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WITCHER [35]
3 years ago
10

ABCD is a parallelogram. Solve for BC.

Mathematics
2 answers:
CaHeK987 [17]3 years ago
6 0
13 is the answer for the parallelogram for BC
Wittaler [7]3 years ago
3 0

Answer:

13

Step-by-step explanation:

3x-2=2x+3

subtract 2x

x-2=3

add 2

x=5

2x+3=BC

2(5)+3=BC

10+3=BC

13

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2a + 1 > 9 or a < –1
SVEN [57.7K]

Answer:

I don't know what you mean, but I'll say 2a+1>9 is a>4

Step-by-step explanation:

7 0
3 years ago
You have 9 identical balls, one of which is heavier than the rest. What is the smallest number of times you need to weigh the ba
Dvinal [7]

You could do this with two weighings assuming its a two pan balance - (1) place three balls on each side - if they balance out then its the remaining three that has abnormal ball (2) out of that group, place one ball on each side - if balances it out, the abnormal ball is the remaining one.

If the weighing in step (1) does not balance out, grab the group of three balls that is light or heavy and repeat step (2) described above.

7 0
3 years ago
in a given year, the rate of flu infection for the general public was 8.3%. And sample of 200 people who receive the flu vaccine
makkiz [27]

Answer:

\fbox{\begin{minipage}{10em}Option A is correct\end{minipage}}

Step-by-step explanation:

<em>Step 1: Define significance level</em>

In this hypothesis testing problem, significance levels α is selected: 0.05, the associated z-value from Laplace table:

Φ(z) = α - 0.5 = 0.05 - 0.5 = -0.45

=> z = -1.645

<em>Step 2: Define null hypothesis (</em>H_{0}<em>) and alternative hypothesis (</em>H_{1}<em>)</em>

H_{0} : rate of flu infection p = 8.3% or 8.3/100 = 0.083

H_{1} : rate of flu infection p < 8.3% or 8.3/100 = 0.083

<em>Step 3: Apply the formula to check test statistic:</em>

K = \frac{f - p}{\sqrt{p(1 - p)} } * \sqrt{n}

with f is actual sampling percent, p is rate of flu infection of H_{0}, n is number of samples.

The null hypothesis will be rejected if K < z

<em>Step 4: Calculate the value of K and compare with </em>z

K = \frac{(\frac{3.5}{100})  - 0.083}{\sqrt{0.083(1 - 0.083)} } * \sqrt{200} = -2.46  

We have -2.46 < -1.645

=>This is good evidence to reject null hypothesis.

=> The actual rate is lower. (As H_{1} states)

Hope this helps!

:)

5 0
3 years ago
Simplify (9 + 8 – 6)(4 – 5).
Vitek1552 [10]

Answer: -11

Step-by-step explanation:

Work with the first group of numbers " (9+8-6) " equals 11

Next move to the second pair  "(4-5) " equals -1

Lastly multiply, 11 x -1 = -1

5 0
4 years ago
Read 2 more answers
If a number is divisible by 2,5,10 what is the one digit of the number
viktelen [127]

Answer:

0

Step-by-step explanation:

As per divisibility rule, a number is divisible by 2 when one's place has the number 0,2,4,6 or 8

As per divisibility rule, a number is divisible by 5 when one's place has the number 0 or 5

As per divisibility rule, a number is divisible by 10 when one's place has the number 0

So, if a number is divisible by 2,5 and 10, then the number one's place should have 0

3 0
3 years ago
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