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3 years ago

Find the equation of a line that is parallel to the line y = -4× and contains the point (8,-3)

1 answer:

3 0

(Note: this is hard to explain without graphing. You might want to graph both of these lines just to make sure I did this correctly. :))

Y = -4(x) is the y = mx + b where m = slope and b = the y intercept.

So the slope of line A is -4 / 1 and the y intercept is 0. (If it's 0 there is no point in writing it down, so it was left out of the equation.)

The slope of line B with be equal to the slope of line A, so we can fill that in our equation. y = -4 x + ??

We know that y increases as x decreases.

Now we just need to scale 8, -3 down until x = 0.
(8 - 4, -3 + 1) = (4, -2)

(4 - 4, -2 + 1) = (0, -1)

y = -4x -1 is your final answer. Hope that helps! :)

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An atom of chlorine has 36 fewer protons than an atom of iodine. Together an atom of chlorine and an atom of iodine have 70 prot

scoundrel [369]

Since a atom of chlorine has 36 fewer protons than an atom of iodine, then their total is 70.
So you have to subtract 36 from 70
70 - 36
= 34

*your answer is 34 protons for an atom of iodine

4 0

3 years ago

Determine the transformations done on pentagon 1 to obtain pentagon 2. [[ ANSWER ASAP ]]

topjm [15]

Answer:first option

Step-by-step explanation:

Is enlarged by scale factor of 2 and is moved to another place

4 0

3 years ago

A survey reported in Time magazine included the question ‘‘Do you favor a federal law requiring a day waiting period to purchase

il63 [147K]

Answer:

The 90% confidence interval for the difference between proportions is (-0.260, -0.165).

Step-by-step explanation:

The question is incomplete. The complete question is:

"A survey reported in Time magazine included the question ‘‘Do you favor a federal law requiring a 15 day waiting period to purchase a gun?” Results from a random sample of US citizens showed that 318 of the 520 men who were surveyed supported this proposed law while 379 of the 460 women sampled said ‘‘yes”. Use this information to find a 90% confidence interval for the difference in the two proportions, pm - pw. Subscript pm is the proportion of men who support the proposed law and pw is the proportion of women who support the proposed law. (Round answers to 3 decimal places.)"

We want to calculate the bounds of a 90% confidence interval.

For a 90% CI, the critical value for z is z=1.645.

The sample of men, of size nm=-0.26 has a proportion of pm=0.612.

$p_m=X_m/n_m=318/520=0.612$

The sample 2, of size nw= has a proportion of pw=0.824.

$p_w=X_w/n_w=379/460=0.824$

The difference between proportions is (pm-pw)=-0.212.

$p_d=p_m-p_w=0.612-0.824=-0.212$

The pooled proportion, needed to calculate the standard error, is:

$p=\dfrac{X_m+X_w}{n_m+n_w}=\dfrac{318+379}{520+460}=\dfrac{697}{980}=0.711$

The estimated standard error of the difference between means is computed using the formula:

$s_{pm-pw}=\sqrt{\dfrac{p(1-p)}{n_m}+\dfrac{p(1-p)}{n_w}}=\sqrt{\dfrac{0.711*0.289}{520}+\dfrac{0.711*0.289}{460}}\\\\\\s_{pm-pw}=\sqrt{0.00039+0.00045}=\sqrt{0.001}=0.029$

Then, the margin of error is:

$MOE=z \cdot s_{pm-pw}=1.645\cdot 0.029=0.0477$

Then, the lower and upper bounds of the confidence interval are:

$LL=(p_1-p_2)-z\cdot s_{p1-p2} = -0.212-0.0477=-0.260\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= -0.212+0.0477=-0.165$

The 90% confidence interval for the difference between proportions is (-0.260, -0.165).

6 0

3 years ago

In a class of 10, there are 2 students who forgot their lunch. If the teacher chooses 2 students, what is the probability that b

Anuta_ua [19.1K]

At the beginning, the chances that the teacher will choose a student who has forgotten his lunch are 2/10, or 1/5.

If the teacher now chooses another student from the remaining 9 students, the chances of his choosing a student who has forgotten his lunch are 1/9, since one of the forgetful students has already been removed from the original group of 10 students, and there are only 9 in the group remaining.

The probability that both students forgot lunch is (1/5)(1/9), or 1/45.

7 0

3 years ago

HELP !!!

S_A_V [24]

The relation is shown in b.

3 0

3 years ago

Read 2 more answers