Answers
When you divide or multiply two negatives, it makes a positive.
Related Questions
when bonding teeth, orthodontists must maintain a dry field. a new bonding adhesive has been developed to eliminate the necessity of a dry field. however, there is concern that the new bonding adhesive is not as strong as the current standard, a composite adhesive. tests on a sample of extracted teeth bonded with the new adhesive resulted in a mean breaking strength (after 24 hours) of mpa and a standard deviation of s mpa. orthodontists want to know if the true mean breaking strength is less than mpa, the mean breaking strength of the
Answers
When we compare the p-value and the significance level is given [tex]\alpha=0.01[/tex], we can see that [tex]p_v < \alpha[/tex], so we can conclude that we have enough evidence to reject the null hypothesis, which is less than 5.7 Mpa at 1% significance.
Given:
[tex]\bar{X}=5.07[/tex] display the sample means = 0.46 represent the standard deviation of the samplen = 10 size of the sample[tex]\mu_o=5.7[/tex] represent the value under consideration[tex]\alpha=0.01[/tex] represent the hypothesis test's significance levelThe statistic would be represented by t. (variable of interest)[tex]p_v[/tex] represent the test's p-value (variable of interest)Identify the null and alternative hypotheses.
We need to test a hypothesis to see if the true mean is less than 5.7 Mpa; the hypothesis system would be:
Null hypothesis: [tex]\mu \geq 5.7[/tex]Alternative hypothesis: [tex]\mu < 5.7[/tex]If the sample size is 30 and we don't know the population deviation, we should use a t-test to compare the actual mean to the reference value, and the statistic is given by:
[tex]t=\frac{X-\mu_0}{\frac{s}{\sqrt{n}}}[/tex] ......(1)The t-test: "Is one of the most common tests for determining whether the mean is (higher, lower, or not equal) to a specified value."
Determine the statistic
We can substitute the following information in formula (1):
[tex]t=\frac{5.07-5.7}{\frac{11.40}{\sqrt{30}}}=-4.33[/tex]P-value:
The first step is to compute the degrees of freedom, which in this case are:
[tex]d f=n-1=10-1=9[/tex]Because this is a one-sided lower-tailed test, the p-value would be:
[tex]p_v=P\left(t_{(9)} < -4.33\right)=0.00095[/tex]Therefore, when we compare the p-value and the significance level given [tex]\alpha=0.01[/tex], we can see that [tex]p_v < \alpha[/tex], so we can conclude that we have enough evidence to reject the null hypothesis, which is less than 5.7 Mpa at 1% significance.
Know more about the null hypothesis here:
https://brainly.com/question/23413408
#SPJ4
The complete question is given below:
When bonding teeth, orthodontists must maintain a dry field. A new bonding adhesive (called "Smartbond") has been developed to eliminate the necessity of a dry field. However, there is concern that the new bonding adhesive is not as strong as the current standard, a composite adhesive. ( Trends in Biomaterials & Artificial Organs, Jan. 2003.) Tests on a sample of 10 extracted teeth bonded with the new adhesive resulted in a mean breaking strength (after 24 hours) of x = 5.07 Mpa and a standard deviation of s = 0.46 Mpa, where Mpa = megapascal, a measure of force per unit area. Orthodontists want to know if the true mean breaking strength of the new bonding adhesive is less than 5.70 Mpa, the mean breaking strength of the composite adhesive. Conduct the appropriate analysis for the orthodontists. Use alpha= 0.01. What is the p-value?
Which ratios are equivalent to 8:12
Answers
Answer:
Step-by-step explanation:
2:3
Answer:
2:3.
Step-by-step explanation:
If you turn 8:12 into a fraction (8/12), then make it simplest form, it would be 2/3.
2/3 as a ratio is 2:3. Therefore, 2:3 is equivalent to 8:12.
Liz is taking guitar lessons and practises every night. Yesterday, she played a total of 40 chords in 8 minutes. Today, she will play chords for 5 minutes.
If she plays at the same rate, how many chords will Liz play today?
Answers
Answer:
25Step-by-step explanation:
number of cords played in 8 minutes= 40number of cords played in 1 minute= 40/8= 5so , the number of cords played in 5 minutes will be = 5 × 5 = 25 chordshope it helps you
Kerry paid $8 for his admission ticket to the fair and bought 14 ride tickets.
He spent a total of $43 on admission and ride tickets. Write and solve an
equation to find the cost of one ride ticket. Put the cost of one ticket in the
answer space.
Answers
Answer: answer is 4 multiplied by eleven minus one is fourty three
Step-by-step explanation:
could 10 to the 0 power =10 ? to show wether it upholds the prpety xm time xn = xm+n
Answers
Answer:
11
Step-by-step explanation:
Answer:
no. 10^0=
Step-by-step explanation:
If you are shopping online, why is it a good idea to pay by credit card?
Answers
Answer: Credit cards are safer to carry than cash and offer stronger fraud protections than debit.
you are leaving for a concert that starts in 5 hours and is 305 miles from your house. what average speed (in miles per hour) would allow you to arrive at the concert on time? miles per hour school starts in 37 minutes and you live 17 miles from school. what average speed (in miles per hour) would allow you to arrive at school on time? miles per hour
Answers
The average speed required to reach the concert in time is 61 miles per hour.
The average speed required to reach school in time is 27.567 miles per hour.
What is the average speed?
The average speed of an object is defined as the total distance travelled by an object in a particular interval of time or average time. Mathematically, average speed = total distance / total time taken. Its SI unit is m/s.
Calculation of the average speed
We are given that a concert starts in 5 hours and is 305 miles away from the house, i.e. time = 5 hours and distance 305 miles
Then the average speed in miles per hour is given by total distance / total time
Average speed = 305 / 5
= 61 miles per hour
Further, the time taken to reach school is 37 minutes which when converted to hours becomes 37 / 60 hour
The distance between school and home is 17 miles
So, the average speed = total distance / total time
= 17 / (37 / 60)
= (17 × 60) / 37
= 27.567 miles per hour
Hence, the average speed required to reach the concert in time is 61 miles per hour.
The average speed required to reach school in time is 27.567 miles per hour.
To learn more about the average speed, visit here:
https://brainly.com/question/18102135
#SPJ4
4. Which of the following is true based on the congruence statement triangle △SUN≈ △FOG
Answers
Based on the congruence statement triangle △SUN ≈ △FOG, the true statement is SU is Congruent to side FO.
Congruence of the triangle:
Two triangles are said to be congruent if one can be placed over the other so that they coincide (fit together). This means that congruent triangles are exact copies of each other and when fitted together the sides and angles which coincide, called corresponding sides and angles, are equal.
For example,
△ABC ≈ △DEF
then,
Side AB corresponds to DE,BC corresponds to EF , and AC corresponds to DF .
Given,
The congruence statement triangle
△SUN ≈ △FOG
Based on the congruence of the triangle rule,
Here the option
SU is Congruent to side FO.
is the correct option.
To know more about Congruence of the triangle here.
https://brainly.com/question/20521780
#SPJ1
Complete the following proof.
Given: y+2 /3=3
Prove: y=7
Proof:
b. Statement: 3(y+2 / 3)=3(3) Reason: ____________
Answers
Using the multiplication and the subtraction property, we can prove that the value of y in the equation given is: 7. (see proof below).
How to Solve an Equation?Given the equation, y + 2/3 = 3, to prove that y = 7, we have to solve the given equation in other to find the value of y which must be equal to 7.
(y + 2)/3 = 3 [given]
3 × (y + 2)/3 = 3 × 3 [multiplication property of equality]
y + 2 = 9
y + 2 - 2 = 9 - 2 [subtraction property of equality]
y = 7
Thus, using the multiplication and the subtraction property, we can prove that the value of y in the equation given is: 7.
Learn more about equation on:
https://brainly.com/question/25678139
#SPJ1
Based on the values in the table below, find the slope and y-intercept to write the equation of the line in the form y=mx+by=mx+b.
xx yy
11 1111
22 2222
33 3333
Answers
Answer:
gjj uijh
Step-by-step explanation:
Help please I will give brainliest
Answers
Answer:
Option #1, #4 & #5
Step-by-step explanation:
It's rise over run which is y-axis/intercept (up and down) over x-axis/intercept (left or right).
Hope this helps.
O is between M and P, MO= x^2-3, OP=4x-1 and MP= 8x+1. Find length of each story segment.
MO=
OP=
MP=
Answers
MO=4-3=1
OP=8-1=7
MP=16+1=17
Given:
MO= [tex]x^2-3,[/tex]
OP=[tex]4x-1[/tex]
MP= 8x+1
O is the midpoint of MP so
MO=OP
[tex]x^2-3[/tex]=[tex]4x-1[/tex]
[tex]x^2-4x-4=0[/tex]
[tex]X^2-2x-2x-4=0\\x(x-2)-2(x-2)\\(x-2)(x-2)\\x=2[/tex]
MO=4-3=1
OP=8-1=7
MP=16+1=17
A line segment's midpoint is a point that is halfway between two points. The midpoint is the same distance between the two ends.
This calculator can be used to find the midpoint, the distance between two points, or an endpoint given the midpoint and the other endpoint. Solutions for Midpoint and Endpoint Calculators
Enter two points in the form of numbers, fractions, mixed numbers, or decimals. The midpoint calculator displays the work to be done:
midpoint of two given points
To learn more about Line Segment from the given link:
https://brainly.com/question/25727583
#SPJ9
What is the value of x if e squared 3x+6=8
Answers
Step-by-step explanation:
there is explanation in the answer
Assessment
42. Marco goes on a recreational scuba diving
expedition. What is a possible diving depth for
his expedition?
A0 meters
B40 meters
400 meters
D-40 meters
Answers
Solve the following system of equations graphically. Select the graph that shows the correct solution of the system.
x + y = 2
x = 1
Answers
Answer:
First one
Step-by-step explanation:
rearrange x + y = 2 in the form y = mx + c
y = -1x + 2
means gradient is -1 and y-intercept is 2. such line is shown in the first graph
see where x = 1 and draw a straight line. Such line is also only shown in the first graph.
it should be the first graph
Jean makes a 15% commission on any clothing that she sells. Jean sold $50.00 worth of clothes to a customer. How much was her commission?
Answers
Answer:
$7.50
Step-by-step explanation:
15% of $50 is 7.50, so she or he made $7.50 from that piece of clothing
Evaluate ab 0.5b when a = 1 and b = 5.
Answers
Answer:
Step-by-step explanation:
Calculate the formula weights.
mass of
1
mole of
a
b
⋅
(
0.5
b
)
=
0
g
payton wants to buy kiwi and cherries to make a fruit tart. Kiwi cost $2.25 per pound and cherries cost $4.25 per pound. How many pounds of fruit does she buy if she buys 3 pounds of kiwi and 1.5 pounds of cherries? How many pounds of fruit does she buy if she buys xx pounds of kiwi and yy pounds of cherries?
Answers
If Payton buys 3 pounds of Kiwi and 1.5 pounds of cherries, then the pounds of fruit Payton bought at 4.5 pounds.
If Payton buys x pounds of Kiwi and y pounds of cherries, the number of pounds of fruit purchased is x + y.
How much fruit did Payton buy?Payton bought 3 pounds of kiwi and 1.5 pounds of cherries. The total fruits bought is therefore:
= 3 + 1.5
= 4.5 pounds of fruit
If Payton bought x pounds of kiwi and y pounds of cherries, again the total pounds purchased is:
= x + y
Find out more on total purchases at https://brainly.com/question/28613294
#SPJ1
Use the equation below to answer correctly fill in the blanks.
y = 3x + 2
Since linear lines are represented by the equation y = mx + b, I know that the slope (m) is
. The b value is
. This means the line is
3 to each figure when the starting value is
.
Answers
Answer:
this is sure confusing to me
25 points plus brainliest
Answers
Answer:
3
Step-by-step explanation:
The slopes of two perpendicular lines are negative reciprocals of each other
so negative reciprocal of -1/3 is 3
Drag each label to the correct location on the image.
Find the sum of each pair of rational numbers. plelz help
Answers
The addition of the given fractions are;
1) -3³/₅ + -1¹/₅
= -4⁴/₅
2) (-3.5) + (-4)
= -7.5
3) 4.5 + (-3)
= 1.5
4) -5³/₅ + 3¹/₅
= - 2²/₅
How to add fractions?
1) We want to add the fractions as follows;
-3³/₅ + -1¹/₅
= -3³/₅ - 1¹/₅
= -18/5 - 6/5
= -24/5
= -4⁴/₅
2) (-3.5) + (-4)
= -3.5 - 4
= -7.5
3) 4.5 + (-3)
= 4.5 - 3
= 1.5
4) -5³/₅ + 3¹/₅
= -28/5 + 16/5
= - 2²/₅
Read more about Addition of fractions at; https://brainly.com/question/11562149
#SPJ1
differences between two samples are more likely to be statistically significant if the samples are and the standard deviations of the samples are .
Answers
The differences between two samples are more likely to be statistically significant if the samples are and the standard deviations of the samples are: large and the standard deviations of the samples are small.
What is statistical significance?Statistical significance can be used to determine whether a result is more likely the consequence of chance or an important element.Significant results simply imply that you can be sure they are true rather than that you were fortunate (or unfortunate) in the sample you used.Now,
It can be presumed that the test mentioned is the t-test since it uses two samples. A t-t-value, test's which it generates, is what determines its statistical significance. The likelihood that a difference is statistically significant increases with increasing t-value. By dividing the mean difference between two samples by the square root of the sum of the variances of each sample, then by the size of each sample, one may determine the t-value.The likelihood that the difference between two means is statistically significant therefore increases if:a significant mean difference;the samples are substantial;The samples' standard deviations are lower.Hence, The differences between two samples are more likely to be statistically significant if the samples are and the standard deviations of the samples are: large and the standard deviations of the samples are small.
To learn more about statistical significance, refer to the link: brainly.com/question/15848236
#SPJ4
Solve the system by substitution or elimination
y= 2x + 8
y= 3x - 1
Answers
Answer: x=9, y=26 (9,26)
Geologic time is divided into units based upon evidence from
Answers
Answer:
Fossils
Step-by-step explanation:
Hope this helps.
DOGS On average, a male bulldog weighs 15 pounds less than a male
golden retriever. If the average male bulldog weighs 50 pounds, write
and solve an equation to find the average weight of a male golden
retriever.
A. 50= w-15; 65 pounds
B. 50=w+15; 35 pounds
C. 50= w-15; 35 pounds
D. 50=15-w; 65 pounds
Answers
Determine the solutions of the equation:
Absolute value of the quantity one third times x plus 9 end quantity minus 3 equals 21.
x = −11 and x = 5
x = −81 and x = 45
x = −99 and x = 45. <<<< THIS IS IT
x = −99 and x = 99
PLEASE HELP!!!
Answers
The solutions to the absolute value equation given by the word phrase; Absolute value of the quantity one third times x plus 9 end quantity minus 3 equals 21 are; x = −99 and x = 45.
What are the solutions of the absolute value equation as given in the task content?It follows from the task content that the solutions to the absolute value equations as given by the word phrase are to be determined.
Given;
| (1/3)x + 9 | - 3 = 21
Add 3 to both sides;
| (1/3)x + 9 | = 24
Hence, the result equations are; (1/3)x + 9 = 24 OR (1/3)x + 9 = -24.
Therefore, we have;
(1/3)x + 9 = 24
(1/3)x = 24 - 9
(1/3)x = 15
x = 45.
Also, considering the other equation;
(1/3)x + 9 = -24
Subtract 3 from both sides;
(1/3)x = -33
Multiply both sides by 3;
x = -99.
Ultimately, the solutions of the equation are;
x = −99 and x = 45.
Therefore, the solutions to the absolute value equation given by the word phrase; Absolute value of the quantity one third times x plus 9 end quantity minus 3 equals 21 are; x = −99 and x = 45.
Read more on solutions of absolute value equations;
https://brainly.com/question/27586979
#SPJ1
3x, 4x-2 solve for x
Answers
Answer: x=2
Step-by-step explanation:
3x=4x-2
3x-4x=4x-4x-2
-x=-2
x=2
find a vector a with representation given by the directed line segment ab−→−, where a(−6,0,1) and b(1,6,−2) .
Answers
vector representation of the given vectors will be AB(5,6,-3).
What is vector, explain by giving example?A quantity or phenomena with independent qualities for both size and direction is called a vector. The word can also refer to a quantity's mathematical or geometrical representation. Velocity, momentum, force, electromagnetic fields, and weight are a few examples of vectors in nature.
The vector representation will be -
A(x1,x2,x3), B(x1,x2,x3) so, AB will be - (x2 - x1, y2 - y1, z2 - z1)
So, given,
A(−6,0,1)
B(1,6,−2)
AB(1+6, 6-0, -2-1)
AB (5,6,-3)
To learn more about vector representation from given link
https://brainly.com/question/14409307
#SPJ4
what is the approximate side length of a square game board with an area of 162 in^2?
Answers
Answer:
area is side multiplied by side
Step-by-step explanation:
162 divided by 2x
Sarah bought a drink for $4 and bought 8 candy bars. She spent a total of 44 dollars. How much did each candy bar cost?
Answers
Answer:here is ur answer
4+8x=20 8x=20-4 8x=16 x=$2.00 for a candy bar
Step-by-step explanation: i really hope this helps pls lmk if i am wrong have a good day/night (: <3
Answer:
One per candy bar: 5$
8 candy bars: 40$
Step-by-step explanation:
Take four dollars away from the drink and you end up with 40$. And, then you'll go and divide 40 divided by 8 equals 5. So, per 1 candy bar is 5$.