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PSYCHO15rus [73]
3 years ago
5

17. A line passes through the points (0,5) and (3, 11). Which of the following is the value of y when this line passes through x

= 10? (1) 16 (3) 21 (2) 19 (4) 25​
Mathematics
1 answer:
Igoryamba3 years ago
7 0

Answer:

(4) 25​

Step-by-step explanation:

First, find the slope using rise over run:

(y2 - y1) / (x2 - x1)

Plug in the points:

(11 - 5) / (3 - 0)

6 / 3

= 2

The y intercept, (0, 5), has already been given. Using the equation y = mx + b, plug in the slope and y intercept to create the equation:

y = mx + b

y = 2x + 5

Now, plug in 10 as x to find the value of y:

y = 2x + 5

y = 2(10) + 5

y = 20 + 5

y = 25

So, the correct answer is answer choice 4, 25.

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College courses taken in high school for which students automatically receive both high school and college credits is called ___
lina2011 [118]

The answer is D. Dual enrollment courses

5 0
3 years ago
Read 2 more answers
An exterior angle of an isosceles triangle has measure 130°. Find two possible sets of measures for the angles of the triangle.
frozen [14]
(1) it can be both exterior of vertex or base. 180-130=50°
vertex is 50°:     base=(180-50)/2=65°
base is 50°:       vertex= 180-2*50=80°

vertex 50 base 65; vertex 80, base 50

(2)base=180-130=50°
vertex=180-2*50=80°

base 50 vertex 80
5 0
3 years ago
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
Help pleaseee!!!!!!!!
irina [24]
The line equation is Y= - 1/2x +4
8 0
3 years ago
A student scored a 72, 75, and 83 on the first three tests. All tests have a possibility of 100 points (no bonus points). Is it
alexira [117]
Add 72, 75, and 83, which equal 230. Then, since there are three values, you divide the total (230) by 3, which would equal 76.6 (cont), therefore meaning they can only raise their average (using the three tests, from a base grade of 0) to a 76.6 percent (or 77 if teacher rounds grade)
7 0
3 years ago
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