3 years ago

What is the area of a triangle that has a base of 8 yd and height of 3 yd

Mathematics

1 answer:

Zielflug [23.3K]3 years ago

7 0

area = 1/2 x b x h

1/2 x 8 x 3 = 12

area is 12 square yards

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Assume that blood pressure readings are normally distributed with a mean of 123 and a standard deviation of 9.6. If 144 people a

Vanyuwa [196]

Answer:

The probability is 0.9938

Step-by-step explanation:

In this question, we are asked to calculate the probability that the mean blood pressure readings of a group of people is less than a certain reading.

To calculate this, we use the z score.

Mathematically;

z = (mean - value)/(standard deviation/√N)

From the question, we can identify that the mean is 125, the value is 123 , the standard deviation is 9.6 and N ( total population is 144)

Let’s plug these values;

z = (125-123)/(9.6/√144) = 2.5

Now we proceed to calculate the probability with a s score less than 2.5 using statistical tables

P(z<2.5) = 0.9938

8 0

3 years ago

Which algebraic expression has a term with a coefficient of 3?

Mariulka [41]

Answer:

D. 3y+1

Step-by-step explanation:

The coefficient is the number in front of the variable

3y has a coefficient of 3

3 ( y-6) has a factor of 3 since it is multiplied by the other term ( y-6)

4 0

3 years ago

Solve for the largest value of $x$ such that $5(9x^2+9x+10) = x(9x-40).$ Express your answer as a simplified common fraction.

irinina [24]

Hello, please consider the following.

$\begin{aligned}5(9x^2+9x+10) &= x(9x-40)\\&=9x^2-40x\end{aligned}\\\\ 45x^2+45x+50=9x^2-40x\\\\ (45-9)x^2+(45+40)x+50=0\\\\ 36x^2+85x+50=0$

We can estimate the discriminant, and then, the solutions and we take the largest one.

$\Delta=b^2-4ac=85^2-4*36*50=25=5^2\\\\x_1=\dfrac{-85-5}{2*36}=\dfrac{-18*5}{18*4}=\dfrac{-5}{4}\\\\x_2=\dfrac{-85+5}{2*36}=\dfrac{-80}{72}=\dfrac{-8*10}{8*9}=\boxed{\dfrac{-10}{9}}$