Answer:
800
Step-by-step explanation:
The slope is the co-efficient of x. The y-intercept is the constant. Hope this helps!
simplify the expression
180 - (68 + a)
Answer:
112-a
Step-by-step explanation:
subtract the numbers
Answer:
112-a
Step-by-step explanation:
180-68-a
=112-a
find the 20th term of the A.p 3,6,9
Answer:
60
Step-by-step explanation:
1=3
2=6
3=9
The relation is Y=3X
Y20 = 3X20=60
7. A herd of 100 caribou was moved to a
new location. The population increased
by 10% the first year and then increased
by 20% the second year.
a) Find the population after the second
year.
b) Explain why there was not a 30%
increase in population over the two years.
Answer:
The population would probably be 40%
Step-by-step explanation:
10 x 2 = 20
20 x 2 = 40
So, instead of increasing by 10% every year, the population from the previous year just doubles. Sorry if I'm wrong!
Determine the interest paid on an investment of $2700 for 3years at a rate of 7.5% per annum compound interest
Step-by-step explanation:
hope you have understood.
use tukey’s procedure on the data in example 10.3 to identify differences in true average bond strengths among the five protocols
Tukey's procedure, also known as the Tukey-Kramer test, a statistical method used to compare multiple groups and identify significant differences in their means. Tukey's procedure is used to identify differences in the true average bond strengths among the five protocols in Example 10.3.
Tukey's procedure, also known as the Tukey-Kramer test, a statistical method used to compare multiple groups and identify significant differences in their means. In this case, we are applying Tukey's procedure to the data in Example 10.3, which consists of bond strengths measured under five different protocols.
To perform Tukey's procedure, we first calculate the mean bond strength for each protocol. Next, we compute the standard error of the mean for each protocol. Then, we calculate the Tukey's test statistic for pairwise comparisons between the protocols. The test statistic takes into account the means, standard errors, and sample sizes of the groups.
By comparing the Tukey's test statistic to the critical value from the studentized range distribution, we can determine if there are statistically significant differences in the true average bond strengths among the protocols. If the test statistic exceeds the critical value, it indicates that there is a significant difference between the means of the compared protocols.
Using Tukey's procedure on the data in Example 10.3 will allow us to identify which pairs of protocols have significantly different average bond strengths and provide insights into the relative performance of the protocols in terms of bond strength.
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Maricopa's Success scholarship fund receives a gift of $ 75000. The money is invested in stocks, bonds, and CDs. CDs pay 3.75 % interest, bonds pay 3.8 % interest, and stocks pay 10.3 % interest. Maricopa Success invests $ 25000 more in bonds than in CDs. If the annual income from the investments is $ 4142.5 , how much was invested in each account?
$____ in stocks, $____ in bonds, and $____ in CDs.
Answer: Maricopa Success invested $13,350 in CDs, $38,350 in bonds, and $23,300 in stocks.
Step-by-step explanation:
Let x be the amount invested in CDs.
Then, the amount invested in bonds would be (x + $25,000) and the amount invested in stocks would be ($75,000 - x - (x + $25,000)) = ($50,000 - 2x).
The annual income from the investments is $4,142.5, so we can set up the following equation:
0.0375x + 0.038(x + $25,000) + 0.103($50,000 - 2x) = $4,142.5
Simplifying the equation, we get:
0.0755x + $5,150 = $4,142.5
0.0755x = -$1,007.5
x = -$1,007.5 / 0.0755
x = $13,350
Therefore, the amount invested in CDs is $13,350.
The amount invested in bonds is $13,350 + $25,000 = $38,350.
The amount invested in stocks is $75,000 - $13,350 - $38,350 = $23,300.
So, Maricopa Success invested $13,350 in CDs, $38,350 in bonds, and $23,300 in stocks.
15. The ticket price for a concert in a historic music hall cost $11.20 for the concert with a program and a
hall restoration fee of d dollars. The price for 11 tickets comes to $128.15. What equation could
represent this situation? What is the cost of the hall restoration fee?
Which of the following Latin squares is balanced for residual effects? Here, row= time period, column= subject, and A, B, C, D denote treatments. Latin Square 1 Time 1 ACBD Time 2 DAC B Time 3 C B D A Time 4 B D AC Latin Square 2 Time 1 B D A С Time 2 DBC A Time 3 CA D B Time 4 AC BD
The Latin square that is balanced for residual effects is Latin Square 1.
To determine whether a Latin square is balanced for residual effects, we need to check if the order effects and carryover effects are equal across all rows and columns.
In Latin Square 1:
Order effects: Each treatment appears once in each row and column. Therefore, there are no order effects.
Carryover effects: Each treatment follows every other treatment once in each row and column. Therefore, there are no carryover effects.
Since there are no order or carryover effects in Latin Square 1, it is balanced for residual effects.
In Latin Square 2:
Order effects: Treatment A appears twice in row 1, while treatment D appears twice in row 2. Therefore, there are order effects.
Carryover effects: Treatment C follows treatment A twice in row 3, but only once in row 2. Therefore, there are carryover effects.
Since there are order and carryover effects in Latin Square 2, it is not balanced for residual effects.
Therefore, the Latin square that is balanced for residual effects is Latin Square 1.
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Ameyalli quiere comprar un cuaderno de dibujo. Investigó el precio en distintas papelerías y obtuvo que el promedio de precios es $45 con una desviación media de $3. ¿Qué significa que la desviación media sea $3?
La diferencia promedio entre el precio en cada tienda y la media es de $ 3
La media de un grupo de datos es el valor promedio de ese grupo de datos.
Mientras que la desviación media nos dice en promedio cuánto se desvían estos valores de la media (que es el medio).
Dado que la media es de $ 45, el precio promedio del cuaderno de bocetos es de $ 45. Además, dado que la desviación media es de $ 3, la diferencia promedio entre el precio en cada tienda y la media es de $ 3.
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5(x-4)+3x-9x=6-(2x+5)+8x
It says to use the distibutive property so what do I do
Answer:
Multiply the numbers inside the parenthesis with the number outside. In the case of the negative, use -1
Step-by-step explanation:
5(x-4)+3x-9x=6-(2x+5)+8x
5(x)- 5(4) +3x-9x=6 -(2x)-(5)+8x
5x-20+3x-9x=6-2x-5+8x
-x-20=6x+1
-x-6x=20+1
-7x=21
-7x/-7=21/-7
x=-3
Maria measured a centipede that was 1 1/12inches long. Jerome measured a centipede that was 11/12 of an inch long. How much longer was Maria's centipede than Jerome?
Answer:
2/12
Step-by-step explanation:
The centipede that Maria measured was 1 1/12 inches long. If you convert this to an improper fraction it is equal to 13/12 inches. Now to find how much longer Maria's centipede was than Jeromes, you just take 11/12 and minus it from 13/12 which is equal to 2/12 of an inch.
Jonas builds a snow fort. He tells his friends it is 0.80.80, point, 8 meters tall inside, but he rounded the height to the nearest tenth.
Answer:
D. 0.77
Step-by-step explanation:
Jonas builds a snow fort. He tells his friends it is 0.8 meters tall inside, but he rounded the height to the nearest tenth. Which could be the height of the snow fort before Jonas rounded it?
Check all options by rounding to the nearest tenth
A. 0.89 m
= 0.9 m
B. 0.74 m
= 0.7 m
C. 0.85
= 0.9 m
D. 0.77
= 0.8 m
Note: Digits 0 - 4 are rounded down while digits 5 - 9 are rounded up
Rounding to the nearest tenth means having one digits after the decimal point
When solving a system of linear equations by substitution, how do you decide which variable to solve for in step 1?.
When solving a system of linear equations by substitution, normally, we want to try to solve for the easiest one to get to or we choose a variable with unit coefficient.
What you mean by a variable?A variable is a quantity that could change depending on the circumstances of an experiment or mathematical problem. Typically, a variable is denoted by a single letter. The general symbols for variables most frequently used are the letters x, y, and z.
What a coefficient means?A constant component of a word as opposed to a variable. a measurement of some property or characteristic using a number (as of a substance, device, or process)
There are many factors, it is all a matter of preference, normally, we want to try to solve for the easiest one to get to
example;
if we have
(x-3)^2+y=9
we would solve for y because it is less tricky or we choose a variable with unit coefficient.
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If m
15 points thanks you :)
Answer:
48
Step-by-step explanation:
check the attached file
in 2012, gallup asked participants if they had exercised more than 30 minutes a day for three days out of the week. suppose that random samples of 100 respondents were selected from both vermont and hawaii. from the survey, vermont had 65.3% who said yes and hawaii had 62.2% who said yes. what is the value of the sample proportion of people from vermont who exercised for at least 30 minutes a day 3 days a week? group of answer choices unknown 0.6375 0.653 0.622
The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week is 0.653.
We have,
Vermont had 65.3% of respondents who said yes to exercising for at least 30 minutes a day, 3 days a week.
To find the sample proportion, you can convert the percentage to a decimal by dividing the percentage by 100.
Step 1:
Convert the percentage to a decimal.
65.3 / 100 = 0.653
Thus,
The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week is 0.653.
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solve this equation please
5X2 - 15 = 5
Answer:
x = 2 or x = -2
Step-by-step explanation:
5x² - 15 = 5
⇌
5x² = 15 + 5
⇌
5x² = 20
⇌
x² = 20/5 = 4
⇌
x² = 2²
⇌
x² - 2² = 0
⇌
(x - 2)(x + 2) = 0
⇌ we use the zero product property
x - 2 = 0 or x + 2 = 0
⇌
x = 2 or x = -2
the expression 3xy+12y-5x+7w has how many terms in polynomial ??
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
There are 4 individual terms in the polynomial:
3xy
12y
-5x
7w
the number $n$ is a multiple of 7. the base 2 representation of $n$ is \[10110101010101abc110.\]compute the ordered triple of digits $(a,b,c)$.
To find the ordered triple of digits $(a,b,c)$ in the base 2 representation of the number $n$, we can analyze the given representation \[10110101010101abc110\]
Since $n$ is a multiple of 7, we need to examine the last three digits of the binary representation to determine if they form a multiple of 7 in base 10. In base 10, the value of each digit is determined by its position, with the rightmost digit being in the ones place, the next digit to the left in the twos place, the next digit in the fours place, and so on, doubling with each position.
To determine if this expression is a multiple of 7, we can check if it is divisible by 7 without a remainder. If it is, then the ordered triple of digits $(a,b,c)$ is the solution. Now, let's analyze the expression $c + 2b + 4a$: Looking at the expression, we can see that $c$ has a coefficient of 1, $b$ has a coefficient of 2, and $a$ has a coefficient of 4. To find the possible values of $(a,b,c)$, we need to find the combinations of $(a,b,c)$ that make the expression divisible by 7. Since $c$ has a coefficient of 1, it can only be either 0 or 7, as these are the only values that are divisible by 7.
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152=8(3a-2) justify each step
Step-by-step explanation:
152 = 8(3a - 2)
152 = 8 × 3a - 8 × 2
152 = 24a - 16
152 + 16 = 24a
168 = 24a
a = 168/24
a = 7
Answer:
-7
Step-by-step explanation:
152=8(3a-2)
8(3a-2)=152
8(3a-2)/8=(152){8)
3a-2=19
3a-2+2=19+2
3a=21
3a/3=21/3
a=-7
Alexander can proofread 3
pages in 10 minutes. If he continues at this rate, how many minutes, m,
will he take to
Answer:
the question is uncompltre
Step-by-step explanation:
Let p represent the statement "Red hots are candy" and let q represent the statement "red is a primary color." Convert the symbols into compound statements. a.) ∼p∧q b.) ∼q→∼p 5.) Let p represent the statement "Dwight is a beet farmer" and let q represent the statement "Michael is the World's Best Boss." Convert each compound statement into symbols. a.) Dwight is a beet farmer or Michael is the World's Best Boss. b.) If Michael is the World's Best Boss, then Dwight is not a beet farmer.
The answer is ,
(a) ∼p∧q can be read as "Red hots are not candy and red is a primary color". ,
(b) ∼q→∼p can be read as "If red is not a primary color, then red hots are not candy". ,
(5.a) p ∨ q can be read as "Dwight is a beet farmer or Michael is the World's Best Boss". ,
(5.b) "If Michael is the World's Best Boss, then Dwight is not a beet farmer" can be represented as q → ∼p.
a.) The symbol ∼ represents the negation of a statement.
So, ∼p means "not p", which can be read as "Red hots are not candy".
The ∧ symbol represents the logical operator for conjunction, which means "and".
Therefore, ∼p∧q can be read as "Red hots are not candy and red is a primary color".
b.) The symbol → represents the conditional statement, which means "if...then".
Therefore, ∼q→∼p can be read as "If red is not a primary color, then red hots are not candy".
5.) a.) The symbol ∨ represents the logical operator for disjunction, which means "or".
So, p ∨ q can be read as "Dwight is a beet farmer or Michael is the World's Best Boss".
b.) The symbol → represents the conditional statement.
Therefore, "If Michael is the World's Best Boss, then Dwight is not a beet farmer" can be represented as q → ∼p.
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A frustum is formed by removing a small square-based pyramid from a similar, larger one, as shown below. Each trapezium-shaped face of the frustum is the same size. Work out the surface area of the frustum. Give any decimal answers to 1 d.p. 17 mm 32 mm 17 mm Not drawn accurately
Help appreciated :)
The surface area of the frustrum, obtained summing the areas of the trapezium-shaped faces, and the square base and top is 2720 mm²
What is a frustrum?A frustrum is the part of a pyramid formed when the top is removed by a plane parallel to the base of the pyramid.
The slant height of the small square-based pyramid, is the same as the slant height of the frustrum. The base of the small pyramid therefore intersects the sides of the large pyramid at the midpoint of the sides, which indicates that the base of the small rectangle is a midsegment of the triangular sides of the square-based pyramid.
The midsegment theorem indicates that the side length of the base of the small pyramid is half the side length of the base of the large square-based pyramid. Therefore;
Length of the base of the smaller pyramid = 32 mm/2 = 16 mm
Height of the trapezium-shaped face = √(17² - ((32 - 16)/2)²) = √(17² - 8²) = 15
Area of the trapezium-shaped face = (16 mm + 32 mm) × 15 mm/2 = 360 mm²
The surface area of the four trapezium-shaped faces = 4 × 360 mm² = 1,440 mm²
The area of the square at the top of the frustrum = 16 mm × 16 mm = 256 mm²
The area of the square base = 32 mm × 32 mm = 1024 mm²
The surface area of the frustrum is therefore;
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Would you use SSS or SAS to prove the triangles congruent? If there is not enough information to prove the triangles by SSS or SAS, write "not enough information". Explain your answer
Answer:
not enough information
Step-by-step explanation:
Would you use SSS or SAS to prove the triangles congruent? If there is not enough information to prove the triangles by SSS or SAS, write "not enough information". Explain your answer
What involves taking calculated risks
Answer:
Calculated risks are risks that we can take even if we fail. Indeed, there are people willing to risk everything, and some even succeed, in doing so, but one has to see the overall picture in mind and only then make a decision
A foreigner bought an article at a discount of 15% and paid Rs.17289 If 13% value added tax (VAT) was levied on it, what was the marked price of the article? Find it.
The marked price of the article is Rs18000
What was the marked price of the article?From the question, we have the following parameters that can be used in our computation:
Discount = 15%
VAT = 13%
Amount paid = Rs 17289
Using the above as a guide, we have the following
Amount paid = Marked price * (1 - discount) * (1 + VAT)
Substitute the known values in the above equation, so, we have the following representation
17289 = Marked price * (1 - 15%) * (1 + 13%)
So, we have
Marked price = 17289/[(1 - 15%) * (1 + 13%)]
Evaluate
Marked price = 18000
HEnce, the price is Rs18000
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A family with 4 adults and 3 children spends 47 for movie tickets at the theater. Another family with 2 adults and 4 children spends 36 . What is the price of a child's ticket in dollars?
Answer:
The price of a child ticket in dollars $8.00
Step-by-step explanation:
determine the intervals on which ������′(������) is positive and negative, assuming that given figure is the graph of ������. consider only the interval [0,6].
the correlation coefficient (r) between the number of miles driven x and the number of gallons of gasoline used y is 0.925. what percent of the variation in the number of gallons of gasoline can be explained by differences in the number of miles driven?
Answer:
less than a mile is the answer
Sailor Shettal
The Midpoint Formula
Aug 04, 1:31:11 PM
?
Find the midpoint of the segment with the following endpoints.
(10,5) and (6,9)
+-
Answer:
Submit Answer
attempt 1 out of 2
PLS HELP ASAP
Answer:
(8,7)
Step-by-step explanation:
To find the x coordinate of the midpoint
Add the x coordinates of the endpoints and divide by 2
(10+6)/2 = 16/2 = 8
To find the y coordinate of the midpoint
Add the y coordinates of the endpoints and divide by 2
(5+9)/2 = 14/2 = 7
The coordinate of the midpoint is (8,7)
The expression: not X and Y
is true if X is false and Y is true
ture of false
TRUE. The expression "not X and Y" is a conjunction of two logical statements, where "not X" is the negation of X, and "Y" is another logical statement.
In general, the truth value of a conjunction is only true when both statements are true. In this case, if X is false (i.e., not true) and Y is true, then "not X" is true and "Y" is also true. Therefore, "not X and Y" is true in this case.
The expression "not X and Y" can be represented using truth tables, which are tables that show the possible combinations of truth values for the logical statements involved, and the resulting truth values of the expression.
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The expression: not X and Y is true if X is false and Y is true? TRUE of FALSE.