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Ksenya-84 [330]
3 years ago
10

The table below represents a linear function f(x) and the equation represents a function g(x):

Mathematics
1 answer:
Goshia [24]3 years ago
6 0
The slope of f is 10 because as x increases by 1, f(x) increases by 10.The slope of g is lesser at 5, because every time x increases it only increases by 5. By plugging in 1 and 2 to g(x), we can see that g(2)=11, which is 5 more than g(1)=6.
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The freshman class at West High is planning an adventure park event. The park charges $300 for a group day pass with an addition
Elanso [62]

Answer:

C

Step-by-step explanation:

Key in the expression is "s" that represents students going to the trip

The first part shows what the adventure park is going to charge, a group day charge of $300 and $30 more for the students taking the ropes course

300+30*s

The second being the amount the class can get, $500 the have in the account and $25 per student in tickets they have to sell

500+25s

The result of this subtraction is the money they need to raise to complete

C: The expression shows how much money the freshman class may need to raise in order to afford the event

7 0
3 years ago
A consumer products company found that 44​% of successful products also received favorable results from test market​ research, w
Korolek [52]

Answer:

  1. 0.80
  2. 0.289
  3. 0.20
  4. 0.711

Step-by-step explanation:

Given:

P(S\cap F)=0.44\\P(S\cap F^{c})=0.13\\P(S^{c}\cap F^{c}) = 0.32\\P(S^{c}\cap F) = 0.11

The rule of total probability states that:

P(A) = P(A\cap B) + P(A\cap B^{c})

Compute the individual probabilities as follows:

P(S) = P(S\cap F) + P(S\cap F^{c})\\=0.44+0.13\\0.57

P(S^{c}) = 1 - P(S)\\=1-0.57\\=0.43

P(F) = P(S\cap F) + P(S^{c}\cap F)\\=0.44+0.11\\=0.55

P(F^{c})=1-P(F)\\=1-0.55\\=0.45

Conditional probability of an event A given B is:

P(A|B)=\frac{P(A\cap B)}{P(B)}

  • Compute the value of P(S|F):

         P(S|F)=\frac{P(S\cap F)}{P(F)}\\=\frac{0.44}{0.55}\\=0.80

  • Compute the value of P(S|F^{c})

        P(S|F^{c})=\frac{P(S\cap F^{c})}{P(F^{c})}\\=\frac{0.13}{0.45}\\=0.289

  • Compute the value of P(S^{c}|F)

        P(S^{c}|F)=\frac{P(S^{c}\cap F)}{P(F}\\=\frac{0.11}{0.55}\\=0.20

  • Compute the value ofP(S^{c}|F^{c})

       P(S^{c}|F^{c})=\frac{P(S^{c}\cap F^{c})}{P(F^{c})}\\=\frac{0.32}{0.45}\\=0.711

3 0
4 years ago
One number is four times another number. The sum of their reciprocals is 1/4 . What is the answer
Yakvenalex [24]
Using the information from the question, one can construct two equations:

4 z = x  ...  (1)

\frac{1}{z}  +   \frac{1}{x}   ... (2)

by substituting (1) into (2) to find x

\frac{1}{z} +  \frac{1}{4z}  =   \frac{1}{4}

\frac{5}{4z}  =   \frac{1}{4}

\frac{5}{4z}  =   \frac{1}{4}  

\frac{4z}{5}  =   \frac{4}{1}

\frac{4z}{1}  =   \frac{20}{1}

z =   \frac{20}{4}

⇒ z = 5

By substituting value of z into (1)

⇒ 4 (5) = x

⇒ x = 20

Thus the two numbers are 5 & 20 



4 0
3 years ago
Read 2 more answers
Sam read 2/5 of her book over the weekend and 1/6 of it on Monday. What fraction of the book has she read? What fraction of the
tiny-mole [99]
2/5 + 1/6 = 12+5/30 = 17/30
30/30 is the whole book so, 30/30 - 17/30 = 13/30
Sam had to read 13/30 of the book.
8 0
3 years ago
Read 2 more answers
When she uses her driver, a golfer has the ability to land in the fairway 75% of the time and she uses her driver 12 times
VashaNatasha [74]
Is the question what is 75% of 12? If it is, 75% of 12 is 9.
Explanation:
5 0
3 years ago
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