Answer:
x = 50°
Step-by-step explanation:
According to exterior angle property of a traingle , measure of exterior angle is equal to sum of it's two interior angles of the triangle. So,
\(x = 15 + 35 = 50\)
if u answer this u are a god at math
Answer:
its 90
hope this helped
Step-by-step explanation:
Answer:90
Step-by-step explanation:
NEED HELP FASTT!!!***
Katherine went to Hibbet sports and spent $125.50 on a pair of shoes and $12.25
on a t-shirt. If the sales tax is 8.25%, how much will she pay in all?
How much was the tax?
Answer:
125.50 + 12.25 = 137.75
137.75/109 X 108.25 = 149.114375
total cost = $149.11
149.11 - 137.75= 11.36
sales tax = $11.36
On one particular day, Jamal arrived late to find four other co-workers waiting for him to arrive. They were unable to do other work because they had made arrangements to have their position covered and to work with Jamal on a special project. Nothing could be done until he got there. The other workers earned wages as followed: Derek earns $10.00/hr; Sam earns $11.80/hr; Penny earns $11.00/hr and Zachary earns $13.00/hr. How much was lost in unproductive wages because Jamal arrived 15 minutes late?
Answer: $11.45
Step-by-step explanation:
Arriving 15minutes late simply means 15/60 = 1/4 of the wages has been lost. We then multiply 1/4 by each person's wage. This will be:
Derek = 1/4 × $10.00
= $2.50
Sam = 1/4 × $11.80
= $2.95
Penny = 1/4 × $11.00
= $2.75
Zachary = 1/4 × $13.00
= $3.25
The amount lost will be:
= $2.50 + $2.95 + $2.75 + $3.25
= $11.45
For the function f(x)=x^2+4x-12 solve the following. F(x) ≤0
The solution to the inequality f(x) ≤ 0 is the interval [-6, 2]. In other words, the values of x that satisfy the inequality are those that lie between -6 and 2, inclusive.
To solve the inequality f(x) ≤ 0, we need to find the values of x for which the function f(x) is less than or equal to zero.
We start by factoring the quadratic expression f(x) = x^2 + 4x - 12:
f(x) = (x + 6)(x - 2)
Setting this expression to zero, we get:
(x + 6)(x - 2) = 0
This gives us two solutions: x = -6 and x = 2.
Now, we need to determine the sign of f(x) in the intervals between these two solutions. We can use a sign chart to do this:
x f(x)
-∞ +
-6 0
2 0
+∞ +
From the sign chart, we see that f(x) is positive for x < -6 and for x > 2, and it is negative for -6 < x < 2.
To summarize, the solution to the inequality f(x) ≤ 0 for the function f(x) = x^2 + 4x - 12 is the interval [-6, 2].
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A medical researcher needs 7 people to test the effectiveness of an experimental drug. If 15 people have volunteered for the test, in how many ways can 7people be selected?
Given:
A medical researcher needs 7 people to test.
15 people have volunteered for the test.
To find:
We need to find a number of ways to select 7 from 15 people.
Explanation:
The number of ways to select 7 from 15 people can be found by the given formula.
\(nC_r=\frac{n!}{r!(n-r)!}\)Substitute n=1`5 and r=7 in the formula.
\(15C_7=\frac{15!}{7!(15-7)!}\)\(15C_7=\frac{15\times14\times13\times12\times11\times10\times9\times8!}{7\times6\times5\times4\times3\times2\times(8)!}\)\(15C_7=15\times13\times11\times3\)\(15C_7=6435\)Final answer:
The number of ways = 6435 ways.
You pick a number between 1000 and 5000. then you flip a coin. identify if the two events are independent or dependent. explain
The two events are independent.
To determine if the two events, picking a number between 1000 and 5000 and flipping a coin, are independent or dependent, we need to examine their relationship.
The events are independent if the outcome of one event does not affect the outcome of the other event.
In this case, picking a number between 1000 and 5000 has no influence on the outcome of flipping a coin, and flipping a coin does not affect the number you pick.
Therefore, these two events are independent.
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The data values and weights are provided. Find the weighted mean x. X. = 2.0, X2 = 2.5, x3 = 1.5, w4 = 3.0, w5= 2.0; w1 = W2 = W3 = W4 = 3,w5 = 8
Given:
X W
2.0 3
2.5 3
1.5 3
3.0 3
2.0 8
To find the weighted mean, use the formula:
\(x=\text{ }\frac{\Sigma X\cdot W}{\Sigma W}\)Multiply the weight by the data values then add up the weights.
Divide the product by the sum of the weights.
X W X*W
2.0 3 6.0
2.5 3 7.5
1.5 3 4.5
3.0 3 9.0
2.0 8 16.0
------ --------
20 43
\(=\text{ }\frac{\Sigma X\cdot W}{\Sigma W}\text{ = }\frac{43}{20}=\text{ }2.15\)The weighted mean is = 2.15
ANSWER:
X = 2.15
a quality control inspector has drawn a sample of 14 light bulbs from a recent production lot. suppose 20% of the bulbs in the lot are defective. what is the probability that less than 9 but more than 7 bulbs from the sample are defective? round your answer to four decimal places.
The probability that less than 9 but more than 7 bulbs from the sample are defective is 0.8944.
The formula to find the probability of x number of defective bulbs in a sample of n bulbs is as follows:
P(x) = [\(n \choose x\) * p^x * (1-p)^(n-x)], where \(n \choose x\) is the combination of n and x.
So, The probability of x < 9 defective bulbs in a sample of 14 bulbs is given as follows:
P(x<9) = P(x=0) + P(x=1) + P(x=2) + P(x=3) + P(x=4) + P(x=5) + P(x=6) + P(x=7)
Therefore, the probability that less than 9 bulbs from the sample are defective is
P(x<9) = [\(14 \choose0\) * (0.2)^0 * (0.8)^14] + [\(14 \choose1\) * (0.2)^1 * (0.8)^13] + [\(14 \choose2\) * (0.2)^2 * (0.8)^12] + [\(14 \choose3\) * (0.2)^3 * (0.8)^11] + [\(14 \choose4\) * (0.2)^4 * (0.8)^10] + [\(14 \choose5\) * (0.2)^5 * (0.8)^9] + [\(14 \choose6\) * (0.2)^6 * (0.8)^8] + [\(14 \choose7\) * (0.2)^7 * (0.8)^7]= 0.8962
Similarly, the probability that more than 7 bulbs from the sample are defective is:
P(x>7) = P(x=8) + P(x=9) + P(x=10) + P(x=11) + P(x=12) + P(x=13) + P(x=14)
Therefore, the probability that more than 7 bulbs from the sample are defective is
P(x>7) = [\(14 \choose8\) * (0.2)^8 * (0.8)^6] + [\(14 \choose9\) * (0.2)^9 * (0.8)^5] + [\(14 \choose10\) * (0.2)^10 * (0.8)^4] + [\(14 \choose11\) * (0.2)^11 * (0.8)^3] + [\(14 \choose12\) * (0.2)^12 * (0.8)^2] + [\(14 \choose13\) * (0.2)^13 * (0.8)^1] + [\(14 \choose14\) * (0.2)^14 * (0.8)^0]= 0.0005
Therefore, the probability that less than 9 but more than 7 bulbs from the sample are defective is:
P(8≤x≤7) = P(x<9) - P(x≤7)
P(8≤x≤7) = P(x<9) - [P(x=0) + P(x=1) + P(x=2) + P(x=3) + P(x=4) + P(x=5) + P(x=6) + P(x=7)]= 0.8962 - 0.0018= 0.8944 (rounded to four decimal places)
Therefore, more than 7 out of the sample have a probability of failure, but less than 9 out of the sample probably have a failure.
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Please I need help fast!!!
an article is bought and sold with a profit of 25% of selling price.find the profit percent
Answer:
Profit on cost will be = 33.33%
rational or irrational
a. 4.9999
b. 1.568826854
c. pi over 2
Change the following simple quadratic equations to factored form. For each, identify the zeros.
1. y = x² - 9x - 36
2. y = x + 5x – 24
3. y = x + 10x + 24
4. y = x² - 7x - 12
Each factored version of a basic quadratic equation therefore contains two zeros. an equation with a degree 2 single variable. With x being the variable and a, b, and c being constants (a 0), it has the general form ax2 + bx + c = 0.
what is quadratic equations ?A quadratic equation is a second-order polynomial equation in one variable that goes like this: x ax2 + bx + c=0, where a 0. Given that it is a second-order polynomial equation, the algebraic fundamental theorem ensures that it has at least one solution. The resolution could be simple or complicated.
given
1) y = \(x^{2} - 9x -36\)
= y = \(x^{2} -12x + 3x -36\\x(x+3)-12(x+3)\\(x+3)(x-12)\)
2) y =\(x^{2} +5x -24\\x^{2} +8x-3x -24\\x(x+8)-3(x+8)\\(x+8)(x-3)\)
so each simple quadratic equations to factored form has 2 zeros .
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the normal force is equal to the perpendicular component of object's weight, which decreases as the angle of inclination increases.
true or false
The statement "The normal force is equal to the perpendicular component of the object's weight, which decreases as the angle of inclination increases" is true.
As the angle of inclination increases, the object's weight can be divided into two components: one perpendicular to the inclined surface (the normal force) and one parallel to it. As the angle increases, the perpendicular component (normal force) decreases, while the parallel component increases.
So to directly answer your question, the normal force is never equal to the weight of the object on an inclined plane (unless you count the limiting case of level ground). It is equal to the weight of the object times the cosine of the angle the inclined plane makes with the horizontal.
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Solve the system u=3x-4y, v=x+4y for x and y in terms of u and v. then find the value of the jacobian
Eliminate \(y\).
\(u + v = (3x - 4y) + (x + 4y) = 4x \implies x = \dfrac{u+v}4\)
Eliminate \(x\).
\(u - 3v = (3x - 4y) - 3 (x + 4y) = -16y \implies y = \dfrac{3v-u}{16}\)
The Jacobian for this change of coordinates is
\(J = \begin{bmatrix} x_u & x_v \\ y_u & y_v \end{bmatrix} = \begin{bmatrix} \dfrac14 & \dfrac14 \\\\ -\dfrac1{16} & \dfrac3{16} \end{bmatrix}\)
with determinant
\(\det(J) = \dfrac14\cdot\dfrac3{16} - \dfrac14\cdot\left(-\dfrac1{16}\right) = \dfrac1{16}\)
A side of a cube-shaped fish aquarium measures 14 inches. The amount of glass needed to make the aquarium can be found using the expression 5 x 142. Which is the amount of glass needed to make the cube-shaped fish aquarium?
A-140 IN. ²
B-980 IN. ²
C-350 IN. ²
D-4,900 IN. ²
THIS IS FOR A GRADE NEED HELP
Write an equation in slope intercept form for the graph below
Answer:
\( y = 10x \)
Step-by-step explanation:
Finding the slope (m) of the line the following points in the line, (0, 0) and (2, 20):
\( slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{20 - 0}{2 - 0} = \frac{20}{2} = 10 \)
y-intercept (b) is 0. The line intercepts the y-axis at 0. Thus, b = 0.
Substitute m = 10 and b = 0 in \( y = mx + b \)
The equation in slope-intercept form for the graph would be:
✅\( y = 1x + 0 \)
\( y = 10x \)
which of the following assumptions for a two-way anova is false? the samples must be dependent. the groups must have the same sample size. the sample populations must be normally or approximately normally distributed. the variances of the populations must be equal.
The samples must be dependent is the false assumptions all other assumptions about the two-way ANOVA is correct. Option A is the correct answer.
According to the levels of two categorical variables how the mean of quantitative variables changes is estimated by A two-way ANOVA. When you want to know how two independent variables, in combination, affect a dependent variable we can use a two-way ANOVA.
The samples must be dependent is the false assumption because samples are supposed to be independent, not dependent multicollinearity is minimized. the assumption of the two-way ANOVA is the Independence of variables, Homoscedasticity, and Normal distribution of variables.
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How do I solve this equation step by step?
Answer:
Step-by-step explanation:
answer=
5x+1=6
5x=6-1
5x=5
x=1
Square root of 1 is 1
Answer:
√5x+1 = 6
(√5x+1)2 = (6)2
5x+1 = 36
5x -35 = 0
Add 35 to both sides
5x = 35
Divide both sides by 5
solution is :
x = 7
Step-by-step explanation:
Do this for a cookie plz ;)
Answer:
i just want the cookie so can i have it ? ._.
Step-by-step explanation:
Solve the right triangle for all unknown sides and angles. Round your answers to two decimal places.
B = 71
, b = 24
Angle A is 19 degrees.
Angle C is 90 degrees.
Side a is approximately 7.83.
Side c is approximately 34.50.
To solve the right triangle given that B = 71 degrees and b = 24, we can use the trigonometric ratios sine, cosine, and tangent.
Finding Angle A:
Angle A is the complementary angle to B in a right triangle, so we can calculate it using the equation:
A = 90 - B
Substituting the given value, we have:
A = 90 - 71
A = 19 degrees
Therefore, Angle A is 19 degrees.
Finding Angle C:
Since it is a right triangle, Angle C is always 90 degrees.
Therefore, Angle C is 90 degrees.
Finding Side a:
We can use the sine ratio to find the length of side a:
sin(A) = a / b
Rearranging the equation to solve for a, we have:
a = b * sin(A)
Substituting the given values, we have:
a = 24 * sin(19)
a ≈ 7.83
Therefore, the length of side a is approximately 7.83.
Finding Side c:
Using the Pythagorean theorem, we can find the length of side c:
c^2 = a^2 + b^2
Substituting the given values, we have:
c^2 = 7.83^2 + 24^2
c^2 ≈ 613.68 + 576
c^2 ≈ 1189.68
Taking the square root of both sides to solve for c, we have:
c ≈ √1189.68
c ≈ 34.50
Therefore, the length of side c is approximately 34.50.
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A triangle and the coordinates of its vertices is shown in the coordinate plane below. Enter the area of this triangle in square units, rounded to the nearest tenth. square units
Answer:
22 units²
Step-by-step explanation:
1/2b*h=area
You can either count the units or use the distance formula.
\(d = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \)
b = 4 units
h = 11 units
area = (1/2*4)*11 = 22 units²
A zookeeper is monitoring the population of penguins. the group needs to have exactly two times more males than females for the population to thrive. the zoo only has room for a maximum of 10 female penguins. let x represent the number of female penguins and y represent the number of male penguins. write the constraints that represent the possible number of male and female penguins that can live in a thriving population at the zoo. 0 < x ≤ 10 and 0 < y ≤ 20 x > 0 and y > 0 0 < x ≤ 10 and y > 20 x > 0 and y < 10
Answer:
0 < x ≤ 10 and 0 < y ≤ 20.
Step-by-step explanation:
I did the test and got it right ma bois.
Answer: Its A
Step-by-step explanation:
The table below represents a linear function f(x) and the equation represents a function g(x):
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
(10 points)
Answer:
Step-by-step explanation:
Part A
for f(x) slope between points (-1,-6) and (1,0)
m= y2-y1/x2-x1 = -6-0/-1-1 = -6/-2= 3
for g(x) slope m=4 because we compare to equation y=mx+b the given equation g(x)=4x-5
The slope of f(x) is 3 and the slope g(x) is 4 so the line of g(x) is steeper
part B
The y intercept for g(x) is (0, -5)
The equation of f(x) can be found
y-y1 =m(x-x1) take any point for example point (1,0)
y-1 =3(x-0)
y=3x+1 so the y-intercept is at (0,1)
The y-intercept for f(x) is greater at y=1 then the one of g(x) at y=-5
Measures of the two triangles DEF and PQR
are shown in the figure. Check if the
triangles are congruent. If congruent, which
of the following statements is true? Justify.
∆ DEF ≅ ∆ PQR ;
∆ DEF ≅ ∆ QPR ;
∆ DEF ≅ ∆ RPQ. First to Answer with explanation will be marked as brainliest.
Answer:
Measures of the two triangles DEF and PQR
are shown in the figure. Check if the
triangles are congruent. If congruent, which
of the following statements is true? Justify.
∆ DEF ≅ ∆ PQR ;
∆ DEF ≅ ∆ QPR ;
∆ DEF ≅ ∆ RPQ. First to Answer with explanation will be marked as brainliest.
Subtract (-4x-2)-(13x-1)
Answer: -17x-1
Step-by-step explanation: Hope this help :D
Answer:
-17x-1
Step-by-step explanation:
please help meeeeeee!
Answer:
2x^2+x-1/x^2-1
x^2+11x+18/x^2-11x+18
2x^2-5x+3/x^2+4x+3
Step-by-step explanation:
1.2 and 5
Given the points (3,5),(2,4),(9,0) and (?,6). What could be replace the ? to create a function.
Any number apart from 3 can be used to replace the ? to create a function.
In a function, the inputs do not repeat that is the input in all cases should be unique in nature.
The inputs are assigned to exactly one output for each.
Three is one of the options to create a non function as three is already an input in the given function.
Replacing the ? with 3 would create the a function would be to replace it with any number but 3.
(3,5) (2, 4) (9, 0) (3,6)
Any number apart from 3 can be used to replace the ? to create a function.
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The odds in favor of an event are 3 to 4. What is the probability of the event?
37
The probability from the odds is 3/7
How to determine the probability?The value of the odds is given as
Odds = 3 to 4
Represent the odds as a fraction
So, we have the following representation
Odds = 3/4
To convert the odds to probability, we make use of the following equation
Probability = Odds/(1 + Odds)
Substitute the known values in the above equation, so, we have the following representation
Probability = (3/4)/(3/4 + 1)
Evaluate the sum
Probability = (3/4)/(7/4)
Evaluate the quotient
Probability = 3/7
Hence, the probability is 3/7
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Erik decides to save money to buy a new computer. He starts with $100. He then adds a
constant amount each week.
● After 2 weeks, he has $140
● After 4 weeks, he has $180
Write an equation to represent the linear relationship between his total savings, S, in dollars, and the
number of weeks since he started saving, n. (Hint: use the equation Y 2 − Y 1 )
Answer:
You Can Open up this link to find your answer!!
Step-by-step explanation:
is this a linear equation
a) 3y-1
b) x²+1=5
c) y<7
d) 6y+1=0
Answer:
a) "3y-1" is not a linear equation because it is missing an equal sign. It is just an expression.
b) "x²+1=5" is not a linear equation because it contains a squared term.
c) "y<7" is not an equation at all. It is an inequality.
d) "6y+1=0" is a linear equation because it can be written in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is -6/1 and the y-intercept is 1/6.