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3 years ago

Consider the equation y = 3(x-5)(x +2)

Mathematics

1 answer:

Aleonysh [2.5K]3 years ago

7 0

x = -2 and x = 5

Compared to the second graph equation presented, when graphed, the first equation is more narrow while the second one is expanded by a factor of 1/2 (or so it seems).

My tip to you is to graph these to get a good visual, these will allow you to find the answer to both questions presented.

Hope this helps!

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The mean number of hours per day spent watching television, according to a national survey, is 3.5 hours, with a standard deviat

aleksley [76]

Answer:

4.5 hour and 2 hour

Step-by-step explanation:

Given: The mean number of hours per day spent watching television, according to a national survey, is 3.5 hours, with a standard deviation of two hours.

To Find: If each time was increased by one hour, what would be the new mean and standard deviation.

Solution:

let the total numbers entries of hours in survey be = $\text{N}$

each entry in survey be = $\text{x}_{i}$

mean of survey is = $\mu$ = $3.5$ $\text{hours}$

standard deviation is = $\sigma$ = $2$ $\text{hours}$

if each entry in survey is increased by one hour then,

each new entry in survey is = $\text{x}_{i}+1$

the new mean is $\mu_{new}$ = $\frac{\text{sum of all hours}}{total number of entries}$

$\frac{\text{x}_{1} +1+\text{x}_{2}+1 +....+\text{x}_{N}+1 }{N}$

$\frac{(\text{x}_{1} +\text{x}_{2} +....+\text{x}_{N})+\text{N}\times1 }{N}$

$\frac{(\text{x}_{1} +\text{x}_{2} +....+\text{x}_{N})}{N}$ + $\frac{\text{N}\times1 }{N}$

$\mu_{new}$ = $\mu$ + 1= $4.5$ $\text{hours}$

now,

standard deviation is $\sigma_{new}=$ $\sqrt{\sum_{1}^{N}\frac{(\text{x}_{inew}-\mu_{new})^{2}}{N}}$

$\text{x}_{inew}= \text{x}_{i}+1$

$\mu_{new}=\mu+1$

putting values,

$\sqrt{\sum_{1}^{N}\frac{(\text{x}_{i}+1-\mu-1)^{2}}{N}}$

$\sqrt{\sum_{1}^{N}\frac{(\text{x}_{i}-\mu)^{2}}{N}}$ = $\sigma$

$\sigma_{new}$ =2

new mean and standard deviation are $4.5$ and $2$ $\text{hours}$

5 0

3 years ago

Yosef typed a 36-word paragraph in 23 minute. What is his typing speed, in words per minute? Solve the problem and describe in w

alexandr1967 [171]

Answer:

36/23

Step-by-step explanation:

speed of typing = words typed/minutes

=36/23

7 0

3 years ago

When he was born Frank weighed 4.2 kg.This was 500g more than Sally.What did Sally weigh at birth?

Karolina [17]

Answer:

3.7kg

Step-by-step explanation:

4.2kg =4200

4200-500=3700

8 0

3 years ago

Out of two negative temperatures, -2 & -10, which is colder???? Plz help!!!!!

Margaret [11]

-10 is colder, hope this helps

5 0

3 years ago

Read 2 more answers

Name the major arc and find its measure

marin [14]

The largest arch for this case is the ADB arch.
To know the size of the major arc, the first thing you should keep in mind is that the entire circumference measures 360 degrees.
We then have the following equation:
ADB + 50 = 360
From here, we clear the value of ADB.
We have then:
ADB = 360 - 50
ADB = 310 degrees.
Answer:
The measure of the major arc is:
ADB = 310 degrees.

6 0

4 years ago

Read 2 more answers