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earnstyle [38]
3 years ago
12

A line of best fit predicts that when x equals 30, y will equal 34.215, but y actually equals 32. What is the residual in this c

ase?
A. -2.215
B. 2.215
C. 4.215
D. -4.215
Mathematics
1 answer:
Katarina [22]3 years ago
4 0

Answer: A. - 2.215

Step-by-step explanation:

• A residual is the difference between the actual value and the predicted value in a regression model. It represents the vertical distance from the actual point to the point on the regression line.

\text{Residual=Actual value of y -predicted value of y}\\\\\Rightarrow\text{Residual}=32-34.215\\\\\Rightarrow\text{Residual}=-2.215

Hence, the residual in this case = -2.215

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lutik1710 [3]
<h3>Answer:</h3>

4.42×10^34 molecules/min

<h3>Step-by-step explanation:</h3>

Multiply the various factors, along with the unit conversion (60 s/min).

... (3.35×10^25 molecules/L) × (2.2×10^7 L/s) × (60 s/min)

... = (3.35×2.2×60)×10^(25+7) molecules/min

... = 442.2×10^32 molecules/min

... ≈ 4.42×10^34 molecules/min

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7 0
3 years ago
I need help with this​
Kruka [31]

Answer:

X=9/4

Step-by-step explanation:

-3x+10=5x-8

Subtract 10 from each sides

-3x=5x-18

Subtract 5x from both sides

-8x=-18

Divide both sides by -8

x=9/4

I hope this helped

3 0
2 years ago
omar is born weighing 8lb and 3oz. the doctor says he must gain 5 pounds for the next 4 weeks. how much should he weigh after th
lara31 [8.8K]

Answer: 91 pounds and 7 ounces

Step-by-step explanation:

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3 0
2 years ago
The graph below shows the amount of money left in the school’s desk fund, f, after d desks have been purchased. A graph titled D
natima [27]

Answer:

$110

Step-by-step explanation:

The computation is shown below:

Provided that

Number of desk purchased    Fund Left $

           0                                   700

           1                                    590

           2                                   480

           3                                   370

           4                                   260

           5                                   150

           6                                    40

Now the Fund decreased while purchasing is

= 5 desks - 2 desks

= 3 desks

i.e

= $480 - $150

= $330

Now the amount of money left for decreased the desk fund is

= \frac{Fund\ decreased }{number\ of\ desk\ decreased}

= \frac{\$330}{3\ desk}

= $110

3 0
3 years ago
Read 2 more answers
Thirty percent of all customers who enter a department store will make a purchase. Suppose that 6 customers enter the store and
torisob [31]

Answer:

Step-by-step explanation:

Let's use binomial distribution, because we are interested in find the total number of successes in a sequence of n independent experiments.

In probability, a binomial distribution is used in a Bernoulli process. That is, a sequence of experiments of n independent  trials, each asking a dichotomous question, that means it only has two answers. One answer is a success (probability: p) and the other is a failure (probability: 1-p). In this case, every customer who enters in the store is the experiment. If they make a purchase is a success event, taking into account that every purchase decision has to be independent.

P(X=x) = C(n,x)p^{x} (1-p)^{n-x}

x= total number of success

n= total number of experiments

p=probability of success on an indivual trial

C(n,x) = \frac{n!}{x!(n-x)!}

a) x= 5 ------> customers that make a purchase

n= 6 ------> total customers

p=0.3

p(X=5)= C(6,5)(0.3)^{5} (1-0.3)^{6-5} \\p(X=5)=0.102

b) At least 3 customers make a purchase. x ≥ 3

P(X\geq 3)=1-P (X=0)-P(X=1)-P(X=2)\\P(X\geq 3)=1-(C(6,0)(0.3^{0})(0.7)^{6}) - (C(6,1)(0.3^{1})(0.7)^{5}) - (C(6,2)(0.3^{2})(0.7)^{4})\\ P(X\geq 3) = 1-0.11765-0.30253-0.32414\\P(X\geq3)= 0.2557

c) At most 2 customers make a purchase. x ≤ 2

P(X\leq2) = P(X=0) + P(X=1) + P(X=2)\\P(X\leq2) = (C(6,0)(0.3^{0})(0.7)^{6}) + (C(6,1)(0.3^{1})(0.7)^{5}) + (C(6,2)(0.3^{2})(0.7)^{4})\\P(X\leq2) = 0.11765-0.30253-0.32414\\P(X\leq2)=0.7443

d)At least 1 customer makes a purchase. x ≥ 1

P(X\geq 1)=1-P(X=0)\\P(X\geq 1)= 1-C(0,6)(0.3)^{0}(0.7)^{6} \\P(X\geq 1)= 1-0.11765 = 0.8824

e)They must be kind to customers, always willing to help and give information about products clearly and honestly.

Have enough inventory and offer promotions for the purchase of more than one product

Have an agile payment system that avoids rows and delays in purchases.

6 0
3 years ago
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