SECTION C

Which equation describes the nth term of the arithmetic sequence –12, –14, –16, –18, . . .?

Vika [28.1K]

Are there choices?

y = -2x - 10

4 0

3 years ago

Rachel measured the lengths of a random sample of 100 screws. The mean length was 2.9 inches, and the population standard deviat

MaRussiya [10]

Answer:

z = 10

Step-by-step explanation:

The value of the z-statistic is given by:

$z = \frac{X - \mu}{s}$

In which:

X is the measured value.

$\mu$ is the expected value.

$s = \frac{\sigma}{\sqrt{n}}$ is the standard deviation of the sample. $\sigma$ is the standard deviation of the population.

In this question:

The mean length was 2.9 inches, and the population standard deviation is 0.1 inch.

This means that $\mu = 2.9, \sigma = 0.1$

Random sample of 100 screws.

This means that n = 100.

To see if the batch of screws has a significantly different mean length from 3 inches, what would the value of the z-test statistic be?

3 inches, so $X = 3$

$s = \frac{0.1}{\sqrt{100}} = 0.01$

$z = \frac{X - \mu}{s}$

$z = \frac{3 - 2.9}{0.01}$

$z = 10$

8 0

3 years ago

Which statement describes the translation of y = − one over two (x − 2)2 − 2 from standard position

blsea [12.9K]

The standard position of a function is y = ax^n + bx^n-1 + ... k where a, b and k are all constants. In this case, the problem gives

<span>y = − one over two (x − 2)2 − 2
Translating numerically,
y = [-1/2(x-2)^2 ] -2
2(x-2)^2 y = -1 -2(2*(x-2)^2)
</span>2(x-2)^2 y= -1 -4(x^2-4x+4)
y = (-4x^2 + 16x -17) /(2(x-2)^2)

4 0

3 years ago

The speed of a motorcycle increases from 10km/hr to 50km/hr in 9 seconds. What is its acceleration?

ivanzaharov [21]

Acceleration of motorcycle= 1.23m/s^2

Step-by-step explanation:

We need to find the acceleration of motorcycle When its speed increases from 10km/hr to 50km/hr in 9 seconds

Given:

Initial speed= 10km/hr

Final speed= 50km/hr

Time = 9 seconds

Acceleration = ?

Formula: $Acceleration =\frac{Change\,\,in\,\,velocity}{time}$

Solution:

We will first convert the speed from km/hr to m/s

Converting Initial speed 10km/hr into m/s

1 km = 1000 m

10 km = 10,000 m

and 1 hr = 3600 s

So, Initial speed = 10,000/3600 = 2.77 m/s

Converting Final speed 50km/hr into m/s

1 km = 1000 m

50 km = 50,000 m

and 1 hr = 3600 s

So, Initial speed = 50,000/3600 = 13.88 m/s

Now Using formula of acceleration:

$Acceleration =\frac{Change\,\,in\,\,velocity}{time}\\Change\,\,in\,\,velocity =Final\,\,speed-Initial\,\,speed\\Change\,\,in\,\,velocity=13.88 - 2.77\\Change\,\,in\,\,velocity = 11.11 m/s\\Acceleration =\frac{11.11}{9}\\Acceleration =1.23 m/s^2$

So, Acceleration of motorcycle = 1.23m/s^2

Keywords: Acceleration, Change in speed

Learn more about Acceleration at:

#learnwithBrainly

6 0

3 years ago

Write a linear function whose slope is -4 and y-intercept is -5. Explain what these values mean in the equation.

beks73 [17]

Answer:

y = -4x - 5

Step-by-step explanation:

The line starts at -5 on the graph and decreases by a rate of 4

8 0

3 years ago