Answer:
X - 7 = - 3
X = - 3 + 7
X = 4
the 7 turns positive because it was moved to the other side of the symbol "=" so we reverse the sign
- becomes +
and
+ becomes -
Need this done tonight please help!
Caroline weighs 41,390,000 milligrams and her baby sister weighs 3,415 grams. What is their total weight in kilograms?
A. 4.4805 kg
B. 448.05 kg
C. 44.805 kg
D. 4480.5 kg
Answer:
C. 44.805
Step-by-step explanation:
41,390,000 milligrams is 41.39 in kilograms and then 3,415 grams in kilograms is 3.415 so add those up 41.39+ 3.415= 44.805kg
The total weight in kilograms is C. 44.805 kg
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Convert mg to kg;
Caroline weighs 41,390,000 mg
1 mg = 0.000001 kg
41,390,000 mg = x
x = 41,390,000 mg × 0.000001 kg
= 41.39 kg
Now, Converting her baby sister's weight to kg
1000g = 1 kg
3415 g = x
Cross Multiply;
1000x = 3415g × 1 kg
x = 3415g × 1 kg/1000
x = 3.415 kg
Therefore, the total weight in kilograms is;
41.39 kg + 3.415 kg
= 44.805 kg
Learn more about the unitary method, please visit the link given below;
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Use the F-scale measurements of tornadoes listed in the accompanying table. The range of the data is 4.0. Use the range rule of thumb to estimate the value of the standard deviation. Compare the result to the actual standard deviation of the data, 1.0.
3
2
3
2
1
1
0
1
2
3
1
1
1
2
2
2
2
0
1
2
1
0
0
1
0
0
2
0
2
2
1
0
0
0
1
0
1
2
3
2
0
2
2
0
0
0
1
0
0
0
0
0
1
0
0
1
1
0
0
1
0
0
2
0
0
0
0
0
1
2
4
0
1
0
0
0
0
2
2
0
1
1
1
2
1
0
0
2
0
2
0
2
2
2
0
0
4
0
Compare the result to the actual standard deviation.
The estimated standard deviation is________(within 0.5 of, over 0.5 less than, over 0.5 greater than) the actual standard deviation. Thus, the estimated standard deviation_________(is, is not) substantially different from the actual standard deviation.
Answer:
Within 0.5 of ;
is not ;
Step-by-step explanation:
Given the data:
The actual standard deviation, = 1
;
The range rule of thumb to estimate the value if standard deviation is ;
Estimated standard deviation = Range / 4
The range = (maximum - minimum) values
The estimated standard deviation = 4 / 4 = 1
Hence, the estimated standard deviation is with 0.5 of the actual standard deviation, Thus, the estimated standard deviation is not substantially different from the actual standard deviation.
SOLVE FOR M. please :)
- 3/7 m = 12
m = -28
m = -26
m = 26
m = 28
Answer:
[tex]m = - 28[/tex]
Step-by-step explanation:
[tex] \frac{ - 3}{7} m = 12[/tex]
[tex] \frac{ - 7}{3} ( \frac{ - 3}{7})m = \frac{ - 7}{3} \times 12[/tex]
[tex] \frac{ - 1}{3} ( - 3)m = \frac{ - 7}{3} \times 12[/tex]
[tex] - 1( - 1)m = \frac{ - 7}{3} \times 12[/tex]
[tex]1 \times m = \frac{ - 7}{3} \times 12[/tex]
[tex]m = \frac{ - 7}{3} \times 12[/tex]
[tex]m = \frac{ - 7}{3} \times 12[/tex]
[tex]m = \frac{ - 7}{3} (3 \times 4)[/tex]
[tex]m = - 28[/tex]
Hope it is helpful....Consider this example on how different a median can be from a sample. Suppose there is a company that mentions the average salary at Company A last year was $ 135,750 per year. Being interested in this you try to investigate this. You discover there are 8 individuals, including the business owner, that works at the company. You discover that the salaries of the 7 individuals are surprisingly low. The salaries of those 7 individuals are $8,000, $8,000, $7,000, $11,000, $15,000, $17,000, and $20,000. You then discover the salary of the business owner to be $1,000,000.
Compare the mean with the median? What does this show?
Find Q1 (first quartile) , Q3 (third quartile) , and Interquartile Range (IQR)?
Are there outliers? Please prove there is an outlier using the Q1-1.5*IQR and Q3 + 1.5*IQR formulas?
Find the 10% trimmed mean of the 8 salaries above. Compare this with the median found in part a.
What do you think represents a more typical salary of the organization above? Would you want to work for this company?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data :
8000, 8000, 7000, 11000, 15000, 17000, 20000, 1000000.
Mean = Σx / n = 1086000 / 8 = 135750
Median = 1/2(n+1)th term = 8000
The lower quartile :
Q1 = 1/4(n+1)th term
Q1 = 8000
Q3 = 3/4 (n+1)th term
Q3 = 18500
IQR = 18500 - 8000 = 10500
OUTLIER :
8000 - (1.5*(10500)) = - 7750
18500 + (1.5*(10500)) = 34250
10% trimmed mean
10% * 8
Cut off 1 from the top and bottom
Data becomes : 8000, 8000, 11000, 15000, 17000, 20000
Trimmed mean = 13166
What is the solution to this equation?
17.56 = 29.01 - 5x
Answer:
2,29
Step-by-step explanation:
17,56 = 29,01 - 5x
5x = 29,01 - 17,56
5x = 11,45|:5
x = 2,29
Answer:
x =2.29
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Select the correct answer.
Why does the value of money that you save increase over time?
OA.
because it earns interest
OB
because it is not spent
ОC.
because future value is always greater than present value
Answer:
maybe it's option 'B' because it earns interest
Bonus 6: Find the Total Area 10 11.4 18 1 9 24
9514 1404 393
Answer:
1328.4 square units
Step-by-step explanation:
The total surface area is the sum of the areas of the trapezoidal bases, and the areas of each of the four rectangular faces.
The area of each trapezoidal base is ...
A = 1/2(b1 +b2)h
A = 1/2(10 +24)(9) = 153 . . . . square units
__
The total area of the four rectangular faces is ...
A = bh . . . . area of one face
A = 11.4(18) +10(18) +11.4(18) +24(18) = (11.4 +10 +11.4 +24)(18) = 1022.4
So, the total area is ...
SA = 2×base area + face area
= 2×153 +1022.4 = 1328.4 . . . . square units
Lin's father is paying for a $25 meal. He has a 15%-off coupon for the meal. After the discount, a 8% sales tax is applied.
What does Lin's father pay for the meal?
Solve for 20 points and show work
A bakery sells cakes, cookies, and pastries. They wonder if customers are equally likely to buy each product. They take a sample of 200 recent purchases and record what was purchased (they are willing to treat this as a random sample). Here are the results
Product Cakes Cookies Pastries
Observed purchases 65 68 67
They want to perform a x^2 goodness-of-fit test to determine if these results suggest that one type of product is more popular than the others. What is the expected count of cake purchases?
Answer:
66.667 cakes
Step-by-step explanation:
The expected count or value in a goodness of fit test is the product of the expected percentage and the total count or sample size.
Since the samples are being treated as a random sample, hence, the expected percentage of each of cake, pastries and cookies is the same.
The expected count of cakes is :
100/3 % * sample size
33.3333% * 200
= 66.667 cakes
Find the measure of the arc indicated.
Answer:
option 3
hope youre online exam will be easy
Step-by-step explanation:
Calculate the slope of the line that contains the points: (2, -3) and (6, -3)
Answer:
[tex]\displaystyle m = 0[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (2, -3)
Point (6, -3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{-3- -3}{6- 2}[/tex][Fraction] Subtract: [tex]\displaystyle m = \frac{0}{4}[/tex][Fraction] Divide: [tex]\displaystyle m = 0[/tex]A pound of chocolate costs 7 dollars. Rachel buys p pounds. Write an equation to represent the total cost c that Rachel pays.
Answer:
c = 7p
Step-by-step explanation:
i think
Which inequality represents all values of x for which the product below is defined ?
Answer:
x ≥6
Step-by-step explanation:
Given the product:
√(x-6)*√(x+3)
The function has to be defined if x ≥0
Hence;
√(x-6)*√(x+3)≥0
Find the product
√(x-6)(x+3)≥0
Square both sides
(x-6)(x+3)≥0
x-6≥0 and x+3≥0
x≥0+6 and x ≥0 - 3
x ≥6 and x ≥-3
Hence the required inequality is x ≥6
Answer:
B. x>/ 6
Step-by-step explanation:
A P E X
⚠️❗️⚠️❗️⚠️❗️25 POINTS PLEASE HELP ME FIND THE AREA⚠️❗️⚠️⚠️❗️⚠️❗️
Trolls will be reported
Answer:
178
Step-by-step explanation:
area of big rectangle : 143
area of small rectangle:20
area of triangle : 15
143+20+15= 178
Full as shown in the photo Integra
WHAT IS THIS
AM CONFUSEDDDD
DO YOU NEED HELP WITH HOEMWORK
Classify each triangle as a right triangle or not a right triangle. Have a great day!
Answer:
This is not a right triangle
Step-by-step explanation:
the bottom and side would have to be equal
How much work is done lifting a 35 pound object from the ground to the top of a 25 foot building if the cable used weighs 2.5 pounds per foot
Answer:
3400 ft-lbs
Step-by-step explanation:
The Workdone in lifting the rope :
Number of feet = x
Distance = 25 feets
2.5x + 35
Taking the integral :
∫2.5x + 35 dx at x = 40
Integrating, we have :
1/2(2.5x² ) + 35x at x = 40
1/2(2.5(40)²) + 35(40)
1/2(4000) + 1400
2000 + 1400
= 3400
Hence, Workdone in lifting the rope = 3400 ft-lbs
Please help is for now
Answer:
3 is write I've told to sir and he told write
Ms. Sands purchased 60 boxes of crayon at 1.99 cach.
a. What was the TOTAL cost of the 50 boxes of crayon?
Answer:
I added the picture of the question.
Answer:
29+31+24+30+20+18+16= 168
how many numbers there are= 7
168/7= 1,176
The mean is= 1,176
Hope this helped
Answer:
24
Step-by-step explanation:
Add up all the numbers
16+18+20+24+29+30+31=168
Divide the sum by how many numbers there are
Hope it is helpful
Belle will randomly select two cards without replacement what is the probability that both will choose two hearts
The probability that Belle will select two hearts is 2/15.
To find the probability of Belle selecting two hearts, we need to calculate the probability of selecting a heart on the first draw and then, given that the first card was a heart, the probability of selecting another heart on the second draw.
Total number of cards = 3 (star cards) + 4 (hearts cards) + 3 (spade cards) = 10 cards
Probability of selecting a heart on the first draw = 4 (hearts cards) / 10 (total cards) = 2/5
After selecting a heart on the first draw, there will be 9 cards remaining, with 3 hearts cards left.
Probability of selecting a heart on the second draw, given that the first card was a heart = 3 (hearts cards) / 9 (remaining cards) = 1/3
To find the probability of both events happening (selecting two hearts), we multiply the probabilities:
Probability of selecting two hearts = (2/5) x (1/3) = 2/15
Therefore, the probability that Belle will select two hearts is 2/15.
To learn more about the probability;
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does anyone know w(t) = 3t - 1, w(-4.2) ?
Answer:
w(-4.2) = 3(-4.2) -1 = -12.6 - 1 = -13.6
Step-by-step explanation:
The w(-4.2) is your t so you substitute it in your expression which means you get 3(-4.2) -1 and that gives you -13.6.
Calculate the volume of the triangular pyramid below.
Answer:
90
Step-by-step explanation:
1/2x10x3.6=18
18x5=90
2. Find the mean number of tornadoes
per year.
Basically i need to find the median of one number. Does anyone know the median of 44? Thx
f(x) = 3x + 4 is y =
Find the value of N^2 -n. If n=-5
Algebra
Input -5 into all of the numbers which state "n"
-5^2+5
25+5
30
Help me please :(((((
Answer:
Step-by-step explanation:
[tex]\frac{-2}{3}[/tex]n=12
-2n=12*3
n=36/-2
n=-18
What is the distance between the coordinates (5,5) and (10,2)? Round your
answer to the nearest tenth.
Answer:
√34
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√(10 - 5)² + (2 - 5)²
√(5)² + (-3)²
√25 + 9
√34
= 5.8
the problem has two parts. thank you <3