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finlep [7]
2 years ago
12

What type of triangle has side lengths 4, 4/15, and 16?

Mathematics
1 answer:
zvonat [6]2 years ago
6 0

Answer:

answer a. Because 16^2=256

4^2+ 4/15^2=16.01

16.01<256 . Therefore, it is acute-angled acute

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C) Make k the subject of the formula t = ak/ 20
stiks02 [169]

Answer:

k=20t/a

Step-by-step explanation:

20t=ak

20t/a=k

k=20t/a

4 0
2 years ago
A normally distributed set of numbers has a mean of 75 and a standard deviation of 7.97. What percentage of values lies between
lana [24]

Answer:

63% of the values lies between 70 and 85.

Step-by-step explanation:

We are given that a normally distributed set of numbers has a mean of 75 and a standard deviation of 7.97.

<em>Let X = Set of numbers</em>

The z-score probability distribution for is given by;

                Z = \frac{  X -\mu}{\sigma}  ~ N(0,1)

where, \mu = mean value = 75

            \sigma = standard deviation = 7.97

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, percentage of values that lies between 70 and 85 is given by = P(70 < X < 85) = P(X < 85) - P(X \leq 70)

   P(X < 85) = P( \frac{  X -\mu}{\sigma} < \frac{  85-75}{7.97} ) = P(Z < 1.25) = 0.89435  {using z table}

   P(X \leq 70) = P( \frac{  X -\mu}{\sigma} \leq \frac{  70-75}{7.97} ) = P(Z \leq -0.63) = 1 - P(Z < 0.63)

                                                 = 1 - 0.73565 = 0.26435

<em>Now, in the z table the P(Z </em>\leq<em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.25 and x = 0.63 in the z table which has an area of 0.89435 and 0.73565 respectively.</em>

Therefore, P(70 < X < 85) = 0.89435 - 0.26435 = 0.63 or 63%

<em>Hence, 63% of the values lies between 70 and 85.</em>

6 0
3 years ago
What value of makes this equation true? sin(30) = cos()
masya89 [10]

Answer:

cos60°

Step-by-step explanation:

Using the cofunction identity

cos(90 - x) = sinx , then

sin30° = cos(90 - 30)° = cos60°

4 0
3 years ago
Read 2 more answers
Penny received an unexpected $5,000.00 gift from a distant relative. She invests it
leva [86]

Answer:

$9,000.00 is her original investment worth in 10 yrs.

5000 x 1.08 ^10 = 10794.6249864

Then subtract -500000 = 5794.62498636

Step-by-step explanation:

Why, because the first year is proved 5000 x 0.08 = 400

= 400 year 1 but cna keep only if stays in investment for 10 years

400 x 10 = 4000 interest on investment

5000+ 4000 = $9,000.00 SI

+ 1,794.62 Interest on interest if applies (this is called CI) and makes $10794.62

3 0
3 years ago
I will give brainliest!!!!
KengaRu [80]

Answer: A, 3 B, 2 C, 6

Step-by-step explanation:

5 0
3 years ago
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