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Kay [80]
3 years ago
12

Drag an expression that matches each description in the table below.

Mathematics
1 answer:
ryzh [129]3 years ago
4 0

Answer:

1: 500

2: 50

3: 7.5

Step-by-step explanation:

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Identify the slope and y-intercept of the given graph.
qaws [65]

Answer:

the slope is -1/2 and the y- intercept is 2

Step-by-step explanation:

math

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5 0
3 years ago
g The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control
Rudiy27

Answer:

0.1426 = 14.26% probability that at least one of the births results in a defect.

Step-by-step explanation:

For each birth, there are only two possible outcomes. Either it results in a defect, or it does not. The probability that a birth results in a defect is independent of any other birth. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC).

This means that p = \frac{1}{33}

A local hospital randomly selects five births.

This means that n = 5

What is the probability that at least one of the births results in a defect?

This is:

P(X \geq 1) = 1 - P(X = 0)

In which

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

P(X = 0) = C_{5,0}.(\frac{1}{33})^{0}.(\frac{32}{33})^{5} = 0.8574

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8574 = 0.1426

0.1426 = 14.26% probability that at least one of the births results in a defect.

4 0
3 years ago
The local zoo has some kangaroos and some rabbits, There are 70 feet and 26 heads in total. How many kangaroos and how many rabb
prisoha [69]

Answer:

y=17

Step-by-step explanation:

4x+2y=70

x+y=26

2x+2y=52

2x=18

x=9

y=26-9

y=17

7 0
3 years ago
Read 2 more answers
The value of 4c + 5g if c = 2 and g = 1.5
bixtya [17]

Answer:

15.5

Step-by-step explanation:

4c + 5g

= 4(2) + 5(1.5)

= 8 + 7.5

= 15.5

4 0
3 years ago
Connecting a DVD player to a television set requires a cable with special connectors at both ends. You buy a six-foot cable for
ankoles [38]
So a 3 foot cable is10.25
a 6foot cable is 15.50
so
x=cost per foot
y=cost of special connectors
3x+y=10.25
6x+y=15.50
make first equation negative and add to the first
3x=5.25
divide both sides by 3
1.75=x
so it costs 1.75 for a foot of cable

subtitue into first equation
3(1.75)+y=10.25
5.25+y=10.25
subtract 5.25 from both sides
y=5 dollars=cost of special so
4x+y=4(1.75)+5=7+5=$12

so the cost of a 4 foot cable is $12
8 0
3 years ago
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