Answer: -1.55
Step-by-step explanation:
Given : Mean :
Standard deviation :
Sample size :
Sample mean :
The test statistic for the population mean is given by :-
Hence, the value of z statistic = -1.55
Which rule describes a composition of transformations that maps pre-image PQRS to image P"Q"R"S"?
2 answers:
Answer:
Reflected across the y-axis composition 270 degree rotation about point O
Step-by-step explanation:
The transformation appears to be ...
(x, y) ⇒ (-y, -x)
__
Rotation 270° about the origin results in the transformation ...
(x, y) ⇒ (y, -x)
and reflection across the y-axis is the transformation
(x, y) ⇒ (-x, y)
The composition of these two transformations is the one we're looking for:
(x, y) ⇒ (-y, -x)
The rule of interest is 270° rotation about the origin followed by reflection across the y-axis. Written as a composition, this might be ...
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Answer:
2.45c + 1.65c = 4.12 + 0.75
Step-by-step explanation:
To write an equation to find the value for c, we need to declare what c is first.
c = price of fruit
2.45c + 1.65c = 4.12 + 0.75
Now we multiplied c to 2.45 and 1.65 and added them together, because whatever the value of c is will give us the equivalence of the sum of 4.12 + 0.75.
Now to check if the equation is right, let's solve for c.
2.45c + 1.65c = 4.12 + 0.75
4.1c = 4.87
Now to get the value of c, we divide both sides of the equation by 4.1.
c = 1.19
Now let's substitute the value of c in the equation to see if we got it right.
2.45(1.19) + 1.65(1.19) = 4.12 + 0.75
2.92 + 1.96 = 4.87
4.87 = 4.87
Therefore concluding that the value of c is 1.19.
Answer:
irrational
Step-by-step explanation:
A = s^2
s^2 = 24,200
P = 4s
The perimeter is irrational.
Given:
Paco's cell phone carrier charges him $0.20 for each text message he sends or receives, $0.15 per minute for calls, and a $15 monthly service fee. Paco is trying to keep his bill for the month below $30.
To Find:
The number of texts 't' Paco can send/receive in a month.
Answer:
best describes the number of texts he can send or receive to keep his bill less than $30 in a month.
Step-by-step explanation:
Paco wants to keep is monthly bill below $30.
We see that he has to pay a foxed monthly service fee of $15. This means he is only left with a limit of $30 - $15 = $15 for his monthly calls and texts.
That is, the amount he has to pay for texting and calling has to be less than $15.
For texts, the cell phone carrier charges $0.20 for sending/receiving texts.
For calls, he is charged $0.15 per minute.
Let the number of text messages Paco can send or receive in a month be denoted by 't'.
Let the number of minutes Paco can call in a month be denoted by 'c'.
Then, the total cost of text messages he can send or receive per month would be 0.20t and the total cost of the minutes he spends on calls would be 0.15c. Together, the sum of these has to be less than $15 if his monthly bill has to be kept less than $30 (accounting for the monthly service fee).
So,
The number of texts he can send will dpend on the number of minutes he spends on his calls. For Paco to spend maximum number of texts, he has to spend 0 minutes on calls.
So, putting c = 0, the aboce equation can be written as
That is, Paco has to send and receive less than 75 texts.
So,
best describes the number of texts he can send or receive to keep his bill less than $30 in a month.