Answer:
x = -1/2 = -0.5
Step-by-step explanation:
4.5x + 9 -1/2x = -3.75 +5 1/2 + 5.25
⇔ (4 1/2 - 1/2)x + 9 = (5 1/2 + 5 1/4) - 3 3/4
⇔ 4x + 9 = 10 3/4 - 3 3/4
⇔ 4x + 9 = 10 - 3
⇔ 4x + 9 = 7
⇔ 4x = 7 - 9
⇔ 4x = -2
⇔ x = -2/4
⇔ x = -1/2
⇔ x = -0.5
Using a sequencing method called "RNAseq," a researcher determines the level of FOXP2 expression
The Z-score is 2.306 to three decimal places. However, the Z-test statistic value shows that it is greater than the Z-critical value, so we reject the null hypothesis [tex]\mathbf{H_o}[/tex]
What is the Z-score of a test statistic?A z-score is a measurement of how often standard deviations the score obtained from a z-test is beyond or under the mean population.
From the given data information, let us find the mean and the standard deviation.
[tex]\mathbf{Mean (\bar x) = \dfrac{1154+5998+1007+...3987+4187+887}{10}}[/tex]
[tex]\mathbf{Mean (\bar x) = \dfrac{24256}{10}}[/tex]
Mean (x) = 2425.6
The hypothesis testing can be computed as:
[tex]\mathbf{H_o: \mu = 2425.6}[/tex]
[tex]\mathbf{H_1: \mu \ne 2425.6}[/tex]
The standard deviation (σ) is:
[tex]\mathbf{=\mathbf{ \sqrt{\dfrac{(1154-2425.6)^2+....+(887-2425.6)^2}{10-1}}}}[/tex]
[tex]\mathbf{= \sqrt{3199489}}[/tex]
= 1788.71
Now, the Z-test statistic is determined using the formula:
[tex]\mathbf{|Z| = |\dfrac{\bar x - \mu }{\sigma}| }[/tex]
[tex]\mathbf{|Z| = |\dfrac{2425.6 -6550 }{1788.71}| }[/tex]
[tex]\mathbf{|Z| = |-2.3058| }[/tex]
Z ≅ 2.306
Therefore, at a 0.05 level of significance, the Z-critical value is 2.306. However, since the Z-test statistic value shows that it is greater than the Z-critical value, so we reject the null hypothesis [tex]\mathbf{H_o}[/tex]
The complete question is given as:
Using a sequencing method called "RNAseq," a researcher determines the level of FOXP2 expression in 10 different samples of lung tissue, and obtains these data:
1154 5998 1007 2501 1000 988 2547 3987 4187 887Scientist has previously determined that FOXP2 is expressed in brain tissue at a level of 6,550. Calculate the Z-score associated with a test to see if the average expression of FOXP in her lung tissue samples is different from the levels she measured from brain tissue.
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a woman at a point a on the shore of a circular lake with radius 1.2 mi wants to arrive at the point B diametrically opposite A on the other side of the lake in the shortest possible time (see the figure). she can walk at the rate of 5 mi/h from C to B and row a boat at 3.5 mi/h from A to C . setting T (x) function to the time by interlaced AC, x is interlacted AC. how to move for shortest.
If she arrives by boat;
The distance she needs to row = Lake diameter
Distance = Lake diameter = 2 x Radius
Boat distance = 2 x 2 miles = 4 miles
So;
When moving on foot
The distance that needs to be moved D = Half of the circle circle
∴ D = π × Radius
The distance that needs to be moved D = π × 2 miles = 2π Miles
Arc length = Radius × θ
String length = radius x 2 x sin (θ / 2)
0 ≤ θ ≤ π, 0 ≤ sin (θ / 2) ≤ 1
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Prove that < AOD and < BOD are supplementary
Angle AOD and < BOD are supplementary since they are both right angles which equal 180°.
What is a supplementary angle?It should be noted that a supplementary angle simply means an angle that adds up to 180°.
In this case, the angles given are both rights angles. This will be:
= 90° + 90°
= 180°
In this case, Angle AOD and < BOD are supplementary since they are both rights angles which equal 180°.
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Students in a fitness class each completed a one-mile walk or run. The list shows the time it took each person to complete the mile. Each time is rounded to the nearest half-minute.
5.5, 6, 7, 10, 7.5, 8, 9.5, 9, 8.5, 8, 7, 7.5, 6, 6.5, 5.5
Which statements are true about a histogram with one-minute increments representing the data? Select three options.
A histogram will show that the mean time is approximately equal to the median time of 7.5 minutes.
The histogram will have a shape that is left-skewed.
The histogram will show that the mean time is greater than the median time of 7.4 minutes.
The shape of the histogram can be approximated with a normal curve.
The histogram will show that most of the data is centered between 6 minutes and 9 minutes.
The histogram will have a shape that is left-skewed. Then the correct option is B.
What is a histogram?A diagram is made up of rectangles whose size is related to a variable's frequency and whose width is comparable to the training sample.
Students in a fitness class each completed a one-mile walk or run. The list shows the time it took each person to complete the mile. Each time is rounded to the nearest half-minute.
5.5, 6, 7, 10, 7.5, 8, 9.5, 9, 8.5, 8, 7, 7.5, 6, 6.5, 5.5
Then the mean will be
Mean = (5.5 + 6 + ..... + 6.5 + 5.5) / 15
Mean = 111.5/12
Mean = 7.4333
Then the median will be
Median = 7.5
The histogram will have a shape that is left-skewed.
Then the correct option is B.
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Answer:
The histogram will have a shape that is left-skewed.
The shape of the histogram can be approximated with a normal curve.
The histogram will show that most of the data is centered between 6 minutes and 9 minutes.
Step-by-step explanation:
B/2, D/4, E/5
what is golden ratio, and explain it's history
Answer:
The golden ratio is a proper term in the field of mathematics, but it finally covers more than the research in the field of mathematics. According to the current literature discussion, we can say that the discovery of the Golden ratio and how it evolved is still a mystery. But studies have shown that the Pythagorean school of ancient Greece in the 6th century BC studied the formation of regular 5-sided and regular 10-sided plots, leading modern mathematicians to conclude that the Pythagorean school had touched on and even mastered some of the rules of the golden ratio and also discovered irrational numbers. It focuses on the relationship from mathematics, to explore the principle of beauty and that beauty is harmony and proportion, according to the proportional relationship can form beautiful patterns, this is actually a digital proportional relations, the line is divided into two parts, a long and a short period of the ratio of the equal to the ratio of length to a long, their proportion is around 1.618:1, This mathematical principle is also embodied in the famous Frederikian sequence, in which everything in this proportion shows the harmony and balance of its internal relations.
In the 4th century BC, the Greek mathematician Eudoxus was the first to systematically study this problem and establish the theory of proportion. Around 300 BC, Euclid absorbed the research results of Eudoxus in writing The Elements of Geometry and further systematically discussed the Golden Section, which became the earliest treatise on the golden Section (i.e. the middle and the end ratio) [5].
After the Middle Ages, the golden ratio was shrouded in mystery. Italian mathematician Luca Pacioli called the middle and the end of the ratio sacred and wrote a book about it. The German astronomer Johannes Kepler called the divine ratio the Golden Ratio. Golden in the 19th century the name only gradually, and the evidence is that German mathematician Martin Ohm (English: Martin Ohm) wrote the second edition of the basic pure mathematics annotation wrote about the interpretation of the golden ratio: "people used to put any straight line along the way will be divided into two parts, the method of known as the golden mean". And in the ninth edition of the Encyclopaedia Britannica, published in 1875, Sully notes: "The interesting, experimental and strong idea put forward by Frederick... proclaimed the supposed superiority of the 'golden Section' in visual proportion." So the Golden Section was already popular. In the 20th century, American mathematician Mark Barr gave it the name Phi. The Golden Section has many interesting properties and has been widely used by humans to make it famous today. The most famous example is the golden ratio or 0.618 method in optimization, which is first proposed in 1953 by Jack Kiefer (English: Jack Kiefer), an American mathematician, and is promoted in China in 1970s.
can someone please help walk me through the steps to solve number 79? i’m lost
Answer: 70/29
Step-by-step explanation:
[tex]S=\theta r\\\\35=14.5 \theta\\\\\theta=\frac{35}{14.5}=\boxed{\frac{70}{29}}[/tex]
1) point)
Problem 2. Fill out the blank to make the given table a discrete probability distribution.
1) point)
2
3
4
P(x)
0.03
0.14
0.65
0.08
Explanation:
Add up the given decimal values
0.03+0.14+0.65+0.08 = 0.90
Recall that all of the P(X) values must add to 1 to represent 100% of all possible outcomes. So far we added to 0.90, so we're missing 1 - 0.90 = 0.10
As a check,
0.03+0.14+0.65+0.08 + 0.10 = 1
How to convert from vertex to standard y=2(x-2)^2 -2 to standard
The quadratic equation in standard form is:
[tex]y = 2x^2 - 8x + 6[/tex]
How to convert from vertex form to standard?
Here we have the quadratic equation:
[tex]y = 2*(x - 2)^2 - 2[/tex]
Here we need to expand the right side, remember:
[tex](a + b)^2 = a^2 + 2ab + b^2[/tex]
Using that, we get:
[tex]y = 2*(x - 2)^2 - 2 = 2*(x^2 - 4x + 4) - 2\\\\y = 2x^2 - 8x + 8 - 2\\\\y = 2x^2 - 8x + 6[/tex]
This is the quadratic equation in standard form.
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Steve bought a new car for $22,000 but paid 93% of the list price. How much was the list price
Answer:
approximately $23,655.91 (rounded to the nearest hundredths place)
Step-by-step explanation:
[tex]22,000=0.93x\\x=23,655.91[/tex]
Content attribution
QUESTION 5 1 POINT
Tickets for a basketball game cost $5 for students and $8 for adults. The number of students was 7 less than 11 times the
number of adults. The total amount of money from ticket sales was $3682. How many of each ticket were sold?
Provide your answer below:
FEEDBACK
adult tickets, student tickets
FEED-BACK
Answer:
Adult: 59 tickets, Student: 642 tickets
Step-by-step explanation:
$5 = ticket per student (s)
$8 = ticket per adult (a)
$3682 = total money made
# of s = 11a-7 (7 less than 11 times the adults)
We can use this information to create a systems of equations.
5s + 8a = 3682
*price of a ticket times the number of students or adults equals total*
where s = 11a-7
Now we substitute in:
5(11a-7) + 8a = 3682
55a - 35 + 8a = 3682
63a - 35 = 3682
63a = 3717
a = 59
so 59 adult tickets were sold, now we can use this information to solve for student tickets.
s = 11(59)-7
s = 642
So 59 adult tickets, and 642 student tickets were sold.
4x + 2y=4 and 3x -y= -7
Answer:
y = 4
x = -1
Step-by-step explanation:
4x + 2y = 4 Eq. 1
3x - y = -7 Eq. 2
from the Eq. 2
3x = y - 7
3x + 7 = y Eq. 3
Replacing the value of the Eq. 3 in the Eq. 1
4x + 2(3x+7) = 4
4x + (2*3x + 2*7) = 4
4x + (6x + 14) = 4
10x + 14 = 4
10x = 4 - 14
10x = - 10
x = -10/10
x = -1
from the Eq. 3
3x + 7 = y
3*-1 + 7 = y
-3 + 7 = y
4 = y
Check:
from the Eq. 1
4x + 2y = 4
4*-1 + 2*4 = 4
-4 + 8 = 4
Using the Addition Method, solve for y in the following system of linear equations: 4x – 2y = 6 2x + y = 7
Answer:
y = 2
Step-by-step explanation:
Addition Method:
4x - 2y = 6
2x + y = 7
-2(2x + y) = -2(7)
4x - 2y = 6
-4x - 2y = -14
-4y = -8
y = 2
Substitution Method:
4x - 2y = 6
2x + y = 7
-2y = 6 - 4x
2y = 4x - 6
y = 2x - 3
2x + (2x - 3) = 7
4x - 3 = 7
4x = 10
x = 2.5
2(2.5) + y = 7
5 + y = 7
y = 2
Brainliest, please :)
Urgent please help!!!!!!!!!!
—————————-
What is the solution to system of equations question?
Answer:
The correct answer is B, the second option
Step-by-step explanation:
(-2, 5/3)
Solve for the first variable in one of the equations, then substitute the result into the other equation.
if the length of a side of a square is x CM its perimeter is
Square perimeter =4x cm.
The complete length that a square's edge encompasses is referred to as its perimeter. Any enclosed geometric shape's perimeter may be computed by measuring the space around it.
By calculating the total of all the sides of a square, the perimeter may be determined. The perimeter of a square will be stated as,
The perimeter of square = s + s + s + s
⇒Perimeter of square = 4s, where "s" is the side length of the square.
This is because all edges of a square are equal and each edge measures "s" units.
Calculating the perimeter of a square:Mathematically, the formula for calculating a square's perimeter is: Square perimeter, (P) = 4 Side
⇒P= 4x cm
It is concluded that the solution is 4x cm.
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Answer this please, thank you in advance :D
i) Student A used the property of the power of a power and student B used the definition of power and the property of the product of power with the same base. ii) Both were correct.
How to understand power properties
In this question we must analyze the procedure used by each student to simplify a power into the form rⁿ:
i) The student A used the property of the power of a power which states that [tex](r^{m})^{n} = r^{m\cdot n}[/tex]. In exchange, the student B used the definition of power and the property of the product of powers with the same base.
ii) Based on the description in i), both students used correct methods of simplifying.
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Question Content Area
Strait Co. manufactures office furniture. During the most productive month of the year, 3,500 desks were manufactured at a total cost of $83,800. In the month of lowest production, the company made 1,240 desks at a cost of $61,900. Using the high-low method of cost estimation, total fixed costs are
a.$21,900
b.$49,885
c.$61,900
d.$83,800
b. Total fixed cost are $49885
What is fixed cost of product ?Sometimes production of a product may increase or decrease, but the cost which do not change with the change of output is called fixed cost of the product.
What is the total fixed cost ?
Highest monthly total cost = $83800
Highest monthly production units = 3500 desks
Lowest monthly total cost = $61900
Lowset monthly production units = 1240 desks
So, variable cost per unit = (Highest cost-lower cost)/(highest production units-lowest production units)
= ($83800-$61900)/(3500-1240)
= $21900/2260
= $9.7
∴ Total fixed costs=Highest monthly total cost-(highest production units×variable cost per unit)
= $83800-(3500×$9.7)
= $83800-$33950
= $49850
Nearest value is $49885, whch is the correct one.
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A soccer league has 160 players. Of those players 50% are boys. How many boys are in the soccer league?
Answer:
80 boys
Step-by-step explanation:
160 total players
50% are boys
50% of 160 is 80
f(x) = 3x² + 5x - 2
g(x) = 5x³-4x² + 4
Find (f + g)(x)
Answer: [tex]5x^3 - x^2 + 5x+2[/tex]
Step-by-step explanation:
[tex](f+g)(x)=(3x^2 + 5x-2)+(5x^3 - 4x^2 +4)=3x^2 + 5x-2+5x^3 - 4x^2 +4=\boxed{5x^3 - x^2 + 5x+2}[/tex]
I need help in this problem
Step-by-step explanation:
this is first an arithmetic sequence with the first term A1=3(1)+1=4 And the 12th term A12=3(12)+1=37. Then use this formula
S12=12/2 ×(4+37)
=6×41
=246
Evaluate sin ( Cos^-1( -15/17)) enter your answer as a fraction using the slash bar (/)
Answer:
sin(cos^-1(-15/17))=8/17
Step-by-step explanation:
I apologize for the bad writing, I hope you can read it
Suppose you just purchased a digital music player and put 6 tracks on it. After listening to it you decide you only like 2 songs. With the random feature on the player, each of the 6 songs is played once in random order. Find the probability that among the first 2 songs played
A. You like both of them
B. You like neither of them
C. You like exactly 1
The probability that among the first 2 songs played ;a) 6% , not unusual b) 40% and c) 48.4%
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
We have the following information from the statement:
n = 6, r = 2
a)
P (like both of them) = P (like first song) x P (like second song)
P = 2/6 x 1/5
P = 0.06 = 6%
The probability that among the first 2 songs played and You like both of them is 6%.
b)
P (like neither) = P (not like first song) x P (not like second song)
P = 4/6 x 3/5
P = 0.4 = 40%
c) P (like exactly one of them) = P (first song liked) x P (second song not liked) + P (first song not liked) x P (second song liked)
P = ( 2/6 x 1/5) + (4/6 x 3/5)
P = 0.484 = 48.4%
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5x -9=2y por suma y resta ecuacion
PLEASE HELP Only A
PLEASE
Answer:
= -9/15 ÷ 4/3
= -9/15×3/5
= -9/15×3/4
= 36/5
=7⅕
The Strikers soccer team has 20 members, and 8 of them play offense. What percent of the team members play offense?
Answer:
40%
Step-by-step explanation:
We already have our first value 20 and the second value 8. Let's assume the unknown value is Y which answer we will find out.
As we have all the required values we need, Now we can put them in a simple mathematical formula as below:
Step 1 ⇒ Y = 8/20
By multiplying both numerator and denominator by 100 we will get:
Step 2 ⇒ Y = 8/20 × 100/100 = 40/100
Step 3 ⇒ Y = 40
Finally, we have found the value of Y which is 40 and that is our answer.
Question
A company is considering producing some new Gameboy electronic games. Based on past records, management believes that there is a 70 percent chance that each of these will be successful and a 30 percent chance of failure. Market research may be used to revise these probabilities. In the past, the successful products were predicted to be successful based on market research 90 percent of the time. However, for products that failed, the market research predicted these would be successes 20 percent of the time. If market research is performed for a new product, what is the probability that the results indicate a successful market for the product and the product is actually not successful?
The probability that the results indicate a successful market for the product and the product is actually not successful is P=0.77.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
Events are given:
S: success
F: failure
MS: market research forecast a success
MF: market research forecast a failure
we have given:
P(S)=0.70
P(F)=0.30
P(S | MS)=0.90
P(F | MS)=0.20
we can derive that P(F | MF)=0.80.
We also can conclude that P(S | MF)=0.10.
We can calculate the probability of having a forecast of a failure,
[tex]P(MF | F) =\dfrac{ P(F | MF)P(F)}{ P(F | MF)P(F) + P(S | MS)P(S) }[/tex]
P (MF | F) = 0.24 / 0.31
P (MF | F) = 0.77
The probability that the results indicate a successful market for the product and the product is actually not successful is P=0.77.
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Solve: 2v+15=3w for w.
Answer:
w= 2v/3 plus 5
2v+15=3w.forw
Swap sides so that all variable terms are on the left hand side.
3w=2v+15
Divide both sides by 3.
3
3w
=
3
2v+15
Dividing by 3 undoes the multiplication by 3.
w=
3
2v+15
Divide 2v+15 by 3.
w=
3
2v
+5
Step-by-step explanation:
2v+15=3w.forw
Swap sides so that all variable terms are on the left hand side.
3w=2v+15
Divide both sides by 3.
3
3w
=
3
2v+15
Dividing by 3 undoes the multiplication by 3.
w=
3
2v+15
Divide 2v+15 by 3.
w=
3
2v
+5
Step-by-step explanation:
2v+15=3w.forw
Swap sides so that all variable terms are on the left hand side.
3w=2v+15
Divide both sides by 3.
3
3w
=
3
2v+15
Dividing by 3 undoes the multiplication by 3.
w=
3
2v+15
Divide 2v+15 by 3.
w=
3
2v
+5
Step-by-step explanation:
2v+15=3w.forw
Swap sides so that all variable terms are on the left hand side.
3w=2v+15
Divide both sides by 3.
3
3w
=
3
2v+15
Dividing by 3 undoes the multiplication by 3.
w=
3
2v+15
Divide 2v+15 by 3.
w=
3
2v
+5
Step-by-step explanation:
Assuming that Hamid’s revenue is found by multiplying the book price by the number of copies sold, create an equation (in standard form) to model his revenue.
An equation of Hamid’s revenue by multiplying the book price by the number of copies sold is x = ny.
What is an equation?The process of equating one thing with another.
Let Hamid’s revenue is $x and the price of book is $y.
If he sold n number of copies.
Then, the general equation will be x = n * y.
Therefore, an equation of Hamid's revenue will be x = ny.
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This year Rafael has 60 regular customers which is 150 percent of the 40 regular customers he had last year.
The base is 60, the part is 40 and the rate is 150%.
How to depict the information?The base is the whole quantity or amount that the problem is about.
The part is referred to as the percentage is the portion of the base. The rate is the number with the percentage.
In this case, the base is 60, the part is 40 and the rate is 150%.
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Fill in the blank to make the tw
7
9
||
0
54
X
Answer:
lol
79*540=lol haha
Step-by-step explanation:
then lol lala lol hahahaha hahaha ten another big lol get it lollalol
PLEASE PLEASEEEEEEE HELPPPPPP!! 100 POINTSSSS :)
A Ferris wheel, called the Atlanta Skyview, recently opened in Centennial Olympic Park in the Atlanta, GA area. The diameter of this Atlanta attraction is 200 feet and has 42 gondolas evenly spaced out along the circle. Each sector starts and ends at the point at which the gondola is attached to the Ferris wheel circle.
Answer the following questions about this Ferris wheel. Be sure to show and explain all work for each problem.
a. Area of the wheel?
b. measure the central angle in degrees
c. Measure of a central angle in radians
d. Arc length between two gondolas
e. Area of each sector.
The area of the wheel is 31415.9 ft².
The Central angle in degrees is 34.29°
Measure of a central angle in radians is 0.5984 radians
How to calculate the area and central angle of a circle?
A) The image shows an example of this Ferris wheel.
We are given;
Diameter; d = 200 ft
Radius; r = 100 ft
Number of gondolas = 42
Area of the circle wheel = πr²
Area = π * 100²
Area = 31415.9 ft²
B) Now, the sum of angles in a circle is 360°.
Since there are 42 gondola's, then;
Each angle = 360/42 = 60/7°
The central angle will be an angle with its vertex at the center of a circle and with sides that are radii of the circle. From the image, we see that it covers approximately 4 gondola's. Thus;
Central angle = 4 * 60/7° = 34.29°
C) Central Angle in radians will be converted as 0.5984 rad.
D) Arc length between two gondolas is;
S = rθ
S = 100 * 0.5984
S = 59.84 radians
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