Answer:
Step-by-step explanation:
a-5=62 add 5 to both sides
a=67
Can you solve 17+4x<9
Answer:
x<-2
Step-by-step explanation:
17+4x<9
4x<-8
x<-2
The solution is:
↬ x < -2Work/explanation:
Recall that the process for solving an inequality is the same as the process for solving an equation (a linear equation in one variable).
Make sure that all constants are on the right:
\(\bf{4x < 9-17}\)
\(\bf{4x < -8}\)
Divide each side by 4:
\(\bf{x < -2}\)
Hence, x < -2PLEASE HELP WITH THE PIC
last 4 is any1 is willing to help me ?!
+5 extra points .
Answer:
35 degrees for first one but i d k the others
Step-by-step explanation:
Unit C, Review Exercise C.038
Online Browsing on a Phone A recent study1 shows that 17% of a random sample of 1954 cell phone owners do most of their online browsing on their phone. The standard error for the proportion is 0.0085 . The sample size is large enough to use a normal distribution. 1Smith, A., "Cell Internet Use 2012," Pew Research Center, pewresearch.org, June 26, 2012.
(a) Find a 99% confidence interval for the proportion of cell phone owners who do most of their online browsing on their phone. Round your answers to one decimal place. The 99% confidence interval is ____ % to _____ % .
(b) Use a normal distribution to test whether there is evidence that the proportion is greater than 0.15 .
State the null and alternative hypotheses.
(c) Give the test statistic and the p -value and state the conclusion of the test. Round your answer for the test statistic to two decimal places and your answer for the p -value to three decimal places.
Test statistic = _____
p -value = _____
Conclusion: Reject or do not reject H0?
A) A 99% confidence interval for the proportion of cell phone owners who do most of their online browsing on their phone is between 15.9% to 18.1%.
B) AS we have used the normal distribution to test and then we have found that we have enough evidence to reject the null hypothesis in favor of the alternative.
C) Test statistic = 2.35.
p -value = 0.009
To answer the first question, we need to find a confidence interval for the proportion. This interval represents a range of values that we are reasonably certain the true population proportion falls within. The 99% confidence interval is calculated by taking the sample proportion (0.17), adding and subtracting a margin of error based on the standard error (0.0085), and then multiplying by the appropriate critical value from the normal distribution (2.58). This gives us a confidence interval of 15.9% to 18.1%.
For the second question, we need to set up our hypotheses. The null hypothesis (H0) is that the true population proportion is equal to 0.15, while the alternative hypothesis (Ha) is that it is greater than 0.15. We will use a one-tailed test with a significance level of 0.05 to determine whether we have enough evidence to reject the null hypothesis in favor of the alternative.
To perform the hypothesis test, we need to calculate a test statistic and a p-value. The test statistic is a measure of how far our sample proportion is from the hypothesized value of 0.15, in terms of standard errors. In this case, the test statistic is (0.17 - 0.15) / 0.0085 = 2.35.
The p-value is the probability of getting a test statistic as extreme as 2.35 or more extreme, assuming the null hypothesis is true. Using a normal distribution table or calculator, we find that the p-value is 0.009.
Since our p-value is less than the significance level of 0.05, we have enough evidence to reject the null hypothesis and conclude that the true population proportion is likely greater than 0.15.
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PLEASE ANSWER THIS ASAP, 15 POINTS!
Answer:
The second one the amount of monthly sales
Step-by-step explanation:
The 2000 is the total
an insurance company checks police records on 582 accidents selected at random and notes that teenagers were at the wheel in 91 of them. (a) (8 pts) find the 95% confidence interval for , the true proportion of all auto accidents that involve teenage drivers. (note: for full credit, show all your work. no credit
The 95% confidence interval for the true proportion of all auto accidents involving teenage drivers is approximately (0.1205, 0.1927).
To find the 95% confidence interval for the true proportion of all auto accidents involving teenage drivers, we can use the formula for the confidence interval for a proportion.
The formula for the confidence interval is:
CI = p1 ± Z * √((p1 * (1 - p1)) / n)
Where:
CI is the confidence interval,
p1 is the sample proportion (proportion of accidents involving teenage drivers),
Z is the Z-score corresponding to the desired confidence level (95% confidence level corresponds to Z ≈ 1.96),
n is the sample size (number of accidents checked).
Given:
Number of accidents checked (sample size), n = 582
Number of accidents involving teenage drivers, x = 91
First, we calculate the sample proportion:
p1 = x / n = 91 / 582 ≈ 0.1566
Now we can calculate the confidence interval:
CI = 0.1566 ± 1.96 * √((0.1566 * (1 - 0.1566)) / 582)
Calculating the standard error of the proportion:
SE = √((p1 * (1 - p1)) / n) = √((0.1566 * (1 - 0.1566)) / 582) ≈ 0.0184
Substituting the values into the formula:
CI = 0.1566 ± 1.96 * 0.0184
Calculating the values:
CI = 0.1566 ± 0.0361
Finally, we can simplify the confidence interval:
CI = (0.1205, 0.1927)
Therefore, the 95% confidence interval for the true proportion of all auto accidents involving teenage drivers is approximately (0.1205, 0.1927).
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Find the volume of a tetrahedron in the first octant bounded by the coordinate planes and the plane passing through (2,0,0), (0,1,0), and (0,0,4) using integration. Use dzdydx for the order of integration.
The volume of a tetrahedron in the first octant bounded by the coordinate planes and the plane passing through (2,0,0), (0,1,0), and (0,0,4) using integration, with the order of integration dzdydx i.e. V = ∫[0 to 2] ∫[0 to 1 - x/2] ∫[0 to 4] dz dy dx.
To find the volume of the tetrahedron, we can set up a triple integral using the given order of integration dzdydx. The limits of integration will correspond to the bounds of the region within the tetrahedron. Since the tetrahedron is bounded by the coordinate planes and the plane passing through (2,0,0), (0,1,0), and (0,0,4), the limits of integration will be:
For z: 0 to 4
For y: 0 to 1 - x/2
For x: 0 to 2
Setting up the integral, we have:
V = ∫∫∫ dzdydx
V = ∫[0 to 2] ∫[0 to 1 - x/2] ∫[0 to 4] dz dy dx
Evaluating this triple integral will give us the volume of the tetrahedron in the first octant.
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write the equation of the line thay passes through the point (2,-1) and has a slope of -3
Answer:
Y = -3x - 1
Step-by-step explanation:
Y= mx + b
M is the slope
Y is the y intercept
Mikes plumbing charges 68 for coming to your house and 17 per hour for labor if I paid him 357, how many hours, h, was mike at my house ? Write and solve an equation that is represented in this scenario.
Answer:
b. \( 68 + 17h = 357 \)
f. 17 hours
Step-by-step explanation:
Charges for coming to my house = $68 (this will be the constant of the equation)
Amount charged per hour labor = $17
hours = h
Total amount paid to Mike = 357
The equation that represents this situation can be expressed as:
\( 68 + 17h = 357 \)
Solve for h
\( 68 + 17h - 68 = 357 - 68 \) (subtraction property of equality)
\( 17h = 289 \)
\( \frac{17h}{17} = \frac{289}{17} \) (division property of equality)
\( h = 17 \)
Mike was in my house for 17 hours.
So confused on how to do these kinda problems
An equation of the line that passes through the given point and is
(a) parallel to is y = -3x - 7
(b) perpendicular to is y = (1/3)x + 1/3.
How to write an equation of a line?a) Parallel line
The slope of the given line is -3. The slope of a parallel line is also -3. So, the equation of the parallel line will be of the form:
y = -3x + b
Plug the point (-2, -1) into this equation to solve for b, the y-intercept.
-1 = -3(-2) + b
-1 = 6 + b
-7 = b
Therefore, the equation of the parallel line is:
y = -3x - 7
b) Perpendicular line
The slope of a perpendicular line is the negative reciprocal of the slope of the given line. The slope of the given line is -3, so the slope of the perpendicular line is 1/3. So, the equation of the perpendicular line will be of the form:
y = (1/3)x + b
Plug the point (-2, -1) into this equation to solve for b, the y-intercept.
-1 = (1/3)(-2) + b
-1 = -2/3 + b
1/3 = b
Therefore, the equation of the perpendicular line is:
y = (1/3)x + 1/3
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A sum of $950 is invested at 17% interest. If A(t) is the amount investment at time t for the case of continuous compounding, w differential equation and an initial condition satisfied by A(t) Select the correct answer. dA O dt17A, AO) 950 dA 0.17A, AO)95 dA dA O 0.17A(0. A- 950 dA O 0.17A, A(O)950 O none of those
ANSWER: dA/dt=0.17A A(0)=950
The correct differential equation and initial condition for the continuous compounding of a sum of 950$ at 17% interest are given by dA/dt = 0.17A and A(0) = 950. This represents the rate of change of the amount A(t) with respect to time and the initial investment value, respectively.
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How many different 9-letter strings can be made by rearranging the characters in the word "WISCONSIN"? 96 O9!/8 O C(9,6) 9!
9!
---------------
2! x 2! x 2!
What number is 8 a multiple of?
The numbers, 8 is a multiple of are 1, 2, 4 & 8.
What is a multiple?
Multiples are values which come in other numbers multiplication table. When two numbers are multiplied together, the result is a multiple, or product. For instance, if we say 4 × 5 = 20, here 20 is a multiple of 4 and 5. The other multiples of 4 can be listed as 4 (4 ×1 = 4), 8 (4 × 2 = 8), 12 (4 × 3 = 12), and so on.
Solution/Explanation:
1*8=8
2*4=8
4*2=8
8*1=8
so there are 4 numbers whose multiple is 8.
Let's take a number 6
Now, we know that 6 comes in numbers 1, 2, 3, 6 multiplication table so 6 is a multiple of 1, 2, 3, 6
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To purchase worth of lab equipment for his business, bill made a down payment of and took out a business loan for the rest. after years of paying monthly payments of , he finally paid off the loan. (a) what was the total amount bill ended up paying for the equipment (including the down payment and monthly payments)? (b) how much interest did bill pay on the loan?
(a) The total amount Bill ended up paying for the equipment, including the down payment and monthly payments, can be calculated by adding the down payment to the total amount paid through monthly payments over the years.
(b) To determine the amount of interest Bill paid on the loan, we need to subtract the initial loan amount (rest of the equipment cost after the down payment) from the total amount paid.
(a) The total amount Bill ended up paying for the equipment can be obtained by adding the down payment to the total amount paid through monthly payments. The down payment represents the initial contribution made towards the purchase, while the monthly payments gradually cover the remaining cost of the equipment over the years. By summing up these two amounts, we obtain the total amount paid by Bill for the lab equipment.
(b) To calculate the amount of interest Bill paid on the loan, we need to subtract the initial loan amount from the total amount paid. The initial loan amount corresponds to the cost of the equipment minus the down payment. This represents the principal amount that Bill borrowed to finance the purchase. By subtracting the principal amount from the total amount paid, we can determine the interest paid on the loan.
It's important to note that the specific values for the down payment, loan amount, and monthly payments are not provided in the question. To obtain the exact total amount paid and the interest paid, these values would need to be known or provided.
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NEED HELP NOW PLEASE!!!! D;
A student answered 72 problems on a test correctly and received a grade 83%. How many problems were on the test, if all the problems were worth the same number of points? (Round to the nearest whole number)
Answer:
There were 86 problems on the test.
Step-by-step explanation:
72/87 = y/100
You use cross multiplication to solve. When you do this, you get the answer 86.75 problems, but since you can't have .75 of a problem, the answer is 86.
can anyone please help me with this???
Answer:
x=8a
Step-by-step explanation:
(3/a) x - 4 = 20
add 4 to both sides
(3/a) x = 24
Divide by 3/a
x = 24 / (3/a)
Use KCF (keep change flip)
x = (24/1) x (a/3)
x = 24a / 3
simplify
x = 8a
a circle is inscribed in a triangle with side lengths 8, 138,13, and 1717. let the segments of the side of length 88, made by a point of tangency, be rr and ss, with r
The ratio of \(r:s = 1:3\).
Label our triangle ABC where,
AB=17, AC=13, and BC=8.
Let L, J, and K be the tangency points of BC, AC, and AB respectively.
Let \(AK=x\), which implies \(AJ=x\). Thus \(KB=BL=17-x\) and \(JC=LC=13-x\)
\(\because BL+LC = (17-x)+(13-x) = 8 & x = 11\)
\(\therefore r:s = CL:BL = 13-x:17-x = 2:6\)
\(\text{Hence, } r:s = 1:3\)
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Find the lengths of segments AB and BD.
AB = units
BD = units
Answer:
BD = 2.4 units
AB = 4 units
Step-by-step explanation:
using the Pythagorean theorem:
3²-1.8² = BD²
BD² = 5.76
BD = 2.4
2.4²+3.2² = AB²
AB² = 16
AB = 4
This has to be determined by pythagorian theorem. Hence the value of AB= 4 units and BD= 2.4 units.
Given: AD = 3.2 units
BC = 3 units
CD = 1.8 units
Find : AB =? units
BD=? units
As we know that ,
By the formula of pythagorian theorem,
Let be a ΔABC,
\(\bold{(AB)^{2} = (BC)^{2} +(AC)^{2}}\)
From the above formula now determined the value of AB and BD,
Firstly , find the value of BD
In ΔBDC, by applying pythagaorian theorem,
\(\bold{(BC)^{2} = (BD)^{2} +(DC)^{2}}\) ...(1)
Here, BC = 3 units and CD = 1.8 units
Now put the values of BC and CD in (1),
\(\begin{aligned}(3)^{2} &=(BD)^{2}+(1.8)^{2}\\9&=(BD)^{2}+3.24\\9-3.24&=(BD)^{2}\\5.76&=(BD)^{2}\\\sqrt{5.76} &=BD\\\bold{BD&= 2.4}\:units\end{aligned}\) ...(2)
Now find the value of AB,
In ΔABD, by applying pythagorian theorem,
\(\bold{(AB)^{2}=(AD)^{2} + (BD)^{2} }\) ...(3)
Here, AD=3.2 and from (2) BD=2.4
By putting values in (3) ,
\(\begin{aligned}(3.2)^{2} +(2.4)^{2}&=(AB)^{2}\\10.24+5.76&=(AB)^{2}\\16&=(AB)^{2}\\\sqrt{16} &=AB\\\bold{AB&= 4}\:units\end{aligned}\)
Therefore,the values of AB=4 units and BD= 2.4 units.
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f(x) = 3x2 - 3x + 1 3х 1 Find f(-2)
Answer:
Assuming f(x) = 3x^2 - 3x + 1, f(-2) is 16.
Step-by-step explanation:
Check answer.
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When President Dwight Eisenhower ordered the Arkansas National Guard into service to enforce court orders to desegregate schools, it was an example of a. executive orders. b. political mandate. c. gerrymandering. d. cloture. e. filibustering.
When President Dwight Eisenhower ordered the Arkansas National Guard into service to enforce court orders to desegregate schools, it was an example of a) executive orders.
Executive orders are directives issued by the President of the United States that have the force of law. They are used to manage and govern the operations of the federal government. In this case, President Eisenhower used his executive authority to deploy the Arkansas National Guard to enforce the desegregation of schools as mandated by the courts.
The Supreme Court's landmark decision in Brown v. Board of Education in 1954 declared that segregation in public schools was unconstitutional. However, resistance to desegregation persisted in some areas of the country, including Arkansas. To ensure compliance with the court's ruling, President Eisenhower exercised his executive power and deployed the National Guard to Little Rock, Arkansas, to protect and enforce the rights of African American students seeking to attend previously all-white schools.
Therefore, President Eisenhower's action of ordering the Arkansas National Guard to enforce court orders to desegregate schools falls under the category of a) executive orders, as he used his executive authority to implement a policy decision.
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determine the period of this function
Explanation:
The function is somewhat sinusoidal but not entirely. Its composed of piecewise line segments when we should have a single continuous smooth curve; however, it's still periodic since it repeats itself.
Let's start at the top at the left most corner. This point has x coordinate of x = 1.
The other endpoint of this top left flat portion is when x = 2. Then the function curve goes downhill until it reaches x = 4. From x = 4 to x = 5, we're at the flat bottom part. From x = 5 to x = 7 is when the function increases.
Once we get to x = 7, the process described earlier starts all over again. So this is when the cycle ends and the length of the period is 7-1 = 6 units. The function repeats itself every 6 units, or you can say the length of each cycle is 6 time units (eg: 6 seconds).
help me please!!!!!!!!!!!!!!!
Answer:
12 20 15
Step-by-step explanation:
Step-by-step explanation:
The answer of this question is 12, 15, 20 .
justify all steps 9x+31=-23+3x
Answer:
x=-9
Step-by-step explanation:
To solve for x you should isolate the variable. Do this by adding, subtracting, and dividing terms from both sides. This is done by using the properties of equality.
1) First, subtract 3x from both sides, so that there is only one variable. You can do this using the subtraction property of equality.
6x+31=-232) Next, subtract 31 from both sides to further isolate the variable. This also works through the subtraction property of equality.
6x=-543) Finally, divide both sides by 6 to get the final answer. This is allowed through the division property of equality.
x=-9Morgan worked for three weeks during the summer earning money
on Mondays, Tuesdays, Wednesdays, Thursdays and Fridays. The
following matrix represents his earnings.
24 22 32
25 28 30
30 28 32
10 15 19
35 32 30
How much money did Morgan make in the first week?
The amount of money that Morgan was able to make in the first week would be $ 124
How to find the earnings with matrices ?Matrices are mathematical objects which have a rectangular array of numbers, symbols, or expressions laid out in rows and columns. Each element is identified by its row and column location inside the matrix.
The columns have five entries which means that this must be the amount earned per day of a week. The first week earnings would therefore be:
= 24 + 25 + 30 + 10 + 35
= $ 124
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What is the volume of a cone with a radius of 4 in and a height of 1 ft?
50.24 cubic in
603.19 cubic in
16.7 cubic in
200.96 cubic in
Answer:
Step-by-step explanation:
16.76FT^3
What do you notice when you compare the answers of problems 11-13 and
14-16?
Answer:
they're both two units apart
Step-by-step explanation:
If you know the length of an object in centimeters, how can you
figure out the length of the object in millimeters without re measuring
Answer:
There are 10 mm in a cm so if u have let's say 5 cm than u would have 50mm
2.) Olivia is borrowing $60 from her brother at 10% monthly interest. The
interest is to be compounded every month, and her only repayment
will be in full after 3 months. About how much will Olivia pay in
interest?
Answer:
18 dollars
Step-by-step explanation:
well my teacher tought me to use something called a proportian box when you multiply the 60 * 210 equals 600 divided by 100 equals that 6 dollars of the interest then you multiply by 3 months with gives you 18 dollars in total
hope this helps
Write a fraction in which the numerator and denominator are both greater than 19. Then write the fraction in simplest form.
Answer:
Remember that a number divided by itself is 1. That means if the numerator and denominator are the same, the fraction is equal to 1. So all of the following are equal to 1: 2/2, 3/3, 4/4, and so on.
Step-by-step explanation:
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for which part of the engineering process would the use of statistics to analyze data about drug tests
The application of statistics in drug testing involves various techniques such as hypothesis testing, confidence intervals, regression analysis, analysis of variance (ANOVA), and other statistical models.
In use of statistics in analyzing data about drug tests is an integral part of the engineering process, particularly in pharmaceutical engineering, enabling evidence-based decision-making and enhancing the quality
The use of statistics to analyze data about drug tests falls within the realm of data analysis and interpretation, which is an important part of the engineering process. More specifically, it is commonly associated with the field of pharmaceutical engineering or pharmaceutical development.
These methods help to assess the significance of the observed data, identify patterns, evaluate the impact of variables, and draw conclusions from the experimental results.
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