The missing step was 2x-6+10x= 15+5x, the step where was applied the distributive property.
Applying the distributive property, the given radical expression can be represented by 15.
Properties of MultiplicationThe properties of multiplication are:
Distributive: a(b±c)= ab±acCommutative: a . b = b. aAssociative: a(b+c)= c(a+b)Identity: b.1=bFor answering the question, you should solve the given expression step by step. After that, you should identify the missing step from the information given for the question.
The question gives: 2(x-3) + 10x = 5(3 + x), from the distributive property. you have
2x-6+10x= 15+5x (step 1)
2x -5x +10x = 15+6 (step 2)
7x=21 (step 3)
x=3 (step 4)
See that step 1 (2x-6+10x= 15+5x ) is not shown in the question.
Read more about the distributive property here:
brainly.com/question/4077386
#SPJ1
Keiko is using metric units of capacity to find an equivalent measure for 3 gallons. She records the liquid volume using milliliters and deciliters. Which unit will give a more precise measure? Explain.
If she records the liquid volume using milliliter and deciliter, then the deciliter gives more precise measure
The total capacity = 3 gallon
Convert the gallon to milliliter
We know
1 gallon = 3.785 ml
The total capacity in milliliter = The total capacity × 3.785
Substitute the values in the equation
= 3 × 3.785
= 11.355 milliliter
Convert the gallon to deciliter
We know,
1 gallon = 37.854 deciliter
Total capacity in deciliter = The total capacity × 37.854
Substitute the values in the equation
= 3 × 37.854
= 113.562 deciliter
Here deciliter is much smaller than millimeter
Therefore, deciliter gives more precise measure
Learn more about liquid volume here
brainly.com/question/14535251
#SPJ4
A DJ added 20 more songs to his MP3 player, making the total more than 61. How many songs were originally on the player?
The number of songs that were originally on the player is 41.
What is an expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
In this situation, a DJ added 20 more songs to his MP3 player, making the total more than 61. The number of songs will be the subtraction of the value.
This will be:
= 61 - 20
= 41
The original songs are 41.
Learn more about expressions on:
brainly.com/question/723406
#SPJ1
Please HELPPPP
Quadrilateral ABCD is a square and the length of AC is 20 cm. What is the length of DE and DC?
What is
m ADE ?
For the square on the diagram, we can see that:
DE = 10cmDC = 14.14cmmADE = 45°What is the length of DE and DC?
Remember that all the sides of a square have the same length.
Here we know that AC, the diagonal of the square, has a measure of 20 cm.
Then the length of DE, which is half of the diagonal of the square, is half of that, then:
20cm/2 = 10cm
DE = 10cm
DC is one of the sides of the square. Remember that for a square of sidelength S, the diagonal is:
D = √2*S
Then the sidelength is:
S = D/√2
Here we know that the diagonal measures 20 cm, then:
DC = S = 20cm/√2 = 14.14 cm
DC = 14.14cm
Finally, mADE refers to the measure located at the vertex D on the triangle on the angle ADE.
Remember that all the angles of a square measure 90°, and here the ray DE divides that angle in two halves, then mADE = 90°/2 = 45°
Learn more about squares:
https://brainly.com/question/24487155
#SPJ1
Mr. Jones bought 6 and 2/7 lb. of salmon. He cooked 1/5 of it for lunch. How much salmon did he have for lunch?
The amount of the salmon left after Mr Jones used some part is
5 and 1/35 lbHow to find the amount leftTotal amount of salmon bought is 6 and 2/7 lb = 6 2/7 lb
The amount used is 1/5 of the amount Mr Jones bought
= 1/5 * 6 2/7
= 44 / 35
= 1 9/35
= 1.257
The amount left is calculated by subtraction
= 6 2/7 - 1 9/35
= 176 / 35
= 5 1/35
Learn more about fractions:
https://brainly.com/question/29402981
#SPJ1
Given the following piecewise function,
The value of f(0) is f(0) = 3 and the value of f(-4) is f(-4) = 1
Determining the value of a functionFrom the question, we are to determine the value of the given functions
The functions are
f(0) and f(-4)
First, we will determine the value of f(0)
Since 0 ≥ -2, we will use the function
f(x) = x² + 2x + 3
Thus,
f(0) = (0)² + 2(0) + 3
f(0) = 0 + 0 + 3
f(0) = 3
Now, we will determine the value of f(-4)
Since -4 < -2, we will use the function
f(x) = x + 5
Thus,
f(-4) = -4 + 5
f(-4) = 1
Hence, f(0) = 3 and f(-4) = 1
Learn more on Determining the value of a function here: https://brainly.com/question/14379796
#SPJ1
First Ave.
70°
300 ft
Main St.
Canal St.
Part A:
What is the distance, in feet, on Main Street between First Avenue and Canal Street? Round your answer to the nearest hundredth.
The distance, in feet, on Main Street between First Avenue and Canal Street, using relations in a right triangle, is of:
319.25 ft.
How to obtain the distance?The situation is represented by a right triangle, hence the three trigonometric measures are defined as follows:
Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Sine of angle = length of opposite side divided by the length of the opposite side.From the image given at the end of the answer, the parameters are given as follows:
Missing Information: Hypotenuse.The side length opposite to the angle of 70º is of 300 ft.Hence the distance of the Main Street is found using the sine of the angle of 70º, as follows:
sin(70º) = 300/x
x = 300/sin(70º)
x = 319.25 ft.
Missing InformationThe right triangle is given by the image shown at the end of the answer.
More can be learned about the relations in a right triangle at https://brainly.com/question/16437014
#SPJ1
help I need my grade raised
When contructing 95% confidence interval for the mean when the parent population i right kewed and the ample ize i mall, the proportion of interval that include the population mean approache
So when parent population is right-skewed and the sample size is small, the percentage of intervals that include population mean is (above, below, equal to) 0.95 when building 95% confidence intervals for said mean.
Explain the term confidence interval?A confidence level of both the CI refers to the likelihood that its confidence interval contains the actual population mean value.
Any confidence level can be used to determine a CI, although 95% is the most typical value.A 95% confidence interval, strictly speaking, means that if we generate a 95% confidence interval each of 100 independent samples, then about 95 of a 100 confidence intervals include the true mean value (μ).Thus, when parent population is right-skewed and the sample size is small, the percentage of intervals that include population mean is (above, below, equal to) 0.95 when building 95% confidence intervals for said mean.
To know more about the confidence interval, here
https://brainly.com/question/14825274
#SPJ4
Evaluate each expression.
Answer:
0.2
Step-by-step explanation:
First part yields 0.008 if you take sqrt((1/25)^3).
Then the cuberoot of 0.008 is 0.2.
Answer:
Look at the attachment! :D
Hope this helps!
Step-by-step explanation:
I NEED HELP PLEASE WITH THIS PROBLEM
Answer:
48
Step-by-step explanation:
the ratio of blue cards to yellow cards can be expressed with
4:3.
the total amount of blue and yellow cards can be interpreted as 4x+3x=7x
then you can find the value of x by dividing 84/7, which is 12
since the value of blue cards is 4x, 4(12) = 48
(4,0)(2-9) simplest radical form
The distance between two points (4, 0) and (2, -9) is √85 units in the simplest radical form.
What is meant by distance between two points?The length of the line segment connecting two points in a plane is defined as the distance between them. The formula for calculating the distance between two points is commonly presented as √(x₂-x₁)²+(y₂-y₁)².
Distances in geometry are usually positive, unless when the points coincide. We consider two points A(a, b) and B to obtain the formula for the distance between two points in the plane (c, d).
The given two points are (4, 0), (2, -9).
Distance between two points is given by,
Distance=√(x₂-x₁)²+(y₂-y₁)²
Where x₁, x₂, y₁, y₂ are the points.
So, the distance between (4, 0) and (2, -9)
=√(2-4)²+(-9-0)²
=√4+81
=√85 units
Therefore, the distance between two points (4, 0) and (2, -9) is √85 units in the simplest radical form.
To know more about radical form, visit:
https://brainly.com/question/27272065
#SPJ1
The perimeter of the rectangle and the triangle shown are the same. Write an equation to represent this situation, and solve for x. Then, find the perimeter of each shape.
An equation to represent this situation is 16x - 5 = 14x + 1. The value of x is equal to 3.
The perimeters of the rectangle and triangle are equal to 43 units.
How to calculate the perimeter of a rectangle?Mathematically, the perimeter of a rectangle can be calculated by using this equation;
P = 2(L + W)
Where:
P represents the perimeter of a rectangle.L represents the length of a rectangle.W represents the width of a rectangle.An equation for the perimeter of this rectangle is given by:
P = 2[(5x - 2) + (3x - 0.5)]
P = 2(8x - 2.5)
P = 16x - 5.
Mathematically, the perimeter of a triangle can be calculated by using this equation:
P = a + b + c
Where:
P is the perimeter of a triangle.a, b, and c are the side length of a triangle.P = (2x + 3) + (2x + 3) + (10x - 5)
P = 14x + 1
Since the perimeter of both geometric figures are the same, we can calculate the value of x as follows:
16x - 5 = 14x + 1
2x = 6
x = 3
For the perimeter of this rectangle, we have:
P = 16x - 5.
P = 16(3) - 5.
P = 43 units.
For the perimeter of this triangle, we have:
P = 14x + 1.
P = 14(3) + 1.
P = 43 units.
Read more on perimeter of a rectangle here: https://brainly.com/question/17360327
#SPJ1
im almost done with this
Answer:
[tex]1\frac{1}{2}[/tex]
Step-by-step explanation:
we multiply the fractions
1/8 x 12/1
12/8
1 4/8
1 1/2
Hopes this helps please mark brainliest
A juice company introduces a new recipe which
contains less sugar. A bottle of juice made using the
new recipe is shown below.
If the bottle of juice now contains 8.19 g of sugar,
how many grams (g) of sugar did it contain before
the new recipe was introduced?
Answer: x = 18
Step-by-step explanation:
1) 100% - 54.5% = 45.5%.
2) 45.5/100 = 0.455.
3) 0.455 * X = 8.19g.
4) x = 8.19/0.455.
5) x = 18.
a vertical cylinder is leaking water at a rate of ft3/sec. if the cylinder has a height of ft and a radius of ft, at what rate is the height of the water changing when the height is ft?
The rate in the height of water changing for the given cylinder is equal to 0.318m/s.
As given in the question,
Change in volume represent the decrease in rate of change of water height in the cylinder in time t
dV/dt = 4m³/sec.
Decrease in volume represent the change in the height of the water
Let 'h' be the height
h = 10m
radius 'r' = 2m
V = πr²h
Rate of change of leaking water only change the height radius remain constant.
⇒V = (3.14)(2²) h
Differentiate both the side with respect to 't' to get the rate of change
dV/dt = (3.14)(4)dh/dt
⇒4 =(3.14)(4)dh/dt
⇒dh/dt = 4/ (3.14)(4)
⇒dh/dt = 0.318 m/s
Therefore, the rate of change of height is equal to 0.318m/s.
The complete question is:
A vertical cylinder is leaking water at a rate of 4m3/sec. If the cylinder has a height of 10m and a radius of 2m, at what rate is the height of the water changing when the height is 3m?
Learn more about height here
brainly.com/question/10726356
#SPJ4
gregory has a coupon for $1 off the purchase of 3 boxes of munchie brand cereal. the store has 5 different varieties of munchie brand cereal. how many ways can gregory choose 3 boxes of cereal?
Gregory has 10 ways to choose 3 boxes of cereal.
What do you mean by purchase?
A corporation or organization uses the purchasing process to buy products or services in order to achieve its objectives. Although many organizations make an effort to establish standards for the purchasing process, procedures can differ significantly between organizations.
According to data in the given question,
We have :
The purchase of 3 boxes and the store has 5 different varieties of munchie brand cereal.
The order in which the boxes of cereal are chosen is not important as Gregory can randomly choose any 3 different varieties. So, this is a combination problem.
Use the combination formula:
[tex]_nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
Putting n=5 (5 different varieties) and r=3 (3 different varieties). So, the number of ways Gregory choose 3 boxes of cereal is:
[tex]_{5}C_3=\dfrac{5!}{3!(5-3)!}=\dfrac{5!}{3!2!}= \frac{5.4.3.2.1}{3.2.1.2.1} _{5}C_3=\dfrac{5\cdot 4}{2\cdot 1}=10[/tex]
Therefore, the required answer is 10 ways.
To learn more about purchasing, visit:
https://brainly.com/question/29484017?referrer=searchResults
#SPJ4
on average, a banana will last 6.5 days from the time it is purchased in the store to the time it is too rotten to eat. is the mean time to spoil greater if the banana is hung from the ceiling? the data show results of an experiment with 15 bananas that are hung from the ceiling. assume that that distribution of the population is normal.
No, the mean time to spoil is not necessarily greater if the banana is hung from the ceiling.
This can only be determined by analyzing the data from the experiment with 15 bananas. If the sample mean is greater than 6.5 days, then the mean time to spoil is greater when the banana is hung from the ceiling. If the sample mean is less than or equal to 6.5 days, then the mean time to spoil is not necessarily greater when the banana is hung from the ceiling.
Learn more about mean here
https://brainly.com/question/15323584
#SPJ4
In the diagram below, mZCIH = 100° and mZBGD = 42°. Find m/FHG.
Step
1
2
try
Angle
m/CIH 100°
m/BGD = 42°
mz
B.
42% G
Select a Reason
Reason
Given
Given
F
H
E
100°
A
C
A triangle is a plane figure that consists of three sides and three internal angles. Thus m<FHG is [tex]122^{o}[/tex].
How to illustrate the triangleA triangle is a family of polygon which is bounded by three straight sides, thus forming three internal angles. The sum of the internal angles of a trigon is [tex]180^{o}[/tex]. While exterior angles are angles which are outside the edges of a triangle.
From the given question;<IGH = <BGD = 42° (vertically opposite angles)<HIG = 180 - <CIH = 180 - 100<GIH = [tex]80^{o}[/tex]
Thus, we can conclude that;<IGH + <GIH + <GHI = [tex]180^{o}[/tex]42 + 80 + <GHI = [tex]180^{o}[/tex]<GHI = [tex]180^{o}[/tex] - 122 = 58<GHI = [tex]58^{o}[/tex]So that;m<FHG
= [tex]180^{o}[/tex] - M<GHI = [tex]180^{o}[/tex] - 58
= [tex]122^{o}[/tex]m<FHG
= [tex]122^{o}[/tex]
Learn more about the exterior angle of a triangle at https://brainly.com/question/21481521
#SPJ1
a standard deck of cards consists of four suits (clubs, diamonds, hearts, and spades), with each suit containing 1313 cards (ace, two through ten, jack, queen, and king) for a total of 5252 cards in all. 1) how many cards in the deck are either a jack or a heart?
The number of cards in the deck are either a jack or a heart are 17.
What is card deck?
A playing card is a specially made piece of card stock, heavy paper, thin cardboard, paper coated with plastic, cotton-paper blend, or thin plastic that is imprinted with distinctive motifs. To make handling easier, each card frequently has a finish on the front and back.
Given:
A standard deck of cards consists of four suits (clubs, diamonds, hearts, and spades), with each suit containing 13 cards (ace, two through ten, jack, queen, and king) for a total of 52 cards in all.
We have to find the number of cards in the deck are either a jack or a heart.
Since, there are four Jack in a 52 card deck.
So, one jack can be chosen by 4C1 ways.
Also there are 13 cards of hearts in a 52 card deck.
So, one heart can be chosen by 13C1 ways.
The number of ways = 4C1 + 13C1 = 4 + 13 = 17.
Hence, the number of cards in the deck are either a jack or a heart are 17.
To know more about card deck, click on the link
https://brainly.com/question/10559888
#SPJ4
Write the point-slope form of the equation of the line that goes through the points (-5, -5) and (1, -3).
[tex](\stackrel{x_1}{-5}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{(-5)}}} \implies \cfrac{-3 +5}{1 +5} \implies \cfrac{ 2 }{ 6 } \implies \cfrac{1 }{ 3 }[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{ \cfrac{1 }{ 3 }}(x-\stackrel{x_1}{(-5)}) \implies y +5 = \cfrac{1 }{ 3 } ( x +5)[/tex]
a car is driving at 100 kilometers per hour. how far, in meters, does it travel in 2 seconds? meters
A car travels 500/3 meters in 2 seconds.
What is speed?
The speed at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Given that it just has a direction and no magnitude, speed is a scalar number.
Here, we have
Speed of car = 100 KM/ hour
1 km= 1000m
1 hour = 3600 seconds
Let's find the speed of the car in Meters/second
Speed of car in m/sec = 100*1000 m/3600 second
Here we have taken 1000 for km and 3600 for an hour
Speed of car in m/sec = 100*1000 m/3600 second = 500/18 m/second
Speed of car in m/sec = 250/9 m per sec
We know that
Distance = speed*time
Speed = 250/9 m per sec
Time = 2 second
Distance = 250/9 * 2 meters = 500/3 meters
Hence, a car travels 500/3 meters in 2 seconds.
To learn more about the speed from the given link
https://brainly.com/question/24739297
#SPJ4
Jenny says the when you multiply any whole number by a fraction, the product is always less than the whole number. Do agree with Jenny Why or Why not? if no, provide an example
Answer: When multiplying a whole number by a PROPER fraction (always less then 1), the product is always less than a whole number. So yes, i agree with jenny when using proper fractions.
Solve for each variable. Show your work and explain in paragraph form how you solved each problem.
Base Angles Theorem
Converse to Base Angles Theorem
Corollary
Converse to the corollary
Sum of Interior Angles
Exterior angles
Answer:
can u see when i do this????
Step-by-step explanation:
a population of protozoa develops with a constant relative growth rate of 0.6685 per member per day. on day zero the population consists of two members. find the population size after seven days. (round your answer to the nearest whole number.)
When the population of a protozoa develops with a constant relative growth rate of 0.6685 per member per day, and there are two members on the day zero, the population after will consist of 7 at the end of seven days period.
The total population of the protozoa at the end of the seven days can be computed using the calculations given below,
Total Population = Growth Rate x Number of Days + Day zero Population
Total Population = (0.6685 x 7) + 2
Total Population = 6.667, or ~ 7.
Therefore, there will be 7 protozoa at the end of seven days.
Learn more about growth rate here:
https://brainly.com/question/14263843
#SPJ4
1 how fast must a ball be rolled along a 70-cm-high table so that when it rolls off the edge it will strike the floor at this same distance (70 cm) from the point directly below the table edge?
A ball must be fast rolled is 185.2cm/sec, according to the question.
What do you mean by distance?
Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.
According to the given question,
We have the given information:
Table height = h = 70cm
Distance = s = 70cm
g = 9.8[tex]ms^{-1}[/tex]
Now, we have to find the time of falling,
[tex]t=\sqrt{\frac{2h}{g} }=0.378c[/tex]
Horizontal velocity,
[tex]v=\frac{s}{t}=\frac{70cm}{0.378s}=185.2cm/s[/tex]
Therefore, the required answer is 185.2cm/sec.
To learn more about distance, visit:
https://brainly.com/question/15256256?referrer=searchResults
#SPJ4
Please help me with this question with solution ??
The measure of the value of [x] is x = √5/2
What is Parallelogram? What is triangle?In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
There are different types of triangles such as -
equilateral triangle , scalene triangle , isosceles triangle etc.
Given is a triangle as shown in the image.
We can write -
sin(30) = x/(√5)
x = √5 sin (30)
x = √5/2
Therefore, the measure of the value of [x] is x = √5/2.
To solve more questions on 2 -D figures, visit the link below-
brainly.com/question/25950519
#SPJ1
a researcher found that a cigarette smoker smokes on average 31 cigarettes a day. she feels that this average is too high. she selected a random sample of 8 smokers and found that the mean number of cigarettes they smoked per day was 28. the sample standard deviation was 2.9. at
At 0.01 significance level the hypothesis is rejected.
Null Hypothesis (H₀): The sample data occurs purely from chance.
Alternative Hypothesis (H₁): The sample data is influenced by some non-random cause.
If the p-value of the hypothesis test is less than some significance level (e.g. α = .01), then we can reject the null hypothesis and conclude that we have sufficient evidence to say that the alternative hypothesis is true.
Given that,
x = 28
s = 2.9
μ = 31
n = 8
α = 0.01
Then, the Null Hypothesis : H₀ = 31
The Alternate Hypothesis : H₁ < 31
The average number of cigeratte smoker per day is less than 31.
Test Statistics:
t = x -μ / s√n
= 28 - 31/ 2.9√8
= -3/ 8.41
= -0.356
Since the p-value of 0.0046 is less than the significance level of 0.01, the auditor rejects the null hypothesis.
Learn more about Null hypothesis:
https://brainly.com/question/28920252
#SPJ4
in a recent poll, 330 people were asked if they liked dogs, and 73% said they did. find the margin of error of this poll, at the 95% confidence level.
The confidence interval for the one-way analysis of variance experiment be, (138.94 , 181.06) and the margin of error of the poll be,
±31.06.
On Subtracting 1 from your sample size, we get
330 – 1 = 229.
On Subtracting confidence level from 1, and then divide by two.
(1 – .95) / 2 = 0.025
Now, df = 229 and α = 0.025
from the table at df = 999 we got 2.262.
Divide your sample standard deviation by the square root of your sample size.
150 / √(330) = 1.37
Now, 2.262 × 1.37 = 31.06
So, the confidence interval be,
(150 - 31.06 , 150 + 31.06) = (138.94 , 181.06)
Hence, the confidence interval for the one-way analysis of variance experiment be, (138.94 , 181.06) and the margin of error of the poll be,
±31.06.
Learn more about Statistics here https://brainly.com/question/27165606
#SPJ4
the speed of a car, measured in miles per hour, was determined 10 times at random. the results are 22, 43, 35, 32, 41, 28, 29, 30, 37, and 43 miles per hour. construct a 95% confidence interval for the mean speed of this vehicle.
28.9641 ≤ x-bar(t) ≤ 39.0359.
Step-by-step explanation:1. Determine the size of the sample (n).Knowing that we have 10 different values of speed, the size of the sample is 10; n=10. Therefore, this sample is considered statistically small because n < 30.
2. Calculate the arithmetic mean of the sample.Arithmetic mean= (Sum of all values) / (Amount of values)
x-bar= (340) / (10)
x-bar= 34.0000.
x-bar= arithmetic mean.
3. Calculate the standard deviation using the formula for samples.We're going to use the Microsoft Excel tool for the standard deviation for samples (check attached image 1).
Standard deviation for samples (s)= 7.0396.
4. Calculate σ(x-bar).Check attached image 2.
σ(x-bar)= 2.2261.
5. Calculate α/2.α is the error that the confidence interval will have. Given a 95% confidence level, we know that the error is 5%; Error= 1 - Confidence.
α/2= 5%/2= 0.05/2= 0.025.
6. Find the absolute t-student value for α/2.You can either use the probability tables or the Microsoft Excel tools to find the inverse of a t-student distribution for this α/2 value (check attached image 3).
In this case we use the t-student distribution instead of the normal distribution because the sample size is small and the standard deviation of the population is unknown.
T-student value= -2.2622
Absolute t value= 2.2622.
7. Calculate the intervals.Check attached image 4 to see the formulas.
Lower limit = (34) - (2.2622*2.2261) = 28.9641
Upper limit = (34) + (2.2622*2.2261) = 39.0359
28.9641 ≤ x-bar(t) ≤ 39.0359
8. Conclude.This result means that the value of speed could be any value between 28.9641 and 39.0359, including, with a 95% confidence level. There's a 5% chance that a newly measured value of speed is outside this interval.
Find the roots of each equation x^2 - 7x + 12 = 0
Answer:
x=3,x=4
Step-by-step explanation:
(x-3)(x-4)=0
x=3, 4
Answer:
x = 3
x = 4
Step-by-step explanation:
"find the roots" means to find the solutions to the equation.
Roots are solutions are zeros are x-intercepts.
You are being asked to solve the equation.
First, factor the quadratic.
x^2 -7x + 12 = 0
(x - 3)(x - 4) = 0
This works because -3 × -4 is 12 and
-3 + -4 is -7
You see the 12 in the equation is the constant and the -7 is the middle term, the x-term in the trinomial.
So we have
(x - 3)(x - 4) = 0
Separate the two factors into two separate tiny, one-step equations.
x - 3 = 0 , x - 4 = 0
Solve.
x = 3 , x = 4
These are the roots (solutions, zeros and x-intercepts)