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andreyandreev [35.5K]
3 years ago
14

Which relations are functions?

Mathematics
1 answer:
guapka [62]3 years ago
3 0

Answer:

The 1st and 2nd graph are functions while the 3rd and 4th aren't.

Step-by-step explanation:

The first and second graph doesn't have more than one output for each input. The third and fourth graph isn't a function since there's more than one output for the same input given. If you do the vertical line test, then you'll know which one is a function and which one is not a function. Hope this helps :)

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Tobias rented a kayak from a sports equipment store.
Ket [755]

Answer:

B

Step-by-step explanation:

Let x = every day he rented the kayak

Since the store charges $60 for each day, multiply x by 60 like this: 60x

They also have $25 on top of that; 60x + 25

This all has to equal $325; 60x + 25 = 325

To solve for x, subtract 25 from both sides

60x + 25 = 325

       - 25    - 25

60x = 300

Divide both sides by 60

60x/60 = 300/60

x = 5

This means Tobias rented the kayak for 5 days

7 0
2 years ago
Tina and her friend are picking apples at Newberry Orchard. The apples cost $1.40 per pound. If they pick 2.5 pounds of apples,
sp2606 [1]

Answer:

$3.50

Step-by-step explanation:

the apples cost $1.40 per pound, so if we have 2.5 pounds, we would need to do this:

1.40 × 2.5

3.5

I hope this helps!

8 0
3 years ago
If a parabola opens left what would be the equation
faust18 [17]
The answer is x=ay2+by+c
4 0
3 years ago
Assume that​ women's heights are normally distributed with a mean given by mu equals 62.5 in​,and a standard deviation given by
Misha Larkins [42]

Answer:

(a) 0.5899

(b) 0.9166

Step-by-step explanation:

Let X be the random variable that represents the height of a woman. Then, X is normally distributed with  

\mu = 62.5 in

\sigma = 2.2 in

the normal probability density function is given by  

f(x) = \frac{1}{\sqrt{2\pi}2.2}\exp{-\frac{(x-62.5)^{2}}{2(2.2)^{2}}}, then

(a) P(X < 63) = \int\limits_{-\infty}^{63}f(x) dx = 0.5899

   (in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2)

(b) We are seeking P(\bar{X} < 63) where n = 37. \bar{X} is normally distributed with mean 62.5 in and standard deviation 2.2/\sqrt{37}. So, the probability density function is given by

g(x) = \frac{1}{\sqrt{2\pi}\frac{2.2}{\sqrt{37}}}\exp{-\frac{(x-62.5)^{2}}{2(2.2/\sqrt{37})^{2}}}, and

P(\bar{X} < 63) = \int\limits_{-\infty}^{63}g(x)dx = 0.9166

(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2/sqrt(37))

You can use a table from a book to find the probabilities or a programming language like the R statistical programming language.

4 0
3 years ago
BRCA1 is a gene that has been linked to breast cancer. Researches at Stanford University wanted to estimate what proportion of w
Evgesh-ka [11]

Answer:

The point estimate for the proportion of women with BRCA1 mutation is 0.168

Step-by-step explanation:

The point estimate for the proportion of women with BRCA1 mutation is the number of women with this mutation divided by the size of the sample.

Of the 173, they found that 29 had BRCA1 mutations.

29/173 = 0.168

The point estimate for the proportion of women with BRCA1 mutation is 0.168

7 0
3 years ago
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