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3 years ago

The co-ordinates of the point where the line y=x+4 crosses the y-axis

Mathematics

1 answer:

OverLord2011 [107]3 years ago

4 0

Answer:

Therefore the required point where it crosses y-axis is (0 , 4)

Step-by-step explanation:

Given:

$y=x+4$ ...............Equation of line

Intercepts:

The line which intersect on x-axis and y-axis are called intercepts.

There are two intercepts:

x-intercept: The line which intersect at x-axis. So when the line intersect at x-axis Y coordinate is zero.

y-intercept: The line which intersect at y-axis. So when the line intersect at y-axis X coordinate is zero.

For a line crosses Y-axis we have,

$y=x+4$

Put x = 0 in above equation we get

$y=0+4=4\\y=4$

Therefore the required point where it crosses y-axis is (0 , 4)

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The proportion of American births that result in a birth defect is approximately 1/33 according to the Centers for Disease Contr

faltersainse [42]

Answer:

c. binomial distribution with n = 5 and p = 1/33.

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 of a birth resulting in a defect is independent of other births. So we use the binomial probability distrbution 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 American births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC).

This means that the probability of a birth resulting in a defect is $p = \frac{1}{33}$

A local hospital randomly selects five births.

This means that $n = 5$

So the correct answer is:

c. binomial distribution with n = 5 and p = 1/33.

8 0

3 years ago

For this function:

galina1969 [7]

Answer:

Minimum of t = $-\infty$

Maximum of t = $+\infty$

Minimum of h(t) = $-\infty$

Maximum of h(t) = +20

$D(-\infty,+\infty)$

$R(-\infty,+20]$

Step-by-step explanation:

Here in this problem, we are given the function, which is

$h(t)=-5t^2+20$

We observe immediately the following:

- The function has no limitations on the value of t - in fact, it contains no square roots, no logarithms, and no fractions; therefore, every value of x is acceptable in this function. This means that it has the variable t has no minimum or maximum values.

- On the other hand, h(t) cannot take any value. In fact, we notice that this is a quadratic function with the second-degree term with a negative coefficient: this means that it is a downward parabola. So, it has no downward limit (it goes to $-\infty$ ), but it has a maximum, which corresponds to the vertex of the parabola.

The x-coordinate of the parabola is given by

$x_v = -\frac{b}{2a}=0$

because the coefficient of the 1st-degree term, b, is zero. So, the y-coordinate of the vertex is

$h(0)=-5\cdot 0^2+20 = 20$

So, the maximum of h(t) is 20. Therefore we have:

Minimum of t = $-\infty$

Maximum of t = $+\infty$

Minimum of h(t) = $-\infty$

Maximum of h(t) = +20

The domain of a function is defined as the set of values of the independent function x for which the function has a valid value.

Therefore in this case, the domain of h(t) is the set of all values allowed for t: so, from part C, we can say that the domain is

$D(-\infty,+\infty)$

So, all real values.

The range of a function instead is the set of all values of the dependent variables, y.

So in this case, the range of h(t) is the set of all values that h(t) can take.

From part C, we know therefore that the range is

$R(-\infty,+20]$

Where +20 has the ] instead of ) because it is also an allowed value.

5 0

3 years ago

Can you guys help me with this?

frutty [35]

Answer:

I don't see anything hear.

7 0

3 years ago

Read 2 more answers

Triss [41]

Answer: circumference

Step-by-step explanation: you’re welcome

3 0

2 years ago

Read 2 more answers

A grey umbrella costs $8 plus $0.72 in taxes. A yellow

omeli [17]

Answer:

$26.16

Step-by-step explanation:

Since it says "A grey umbrella costs $8 plus $0.72 in taxes"that means a grey umbrella costs $8.72.So you have to do $8.72 * 3 which equals,$26.16

hope this helped!

6 0

2 years ago

The co-ordinates of the point where the line y=x+4 crosses the y-axis​

The co-ordinates of the point where the line y=x+4 crosses the y-axis