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Bas_tet [7]
3 years ago
5

Tony has $727.29 in his checking account. He must maintain a $500 balance to avoid a fee. He wrote a check for $248.50 today. Wr

ite and solve an inequality to solve for the least amount of money he needs to deposit to avoid a fee.
Mathematics
1 answer:
aleksley [76]3 years ago
6 0
727.29 + 248.50 − x ≥ 500;
x ≥ $475.79 727.29 + 248.50 − x ≤ 500;
x ≤ $475.79 727.29 − 248.50 + x ≥ 500
 x ≥ $21.21 727.29 – 248.50 - x ≤ 500
 x ≤ $21.21
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CONDITIONAL PROBABILITY ASSISTANCE
Mars2501 [29]

Consider such events:

A - selected student is freshmen

B - selected student is girl

A\cap B - selected student is freshman is girl

A|B - choosen girl is freshmen.

Use formula Pr(A|B)=\dfrac{Pr(A\cap B)}{Pr(B)}.

From the table you can see that girls that are freshmen are 4 from all 30 people, then Pr(A\cap B)=\dfrac{4}{30}. There are 18 girls, then Pr(B)=\dfrac{18}{30}. Substitute into the formula:

Pr(A|B)=\dfrac{\frac{4}{30} }{\frac{18}{30} }=\dfrac{4}{18} =\dfrac{2}{9}.

Answer: Pr(A|B)=\dfrac{2}{9}.

4 0
3 years ago
The length of the shadow of an office building is 35 feet. At the same time of the day, Donovan Mitchell, who is 6.1 feet tall,
Vadim26 [7]

Answer:

175

Step-by-step explanation:

35 times 5 is 175

Hope This Helped

4 0
2 years ago
Which is the equation of a parabola with a directrix at y = −3 and a focus at (5, 3)?
kramer

Answer:

y = 1/12 (x − 5)²

Step-by-step explanation:

We can solve this graphically without doing calculations.

The y component of the focus is y = 3.  Since this is above the directrix, we know this is an upward facing parabola, so it must have a positive coefficient.  That narrows the possible answers to A and C.

The x component of the focus is x = 5.  Since this is above the vertex, we know the x component of the vertex is also x = 5.

So the answer is A. y = 1/12 (x−5)².

But let's say this wasn't a multiple choice question and we needed to do calculations.  The equation of a parabola is:

y = 1/(4p) (x − h)² + k

where (h, k) is the vertex and p is the distance from the vertex to the focus.

The vertex is halfway between the focus and the directrix.  So p is half the difference of the y components:

p = (3 − (-3)) / 2

p = 3

k, the y component of the vertex, is the average:

k = (3 + (-3)) / 2

k = 0

And h, the x component of the vertex, is the same as the focus:

h = 5

So:

y = 1/(4×3) (x − 5)² + 0

y = 1/12 (x − 5)²

3 0
2 years ago
Suppose that an object whose is 10th weighs 50 N find the weight of an object whose is 6 kg
Nady [450]
Weight is another term for the force from mass multiplied by acceleration due to gravity, the equation being expressed as f = ma, being force, mass, and acceleration respectively.

We already have 2 parts of the equation,50 = 10a 

Acceleration due to gravity on the planet is 5 m/s^2

Plug it into the equation f = ma

f=6kg x 5m/s^2

Weight or force from gravity is 60N.

8 0
3 years ago
What is the area of this figure? Use 3.14 for pi.
andrey2020 [161]

Answer:

24,53cm²

Step-by-step explanation:

rectangle area=length×width=7×3

=21cm²

circle area=1/2Π r²

=1/2×3.14×1.5×1.5

=3.5325cm²

add the two areas

21+3.53=24,53cm²

6 0
2 years ago
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