Answer:
x = 4
Step-by-step explanation:
3x÷2=6
Multiply both sides by 2.
3x = 12
Divide by 3.
x = 4
Answer:
x=4
Step-by-step explanation:
To solve \(\frac{3x}{2}\)=6 you need to isolate the variable. To do this you need to do the opposite operation of all of the constants.
First, multiply both sides by 2,
\(\frac{3x}{2}\)*2=6*2
3x=12
Then divide both sides by 3,
3x/3=12/3
x=4
need help i dont understand
Answer:
Step-by-step explanation:
it would be "c" because the question asks for the number that makes the inequality true
4x≤ x+3
the graph in c is saying that every number that is 1 or less than 1 makes the inequality true. so lets take -7 as an example
4 x -7=-28
-28+3=-25
-25 is greater than -28 so the inequality is true. the reason why graph d doesnt work is because if we plug in 2 into the equation, then 4x =8 and x+3=5
5 is not greater than 8 so it doesnt work
The following data represents the age of 30 lottery winner Find the range of the data ?
Given:
The highest age of the lottery winner is 83 years.
The smallest age of the lottery winner is 23 years.
Required:
We need to find the range of the data.
Explanation:
Consider the formula to find the rage of the data.
\(Range\text{ = maximum value - minimum value}\)Substitute maximum value = 83 and minimum value = 23 in the equation.
\(Range=83-23\)\(Range=60\)Final answer:
\(Range\text{ of the data = 60}\)In induction, you look for a pattern and then form an educated guess or
about it.
A. conjugation
B. conjunction
C. congruence
D. conjecture
SUBMIT
The answer is D: conjecture
The key words in the description are "look for a pattern and then form an educated guess." This suggests making a hypothesis or assumption based on the observed pattern, which is the definition of a conjecture.
The other answer choices are defined as follows:
A. conjugation - the act of changing a verb to agree with its subject
B. conjunction - a connecting word
C. congruence - the state of agreeing, matching, or coinciding
D. conjecture - an opinion or conclusion formed on the basis of incomplete information
So option D, conjecture, is the best match for forming an educated guess based on an observed pattern in induction.
The number of nails in a 5 lb box is normally distributed with a mean of 325 nails and a standard deviation of 15 nails
Suppose that 1200 different 5 lb boxes are in a warehouse.
About how many boxes contain more than 340 nails?
O 170
O 192
O 340
O 384
Answer: 192.. just took the test :)
Step-by-step explanation:
The number of boxes contains more than 340 nails will be 190. Option B is correct.
What is Z score?The number of standard deviations by which the value of a raw score is above or below the mean value of what is being observed or measured is known as the Z score.
Z score for the 340 nails is found as;
\(\rm Z-score= \frac{340-325}{15} \\\\ Z-score=1\)
If the probability of the z score is grater than 1 is;
P(Z≥1)=1-P(Z≤1)
P(Z≥1)=1-0.8413
P(Z≥1)=0.1587
For the 1200 boxes with more than the 340 nails is 192.
Hence,option B is correct.
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what is (9+8/7+6+89+65698-7875+77-88)*999999 you will give you 100 and brainlist if it is also incorrect
The answer is 57917084940
Step-by-step explanation:
1) Simplify 9 + 8/7 + 6 + 89 + 65698 - 7875 + 77 - 88 to 405420/7.
\( \frac{405420}{7} \times 999999\)
2) Use this rule: a/b × c = ac/b.
\( \frac{405420 \times 999999}{7} \)
3) Simplify 405420 × 999999 to 405419594580.
\( \frac{405419594580}{7} \)
4) Simplify.
\(57917084940\)
Therefor, the answer is 57917084940.
Polly is a server at a
restaurant. A table spends $34
and leaves Polly an 18% tip.
What is Polly's tip?
Answer:
They gave her a $6.12 tip
Step-by-step explanation:
You have to multiply the total ($34) by the Percent (18% = 0.18), and then you will have your final answer.
The value of 0.01 gramis equivlent to
Answer:
10 milligrams
Step-by-step explanation:
Answer:
1 milligrams
milligrams
Water Tank A water tank is shaped like the cone shown here. How much water can
the tank hold? Use 3.14 for a. If water is drained from the tank to fill smaller tanks
that each hold 200 m² of water, how many smaller tanks can be filled?
Answer:
The tank can hold about 1077.02 m^2.
About 5 200 m^2 tanks could be filled.
find the maximum value of the function f(x)=-1.8x^2+7x-11 to the nearest hundredth.
The maximum value of the function f (x) = -1.8x² + 7x - 11 to the nearest hundredth is, - 4.19.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
We have to given that;
The function is,
⇒ f (x) = -1.8x² + 7x - 11
Now, We can differentiate with respect to x as;
⇒ f ' (x) = - 1.8 × 2x + 7 × 1 - 0
⇒ f ' (x) = - 3.6x + 7
Put f ' (x) = 0
⇒ - 3.6x + 7 = 0
⇒ 3.6x = 7
⇒ x = 1.94
Now, Again differentiate with respect to x as;
⇒ f ' (x) = - 3.6x + 7
⇒ f '' (x) = - 3.6 × 1 + 0
⇒ f '' (x) = - 3.6 < 0
Hence, Substitute x = 1.94 in function to get maximum value,
⇒ f (x) = -1.8x² + 7x - 11
⇒ f (x) = -1.8 (1.94)² + 7 × 1.94 - 11
⇒f (x) = - 6.77 + 13.58 - 11
⇒ f (x) = - 4.19
Thus, The maximum value = - 4.19
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I have to add this problem
5/8+2/8
giving 10 points:)
The addition of the given fraction expression is 7/8.
In mathematics, an expression is a combination of numbers, symbols, and/or operators that represents a mathematical quantity or relationship. It can be a simple combination of numbers or a more complex combination involving variables, functions, or other mathematical constructs.
When adding fractions with the same denominator, you simply add the numerators and keep the denominator the same.
In this case, both fractions have a denominator of 8, so we can add their numerators:
5/8 + 2/8 = (5 + 2)/8 = 7/8
Thus, the sum of 5/8 and 2/8 is 7/8.
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divide the polynomials x^2-10,000/x-100
Answer:
x+100
Step-by-step explanation:
x^2-10,000/x-100
x^2-10000 is a difference in squares and can be factored.
x^2-10000 = (x+100)(×-100).
(x+100)(x-100)/(x-100)
(x-100) cancel each other.
x+100 remains.
In ΔUVW, u = 76 inches, w = 71 inches and ∠W=69°. Find all possible values of ∠U, to the nearest degree.
The value of the angle U from the calculation is 88 degrees.
How do you solve a triangle?The sine rule can be applied in a variety of situations, such as determining a triangle's unknown side lengths or angles. The sine rule can be used to locate the missing side or angle if you know the lengths of two sides and the measure of an angle (not necessarily the included angle).
By the use of the sine rule;
u/Sin U = w/Sin W
Thus;
76/Sin U = 71/Sin 69
Sin U = 76Sin 69/71
U = Sin-1 (76Sin 69/71)
U = 88 degrees
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What is the missing power?
Answer:
a) 10
b) 10000
c) 100
d) 1000
Step-by-step explanation:
With 0.80 × 10, we move the decimal up one place, so it equals 8.0 or 8
10000 × 0.002, we move the decimal up four places, so it equals 0020.0 or 20
0.04 × 100, we move the decimal up two places, so it equals 04.0 or 4
Lastly, 1000 × 0.5, we move the decimal up three places, so it equals 500.0 or 500
Using the powers of ten, we either move the decimal up or down according to the number of zeros.
Estimate the sum of 379+409=
Answer:
Round both numbers to 1 significant figure.
400+400=800
800 is the answer.
E Question 18/20 < > NEXT DOOKMARK 18 You go out to eat and your bill is $14.76. You want to tip 20%, what will you leave as the tip?
Use appropriate descriptive statistics to summarize the transmission failure data. 2. Develop a 95% confidence interval for the mean number of miles driven until transmission failure for the population of automobiles with transmission failure. Provide a managerial interpretation of the interval estimate. 3. Discuss the implication of your statistical findings in terms of the belief that some owners of the automobiles experienced early transmission failures. 4. How many repair records should be sampled if the research firm
Answer:
Hello your question is incomplete below is the missing part of the question
Metropolitan Research, Inc., a consumer research organization, conducts surveys designed to evaluate a wide variety of products and services available to consumers. In one particular study, Metropolitan looked at consumer satisfaction with the performance of automobiles produced by a major Detroit manufacturer. A questionnaire sent to owners of one of the manufacturer's full-sized cars reviewed several complaints about early transmission problems. To learn more about the transmission failures, Metropolitan used a sample of actual transmission repairs provided by a transmission repair firm in the Detroit area. The following data show the actual number of miles driven for 50 vehicles at the time of transmission failure:
Miles
85092
39323
64342
74276
74425
37831
77539
32609
89641
61978
66998
67202
89341
88798
59465
94219
67998
40001
118444
73341
77437
116803
59817
72069
53500
85288
32534
92857
101769
25066
79294
138114
64090
63436
95774
77098
64544
53402
32464
65605
121352
69922
86813
85586
59902
85861
69568
35662
116269
82256
4.) How many repair records should be sampled if the research firm wants the population mean number of miles driven until transmission failure to be estimated with a margin of error of 5000 miles? Use 95% confidence.
answer : 1) Min value = 25070 1st quarter = 60420,Median = 72700,Mean = 73340,3rd quarter = 86580,Max value = 138100
2) ( 66438.73, 80241.87 )
3) The statistical results shows that some owners of the automobiles experienced early transmission failures
4) 95
Step-by-step explanation:
1) The transmission failure ( using descriptive statistics )
Min = 25070
1st quarter = 60420
Median = 72700
Mean = 73340
3rd quarter = 86580
Max = 138100
2) managerial interpretation of interval estimate
given 95% confidence interval
a = 0.05
z(0.025) = 1.96
Hence the 95% confidence interval for the mean number of miles driven until transmission failure
= xbar +/- Z*s/vn
⇒ 73340.3 +/- 1.96*24898.72 * \(\sqrt{50}\)
= ( 66438.73, 80241.87 )
3) The findings shows that some owners of the automobiles experienced early transmission failures
4 ) number of repair records
n = ( Z * S/E) ^2 ------- 1
Where : Z = 1.96, S = 24898.72, E = 5000
= 1.96 * 24898.72 / 5000 ) ^2
= 95
Cual es el resultado de la división 636
entre 3
Answer:
its gonna be 212 fam
Step-by-step explanation:
Find the Highest Common Factor (HCF) the following sets of numbers:
6 and 12
10 and 20
8 and 24
24 and 30
8 and 18
9 and 21
18 and 24
20 and 28
15 and 20
12 and 20
Select three ratios that are equivalent to 11:1.
Choose 3 answers:
1:11
22:2
55:5
9:99
Answer:
22:2, 55:5, 1:11
Step-by-step explanation:
Answer:
22:2 55:5 and no others
Step-by-step explanation:
Joylin’s work to solve a math problem is shown below. Problem: Manny walked StartFraction 5 Over 16 EndFraction of the distance to the library in One-third of an hour. If he walks at a constant rate, what is the total amount of time he will spend walking to the library? Step 1: StartFraction 5 Over 16 EndFraction divided by one-third = h Step 2: StartFraction 16 Over 5 EndFraction times StartFraction 3 Over 1 EndFraction = h Step 3: StartFraction 48 Over 5 EndFraction = h Answer: 9 and three-fifths = h What was Joylin’s first error? She switched the divisor and the dividend when creating an equation to model the problem in step 1. She replaced both the divisor and the dividend with their reciprocals when changing division to multiplication in step 2. She multiplied the two numerators and the two denominators to generate her product in step 3. She reduced the improper fraction incorrectly when getting her final answer.
Answer: She replaced both the divisor and the dividend with their reciprocals when changing division to multiplication in step 2
Step-by-step explanation:
Answer:
She replaced both the divisor and the dividend with their reciprocals when changing division to multiplication in step 2.
Step-by-step explanation:
The following triangles are similar triangles with some dimensions specified. Find the measures of the other sides.
Answer:
116°
Step-by-step explanation:
(Angle sum property of a triangle = 180°)
angle A + angle C + angle ABC = 180°
66° + 50° + angle BAC = 180°
116° + angle ABC = 180°
angle ABC = 180° - 116°
angle ABC = 64°
angle ABD + angle ABC = 180°
angle ABD + 64° = 180°
angle ABD = 180° - 64°
angle ABD = 116°
So, the measure of the unknown angle is 116°
27L 600mL divided by 6
Answer:
4 L 600 mL
Step-by-step explanation:
1 L = 1000 mL
so 27 L 600 mL = 27000 + 600 = 27600 mL
27600/6 = 4600 mL
4 L 600 mL.
One year ago, you allocated the funds in your portfolio among four securities in the proportions
listed below. The rate of return on each security for the year is given in the third column of the table.
Security
Canadian
Equity
Provincial
Bonds
Asian Equity
Ethical Funds
Proportion Rate of return for the
invested (%)
year (%)
25
10
35
30
12
7
22
-12
Calculate the rate of return for the entire portfolio.
The rate of return for the entire portfolio, given the amount allocated to each of the four securities is
How to find the rate of return ?The rate of return would be the expected return of the proportion of the amounts invested into the various investment vehicles and their rates of return.
The rate of return for the portfolio is therefore :
= ∑ ( proportion invested x rate of return )
= ( 25 % x 12 % ) + ( 10 % x 7 % ) + ( 35 % x 22 % ) + ( 30 % x - 12 % )
= 7. 8 %
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Which number doesn't share the same pattern as
2,20, 4,8,300
In a shooting contest in which 50 people participated, the following frequency table was obtained.
a.Calculate the mean score, correct to the nearest whole number.
The mean score to the nearest whole number is equal to 5.0
How to calculate the mean for the set of data?In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:
Mean = [F(x)]/n
For the total number of data based on the frequency, we have;
Total score, F(x) = 1(3) + 2(1) + 3(4) + 4(10) + 5(15) + 6(9) + 7(3) + 8(5)
Total score, F(x) = 3 + 2 + 12 + 40 + 75 + 54 + 21 + 40
Total score, F(x) = 247
Now, we can calculate the mean score as follows;
Mean = 247/50
Mean = 4.94 ≈ 5.0.
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An arrangement for one container needs to have at least 4 flowers in it and the total wholesale cost must be less than $12. At wholesale, lilies cost $2 per flower and roses cost $3 per flower. If x is the number of lilies and y is the number of roses, which graph represents the system of inequalities for this scenario?
Answer:
the answer is A on edge 2020
Step-by-step explanation:
hope this helped:)
Answer:
Your answer is A.
Step-by-step explanation:
A submarine dives 155 meters below sea level and then rises 117 meters. What is the new location of the submarine?
Answer:
38 meters below sea level.
Step-by-step explanation:
if the sub dives 155 BELOW sea level, this equals -155.
then it RISES 117 meters, which equals +117.
we can make this into an equation
-155+117=-38!
the location of the sub is 38 meters below sea level.
Write the equation of a quadratic
function a single root at at x = 5 and
goes through the point (-1,12).
if it only has one root and is a 2nd degree polynomial, that means that the only one root has multiplicity of 2, or namely is repeated twice.
\(\begin{cases} x = 5 &\implies x -5=0\\ x = 5 &\implies x -5=0\\ \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{original~polynomial}{a ( x -5 )( x -5 ) = \stackrel{0}{y}}\hspace{5em}\textit{we also know that} \begin{cases} x=-1\\ y=12 \end{cases} \\\\\\ a ( -1 -5 )( -1 -5 ) = 12\implies a36=12\implies a=\cfrac{12}{36}\implies a=\cfrac{1}{3} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{3}(x-5)(x-5)=y\implies \cfrac{1}{3}(x^2-10x+25)=y\implies \boxed{\cfrac{x^2}{3}-\cfrac{10x}{3}+\cfrac{25}{3}=y}\)
• 5. A certain type of bacteria, given a favorable growth medium, doubles
in population every 4 hours. Given that there were approximately 100
bacteria to start with, how many bacteria will there be in a day and a
half?
Answer:
51,200
Step-by-step explanation:
a day and a half = 36 hours
36/4 = 9
There are 9 doubling periods
how many bacteria will there be in a day and a half?
100 * 2^9
100 * 512
51200
21 20 15 22 19 23 17 what is the median and range
The median would be 22:
Step-by-step explanation: The median is the number that is in the middle
Simply defined, the median is the number right in the middle of a set.
But before I get down to finding the median, I will order the numbers from least to greatest:
15, 17, 19, 20, 21, 22, 23
Now, the middle number is 20. So that's the median.
As for the range, it's the difference between the largest number and the smallest one:
Range = Greatest number - Smallest number
= 23 - 15
= 6
In summary, the median, the number in the middle, is 20, and the range, the difference between the largest number and the smallest one, is 6.