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2 years ago

What is the value of the expression below when z = 6

Mathematics

1 answer:

Oduvanchick [21]2 years ago

7 0

Answer:

Step-by-step explanation:

$2z^2+2z-3$

Using PEMDAS/BODMAS, we will have to do the exponent first, which is $z^{2}$ .

Substitute the variable z with 6, since z = 6.

$2(6^{2} )+2(6)-3$

$6^{2} =36$ .

Thus, we will get

$2(36)+2(6)-3$

Solve the multiplication next.

$72+12-3$

Finally, add/subtract the numbers:

$84-3$

$81$

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Inequality help!<br><br>so I'm thinking it's choice one...would that be right?

professor190 [17]

The answer is choice 1

6 0

3 years ago

The pair of points (g, -1) and (2, 5) lie on a line with a slope of 3/2. What is the value of g?

Sliva [168]

Answer:

$\huge{ \boxed{ \bold{g = - 2}}}$

Step-by-step explanation:

In order to find g we have to use the formula for finding the slope of the line passing through two points that's

$m = \frac{y_2 -y_ 1}{x_2 -x_1 } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are (g, -1) and (2, 5) and m = 3/2

We substitute it into the equation and find g

That's

$\frac{3}{2} = \frac{5 - - 1}{2 - g} \\ \frac{3}{2} = \frac{5 + 1}{2 - g } \: \: \: \: \: \: \: \frac{3}{2} = \frac{6}{2 - g} \\ \\ 3(2 - g) = 6(2) \\ 6 - 3g = 12 \\ - 3g = 12 - 6 \\ - 3g = 6 \\ \\ \frac{ - 3g}{ - 3} = \frac{6}{ - 3} \\ \\ g = - 2$

We have the final answer as

Hope this helps you

7 0

1 year ago

Greatest common factor between 84 and 56

s344n2d4d5 [400]

The greatest common factor is 28.

The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56

The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Then the greatest common factor is 28.

3 0

3 years ago

what is the probability of seeing a sample mean for 21 observations less or equal to the sample mean that we observed

kramer

Answer:

$P(x \le 21) = 0.69146$

Step-by-step explanation:

The missing parameters are:

$n = 64$ --- population

$\mu = 20$ --- population mean

$\sigma = 16$ -- population standard deviation

Required

$P(x \le 21)$

First, calculate the sample standard deviation

$\sigma_x = \frac{\sigma}{\sqrt n}$

$\sigma_x = \frac{16}{\sqrt {64}}$

$\sigma_x = \frac{16}{8}$

$\sigma_x = 2$

Next, calculate the sample mean $\bar_x$

$\bar x = \mu$

So:

$\bar x = 20$

So, we have:

$\sigma_x = 2$

$\bar x = 20$

$x = 21$

Calculate the z score

$x = \frac{x - \mu}{\sigma}$

$x = \frac{21 - 20}{2}$

$x = \frac{1}{2}$

$x = 0.50$

So, we have:

$P(x \le 21) = P(z \le 0.50)$

From the z table

$P(z \le 0.50) = 0.69146$

So:

$P(x \le 21) = 0.69146$

4 0

2 years ago

What proves m ∆ADB and ∆ADC are congruent.

AURORKA [14]

Answer: They're the same angles/measurements.

Step-by-step explanation: Look closely at both the angles. If you measure them, they will be the same because both angles look the same, but ΔADC's side is flipped.

Let me know if you have any questions.

~ Lily, from Brainly.

6 0

3 years ago