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kicyunya [14]
3 years ago
8

Write an inequality for the following: Joe has $53. He needs at least $76 to buy the jacket he wants. How much more money does h

e need for the jacket?
Mathematics
1 answer:
xz_007 [3.2K]3 years ago
5 0
He must have at least 76 dollars to buy the jacket.  Set x to the amount of money he needs.  We have:

76 \leq 53+x

This is because 76 is less than or equal to the extra money he has plus the original $53.
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Yahoo creates a test to classify emails as spam or not spam based on the contained words. This test accurately identifies spam (
Amiraneli [1.4K]

Answer and Step-by-step explanation:

The computation is shown below:

Let us assume that

Spam Email be S

And, test spam positive be T

Given that

P(S) = 0.3

P(\frac{T}{S}) = 0.95

P(\frac{T}{S^c}) = 0.05

Now based on the above information, the probabilities are as follows

i. P(Spam Email) is

= P(S)

= 0.3

P(S^c) =  1 - P(S)

= 1 - 0.3

= 0.7

ii. P(\frac{S}{T}) = \frac{P(S\cap\ T}{P(T)}

= \frac{P(\frac{T}{S}) . P(S) }{P(\frac{T}{S}) . P(S) + P(\frac{T}{S^c}) . P(S^c) }

= \frac{0.95 \times 0.3}{0.95 \times 0.3 + 0.05 \times 0.7}

= 0.8906

iii. P(\frac{S}{T^c}) = \frac{P(S\cap\ T^c}{P(T^c)}

= \frac{P(\frac{T^c}{S}) . P(S) }{P(\frac{T^c}{S}) . P(S) + P(\frac{T^c}{S^c}) . P(S^c) }

= \frac{(1 - 0.95)\times 0.3}{ (1 -0.95)0.95 \times 0.3 + (1 - 0.05) \times 0.7}

= 0.0221

We simply applied the above formulas so that the each part could come

8 0
3 years ago
What is the value of 4p-2 when p=8
3241004551 [841]

Answer: Hence, the value of expression is 30 when p = 8.

Step-by-step explanation:

Since we have given that

4p-2

and we have p = 8.

So, we substitute the value of p in the above expression.

so, it becomes,

4(8)-2\\\\4\times 8-2\\\\=32-2\\\\=30

Hence, the value of expression is 30 when p = 8.

3 0
3 years ago
Point M is the midpoint of segment AB. If AM = 50 – 3x and MB = –20 + 4x, find the value of AM
love history [14]
The answer to your question is 20
4 0
3 years ago
Read 2 more answers
Apr 17, 1:42:09 AM
SVEN [57.7K]

Answer:

(-1, 5)

Step-by-step explanation:

3 [x + y = 4]

  3x + 3y = 12

-  3x + 7y = 32

-4y = -20

y = 5

x + 5 = 4

x = -1

3 0
2 years ago
Write an expression using an exponent to represent the
Ghella [55]

Answer: 4 to the power of 4

Step-by-step explanation: Adrian started of with $4 and by month 4 he will have 256. 4•4•4•4=256

3 0
3 years ago
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