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algol13
3 years ago
9

(a-6)(a+6) multiply polynomials show work if can

Mathematics
1 answer:
mylen [45]3 years ago
7 0
(a-6)(a+6) FOIL
(a*a)+(a*6)-(6*a)+(6*6)
a²+6a-6a+36
a²+36
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Systolic Blood Pressure Assume that the mean systolic blood pressure of normal adults is 120 millimeters of mercury and the stan
liq [111]

Answer:

0.1425 = 14.25% probability that the individual's pressure will be between 119.4 and 121.4mmHg.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 120, \sigma = 5.6

Find the probability that the individual's pressure will be between 119.4 and 121.4mmHg

This is the pvalue of Z when X = 121.4 subtracted by the pvalue of Z when X = 119.4. So

X = 121.4

Z = \frac{X - \mu}{\sigma}

Z = \frac{121.4 - 120}{5.6}

Z = 0.25

Z = 0.25 has a pvalue of 0.5987

X = 119.4

Z = \frac{X - \mu}{\sigma}

Z = \frac{119.4 - 120}{5.6}

Z = -0.11

Z = -0.11 has a pvalue of 0.4562

0.5987 - 0.4562 = 0.1425

0.1425 = 14.25% probability that the individual's pressure will be between 119.4 and 121.4mmHg.

8 0
3 years ago
7 squared minus y equals 6 then y equals
vova2212 [387]

Answer:

Y = 43

Step-by-step explanation:

7^2 - y = 6

49 - y = 6

subtract 49

-y = -43

divide by -1

y = 43

6 0
3 years ago
Can somebody help me I will mark brainliest
bixtya [17]

Answer:

Hope this helps

Step-by-step explanation:

a) <e and <c

b) <c and <b

c) <c and <a

d) <c and <b,  <c and <d, <d and <e, <e and <a, <a and <b

e) c = 30, a = 90, b= 60, e= 30, d= 150

6 0
3 years ago
Read 2 more answers
HELP! Which triangles are congruent?
kati45 [8]

9514 1404 393

Answer:

  4.  A, B, C, and D

Step-by-step explanation:

Each right triangle has a short leg of 3 units and a long leg of 4 units. They are all congruent by the SAS congruence postulate.

8 0
3 years ago
Question 7 of 10
Mama L [17]

Answer:

B

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 )

Then the discriminant is

Δ = b² - 4ac

• If b² - 4ac > 0 then 2 real irrational roots

• If b² - 4ac > 0 and a perfect square then 2 real rational roots

• If b² - 4ac = 0 then 1 real double root

• If b² - 4ac < 0 then 2 complex roots

Given

x² + 3x - 7 = 0 ← in standard form

with a = 1, b = 3, c = - 7 , then

b² - 4ac

= 3² - (4 × 1 × - 7) = 9 + 28 = 37

Since b² - 4ac > 0 then 2 real irrational roots

8 0
3 years ago
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