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3 years ago

Is (-5, 0.5) a solution of this system? - 4y = -7 0,2x + 2 = 0

Mathematics

1 answer:

JulijaS [17]3 years ago

8 0

Answer:

Step-by-step explanation:

hello :

test : (-5, 0.5) means : x = -5 and y= 0.5

- 4(0.5)= -7 .....false

0,2(-5) + 2 = 0.....false

conclusion : (-5, 0.5) is not solution for this system

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Five independent flips of a fair coin are made. Find the probability that(a) the first three flips are the same;(b) either the f

Korvikt [17]

Answer:

The answers to the question are

(a) 1/4

(b) 7/16

Step-by-step explanation:

To solve the question we note that

Total number of outcomes = 32

Probability of the event of first three flips are the same =P(F)

Probability of the event of last three flips are the same =P(L)

Total number of outcomes = 2⁵ = 32

The number of ways in which the frist three flips are the same is

F TTTTT, TTTTH, TTTHH, HHHTT, HHHHT, HHHHH, TTTHT, HHHTH = 8

L: TTTTT, HHTTT, HTTTT, THTTT, HHHHH, TTHHH, HTHHH, THHHH = 8

The probability that the first and the last three flips are the same that is

F ∩ L; TTTTT, HHHHH = 2

Therefore P(F ∩ L) = 2/32

(a) P(F) = 8/32 =1/4 also

P(L) = 8/32 =1/4

(b) P(LUF) = P(L) + P(F) - P(F ∩ L) = 1/4+1/4-1/16 =7/16

and the event of at least two tails among the last three flips be T

Then we have

H; HHHHH, HHHHT, HHHTT, HHHTH, HHTTT, HHTHH, THHTT, THHHT

= 8

T; TTTTT. HTTTT, HHTTT, THTTT, THHTT, HHHTT, THHTT, HTTTH =8

Also H∩T = TTTHH, HHTTT = 2

Therefore P(H ∩ T) = 2/32 = 1/16

5 0

3 years ago

One batch of cookies calls for 2 cups of oil, 4 cups of sugar, 1.5 cups of sugar, 1 cup of baking soda, and 1 cup of chocolate c

hichkok12 [17]

He can make 2 batches of cookies. I'm not sure about the leftover cups because you wrote sugar twice

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3 years ago

What is the Slope of this line?

Damm [24]

Answer:

2/5 or 0.4

Step-by-step explanation:

y2-y1/ x2-x1

y2=2, y1=0

x2=5, x1=0

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3 years ago

13. Don is running a race. He knows he can run 60 feet in 4 seconds. If he maintains this rate, how many miles will he run in 1

Lana71 [14]

Answer:

10.23 miles

Step-by-step explanation:

1 hour = 3600 seconds

$\frac{60}{4} =\frac{x}{3600} \\\\4x=216000\\x=54000$

54000 ft = 10.23 miles

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3 years ago

Read 2 more answers

Who knows how to sketch this kind of graph

Fofino [41]

The graph of f(x) = 0.5sin(4x) is sketched below

<h3>Graph of trigonometric functions </h3>

From the question, we are to sketch the graph of the given trigonometric function.

The given trigonometric function is

f(x) = 0.5sin(4x)

The graph of f(x) = 0.5sin(4x) is sketched below

Learn more on Graph of trigonometric functions here: brainly.com/question/4987799

#SPJ1

8 0

2 years ago