Let X represent the numbered marbles.
P(21≤ X ≤27) = 0.4332

P( 0 ≤ z ≤ 6/σx) = 0.4332; for this case, Z stands for the z-score
1.5 = 6/σx
solving for σx gives us 4
Answer:
4. A) 
3. A) 
2. D) 
1. C) 
Step-by-step explanation:
4. Two families combined must have at least 3 pets.
3. $1500 represents your total, making everything else straightforward, as the keywords at least indicate that the a sum of $1500 must be greater or equal to $1500.2. Find the correspondents, then identify the inequality to apply. Here, use less than or equal because overpaying is unnecessary.1. Eight dollars
for each
pizza and twelve dollars for each pizza yields 12x and 8x. The remainder follows logically, as we have our initial costs of $45 and $5, so Company A’s total would be less than Company B's total, leading directly to our conclusion.I’m happy to assist with any further queries.
The yearly sales total for mattresses equals 1,330.
The percentage of King size mattresses sold is 30% = 30/100 = 0.3
Now, we need to find the actual sales number using the following formula:
King size mattresses sold = Total mattresses sold in a year * Percentage of King size mattresses sold
King size mattresses sold = 1,330 * 0.3 = 399
King size mattresses sold = 399
The initial equation is

. The subsequent equation is

. By setting both equations equal, we can derive the following:


. Next, simplify:

. Then factor:

. Put x=0 or x=1 into the second equation to yield:

. Alternatively,

. Thus, the solutions are:

.
Answer:
Triangles would be congruent through ASA if Angle A is equal to Angle T.
Triangles would be congruent via AAS if Angle B matches Angle P.
Step-by-step explanation:
It is established that sides AC and TQ are congruent, along with angles BCA and PQT. If angles A and T are equal, we apply the ASA theorem. Similarly, if angle B equals angle P, we reference the AAS theorem.
Since only two options need to be selected, you can conclude your options there.