Step 1
Consider triangle BDH,
The sum of angle in the triangle BDH is 180 degrees
Step 2
\(\begin{gathered} \angle B\text{ + }\angle D\text{ + }\angle H\text{ = 180} \\ 33\text{ + 46 + }\angle H\text{ = 180} \\ \angle H\text{ = 180 - 33 - 46} \\ \angle H\text{ = 101} \end{gathered}\)Step 3
\(\begin{gathered} x\text{ + }\angle H\text{ = 180 Sum of angles on a straight line.} \\ x\text{ + 101 = 180} \\ \text{ x = 180 - 101} \\ \text{x = 79} \end{gathered}\)Final answer
x = 79
what is the domain of the function on the graph?
Answer:
c
Step-by-step explanation: because
A box contains 12 transistors, 5 of which are defective. If 5 are selected at random, find the probability of the statements below.
a. All are defective
b. None are defective
Answer:
a. The probability that all 5 selected transistors are defective is 0.0024 or 0.24%.
To calculate this probability, we use the formula for the probability of the intersection of independent events:
P(all 5 defective) = P(defective) x P(defective) x P(defective) x P(defective) x P(defective)
where P(defective) = 5/12 for each transistor.
Plugging in the values, we get:
P(all 5 defective) = (5/12) x (5/12) x (5/12) x (5/12) x (5/12) = 0.0024
b. The probability that none of the selected transistors are defective is 0.163 or 16.3%.
To calculate this probability, we use the complement rule:
P(none defective) = 1 - P(at least one defective)
To calculate P(at least one defective), we can use the complement rule again:
P(at least one defective) = 1 - P(none defective)
So, we need to find P(none defective) first:
P(none defective) = P(not defective) x P(not defective) x P(not defective) x P(not defective) x P(not defective)
where P(not defective) = 7/12 for each transistor.
Plugging in the values, we get:
P(none defective) = (7/12) x (7/12) x (7/12) x (7/12) x (7/12) = 0.163
Then, we can find P(at least one defective):
P(at least one defective) = 1 - P(none defective) = 1 - 0.163 = 0.837
Finally, we can find P(none are defective) using the complement rule:
P(none defective) = 1 - P(at least one defective) = 1 - 0.837 = 0.163.
jackson bought his first car. he went to an insurance office to get car insurance. which of these types of insurance is the minimum required by law?
The types of insurance is the minimum required by law is Bodily Injury Liability
What is Insurance?
Insurance is a tool for risk management. You purchase protection against unforeseen financial losses when you purchase insurance. If something unpleasant happens to you, the insurance company pays you or someone else of your choosing.
What is Bodily Injury Liability?
Bodily injury liability coverage pays for the victims' medical expenses if you are at fault for an automobile accident (not including yourself). In the event that you are sued for damages, this coverage also aids in covering the cost of your defence.
For most drivers, 100/300/100, or $100,000 per person, $300,000 per accident in bodily injury liability, and $100,000 per accident in property damage liability, is the optimum liability coverage.
The types of insurance is the minimum required by law is Bodily Injury Liability
To learn more about Insurance visit:
brainly.com/question/27822778
#SPJ4
2. Given the situations below, Identify if it is a linear or exponential model or neither.
Explain your reasoning.
a. A savings account that starts with $5000 and receives a deposit of $825 per month.
Step-by-step explanation:
The situation described can be modeled using a linear equation, where the balance of the savings account increases by a fixed amount every month. Specifically, the equation that represents this situation is:
balance = $5000 + $825 * months
where "months" represents the number of months that have passed since the account was opened. The slope of this line is constant at $825, indicating that the balance is increasing by the same amount every month.
Therefore, the model for this situation is linear.
Rewrite the expression without parentheses.
13m-(-5m-2)
O A. 13m + 5m - 2
OB. 13m - 5m + 2
O C. 13m - 5m - 2
OD. 13m + 5m + 2
Answer:
Option DStep-by-step explanation:
We know that:
If both the numbers that are multiplying each other have negative signs, they will eventually give a positive sign.Solution:
13m -(-5m - 2)=> 13m + 5m + 2Looking at the options, we can say that Option D is matching with the result.
Which side of DEF is the longest?
A. DE
B. EF
C. D
D. Cannot be determine
Answer:
EF
This is just extra words
If m= 4 and n=7, what is the value of m - n?
Answer:
-3
Step-by-step explanation:
Hey there!
Equation:
m - n
Solving:
m - n
= 4 - 7
Start at 4 and go up 7 spaces to your left/right
= -3
Therefore, your answer should be: -3
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
how did the greeks defend themselves from dorian rules?
Answer: the Dorians were far less advanced then the Mycenaean Greeks; economy collasped and trade stopped
Construct a stem-and-leaf plot of the test scores 67 comma 72 comma 86 comma 75 comma 89 comma 89 comma 87 comma 90 comma 99 comma 100. How does the stem-and-leaf plot show the distribution of these data?
Answer:
Given the values: 67,72,86,75,89,89,87 ,90 ,99 and 100.
To create a stem and leaf plot
We place the first digit in the Stem Column and the Second digit in the plot column.
Stem-and-leaf plot of the test scores
\(\left|\begin{array}{c|ccccccc}Stem&Leaf\\---&--&--&--&--\\6&7&\\7&2&5\\8&6&7&9&9\\9&0&9\\10&0\end{array}\right|\)
The stem and leaf plot enables us at a glance to see the values or range of the values that are most prevalent.
From the above stem and leaf plot, we can see that values in the range of 80-89 are most prevalent.
1. What is –6 9/16 written as a decimal?
A -6.625
B -6.5625
C -6.4375
D-6.125
Answer:
B) -6.5625
9/16 is equal to 0.5625
Answer:
-6.5625
Step-by-step explanation:
Multiply the following using the vertical multiplication method:
Answer: A) 3x⁴ - x³ + 3x² + 18x + 4
Step-by-step explanation:
Vertical Multiplication is the same with polynomials as it is for numbers.
How would you multiply 1 2 3
x 4 5
You would multiply the top row by 5, shift everything one space to the left and multiply everything by 4, and then add those values.
We do the same for polynomials.
3x² + 5x + 1
x² - 2x + 4
4(3x² + 5x + 1) --> 12x² + 20x + 4
-2x(3x² + 5x + 1) --> -6x³ - 10x² - 2x
x²(3x² + 5x + 1) --> 3x⁴ + 5x³ + 1x²
Sum: 3x⁴ - 1x³ + 3x² + 18x + 4
In which month was the average number of hours worked by the website designers closest to 50 hours
- January
- February
- March
- April
The correct answer is March, as it was the month in which the average number of hours worked by the website designers was closest to 50 hours.
What is a month?A month is a unit of time typically consisting of 30 or 31 days. It is used for measuring periods of time, for example, when we say something happened "a month ago". Months are used in both the Gregorian calendar and the Julian calendar.
This data was gathered from a survey of website designers, which was conducted to determine the average number of hours each month that these professionals spent working.
In January, the average number of hours worked was 46.5. In February, it was 48.8. However, in March, the average number of hours worked was 49.4, which was the closest to 50 hours. This was followed by April, in which the average was 49.7.
Overall, it can be concluded that March was the month in which the average number of hours worked by website designers was closest to 50 hours. This is important data for website designers, as it allows them to understand the amount of time they should be spending on their work in order to be successful. It also helps employers gauge the workload of their website designers and ensure they are providing an adequate amount of work.
For more questions related to month
https://brainly.com/question/30403028
#SPJ1
2.865 in expanded form
Answer: 2.865
Step-by-step explanation:
Find a Cartesian equation for the curve.
r = 3 sec(θ)
Identify the curve.
▢ ellipse
▢ line
▢ hyperbola
▢ limaçon
▢ circle
\(r = 3sec( \alpha ) \\ r = \frac{3}{cos( \alpha )} \)
\(x = rcos( \alpha ) \: \: \: \: \: \: \: cos( \alpha ) = \frac{x}{r} \)
\(r = \frac{3}{ \frac{x}{r} } \\ r = \frac{3r}{x} \: \: \: \: \: \: x = 3 \\ line\)
Use the relationship represented in this Venn diagram to identify the true statement.
A. All trapezoids are rhombuses
B. All rhombuses are trapezoids
C. No trapezoids are rhombuses
D. No rhombuses are trapezoids
The true statement based on the relationship depicted in the Venn diagram is that no rhombuses are trapezoids (option D).
To identify the true statement using the relationship represented in the Venn diagram, we need to analyze the overlapping regions and the properties of the shapes involved.
A trapezoid is a quadrilateral with at least one pair of parallel sides, while a rhombus is a quadrilateral with all sides of equal length. Let's evaluate the options:
A. All trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region between the trapezoids and rhombuses shows that there are trapezoids that are not rhombuses. Therefore, option A is incorrect.
B. All rhombuses are trapezoids: This statement is true based on the diagram. The entire region representing rhombuses is also included within the region representing trapezoids. Every rhombus can be considered a trapezoid because it has at least one pair of parallel sides. Thus, option B is correct.
C. No trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region indicates that there are trapezoids that are indeed rhombuses. Therefore, option C is incorrect.
D. No rhombuses are trapezoids: This statement is true based on the diagram. There is no overlap between the regions representing rhombuses and trapezoids, implying that no rhombus can be considered a trapezoid. Hence, option D is correct.
for such more question on trapezoids
https://brainly.com/question/22351006
#SPJ8
Find the coefficients of the polynomial with a leading coefficient of: one, and roots: zero, nine, and nine.
x^3+__x^2 +81x+__
\(zeros \begin{cases} x=0\implies &x=0\\ x=9\implies &x-9=0\\ x=9\implies &x-9=0 \end{cases}\qquad \implies a(x)(x-9)(x-9)=\stackrel{y}{0} \\\\\\ \stackrel{\textit{with a coefficient of 1}}{1(x)(x-9)(x-9)=y}\implies x(x-9)^2=y\implies x(x^2-18x+81)=y \\\\\\ ~\hfill {\Large \begin{array}{llll} x^3-18x^2+81x=y \end{array}}~\hfill\)
Guys my main account is gone i dont know why. Am I baned?
Answer:
Try contacting the Help center located at the bottom part of the home page of this site. It is recoverable as long as no violation committed
The ESS Ravens bought pizza for $900 to sell at the football game. They kept 10 pizzas to feed the players after the game and sold the rest for $1040. There were 8 slices in each pizza. Their profit was 50 cents a slice.
a) How many pizzas were in the original order?
Answer: 45
Step-by-step explanation:
The total profit in all was \(1040-900=\$ 140\).
The total profit per pizza was \((0.50)(8)=\$4\).
This means they sold \(\frac{140}{4}=35\) pizzas.
Adding this to the 10 pizzas held back, there were \(35+10=45\) pizzas in the original order.
Merone Company allocates materials handling cost to the company's two products using the below data:
Modular Homes Prefab Barns
Total expected units produced 5,900 8,900
Total expected material moves 590 190
Expected direct labor-hours per unit 790 290
The total materials handling cost for the year is expected to be $325,890.
If the materials handling cost is allocated on the basis of material moves, the total materials handling cost allocated to the modular homes is closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$246,507.90
$160,629.00
$213,514.00
$238,382.50
Merone Company allocates materials handling cost to the company's two products using the below data:
Modular Homes Prefab Barns
Total expected units produced 6,000 9,000
Total expected material moves 600 200
Expected direct labor-hours per unit 800 300
The total materials handling cost for the year is expected to be $300,000.
If the materials handling cost is allocated on the basis of direct labor-hours, the total materials handling cost allocated to the prefab barns is closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$105,000.00
200,000.00
$150,204.00
$108,000.00
Spates, Incorporated, manufactures and sells two products: Product H2 and Product E0. Data concerning the expected production of each product and the expected total direct labor-hours (DLHs) required to produce that output appear below:
Expected Production Direct Labor-Hours Per Unit Total Direct Labor-Hours
Product H2 190 6.9 1,311
Product E0 190 5.9 1,121
Total direct labor-hours 2,432
The company’s expected total manufacturing overhead is $270,968.
If the company allocates all of its overhead based on direct labor-hours, the overhead assigned to each unit of Product H2 would be closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$222.84 per unit
$126.48 per unit
$768.80 per unit
$96.36 per unit
Doles Corporation uses the following activity rates from its activity-based costing to assign overhead costs to products.
Activity Cost Pools Activity Rate
Setting up batches $ 70.72 per batch
Processing customer orders $ 27.78 per customer order
Assembling products $ 12.81 per assembly hour
Data concerning two products appear below:
Product K52W Product X94T
Number of batches 66 53
Number of customer orders 46 31
Number of assembly hours 419 162
Required:
How much overhead cost would be assigned to each of the two products using the company's activity-based costing system? (Round your intermediate calculations and final answers to 2 decimal places.)
The total materials handling cost allocated to the modular homes is $246,372.84.
The total materials handling cost allocated to the Prefab Barns is closest to $108,000.
What is the total materials handling cost allocated?To allocate materials handling cost based on material moves, we must determine proportion of material moves for each product and then apply that proportion to the total materials handling cost.
Proportion of material moves for Modular Homes:
= (Total expected material moves for Modular Homes) / (Total expected material moves for both products)
= 590 / (590 + 190)
= 0.756
Total materials handling cost allocated to Modular Homes:
= Proportion of material moves for Modular Homes * Total materials handling cost
= 0.756 * $325,890
= 246 372.84
= $246,372.84.
To allocate the materials handling cost based on direct labor-hours, we need to determine proportion of direct labor-hours for each product.
For Modular Homes:
Total direct labor-hours for Modular Homes:
= 6,000 units * 800 hours/unit
= 4,800,000 hours
For Prefab Barns:
Total direct labor-hours for Prefab Barns:
= 9,000 units * 300 hours/unit
= 2,700,000 hours
Total direct labor-hours for both products:
= 4,800,000 hours + 2,700,000 hours
= 7,500,000 hours
Proportion of direct labor-hours for Prefab Barns:
= 2,700,000 hours / 7,500,000 hours
= 0.36
Allocated materials handling cost for Prefab Barns:
= Proportion of direct labor-hours for Prefab Barns * Total materials handling cost
= 0.36 * $300,000
= $108,000.
Read more about allocated cost
brainly.com/question/31439407
#SPJ1
If a student pours 19 1/4 cups of lemonade into containers that hold 3 1/2 cups each, how many containers can the student fill
Answer:
The student will be able to fill 5 1/2 cups of lemonade.
Step-by-step explanation:
can i get brainliest plz
Answer:
you could fill 5 1/2 cups.
Step-by-step explanation:
19 1/4 divided by 3 1/2 is 5 1/2
Find the equation of a line parallel to y=x−1 that contains the point (−3,−2). Write the equation in slope-intercept form.
Answer:
y = x + 1
Step-by-step explanation:
Parallel lines have same slope.
y = x - 1
Compare with the equation of line in slope y-intercept form: y = mx +b
Here, m is the slope and b is the y-intercept.
m =1
Now, the equation is,
y = x + b
The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,
-2 = -3 + b
-2 + 3 = b
\(\boxed{b= 1}\)
Equation of line in slope-intercept form:
\(\boxed{\bf y = x + 1}\)
The equation is :
↬ y = x + 1Solution:
We KnowIf two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.
We shouldn't forget about a point on the line : (-3, -2).
I plug that into a point-slope which is :
\(\sf{y-y_1=m(x-x_1)}\)
Slope is 1 so
\(\sf{y-y_1=1(x-x_1)}\)
Simplify
\(\sf{y-y_1=x-x_1}\)
Now I plug in the other numbers.
-3 and -2 are x and y, respectively.
\(\sf{y-(-2)=x-(-3)}\)
Simplify
\(\sf{y+2=x+3}\)
We're almost there, the objective is to have an equation in y = mx + b form.
So now I subtract 2 from each side
\(\sf{y=x+1}\)
Hence, the equation is y = x + 1A bag of M&Ms had 4 red, 5 orange, 3 yellow, 2 green, 7 blue, and 3 brown candies.
What is the probability of drawing and eating red candy and then drawing and eating an orange candy?
Answer:
4/20 red 5/20 orange
Step-by-step explanation:
see how many their are then add up all the candies then boom theres your answer
pls help with this thxxu :))
The figure below shows a construction of a triangle,based on the steps and lengths shown,which type of triangle is it?
A- Equilateral
B- Isosceles
C- Scalene
D- Obtuse
Answer:
Scalene triangle (Option C)
Step-by-step explanation:
In a scalene triangle , all its sides have different lengths.
According to the figure given in question , lengths of all sides differ from each other. So , the triangle in the figure is a scalene triangle.
8.12 Midpoint formula: find the endpoint EUW
Learn with an example
Submit
or Watch a video
The midpoint of PQ is M(4, 0). One endpoint is P(6, 0). Find the coordinates of the other
endpoint Q.
Write the coordinates as decimals or integers.
‹=OD
Work
The coordinates of the other endpoint Q.=(2,0)
How to calculate the coordinates of the other endpoint Q ?
Given:
Midpoint = PQ = M(4,0)
One endpoint = P = \((x_1,y_1)\) = (6,0)
Other endpoint Q= \((x_2,y_2)\)
We know that,
\(\text{Midpoint PQ}=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )\\\\=(\frac{6+x_2}{2} ,\frac{0+y_2}{2} )=(4,0)\\\\= > \frac{6+x_2}{2} =4\\\\= > 6+x_2= 8\\\\= > x_2=2\)
\(\text{Similarly},\\\\\frac{0+y_2}{2} =0\\\\= > y_2=0\)
So, the Other endpoint Q=(2,0)
To learn more about midpoint, refer:
https://brainly.com/question/18315903
#SPJ13
Describe a sequence of transformations that will take figure A onto figure B
Answer:
Step-by-step explanation:
A figure is called congruent to another figure if there is a sequence of translations, rotations, and reflections that takes one of the figures onto the other. This is because translations, rotations, and reflections are rigid motions. Any sequence of rigid motions is called a rigid transformation.
Write an equation for the sentence.
Four times a number less 10 is equal to 16 ?
Answer:
four times a number less 10 is equall to 16 ia not
A rectangular room is 1.3 times as long as it is wide, and its perimeter is 27 meters. Find the dimension of the room.
The dimensions of the room are approximately 5.87 meters by 7.63 meters.
Let's assume the width of the room is "x" meters.
According to the problem, the length of the room is 1.3 times the width, so the length would be 1.3x meters.
The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, the perimeter is given as 27 meters.
Perimeter = 2(length + width)
Substituting the values we know:
27 = 2(1.3x + x)
Simplifying:
27 = 2(2.3x)
27 = 4.6x
Dividing both sides by 4.6:
x = 27 / 4.6
x ≈ 5.87
The width of the room is approximately 5.87 meters.
To find the length, we can multiply the width by 1.3:
Length = 1.3 * 5.87 ≈ 7.63
The length of the room is approximately 7.63 meters.
Therefore, the dimensions of the room are approximately 5.87 meters by 7.63 meters.
For more such questions dimensions,click on
https://brainly.com/question/28107004
#SPJ8
at a sporting event, you can buy 5 hot dogs and 2 drinks and spend $19. you could have also purchased 3 hot dogs and 4 drinks and sprnt $17. How much money did a hot dog cost? how much money did a drink cost?
given that 16 ounces is 1 pound, how many ounces are in 12.4 pounds.
A. 192
b.198.4
c. 201.6
d. 208
what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.