Answer:
Option (D)
x = 5
Step-by-step explanation:
Since point E is in the mid of the segment DF,
Therefore, by the Segment addition postulate,
DF = DE + EF
Since DF = (8x - 3), DE = (x - 3) and EF = (6x + 5)
By substituting these values in the given postulate,
(8x - 3) = (x - 3) + (6x + 5)
8x - 3 = (x + 6x) + (5 - 3)
8x - 3 = 7x + 2
8x - 7x = 3 + 2
x = 5
Therefore, x = 5 will be the answer.
Answer: Type I error
Step-by-step explanation:
A type 1 error is also referred to as the false positive and it is when a true null hypothesis is incorrectly rejected by the researcher.
On the other hand, type II error which is also refered to as the false-negative is when a null hypothesis which is false is failed to be rejected by the researcher but rather accepted.
Based on the information given in the question, since the data leads to the rejection of the null hypothesis such was later found out to be true, then a type I error has occured.
Answer:
Sue must use 3 hotdogs and 4 half-cup serving of baked beans.
Step-by-step explanation:
Let the number of hot dogs be represented by h
Let the number of baked beans be represented by b
Hot dogs have 13 grams of fat and 145 calories each
Baked beans have 8 grams of fat and 330 calories per half cup serving
Sue wants to plan a meal with 71 grams of fat and 1755 calories.
Grams of Fat from Hotdog + grams of fat from baked beans=71
13h+8b=71....(I)
Similarly,
Calories from hot dog + Calories from baked beans=1755
145h+330b=1755....(II)
We then solve Equations (I) and (II) simultaneously.
13h+8b=71....(I)
145h+330b=1755....(II)
Multiply equation 1 by 145 and equation 2 by 13
1885h+1160b=10295
1885h+4290b=22815
Subtracting
-3130b=-12520
b=4
Substitute b=4 into (I)
13h+(8X4)=71
13h=71-32
13h=39
h=3
Sue must use 3 hotdogs and 4 half-cup serving of baked beans.
1.5 yards of ribbon per bow
84 bows need to be made, so 1.5 x 84 = 126 yards
1 yard = 0.33 feet, so 126/0.33=381.8181 (ans must round up)
So Jeanne will need 382 feet of ribbon
