Answer:
the second one for #4 and the third one for #5
Step-by-step explanation:
4. The sum of x and y is 24, so x+y = 24. The difference is 15, so x-y = 15, or
y-x=15 (they didn't specify which was which). Therefore, A, C, and D are correct, so x = 15-y is the answer (x = 15-y is the same as x+y = 15, which is false).
5.
Matt = 6 apple pies + 4 lemon pies and he got 80 dollars.
Ming = 6 apple pies + 5 lemon pies and he got 94 dollars.
If apple pie is "a" and lemon is "l":
6a + 4l = 80
6a + 5l = 94,
so C is the answer
Answer:
9. the measure of DEF is 103°
10. the measure of DEG is 77°
11. 90°
Step-by-step explanation:
it's pretty simple, just take into consideration that the final measure of all the angles of a triangle must be 180°
Answer:
[22.57 ± 2.776]
Step-by-step explanation:
Hello!
You have the 95% Confidence Z-interval (21.182;23.958), the mean X[bar]= 22.57 and the sample size n=25.
The formula for the Z interval is
[X[bar] ±
]
The value of Z comes from tha standard normal table:

The semiamplitude (d) or margin of error (E) of the interval is:
E or d= (Upperbond- Lowerbond)/2 = (23.958-21.182)/2 = 2.776
[X[bar] ± E]
[22.57 ± 2.776]
I hope it helps!