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3 years ago

The y-intercept of the line whose equation is 2x + y = 4 is

2 answers:

7 0

$y\ intercept\ for\ x=0\\\\
2x+y=4\ \ \ \ | subtract\ 2x\\
y=4-2x\\\\
y=4-0\\\\
y=4\\\\
y\ intercept\ is\ equal\ to\ 4.$

aivan3 [116]3 years ago

7 0

If x = 0

2 x 0 + y = 4
y = 4

Answer = 4

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Calls to a customer service center last on average 2.8 minutes with a standard deviation of 1.4 minutes. An operator in the call

Natali5045456 [20]

Answer:

The expected total amount of time the operator will spend on the calls each day is of 210 minutes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

n-values of normal variable:

Suppose we have n values from a normally distributed variable. The mean of the sum of all the instances is $M = n\mu$ and the standard deviation is $s = \sigma\sqrt{n}$

Calls to a customer service center last on average 2.8 minutes.

This means that $\mu = 2.8$

75 calls each day.

This means that $n = 75$

What is the expected total amount of time in minutes the operator will spend on the calls each day

This is M, so:

$M = n\mu = 75*2.8 = 210$

The expected total amount of time the operator will spend on the calls each day is of 210 minutes.

6 0

3 years ago

please help me answer this math question 10 points to whoever helps me (the last of my points) thank youuu!!

vfiekz [6]

Any quadrilateral has sum of all angles equal 360⁰.
So,
m∠D+78+91+90=360
m∠D=360-(78+91+90)=101⁰
Answer is A.

3 0

3 years ago

Graph the line y+3x=-3

ivanzaharov [21]

Answer: y = -3x-3 (Choose values for x)

Step-by-step explanation:

1st change the equation to y = mx+b form

In order to change the equation to y = mx+b form subtract the 3x to both sides.
The equation now becomes y = -3x-3

2nd we can either choose values for x such has (-2,-1,0,1,2) and plug in those values into our equation y = -3x-3
For example, if we plug in x= -2 we get y= -3(-2)-3 which becomes y =3. We then plot the point (-2,3) because -2 is our x coordinate and 3 is our y coordinate.
Or we can plug the equation into a calculator that will graph the equation for you.

3 0

2 years ago

9: Part A The diameter of a circle is 63 centimeters. Find its circumference. Use π=3.14. A 31.5 centimeters B 98.91 centime

BaLLatris [955]

Part A:
The circumference of the circle is 197.92.

Explanation:
The formula for circumference of a circle is C=2 πr. If you insert the numbers, it would be C=2 x 3.14 x 31.5. Hence, the answer is 197.92.

Part B:
The area is 3117.25 square cm.

Explanation:
The formula for area of a circle is A= πr ². Inserting the numbers, it is A=3.14 x 31.5 ². Therefore the answer is 3117.25 cm ².

6 0

4 years ago

Please can somebody help me with this question please...!

olga55 [171]

Since you are given that the student registered early, the total number you deal with is all students who registered early.

211 + 329 = 540

number of undergraduates who registered early = 211

Among students who registered early:

p(undergraduate) = 211/540

4 0

4 years ago