Answer:
6,000 or 6 hundredths
Step-by-step explanation:
Susan has a monthly net income of $1875. She saves $330 per month.
a) What percent of her monthly income does Susan save? Round to one decimal place. (Blank 1)
b) What percent of her monthly income does Susan spend? Round to one decimal place. (Blank 2)
Answer:
a. 18%
b. 82%
Step-by-step explanation:
Given:
Monthly net income = $1875
Savings per month = $330
Asked:
a) Percentage of savings
b) Percentage of expenses
Solve:
To get the percentage of the savings, simply divide the amount being saved per month by the monthly net income then multiply by 100%
a) Percentage of savings = $330/$1875 x 100%
=0.176(100%)
=17.6% or 18%
b) To get the percentage of expenses,
Percentage of savings = (Total monthly net income - savings)/ total monthly net income x 100%
Percentage of savings = ($1875-$330)/$1875 x 100%
= $1545/$1875 x 100%
= 0.824(100%)
= 82.4% or 82%
For the following questions, assume a shuffled, standard deck of 52 playing cards. You shuffle the deck and draw the following: Jack of Spades, Ace of Diamonds, 3 of Spades, 8 of Spades, 7 of Hearts, Queen of Hearts, 5 of Clubs, 4 of Hearts, Ace of Hearts, and Jack of Clubs.
1. What is the theoretical probability (expressed as a percent) of drawing a black card?
2.What is the experimental probability (expressed as a decimal) of drawing a Diamond?
3. What was the theoretical probability (expressed as a fraction) of drawing a card with a number on it?
4. What is the experimental probability (expressed as a percent) of drawing a Jack?
For the standard deck of cards the probability values are -
1. 50%
2. 10%
3. 69.2%
4. 20%
What is probability?
Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.
1. There are 26 black cards in a standard deck (13 clubs and 13 spades) out of a total of 52 cards.
Therefore, the theoretical probability of drawing a black card is -
= 26/52
= 1/2
= 50%
2. There is 1 Ace of Diamonds in a standard deck out of a total of 52 cards.
Therefore, the experimental probability of drawing a Diamond is -
1/10 = 0.1 (or 10%)
3. There are 36 cards in a standard deck with a number on them (2 through 10) out of a total of 52 cards.
Therefore, the theoretical probability of drawing a card with a number on it is -
= 36/52
= 9/13
= 0.692 ( or 69.2%)
4. There are 4 Jacks in a standard deck out of a total of 52 cards.
The experimental probability of drawing a Jack from the given 10 cards is -
2/10 = 0.2 (or 20%).
Therefore, all the probability values are obtained.
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If m<IHF=75°, then what is m<EHK?
Simply here we can see ID is a straight line.
So, angle IHL + angle EHK = 180°
or, 75° + angle EHK = 180°
or, angle EHK= 105°
Hope it helps uh.
Simplify the expression .
After simplifying the given expression, the exponent of x is(_)
and the exponent of y is(_)
Answer:
x^33 y^0 x is to the 33 y is to the 0
Step-by-step explanation:
Answer:
^33
y^0
Step-by-step explanation:
First simplify x^8y/x^-39
Which then gets you
x^47 y^-26'/x^14 y^-5 y^-21
Then you simplify x^47/x^14
Which gets you
x^33 y^26/y^-5 v^-21
Then simplify y^-26/y^-5
Which gets you afterwards
x^33/y^21 y^-21
Then you just simplify the numbers that are left x^33/y^21 y^-21
Then you get
X^33
(and since x^33 equals y^0 then)
Y^0
Hope this helped!
the mayor of a town has proposed a plan for the construction of an adjoining community. a political study took a sample of 800 voters in the town and found that 64% of the residents favored construction. using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 60%. determine the decision rule for rejecting the null hypothesis, h0, at the 0.10 level.
The Decision rule for rejecting the null hypothesis, Z > 1.28
What is Null Hypothesis?
The null hypothesis is a common statistical theory that asserts that no statistical link or significance exists between two sets of observed data and measured phenomena based on a single observed variable.
Given,
Sample Voters - 800
Residents Favored Construction - 64%
Percentage of residents who favour construction is more than 60%.
This is right tailed test, for α = 0.1
Critical Value Z is 1.28
Hence reject h0 if Z >1.28
Z > 1.28 is the decision rule for rejecting the null hypothesis at the 0.10 level
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Write the integer:
A company suffered the loss of $5 million last year
$5,000,000
-$5,000,000
$500,000
-$500,000
Answer: -5,000,000 is your answer
hope this helps :)
If a + b = 7 and b=3, what is 4a
A. 20b
B. 17a
C. 16
D.20
The requried simplified value of 4a is 16. Option C is correct.
What is simplification?Simplification is the process of reducing a mathematical expression to its simplest form by combining like terms, using the distributive property, and performing other algebraic operations.
If b=3, then substituting in the first equation, we get:
a + 3 = 7
Solving for a:
a = 4
Now, 4a = 4 x 4 = 16.
Therefore, the answer is C. 16.
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i need someones help please asap
Answer:
y = - \(\frac{8}{7}\) x + \(\frac{8}{7}\)
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 6, 8 ) and (x₂, y₂ ) = (1, 0 )
m = \(\frac{0-8}{1-(-6)}\) = \(\frac{-8}{1+6}\) = - \(\frac{8}{7}\) , then
y = - \(\frac{8}{7}\) x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation.
using (1, 0 ), that is x = 1, y = 0
0 = - \(\frac{8}{7}\) + c ⇒ c = 0 + \(\frac{8}{7}\) = \(\frac{8}{7}\) , so
y = - \(\frac{8}{7}\) x + \(\frac{8}{7}\) ← equation of line
there is also a 30% chance that fund b will rise in price. what is the probability that a rises and b does not rise in price?
There is a 35% chance that fund A rises and fund B does not rise in price.
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are.
To calculate the probability that fund A rises and fund B does not rise in price, we need to multiply the probability of fund A rising (let's assume it is 50% for the sake of this example) by the probability of fund B not rising (which is 70%). So the probability would be:
0.5 (probability of fund A rising) x 0.7 (probability of fund B not rising) = 0.35 or 35%.
Therefore, there is a 35% chance that fund A rises and fund B does not rise in price.
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Atoms are made up of electrons, protons and neutrons. Protons have a positive charge, electrons have a negative charge, and neutrons have no charge. The oxygen atom has 8 electrons and 8 neutrons. How many protons must it have to have 0 charge?
Answer:
Protons and neutrons each count for one AMU, and the electron counts for zero AMU. So, if the atomic mass of oxygen is 16, that means we have a total of 16 protons and neutrons. 16 total protons and neutrons minus 8 protons leaves us with 8 neutrons.
The product of −2 and a number x is greater than 30. Whats the solution of the inequality.
Answer: x < -15
Step-by-step explanation:
(-2)*(x) > 30
x < -15 The inequality reverses direction when a negative number is used in the manipulation (we divided by -2).
A quantity changes according to the function f(t) = 9400(1.05), where t is time,
in years. What is the percent change of the function per year?
The main answer to the question is that the percent change of the function per year is 5%.
The function f(t) = 9400(1.05) represents the quantity changing by a factor of 1.05 each year, since the variable t represents time in years. To find the percent change per year, we can subtract 1 from 1.05 to get 0.05, which represents a 5% increase from the original quantity each year. Therefore, the percent change of the function per year is 5%.
What is the percent change of the function f(t) = 9400(1.05)^t per year?
The percent change of the function per year is 5%.
The function f(t) = 9400(1.05)^t represents an exponential growth, where 9400 is the initial value, and 1.05 is the growth factor. To find the percent change per year, we look at the growth factor. Since 1.05 is the growth factor, this means that the quantity is increasing by 5% per year (0.05 as a decimal, which is equivalent to 5%).
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The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled.
Statistical Process Control Chart: You produce widgets with a target width of 10 inches, a
standard error of the means of .05 inches, and a normal distribution of widths.
a. Calculate and chart the upper and lower control limits.
The Statistical Process Control Chart is a chart that displays the variation in a process over time. It helps organizations monitor the performance of their processes and detect any unusual variation.
The chart is used in statistical process control (SPC) to identify and prevent defects and variations. In the production of widgets, the target width is 10 inches, with a standard error of the means of .05 inches, and a normal distribution of widths.
The following is how to calculate and chart the upper and lower control limits:
Upper control limit (UCL) = Target + 3*(Standard Error of the Mean)
UCL = 10 + 3*(0.05)UCL = 10.15
Lower control limit (LCL) = Target - 3*(Standard Error of the Mean)
LCL = 10 - 3*(0.05)
LCL = 9.85
Therefore, the UCL is 10.15 inches, and the LCL is 9.85 inches.
The Statistical Process Control Chart for the production of widgets with a target width of 10 inches, a standard error of the means of .05 inches
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Find the value of the variable: m - 4 = 12
\(0,6 whole5/9\)
Answer:
That doesn't make any sense
Step-by-step explanation:
Answer:
What does that mean
Step-by-step explanation:
How do I solve this?
Answer:
5a-30
Step-by-step explanation:
multiply 5 since its outside by the numbers inside the parethesis
I think it would be (5 × a) + (5 × -6)
Solve the simultaneous equation.
2x+3y=6
7x-2y=1
Answer:
do you meed x and y?
sorry i dont understand
Answer:
2×=6-3y
2x=3
×=3/2
x=1.5
Step-by-step explanation:
7x=1+2y
7x=3y
x=3/7
x=o.4
Based on the following payoff table, answer the following: Buy Rent Lease Prior Probability The Bayes' decision rule strategy is: O Lease O Buy O High Alternative Low Rent High 90 70 60 0.44 Low -10 4
The Bayes' decision rule strategy is Buy.
Bayes' decision rule is used to choose between a set of mutually exclusive and collectively exhaustive outcomes based on the probabilities of those outcomes and their expenses. It chooses the decision alternative with the largest expected value. Bayes' decision rule specifies the following method for selecting between two mutually exclusive possibilities:
choose the one with the highest probability of being correct. Suppose we have two alternatives, A1 and A2, and we must select one. The outcomes O1, O2, and O3 may arise if we select A1, and outcomes O4, O5, and O6 may arise if we select A2, as shown in the given payoff table below:O1 O2 O3A1 r1 r2 r3A2 r4 r5 r6The procedure for using Bayes' rule is as follows:
Step 1: Calculate the likelihood ratios for each outcome. The likelihood ratio is the probability of the outcome given the chosen alternative divided by the probability of the outcome given the alternative not selected. For example, the likelihood ratio for O1 is as follows: r1/(r4 + r5 + r6).
Step 2: Estimate the prior probabilities of the alternatives (before any information is acquired). Assume that these are 50-50 probabilities unless more information is available. For example, if A1 and A2 are equally likely, their prior probabilities are both 0.50.
Step 3: Calculate the posterior probabilities of the alternatives given the observed outcome.
Bayes' theorem is used to calculate the posterior probabilities of the alternatives. The formula for Bayes' theorem is as follows: P(Ai|Oj) = (P(Oj|Ai)P(Ai))/ P(Oj)where P(Ai|Oj) is the posterior probability of Ai given Oj, P(Oj|Ai) is the likelihood of Oj given Ai, P(Ai) is the prior probability of Ai, and P(Oj) is the total probability of Oj, which is the sum of the likelihoods for the two alternatives.
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3/2 + 1/2x = 2x
Solve for x
Answer:
x=1
Step-by-step explanation:
\(\frac{3}{2}+\frac{1}{2}x=2x\\\\2[\frac{3}{2}+\frac{1}{2}x]=2(2x)\\\\3+1x=4x\\\\3=4x-x\\\\3=3x\\\\x=1\)
olon and rectal cancer are less common in countries, like italy, that consume a mediterranean diet. the primary source of fat in the mediterranean diet is olive oil. italian researchers collected data on olive oil consumption and other diet-related information from a random sample of 1,953 patients with colon or rectal cancer and 4,154 patients admitted to the same hospitals for other, unrelated reasons. we conducted a chi-square test of independence with some of the data. here are the results. in this print-out results table, the observed count appears above the expected count in each cell. low levels of olive oil moderate levels of olive oil high levels of olive oil total colon cancer 398 404.4 397 404.2 430 416.4 1225 rectal cancer 250 240.3 241 240.2 237 247.5 728 total 2016 2015 2076 6107 chi-square test: statistic df value p-value chi-square 4 1.5515802 0.8175 what can we conclude? group of answer choices higher levels of olive oil consumption are associated with lower colon and rectal cancer rates. the association is statistically significant. there is no statistically significant association between colon and rectal cancer and consumption of olive oil. we have strong evidence that olive oil consumption and the occurrence of these types of cancer are dependent. nothing, because the conditions for use of the chi-square test are not met.
The correct statement regarding the test of the hypothesis is given as follows:
There is no statistically significant association between colon and rectal cancer and consumption of olive oil.
What are the hypothesis tested?There are two hypothesis, the null hypothesis and the alternative hypothesis, and they are presented as follows:
Null hypothesis: not enough evidence to conclude that there is a statistically significant association between colon and rectal cancer and consumption of olive oil.Alternative hypothesis: Enough evidence to conclude that there is a statistically significant association between colon and rectal cancer and consumption of olive oil.What is the decision?The decision depends on the p-value of the test, as follows:
Less than the standard significance level of 0.05 -> Reject the null hypothesis -> Statistically significant association.More than the standard significance level of 0.05 -> Do not reject the null hypothesis -> No statistically significant association.The p-value for this table is given as follows:
0.8175.
Greater than 0,05, hence no association.
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Which of the following models is/are equivalent to the fitted modellog( ) = = 1.6 - 0.2.c? Please select all that apply. It's possible that there is only one correct answer. y = 21.6-0.25 1+€1.6-0.22 1 O 1+1.6-0.22 0 S 1 1+e-1.6+0.2 y = 1.6-0.22
The fitted model log( ) = 1.6 - 0.2c is equivalent to the models y = 21.6 - 0.25(1+\(e^(1.6-0.2c)\)), y = 1.6 - 0.22/(1+\(e^(1.6+0.2)\)), and y = 1.6 - 0.22.
The fitted model log( ) = 1.6 - 0.2c represents a logarithmic relationship between the dependent variable and an independent variable, denoted as "c." To identify equivalent models, we need to examine the given options.
Option 1: y = 21.6 - 0.25(1+\(e^(1.6-0.2c)\))
This model is equivalent to the fitted model log( ) = 1.6 - 0.2c because the right side of the equation contains the term 1+\(e^(1.6-0.2c)\), which corresponds to the exponential function e^(1.6-0.2c). The coefficient -0.25 in front of the parentheses can be absorbed into the equation without altering its equivalence.
Option 2: y = 1.6 - 0.22/(1+\(e^(1.6+0.2)\))
This model is also equivalent to the fitted model because it contains the term 1+e^(1.6+0.2) in the denominator. The coefficient -0.22 in front of the fraction can be absorbed into the equation without changing its equivalence.
Option 3: y = 1.6 - 0.22
This model is a simplified version of the fitted model. It does not involve any exponential or logarithmic functions, but the coefficients 1.6 and -0.22 remain the same as in the original equation.
Therefore, the correct answers are options 1 and 2, as they preserve the logarithmic nature of the fitted model. Option 3 is not equivalent to the fitted model, as it lacks the logarithmic and exponential components.
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April borrows $60 from her grandmother to buy basketball shoes. At the end of the first week, April pays back $5. At the end of each of the following weeks, she pays back $3 more than she did the previous week. The arithmetic sequence 5, 8, 11, 14,. . . Can be used to represent this situation. In this sequence n represents what?.
Answer: Number of weeks
Step-by-step explanation:
Just did it on Ed
What is 5% of $40.00?
Answer:
$2
Step-by-step explanation:
40 x 0.05 = 2
Find the value of x that makes p and q
Answer:
14)
\({ \rm{(5x - 9) \degree + (2x) \degree = 180 \degree}} \\ { \tt{ \{straight \: line \: angles \}}} \\ { \rm{7x - 9 = 180}} \\ { \rm{7x = 189}} \\ { \boxed{ \mathfrak{answer :{ \rm{ \: \: x = 27}} }}}\)
15)
\({ \rm{63 \degree + (9x + 36) \degree = 180 \degree}} \\ { \rm{9x + 99 = 180}} \\ { \rm{9x = 81}} \\ { \boxed{ \mathfrak{answer : \: \: { \rm{x = 9}}}}}\)
\({ \underline{ \mathfrak{ \green{Good \: grace}} \: \:⚜ \: \: { \blue{ \mathfrak{Good \: God}}}}}\)
1) Julie bought 8 concert tickets over the phone. The
cost per ticket was $x. Each ticket had a convenience
charge of $2. There was also a one-time transaction
charge of $5. What was the total cost of the tickets?
Answer: $29x
Step-by-step explanation:
8 tickets
8 x X= 8x
8x2=16
16+5=21
8x+21=29x
=$29x
Answer:
21 please let me know if this helped
Step-by-step explanation:
2x+5
x=8
2(8)+5
16+5 = 21
please help!! urgent
Answer:
3
Step-by-step explanation:
(5) - (9 - (4) + (3)
5 - ( 9 - 7 )
5 - 2
= 3
a bottle of soap cost 3.45 for 15 ounces. what is the cost per ounce?
Answer:
Step-by-step explanation:
15 divided by 15 is 1
3.45 divided by 15 is 0.23
The cost per ounce is 23 cents, or $0.23
Gary applied the distributive property using the greatest common factor to determine the expression that is equivalent to 66 + 36. His work is shown below. Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66 Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36 66 + 36 = 3 (22 + 12)
Step-by-step explanation:
Factors of 66 = 1, 2, 3, 6, 11, 22, 33, 66
Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36
GCF (greatest common factor) = 6
Gary applied the distributive property using the greatest common factor to determine the expression that is equivalent to 66 + 36. He wrote it as :
66 + 36 = 3 (22 + 12)
But he is wrong. He multiplied (22+12) by 3 which is wrong. The correct step should be :
66 + 36 = 6 (11+ 6)
= 6(17)
= 102
Hence, this is the required solution.
Help me solve problem 7
Answer:
3-2r + 1 - 13
Step-by-step explanation:
3-2r + 1 - 13
Answers:
Compound inequality: 1 < x < 6Graph: Open hole at 1 and 6, shading in between (see diagram below)Interval notation: (1,6)=============================================
Work Shown:
3 < 2x+1 < 13
3-1 < 2x+1-1 < 13-1 .... subtract 1 from all sides
2 < 2x < 12
2/2 < 2x/2 < 12/2 ... divide both sides by 2
1 < x < 6
The value of x is between 1 and 6, excluding both endpoints.
Since we exclude both endpoints, the graph will have open holes at 1 and 6 on the number line. The shading is between the open holes. The graph is below.
Converting 1 < x <6 to interval notation leads to (1, 6)
The curved parenthesis in interval notation indicate "exclude the endpoint".