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4 years ago

What is the y-intercept? Give explanation, please.

Mathematics

1 answer:

vlada-n [284]4 years ago

4 0

Answer:

$y = \frac{4}{5}x - 2 → y = \frac{4}{5}x + -2 \\ \\ -2 = b$

Step-by-step explanation:

First, check the rate of change [slope]:

$\frac{-y_1 + y_2}{-x_1 + x_2} = m$

$\frac{-2 + 6}{-5 + 10} = \frac{4}{5}$ ☑

Then plug these coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula, to get it done much swiftly. It does not matter which ordered pair you choose:

6 = ⅘[10] + b

$−2 = b$

$y = \frac{4}{5}x - 2$

_______________________________________________

2 = ⅘[5] + b

−2 = b

$y = \frac{4}{5}x - 2$

** You see? I told you it did not matter which ordered pair you choose because you will ALWAYS get the exact same result.

I am joyous to assist you anytime.

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A company surveyed 2400 men where 1248 of the men identified themselves as the primary grocery shopper in their household. a) E

polet [3.4K]

Answer:

a) With a confidence level of 98%, the percentage of all males who identify themselves as the primary grocery shopper are between 0.4962 and 0.5438.

b) The lower limit of the confidence interval is higher that 0.43, so if he conduct a hypothesis test, he will find that the data shows evidence to said that the fraction is higher than 43%.

c) $\alpha =1-0.98=0.02$

Step-by-step explanation:

If np' and n(1-p') are higher than 5, a confidence interval for the proportion is calculated as:

$p'-z_{\alpha/2}\sqrt{\frac{p'(1-p')}{n} }\leq p\leq p'+z_{\alpha/2}\sqrt{\frac{p'(1-p')}{n} }$

Where p' is the proportion of the sample, n is the size of the sample, p is the proportion of the population and $z_{\alpha/2}$ is the z-value that let a probability of $\alpha/2$ on the right tail.

Then, a 98% confidence interval for the percentage of all males who identify themselves as the primary grocery shopper can be calculated replacing p' by 0.52, n by 2400, $\alpha$ by 0.02 and $z_{\alpha/2}$ by 2.33

Where p' and $\alpha$ are calculated as:

$p' = \frac{1248}{2400}=0.52\\\alpha =1-0.98=0.02$

So, replacing the values we get:

$0.52-2.33\sqrt{\frac{0.52(1-0.52)}{2400} }\leq p\leq 0.52+2.33\sqrt{\frac{0.52(1-0.52)}{2400} }\\0.52-0.0238\leq p\leq 0.52+0.0238\\0.4962\leq p\leq 0.5438$

With a confidence level of 98%, the percentage of all males who identify themselves as the primary grocery shopper are between 0.4962 and 0.5438.

The lower limit of the confidence interval is higher that 0.43, so if he conduct a hypothesis test, he will find that the data shows evidence to said that the fraction is higher than 43%.

Finally, the level of significance is the probability to reject the null hypothesis given that the null hypothesis is true. It is also the complement of the level of confidence. So, if we create a 98% confidence interval, the level of confidence $1-\alpha$ is equal to 98%

It means the the level of significance $\alpha$ is:

$\alpha =1-0.98=0.02$

4 0

3 years ago

Convert the following number to a percent 68/ 23 If needed, round to the nearest whole.

zepelin [54]

Step-by-step explanation:

$\frac{68}{23}$

$= 2.956521739130434$

$= 2.956521739130434 \times 100$

= 295.6521739130434%

=296%

5 0

2 years ago

Read 2 more answers

A ball bounces from a height of 8 feet. The ball bounces to 80% of its previous height with each bounce. How high (to the neares

anygoal [31]

Answer:

2.6 feet

Step-by-step explanation:

At each point, there is a loss of 20% (since it flies to 80%)

a) 8 - 20% of 8

= 8-1.6 = 6.4

b) 6.4 - 20% of 6.4

= 5.12

c) 5.12 - 20% of 5.12

4.096

d) 4.096 - 20% of 4.096

3.2768

e) 3.2768 - 20% of 3.2768

= 2.62144 feet

4 0

3 years ago

Pam bought 6.5 pounds of apples for $16.19. If the equation 6.5x = 16.19

Margarita [4]

How many apples are in there

3 0

4 years ago

Help me solve this question please

pychu [463]

Answer:

see explanation

Step-by-step explanation:

there is a difference of - 9 between the 3rd and 4th terms. indicating the sequence could be arithmetic , then

a₂ - a₁ = a₃ - a₂ , that is

k - 17 = - 1 - k ( add k to both sides )

2k - 17 = - 1 ( add 17 to both sides )

2k = 16 ( divide both sides by 2 )

k = 8

The sequence is 17, 8, - 1, - 10

The nth term of an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 17 and d = - 9 , then

$a_{n}$ = 17 - 9(n - 1) = 17 - 9n + 9 = 26 - 9n

3 0

3 years ago