Please classify the following equations as parallel, perpendicular, intersecting, or coinciding (same line):

Can someone please help me I really need help please help me thank you

Scilla [17]

A shape with 4 angles always have 360 degrees altogether.

Which means:
43 + 167 + 90 + y = 360
y = 360 - 43 - 167 - 90
y = 60

4 0

3 years ago

An automobile manufacturer has given its van a 31.3 miles/gallon (MPG) rating. An independent testing firm has been contracted t

Fynjy0 [20]

Answer:

$z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82$

The p value for this case would be given by:

$p_v =2*P(z$

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG

Step-by-step explanation:

Information given

$\bar X=31.1$ represent the sample mean

$\sigma=1.3$ represent the population standard deviation

$n=140$ sample size

$\mu_o =31.3$ represent the value that we want to test

$\alpha=0.02$ represent the significance level for the hypothesis test.

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true mean is equal to 31.3 MPG, the system of hypothesis would be:

Null hypothesis: $\mu =31.3$

Alternative hypothesis: $\mu \neq 31.3$

Since we know the population deviation, the statistic is given by

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

Replacing we got:

$z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82$

The p value for this case would be given by:

$p_v =2*P(z$

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG

4 0

3 years ago

beni is shopping for a new cell phone plan. company a charges$72.25for a new phone and $85.50 per month.company b charges $151.2

tigry1 [53]

Missing questions and subsequent solutions:
(a) Write an equation for company A for cost, C, number of months, n, that Beni will pay for the phone.

Solution:
For company A:
C = 72.25 + 85.50n

(b) Write an eqyation for company B for cost, C, and number of months, n, that Bei will pay for the phone.

Solution:
For company B:
C = 151.25 + 65.75n

(c) Write an inequality when the cost from company A is better than cost from company B.

Solution:
72.25 + 85.50n ≤ 151.25 + 65.75n
(85.50-65.75)n ≤ (151.25 - 72.25)
19.75 n ≤ 79
n ≤ 4

(d) Value of n for which cost from the two companies will be the same.

Solution:
If cost for companies A and B are the same, then
72.25 + 85.50n = 151.25 + 65.75n
(85.5 - 65.75)n = 151.25 - 72.25
19.75n = 79
n = 79/19.75 = 4 months

After 4 months,
C = 72.25 + 85.5*4 = $414.25

7 0

3 years ago

Determine if the two triangles are congruent. If they are, state how you know.

mr Goodwill [35]

Answer:

B) SAS

Step-by-step explanation:

The angles between the two known equal sides are called a vertical angle and are equal. Thus you know Side-Angle-Side proves congruency.

6 0

3 years ago

Which of the following events are dependent?

cestrela7 [59]

Answer:

A. Archie and Harris take turns picking yellow- or purple-colored chips from a dish.

C. Lily draws a marble from a bag filled with red and blue marbles, places her selection in a separate bag, and draws from the original bag of marbles again.

Step-by-step explanation:

Two events will be dependent if the first event influences the probability of the second event. If the first event takes something and doesn't put it back, that means the second event can't pull the same roll and the total pool of items changed.

A. Beth and Corrie take turns picking a card at random and recording each outcome. They replace the selected card at the bottom of the pile after each turn.

This option put replace the card, so it is independent

B. Archie and Harris take turns picking yellow- or purple-colored chips from a dish.

No replacement, the event should be dependent.

C. Jared pulls out a sock from the laundry basket containing white and black socks, puts it back, and then draws another sock at random.

This option put back the pulls, so it is independent

D. Lily draws a marble from a bag filled with red and blue marbles, places her selection in a separate bag, and draws from the original bag of marbles again.

No replacement for the marble taken, each draws probability should depend on the earlier draw result.

8 0

3 years ago