Answer:
$38,000 is correct
Step-by-step explanation:
just took it
The z value is 1.875.
To compare Rob's salary as an engineer to the mean salary for engineers with less than 5 years of experience, we need to find the z-score of Rob's salary.
The z-score formula is
z = (x - μ) / σ,
where x is the given value,
μ is the mean, and
σ is the standard deviation.
Plugging in the values, we get z = (50,000 - 60,000) / 5,000 = -2.
For Rachel's salary as an executive in the retail industry, we use the same process.
The z-score formula is z = (x - μ) / σ, where x is the given value, μ is the mean, and σ is the standard deviation.
Plugging in the values, we get z = (50,000 - 35,000) / 8,000 = 1.875.
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A support wire is tied diagonally from the middle of a tree to a stake on the ground. The length of the wire is 10 ft and the angle of
elevation from the stake is 55". Approximately how high on the tree is the connection point of the wire?
Answer:
8.2 ft
.Step-by-step explanation:
Sketch this situation. Label the 55° angle. The adjacent side is the distance from the stake to the bottom center of the tree. The opposite side is the distance from the ground to the connection point of the wire on the tree. The wire length represents the hypotenuse of this triangle. We want to find the length of the side opposite the 55° angle. Thus, we write
sin 55° = (opposite side)/(hypotenuse), or
(hypotenuse)(sin 55°) = (10 ft)(0.819) = 8.2 ft
Using trigonometry and the sine function, we can calculate the height of the tree as 10 ft * sin(55), which equals approximately 8.19 ft.
Explanation:This problem can be solved using trigonometry, specifically the sine function. In a right triangle, the sine of an angle is defined as the length of the opposite side divided by the length of the hypotenuse. In this case, the tree forms the opposite side of our triangle, the support wire forms the hypotenuse and the angle of elevation is 55 degrees.
To express this mathematically, we can write: sin(55) = height / 10 ft. Solving this equation for height gives us: height = 10 ft * sin(55). Using a calculator, we find that sin(55) is approximately 0.81915, so the height is around 8.19 ft. Therefore, the connection point of the wire to the tree is at approximately 8.19 ft high.
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NEED IT QUICK! THANK YOU At the start of an experiment, the temperature of a solution was Negative 12 degrees Celsius. During the experiment, the temperature of the solution rose 5 degrees Celsius each hour for 4 hours. Then the temperature changed by Negative 3 degrees Celsius and remained steady. What was the final temperature of the solution?
Negative 11 degrees Celsius
5 degrees Celsius
Negative 5 degrees Celsius
11 degrees Celsius
Answer:
5 degrees Celsius
Step-by-step explanation:
initial temperature = -12°C
temperature after 4 hours = -12°C + 4(5°C)
= -12°C + 20°C
= 8°C
final temperature = 8°C - 3°C
=5°C
Answer:
5 degrees celsius
Step-by-step explanation:
C
Which of the following is NOT true when testing a claim about a proportion? Choose the correct answer below. A. Both the traditional method and P-value method use the same standard deviation based on the claimed proportion p, but the confidence interval uses an estimated standard deviation based on the sample proportion ModifyingAbove p with caretp. B. When testing claims about population proportions, the traditional method and the P-value method are equivalent in the sense that they always yield the same result. C. A conclusion based on a confidence interval estimate will be the same as a conclusion based on a hypothesis test. D. If you want to test a claim about population proportions, use the P-value method or the classical method of hypothesis testing.
Answer: C. A conclusion based on a confidence interval estimate will be the same as a conclusion based on a hypothesis test.
Explanation: The One-Sample Proportion Test is used to assess whether a population proportion (P1) is significantly different from a hypothesized value (P0). This procedure calculates sample size and statistical power for testing a single proportion using either the exact test or other approximate z-tests.
To write a null hypothesis, first, start by asking a question. Rephrase that question in a form that assumes no relationship between the variables. In other words, assume a treatment has no effect. Write your hypothesis in a way that reflects this.
A null hypothesis is a hypothesis that says there is no statistical significance between the two variables. It is usually the hypothesis a researcher or experimenter will try to disprove or discredit. An alternative hypothesis is one that states there is a statistically significant relationship between two variables.
Suppose the number of bacteria in a certain population increases according to a continuous exponential growth model. a sample of 2200 bacteria selected from the population reached the size 2300 bacteria in one and a half hours. Find the hourly growth rate parameter.
The hourly growth rate is 2%
An exponential growth is in the form:
y = abˣ;
where y, x are variables, a is the initial value of y and b > 1
Let y represent the number of bacteria after x hours.
There was initially 2200 bacteria, hence a = 2200. The equation becomes:
[tex]y=2200(b)^x\\\\\\After\ 1.5\ hours,y=2300:\\\\\\2300=2200(b)^{1.5}\\\\\\b^{1.5}=1.045\\\\1.5lnb=ln(1.045)\\\\ln(b)=0.0296\\\\b=1.02[/tex]
Therefore the hourly growth rate is 1.02 - 1 = 0.02 = 2%
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PLEASE HURRY DOUBLE POINTS+BRAINLY my question is in the picture
Answer:
(6, - 5)
Step-by-step explanation:
The equation of circle in centre radius form is:
[tex](x - h)^{2} + (y - k)^{2} = {r}^{2} \\ plugging \: h = 3 \: \: k = - 9 \: and \: r = 5 \\ (x - 3)^{2} + \{y - ( - 9) \}^{2} = {5}^{2} \\ (x - 3)^{2} + (y + 9)^{2} = 25 \\ let \: us \: plug \: x = 6 \: and \: y = - 5 \: in \: lhs \\ lhs = (6 - 3) ^{2} + ( - 5 + 9) ^{2} \\ = (3) ^{2} + ( 4) ^{2} \\ = 9 + 16 \\ = 25 \\ = rhs \\ hence \: (6, \: \: - 5) \: is \: on \: the \: circle.[/tex]
Answer:
Answer is option b) (6,-5)
Step-by-step explanation:
[tex]given \: that \: \\ centr e\: of \: circle \: is(3, - 9) \\ and \: radius \: is \: 5 \\ when \: \: we \: calculate \: the \: distance \: between \: (3, - 9) \: and \: (6, - 5) \\ distance \: = \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } \\ here \: x1 = 3 \: \: y1 = - 9 \\ x2 = 6 \: \: \: \: y2 = - 5 \\ on \: substituting \: the \: values \\ = \sqrt{(3 - 6) + {( - 9 + 5)}^{2} }^{2 } \\ = \sqrt{ { - 3}^{2} + { - 4}^{2} } \\ = \\ = \sqrt{9 + 16} \\ = \sqrt{25} \\ = 5[/tex]
(6 -5) is a point on the circle.
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
Anyone care to help? :)
An initial population of 2 bunnies each has 6 babies per month. Using x for months and y for the number of bunnies, write the equation that models this situation.
Answer:
x = 3y
Step-by-step explanation:
In this question, we are asked to model an equation that clearly mimics what we have in the question using certain type of variables.
Now initially, we are told that we have 2 bunnies having 6 babies. what does this tell us?
Looking at this, we can see that the number of babies is exactly 3 times the number of bunnies. More like saying 3 times the number of bunnies equal the number of babies.
so leveraging in this finding and applying the variable, we can say each of the 2 bunnies has 3 babies per month.
Mathematically, this is same as x bunnies = 3y babies per month
Chris is an appliance repairman. He charges $80 to come out and $60 per hour, thereafter. a) Using h for the number of hours and C for his total cost to his customer, state an equation describing this situation.
Answer:
$80 + $60h =C
Step-by-step explanation:
$80 is the amount charged to come out
$60 times h (h is the number of hours)
add them together for total cost
The equation C = 80 + 60h describes Chris's total cost.
Independent variable: Hours of work, represented by h.
Dependent variable: Total cost, represented by C.
Equation: C = 80 + 60h
Y-intercept: $80, as it is the initial charge when no hours are worked.
Slope: $60 per hour, indicating the rate at which the cost increases per hour of work.
Darcia made a snack mix using the following recipe.
1 ¼ cups granola, ¾ cup peanuts, ½ cup raisins, ¼ cup chocolate chips. If she used 3 cups of granola and wanted to keep the ingredients proportional, how much would she use of each of the other ingredients. Write your answer as a fraction in simplest form. Use / for the fraction bar.
cup(s) peanuts
cup(s) raisins
cup(s) chocolate chips
Answer:
1 4/5 = peanuts
1 1/5 = raisins
3/5 = chocolate chips
Step-by-step explanation:
3 ÷ 1 1/4 = 2 2/5
2 2/5 × 3/4 = 1 4/5
2 2/5 × 1/2 = 1 1/5
2 2/5 × 1/4 = 3/5
To keep proportions with 3 cups of granola, Darcia would need 1 ½ cups of peanuts, 1 ¼ cups of raisins, and 3/5 cup of chocolate chips in her snack mix.
Explanation:Darcia has increased her granola measurement to 3 cups, which is 2.4 times more than the original 1 ¼ cups used in the snack mix recipe (since 3 ÷ 1.25 equals 2.4). To keep the other ingredients proportional to the new quantity, we need to multiply their original amounts by the same factor of 2.4
Therefore, if she used 3 cups of granola, she would use 1 ½ cups of peanuts, 1 ¼ cups of raisins, and 3/5 cup of chocolate chips to maintain the proportions in her snack mix.
Which student solved the equation 107 d = 1,733.4 correctly?
Answer: Sammi's work:
107d=1,773.4
1773.4 divided by 107 = 16.2
Step-by-step explanation:
The value of d for the given expression will be d = 16.2.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.
Given that the expression is 107d = 1,733.4. The value of d will be calculated as:-
107d=1,773.4
To calculate the value of d the number 1773.4 is divided by 107.
107d=1,773.4
d = 1,773.4 / 107
d = 16.2
Hence, the value of d will be 16.2.
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I need help please!! Thanks
Answer:
if I'm correct it's 22 don't quote me on it
Answer:
Surface area = 942.688
Solve the following system of equations (ASAP please)
Answer:
The answer to your question is the letter A. (4, -8) and (1, -5)
Step-by-step explanation:
Data
x + y = -4 Equation l
y = x² - 6x Equation ll
Process
1.- Substitute equation ll in equation l
x + x² - 6x = -4
2.- Solve the quadratic equation
x² - 5x + 4 = 0
Factor (x - 4)(x - 1) = 0
-Solve for x
x₁ - 4 = 0 x₂ - 1 = 0
x₁ = 4 x ₂ = 1
3.- Substitute x₁ and x₂ in equation l
4 + y₁ = -4 1 + y₂ = -4
y₁ = -4 - 4 y₂ = -4 - 1
y₁ = -8 y₂ = -5
4.- Solutions
(4, -8) and (1, -5)
What is the probability of a rolling a sum of 10 when rolling two number cubes
Answer:
[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
There are 36 total possible combinations with 2 number cubes. Only 3 of these combinations add up to 10 (4 and 6, 5 and 5, 6 and 4).
[tex]\frac{3}{36} =\frac{1}{12}[/tex], so the probability is [tex]\frac{1}{12}[/tex].
Answer:
1/12
Step-by-step explanation:
1. Walter stopped at the grocery store and
purchased the items on the list below. The
sales tax on the items was 6.25%. How
much did Walter spend at the grocery
store?
Item
Price
Soup
$1.99
Oranges
$3.49
Newspaper
$2.50
Answer:
$8.48
Step-by-step explanation:
Total of Items:
Add up the prices of all the items he bought
soup+oranges+newspaper
1.99+3.49+2.50=7.98
$7.98
Sales Tax:
Multiply his total by the sales tax rate
7.98*6.25%
Convert 6.25% to a decimal
6.25/100=0.0625
7.98*0.0625=0.49875
0.49875
Total With Tax
Add the tax to his total without tax
7.98+0.49875=8.47875
Round to the nearest cent, or hundreth
$8.48
96 is what percent of 60?
and please show your work thank you very much
Answer:
57.6
Step-by-step explanation:
60 x 0.96 = 57.6
hope this helps
What was the temperature 1 hour ago
Answer:
it depends what country you are referring to
In order to find a place's temperature, you have to have the continent and the place you are looking for. Temperatures are different every hour. Hope this helps! Stay safe and have a great day!
- Dhruva :)
A cylindrical 2014-t6 aluminum alloy bar is subjected to compression-tension stress cycling along its axis; results of these tests are shown in fig. 1. if the bar diameter is 12.0 mm, calculate the maximum allowable load amplitude (in newtons) to ensure that fatigue failure will not occur at 107 cycles.
Complete part of Question:
Assume a factor of safety of 3.0
The Maximum stress versus logarithm of the number of cycles to fatigue failure curve for 2014-T6 Aluminium bar is attached to this solution
Answer:
The maximum allowable load amplitude is 6403.33 N
Step-by-step explanation:
diameter of the bar, d = 12 mm
d = 0.012 m
Cross sectional area of the bar, A = πd²/4
A = π*0.012²/4
A = 0.000113 m²
From the Maximum stress versus logarithm of the number of cycles to fatigue failure for 2014-T6 Aluminium bar attached to this solution;
At 10⁷ cycles, Maximum stress, S = 170 MPa
S = 170 * 10⁶ Pa
Factor of safety, N = 3.0
The tensile stress is given by the formula:
[tex]\sigma = S/N\\\sigma = \frac{170 * 10^{6} }{3} \\\sigma = 56.67 * 10^{6} N/m^{2}[/tex]
The tensile stress is also given by:
[tex]\sigma = F/A\\\sigma = F/0.000113[/tex]
F/0.000113 = 56.67 * 10⁶
F = 56.67 * 10⁶ * 0.000113
F = 6403.33 N
The maximum allowable load amplitude is 6403.33 N
Answer:
The maximum allowable load amplitude is 6408.85 Newtons
Step-by-step explanation:
Assume a factor of safety N = 3.0
From the graph attached, the maximum stress the cylindrical 2014-t6 aluminum alloy bar is subjected to is S = 170MPa
diameter d = 12.0 mm = 12*10^-3 m
area A
S = F/A
But A = (Π* d²)/4
S = 4F/(Π*d²)
By incorporating factor of safety N
S/N = 4F/(Π*d²)
F = SΠd²/4N
F = {170*10^6 *Π *(12*10^-3)}/4*3.0
F = 76906.19/12 = 6408.85 Newtons
Pls find the solution in the attached file for more explanation.
Between which two whole numbers is
√12?
Answer:
It lies between three and four.
Step-by-step explanation:
Answer:
First, find the square root of 12
√12=3.46410161514
Whole numbers are: 0,1,2,3,4,5...
So, the 2 whole numbers √12 lies between are 3 and 4
Write a quadratic function f whose zeros are 4 and -5
Answer:
x^2+x-20
Step-by-step explanation:
x = 4
x - 4 = 0
x = -5
x + 5 = -5
(x + 5)(x - 4)
x^2+x-20
The quadratic function with zeros 4 and -5 is f(x) = x² + x - 20.
To write a quadratic function f(x) whose zeros are 4 and -5, we can use the fact that the zeros of a quadratic function correspond to the values of x that make the function equal to zero.
A quadratic function can be represented in the form:
f(x) = a(x - r1)(x - r2)
where r1 and r2 are the zeros of the function.
Given zeros are 4 and -5. Substituting these into the formula, we get:
f(x) = a(x - 4)(x + 5)
Expanding this, we obtain:
f(x) = a(x² + x - 20)
To simplify, we can choose a value for a, usually 1 for simplicity:
f(x) = x² + x - 20
This is the quadratic function with zeros at 4 and -5.
activating prior knowledge what is a factor
Step-by-step explanation:
A factor is the number in a multiplication problem.
Rae and Doris are training to swim a 200-meter freestyle race. The table lists their practice times during training camp.
Rae’s Times(minutes)-2.12, 2.01, 2.46, 2, 2.22, 2.31, 2.23
doris times(minutes)-2.32, 2.19, 2.26, 2.03,
The median of Raes data is(drop down box answers, 2,2.03,2.14,2.22)minutes,and the median of doris data is(drop down box answers, 2,2.03,2.14,2.22)minutes. The interquartile range for rae is(drop down box answers, 0.01,0.13,0.26,0.30), and the interquartile range for doris is(drop down box answers, 0.02,0.06,0.18,0.19). The two data sets overlap(drop down box answers,very little, a lot).
Im wondering what are the answers for the drop down boxes,
and this based on statistics.
Answer:
24 boxes to drop down
Step-by-step explanation:
Answer:
I think
1st box:2.22
2nd box:2.14
3rd box:0.30
4th box:0.19
And the last one I’m not sure I just guessed ♂️
Step-by-step explanation:
Kerry writes a list of all the integers from 1 to n on a whiteboard. She uses the digit 0 five times and the digit 9 six times. What is the value of n?
The value of the number 'n' that has the digit 0 five times and the digit 9 six times will be 59.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Range of the number Times of '0' Time of '9'
1 - 9 0 1
10 - 19 1 1
20 - 29 1 1
30 - 39 1 1
40 - 49 1 1
50 - 59 1 1
Total 5 6
Then the value of the number 'n' that has the digit 0 five times and the digit 9 six times will be 59.
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Please use the following image below in order to answer the question:
Find the value of x.
What is the value of X?
Please show all of the work on how you got your answer. (Note: If you can't explain your work then that's completely fine. All I am asking for is the work shown with your answer)
Answer:
x = 11
Step-by-step explanation:
Consider the attached drawing. The central angle at C has the same measure as the arc: 125°. XYCZ is a quadrilateral, so has a sum of interior angles that is 360°. The interior angles are tangent points Y and Z are both 90°, so the remaining two angles are supplementary.
That is ...
(6x -11)° +125° = 180°
6x = 66 . . . . . . subtract 114
x = 11 . . . . . . . . .divide by 6
__
So, the things you need to know about this geometry are ...
tangents are 90° to the radius at the tangent pointthe sum of angles in a quadrilateral is 360°the measure of an arc is the same as that of its central angleIn short: the angle at X and the arc YZ are supplementary: they have a sum of 180°.
Answer:
11
Step-by-step explanation:
6x - 11 + 125 = 180
6x = 66
x = 11°
Which of the following statements about a variable are true?
A variable cannot be subtracted.
A variable is represented by a letter.
A variable represents a quantity.
A variable cannot be multiplied.
Answer:
option b and c are true ...
Consider the plot created from the residuals of a line of best fit for a set of data. A graph shows both axes unnumbered. Points show a downward trend. Does the residual plot show that the line of best fit is appropriate for the data? Yes, the points have no pattern. Yes, the points are evenly distributed about the x-axis. No, the points are in a linear pattern. No, the points are in a curved pattern.
Answer:
No, linear
Step-by-step explanation:
It's negative linear pattern
Answer: A. Yes, the points have no pattern.
Step-by-step explanation: Correct on edge2020, C linear is wrong trust me I did the Unit Test Review.
after how many places the decimal expansion of 13497/1250 will terminate
Answer:
4
Step-by-step explanation:
13497/1250
12500 + 997/1250
12500 + 0.7976
12500.7976
Answer:
4 places of decimals.
Step-by-step explanation:
13497.1250 = 10.7976.
What is the degree measure of x?
Answer:
134 degrees
Step-by-step explanation:
Because all triangles add up to 180 degrees, the missing degree inside the triangle would be 46 degrees. The 46 degrees are the missing side for the line and since all lines equal 180 degrees, 180 - 46 = 134
Company Mailing Of a company's mailings 1.5% are returned because of incorrect or incomplete addresses. In a mailing of 200 pieces, find the probability that none will be returned
Answer:
0.0487 = 4.87%
Step-by-step explanation:
The probability of one mail being returned is 1.5% = 0.015, so the probability of the mail not being returned is 1 - 0.015 = 0.985. If we want 0 mails returned from a total of 200 mails, we have 0 mails returned (probabilitity of 0.015) and 200 mails not returned (probability of 0.985), then the final probability is calculated as follows:
Probability = (0.985)^200 * (0.015)^0 = 0.0487 = 4.87%
To find the probability that none of the 200 mailings will be returned because of incorrect or incomplete addresses, we can calculate the probability of an individual mailing not being returned and multiply it by itself 200 times.
Explanation:To find the probability that none of the 200 mailings will be returned, we need to calculate the probability that each individual mailing is not returned. Given that 1.5% of mailings are returned, the probability of an individual mailing not being returned is 1 - 0.015 = 0.985. We can then find the probability that none of the mailings are returned by multiplying this probability by itself 200 times.
P(no mailings returned) = (0.985)200
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does 2,3,4 from a right triangle?
Someone answer urgent and if so I will mark brainliest
Answer:
(x, y) is transformed into (y, -x)
This is the last option (option I) in the list of possible answers.
Step-by-step explanation:
Notice the transformation in the point you picked: (-6,4), which from this coordinates change into the point (4,6) after the rotation about the origin.
Notice that the value "4" which was the original "y" value of the point, now became the "x" value for the transformed point.
So so far we have: (..., y) transformed into (y, ...)
now,notice that the value "-6" which was the original x=value for the point, after the transformation appeared in the new "y" position, and with the signed reversed (from -6 into +6), so it became the new x value but with opposite sign.
Then we can complete how the transformation can be represented:
(x, y) is transformed into (y, -x)
This is the last option (option I) in the list of possible answers.