3}{2}

We multiply by the reciprocal of the second fraction to get:

\frac{5}{2}  \times  \frac{2}{3}

Cancel out the common factors to obtain:

\frac{5}{3}  = 1 \frac{2}{3}

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Given f(x)=x-7 and g(x)=x² <br>find g(f(4))​
vova2212 [387]

Answer:

Step-by-step explanation:

f(4) = 4-7 = -3

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