a x 10^5 + 2a x 10^4 = 7200000 and a x 10^5 - a x 10^4 = 5400000
Find the value of a
Answers
Answer:
60
Step-by-step explanation:
Looking at case 1.
a * 10^5 + 2a * 10 ^4= 7200000
a * 10 * 10^4 + 2a *10 ^4 =7200000
[10a + 2a] * 10^4= 7200000
12a= 7200000/ 10000
12a= 720
a= 720/12 = 60
Looking at case 2,
a * 10^5 - a * 10^4 = 5400000
a * 10 * 10^4 - a *10^4 = 5400000
10a* 10^ 4 - a * 10^ 4 = 5400000
[10a- a] *10^4 = 5400000
9a = 5400000/10000
9a= 540
a =540/9
a= 60
Related Questions
In manufacturing, systematic sampling could be used to determine if the machines are operating correctly. Which of the following best describes this type of sampling
Answers
According to the given information Every 10th product in the line is selected.
How does systematic sampling work?Systematic sampling is a probabilistic strategy that includes selecting people from the general population at predetermined intervals, such as each 15th people on a list of the population. If the community is set up in a random order, this can replicate the benefits of simple random sampling.
Why is sampling a systematic process?Biased sample sizes and subpar survey results are reduced by systematic sampling. If there is a low chance that data will be manipulated: Data validity may be compromised if researchers rearrange a data set. The best strategy for surveys when there is little likelihood of data manipulation is systematic sampling.
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true or false: if you are given a graph with two shiftable lines, the correct answer will always require you to move both lines.
Answers
False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.
In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.
When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.
In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.
However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.
Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.
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Mrs. Malatlian selects a simple random sample of 28 seniors from the 300 seniors at her school and finds that 20 of
them are planning to participate in the school's annual capture the flag game. She wants to construct a confidence
interval for p= the proportion of all seniors who plan to participate in the game. Which condition has she failed to meet,
if any?
a) The sample was selected at random.
b) np ≥ 10
c) n(1-p) ≥ 10
d) The sample size is less than 10% of the population size.
e) All conditions are met.
Answers
Mrs. Malatlian has failed to meet the condition that np ≥ 10.
What is meet?Meet is an event or gathering of people who have come together for a common purpose or to discuss specific topics. It typically involves a group of people who come together in person or virtually to exchange ideas and information. Meetings are often used as a platform for brainstorming, collaboration, problem solving, decision-making, and/or making plans. They can also serve as a platform for networking, team building, and connecting with others. Meetings can also be used to disseminate information or provide updates to a group.
Specifically, the sample size (n) is 28 and the proportion of those who plan to participate in the game (p) is 20/28 = 0.71.
Thus, np = 28(0.71) = 19.88 which is less than 10.
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The lines shown below are perpendicular. If the green line has a slope of - 1/4. what is the slope of the red line?
Answers
Which graph matches the equation y+6=3/4 (x+4)?
Answers
Answer: The equation y + 6 = 3/4 (x + 4) can be solved for y to find the corresponding graph:
First, isolate x by subtracting 4 from both sides:
y + 6 - 6 = 3/4 (x + 4) - 6
y = -6 + 3/4 (x + 4)
Next, isolate y by dividing both sides by 3/4:
y = -6 + 3/4 (x + 4) ÷ (3/4)
y = -6 + (x + 4)
y = x - 2 + 10
This equation represents a line with a slope of 1 and a y-intercept of 10 - 2 = 8. The graph of this line is a line that passes through the points (0, 8) and (1, 9).
Step-by-step explanation:
A person randomly selects one of six envelopes Each envelope contains a check that the person gets to keep. Determine the person's expectation if three envelopes contain a 491 check and three envelopes contain a 51003 checkThe expected value is $(Simplify your anwwer Type an integer or a decimal)
Answers
The probability formula is given by:
\(\text{ P(E) =}\frac{\text{ N(Required outcome)}}{\text{ N(Total outcome)}}\)The person selects one of six envelopes.
There is a probability that the person selects an envelope that contains a $491 of 3 envelopes OR an envelope that contains a $1003 check of 3 envelopes
\(\begin{gathered} \text{ P(select one containing \$491 check) =}\frac{3}{6}=\frac{1}{2} \\ \text{ P(select one containing \$1003 check) =}\frac{3}{6}=\frac{1}{2} \end{gathered}\)Then, the expected value is given by
\(\begin{gathered} \text{ P(Expected Value) =(}\frac{1}{2}\times491)\text{ +(}\frac{1}{2}\times1003) \\ =245.5+501.5 \\ =747.0 \end{gathered}\)
help please asasp tyyyyyyyyyyyy
Answers
Answer:
One pecan cheesecake = $9
One apple cheesecake = $20
Step-by-step explanation:
This is a system of equations problem, so we can set up these equations (Note: p = pecan cheesecake cost | a = apple cheesecake cost):
8p + 12a = 312
9p + 6a = 201
Now, we can solve the system of equations. Below is an example of using the elimination method to solve the system:
1. 8p + 12a = 312 --> -4p - 6a = -156
9p + 6a = 201 --> 9p + 6a = 201
2. 5p = 45
3. p = 9
4. 8(9) + 12a = 312
72 + 12a = 312
12a = 240
a = 20
1. We try to make one of the terms equal to the negative version of the other term to eliminate that term; here, I am eliminating "a". To do this, find a multiple of one of the equations where one of the terms is the negative version of the other term. In other words, divide/multiply the equation by a number so one of the terms in the equation is the negative version of the term in the other equation (I divided the first equation by -2 so 12a becomes -6a, the negative version of 6a in the second equation.
2. Next, add the two equations' corresponding terms
(-4p + 9p = 5p; -6a + 6a = 0; -156 + 201 = 45)
3. Simplify the equation (5p = 45; p = 45/5; p = 9)
4. Substitute the term you found back into one of the equations to find the other term.
A TV was bought for $18,950 and old at a loss of $4780.Find the selling price
Answers
Answer:
$23729.19 ( approx )
Step-by-step explanation:
Cost price = $ 18950
Loss = $ 4780
Loss% = 4780/18950 * 100 = 25.22%
Selling Price = 18950 (100+25.22)/100
= $23729.19 ( approx )
A bridge is 100 metres wide. From the one end of the bridge a person spots a boat with an angle of depression of 35 degrees. From the other end of the bridge another person spots the same boat with an angle of depression of 65 degrees. Find the vertical height of the bridge.
Answers
Solution
- The sketch of the scenario is
- We can find the value of x using the sine rule. This is done below:
\(\begin{gathered} \frac{x}{\sin115}=\frac{100}{\sin30} \\ \\ \therefore x=\frac{100\times\sin115}{\sin30} \\ \\ x=181.26156m \end{gathered}\)- After finding the value of x, we can apply SOHCAHTOA, as follows:
\(\begin{gathered} \sin35=\frac{h}{x}=\frac{h}{181.26156} \\ \\ \therefore h=181.26156\times\sin35 \\ \\ h=103.9674m \end{gathered}\)Final answer
The vertical height of the bridge is 103.9674m
por qué la triangulación con dos diagonales en un rectángulo no es adecuada para calcular el
área del rectángulo y calcular la suma de los ángulos internos del rectángulo
Answers
Answer:
rfgcc ft v crytrcvrcvhtfvyrfftv ffg
Step-by-step explanation:
tgfgghcg gn v v
a pollster wishes to estimate the number of left-handed scientists. how large a sample is needed in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 4%? a previous study indicates that the proportion of left-handed scientists is 8%.
Answers
If a pollster wishes to estimate the number of left-handed scientists. The sample that is needed in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 4% is: 176.71.
How to find the sample?Using this formula to find the sample
n =Z²π (1-π) ÷ e²
Where:
n =sample size =?
Z = Z -score for 95% confidence level =1.960
π = Population proportion = 0.08
e = Margin of error = 0.04
Let plug in the formula
n = 1.96² × 0.08 × (1 - 0.08) ÷ 0.04²
n = 3.8416× 0.08 × 0.92 ÷ 0.0016
n = 176.71
Therefore the sample is 176.71.
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2=7(−2)+4 what is y?
Answers
Answer:
2
Step-by-step explanation:
y would be the first number in the equation on the left side of the equal sign. This looks lik the y=mx+b formula, so m, being slope, would be 7, -3 would be x, and b would be 4.
what is perimeter? what is area?
Answers
Which option is better if saving for college or
retirement assuming the interest rates are the
same: a compound interest savings account or a
simple interest savings account? TEK58 120-
If invested over the same period of time, a simple
interest account and a compound interest account
will result in the same investment benefit
A simple interest savings account is a better
investment because the interest is earned on the
principal and accumulated interest and not just on
the beginning principal as with a compound
interest savings account
A compound interest savings account is a better
investment because the interest is earned on the
principal and accumulated interest and not just on
the beginning principal as with a simple interest
savings account
O A compound interest savings account is a better
investment because the interest is compounded a
greater number of times than a simple interest
account:
ji
Answers
Answer:
college
Step-by-step explanation:
3. What is the current price of a common stock that just paid a $4 dividend if it grows 5% annually and investors want a 15% return? (5) ch.7
4(1,05)_4:20 - $42 715-.05 110
4. Redo the preceding problem assuming that the company quits business after 25 years. (5) ch.7
42x 7.05 5. Redo Problem #3 assuming that dividends are constant. (5) 2
Ch.7
=$37,68
4 15 #26.67
6. Redo Problem #3 assuming that dividends are constant and the company quits business after 25 years. (5)
4 x 6.4641 = $25.88
Answers
3. The current price of the common stock is $40.
4. The stock price considering the company quitting business after 25 years is $46.81.
5. The stock price assuming constant dividends is $26.67.
6. The stock price assuming constant dividends and the company quitting business after 25 years is $25.88.
3. The current price of the common stock can be calculated using the dividend discount model. The formula for the stock price is P = D / (r - g), where P is the stock price, D is the dividend, r is the required return, and g is the growth rate. In this case, the dividend is $4, the required return is 15% (0.15), and the growth rate is 5% (0.05). Plugging these values into the formula, we get P = 4 / (0.15 - 0.05) = $40.
4. If the company quits business after 25 years, we need to calculate the present value of the dividends for those 25 years and add it to the final liquidation value. The present value of the dividends can be calculated using the formula PV = D / (r - g) * (1 - (1 + g)^-n), where PV is the present value, D is the dividend, r is the required return, g is the growth rate, and n is the number of years. In this case, D = $4, r = 15% (0.15), g = 5% (0.05), and n = 25. Plugging these values into the formula, we get PV = 4 / (0.15 - 0.05) * (1 - (1 + 0.05)^-25) = $46.81. Adding the final liquidation value, which is the future value of the stock price after 25 years, we get $46.81 + $0 = $46.81.
5. Assuming constant dividends, the stock price can be calculated using the formula P = D / r, where P is the stock price, D is the dividend, and r is the required return. In this case, the dividend is $4 and the required return is 15% (0.15). Plugging these values into the formula, we get P = 4 / 0.15 = $26.67.
6. If the company quits business after 25 years and assuming constant dividends, we need to calculate the present value of the dividends for those 25 years and add it to the final liquidation value. The present value of the dividends can be calculated using the formula PV = D / r * (1 - (1 + r)^-n), where PV is the present value, D is the dividend, r is the required return, and n is the number of years. In this case, D = $4, r = 15% (0.15), and n = 25. Plugging these values into the formula, we get PV = 4 / 0.15 * (1 - (1 + 0.15)^-25) = $25.88. Adding the final liquidation value, which is the future value of the stock price after 25 years, we get $25.88 + $0 = $25.88.
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Help on this question it’s for khan academy ☹️☹️ pls
Answers
Answer:
8
Step-by-step explanation:
80^2=8^2+x^2
80-64=x^2
16=x^2
x=4
4+4=8
The mod told me to put harder questions so here's a harder question:
2x+12= 24 what is x
Answers
Answer:
x=18
Step-by-step explanation:
done
Answer:
x = 6
Step-by-step explanation:
2x+12=24
subtract 12 both sides
2x+12-12=24-12
2x=12
divide 2 both sides
2x/2=12/2
x = 6
hope it's helpful ❤❤❤❤
THANK YOU.
for shape (i) give the electron-domain geometry on which the molecular geometry is based.
Answers
In shape (i), there are two electron domains around the central atom. This means that the electron-domain geometry is linear. However, there are two bonding pairs and no lone pairs of electrons around the central atom, resulting in the molecular geometry also being linear.
The concept of electron-domain geometry and molecular geometry is essential in understanding the properties of molecules. The electron-domain geometry is determined by the number of electron domains (bonding or lone pairs) around the central atom in a molecule. On the other hand, the molecular geometry is determined by the arrangement of atoms in the molecule, taking into account the presence of lone pairs.
Knowing the electron-domain geometry and molecular geometry of a molecule is crucial in predicting its polarity and reactivity. For instance, polar molecules have an asymmetric distribution of electron density, while nonpolar molecules have a symmetric distribution. This difference in polarity affects the physical and chemical properties of a molecule, such as boiling point, melting point, and solubility.
In summary, in shape (i), both the electron-domain geometry and molecular geometry are linear, which means that the central atom has two bonding pairs and no lone pairs. Understanding the electron-domain and molecular geometry of molecules is essential in predicting their properties and behavior.
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\(\frac{6\sqrt{3} }{7\sqrt{8} }\)
Answers
divide rs 50000 bettween two charties in the ratio of 1/10: 1/15
TELL PLEASE
Answers
Answer:
sorry
Step-by-step explanation:
i dont know
sjksiisje
jsjsjdjdjdj
sjjsjd
Answer:
30000 : 20000
Step-by-step explanation:
Given the ratio
\(\frac{1}{10}\) : \(\frac{1}{15}\) ( multiply both parts by 30 the LCM of 10 and 15, to clear the fractions )
= 3 : 2
sum the parts of the ratio, 3 + 2 = 5 parts
Divide the amount by 5 to find the value of 1 part of the ratio
50000 ÷ 5 = 10000 ← value of 1 part of the ratio, then
3 parts = 3 × 10000 = 30000
2 parts = 2 × 10000 = 20000
Then
50000 = 30000 : 20000 in the ratio 3 : 2
How do the telomere lengths of parents with DKC compare with the telomere lengths of their children with DKC
Answers
Dyskeratosis congenita (DKC) is a rare inherited disorder that affects the production and maintenance of telomeres. Telomeres are the protective caps on the ends of chromosomes that shorten as cells divide and age.
In people with DKC, telomeres are shorter than normal, which can lead to premature aging, bone marrow failure, and an increased risk of cancer.
When both parents have DKC, all of their children inherit the disorder and are also born with shorter telomeres. The exact length of telomeres can vary from person to person, even within families. However, the telomere lengths of children with DKC tend to be shorter than those of their parents with DKC because the telomeres are progressively shortened with each generation.
Moreover, the rate of telomere shortening can also be influenced by factors such as environmental exposures, stress, and lifestyle choices, which may contribute to variations in telomere lengths between parents and children with DKC.
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Solve using order of operation 2y+7= negative 7
Answers
Answer:
y = -7
Step-by-step explanation:
2y + 7 = -7
Subtract 7 from both sides.
2y + 7 - 7 = -7 - 7
2y = -14
Divide both sides by 2.
2y/2 = -14/2
y = -7
lauren and three of her friends are going to magic springs. the total trip: gas, tickets, and food cost $125.76. how much will each person pay for their fun trip
Answers
Answer:
$31.44
Step-by-step explanation:
$125.76 ÷ 4 = $31.44
Lauren $31.44
Friend 1 $31.44
Friend 2 $31.44
Friend 3 $31.44
+ ________
$125.76
5. Add or subtract the polynomials.
(−+−)+(−−+)
Answers
Answer: what are the numbers? There’s none
PLEASE HELP ILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER
An adult can take 400 mg of ibuprofen. Each hour, the amount of ibuprofen decreases by 25%.
a. Write an equation of this exponential situation for the total amount of ibuprofen, y, in terms of the number of hours, x.
b. Does this situation represent exponential growth or decay? Explain how you know.
Answers
Answer:
the answer is the 1st choice
Step-by-step explanation:
i remember this question and believe i got it right
match each decimal value on the left with the corresponding hexadecimal
Answers
To match decimal values with their corresponding hexadecimal values, we need to convert the decimal numbers into their hexadecimal equivalents using division and remainders.
To match each decimal value on the left with the corresponding hexadecimal value, we need to convert the decimal numbers into their hexadecimal equivalents.
Here are a few examples:
1. Decimal 10 = Hexadecimal A
To convert 10 to hexadecimal, we divide it by 16. The remainder is A, which represents 10 in hexadecimal.
2. Decimal 25 = Hexadecimal 19
To convert 25 to hexadecimal, we divide it by 16. The remainder is 9, which represents 9 in hexadecimal. The quotient is 1, which represents 1 in hexadecimal. Therefore, 25 in decimal is 19 in hexadecimal.
3. Decimal 128 = Hexadecimal 80
To convert 128 to hexadecimal, we divide it by 16. The remainder is 0, which represents 0 in hexadecimal. The quotient is 8, which represents 8 in hexadecimal. Therefore, 128 in decimal is 80 in hexadecimal.
Remember, the hexadecimal system uses base 16, so the digits range from 0 to 9, and then from A to F. When the decimal value is larger than 9, we use letters to represent the values from 10 to 15.In conclusion, to match decimal values with their corresponding hexadecimal values, we need to convert the decimal numbers into their hexadecimal equivalents using division and remainders.
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Which number is not a perfect square?
44
25
49
289
Answers
Answer:
44 is not an perfect square
Answer:
44 is not a perfect square
Step-by-step explanation:
plz mark brainlyest if I am right
THE QUESTION IS IN THE PICTURE
Answers
Answer:
It should be 56, sorry if i am wrong
Step-by-step explanation:
28 divided by 14 is 2
56 divided by 14 is 4
Answer:
56
Step-by-step explanation:
First, you simplify 2/4 to 1/2. Then you figure that 28 * 2= 56/1= 56.
To double check your answer, put 56 in the box and see if the two fractions equal each other.
A shopkeeper bought 50 pangas and 30 jembes from a wholesaler A for sh 4260. Had he bought half as many jembes and 5pangas less,he would have sh 1290 less. Had the shopkeeper bought from wholesaler B,he would have paid 25% more for a pangas and 15 %less for a jembe. How much would he have saved if he had bought the 50 pangas and 30 jembes from wholesaler B
Answers
The shopkeeper would have saved 4756.25 - 4260 = 496.25 shillings.
What is the linear equation?
A linear equation is an algebraic equation of the form y=mx+b. where m is the slope and b is the y-intercept. We have a graph.
Let the cost of one panga be x and one jembe be y.
From the given information, we can form the following equations:
50x + 30y = 4260 --- Equation 1
25x/2 + (30/2 - 5)y = 2970 --- Equation 2
50(1.25)x + 30(0.85)y = total cost from wholesaler B --- Equation 3
Simplifying equation 2:
25x/2 + 10y - 5y = 2970
25x/2 + 5y = 2970
25x + 10y = 5940
Simplifying equation 3:
62.5x + 25.5y = total cost from wholesaler B
To solve for x and y, we can use any method of our choice. For simplicity, we will use elimination:
Multiplying equation 1 by 5:
250x + 150y = 21300 --- Equation 4
Multiplying equation 2 by 2:
25x + 20y = 5940 --- Equation 5
Subtracting equation 5 from equation 4:
225x + 130y = 15360
Substituting the value of y from equation 5:
225x + 130(297 - 2.5x) = 15360
225x + 38610 - 325x = 15360
-100x = -23250
x = 232.5
Substituting the value of x in equation 1:
50(232.5) + 30y = 4260
y = 85
Therefore, the cost of one panga is 232.5 shillings and the cost of one jembe is 85 shillings.
To find out how much the shopkeeper would have saved if he had bought from wholesaler B, we need to calculate the total cost from wholesaler B:
50(1.25)(232.5) + 30(0.85)(85) = 4756.25
The total cost from wholesaler A was 4260 shillings.
Therefore, the shopkeeper would have saved 4756.25 - 4260 = 496.25 shillings.
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For a two-tailed hypothesis test about µ, we can use any of the following approaches excepta. compare the level of significance to the confidence coefficientb. compare the value of the test statistic to the critical valuec. compare the p-value to the value of a
Answers
For a two-tailed hypothesis test about μ, we can use any of the following approaches except comparing the level of significance; to the confidence coefficient
To determine if the sample mean is substantially more than or significantly less than the population mean, a two-tailed hypothesis test is used. The area under both tails or sides of a normal distribution is what gives the two-tailed test its name.
Any of the following methods, with the exception of comparing the level of significance to the confidence coefficient, can be used for a two-tailed hypothesis test regarding. To create a confidence interval estimate for the population mean, approach (d) compares the level of significance which is a to the confidence coefficient which is 1- a. This method is employed to estimate the population parameter rather than test a hypothesis.
Complete Question:
For a two-tailed hypothesis test about μ, we can use any of the following approaches EXCEPT compare the _____ to the _____.
a.confidence interval estimate of μ; hypothesized value of μ
b.p-value; value of α
c.value of the test statistic; critical value
d.level of significance; confidence coefficient
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