Answer:
Let's convert 2/3 into an equivalent fraction in terms of 9ths, by multiplying both the ... 2/3 = 0.66. Of course 7/9 is greater than 2/3. But here is a short trick to solve this type ... This creates easily comparable numbers for us to look at. ... To do this, multiply no th h the numerator and the denominator separately by 3 to give 6/9.
Step-by-step explanation:
We need to make a common denomiator by finding the LCM (least common multiple!)
In this case, that would be 9!
7 2/3 = 7 6/9
We can compare these two fractions easily!
Which means that
\(7\frac{4}{9} < 7\frac{2}{3}\)
DM me on discord at BLAƆK PIΩK#6762 for math tutor
$15/hour
substitution y=2y-2 and y=2x-5y=1
Answer:
We can solve for y in the equation y = 2y - 2 by substituting y = 2x - 5.
Starting with y = 2y - 2, we substitute y = 2x - 5:
2x - 5 = 2(2x - 5) - 2
Expanding the right side:
2x - 5 = 4x - 12
Next, we isolate y by subtracting 2x from both sides:
-2x - 5 = 4x - 12
Adding 2x to both sides:
-5 = 6x - 12
Adding 12 to both sides:
7 = 6x
Finally, we divide both sides by 6 to solve for x:
x = 7/6
So, y = 2x - 5 = 2(7/6) - 5 = 7/3 - 5 = -14/3.
Therefore, y = -14/3 is the solution to the system of equations y = 2y - 2 and y = 2x - 5.
Step-by-step explanation:
the n 1/2 of the se 1/4 of the sw 1/4 and the ne 1/4 of the sw 1/4 of section 19 contains how many acres?
The n 1/2 of the se 1/4 of the sw 1/4 and the ne 1/4 of the sw 1/4 of Section 19 contains 40 acres.
The method used for land surveying is called the government rectangular survey system.
This system is commonly known as the Public Land Survey System (PLSS) of the United States. It is based on a grid network. The grid is formed with meridians and baselines.
The meridians are the imaginary lines running north to south, and the baselines are the imaginary lines running east to west. The meridians and baselines are named as ranges and townships, respectively.
Each range is 6 miles wide and numbered consecutively, beginning with the one on the far west side of the state. The townships are numbered from 1 to 36, in sequence, beginning at the southeast corner of the state. The government rectangular survey system divides the land into smaller units as follows:
Each township is further divided into 36 sections, each section is one square mile, or 640 acres.
Each section is further divided into halves, or 320 acres, and each half is divided into quarters, or 160 acres, and each quarter is divided into quarters again, or 40 acres.
Finally, each 40-acre parcel is divided into quarters, or 10 acres.
Therefore, the n 1/2 of the se 1/4 of the sw 1/4 and the ne 1/4 of the sw 1/4 of section 19 contains 40 acres.
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Which of the tables represents a function? (5 points)
Table B
Table C
Table A
Input Output
Table D
Input Output
Input Output
Input Output
5
3
1
2
0
0
4
2
5
2
3
2.
1
2
4
3
4
1
5
3
1
3
4
4
Table o
Table A
Table B
Table D
Answer:
table b
Step-by-step explanation:
functions don't give different outputs for the same input
plz help will give brainlyest
top one : frame A.
bottom one : 6 inches
Answer:
Give brainliest to the other person who answered
Step-by-step explanation:
Have a fantastic day!
In parallelogram LMNOMP is equal to 21MLB is equal to Y plus 3MNP03Y minus 1MNOP is equal to 2X -1 and what are the values of X and Y
Answer: 3 and 2
Step-by-step explanation:
Answer:
3 & 2
Step-by-step explanation:
Help please quite immediate am pro
PLS HELPP I NEED AN ANSWER ASAP ILL GIVE BEAINLIEST
The top right graph could show the arrow's height above the ground over time.
Which graph models the situation?The initial and the final height are both at eye level, which is the reference height, that is, a height of zero.
This means that the beginning and at the end of the graph, it is touching the x-axis, hence either the top right or bottom left graphs are correct.
The trajectory of the arrow is in the format of a concave down parabola, hitting it's maximum height and then coming back down to eye leve.
Hence the top right graph could show the arrow's height above the ground over time.
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Solve for a. Please
1+4a<9
Answer:
a < 2
Step-by-step explanation:
Answer:
I dont know
but 5b<10?
Step-by-step explanation:
I dont know
A boat is heading towards a lighthouse, where Taylor is watching from a vertical distance of 118 feet above the water. Taylor measures an angle of depression to the boat at point
A
A to be 12
∘
∘
. At some later time, Taylor takes another measurement and finds the angle of depression to the boat (now at point
B
B) to be 74
∘
∘
. Find the distance from point
A
A to point
B
B. Round your answer to the nearest foot if necessary
Using the slope concept, it is found that the distance from point A to point B is of 521 feet.
What is a slope?The slope is given by the vertical change divided by the horizontal change.
It's also the tangent of the angle of depression.
In this problem, the vertical change is of 118 feet.
At point A, the angle is of 12º, while the horizontal position is of \(x_A\), hence:
\(\tan{12^\circ} = \frac{118}{x_A}\)
\(x_A = \frac{118}{\tan{12^\circ}}\)
\(x_A = 555.1\)
At point B, the angle is of 74, while the horizontal position is of \(x_B\), hence:
\(\tan{74^\circ} = \frac{118}{x_B}\)
\(x_B = \frac{118}{\tan{74^\circ}}\)
\(x_B = 33.84\)
The distance in feet is of:
\(d = x_A - x_B = 555.1 - 33.84 \approx 521\)
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What type of angle is this?
Answer: that is a vertical angle
Step-by-step explanation:
whenever you see an odd shape like x it will always be vertical
Use the transformation uequals=x plus 6 yx+6y, vequals=y minus xy−x to evaluate the given integral by first writing it as an integral over a region G in the uv-plane. ModifyingAbove Modifying Below Integral from nothing to nothing With four sevenths width 0 ModifyingAbove Modifying Below Integral from nothing to nothing With 4 minus 6 y width y (x plus 6 y )e Superscript (y minus x )Baseline dx dy
Answer:
Step-by-step explanation:
if i know
g assume that 12 jurors are randomly selected from a population in which 77% of the people are mexican-americans. refer to the probability distribution table below and find the indicated probabilities. 00 10 20 30.0002 40.0014 50.0073 60.0285 70.0818 80.1712 90.2547 100.2558 110.1557 120.0434 find the probability of exactly 6 mexican-americans among 12 jurors. round your answer to four decimal places. 0.0285 correct find the probability of 6 or fewer mexican-americans among 12 jurors. round your answer to four decimal places. 0.0374 correct does 6 mexican-americans among 12 jurors suggest that the selection process discriminates against mexican-americans?
The we can conclude that there is not enough evidence to suggest that the selection process discriminates against Mexican-Americans.
Answer:The probabilities of the given problem are as follows:Probability of 0 Mexican Americans among 12 jurors = 0.0002Probability of 1 Mexican American among 12 jurors = 0.0014Probability of 2 Mexican Americans among 12 jurors = 0.0073Probability of 3 Mexican Americans among 12 jurors = 0.0285Probability of 4 Mexican Americans among 12 jurors = 0.0818Probability of 5 Mexican Americans among 12 jurors = 0.1712Probability of 6 Mexican Americans among 12 jurors = 0.2547Probability of 7 Mexican Americans among 12 jurors = 0.2558Probability of 8 Mexican Americans among 12 jurors = 0.1557Probability of 9 Mexican Americans among 12 jurors = 0.0434Probability of 10 Mexican Americans among 12 jurors = 0.0093Probability of 11 Mexican Americans among 12 jurors = 0.0011Probability of 12 Mexican Americans among 12 jurors = 0.0001The probability of exactly 6 Mexican-Americans among 12 jurors can be calculated by using the probability mass function(PMF).It is P(X = 6) = 0.2547We have to round our answer to four decimal places. Therefore, the required probability of 6 Mexican-Americans among 12 jurors is 0.2547.
The probability of 6 or fewer Mexican-Americans among 12 jurors can be calculated as follows:P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)P(X ≤ 6) = 0.0002 + 0.0014 + 0.0073 + 0.0285 + 0.0818 + 0.1712 + 0.2547P(X ≤ 6) = 0.0374We have to round our answer to four decimal places. Therefore, the required probability of 6 or fewer Mexican-Americans among 12 jurors is 0.0374.Solution:It is given that 12 jurors are randomly selected from a population in which 77% of the people are Mexican-Americans.We can use probability distribution table to find the required probabilities. The given probability distribution table is:To find whether the selection process discriminates against Mexican-Americans or not, we have to compare the expected frequency with the observed frequency. We can use the chi-square test for goodness of fit to compare the observed frequency with the expected frequency.The null hypothesis for the chi-square test of goodness of fit is that the observed frequency and the expected frequency are equal. The alternate hypothesis is that the observed frequency and the expected frequency are not equal.The expected frequency can be calculated as follows:Expected Frequency = Total Frequency × Probability of Mexican-AmericanSo, the expected frequency of Mexican-American jurors can be calculated as:Expected frequency of Mexican-Americans = 12 × 0.77 = 9.24
The expected frequency of non-Mexican-Americans can be calculated as:Expected frequency of Non-Mexican-Americans = 12 − 9.24 = 2.76Now, we can calculate the chi-square statistic as follows:Chi-Square = ∑((O − E)² / E)where, O = Observed frequencyE = Expected frequencyChi-Square = ((0 − 0.0002)² / 0.0002) + ((1 − 0.0014)² / 0.0014) + ((2 − 0.0073)² / 0.0073) + ((3 − 0.0285)² / 0.0285) + ((4 − 0.0818)² / 0.0818) + ((5 − 0.1712)² / 0.1712) + ((6 − 0.2547)² / 0.2547) + ((6 − 0.2558)² / 0.2558) + ((2.76 − 2.76)² / 2.76)Chi-Square = 5.23The degree of freedom can be calculated as follows:Degree of Freedom = Number of Categories − 1Degree of Freedom = 12 − 1 = 11At 95% confidence level and 11 degrees of freedom, the critical value of the chi-square statistic is 19.68.As the calculated chi-square statistic (5.23) is less than the critical value of the chi-square statistic (19.68), we fail to reject the null hypothesis. Therefore, we can conclude that there is not enough evidence to suggest that the selection process discriminates against Mexican-Americans.
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Suppose there is a colony of bacteria that decays at a rate of -17% per hour. When will half of the population be left
To find when half of the population of bacteria will be left given a decay rate of -17% per hour, you can use the formula for exponential decay:
Final Population = Initial Population * (1 + Decay Rate)^Time
In this case, you want to find the time when half of the population is left, so:
0.5 * Initial Population = Initial Population * (1 - 0.17)^Time
Now, you can solve for Time:
0.5 = (1 - 0.17)^Time
0.5 = 0.83^Time
To solve for Time, you can take the logarithm of both sides of the equation:
log(0.5) = log(0.83^Time)
Using the logarithm property, you can move Time to the front of the equation:
log(0.5) = Time * log(0.83)
Finally, solve for Time by dividing both sides by log(0.83):
Time = log(0.5) / log(0.83)
After calculating, you'll find that Time ≈ 3.94 hours. So, it will take approximately 3.94 hours for half of the bacterial population to be left, given a decay rate of -17% per hour.
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Write 28 + 24 as a product of 2 factors using the GCF and the distributive property.
Answer:
4(7 + 6)
Step-by-step explanation:
The GCF (greatest common factor) is the largest factor that both numbers share, and in this case it is 4.
28+24 as a product of 2 factors using the GCF and the distributive property is 4(7+6)
What is Number system?A number system is defined as a system of writing to express numbers.
We need to write 28 + 24 as a product of 2 factors using the GCF and the distributive property.
A factor is a number that divides another number, leaving no remainder
The greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.
We need to find factors 28 and 24
28=1,2,4,7,14,28
24=1,2,3,4,6,8,12,24
4 is the greatest common factor.
28 + 24
Take 4 as common
4(7+6)
Hence, 28+24 as a product of 2 factors using the GCF and the distributive property is 4(7+6)
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If BD = 16 yd and the area of rhombus ABCD is 72 yd^2, what is AC?
\(\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}\)
Given:▪ \( \sf{Area\text{ ABCD=}\frac{1}{2}\times AC\times BD}\)
▪ \( \sf{Area = 72 yd^2}\)
▪ \( \sf{BD = 6yd}\)
\(\leadsto\) Substitute the values:
\(\longrightarrow \sf{72 = \dfrac{1}{2} \times AC \times 16}\)
\(\leadsto\) Solve for AC:
\(\longrightarrow \sf{72=8\times AC}\)
\(\longrightarrow \sf{ \dfrac{72}{8}=\dfrac{8\times AC}{8}}\)
\(\longrightarrow \sf{AC=9}\)
\(\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}\)
\(\large \bm{AC= \: 9 yd}\)
BD = 16 yd
Area of ABCD = 72 yd²
AC = ?
Area of rhombus, using diagonal:
\( \frac{1}{2} \times d1 \times d2\)
Therefore:
\( \frac{1}{2} \times 16 \times ac = 72\)
Then:
\( \frac{16ac}{2} = 72\)
Cross multiply the above into:
\(16ac \times 1 = 72 \times 2 = 144 \\ 16ac = 144\)
Divide by the coefficient of AC:
\( \frac{16ac}{16} = \frac{144}{16} \)
Final answer is 9 yd
"repeated sampling of a certain process shows the average of all
samples ranges to be 1.00 cm. there are random samples and the
ssmple size has been 5. what is the upper control limit for R
chart?
Upper Control Limit for R Chart: UCL = D4 * R-Bar , UCL = 2.114 * 1.000, UCL ≈ 2.115 cm. Therefore, the correct answer is 2.115 cm(d).
To calculate the upper control limit for the R Chart, we need to use the following formula:
Upper Control Limit (UCL) = D4 * R-Bar
Where:
- D4 is a constant value based on the sample size (n=5 in this case).
- R-Bar is the average range of the samples, which is given as 1.000 cm.
The value of D4 for a sample size of 5 is 2.114. (You can find this value in statistical reference tables.)
Now, we can calculate the UCL:
UCL = D4 * R-Bar
= 2.114 * 1.000
= 2.114 cm
Rounding to 3 decimal places, the upper control limit for the R Chart is 2.114 cm.
Therefore, the correct option is: d. 2.115 cm
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The complete question is :
Repeated sampling of a certain process shows the average of all sample ranges to be 1.000 cm. There are 12 random samples and the sample size has been 5. What is the upper control limit for R Chart? Must compute in 3 dec pl. Select one: O a. 2.745 cm O b. 3.005 cm O c. 1.725 cm d. 2.115 cm e. 2.000 cm
E allowed
A metal sculpture has a total volume of 1250 cm³ and a mass of 8.1 kg.
Work out its density, in grams per cubic centimetre (g/cm³).
Give your answer to 2 d.p.
The density is 6.48 (g/cm³).
What is density?Density (vοlumetric mass density οr specific mass) is the substance's mass per unit οf vοlume. The symbοl mοst οften used fοr density is ρ (the lοwer case Greek letter rhο), althοugh the Latin letter D can alsο be used. Mathematically, density is defined as mass divided by vοlume:
\({\displaystyle \rho ={\frac {m}{V}}}\)
Here the given Vοlume = 1250 cm³, Mass = 8.1 kg.
We knοw that 1kg = 1000 g. Then,
Mass = 8.1*1000 = 8100 gram.
Nοw density = Mass/ Vοlume
=> Density = \(\frac{8100}{1250}\) = 6.48 (g/\(cm^3\))
Hence the density is 6.48 (g/\(cm^3\)).
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triangle bac was dilated from triangle bde at a scale factor of 2. what proportion proves that tan∠d
To determine the proportion that proves the relationship involving the tangent of angle D in the dilated triangles, we need more information about the angles and sides involved in triangles BAC and BDE. Specifically, we need the measures of the angles and the lengths of the sides to establish a proportion.
Without the specific measurements or relationships between angles and sides, we cannot provide a proportion that directly involves the tangent of angle D in this scenario. Dilations with a scale factor of 2 generally result in corresponding sides being twice as long, but the angles may or may not maintain the same measures. To establish a proportion involving the tangent of angle D, we would need more specific information about the triangle's properties, such as angle measures, side lengths, or additional relationships between angles and sides.
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Which is the graph of Y=3/5x-3
Answer:
Graph A
Step-by-step explanation:
A family decides to have children until it has tree children of the same gender. Given P(B) and P(G) represent probability of having a boy or a girl respectively. What probability distribution would be used to determine the pmf of X (X
The probability distribution used would be the negative binomial distribution with parameters p (either P(B) or P(G)) and r = 3. The PMF of X would then be calculated using the negative binomial distribution formula, taking into account the number of trials (number of children) until three children of the same gender are achieved.
The probability distribution that would be used to determine the probability mass function (PMF) of X, where X represents the number of children until the family has three children of the same gender, is the negative binomial distribution.
The negative binomial distribution models the number of trials required until a specified number of successes (in this case, three children of the same gender) are achieved. It is defined by two parameters: the probability of success (p) and the number of successes (r).
In this scenario, let's assume that the probability of having a boy is denoted as P(B) and the probability of having a girl is denoted as P(G). Since the family is aiming for three children of the same gender, the probability of success (p) in each trial can be represented as either P(B) or P(G), depending on which gender the family is targeting.
Therefore, the probability distribution used would be the negative binomial distribution with parameters p (either P(B) or P(G)) and r = 3. The PMF of X would then be calculated using the negative binomial distribution formula, taking into account the number of trials (number of children) until three children of the same gender are achieved.
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the measures of the bases of a trapezoid are 35 and 71. find the measure of the midsegment.
Answer:
Step-by-step explanation:
3245
Solve for x. 1/4+1/2+x=−3/4 Enter your answer as a fraction in simplest form in the box.
Answer:
yes!! finally a question i can solve:
so,
Step-by-step explanation:
Exact Form:
x = − 3/2
Decimal Form:
x = −1.5
Mixed Number Form:
x = -1 1/2
Elizabeth records the number of points her favorite basketball team scores in each game. She predicts that the team will score about 120 points in its next game is Elizabeth's prediction reasonable?
pls help it due tomorrow
Answer:
Based on the data that Elizabeth has gathered about her favorite basketball team's previous game scores, it's difficult to say whether her prediction of 120 points in the next game is reasonable. However, if the team has been consistently scoring around that range in the past few games, then it's possible that Elizabeth's prediction could be accurate. However, it's always important to keep in mind that any prediction or estimate is subject to unexpected changes, so it's always best to take them with a grain of salt.Step-by-step explanation:
yeah
the only calculated fields you can create in access are those involving addition and subtraction. True or false?
Answer:
false
Step-by-step explanation:
False.
Access supports a wide range of built-in functions and operators that can be used to create calculated fields. These functions and operators include mathematical functions (such as multiplication, division, exponentiation), string functions (such as concatenation, trimming, and formatting), date and time functions, aggregate functions (such as sum, average, count), and more.
In addition, Access also allows you to create user-defined functions using VBA (Visual Basic for Applications), which can be used to perform custom calculations on your data.
Therefore, the statement "the only calculated fields you can create in Access are those involving addition and subtraction" is false.
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Simplify using positive exponents.
12/x^-3
a. 12x^3
b. 15/x
c. 9x
d. x^3/12
can someone please explain how you get the answer. 50 points!
Answer:
a)
\(12 {x}^{3} \)
Step-by-step explanation:
from the laws of indices \( \frac{a}{ {b}^{ - 3} } \)\(a {b}^{3} \)
\( \frac{12}{x {}^{ - 3} } \)
Hence 12x³A recipe for one batch of bagels uses 1 3/4
cups of flour.
Brandon has 3 1/8
cups of flour.
Does he have enough flour to make 2
batches of bagels?
Brandon does not have enough flour to make 2 batches of bagels
What is an equation?An equation is an expression that is used to show how numbers and variables are related using mathematical operators
A recipe for one batch of bagels uses 1 3/4 cups of flour.
Amount of flour to make 2 batches of bagels = 1 3/4 + 1 3/4 = 7/4 + 7/4 = 7/2 = 3.5 cups of flour
Brandon has 3 1/8 cups of flour = 3.125 cups
1 3/4 + 1 3/4 (3.5 cups of flour) is greater than 3 1/8 (3.125 cups)
Brandon does not have enough flour to make 2 batches of bagels
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A professor wants to compare the variances of scores between two sections of c esses The students in each section took the same test The random samples 16, respectively. which of the following is a 99% confidence interval for the ratio ofthe population variances? eld sample variances of 20315 end -474 42 for samples of n1-13 and n2- a. [01540, 27809] b. [01386, 30895] c. [0.0907, 1.8198]
d. [01008, 20217]
Using f -statistic value relationship with population variation , the ratio of population variance lie in interval [0.1008,2.021].
0.1008 <σ₁²/σ₂²< 2.021
So, the correct option is option( d).
A professor wants to compare the variances of scores between two sections of classess.
we have
sample size for first class score (n₁) = 13
sample size for second class score (n₂) = 16
confidence interval is 99%
sample variance of first sample (s₁²) = 203.25
sample variance of second sample (s₂²)= 474.42
Using the relationship
( s₁² /s₂² )/F₁₋ₐ/₂ < σ₁²/σ₂²< ( s₁²/s₂²)/Fₐ/₂
a = 0.005
F at (1- a/2) or F₀.₉₉₅, ₁₃,₁₆= 4.249
F at a/2 or F₀.₀₀₅,₁₃, ₁₆ = 0.2118
plugging all known values in above formula
=> ( 203.25/474.42)/4.249<σ₁²/σ₂²< (203.25/474.42)/0.2118
=> 0.1008 <σ₁²/σ₂²< 2.021
=> σ₁²/σ₂² ∈[0.1008,2.021]
Hence, the ratio of population variance lies between interval [0.1008,2.021].
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The two lines below are parallel. If the slope of the red line is 3, what is the
slope of the green line?
Answer:
3
Step-by-step explanation:
since they are parallel the slopes are the same
The blue dotis at what value on the number line?
Answer:
the answer is -3 i think. if you look at the 3 and the nine, 6 would be in between them, so its counting by threes, and the dot is on -3
Step-by-step explanation:
1. is -3 greater or less than -7?
2. [-4]+3= ?
( WILL GIVE BRAINLIEST TO THE CORRECT ANSWER! )