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3 years ago

9

Tim’s mom filled the gas tank in her SUV and spent $82.00 for 25.5 gallons of unleaded gasoline. What is the constant of proport

ionality that relates the cost in dollars, y, to the number gallons of unleaded gasoline, x? true or false

1 answer:

joja [24]3 years ago

8 0

I just don’t know what to say I look like a little bit confused lol lol

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a square with an area of 25 in.^2 is plotted on a grid so that the bottom-left corner is at the origin. The side of the square a

bazaltina [42]

Answer:

Reflection about the vertical line x = 2.5 inches will map the square unto itself

Step-by-step explanation:

The given parameters are;

The area of the square = 25 in²

The orientation of the sides of the square are horizontal and vertical

Therefore, we have;

The area, A, of the square given by the following relation;

A = Side²

A = 25 in²

Therefore;

The area of the square = 25 = side²

The length of the sides of the square = √A = √25 = 5

The length of the sides of the square = 5 inches

The reflection of a figure that maps the figure unto itself is a reflection along the line of symmetry

One of the line of symmetry that divides the square into two similar halves is the vertical straight that passes half way through the horizontal side, which is the point 2.5 inches to the right on the x-axis with the coordinates (2.5, 0)

Therefore, reflection about the line x = 2.5 inches will map the square unto itself.

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2 years ago

17. Let A denote the event that the next request for assistance from a statistical software consultant relates to the SPSS packa

ankoles [38]

Answer:

a. The probability is not equal to 1

b. P (A') = 0.70

c. P ( A U B ) = 0.80

d. P ( A' ∩ B' ) = 0.20

Step-by-step explanation:

a. Because these A and B are disjoint

b. since the probability of A is 0.30 then the probability of A compliment is

P(A compliment ) = 1 - P (A)

P(A compliment ) = 1-0.30

P(A compliment ) = 0.70

c. Since event are disjoint then intersection of A and B is 0, so probability of A U B is;

P ( A U B ) = P (A) + P(B) - P(A∩ B)

P ( A U B ) = 0.30 + 0.50 - 0

P ( A U B ) = 0.80

d. The inetrsection of compilments of A and B are:

by using De Morgan's Law we have,

P ( A' ∩ B' ) = P [(A U B )']

P ( A' ∩ B' ) = 1 - P ( A U B )

P ( A' ∩ B' ) = 1 - 0.80

P ( A' ∩ B' ) = 0.20

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2 years ago

Do the right side<br> show work<br> 2,4,6,8,10

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Answer:

tjownnjdusisij2nmw9sol3

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2 years ago

HELLO PLEASE PLS PLS PLS ANSWER ASAP!! WILL GIVE BRAINLIEST ONLY TO RIGHT ANSWER

Zigmanuir [339]

Answer:

-1

Step-by-step explanation:

the answer is -1 because t is -16, so add -16+5 and that is -11, then divide by 11 and the answer is -1

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3 years ago

There are 10 cranberry and 15 strawberry juices. You randomly pick two juices. What's the probability you'll get two strawberry

lorasvet [3.4K]

Answer:

7/20

Explanation:

The theoretical probability, P (A), of an event, A, is:

P(A) = number of outcomes of event A / total number of possible outcomes

For 10 cranberry and 15 strawberry juices, the number of outcomes for two strawberry juices are:

Combination of 15 strawberry juices chosen in two:

$C^{15}_{2}=\frac{15!}{(15-2)!(2!)}=\frac{15!}{13!2!}=\frac{15\times 14}{2}=105$

The total number of possible outcomes is:

Combination of 25 juices chosen in two:

$C^{25}_{2}=\frac{25!}{(25-2)!(2!)}=\frac{25!}{23!2!}=\frac{25\times 24}{2}=300$

Thus, the probability of randomly picking two strawberry juices is:

P (two strawberry juices) = 105/300 = 7/20

Note that you can obtain it as the product of the probabilities that the first juice is a strawberry juice and the second juice is also strawberry juice:

$15/25\times 14/24=(15\times 25)/(14\times 24)=210/600=7/20$

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3 years ago