Can I get a pog for reaching ambitious rank?

Thomas bought 4 shirts from a store. The price of each shirt was the same. After he bought the shirts, his account balance showe

ludmilkaskok [199]

$89.08 divided by 4 is $22.27, aka the price of one shirt

8 0

3 years ago

Read 2 more answers

Subtract the sum of -1250 and 1138 from the sum of 1136 and 1272

Whitepunk [10]

<h3>(1136+1272)-(1138+{-1250})</h3><h3>=2408-(-112)</h3><h3>=2408+112</h3><h3>=2520</h3><h3>the answer is 2520</h3><h2 /><h2 /><h2>hope it helped :-)</h2>

5 0

3 years ago

Read 2 more answers

This graph shows the temperature of a room over time.

Arturiano [62]

Answer:

<u>The correct answer is C. Aaron turns on the heat and the temperature of a conference room steadily increases. After the room becomes a comfortable temperature, Aaron turns off the heat and the temperature in the room stays the same for a while. Aaron’s coworker says it is too hot in the room, so Aaron turns on the air conditioner. The temperature in the room steadily decreases. Aaron gets cold again and turns the heat back on so that the temperature of the room steadily increases. Again, when the room becomes comfortable, Aaron turns off the heat and the temperature of the room stays the same.</u>

Step-by-step explanation:

1. Let's see what happens in the conference room the first 20 minutes, according to the graph:

The temperature increase from 65 °F to 75 °F. This fact discards immediately answer B, that mentions that "the temperature of the room decreases steadily to a comfortable temperature".

2. Let's see what happens in the conference room the next 20 minutes (between minutes 20 and 40), according to the graph:

The temperature remains at 75 °F, at a comfortable temperature, during these 20 minutes. This fact discards answer D because it mentions that the "room becomes too hot", which is not true because the additional 10 °F of increase is most likely, not "too much" and it also considers 65 °F as "too cold".

3. Let's see what happens in the conference room between minutes 40 and 50, according to the graph:

In ten minutes, the temperature decreases from 75 °F to 65 °F, which was the original temperature of the room. No big difference between answers A and C, the only that are still valid.

4. Let's see what happens in the conference room between minutes 50 and 80, according to the graph:

In these 30 minutes, the temperature of the conference room again increases between minutes 50 and 70 from 65 °F to 75 °F. This last fact discards the answer A, that mentions that " finally, Aaron turns the heat back on and the temperature of the room increases steadily for the rest of the conference". What actually happened is that the temperature becomes comfortable again and stays the same the rest of the conference.

<u>This is a detailed explanation why we discard answers A, C and D and we select answer C as the right one.</u>

6 0

3 years ago

The Slow Ball Challenge or The Fast Ball Challenge.

cupoosta [38]

Answer:

Fast ball challenge

Step-by-step explanation:

Given

Slow Ball Challenge

$Pitches = 7$

$P(Hit) = 80\%$

$Win = \$60$

$Lost = \$10$

Fast Ball Challenge

$Pitches = 3$

$P(Hit) = 70\%$

$Win = \$60$

$Lost = \$10$

Required

Which should he choose?

To do this, we simply calculate the expected earnings of both.

Considering the slow ball challenge

First, we calculate the binomial probability that he hits all 7 pitches

$P(x) =^nC_x * p^x * (1 - p)^{n - x}$

Where

$n = 7$ --- pitches

$x = 7$ --- all hits

$p = 80\% = 0.80$ --- probability of hit

So, we have:

$P(x) =^nC_x * p^x * (1 - p)^{n - x}$

$P(7) =^7C_7 * 0.80^7 * (1 - 0.80)^{7 - 7}$

$P(7) =1 * 0.80^7 * (1 - 0.80)^0$

$P(7) =1 * 0.80^7 * 0.20^0$

Using a calculator:

$P(7) =0.2097152$ --- This is the probability that he wins

i.e.

$P(Win) =0.2097152$

The probability that he lose is:

$P(Lose) = 1 - P(Win)$ ---- Complement rule

$P(Lose) = 1 -0.2097152$

$P(Lose) = 0.7902848$

The expected value is then calculated as:

$Expected = P(Win) * Win + P(Lose) * Lose$

$Expected = 0.2097152 * \$60 + 0.7902848 * \$10$

Using a calculator, we have:

$Expected = \$20.48576$

Considering the fast ball challenge

First, we calculate the binomial probability that he hits all 3 pitches

$P(x) =^nC_x * p^x * (1 - p)^{n - x}$

Where

$n = 3$ --- pitches

$x = 3$ --- all hits

$p = 70\% = 0.70$ --- probability of hit

So, we have:

$P(3) =^3C_3 * 0.70^3 * (1 - 0.70)^{3 - 3}$

$P(3) =1 * 0.70^3 * (1 - 0.70)^0$

$P(3) =1 * 0.70^3 * 0.30^0$

Using a calculator:

$P(3) =0.343$ --- This is the probability that he wins

i.e.

$P(Win) =0.343$

The probability that he lose is:

$P(Lose) = 1 - P(Win)$ ---- Complement rule

$P(Lose) = 1 - 0.343$

$P(Lose) = 0.657$

The expected value is then calculated as:

$Expected = P(Win) * Win + P(Lose) * Lose$

$Expected = 0.343 * \$60 + 0.657 * \$10$

Using a calculator, we have:

$Expected = \$27.15$

So, we have:

$Expected = \$20.48576$ -- Slow ball

$Expected = \$27.15$ --- Fast ball

<em>The expected earnings of the fast ball challenge is greater than that of the slow ball. Hence, he should choose the fast ball challenge.</em>

5 0

3 years ago

Find the measure of

Alborosie

Angle B is HALF of the sum of the two angles it intercepts.

Since it intercepts 48 and 142 degrees, simply add them add divide by 2:
B = (48 + 142)/2
B = 190/2
B = 95

The measure of angle B is 95 degrees.
-T.B.

4 0

3 years ago