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coldgirl [10]
2 years ago
7

Mark shoots arrows at a target and hits the bull's-eye about 40% of the time. find the probability that he hits the bull's-eye o

n the fourth shot
Mathematics
1 answer:
tiny-mole [99]2 years ago
4 0
The answer to this question would be: 40% or 0.4

In this question, you are asked the probability of hitting bull's eye on the fourth shot. This event is only one(only fourth, not all four shot) and should be independent to the first 3 shots. That mean, the chance should still 40% since every shot chance is 40%.
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Fabio is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be model
ohaa [14]

Answer:

(2, 11/2)

Step-by-step explanation:

This is a vertical parabola; we know that because x is squared here, while y is not.  The standard equation of a vertical parabola with vertex (h,k) is

4p(y-k) = (x-h)^2, where p is the distance between the vertex and the focus.  Comparing

4p(y-k) = (x-h)^2 to

10(y-3)  = (x-2)^2, we see that 4p = 10.  Therefore, p = 10/4 = 5/2, which is the vertical distance between the focus and the vertex.

Since the coordinates of the vertex are easily read from the given equation

(x-2)^2=10(y-3):  (h,k) = (2, 3)

all we need to do is to add p (5/2) to the y-coordinate (3);

The focus is at (2, 3 + 5/2), or (2, 11/2).

3 0
2 years ago
Triangles ABC, EDC, and EFG are similar triangles. The measures of the three interior angles of triangle EFG are °, °, and °.
Misha Larkins [42]
Because of the vertical angles theorem, BAC becomes 50°. And angle B is 180-(50+30)=100.

If all 3 triangles are similar, the angles of triangle EFG are 30°, 50°, 100°
4 0
2 years ago
Read 2 more answers
For her vacation Mrs. Andrews bought $300 worth of traveler's checks in $10 and $20 denominations
Nookie1986 [14]

Option C

The expression 20(22 - x) represents the value of the $20  traveler's checks she has.

<u>Solution:</u>

Given, For her vacation Mrs. Andrews bought $300 worth of traveler's checks in $10 and $20 denominations travelers checks in all,  

We have to find how many of each denomination does she have?

Let x represent the number of $10 traveler's checks she has,

Then, $10(x) + $20(number of $20 checks) = 300

10x + 20($20 checks) = 300

x + 2(number of $20 checks) = 30 ⇒ (1)

Now let us see the given options, for value of $20 checks,

It should be in format, that, $20 x number of $20 checks  

⇒ 20(total checks - $10 checks) ⇒ 20(total checks – x), as we can see only C is in that format, it is correct and total number of checks = 22.

Then, (1) ⇒ x + 2(22 – x) = 30

⇒ x + 44 – 2x = 30

⇒2x – x = 44 – 30

⇒ x = 14

So, $10 checks count = 14, then, $20 checks count = 22 – 14 = 8.

Hence, there are 14 $10 checks and 8 $20 checks, and option c is correct.

7 0
2 years ago
The article points out that caffeine in reasonable amounts of coffee does not appear to be a problem, but "the research is typic
ale4655 [162]
The first one is 500
the second one is 3
6 0
2 years ago
Read 2 more answers
Andy buys x cakes. Betty buys 4 times as many cakes as Andy. Colin buys 3 more cakes than Andy. Each cake costs 65p. The total c
Paladinen [302]

Answer:

Each cake cost £ 13.00

Step-by-step explanation:

We were given that, each cake costs 65p or £ 0.65

Andy buys x cakes.

Andy's cost is

£0.65x


Betty buys 4 times as many cakes as  Andy.

Betty's cost is

£0.65(4x)

£2.60x


Colin buys 3 more cakes than Andy

Colin's cost is

£0.65(x+3)


The total cost of the cakes is £ 52.65.


This implies that,

0.65x+0.65(x+3)+2.60x=52.65


We expand to get,

0.65x+0.65x+1.95+2.60x=52.65


We group like terms to get,


0.65x+0.65x+2.60x=52.65-1.95

This gives us,

0.65x+0.65x+2.60x=52.65-1.95


This implies that,


3.9x=50.7


x=\frac{50.7}{3.9}


x=13


Therefore each cake cost £ 13.00






8 0
2 years ago
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