Answer:
3. 9
4. 5 pounds
5. 5/12 of a pound
Step-by-step explanation:
3. "at least 3/8" means to include that column in the count.
4. 3(1/4) + 4(3/8 ) + 3(1/2) + 2(5/8)
= 3/4 + 12/8 + 3/2 + 10/8 but we need a common denominator. LMK in the comments if you need help with that
= 6/8 + 12/8 + 12/8 + 10/8
= 40/8
= 5 pounds.
5. For the average, we add up all the weights, then divide by the number of kittens. Thankfully, we just added everything up in #4. Since we're going to be dividing 5 by 12, we'll end up with a decimal. But since the whole problem was written in fractions, we'll keep it in fractions.
40/8 divided by 12 kittens
40/8 divided by 12 = 40/8 muliplied by the inverse of 12 which is 1/12
40/8 x 1/12
= 40/96
Our numerator and denominator can be evenly dived by 8, so the fraction is reduced to
= 5/12
I'm happy to answer any questions.
Answer:
3 patients had all the three complaints
Step-by-step explanation:
Let U be the set of patients who reported at the hospital on that day
Let F be the set of patients who complained of fever
Let S be the set of patients who had stomach troubles
Let I be the set of injured patients
Then the given data can be written as:
- n(U) = n(F∪S∪I) = 100
- n(F) = 70
- n(S) = 50
- n(I) = 30
- n(F∩S) + n(S∩I) + n(I∩F) - 3×n(F∩S∩I) = 44
n(F∩S∩I) = ?
Using the formula for the cardinal number of union of three sets:
n(F∪S∪I) = n(F) + n(S) + n(I) - n(F∩S) - n(S∩I) - n(I∩F) + n(F∩S∩I)
100 = 70 + 50 + 30 - (44 + 3×n(F∩S∩I)) + n(F∩S∩I)
100 = 150 - 44 - 2×n(F∩S∩I)
2×n(F∩S∩I) = 106 - 100 = 6
<u>n(F∩S∩I) = 3</u>
Answer:
Rate of change = -5/6 & Initial value = 5
Step-by-step explanation:
Rate of change = rise/run = -5/6
Initial value = y -intercept = 6
Answer:
$1
Step-by-step explanation:
Answer:
This differs from non-rigid motion, like a dilation, where the size of the object can increase or decrease. When working with rigid motion, you will typically see two objects that show the transformation.
Step-by-step explanation:
