Answer:
56 square feet
Step-by-step explanation:
a rectangle has 4 sides, and two of each are the same;
12 is the length
16 is the width
12 + 12 + 16 + 16 = 56
final answer is 56 square feet
hope this helped xx
what property of the median does this illustrate? a. it does not illustrate any property of the median. b. it illustrates the non-resistance of the median. c. it illustrates the resistance of the median. d. it illustrates that the median divides the bottom 50% of the data from the top 50%.
Answer: C. It illustrates the resistance of the median.
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
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.
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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?
10. Jordan wants to buy a pair of shoes that cost $150.99. The
shoes are 35% off, what will be the price of the shoes after the
discount?
Answer:
$98.14
Step-by-step explanation:
150.99 x 0.35. Subtract answer from total to get final price.
What is the value of x if e squared 3x+6=8
Step-by-step explanation:
there is explanation in the answer
PLEASE SHOW WORK
HELP
Answer:
82 + 0.6h = 85 and h = 5
Step-by-step explanation:
hours = h
82 + 0.6h = 85
85 - 82 = 0.6h
3 = 0.6h
3/0.6 = h
h = 5
What is the slope of the line?
Answer: The answer is A) - 9/5, because the slope of the line is decreasing/going downward indicating that the slope is negative. The slope of the line is steep, and so the rise should be more the run.
Step-by-step explanation: hope this helps!!!!!!
could 10 to the 0 power =10 ? to show wether it upholds the prpety xm time xn = xm+n
Answer:
11
Step-by-step explanation:
Answer:
no. 10^0=
Step-by-step explanation:
I need help with this ASAP
Solution : Straight line question : y= 2x-3
Straight Line:
A straight line is just a line with no curves. So, a line that extends to both sides till infinity and has no curves is called a straight line.
Slope:
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
Use the slope and one of the points to solve for the y-intercept (b).
One of your points can replace the x and y, and the slope you just calculated replaces the m of your equation y = mx + b. Then b is the only variable left. Use the tools you know for solving for a variable to solve for b.
Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line
1)Point (3,3) (4,5)
slope: (5-3)/(4-3) = 2/1 = 2
Y= mx+c
y -3 = 2(x-3)
y-3= 2x-6
y= 2x-6+3
y= 2x-3
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10. Circle the irrational number in the list below.
√196
7.27
5/9
√15
58 divided by 5,350 (working out please!)
When we divide 58 by 5,350, the value is 0.108411.
How to compute the value?The information is that we should divide 58 by 5,350.
It should be noted that we cab reduce to the lowrst term before dividing. This will be:
= 58/5350
= 29/2675
Therefore, we can then convert the value to decimal and this will be:
= 29/2675
= 0.108411
The division is 0.108411.
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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?
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
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Type the correct answer In each box. Spell all words correctly, and use numerals Instead of words for numbers. If necessary, use / for the
fraction bar(s).
IS What is the mean of the given distribution, and which type of skew does it exhibit?
(4.5, 3, 1, 2, 4, 3, 6, 4.5, 4, 5, 2, 1, 3, 4, 3, 2}
The mean of the distribution Is
and it exhibits a
skew.
The solution is Mean = 3.25 for the given distribution's mean and its type of skew.
What in mathematics is Mean?A list of values, such as measurements or numbers, is used to calculate it by dividing the total number of values in the list by the total number of values in the list. Add up each value in the set to determine the mean. Next, divide the total by the number of values.
based on the facts provided;
Step 1: Presented data:
4.5, 3, 1, 2, 4, 3, 6, 4.5, 4, 5, 2, 1, 3, 4, 3, 2
Step 2:
Sum of the numbers
= 4.5 + 3 + 1 + 2 + 4 + 3 + 6 + 4.5 + 4 + 5 + 2 + 1 + 3 + 4 + 3 + 2
= 52
Sum of the numbers = 52
Number of terms = 16
Step 3:
Mean=sum of the number/number of term
=52/16
= 3.25
Mean = 3.25
Mean of the distribution is 3.25.
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URGENT!! ILL GIVE BRAINLIEST! 100 POINTS
Answer:
1. l
2. h
3. j
4. k
Step-by-step explanation:
Looks right to me :)
Dylan is making a party favorites for his dylan is making party favors for his birthday party he has 32 pencils and 56 lollipops and he must use all the pencils and lollipops for his birthday favorites if dylan creates the greatest number of identical packages possible how many parties favors can he make how many pencils and lollipops are there in each party package
He can make 8 party package and each package consists 4 pencils and 7 lollipops with 32 pencils and 56 lollipops .
To determine the greatest number of identical packages possible we have to determine the highest common factor of two given no. , 32 and 56
Let's determine the factors of the 32 and 56 ,
32 = 2 × 16 = 2 × 2 × 2 × 2 × 2
56 = 2 × 2 × 2 × 7
So , common factors are 2 , 2 ,2
Now , The HCF is , 2 × 2 × 2 = 8
So , total combination is 8 and in each combination , there is 4 pencils ( 32 / 8 = 4 )and 7 ( 56/8 = 7 ) lollipops .
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A polynomial function g(x) has a positive leading coefficient. Certain values of g(x) are given in the following table.
x –4 –1 0 1 5 8 12
g(x) 0 3 1 2 0 –3 0
If every x-intercept of g(x) is shown in the table and each has a multiplicity of one, what is the end behavior of g(x)?
a
As x→–∞, g(x)→–∞ and as x→∞, g(x)→–∞.
b
As x→–∞, g(x)→ –∞ and as x→∞, g(x)→∞.
c
As x→–∞, g(x)→∞ and as x→∞, g(x)→–∞.
d
As x→–∞, g(x)→∞ and as x→∞, g(x)→∞.
The end behavior of g(x) is;Option A: As x→–∞, g(x)→–∞ and as x→∞, g(x)→–∞.
What is the End behavior of the Polynomial?
The Factor Theorem states that a function with leading coefficient a and zeros x1, x2, x3,....,xn is defined by;
g(x) = a(x - x1)(x - x2).....(x - xn)
In the given table;
f(x) = 0 for x = -4 and 12. Thus, the zeros are x1 = -4 and x2 = 12
Then the definition is;
g(x) = a(x + 4)(x - 12)
g(x) = a(x² - 8x - 48)
The end behavior is the limit of g(x) as x goes to infinity, thus:
limₓ→ ∞ g(x) = limₓ→ ∞ax² = a * ∞
Since the leading coefficient a is negative, then;
a * ∞ = - ∞
Thus, the end behavior of g(x) is; As x→–∞, g(x)→–∞ and as x→∞, g(x)→–∞.
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25 points plus brainliest
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
Marcy has a picture frame that is 18 by 24 inches. If she has another frame congruent to the first one, and
one of its sides is 24 inches long, determine the length of the other side.
Answer:
18
Step-by-step explanation:
Congruent means same size and shape
So if the first one was 18 by 24 and you are given another that is congruent to it and given one side which is 24 so the other has to be 18.
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
Which ratios are equivalent to 8:12
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.
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?
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$. And, then you'll go and divide 40 divided by 8 equals 5. So, per 1 candy bar is 5$.
#3 D
MODELING REAL LIFE You consider buying a phone from one of two cell phone carriers. The table shows the total costs
(in dollars) of the phone and service for different numbers of months at Carrier A. The total cost y (in dollars) of the phone
and x months of service at Carrier B is represented by the equation y = 55x + 300. Which carrier has the lower initial fee?
Answer:
Step-by-step explanation:
The carrier that has the lower initial fee is carrier B
How to determine which carrier has the lower initial fee?For carrier B, we have the following equation
y = 55x + 300
Set x = 0 to determine the initial fee
y = 55 x 0 + 300
Evaluate
y = 300 ---- the initial fee of carrier B
For carrier A, we have the following points on the table
(x, y) = (3, 500), (6, 650)
The slope of the points is calculated using
m = (y2 - y1)/(x2 - x1)
This gives
m = (650 - 500)/(6 - 3)
Evaluate
m = 50
Let the initial fee of carrier B y
So, we have the following points
(x, y) = (0, y), (6, 650)
The slope of the points is calculated using
m = (y2 - y1)/(x2 - x1)
This gives
m = (650 - y)/(6 - 0)
Evaluate
m = (650 - y)/6
Substitute m = 50 in m = (650 - y)/6
50 = (650 - y)/6
This gives
300 = 650 - y
Solve for y
y = 350
So, we have:
y = 300 ---- the initial fee of carrier B
y = 350 ---- the initial fee of carrier A
300 is less than 350
Hence, the carrier that has the lower initial fee is carrier B
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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?
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
Which of these tables represents a function? A table has values of X and Y. Row 2: X negative 1 and Y 15. Row 3: X negative 2 and Y 6. Row 4: X 0 and Y 15. Row 5: X 4 and Y 6. W. A table has values of X and Y. Row 2: X 0 and Y 4. Row 3: X 6 and Y 15. Row 4: X 0 and Y 6. Row 5: X negative 2 and Y negative 1. X. A table has values of X and Y. Row 2: X 4 and Y 0. Row 3: X negative 1 and Y negative 2. Row 4: X 6 and Y negative 2. Row 5: X 6 and Y 15. Y. A table has values of X and Y. Row 2: X 6 and Y negative 2. Row 3: X 4 and Y 0. Row 4: X 15 and Y negative 1. Row 5: X 4 and Y 3. Z. A. W B. X C. Y D. Z
Answer:
A. E negitive
Step-by-step explanation:
Answer: x is alys a step behind y so you can make ech difrints by moltapling to ech step
Step-by-step explanation:
solve the inequality -5x - 7 less than 28
Step-by-step explanation:
Determine the area of square 1
Answer:
x > - 7
Step-by-step explanation:
- 5x - 7 < 28 ( add 7 to both sides )
- 5x < 35
divide both sides by - 5 , reversing the symbol as a result of dividing by a negative quantity.
x > - 7
what is the approximate side length of a square game board with an area of 162 in^2?
Answer:
area is side multiplied by side
Step-by-step explanation:
162 divided by 2x
simplify
-3m+7-2n+3-m+3m
f. 4mn + 10
g -4m + n + 10
h -4m - n + 10
j -40mn
The simplified form of the expression is -m-2n+10
Simplifying linear equationLinear equation are equation that has a linear degree of 1. Given the following expression
-3m+7-2n+3-m+3m
Collect the like terms
-3m+3m-m-2n+7+3
-m - 2n + 7 + 3
Simplify to finally have:
-m-2n+10
Hence the simplified form of the expression is -m-2n+10
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Find the coordinates of Q if R(6,-1) is the midpoint of QS, and S has coordinates (12, 4).
The coordinates of Q will be (0, -6) if R(6, -1) is the midpoint of QS.
Let the coordiantes of point Q be (x, y).
According to the given question.
R is the midpoint of QS.
The coordinates of point R is (6, -1).
And the coordinates of point S is (12, 4).
Thereofore, the coordiantes of point Q is given by
(6, -1) = ( (x + 12)/2, (y + 4)/2 )
⇒ x + 12/2 = 6 and y + 4/2 = -1
⇒ x + 12 = 12 and y + 4 = -2
⇒ x = 0 and y = -6
Hence, the coordinates of Q will be (0, -6) if R(6, -1) is the midpoint of QS.
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if C = 5/9(f-32)find the value of f when c=30
The answer for this equation would be f = 86
1, .25 blank , -1.25, blank complete each arithmetic sequence
The complete arithmetic sequence is 1, .25, -0.5, -1.25, -2
How to complete the arithmetic sequence?The arithmetic sequence is given as:
1, .25, blank, -1.25, blank
Replace the blanks in the arithmetic sequence with x and y
So, we have:
1, .25, x, -1.25, y
An arithmetic sequence has a common difference (d)
The common difference is calculated using
d = T2 - T1
So, we have
d = 0.25 - 1
d = x - 0.25
d = y + 1.25
Substitute d = x - 0.25 in d = 0.25 - 1
x - 0.25 = 0.25 - 1
This gives
x = 0.25 + 0.25 - 1
Evaluate the sum
x = -0.5
Substitute d = 0.25 - 1 in d = y + 1.25
0.25 - 1 = y + 1.25
This gives
y = 0.25 - 1 - 1.25
Evaluate
y = -2
Hence, the complete arithmetic sequence is 1, .25, -0.5, -1.25, -2
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If you are shopping online, why is it a good idea to pay by credit card?
Answer: Credit cards are safer to carry than cash and offer stronger fraud protections than debit.