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3 years ago

How do you do the bottom 4? Thanks!

Mathematics

1 answer:

alexandr402 [8]3 years ago

3 0

Alrightie! So we are trying to isolate independent variables! WOO HOO!

So for a.) y = mx + b which is the point-slope formula... do this :)

y = mx + b
y - b = mx + b - b
y - b = mx

$\frac{y-b}{x} = \frac{mx}{x}$
$m = \frac{y-b}{x}$

b.) follow the same way I did above, but instead of dividing x, divide by m.

c.) I = prt which is the equation for interest.
divide each side by pr.

d.) This one is like a and b. So lemme show ya.

$A - p = prt$
$\frac{A-p}{pr} = \frac{t}{pr}$
$t = \frac{A-p}{pr}$

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Kari's paper cup holds 6 fluid ounces. If one ounce is equivalent to 29.6 milliliters, how many milliliters does her paper cup h

Degger [83]

Answer:

Equivalent measurements: teaspoon, ounce, pint, pound

You will find a table of equivalent measurements in the back of many cookbooks:

1 tablespoon = 3 teaspoons

1 cup = 16 tablespoon = 8 ounces

1/4 cup = 4 tablespoons

1/3 cup = 5 tablespoons plus 1 teaspoon

1 pint = 2 cups = 16 ounces

1 quart = 4 cups (2 pints) = 32 ounces

1 gallon = 4 quarts

1 pound = 16 ounces

1/2 pound = 8 ounces

1/4 pound = 4 ounces

Note that a pint is 16 ounces of volume, while a pound is 16 ounces of weight. The popular rhyme "A pint's a pound, the world around" can help you remember this, but keep in mind that they're not really equivalent.

Doubling a recipe can be easy (just put in two of each measurement), but what if you need to divide a recipe in half? Here are some measurements that may help:

Measurement 1/2 Measurement

1/8 teaspoon just a dash

1 tablespoon 1 1/2 teaspoons

1/4 cup 2 tablespoons

1/3 cup 2 tablespoons + 2 teaspoons

3/4 cup 6 tablespoons

Step-by-step explanation:

7 0

3 years ago

PLEASE HELP ME I BEG I WILL GIVE BRAINLIEST

ohaa [14]

Answer:

Mean = (2.2 + 2.4 + 2.5 + 2.5 + 2.6 + 2.7)/6 = 2.48

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (2.2 - 2.48)^2 + (2.4 - 2.48)^2 + (2.5 - 2.48)^2 + (2.5 - 2.48)^2 + (2.6 - 2.48)^2 + (2.7 - 2.48)^2 = 0.1484

Standard deviation = √(0.1484/6

s = 0.16

Standard error = s/√n = 0.16/√6 = 0.065

Part B

Confidence interval is written as sample mean ± margin of error

Margin of error = z × s/√n

Since sample size is small and population standard deviation is unknown, z for 98% confidence level would be the t score from the student t distribution table. Degree of freedom = n - 1 = 6 - 1 = 5

Therefore, z = 3.365

Margin of error = 3.365 × 0.16/√6 = 0.22

Confidence interval is 2.48 ± 0.22

Part C

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 2.3

For the alternative hypothesis,

H1: µ > 2.3

This is a right tailed test

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 6

Degrees of freedom, df = n - 1 = 6 - 1 = 5

t = (x - µ)/(s/√n)

Where

x = sample mean = 2.48

µ = population mean = 2.3

s = samples standard deviation = 0.16

t = (2.48 - 2.3)/(0.16/√6) = 2.76

We would determine the p value using the t test calculator. It becomes

p = 0.02

Assuming significance level, alpha = 0.05.

Since alpha, 0.05 > than the p value, 0.02, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the mean absolute refractory period for all mice when subjected to the same treatment increased.

Step-by-step explanation:

7 0

3 years ago

The wildflowers at a national park have been decreasing in numbers. There were 1200 wildflowers in the first year that the park

bonufazy [111]

Year New flowers

1 1200

2 300

3 75

There were 1200 wildflowers in the first year that the park started tracking them. Since then, there have been one fourth as many new flowers each year

Initially there are 1200 flowers and start decreasing by $\frac{1}{4}$

So first term is 1200 and common ratio is $\frac{1}{4}$ .

Its a geometric sequence so summation becomes

i =1∑ ∞ 1200( $\frac{1}{4})^{i-1}$

Now we find the sum

We use sum formula

$Sum = \frac{a}{1-r}$

Where a is the first term , a= 1200

r is the common ratio , r= 1/4

$Sum = \frac{1200}{1-(\frac{1}{4})}$

$Sum = \frac{1200}{\frac{3}{4}}$

Sum = 1600 wildflowers

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3 years ago

Kaylee's history class quiz scores for the current grading period are 10, 50, 75, 80, 82,

goldfiish [28.3K]

B is the answer I need the points

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3 years ago

An equilateral triangle has a perimeter of 42. What is it's height?

katrin2010 [14]

Answer:

Given that: The perimeter of the equilateral triangle is 42 inches. Side of the triangle=Perimeter/3=42/3=14 inches. The height of the triangle is 12 inches

Step-by-step explanation:

12 inches hope it helps

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3 years ago

Read 2 more answers