Answer:
All the numbers ranging from 14,500 to 15444 would be rounded to 15000
Step-by-step explanation:
All the numbers ranging from 14,500 to 15444 would be rounded to 15000.
How this is possible.
1) all the numbers from 0-4 are not counted as the next number when rounded off.
2) all the numbers from 5-9 are counted as the next number when rounded off.
Example Suppose we have numbers from 15- 19.
These numbers can be rounded off to 20
But numbers from 10-14 would never be rounded off to 20 instead they are rounded as 10.
Same happens in the hundreds case.
If we have numbers from 450 - 499 they can be rounded as 500
And numbers from 400 - 444 cannot be rounded as 500 but the number 445 may be rounded as 450 . When we carry 5 from units place and replace it as 450 then again 450 can be rounded to 500.
Same happens with 15000 but when are rounding nearest hundred not ten.
Thus all the numbers ranging from 14,500 to 15444 would be rounded to 15000.
A local brewery produces three premium lagers named Half Pint, XXX, and Dark Night. Of its premium lagers, they bottle 40% Half Pint, 40% XXX, and 20% Dark Night lagers. In a marketing test of a sample of consumers, 27 preferred the Half Pint lager, 29 preferred the XXX lager, and 24 preferred the Dark Night lager. Using a chi-square goodness-of-fit test, decide to retain or reject the null hypothesis that production of the premium lagers matches these consumer preferences using a 0.05 level of significance. State the value of the test statistic. (Round your answer to two decimal places.) $ \chi_{obt}^2 $
Answer:
reject the null hypothesis
Step-by-step explanation:
Total observation = 27+49+24 = 100
Expected Frequency :
Half Pint = 100 × 0.4 = 40
XXX = 100 × 0.4 = 40
Dark night = 100 × 0.2 = 20
The Chi-square goodness-of-fit test can be computed as follows:
Observed Expected [tex]X^2 = \dfrac{(O- E)^2}{E}[/tex]
Frequency(O) Frequency (E)
Half- 27 40 4.225
Pint
XXX 29 40 3.025
Dark- 24 20 0.8
night
Total 100 100 8.05
The test statistics [tex]X^2[/tex] = 8.05
8.05
degree of freedom = n -1
degree of freedom = 3 - 1
degree of freedom = 2
The p-value can be computed by using the EXCEL FORMULA (=CHIDIST(8.05,2)
p-value = 0.01786
Since the p-value is less than the level of significance, we reject the null hypothesis
Also using the critical value approach from the EXCEL FUNCTION;
critical chi-square (=CHIINV(0.05,2) = 5.99
[tex]X^2 > 5.99[/tex], therefore, we reject the null hypothesis
Find the area and perimeter of a court with dimensions of 50ft by 84ft.
Answer:
Area: 4200
Perimeter: 268
Step-by-step explanation:
To find the area, multiply length and width (50 x 84)
To find perimeter, add up the lengths of all the sides (50+50+84+84)
Hope this helps!
which fraction represents 56 shares evenly distributed among 12 people
Answer:
14/3
Step-by-step explanation:
When 56 shares are evenly distributed between 12 people, each person gets equal number of shares.
The number of shares gotten by each person is the ratio of the total number of shares to the total number of people. It is given by the formula:
number of shares gotten by each person = total number of shares / total number of people
number of shares gotten by each person = 56 shares / 12 people
number of shares gotten by each person = 14/3 shares
David and Amrita had an equal number of marbles. After Amrita gave 50 marbles to David, he had 5 times as many marbles as her. Find the total number of marbles they had.
Answer:
Step-by-step explanation:
a = d before Anna gives away 50 marbles.
5 (a-50) = a +50 after Anna gives away 50 marbles.
5a - 250 = a + 50
4a = 300
a = 75
Anna has 75 marbles at the beginning and so did David.
Together they have 150 marbles.
:)
Answer:
150
Step-by-step explanation:
Originally, they had the same number, so they both had x marbles each.
David: x
Amrita: x
Amrita gives 50 marbles to David. Now they have:
David: x + 50
Amrita: x - 50
"he had 5 times as many marbles as her"
x + 50 = 5(x - 50)
x + 50 = 5x - 250
-4x = -300
x = 75
Each had 75 marbles to start with.
75 + 75 = 150
The total is 150.
Frank needs 3.6 meters of ribbon to wrap gifts for friends this year. If each spool contains 90 cm of ribbon,how many spools will Frank need to purchase?
Answer:a lot
Step-by-step explanation:
A survey of 500 farmers showed that of the farmers, 121 grew only wheat, 108 grew only corn, 92 grew only oats, 195 grew wheat, 59 grew wheat and corn, 48 grew wheat and oats, and 176 grew corn. Determine the number of farmers who a) grew at least one of the three, b) grew all three, c) did not grow any of the three, and d) grew exactly two of the three.
Answer:
The farmers in regions II, IV, and VI had exactly two of the three Summing the numbers in these regions 25 + 15 + 10 we find the that 50 farmers grew exactly two of the three.
A car drives with an average velocity of 20.1 m/s . After some time, it has traveled 34.2 km. How long has the car been traveling?
Answer:
time = distance / velocity
time = 34,200 meters / 20.1 meters per second
time = 1,701.4925373134 seconds
time = 28.36 minutes
Step-by-step explanation:
Help i dont understand Pls help :( Given g(x)=-4x-2g(x)=−4x−2, find g(-2)g(−2).
Answer:
[tex]g(-2)=6[/tex]
Step-by-step explanation:
Hi again!
So we have the equation:
[tex]g(x)=-4x-2[/tex]
To find g(-2), substitute -2 for x. Thus:
[tex]g(-2)=-4(-2)-2[/tex]
Multiply. -4 times -2 is positive 8:
[tex]g(-2)=8-2[/tex]
Subtract:
[tex]g(-2)=6[/tex]
And we're done!
Ahmed wrote two numbers the first number has a seven and it’s tenths place the second number has a seven with a value that is 1000 times greater than the value of the seven in the first in which place is a seven and the second number
Answer: I think the answer is thousands
Step-by-step explanation:
Answer:
100,000
Step-by-step explanation:
first # = 70, 2 digits
second # = 1,000 times greater than 70 1,000 = 4 digits
4 + 2 = 6, 100,000 = 6 digits
a. Plot 13.58 on a number line on which the long
tick marks are whole numbers.
b. Plot 0.193 on a number line on which the long
tick marks are tenths.
c. Plot 26.9999 on a number line on which the
long tick marks are thousandths.
Answer:
Se attached for plots and here is position of the numbers:
a. Plot 13.58 on a number line on which the long
tick marks are whole numbers.
13 < 13.58 < 14b. Plot 0.193 on a number line on which the long
tick marks are tenths.
0.1 < 0.193 < 0.2c. Plot 26.9999 on a number line on which the
long tick marks are thousandths.
26.999 < 26.9999 < 27.000historians label an event as a turning point when it
Answer:
F
Step-by-step explanation:
Answer:
Historians label an event as a turning point when it marks the beginning of a distant historical period
Step-by-step explanation:
15 = x + 13
which property could be used to solve this equation
Steps to solve:
15 = x + 13
~Subtract 13 to both sides
2 = x
Best of Luck!
plz help quicky.......................................
Plot the point then draw the shape
they create. What shape does it
create?
(2,5)
(7, 1)
(5,5-)
(-1,-5)
(-3,1)
Solve for x: 3(x + 1) = −2(x − 1) − 4. (1 point)
Answer:
X=2.5 (btw im a rising 5th grader just saying) i hope i helped u
Step-by-step explanation:
3x+3=-2x+2-4 (get rid of the parenthesis)
+2x +2x (get rid of 2x)
5x+3=2-4
+4 +4 (get rid of 4)
5x+7=2
-7 -7 (get rid of 7)
5x=2
5/2=2.5 (solve)
3
Type the correct answer in each box. Use numerals instead of words.
Complete the table of inputs and outputs for the function.
f(x) = -5(x + 7)
-9
0
0
-60
Reset
Next
Answer:
(-9,10),(-7,0)(0,-35)(5,-60)
Step-by-step explanation:
What is represented by the number below the abbreviation of the element in the periodic table? The atomic mass The atomic number The melting point The valence number
Answer:
Atomic Mass
Step-by-step explanation:
Correct answer as per the test
The abbreviation of the element in the periodic table will be atomic number. Then the correct option is B.
What is a periodic table?An arrangement of atoms by their atomic numbers, often in rows, such that atoms with comparable atomic structures (and thus comparable chemical characteristics) are shown in vertical slats.
The abbreviation of the element in the periodic table will be atomic number.
Then the correct option is B.
More about the periodic table link is given below.
https://brainly.com/question/11155928
#SPJ2
Which type of cell contains Cell Membrane?
Answer:
Eukaryotic cells contain cell membrane!
Find the point (x1,x2) that lies on the line x1 +5x2 =7 and on the line x1 - 2x2 = -2.
Given :
Two equation [tex]x_1 +5x_2 =7[/tex] and [tex]x_1 - 2x_2 = -2[/tex] .
To Find :
The point of intersection of these lines .
Solution :
We will use elimination method :
From equation 1 :
[tex]x_1=7-5x_2[/tex]
Putting value of [tex]x_1[/tex] in equation 2 we get :
[tex](7-5x_2)-2x_2=-2\\\\7-7x_2=-2\\\\x_2=\dfrac{9}{7}[/tex]
Putting value of [tex]x_2[/tex] in equation 1 we get :
[tex]x_1+5\times \dfrac{9}{7}=7\\\\x_1=\dfrac{4}{7}[/tex]
Therefore , point of interaction is [tex](\dfrac{4}{7},\dfrac{9}{7})[/tex] .
Hence , this is the required solution .
The point is: [tex]\left(x_{1},x_{2}\right)=\left(\frac{4}{7},\frac{9}{7}\right)[/tex]
We will solve the given system of equations.
Subtract the second equation from the first one:
[tex]\left(x_{1}+5x_{2}\right)-\left(x_{1}-2x_{2}\right)=7-\left(-2\right)\\x_{1}+5x_{2}-x_{1}+2x_{2}=7+2\\7x_{2}=9\\x_{2}=\frac{9}{7}[/tex]
Then we plug [tex]x_{2}=\frac{9}{7}[/tex] in the given first equation.
[tex]x_{1}+5x_{2}=7\\x_{1}+5\left(\frac{9}{7}\right)=7\\x_{1}+\frac{45}{7}=7\\x_{1}=7-\frac{45}{7}\\x_{1}=\frac{4}{7}[/tex]
So the point is: [tex]\left(x_{1},x_{2}\right)=\left(\frac{4}{7},\frac{9}{7}\right)[/tex]
Learn more: https://brainly.com/question/16236436
Which expression is equivalent to 1/2 x + (-70) - 2 1/4 x - (-2) *
Answer:
-7/4x-68
Step-by-step explanation:
Items 2-4. Points P, Q, and Sare
collinear.
(3x - 5)
0
(x + 1)
s
2. What is the value of x?
3. What is m ZPQR?
will
11. M
4. If a ray QT bisects ZRQS, what
will be the measure of one of the
resulting angles?
m
of
5. Points L, M, and N are collinear.
You are given LM = 5 and LN = 17.
What is a possible value of MN?
Flb
6. Ray BD bisects ZABC so that
mZDBC = x + 6 and
mZABD = 2x - 12. What is x?
Answer:
See below
Step-by-step explanation:
2......................
∠PQR and ∠RQS are supplementary, which add up 180°
∠PQR = 3x - 5∠RQS = x + 1Sum:
3x - 5 + x + 1 = 1804x - 4 = 1804x = 184x = 46°3......................
∠PQR = 3x - 5 = 3*46° - 5° = 138° - 5° = 133°4......................
From the picture and the value of x we got above:
∠RQS = x + 1 = 46 + 1= 47°QT bisects ∠RQS and we get two equal angles
Each will measure:
47°/2 = 23.5°5......................
LM = 5, LN = 17, MN = ?
If L is between M and N, then
MN = LM + LN = 5 + 17 = 22M is between L and N, then
MN = LN - LM = 17 - 5 = 125......................
Ray BD bisects ∠ABC, then formed angles are equal:
m∠DBC = x + 6 m∠ABD = 2x - 12m∠DBC = m∠ABD
x + 6 = 2x - 122x - x =6 + 12x = 18°Guess and win math cash 0 and 99999
Answer:
12345
Step-by-step explanation:
乁[ ◕ ᴥ ◕ ]ㄏฅ^•ﻌ•^ฅ▼・ᴥ・▼
0-99999
(IT COULd Be aNy?) This writing was a joke. BUT WHAT IS THE ANSWER!!!!!!!!
a rectangle is 41 cm on one side and 12 cm on the other side.what is the perimeter?
Answer:
106
Step-by-step explanation:
The temperature in a town is 24.8 during the day and -8.1 at night. Find the difference in the temperatures.
The difference is exactly 32.9 degrees
how do i estimate .48
To estimate, we can round to the nearest tenth.
How to round:
5 and above, round up.
4 and below, round down.
0.48 -> 0.5
Best of Luck!
A blueprint for a building includes a rectangular room that measures 3 inches long and 5.5 inches wide. The scale for the blueprint says that 1 inch on the blueprint is equivalent to 10 feet in the actual building. The actual dimensions of the building are 30 feet long by 55 feet wide. true or false
1 inch = 10 feet.
3 inches x 10 = 30 feet
5.5 inches x 10 = 55 feet
The actual room is 30 feet x 55 feet.
The answer is true.
Answer:
Round up to the Nernst number
Step-by-step explanation:
45 inches
63x^12-35x^6 help pls
Answer:
7x^6×(9×^6-5)
Step-by-step explanation:
63x^12-35x^6
7x^6×(9×^6-5)
Answer:I dont know
Step-by-step explanation: Can you pls rate this good I am in 2 grade
what is the 3rd square root of 1000
Answer:
10
Step-by-step explanation:
The third square root is the cube root. This means we are looking for the number that multiplies by itself 3 times to get to 1000, which is 10. (10x10x10=1000)
Hope this helped!
4+y when y = 18 would the answer be 22
Yes you are correct.
You replace y with 18 to get 4+y = 4+18 = 22.
Find the population mean or sample mean as indicated.Sample: 19, 15, 6, 11, 24Required:Compute the sample mean for this data set.
Answer:
The sample mean is 15.
Step-by-step explanation:
We have given data 19, 15, 6, 11, 24.
We are required to find the sample mean. The sample mean can be determined by adding all the given value and then divide by the total numbers or how many numbers. Below is the calculation of the mean.
Sample mean = (19+ 15 +6 +11 +24) / 5
Sample mean = 75 / 5
Sample mean = 15
Therefore the sample mean of the given data is 15.