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goldfiish [28.3K]
2 years ago
9

Which ordered pair would form a proportional relationship with the point graphed below​

Mathematics
2 answers:
butalik [34]2 years ago
8 0
Your answer should be b
mr_godi [17]2 years ago
6 0

Answer:

(15,-30) when y=-2x

Step-by-step explanation:

As you can see in the point in the graph the relationship between x and y would be y=-2x or y=x+60, but since proportional relationships require that y equals x times something that is not an option.

So we just have to evaluate the possibilities from the points given for this problem with the relationship found:

(-40,20)

y=-2x> y=-2(-40)>  y=80>  since y is not equal to 80 this one is wrong

(-10,-20)

y=-2x> y=-2(-10)> y=20 since y= 20 is not true this is wrong

(15,-30)

y=-2x> y=15(-2)> y=-30 since y=-30 this is correct

(5,-15)

y=-2x> y=-2(5)> y=-10 since y=-10 is not true, this is wrong

So after evaluating the options we know that the correct one that would create a proprotional relationship would be (15,-30)

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Initially, there were only 197 weeds at a park. The weeds grew at a rate of 25% each week. The following function represents the
Anarel [89]

Answer:

  D.)  f(x) = 197(1.03)^(7x); grows at a rate of approximately 3% daily

Step-by-step explanation:

The growth equation can be written in terms of a rate compounded 7 times per week:

  f(x) = 197×1.25^x = 197×(1.25^(1/7))^(7x)

  f(x) ≈ 197×1.0324^(7x) . . . . x represents weeks, a daily growth factor is shown

The daily growth rate as a percentage is the difference between the daily growth factor and 1, expressed as a percentage:

  (1.0324 -1) × 100% = 3.24%

The best match is choice D:

  f(x) ≈ 197(1.03^(7x)); grows approximately 3% daily

4 0
2 years ago
Read 2 more answers
According to a study conducted by the Toronto-based social media analytics firm Sysomos, 71% of all tweets get no reaction. That
timama [110]

Answer:

Let X the random variable of interest "number of tweets with no reaction", on this case we now that:

X \sim Binom(n=100, p=0.71)

And the expected value is given by:

E(X) = np =100*0.71 = 71

So we expect about 71 tweets with no reaction for this case.

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

Solution to the problem

Let X the random variable of interest "number of tweets with no reaction", on this case we now that:

X \sim Binom(n=100, p=0.71)

And the expected value is given by:

E(X) = np =100*0.71 = 71

So we expect about 71 tweets with no reaction for this case.

3 0
2 years ago
A maple syrup company is making a new label for its barrels of syrup. If the barrels are 5 feet tall and have a radius of 2 feet
Elanso [62]

Answer:

(A)62.8 square feet

Step-by-step explanation:

Height of the barrels = 5 feet

Radius of the barrels= 2 feet

\pi=3.14

The barrel is in the shape of a cylinder and the area of the label the company needs is that of the round sides(curved surface area) of the cylinder.

Curved Surface Area of a Cylinder=2\pi rh

=2X3.14X2X5

=62.8 square feet

The company need 62.8 square feet of label.

7 0
2 years ago
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VikaD [51]

Answer:

A. 6 units left and 9 units down

Step-by-step explanation:

Given:

y = (x – 5)^2 + 7

y = (x +1)^2 - 2

The graph of y = (x – 5)^2 + 7 is a parabola 5 units right and 7 units up

The graph of y =  (x +1)^2 - 2 is a parabola 1 unit left and 2 units down

Transformation is the difference in the shift

Transformation = 6 units left and 9 units down.

Therefore, answer A. 6 units left and 9 units down

Hope this will helpful.

Thank you.

4 0
2 years ago
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A certain company reported selling 5,000 toys during the month of January and expects sales to grow at a rate of 7.5% per month
artcher [175]
The formula is
Fv=p [(1+r)^(t)-1)÷r)
Fv ?
P 5000
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T 6. June
Fv=5000 [(1+0.075)^(6)-1)÷0.075]
Fv=36220....answer

6 0
2 years ago
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