Q5. Convert 7000 yards into kilometres. Given that 1km = 1093.6 yards
1)6km
2)O 62km
3)7.3km
4)O 6.4km
Answer:
4. 6.4km
Step-by-step explanation:
I hope this helps ^-^
A study of color in tiger beetles is conducted to gain evidence to support the contention that the proportion of yellow beetles may vary from locality to locality. A sample of 500 beetles caught in one season near East Setuket, NY, yielded 92 yellow ones. A catch of 251 from Queens, NY, contained 14 yellow individuals. What distribution can be used to derive the exact sampling distribution for proportion of yellow tiger beetles
Answer:
Binomial distribution
Step-by-step explanation:
Each tiger:
For each tiger, there are only two possible possible outcomes. Either it is yellow, or it is not. The probability of a tiger being yellow is independent of any other tiger. This means that the binomial probability distribution is used to solve this question.
I'll give brainliest
Answer: y = 10/7 x= 26/7 so A (26/7 , 10/7)
Step-by-step explanation:
since an equation for x is already given, we can plug it in to the first equation to solve for y
3(4y-2) + 2y = 14
12y - 6 +2y = 14
14y -6 = 14
14y = 20
y = 20/14
simplify
y = 10/7
plug the y we just found into the equation for x to find the value of x
x = 4(10/7) -2
x= 40/7 - 2
make both fractions
x = 40/7 -14/7
x= 26/7
hope this helps!
Simplify each of the following and write the answers in the form a +bi
The solution to the complex number expressions are;
1) 11 - 2i
2) 17 + 19i
How to simplify Complex Numbers?A complex number is defined as the sum of a real number and an imaginary number. A complex number is usually of the form a + ib and is usually represented by z. Let us solve the question;
1. (13 − √−25) + (−2 + √−9)
Expand the bracket to get;
13- √−25 - 2 + √−9
The negative of a root in complex number is expressed as "i". Thus;
√−25 = 5i and √−9 = 3i
Therefore;
13 - √−25 - 2 + √−9 = 11 - 5i + 3i
= 11 - 2i
2. (1 + 7i)(3 - 2i)
Expand the bracket to get;
= 3 -2i + 21i - 14i²
= 3 + 19i - (14)(-1)
= 3 + 19i + 14
= 17 + 19i
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Complete Question is;
Simplify each of the following and write the answers in the form a +bi
1. (13 − √−25) + (−2 + √−9)
2.(1+7i)(3-2i)
Bound
Figure 2.
Jenny would like to buy a new air conditioner for his home. As seen in Figure 2 above he has
3 types of brands that he can consider. The cash price for Daewoo is RM1,899, Daikin at a
price of RM1,699 and last choice is Mitsubishi at a price of RM1.999. He plans to make 18
monthly instalments, if he pays RM300 as a down payment for the air conditioner that he would
like to buy, find the interest charge for each brand if the interest rate is 4% based on originall
balance if he chooses to buy from Daikin, find the monthly instalment price and instalment
price that he needs to pay.
if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).
How to determine the monthly instalment price and instalment price that Daikin needs to pay.Calculating the loan amount for each brand by subtracting the down payment from the cash price:
Loan amount for Daewoo = RM1,899 - RM300 = RM1,599
Loan amount for Daikin = RM1,699 - RM300 = RM1,399
Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699
Calculating the interest charge for each brand:
Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96
Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96
Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96
To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:
Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22
Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89
Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72
Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).
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I can’t seem to figure it out
The dimensions of the circles are as follows
1. Chord AB = 9
2. Chord FG = 6
3. Chord KM = 8
4. Arc length XY = 105 degrees
5. Arc length TU = 85 degrees
6. Arc length TU = 130 degrees
7. QS is the diameter because it bisects the chord and perpendicular to the chord
8. QS is not a diameter because it does not bisect the chord
9. QS is not a diameter because it is not perpendicular the chord
What is the relationship between chord and intercepted arcChords with matching measurements share congruence due to being equidistant from the circle's center.
Congruent radii stem from each chord midpoint, indicating two equivalent right triangles are created; therefore, their respective intercepted arcs also equal in degree measurement.
Therefore, if two chords possess uniform lengths, they will intercept equal degrees along the circle.
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4. Van's Deli sells hot dogs for $2 and hamburgers for $5. His daily sales goal is $200.
Answer:
the deli would have to sell 100 hot dogs or 40 burgers
Step-by-step explanation:
Fully simplify using only positive exponents.
\frac{5x^6y^6}{125x^5y^3}
125x
5
y
3
5x
6
y
6
Answer:
\(\frac{xy^{3}}{25}\)
Step-by-step explanation:
Given
\(\frac{5x^6y^6}{125x^5y^3}\)
Required
Simplify the given expression
\(\frac{5x^6y^6}{125x^5y^3}\)
Start by applying law of indices
\(\frac{5x^{6-5}y^{6-3}}{125}\)
\(\frac{5xy^{3}}{125}\)
Divide numerator and denominator by 5
\(\frac{xy^{3}}{25}\)
Hence; the expression is equivalent to \(\frac{xy^{3}}{25}\)
A researcher is testing a hypothesis of a single mean. The critical z value for a = .05 and a two‑tailed test is +1.96. The observed z value from sample data is ‑2.05. The decision made by the researcher based on this information is to _____ the null hypothesis.
Answer:
The decision made by the researcher based on this information is to reject the null hypothesis.
Step-by-step explanation:
Two-tailed hypothesis test:
Critical value: \(z_c\)
Test statistic: z
If \(|z| < |z_c|\), we do not reject the null hypothesis.
If \(|z| > |z_c|\), we reject the null hypothesis.
In this question:
\(z_c = 1.96, z = -2.05, |z| = 2.05\)
Since \(|z| > |z_c|\), we reject the null hypothesis.
The decision made by the researcher based on this information is to reject the null hypothesis.
Ciana earns an hourly wage of $30 at her job. In order to purchase her sneakers she will have to take time off work, so each hour away from her job
costs her $30 in lost Income. Assume that ciana travel time is the same each way (to and from the store) and that it will take her 30 minutes once
she reaches a store to complete her shopping. Assume throughout the question that ciara incurs no additional costs other than the sneakers, such as
gas.
complete the following table by computing the opportunity cost of ciana’s time and the total cost of shopping at each location
Ciana should purchase the skirt at the store across town because the total economic cost will be lowest.
How to determine the opportunity cost?Ciana makes $30 per hour at her work, and her purchase decision includes the opportunity cost of lost wages:
Total economic cost:
Local store = $114 + [1/4 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $144
Across town = $86 + [1/2 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $131
Neighboring city = $60 + [1 hour x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $135
Ciana should buy a skirt at the store across town. Because it has the lowest total economic cost ($131).
Opportunity cost is the lost benefit or additional cost of choosing one activity or investment over another. Economic costs include both accounting costs and opportunity costs.
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if a 133 pound man can have 1032 mg of a medicine in a day, how much can a 121 pound woman have?
Answer: the answer is 1020
Step-by-step explanation: Because lets say 1032-133=899
so if we do 899+121=1020
A producer wishes to determine the equilibrium price and quantity of his good in the market. He estimated the market demand and supply function as follows demand :P=q^2+13/2q+64 and supply: P= 10q^2-45/2q-164
The equilibium price is 163.39 and the supply quantity is 150
He estimated the market demand and supply function as follows demand :P=q²+13/2q+64 and supply: P= 10q²-45/2q-164
We need to find the equilibium price
The equilibrium price (EP) is the price where the demand for a product or service balances its supply. .
At equilibium price
Demand function = supply function
q²+13/2q+64 = 10q²-45/2q-164
(10 - 1)q² - (45/2 + 13/2)q - (164 + 64) = 0
9q² - 29q - 228
q = 6.895 = 6.9
The equilibium price = 6.9² + (13/2)6.9 + 64
= 163.36
similarly putting the value of q in supply function we get supply quantity ie 149.95 = 150
Therefore, the equilibium price is 163.39 and the supply quantity is 149.95 = 150
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Pls help me plssssssssssss
They are complementary angles. Equate the given to 180° and then proceed arithmetic operations. I hope it helps.
Which pair shows equivalent expressions?
2x + 10 = -2(x-5)
-2(x+5) = 2x-10
-2x-10 = -2(x+5)
-2(x-5) = -2x-10
Answer:
The 3rd equation, -2x-10 = -2(x+5)
Step-by-step explanation:
Equivalent expressions means both sides of the equal sign equal the same thing
To find which ones are equivalent expressions, we must solve/simplify both sides of each equation to see if they're actually equal to each other
We will use PEMDAS for this
1. 2x + 10 = -2(x - 5)
Start with Parentheses, and distribute the -2 to what's inside said parentheses
2x + 10 = -2x + 10
Not equal
2. -2(x+5) = 2x-10
Once again, start with Parentheses, and distribute the -2 to what's inside said parentheses
-2x - 10 = 2x - 10
Not equal
3. -2x-10 = -2(x+5)
Once again, start with Parentheses, and distribute the -2 to what's inside said parentheses
-2x - 10 = -2x - 10
Equal
4. -2(x-5) = -2x-10
Once again, start with Parentheses, and distribute the -2 to what's inside said parentheses
-2x + 10 = -2x - 10
Not equal
Question 6 What is the perimeter of the figure shown below, which is not drawn to scale? help
Answer:
C
Step-by-step explanation:
the perimeter means to go along all 4 sides and sum up the distance.
so, we have
x + 12 + x + 12 + 2x + 2x
we combine all similar terms (the ones with a variable and the constants without a variable)
x + x + 2x + 2x + 12 + 12 = 6x + 24
why do you think the sum of x + x + 2x + 2x is 4x ?
and 12 + 12 is 28 ?
do you need any further explanation, or is this now clear ?
how do you Evaluate. 58−(14)2= ________
Answer:
58-(14)2
58-28
30
Step-by-step explanation:
If you put two straight angles together, you get an angle that is 360°. You can think of this
angle as turning all the way around so that you are facing the same direction as when you
started the turn.
380
Answer:
what is your question?
Step-by-step explanation:
1. The most useful statistical instrument to be used with big number of
respondents is______
2._______
is being carried out through personally asking questions to
knowledgeable people about the data needed.
3. The question "Do you prefer answering Self Learning Modules (SLM) than
workbooks?" is an example of________
4. The changes in characteristics, behavior and__________
of the people
observed are the focus of observation.
5.________
is a type of question that allows someone to give a free-form
answer.
The answer to all parts is shown below.
1. The most useful statistical instrument to be used with a big number of respondents is a survey questionnaire.
This allows researchers to collect data from a large sample size efficiently and in a standardized manner, ensuring that all respondents are asked the same questions in the same order. Online surveys are particularly useful as they can reach a wider audience and allow for easy data analysis.
2. The process you are referring to is called "expert interviews".
3. This is an example of a survey question that measures a respondent's preference.
4. The changes in characteristics, behavior, and attitudes of the people observed are the focus of observation.
5. Open-ended question.
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In a city election, two people ran against each other to be the next mayor. Candidate 1 received 24,000votes and candidate 2 received 80,000
.
Answer:
What is the question You are just stateing facts?
Step-by-step explanation:
In \triangle QRS,△QRS, \overline{SQ}\cong \overline{RS} SQ ≅ RS and \text{m}\angle R = 21^{\circ}.m∠R=21 ∘ . Find \text{m}\angle Q.m∠Q
The measure of ∠Q is equivalent to 21°.
What are congruent triangles?Congruent triangles have both the same shape and the same size.
Given is that in △QRS, SQ ≅ RS and m ∠R=21°.
Now, it is given that SQ ≅ RS, this means that -
SQ = RS
Angles opposite to equal sides are equal.
∠R = ∠Q = 21°
Therefore, the measure of ∠Q is equivalent to 21°.
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The sale price of every item in a store is 80% of its usual price.
A: The usual price of a backpack is $30, what is its sale price?
B: The usual price of a sweatshirt is $18, what is its sale price?
C: The usual price of a soccer ball is $24.80, what is its sale price?
Order the values from least (on top) to greatest (on bottom).
64%
0.65
5/8
Convert them all into decimals. Percent is just 0.--, and the fraction you can calculate out which gives: 0.625=5/8,0.64=64%
5/8
64%
0.65
please help this is due soon
If a picture measures 3 inches by 5 inches and it is dilated by a scale factor of 4, the new dimensions will be ________________________________________.
A. 12 inches by 20 inches
B. 15 inches by 15 inches
C. 7 inches by 9 inches
D. 0.75 inches by 1.25 inches
Answer:
A) 12 inches by 20 inches
Step-by-step explanation:
Dilation of a scale factor means to increase by a factor of 4.
That basically mean multiply the object by 4.
Therefore 3 inches x 4 = 12 inches
And 5 inches x 4 = 20
If lim f(x)=5 g(x)=0 and h(x)=-2 then find (3h/2f+g)(x)
Answer:
B
Step-by-step explanation:
edg 2021 unit test review
Luisa wants to use place-value blocks to show 367+215. How many tens blocks will she need to show the sum by regrouping?
Answer:
She will need 58 tens blocks but there is a leftover amount of 2 so that would be 2 ones as well.
Step-by-step explanation:
357+215=582/10=58.2 (2 is the remander and thats how I got 2 ones as well)
find the range of the function y = 1/2x + 2 if the domain is {-4, -2, 0}
The range of the function y = 1/2 x + 2 is {0, 1, 2}, if the domain of the function is {-4, -2, 0}.
What is function?An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable.
The given function is,
y = 1/2 x + 2.
Also, the domain of the function is {-4, -2, 0}.
Since, the domain of the functions defines the values of x,
And range defines the value of y in function.
The value of y at x = -4
y = 1/2(-4) + 2 = -2 + 2 = 0
At x = -2,
y = 1/2(-2) + 2 = -1 + 2 = 1
At x= 0,
y = 1/2 (0) + 2 = 2
The values of y are 0, 1 and 2.
Hence, the range of the function is {0, 1, 2}.
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Learning Task 2: Solve each problem using the application of LCM and
GCF
1.) In Art class, Mrs. Lucia had 36 sheets of green paper and 42 sheets of
blue paper. If Mrs. Lucia wanted to give an equal number of each type of
paper, how many sheets of paper should each pupil get?
Answer:
Each pupil get 6 sheet
Step-by-step explanation:
Given:
Number of green sheet = 36
Number of blue sheet = 42
Find:
Common factor
Computation:
36 = 6 x 6
42 = 6 x 7
So, 6 is a common factor
Each pupil get 6 sheet
Each student should get 6 papers
The lowest common multiple is the smallest factor of a set of numbers.
The highest common factor is the biggest factor of a set of numbers.
A multiple of a number is a number that can divide another number without a remainder.
Factors of 36 =1, 2, 3, 4, 6, 9, 12, 18, and 36
Factors of 42 = 1, 2, 3, 6, 7, 14, 21, and 42.
The common factors of both numbers are : 1,2,3,6
Each student should get 6 papers
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Janae is at a carnival. She won 420 tickets. She rides two rides for 75 tickets each and attends a concert for 180 tickets. If she can exchange 10 tickets for one prize, how many prizes can she get with her tickets
Answer:
9 Prizes
Step-by-step explanation:
She begins with 420 tickets.
She goes on 2 rides for 75 tickets each so 420-75-75= 270
She then attends the concert for 180 tickets so 270-180= 90
Now she is left with 90 tickets. 10 tickets = 1 prize therefore you can do 90/10 = 9
9 PRIZES
Brainliest if correct
Answer:
Below
Step-by-step explanation:
a) 2nd one
b) 3rd one
c) 2nd one