Answer:
The third choice
Step-by-step explanation:
We need to find the slope and y-intercept of the line and then put it into y = mx = b form. To find the slope, pick a point on the line; I will use (-2, 5); count how many units up you need to go to get to the next point on the line, which in this case it would be 3. The count how many to the right or left you would need to go, which is 1 to the left. Moving left means a negative, so it is -1. Your slope fraction would be 
, since slope is rise over run. You can sub this fraction in for m in y = mx + b, which will give you a revised equation of y = -3x = b. To find the y intercept, or b, just find the point where the line crosses the y-axis, which is -1. So, the equation is now y = -3x - 1.The correct answer is third choice.
The movement of the minute hand is circular.
Tangence speed is V=2Rπ/T= 2*7*3.14/3600 inches/sec=0.012211 inches/sec
The path (distance) that minute hand past is D=V*t = 0.012211 * 5 min= 0.012211 * 300sec=>
D=3.663≈3.66 inches
Good luck!!!
Answer:
There is enough evidence to support the claim that the population mean is greater than 100
Step-by-step explanation:
<u>Step 1</u>: We state the hypothesis and identify the claim
and 
(claim)
<u>Step 2</u>: Calculate the test value.
<u>Step 3</u>: Find the P-value. The p-value obtained from a calculator is using d.f=39 and test-value 1.126 is 0.134
<u>Step 4</u>: We fail to reject the null hypothesis since P-value is greater that the alpha level. (0.134>0.05).
<u>Step 5</u>: There is enough evidence to support the claim that the population mean is greater than 100.
<u>Alternatively</u>: We could also calculate the critical value to obtain +1.685 for 
and d.f=39 and compare to the test-value:
The critical value (1.685>1.126) falls in the non-rejection region. See attachment.
NB: The t- distribution must be used because the population standard deviation is not known.
This is the concept of algebra, we are required to get the equation that would be a constraint in the system of equation,
The total amount that the farmer want to make is $7000
amount he can make per acre of land is $2000, the amount he can make per acre will $1000. The variable representing peas and carrots are p and c retrospectively;
The total amount made from this can be represented by the equation below;
Total amount made by p acres of peas will be:
2000*p=$ 2000p
Total amount made by c acres of carrots:
1000*c=$1000c
Total amount will be given by:
2000p+1000c=7000
this can be simplified by dividing through by 1000 to get:
p+c=7
The correct answer is C.
Answer:
Hey there!
Angela will have 7+2, or 9 cups of rice.
Let me know if this helps :)
