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3 years ago

13

Use the graph to answer the question. On a coordinate plane, a curve starts at (negative 1, negative 1) and curves down through

(negative 4, negative 2). A line goes from closed circle (negative 1, 3) and goes to open circle (3, 7), and then curves down to (5, 3) and up through (7, 7). A closed circle is at (3, negative 1). Using limits, for which value of x is the function continuous? Check all that apply. –2 –1 0 3 5

1 answer:

Softa [21]3 years ago

5 0

Answer:

A, C, and E

Step-by-step explanation:

-2, 0, and 5

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Please help 200*50/-9+564*-4= ? I

Hoochie [10]

Answer:

-3367 1/9

Step-by-step explanation:

This is what calculators are for.

Perform the multiplication and division before the addition.

... = 10000/-9 -2256

... = -1111 1/9 -2256

... = -3367 1/9

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4 years ago

3) A local meteorologist measured the rain during a storm and recorded it on a graph. At what

ra1l [238]

Answer:

The rain fell at 2cm per hour

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3 years ago

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What is the slope intercept form of 16x - 4y = -20

adelina 88 [10]

Answer:

1

Step-by-step explanation:desmos

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3 years ago

1) Lithium isotope rations are important to medicine, the 6Li/7Li ratio in a standard reference material was measured several ti

uysha [10]

Answer:

1) $0.0826052-2.776\frac{0.000013424}{\sqrt{5}}=0.082588$

$0.0826052+2.776\frac{0.000013424}{\sqrt{5}}=0.0826219$

b) $ME= 2.776\frac{0.000013424}{\sqrt{5}}=0.0000166653$

And we want 2/3 of the margin of error so then would be: $2/3 ME = 0.00001111$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And on this case we have that ME =0.00001111016 and we are interested in order to find the value of n, if we solve n from equation (1) we got:

$n=(\frac{z_{\alpha/2} s}{ME})^2$ (2)

Replacing we got:

$n=(\frac{2.776(0.000013424)}{0.00001111})^2 =11.25 \approx 12$

So the answer for this case would be n=12 rounded up to the nearest integer

Step-by-step explanation:

Information given

0.082601, 0.082621, 0.082589, 0.082617, 0.082598

We can calculate the sample mean and deviation with the following formulas:

$\bar X= \frac{\sum_{i=1}^n X_i}{n}$

$s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

$\bar X=0.0826052$ represent the sample mean

$\mu$ population mean

s=0.000013424 represent the sample standard deviation

n=5 represent the sample size

Part 1

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom, given by:

$df=n-1=5-1=4$

The Confidence level is 0.95 or 95%, and the significance would be $\alpha=0.05$ and $\alpha/2 =0.025$ , the critical value would be using the t distribution with 4 degrees of freedom: $t_{\alpha/2}=2.776$

Now we have everything in order to replace into formula (1):

$0.0826052-2.776\frac{0.000013424}{\sqrt{5}}=0.082588$

$0.0826052+2.776\frac{0.000013424}{\sqrt{5}}=0.0826219$

Part 2

The original margin of error is given by:

$ME= 2.776\frac{0.000013424}{\sqrt{5}}=0.0000166653$

And we want 2/3 of the margin of error so then would be: $2/3 ME = 0.00001111$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And on this case we have that ME =0.00001111016 and we are interested in order to find the value of n, if we solve n from equation (1) we got:

$n=(\frac{z_{\alpha/2} s}{ME})^2$ (2)

Replacing we got:

$n=(\frac{2.776(0.000013424)}{0.00001111})^2 =11.25 \approx 12$

So the answer for this case would be n=12 rounded up to the nearest integer

3 0

3 years ago

Jeremy's father drives him to school in rush hour traffic in 20 minutes. One day there is no traffic, so his father can drive hi

nexus9112 [7]

Hello.

Let's call the initial speed 'x'. When driving at that speed, Jeremy's father takes 20 minutes to arrive to the school. When driving 18 mph faster (x + 18), he gets there in 12 minutes. Therefore:

20 - x
12 - x + 18

As they're inversely proportional:

12 - x
20 - x + 18

$\frac{12}{20} = \frac{x}{x+18}$
$12x + 216 = 20x$
$216 = 8x$
$x = \frac{216}{8}$
$x = 27$

That means that the initial speed is of 27mph. Since we have the time and the speed, we can find the distance:

Average Speed = Total Distance Travelled / Time Interval

20 minutes = 0.33h

$27 = \frac{Distance}{0.33}$
$Distance = 27.0.33$
$Distance = 12.21 miles$

Hope I helped and good luck.

3 0

3 years ago

Read 2 more answers