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3 years ago

Find a linear equation that is perpendicular to y= 2x + 4 and passes through (-5, -3)

Mathematics

1 answer:

Trava [24]3 years ago

8 0

Answer:

y=-1/2x+7/2

Step-by-step explanation:

two lines are perpendicular if the product of the slopes is equal to -1

the slope for y=2x+4 is 2

2*x=-1

x=-1/2

the formula for the slope is

(y2-y1)/(x2-x1)=m

we know y1 and x1

(y+5)/(x+3)=-1/2

y+5=x+3/2

2y+10=x+3

2y=x-7

y=-1/2x+7/2

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A new electric car uses 7.3% of its battery to drive 6.4 miles, at that rate how many miles can you drive using 100% of the batt

Natali [406]

Answer:

83.2 miles

Step-by-step explanation:

what i had to do was multiply 7.3 by 13 and that was 94.9 that was as close as i could get it to 100 so i then multipled 6.4 by 13 and got 83,2 miles

5 0

2 years ago

Find the 95% confidence interval for estimating the population mean μ

AVprozaik [17]

We first need to determine whether we are dealing with means or proportions in this problem. Since we are given the sample and population mean, we know that we are dealing with means.

Since we have one sample mean, this means we are creating a confidence interval for one sample (1 Samp T Int).

Normally we would check for conditions, but since this is not formulated as a "real-world scenario" type problem, it is hard to check for randomness and independence. Therefore, I will be excluding conditions from this answer.

<h3>Confidence Interval Formula</h3>

The formula for constructing a <u>confidence interval for means</u> is as follows:

$\displaystyle \overline{x} \pm t^*\big{(}\frac{\sigma}{\sqrt{n} } \big{)}$

We are given these variables:

$\overline{x}=50$
$n=60$
$\sigma=10$

Plug these values into the formula for the confidence interval:

$\displaystyle 50\pm t^* \big{(}\frac{10}{\sqrt{60} } \big{)}$

<h3>Finding the Critical Value (t*)</h3>

In order to find t*, we can use this formula:

$\displaystyle \frac{1-C}{2}=A$

Calculating the z-score associated with "A" will give us t*.

So, let's plug in the confidence interval 95% (.95) into the formula:

$\displaystyle \frac{1-.95}{2}=.025$

Use your calculator or a t-table to find the z-score associated with this area under the curve.. you should get:

$t^*=1.96$

<h3>Constructing Confidence Interval</h3>

Now, let's finish the confidence interval we created:

$\displaystyle 50\pm 1.96 \big{(}\frac{10}{\sqrt{60} } \big{)}$

We can calculate the confidence interval, using this formula, to be:

$\boxed{(47.4697, \ 52.5303)}$

<h3>Interpreting the Confidence Interval</h3>

We are 95% confident that the true population mean μ lies between <u>47.4697 and 52.5303</u>.

8 0

1 year ago

Which is greatest 3/5, 0.70, or 65%? Tell how you know.

Leni [432]

3/5 = .60, 65% = .65, 0.70 is the greatest

8 0

3 years ago

A seal went 25 feet below sea level to catch a fish. A sea lion dove 10 feet less than three times as deep as the seal to catch

vfiekz [6]

Answer:

65 feet below sea level.

Step-by-step explanation:

With the information provided, we can create the following equation for the position of the sea lion (p)

p = 3x - 10

In this equation, x would be the final position of the seal when it caught the fish. Since we are told that the seal's position is 25 feet below sea level then we can plug in this value as x and solve for p...

p = (3 * 25) - 10

p = 75 - 10

p = 65

Finally, we can see that the sea lion's position is 65 feet below sea level.

7 0

3 years ago

Read 2 more answers

Mary is making pillows for her Life Skills class. She bought 2 1/2 yards of fabric. Her total cost was $15. What was the cost pe

dexar [7]

Cost of 2 1/2 yards= $15
cost of 1 yard=?
cost of one yard= 15/(2 1/2)
=15/5/2
=15/5*2
=3*2
=$ 6
so the cost of fabric for one yard will be $6

5 0

3 years ago