Answer:
x=90 possibly
Step-by-step explanation:
3x all at 30 degrees. but not posative so please check elsewhere.
Now you try on your own.
Kelly wants to build a new wardrobe for herself with only clothing pieces she loves, fit her well, and coordinate together. She already has most of the pieces she will use, but needs to save up to go shopping for the remaining items. She has already saved some money from her job, and she decides to set aside money weekly from her tips. The expression $25w+$65
represents the amount of money Kelly will have saved after some amount of weeks. What does each part of this expression represent?
$25=
Answer
w=
Answer
$65=
Answer
For this specific expression, would it make sense to plug in a negative number for w
? Answer
For this specific expression, would you ever expect to get a number less than 65
for your total amount saved?
The Interpretatiom of the equation is that;
w represents number of weeks she will have saved for the remaining items
$25 represents the amount she saves per week
$65 represents the amount she has already saved
How to solve algebra word problems?The algebra word problem can be solved by using variables to denote certain parameters I'm the question.
The general form of equation of a line in slope intercept form is;
y = mx + c
Where;
m is slope
c is y-intercept
We are given the equation:
$25w + $65
This equation represents the amount of money Kelly will have saved after some amount of weeks.
Thus;
w represents number of weeks she will have saved for the remaining items
$25 represents the amount she saves per week
$65 represents the amount she has already saved
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84.4% of what number is 19.412?
Answer: 22.4402
Step-by-step explanation:
Answer:
84.4% of 23 is 19.412.
Step-by-step explanation:
Let the unknown number be x.
Now, 84.4% of x = 19.412.
∴ (84.4 ÷ 100) × x = 19.412.
By simplifying the equation,
x = (19.412 × 100) ÷ 84.4
x = 1941.2 ÷ 84.4
∴ x = 23
Thus, 84.4% of 23 is 19.412.
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Decide whether the rates are equivalent. Maria saves $50 in 4 months.
Ralph saves $60 in 5 months
Answer:
The rates are not equivalent since Maria saves $0.50 more per month than Ralph.
Step-by-step explanation:
We can determine if two rates are equivalent by comparing the rates at which they save per month.
Maria's savings per month:
Both 50 and 4 can be divided by 2, which gives us 25/2. As a regular number, this becomes 12.5/1 which means Maria saves $12.5 per month.
Ralph's savings per month:
Both 60 and 5 can be divided by 5, which gives us 12. Thus, Ralph saves $12 per month.
Thus, the rates are not equivalent as Maria saves $0.50 more per month than Ralph.
Divide.
20.9÷104
Enter your answer in the box.
( )
Answer:
209/1040
Step-by-step explanation:
= 20.9/1040
= 209/1040 / 0.200961
What is the quotient of 5/6 divided 2/12
Answer: 60/12 or 5
Step-by-step explanation: Find the reciprical of 2/12. That is 12/2. Then, multiply 5/6 and 12/2. 12x5 is 60 and 6x2 is 12.
Petra has a second larger box that is 6 inches by 8 inches by 4 inches. How many times larger is the volume of this second box? The surface area?
Answer:
volume is 8 times larger and surface area is about 2.7 times larger
Step-by-step explanation:
a)24 in³ b) 76 in² c) volume is 8 times larger and surface area is about 2.7 times larger.
What is 19.5 / 3 = decimal division
Answer:
6.5
Step-by-step explanation:
19.5 divided by 3 is 6.5
if you want to double check, you can multiply 3 by 6.5 and find it is 19.5
A triangle has sides with lengths 8, 15, and 17.
a. Verify this is a Pythagorean triple.
Type your response in the space below.
b. Approximate the acute angles in this triangle. Round each angle to the nearest degree.
Type the answers in the boxes below.
The values 8, 15 and 17 is a Pythagorean triple and therefore a right angle triangle.
What is Pythagoras TripleA Pythagorean triple is a set of three positive integers, a, b, and c, such that a^2 + b^2 = c^2, which represents the sides of a right-angled triangle, where c is the hypotenuse.
In this problem, we can we can check if the values are for a right angle triangle.
Assuming this is a right angle triangle which obeys Pythagoras theorem, the longest side will be the hypothenuse.
c = hypothenuse = 17a = leg = 15b = 8c² = a² + b²
17² = 15² + 8²
289 = 225 + 64
289 = 289
From the calculation above, the values of is a Pythagorean triple.
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Jessica drove for 6 hours at 51 mph. How far did Jessica drive?
Answer:
306 miles
Step-by-step explanation:
6 x 51
Answer:
162.5 miles
Step-by-step explanation:
hope this helps :)
Charles is eight years older than five times Mark's age. If Charles is 63 years old, how old is Mark?
Answer:
21
Step-by-step explanation:
Answer: 11
Step-by-step explanation:
11x 5 is 55. 55 plus 8 is 63
please help me with this question! I am lost
We can see here that x will be = 123.4°.
What is a polygon?A polygon is actually known to be a two-dimensional geometric shape. It is a shape that is known to be defined by a closed path. It consists of finite sequence of straight line segments.
The segments are actually known as sides or edges and which are connected at vertices or corners.
Looking at the shape, we see that the regular pentagon and heptagon are joined together on one side.
Thus, exterior angle of a regular pentagon (5 sides) = 360°/5 = 72°.
The exterior angle of a regular heptagon (7 sides) = 360°/7 = 51.4°
Thus, x° = 72° + 51.4° = 123.4°
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A random sample of 40 collision claims of 30 to 49 year old drivers results in a mean claim of $3669 with a standard deviation of $2029. Another random sample of 40 collision claims of 20 to 29 year old drivers results in a mean claim of $4586 with a standard deviation of $2302. Is there evidence that 20 to 29 year old drivers have a higher mean accident claim? (Let population 1 be 20-to-29 yr old drivers and population 2 be the 30 to 49 year old drivers.) Calculate the appropriate test-statistic. Round your answer to 2 decimal places.
The appropriate test statistic is approximately 1.89.
To determine if there is evidence that 20 to 29-year-old drivers have a higher mean accident claim compared to 30 to 49-year-old drivers, we can perform a two-sample t-test.
The test statistic can be calculated using the following formula:
\(t = (mean1 - mean2) / \sqrt{(s1^2 / n1) + (s2^2 / n2)}\)
where:
mean1 and mean2 are the sample means of the two populations,
s1 and s2 are the sample standard deviations of the two populations,
n1 and n2 are the sample sizes of the two populations,
Given the following information:
For population 1 (20 to 29-year-old drivers):
Sample mean (mean1) = $4586
Sample standard deviation (s1) = $2302
Sample size (n1) = 40
For population 2 (30 to 49-year-old drivers):
Sample mean (mean2) = $3669
Sample standard deviation (s2) = $2029
Sample size (n2) = 40
Calculate the test statistic (t):
\(t = (4586 - 3669) /\sqrt{ (2302^2 / 40) + (2029^2 / 40))\)
Calculating this expression:
t ≈ 917 / √(132360.1 + 102996.025)
t ≈ 917 / √(235356.125)
t ≈ 917 / 485.086
t ≈ 1.89
Therefore, the appropriate test statistic is approximately 1.89.
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Question 1 options: James is observing the population of the fish he put into a pond. He built a pond and populated it with 900 fish. The population of the fish doubles every year.
The equation by using x represent the number of years and y represent the number of fish is y=900×(2)ˣ.
Given that,
James is keeping an eye on the fish population in the pond he created. He constructed a pond and added 900 fish to it. Every year, the fish population doubles.
We have to find the equation by using x represent the number of years and y represent the number of fish.
We know that,
We get
Number of fish at starting =900
Number of fish after 1 year =900×2=1800
Number of fish after 2 year =1800×2=3600=900×(2)²
Number of fish after 3 year =3600×2=7200=900×(2)³
So,
Here we can see that the number of fish are in Geometric progression (G.P) with a=900 and r=2
So,
Tₙ=arⁿ⁻¹
We get
y=900×(2)ˣ
Therefore, The equation by using x represent the number of years and y represent the number of fish is y=900×(2)ˣ.
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The points on the graph represent both an exponential function and a linear function.
Complete this table by reading the values from the graph. Estimate any function values that are less than one.
x -3 -2 -1 0 1 2 3
Exponential function _____ _____ _____ _____ _____ _____ _____
Linear function _____ _____ _____ _____ _____ _____ _____
At approximately what values of x do both the linear and exponential functions have the same value for y?
We are given two curves on a graph paper and we have to find the y values for the given x.
From the graph we can check for a value of x, what is the value of y from the curve.
x -3 -2 -1 0 1 2 3
Exp 8 4 2 1 0.5 0.25 0.125
Lin. 7.5 6 4.5 3 1.5 0 -1.5
We find that the two have the same values where the two curves intersect.
From the graph we find that near to -3 and near to 2 both have the same values.
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The missing graph is attached below.
Sketch the region bounded by the curves, and visually estimate the location of the centroid. Then find the exact coordi nates of the centroid. y=2x, y=0, x=1
Answer:
coordinates of the centroid = \((\frac{2}{3} , \frac{2}{3} )\)
Step-by-step explanation:
The curves to be plotted are : y =2x, y = 0, x =1
The coordinates of the centroid ( visually estimated ) can be found by first calculating the area of the region
A = \(\int\limits^1_0 {2x} \, dx\) = 2\((\frac{x^2}{2} )\) hence A = 1
attached below is the remaining part of the solution
New flowers are being planted in an empty area of a landscaped garden. The
map shows the area that is being planted. If walkway A and walkway B are
parallel, what is the distance from F to G on walkway C?
The distance from F to G on walkway C is approximately 19.21 units.
To determine the distance from point F to point G on walkway C, we can use the information provided in the map and apply some basic geometric principles.
Looking at the map, we can see that walkway A and walkway B are parallel. Let's use this information to find the distance from F to G on walkway C.
First, let's identify the relevant points on the map. We have point F on walkway C and point G on walkway C. The map also shows two intersecting lines, representing walkways A and B, but we don't need to consider those for this particular calculation.
To find the distance from F to G on walkway C, we need to focus on the segment of walkway C that connects F and G. Based on the map, we can see that the segment of walkway C is perpendicular to both walkway A and walkway B.
Since walkway A and walkway B are parallel, and the segment of walkway C is perpendicular to both, we can conclude that the segment FG forms a right triangle with walkway A and walkway B.
In a right triangle, we can use the Pythagorean theorem to find the length of one side (FG) if we know the lengths of the other two sides.
Let's assume the length of the segment FG is represented by the variable 'd' (which we need to find).
From the map, we can see that the distance from F to walkway A is 15 units. Similarly, the distance from G to walkway B is 12 units.
Applying the Pythagorean theorem, we have:
d^2 = 15^2 + 12^2
d^2 = 225 + 144
d^2 = 369
Taking the square root of both sides, we find:
d ≈ √369
d ≈ 19.21
As a result, it takes 19.21 units to get from F to G on walkway C.
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Which of the following assumptions is not required for the Least Squares principle to produce the line of best fit:_______.
a. the error term (e) is a normally distributed random variable
b. R-square must be greater than 1.0
c. the variance of the error term is constant
d. all of the above are correct answers
Answer:
b. R-square must be greater than 1.0
Step-by-step explanation:
For a least square regression fit, Assumptions include : Absence of heteroscedasticity, which is the variation must not occur in the variance of the error term. That is the variance between error term and each observation is consistent.
Also, Lack of correlation between observations of the error term and also between independent variables and the error term. It is highly recommended that error term be randomized and normally distributed variable.
The value of R - squared being greater Than 1 is. not an assumption of the least square principle for fitting a regression line.
Ozzie Foster deposits $2,000 at the end of each year (ordinary annuity) into an Individual Retirement
Account at Bishop Bank. The account pays 7% compounded annually. a) How much will be in the account in 25 years? b) If Ozzie had deposited the $2,000 at the beginning of each year (annuity due), how much would be in the account in 25 years?
a) When Ozzie Foster deposits $2,000 at the end of each year,
amount in account after 25 years = $126571.43
b) If Ozzie had deposited the $2,000 at the beginning of each year,
amount in account after 25 years = $135431.43
What is annuity?An annuity is a financial product that pays out a fixed stream of payments to an individual, primarily used as an income stream for retirees.
Given,
Value of each payment P = $2000
Rate of interest per period in decimal r = 7% = 0.07 per year
Number of years n = 25
a) future value of ordinary annuity
FV = P×((1+r)ⁿ−1) / r
FV = 2000×((1+0.07)²⁵−1) / 0.07
FV = 2000×((1.07)²⁵−1) / 0.07
FV = 2000×(5.43 - 1 )/ 0.07
FV = 2000×4.43/ 0.07
FV = 8860/0.07
FV = $126571.43
b) future value of annuity due
FV = (1+r)P×((1+r)ⁿ−1) / r
FV = (1+0.07) × $2000((1+0.07)²⁵ - 1)/0.07
FV = 1.07 × 2000×((1.07)²⁵−1) / 0.07
FV = 1.07 × 2000×(5.43 - 1 )/ 0.07
FV = 1.07 × 2000 × 4.43 / 0.07
FV = 2140 × 4.43 / 0.07
FV = 9480.2 / 0.07
FV = $135431.43
Hence,
a) $126571.43 is the amount in the account when Ozzie Foster deposits $2,000 at the end of each year.
b) $135431.43 is the amount in the account If Ozzie had deposited the $2,000 at the beginning of each year.
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Q1 ? Help Robert is 7 ½ years old. How many months old is he?
Answer:
Step-by-step explanation:
If Robert is 7 1/2 months old you need to multiply 7 1/2 by 12 because there are 12 months in a year.
7x12=84
1/2x12=6
6+84=90
A professor gives students a final exam for one of her statistics in psychology courses. She records grades out of 100 points, where higher scores indicate better performance. Use SPSS to estimate the standard error for this distribution of exam grades.
Answer:
The standard error for the distribution of exam grades is 1.482.
Step-by-step explanation:
The data provided is attached below.
Steps to compute the standard error of exam grades in SPSS are as follows:
Step 1:
Enter the data in a SPSS sheet
Step 2:
Go to Analyze → Descriptive Statistics → Descriptives...
A dialog box will open.
Step 3:
Move Score to the box labelled as "Variable(s)"
Step 4:
Go to options.
A dialog box will open.
Step 5:
Select all the statistics value required. Press OK.
Step 6:
Press OK.
The SPSS output is attached below.
The standard error for the distribution of exam grades is 1.482.
Xochitl is buying tacos and sodas for her friends. Each taco, t, costs $1.50 and each soda, s,
costs $2.00. Xochitl spends $39.00 total. Write an equations that models the situation.
The equations that model the situation is 1.50t + 2s = $39
What is the equation that models the situation?The total amount spent is the sum of the total cost of the tacos and the total cost of soda. The total cost of tacos is the product of the cost of one taco and the number of tacos bought. The total cost of sodas is the product of the cost of one soda and the number of sodas bought.
The mathematical operations that would be used is multiplication and addition. Addition is the process of determining the sum of two or more numbers. The sign used to represent addition is +.
Multiplication is the process of determining the product of two or more numbers. The sign used to represent multiplication is x.
Total amount Xochitl spends = total cost of tacos + total cost of sodas
Total amount Xochitl spends = (1.50 x t) + (2 x s)
39 = 1.50t + 2s
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4,238 as the sum of three different four digits numbers
Answer:
Step-by-step explanation:
Option 1: 1000 + 2000 + 1238
Option 2: 1500 + 1700 + 2038
Help please I need to pass this
Answer:
50.
Step-by-step explanation:
.
you want to buy some noodles A 6 ounce package costs $1.92 A 16 ounce package costs $5.28 A 22 ounce package costs $6.82 which package is the best buy
Given that a 6 ounce package costs $1.92,
the cost per ounce is
= $1.92/6
= $0.32
If a 16 ounce package costs $5.28 ,
the cost per ounce will be
= $5.28/16
= $0.33
Given that aA 22 ounce package costs $6.82
What are the solutions to the equation 0=|3x+3|+3
Therefore, the solutions to the equation 0 = |3x + 3| + 3 are x = -2 and x = 0.
To solve the equation 0 = |3x + 3| + 3, we need to eliminate the absolute value. Remember that the absolute value of a number is always non-negative.
First, let's isolate the absolute value term on one side of the equation:
|3x + 3| = -3
Since the absolute value cannot be negative, there are no solutions to the equation as it stands. However, if we modify the equation to make the right side positive, we can find a solution.
To eliminate the absolute value, we can rewrite the equation as two separate equations, considering both the positive and negative cases:
3x + 3 = -3
-(3x + 3) = -3
Solving equation 1:
3x + 3 = -3
3x = -6
x = -2
Solving equation 2:
-(3x + 3) = -3
-3x - 3 = -3
-3x = 0
x = 0
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choose two ancient mathematical system from egypt,babylonia,greece, and islam then discuss the contributions of these two that you believe made significant contributions to modern mathematics and people's lives today
Two ancient mathematics concepts are given as follows:
Fractions from the Egyptians.Euclidean Geometry from the Greeks.How did the Egyptians use fractions?The Egyptians used fractions extensively in their calculations and were the first civilization to develop a notation for fractions. Their notation used a symbol for the numerator placed above a symbol for the denominator, similar to our modern fraction notation.
How did the Greeks use Euclidean geometry?Euclid's Elements is one of the most influential works in the history of mathematics. It provided a systematic and rigorous approach to geometry, which has been the basis of mathematical education for over two thousand years.
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if f(x) =g(x) + 10 and g(x) = 3(x) - 18
Step-by-step explanation:
This is called a nested function. Remember, math is a language.
We define a function where x is whatever we want it to be, f(x) = g(x) +10
but we have yet another function inside and itvs defined as g(x) = 3x - 18
if we were to write it out, it woukd be
f(x) = (3x - 18) + 10
Which of the following is the correct solution to the linear inequality shown
below?
y<2/3x+1
-
The line of the inequality will be dotted and the origin is the solution to the inequality. Hence option A is the correct option.
What is inequality?Inequalities are mathematical expressions in which neither side is equal. Unlike equations, we compare two values in inequality. In between, the equal sign is replaced by a less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Given the equation of the inequality is y <2/3 x +1.
The inequality contains a less than symbol.
If an inequality contains less than or equal/ greater than or equal sign, then the line of the inequality will be solid.
If an inequality contains less than or greater than, then the line of the inequality will be dotted.
The line of the given inequality will be dotted.
Now putting x = 0, y = 0 in the inequality:
0< (2/3×0) + 1
0 < 1 true.
Thus (0,0) is a solution to the inequality.
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848 runners entered a race. 274 more entered before
the race started. How many runners are in the race?
Answer:
1122
Step-by-step explanation:
Answer:1122
Step-by-step explanation: Adding 848, to 274= 1122.
Which of the following statements is FALSE? The correlation coefficient equals the proportion of data points that lie on a straight line. The correlation coefficient will be +1.0 only if all the data lie on an upward-tilting straight line. The correlation coefficient is undefined if all the data lie on a perfectly horizontal straight line. The correlation coefficient is a unitless number and must always lie between –1.0 and +1.0, inclusive.
Answer:
The first one is False.
Step-by-step explanation:
If the correlation coefficient can also be -1 if the data lies on an upward tilting straight line.