Answer:
A Method For Simple Cases
Step 1: Find two numbers that multiply to give ac (in other words a times c), and add to give b.
Step 2: Rewrite the middle with those numbers:
Step 3: Factor the first two and last two terms separately:
Step-by-step explanation:
The Jefferson Valley Bank once had a separate customer waiting line at each teller window, but it now has a single waiting line that feeds the teller windows as vacancies occur. The standard deviation of customer waiting times with the old multiple-line configuration was 1.8 min. Listed below is a simple random sample of waiting times (minutes) with the single waiting line. Use a 0.05 significance level to test the claim that with a single waiting line, the waiting times have a standard deviation less than 1.8 min. What improvement occurred when banks changed from multiple waiting lines to a single waiting line?
Answer:
There will be sufficient evidence to conclude. A further explanation is provided below.
Step-by-step explanation:
The given values are:
[tex]\sigma=1.8[/tex]
[tex]\alpha=0.05[/tex]
[tex]n=10[/tex]
As we know,
[tex]\bar{x}=\frac{\Sigma x_i}{n}[/tex]
[tex]=\frac{71.5}{10}[/tex]
[tex]=7.15[/tex]
The standard deviation will be:
⇒ [tex]s=\sqrt{\frac{1}{n-1} \Sigma(x_i- \bar{x})^2 }[/tex]
On substituting the values, we get
⇒ [tex]=\sqrt{\frac{1}{10-1} [(6.5-7.15)^2+...(7.7-7.15)^2]}[/tex]
⇒ [tex]=\sqrt{\frac{1}{9} [(6.5-7.15)^2+...(7.7-7.15)^2]}[/tex]
⇒ [tex]=0.477[/tex]
According to the question,
Hypotheses:
[tex]H_o: \sigma=1.8[/tex]
[tex]H_a: \sigma<1.8[/tex]
The test statistic will be:
⇒ [tex]X^2=\frac{(n-1)s^2}{\sigma^2}[/tex]
⇒ [tex]=\frac{(10-1)\times 0.477^2}{1.8^2}[/tex]
⇒ [tex]=\frac{2.0477}{3.24}[/tex]
⇒ [tex]=0.632[/tex]
Thus the above is the correct response.
how do you multiply add and divide fractions?
Answer:
If the denominators are not the same: First, make them the same. Then add or subtract like fractions with the same denominators.
Step-by-step explanation:
the first step when multiplying fractions is to multiply the two numerators. the second step is to multiply the two denominators. simplify the new fractions. the fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator.
to add or subtract fractions they must have the same denominator. if the denominators are already the same then it is just a matter of either adding or subtracting the numerators if the denominators are difrent then a common denominator needs to be found.
And the second question asks
Are the systems of equations
equivalent?
Yes
No
What is the distance from -7 to 5 on a number line?
2
4
-12
12
Answer:
12 units
Step-by-step explanation:
Find the absolute value of the difference , that is
d = | - 7 - 5 | = | - 12 | = 12 or
d = | 5 - (- 7) | = | 5 + 7 | = | 12 | = 12
The distance from -7 to 5 on a number line is 12 units. This distance between two integers is calculated by using a number line and the absolute value of the difference between those two integers.
What is a Number line?A number line is a graph for the real numbers.It is used to represent the integers on it at a regular interval. It is also used for finding arithmetic operations like the addition and subtraction of integers.The positive integers lie on the right side of the number line and the negative integers lie on the left side of the line The zero lies at the center of the line which separates the positive and negative integers.How to calculate the distance between two integers on a number line?For calculating the distance between two integers, count every integer in between themA faster way of finding the distance between the two integers is by taking the absolute value of their differenceIf A and B are two integers, then the distance between them is given by |B - A|Calculating the distance from -7 to 5 on the number line:
⇒ | 5 - (-7) |
⇒ | 12 |
= 12 units
Therefore, there are 12 units in between the given two integers -7 and 5 on a number line which is shown below
Learn more about the number line here:
https://brainly.com/question/3887107
#SPJ2
NEED HELP ASAP PLEASE AND THANK YOU!!!
Step-by-step explanation:
10²+11²
=100+121
=221
=√221
=14.87
Given the side measurements, classify the triangle as acute, right, obtuse, or not a triangle.
9, 15, 19
A) acute
B) obtuse
C) right
D) not a triangle
Answer:
Step-by-step explanation:
The sum of the two smaller sides of a triangle must be less than the longest side
a+b<c
Since 9+15>19 this is not a triangle.
What is the volume of the cone? Estimate using 3.14 for pi, and round to the nearest tenth
Answer:
V=πr2h3
r Radius
h Height
Right circular cone
Answer:
its going to be 21 or 20 I think I'm not sure
1. In a karate class there are 22 students. 15 of the students are male. What is the ratio of females to the total number of students?
22:15
7:22
7:15
Answer:
239392iq5858558586867685858484939939
e
Step-by-step explanation:
abcdefghijklmnopqrstuvwxyz
pj is placing cans on a shelf. she makes a pattern that repeats after 4 cans. if pj repeats the problem, what will the 21th can look like
Answer:
the 3rd in the cycle
Step-by-step explanation:
Answer:
It was wrong bro
Step-by-step explanation:
help me simplify this
Answer:
Da^^ good luck that looks hard
Step-by-step explanation:
The weight of a bucket of fish was more than 23 pounds. Doria wants to write an inequality for the weight of the bucket of fish. She uses the variable w to represent the weight. Which inequality should Doria write? w greater-than negative 23 w greater-than 23 w less-than 23 w less-than negative 23
Answer:w is greater than 23
Step-by-step explanation:
Given
The weight of the bucket was more than 23 pounds i.e.
[tex]\Rightarrow w>23[/tex]
It is w is greater than 23
Answer:
It is w is greater than 23
Step-by-step explanation:
Find the lengths of AC and BC, and find the measure of angle B.
please help :)
Answer:
I know that the angle is 57
Step-by-step explanation:
Mrs. Smith and her two sons spent a total of $53.50 at the movie theater. Together they spent $26.75 on snacks and Mrs. Smith's ticket was $11.25. How much did each son's ticket cost?
Answer:
$7.75
Step-by-step explanation:
$26.75 + $11.25=$38
$53.50 - $38=$15.5
$15.5/2= $7.75
Question 2
Write true or false for each of the following
statements:
2.1
1 is the smallest uneven prime number
Answer:
false, 1 is not the smallest uneven prime number as it is not a prime number, prime numbers have 2 and only 2 factors whereas 1 only has 1 factor, as well as this, you can have negative prime numbers
Answer:
False one is not the smallest uneven prime number
Can someone help me with this ASAP please I’m being timed
Answer:
false
Step-by-step explanation:
This is because the ones that most likely have a computer are going to play and the ones that dont arent going to play.
Lindsey constructs a triangle with one side 3 inches long and another side 9 inches long. Which is not a possible length for the third side?
Answer:
12
Step-by-step explanation:
The sum of any two sides of a triangle must be greater than the third side.
Answer:
hi
Step-by-step explanation:
Help please!?!?!?!?!?!?!?!?!
Answer:
Your answer is D.
Step-by-step explanation:
If you need explanation ask me in comment
Someone pls help me out
if you get it correct within March 27 2021 I will give you 15 points
Two trains on opposite tracks leave the same station at the same
time. One train travels at an average speed of 80 kilometers per
hour and the other travels at an average speed of 70 kilometers
per hour. How long after they leave the station will they be 50
km apart?
Answer: The answer is 1/3 hour, or 20 minutes
Step-by-step explanation:
The combined rate of separation is (80 km/hr + 70 km/hr) = 150 km/hr,
therefore they will be 1/3 of 150 km apart after traveling 1/3 of an hour.
I HOPE THIS HELPED YOU LOL
Someone please do this for me. I would really appreciate it. I’ll make you brainliest!
Answer:
44.1 degrees
Step-by-step explanation:
In this diagram we are given the hypotenuse (39) and the side adjacent to the angle x. The cosine function relates the hypotenuse and adjacent side as follows:
cos x = 28/39
Using the inverse cosine function on a calculator, we get x = 0.7699 radian, which converts to degrees if we multiply this result by 180/π:
Angle x, in degrees, is 44.1 degrees, which is to the nearest tenth.
hi please help i’ll give brainliest
This is due today PLSS help!
Answer: sorry I dont know!
Step-by-step explanation:
through: (9,-5), Slope=3/4 what is the slope equation?
Roberto has $200 in spending money. He wants to buy some video games that cost $25.50 each. Write and solve an inequality to find the number of
games, g, that Roberto can buy.
Inequality (use g as your variable):
Roberto can buy up to
video games.
Answer:
$200.00/$25.50 = g
Step-by-step explanation:
200.00 / 25.50 = 7 games
Johnny starts run at the 2 mile mark and runs 4 miles per hour. Javier starts at the 6 mile mark and runs 2 miles per hour. How long until Johnny catches up with Javier?
Answer:
2 hours
Step-by-step explanation:
A square has a side length of 6 inches. It is enlarged and the new side length is 18 inches. What is the scale factor
4x + 8 - 9x = -17 what is x\
and the x has to be the same for each
Answer:
x = 5
Step-by-step explanation:
4x + 8 - 9x = -17
combine like terms:
-5x = -25
divide both sides of the equation by -5:
x = 5
Answer:
x=5
Step-by-step explanation:
4x-9x+8=-17
-5x+8=-17
subtract 8 from both sides and you get:
-5x=25
divide 5 from both sides, and you get x=5! :)
Quiz
Your 6 year investment of $40.000 at 14% compounded yearly is worth how much now?
Round to the nearest hundredths.
A =
Mr Maretti is making welcome bags
Answer:
Step-by-step explanation:
Mary bought 2 large popcorn buckets and 4 small drinks for $20. Linda bought 2 large popcorn buckets and 2 small drinks for $14. What was the cost for the large popcorn and the small drink?
Answer:
the cost for the large popcorn and the small drink is $4 and $3 respectively
Step-by-step explanation:
The computation of the cost for the large popcorn and the small drink is shown below:
Let us assume the cost of the large popcorn be x
ANd, the small drink cost be y
Now as per the question
2x + 4y = $20
2x + 2y = $14
Now subtract equation 2 from equation 1
2y = $6
y = $3
Now for x it is
2x + 12 = $20
2x = $8
x = $4
Hence, the cost for the large popcorn and the small drink is $4 and $3 respectively