1) A Rectangle has a length of 4x+2 and a width of 7x+6. The

On a piece of paper, graph yz -2x - 2. Then determine which answer choice

alukav5142 [94]

Answer:

B

Step-by-step explanation:

y≥-2x-2

put x=0,y=0

0≥-2

which is true.

so (0,0) lies on it.

graph is a solid line.

so B satisfies it.

3 0

2 years ago

What word describes the equal shares of the shape

nexus9112 [7]

The word that describes it is congruent

7 0

2 years ago

AB ≅ BC and AD ≅ CD What additional information would make it immediately possible to prove that triangles AXB and CXB are congr

kobusy [5.1K]

It is given that, B ≅ BC and AD ≅ CD

We need BD perpendicular to AC, then only we can say triangles AXB and CXB are congruent using the HL theorem.

If BD perpendicular to AC, means that AB and CB are the hypotenuse of triangles AXB and CXB respectively.

from the given information ABCD is a square

If BD and AC bisect each other then AX = CX

Then only we can immediately possible to prove that triangles AXD and CXD are congruent by SSS congruence theorem

5 0

3 years ago

Read 2 more answers

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:

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