Answer:
figure 1 - 10.5 unit^2
figure 2 - 12 unit^2
Step-by-step explanation:
figure 1
1. find the area of the rectangle
3*2 = 6 unit^2
2. find the area of the triangle
(3*3)/2 = 4.5 unit^2
3. add the area of the rectangle and the area of the triangle together. The sum would be the area of the trapezoid.
6 + 4.5 = 10.5 unit^2
figure 2
1. find the area of the rectangle
2*4 = 8 unit^2
2. find the area of both triangles
(1*4)/2 = 2 unit^2
3. add the area of the rectangle and the area of both triangles together. The sum would be the area of the trapezoid.
8 + 2 + 2 = 12 unit^2
800:2 in the simplest form
Answer:
400:1
Step-by-step explanation:
800:2
800/2:2/2
400:1
I would appreciate if someone could help me with this problem and answer it I will give you a brainlist :)
From a random sample of 16 people in a jail, the number of days remaining in each their sentences was noted. The 16 people have a mean remaining sentence of 645 days with a standard deviation of 31 days. Assume the population of remaining sentences is normally distributed. Construct a 95% confidence interval for the mean remaining sentence of all people in the jail. Round final answer to one decimal place.
Answer:
The 95% confidence interval for the mean remaining sentence of all people in the jail is between 628.5 days and 661.5 days.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 16 - 1 = 15
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.1315
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.1315\frac{31}{\sqrt{16}} = 16.5[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 645 - 16.5 = 628.5 days
The upper end of the interval is the sample mean added to M. So it is 645 + 16.5 = 661.5 days
The 95% confidence interval for the mean remaining sentence of all people in the jail is between 628.5 days and 661.5 days.
Students in an environmental science class raised money to buy plants for a community garden. The students raised money by selling regular cupcakes for $2.00 each and gluten-free cupcakes for $3.00 each. The number of regular cupcakes sold was determined to be 2 times the number of gluten-free cupcakes sold. If a total $350 was raised through cupcake sales over a three-week period, how many cupcakes were sold altogether
Answer:
50 gluten-free cupcakes and 100 regular cupcakes.
Step-by-step explanation:
Let's define the variables:
R = number of regular cupcakes sold
G = number of gluten-free cupcakes sold
The total amount of money raised then is:
M = R*$2.00 + G*$3.00
We also know that:
The number of regular cupcakes sold was 2 times the number of gluten-free cupcakes sold.
then:
R = 2*G
And we also know that the amount of money raised is $350
Then we have the equations:
R = 2*G
R*$2.00 + G*$3.00 = $350
We can replace the first equation into the second one, so we have only one variable:
(2*G)*$2.00 + G*$3.00 = $350
Now we can solve this for G.
G*$4.00 + G*$3.00 = $350
G*$7.00 = $350
G = $350/$7.00 = 50
G = 50
50 gluten-free cupcakes where sold.
And using the equation:
R = 2*G = 2*50 = 100
We can conclude that 100 regular cupcakes were sold.
Tara has two bags of marbles. Bag 1 contains 6 red marbles, 5 blue marbles, and 4 green marbles. Bag 2 contains 3 red marbles, 2 blue marbles, and 4 green marbles. Tara will randomly select 1 marble from each bag. What is the probability that Tara will select a red marble from each bag?
Answer: 26 - 6
Step-by-step explanation: i think sorry if rong
Find the range of the data. 26, 21, 27, 33, 24, 29
Answer:
33-21=9
Step-by-step explanation:
Vincent began his weekly chores on Saturday morning at 11:20 he worked for 1 hour and 15 minutes with a 10 minute break at what time did Vincent finish his chores
Answer:
12:45
Step-by-step explanation:
Step One: An hour after 11:20 is 12:20, plus 15 minutes is 12: 35.
Step Two: Just add 10 minutes, because it doesn't matter when you add the ten minutes.
9. Dawn has 338 peanuts and 13 boxes. If she wants to pack an equal number of peanuts in each box, how many peanuts will there be in each box?NO HACKERS AND I NEED ANSWERS QUICK
Answer:
26 in each box
Divide the total of 338 peanuts by 13 boxes (338÷13=26)
todo número tem?
o zero não é de nenhum número natural?
Answer:
0 não é um número natural.
Step-by-step explanation:
0 não é positivo ou negativo. Como todos os números naturais são inteiros positivos, não podemos dizer que 0 é um número natural.
Sumita buys a set of earphones for £12.17.
She pays with £15.
How much change does she get?
Give your answer in £.
Answer:
2.83
Step-by-step explanation:
Please give brainliest
Answer:
2.83
Step-by-step explanation:
Jeff has a square piece of art paper. He cuts across it from one corner to the opposite corner to make two pieces. What is the total number of sides and angles in both of the new shapes?
Answer:
The number of sides is 3 on each piece of paper, altogether there are 6 sides.
The total number of angles on a triangle is 180°, altogether the sum of both triangles is 360°
y-5=4x and y=4x-5 has no solution true of false?
Subtract 11x - 4y from the sum of 15x + 15y and - 18x + 15y.
Answer:
-14x + 34y
Step-by-step explanation:
First, find the sum of the two expressions by adding like terms:
(15x + 15y) + (-18x + 15y)
= -3x + 30y
Now, subtract 11x - 4y, again by combining like terms:
(-3x + 30y) - (11x - 4y)
= -14x + 34y
So, the answer is -14x + 34y
Which of the following are remote interior angles of Z6? Check all that apply.
4
1
5
2.
2
6
3
O A. 24
B. 21
O C. 22
O D. 25
E. <3
A F. 26
Answer:
B. <1
E. <3
Step-by-step explanation:
Remote interior angles are interior angles inside a triangle that are opposite to an exterior angle of the triangle.
<6 is an exterior angle. The remote interior angles that are opposite to <6 are <1 and <3.
Therefore, <1 and <3 are remote Interior angles of <6
They are away from <6.
The remote interior angles of ∠6 are ∠1 and ∠3
Remote interior angles:Remote interior angles are those angles that don't share a vertex or corner of a triangle with the exterior angle.
The remote interior angles are usually opposite of the exterior angles.
The remote interior angles of ∠6 are those angles interior angles that does not share a vertex with the ∠6(exterior angle).
Therefore, the remote interior angles of ∠6 are ∠1 and ∠3
learn more on remote interior angles:https://brainly.com/question/1585690
The mathematics faculty at a college consists of 7 professors, 4 associate professors, 4 assistant professors, and 6 instructors. If one faculty member is randomly selected, find the probability of choosing a professor or an instructor.
Answer:
0.619 = 61.9% probability of choosing a professor or an instructor.
Step-by-step explanation:
A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this question, we have that:
7 + 4 + 4 + 6 = 21 members
7 + 6 = 13 professors or instructors.
Find the probability of choosing a professor or an instructor.
p = 13/21 = 0.619
0.619 = 61.9% probability of choosing a professor or an instructor.
Find the surface area of the figure below
9514 1404 393
Answer:
144 square meters
Step-by-step explanation:
The formula for surface area of a cuboid is useful.
A = 2(LW +H(L+W))
A = 2((6 m)(6 m) +(3 m)(6 m +6 m)) = 2(36 m² +36 m²)
A = 144 m²
The surface area of the figure is 144 square meters.
Angle A corresponds to Angle
OB
Oc
ОЕ
OD
none of the above
Answer:
A corresponds to angle E
What is the scale factor from LMN to OPO?
A.1
Β. 4
C. 3
D. 0
Answer:
A. 1
Step-by-step explanation:
i’m so confused now helpppppppppp!!!!
An exterior angle is equal to the sum of the two opposite interior angles.
X = 125 + 30
X = 155
Answer:
26 put me brinliest pleae!!
Step-by-step explanation:
Exit
Use the table to answer the question.
Frank mows 1 lawn for $30. He made a table of values to show his earnings.
What error did Frank make in completing the table?
A. Frank multiplied 2 by 2 to get 4 and $60 by 2 to get $120.
B. Frank added $15 to $60 to get $75 instead of adding $30 to $60 to get $90.
C. Frank multiplied $15 by 5 to get $75 instead of multiplying $15 by 3 to get $45.
D. Frank incorrectly added to get the amount of money earned for mowing 4 lawns.
Answer:
B
Step-by-step explanation:
Calculate the area of the shape below.
Answer:
6 1/2 in^2
Step-by-step explanation:
(4(3 1/4)) / 2 = 6 1/2 in^2
Answer:
6 1/2 or 6.5 in2
Step-by-step explanation:
A= Bxh/2
4x 3.25/2= 6.5
A=6.5 of 6 1/2
What is the slope of the line that passes through the
points (5, 0) and (5, -3)?
Write an equation in slope-intercept form for the line with slope -8 and y-intercept 8. The. Graph is he line.
Answer:
y=-8x+8
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept
y=-8x+8
In August an online store sold 213 graphing calculators during their back to school sale. Since then, sales have increased at a rate of 5% each month. Which function can be used to determine the monthly calculator sales sine August?
Answer:
[tex]y = 213 + 0.05x[/tex]
Step-by-step explanation:
Given
[tex]Initial = 213[/tex]
[tex]Rate = 5\%[/tex]
The equation to o this is:
[tex]y = intial +rate * weeks[/tex]
[tex]y = 213 + 0.05x[/tex]
Nathaniel is using the quadratic formula to solve 0 = x2 + 5x - 6. His steps are shown below.
What are the solutions to the attached equation?
Answer:
x = -6, 1
Step-by-step explanation:
x=[tex]\frac{-5+\sqrt{49} }{2}[/tex] or x= [tex]\frac{-5-\sqrt{49} }{2}[/tex]
x=[tex]\frac{-5+7}{2}[/tex] or x=[tex]\frac{-5-7}{2}[/tex]
x=2/2 or x=-12/2
x = 1, -6
howdy!!
yr answer is B. x = -6, 1
goodluck on edge!! ^_^
Find ECD
E
-D
C
31°
A
B
Order the angle measures from least to greatest
help please
Answer:
m<B, m<C, m<A
Step-by-step explanation:
The length of sides and angle measures correspond. This means the angle opposite to the longest side is the largest, etc. The shortest side is AC, which is the opposite of <B, making it the smallest. Then, the same logic can be applied to <C which is the middle, and <A which is the largest. Therefore, from least to greatest the angles are m<B, m<C, m<A.
Celia made 3 1/2 cups of rice. a serving is 2/3 cup
How many servings of rice did Celia make
Answer:
5 1/4 .
Step-by-step explanation:
Given:
Celia made 3 1/2 cups of rice.
A serving of rice is 2/3 cup.
Now, to find the number of servings Celia make.
Celia made
So, to get the number of servings we use unitary method:
If 2/3 cup of rice is of 1 serving.
So, 1 cup of rice is of = =
Then 7/2 cup of rice is of
Thus, 7/2 cup of rice is of servings.
Therefore, Celia make servings.
Step-by-step explanation:
FAVORITE HAIKYUU SHIP GO!!
Answer:
Kageyama x Milk
Step-by-step explanation:
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ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !
Answer:
The first one and the fourth one
Step-by-step explanation:
I’m pretty sure that is right
Answer:
A and C in my options below!
Step-by-step explanation:
3^2*3^-6 = 0.0123456790123
A. (3^-2)^2 = 0.0123456790123
B. 2^-12 = 0.000244140625
C. 1/3^4 = 0.0123456790123
D. (3^7)/3^3 = 81