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5 days ago

How do you use a number line to solve 235+123

Mathematics

1 answer:

AnnZ [9.1K]5 days ago

6 0

<span>A number line is a visual method for performing addition using points on a line.
=> 235 + 123
Begin at 0 and move to 235. From 235, move forward another 123 units.
Then from zero mark the position you reach after adding 123 to 235.

This gives:
=> 235 + 123
=> 358.
See the attached image for a number line depiction.</span>Answer:

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A quadratic function has a line of symmetry at x = –3.5 and a zero at –9. What is the distance from the given zero to the line o

Svet_ta [9518]

Given:

A quadratic function has a line of symmetry positioned at x = –3.5 with one root located at –9.

To find:

The second root.

Solution:

It is understood that the line of symmetry splits the quadratic function's graph into two identical halves. Hence, both roots are equidistant from this line.

This implies that the line of symmetry passes through the midpoint of the two roots.

Let the other root be denoted as x.

$-3.5=\dfrac{(-9)+x}{2}$

Multiply both sides by 2.

$-7=-9+x$

Add 9 to both sides.

$-7+9=-9+x+9$

$2=x$

Consequently, the other zero of the quadratic function is concluded to be 2.

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21 day ago

A bag of marbles can be divided evenly among 2,3 or 4 friends. A) How many marbles might be in the bag? B) What is the least num

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Response:

a)12 b)12 c)36

Detailed steps:

a) Identify the least common multiple. The quantity of marbles corresponds to that value multiplied by n (with n representing an integer)

b) The least common multiple is calculated as 4*3=...

c)12*3 =?

Afterward, simply divide by 2, 3, and 4 to find the solution

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7 days ago

The smallest number by which 28 should be multiplied so as to get a perfect square is

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Answer:

Detailed explanation:

28 can be expressed as 2^2 * 7.

In order to achieve a perfect square with 28, multiplying by 7 results in 2^2 * 7^2, equaling 14 squared.

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13 days ago

Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Select two options. y

Inessa [9006]

Answer:

Step-by-step explanation:

To obtain a line parallel to the equation 3x − 4y = 7, any equivalent line will share the same format but differ by a constant value.

If the new line is intended to go through the point (-4, -2), substitute x with -4 and y with -2. This leads to:

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It can also be expressed as 3x − 4y + 4 = 0. Additionally, if we solve for y, we get:

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8 days ago

Read 2 more answers

Suppose the time interval between two consecutive defective light bulbs from a production line has a uniform distribution over a

lawyer [9240]

Answer:

a) The average of the time interval is 45 minutes.

b) There is a 27.78% chance that the time gap between two successive defective light bulbs will lie between 10 and 35 minutes.

c) The standard deviation for the time duration is 25.98 minutes.

d) There is an 11.11% likelihood that the time interval between two successive defective light bulbs will be under 10 minutes.

Step-by-step explanation:

A uniform probability situation occurs when all outcomes have an equal chance of happening.

In this context, we identify a lower and upper limit for the distribution known as 'a' and 'b', respectively.

The likelihood of finding a value X that is less than x is determined by this formula.

$P(X < x) = \frac{x - a}{b-a}$

The likelihood of obtaining a value X that lies between c and d is expressed as:

$P(c \leq X \leq d) = \frac{d-c}{b-a}$

The average of the uniform distribution is:

$M = \frac{a+b}{2}$

The standard deviation of the uniform distribution can be calculated as:

$S = \sqrt{\frac{(b-a)^{2}}{12}}$

The uniform distribution covers an interval from 0 to 90 minutes.

This indicates that $a = 0, b = 90$

a) What is the mean of the time interval?

$M = \frac{a+b}{2} = \frac{0 + 90}{2} = 45$

The mean of the time interval is 45 minutes.

b) What is the probability that the time gap between two consecutive defective light bulbs will be between 10 and 35 minutes?

$P(10 \leq X \leq 35) = \frac{35-10}{90-0} = 0.2778$

There is a 27.78% chance that the time interval between two successive defective light bulbs falls between 10 and 35 minutes.

c) What is the standard deviation of the time interval?

$S = \sqrt{\frac{(90-0)^{2}}{12}} = 25.98$

The standard deviation of the time interval is 25.98 minutes.

d) What is the probability that the time interval between two consecutive defective light bulbs will be less than 10 minutes?

$P(X < 10) = \frac{10 - 0}{90 - 0} = 0.1111$

There is an 11.11% likelihood that the time duration between two consecutive defective light bulbs will be shorter than 10 minutes.

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