Answer: 2 quarters
Step-by-step explanation: I know this because
Answer: $0.50
Step-by-step explanation:
Well, lets see what's 1 in money. $1. Now we need to half that, so 1/2 in money would be 50 cents or $0.50. Hope this helped.
A garden that is 103 of an acre is to be divided into 5 equal-size areas. What is the size of each area? ( fractions )
Answer:
2/3
Step-by-step explanation:
10 / 3 * 1/5 = 2/3
Is the aspirin produced by the World’s Best Pharmaceutical Company better than that of a competitor at relieving headaches? 200 headache sufferers are chosen at random. Migrained Testing Service administers the experiment and provides the results evaluation. Three levels are made: participants receive contents from Bottle A, Bottle B, or Bottle C. Other than the fact that one bottle contains placebo aspirin, no other information is given to the testing service regarding the bottles’ contents.
Complete question is;
Determine whether the experiment is blind or double blind.
Is the aspirin produced by the World’s Best Pharmaceutical Company better than that of a competitor at relieving headaches? 200 headache sufferers are chosen at random. Migrained Testing Service administers the experiment and provides the results evaluation. Three levels are made: participants receive contents from Bottle A, Bottle B, or Bottle C. Other than the fact that one bottle contains placebo aspirin, no other information is given to the testing service regarding the bottles’ contents.
a) blind study
b) double blind study
C) Neither
Answer:
Double blind study.
Step-by-step explanation:
We are told that participants receive contents from Bottle A, Bottle B, or Bottle C.
However, the testing service only knows that one bottle contains placebo aspirin but they don't know the other contents nor which of the participants is taking the one with placebo aspirin.
Thus, this is a double blind experiment because neither the participants nor the testing service have knowledge of who is taking the bottle that contains placebo aspirin unlike a blind experiment where the testing service will know which participants got the bottle containing aspirin.
given c(4,3) d(-4,-3) and cd is the diameter of the circle, find the radius of the circle
Answer:
use the distance formula to find the diameter of the circle. From there, you can divide the diameter in half to find the radius of the circle
Step-by-step explanation:
so... the distance formula is...
d = [tex]\sqrt{(x_{2} - x_1)^{2}+(y_2 - y_1)^{2} }[/tex]
so...you just substitute the values into the equation
d = [tex]\sqrt{(-4-4)^2 + (-3-3)^2}[/tex]
d = [tex]\sqrt{64+36}[/tex]
d = 10
so...that means the diameter is 10
to find the radius you do 10/2 because radius is half of the diameter
so the radius is 5
hope that helps...that took so long to write out
If m angle GEF is thirteen less than five times m angle DEG and m angle DEF = 149º, find m angle GEF.
def=149
gef=5x-13
deg=x
5x-13+x=149
6x=162
x=27
plug the x back in
5(27)-13=122
The value of <GEF is 122
what is angle?In geometry, an angle is formed when two rays are joined at their endpoints. These rays are called the sides or arms of the angle. Let us read about the different parts of an angle.
Parts of an Angle
There are two main parts related to an angle - the arms and the vertex.
Arms of the Angle
The two rays which join at a common point to form the angle are called the arms of the angle. Observe the figure given below which shows that OA and OB are the arms of the angle AOB.
<DEF=149
let <DEG be x
So,<GEF = 5x-13
Now
5x-13+x=149
6x=162
x=27
Hence, <GEF = 5(27)-13= 122
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A chef got 7 bags of onions. The red onions came in bags of 8 and the yellow onions came in bags of 3. If the chef got a total of 41 onions, how many bags of each type of onion did he get?
Answer:
[tex]\#\text{ of 8-onion bags: }4,\\\#\text{ of 3-onion bags: }3[/tex]
Step-by-step explanation:
Let [tex]a[/tex] be the number of bags with 8 onions and let [tex]b[/tex] be the number of bags with 3 onions. We have the following system of equations:
[tex]\begin{cases}a+b=7,\\8a+3b=41\end{cases}[/tex]
Subtracting [tex]b[/tex] from both sides of the first equation, we get [tex]a=7-b[/tex]. Substitute this into the second equation:
[tex]8(7-b)+3b=41,\\56-8b+3b=41,\\56-5b=41,\\-5b=-15,\\b=\boxed{3}[/tex]
Therefore, the number of 8-onion bags is:
[tex]a=7-b,\\a=7-3,\\a=\boxed{4}[/tex]
Thus, the chef got 4 8-onion bags and 3 3-onion bags.
A number cube is rolled 14 times and the results are recorded in the table.
What, in simplest form, is the experimental probability that the number cube shows 4?
A. 0
B. 1/6
C. 2/7
D. 5/14
Answer:
b
Step-by-step explanation:
The experimental probability that the number cube shows 4 is 2/7.
What is an experimental probability?Experimental probability is a probability that is determined on the basis of a series of experiments.
Given that, a number cube is rolled 14 times, we need to determine the experimental probability that the number cube shows 4,
The formula to calculate the experimental probability is:
P(E) = Number of times an event occurs/Total number of times the experiment is conducted
P(E) = 4/14 = 2/7
Hence, the experimental probability that the number cube shows 4 is 2/7.
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The distance travelled varies directly with time. Anthony ran 49.6 metres in 8
seconds. Write an equation for this relationship. Use let statements to define your
variables & write a conclusion statement to state your answer.
Answer:
D = kT
Step-by-step explanation:
Let the distance travelled be D.Let the time taken be T.Given the following data;
Distance, D = 49.6 meters.Time, T = 8 seconds.To write an equation for this relationship;
D = kT
Where;
k is the constant of proportionality.In conclusion, the distance travelled by Anthony is directly proportional to the time taken to travel that distance i.e an increase in the distance would cause an increase in the time taken to travel that distance and vice-versa.
Mr. Baldwin is packing the shipping box with ring boxes that are cubes with an edge length of 3/2 inches. If he completely fills the shipping box, how many ring boxes can he ship?
Answer:
10 ring boxes
Step-by-step explanation:
First, we need to calculate the total surface area of each cube ring boxes
The surface area of each square boxes = 6L²
Given that L =1.5inches
Total surface area = 6(1.5)²
Total surface area = 6(2.25)
Total surface area = 13.5in²
Since the question is incomplete. Let us assume the total surface area of the shipping box is 135in²
Number of ring boxes he can ship = 135/13.5
Number of ring boxes he can ship = 10
Hence the number of ring boxes he can ship is 10 ring boxes
NB: The total surface area of the shipping box was assumed
Estimate the answer to 7.1 × 0.0058.
Answer:
7.1 = 7
5.8 = 6
7x6 = 42
three decimal shift
.042
Step-by-step explanation:
A 12-foot ladder is leaning against the side of a building. The bottom of the ladder is 5 feet from the wall. How many feet above the ground does the ladder touch the wall?
A. 119−−−√ feet
A. square root of 119 feet,
B. 7 feet
B. 7 feet
C. 13 feet
C. 13 feet
D. 134−−−√ feet
Answer:
Option A, √119
Step-by-step explanation:
Let the height be x foot
12^2=5^2+x^2
or, x = ±√119
since distance can't be negative, so it's x = √119
Answered by GAUTHMATH
An airport runway measuring 450 m is drawn to a scale of 1 cm represent 100 m find its length in the drawing
Answer: 4.5cm
Step-by-step explanation:
From the information given in the question, we are informed that an airport runway measuring 450 m is drawn to a scale of 1 cm represent 100m, then the length in the drawing will be calculated thus:
Let the length be represented by x. Therefore, we'll have:
1/x = 100/450
Cross multiply
(100 × x) = (1 × 450)
100x = 450
x = 450/100
x = 4.5
Therefore, the length in the drawing is 4.5cm
construction of quadrilateral
Answer:
only construction
Step-by-step explanation:
it must have 4 sides
Ann is ordering an ice cream dessert. She must order a size, a flavor of ice cream, and a topping. There are 3 sizes, 1 flavor, and 4toppings to choose from. How many different ice cream desserts could she order?
Answer:
Only 1 flavour ??
Only 1 flavour ??anyway ....
Only 1 flavour ??anyway ....number of different ice cream desserts
desserts= 3 x 1 x 4
= 12
please help me divide this fractions, showboat work.
O_O
solution given;
36:5/5
38:86/69
To divide fractions, you basically just multiply the first fraction by the reciprocal of the second. To find the reciprocal, you just flip the numerator and the denominator.
For number 36, you have 2/3÷8/15. To solve this, you just multiply 2/3 by 15/8.
2/3×15/8 is 30/24, which is 5/4 or 1 1/4.
To answer the second problem, you have to convert the mixed numbers to improper fractions.
7 1/6 as an improper fraction is 43/6. 5 3/4 as an improper fraction is 23/4.
Do the same procedure; 43/6×4/23 is 86/69 or 1 17/69.
The probability that Dan buys a sandwich is 0.2.
The probability that Dan gets the bus is 0.9.
Assuming the events are independent, what is the probability that Dan buys a sandwich
and gets the bus?
Answer:
0.18
Step-by-step explanation:
Find the probability that both independent events occur by multiplying the individual probabilities by each other:
0.2(0.9)
= 0.18
So, the probability is 0.18
ME AYUDAN PORAVOR 1. Relaciona cada ecuación con su solución.
(Se deben presentar las operaciones correspondientes al finalizar este punto)
a. 5 + x = -5 ( ) 27
b. -17 + x = 0 ( ) – 5
c. 30 + x = 0 ( ) 30
d. x + (-27) = 0 ( )17
e. x + (-30) = 0 ( ) – 30.
Answer:
a. 5 + x = -5 (Subtraction) 0.
b. -17 + x = 0 (Addition) 17.
c. 30 + x = 0 (Subtraction) -30.
d. x + (-27) = 0 (Addition) 27.
e. x + (-30) = 0 (Addition) 30.
Step-by-step explanation:
In this exercise, students are required to match each equation with its solution. (The corresponding operations must be presented at the end of this point
a. 5 + x = -5 (Subtraction) 0.
x = -5 - 5
x = 0
b. -17 + x = 0 (Addition) 17.
x = 0 + 17
x = 17
c. 30 + x = 0 (Subtraction) -30.
x = 0 - 30
x = -30
d. x + (-27) = 0 (Addition) 27.
x - 27 = 0
x = 0 + 27
x = 27
e. x + (-30) = 0 (Addition) 30.
x - 30 = 0
x = 0 + 30
x = 30
Linear equation: -1
2
(6x + 10) = 13
Step 1: –3x – 5 = 13
Step 2: –3x = 18
Step 3: x = –6
Which sequence describes the inverse operations used for steps 2 and 3 to solve the linear equation?
Answer:
see below
Step-by-step explanation:
-1/2 * (6x + 10) = 13
Distribute -1/2
–3x – 5 = 13
Add 5 to each side
-3x-5+5 = 13+5
–3x = 18
Divide each side by -3
-3x/-3 = 18/-3
x = -6
What is the value of X?
Answer:
x=2
Step-by-step explanation:
A line that intersects a circle in two points is called a secant line, and this is the case for both line DE and AE.
For two secant lines that intersect outside of the circle, such as the ones here, we can say that
CE * DE = BE * AE
Therefore, we need to then define these lines.
CE is x+4, BE is x+1, AE = (BE + AB) = 11+x+1 = 12+x, and DE = (CE + DC) = 1+x+4 = 5+x
We then have
(x+4) * (5+x) = (x+1) * (12+x)
expand
5x + x² + 20 + 4x = 12x+x²+12+x
x²+9x + 20 = x²+13x+12
Next, we want to congregate all values to one side so we can solve for x. This can be done by subtracting both sides by (x²+13x+12) to get
-4x + 8 = 0
subtract 8 from both sides to isolate the x and its coefficient
-4x = -8
divide both sides by -4 to isolate the x
x = 2
The mean of a normally distributed set of data is 53 with a standard deviation of
6. Approximately 95% of all cases are expected to be between...
Answer:
2 standard deviations of the mean. so, 41 to 65
Step-by-step explanation:
from the empirical rule we know that for 95% we are in 2 standard deviations of the mean. so:
53- 6- 6 = 41
*2 minus 6s because 2 standard dev. with the mean
53 + 6 + 6 = 65
what is 9 x 8 + 6 - 98 +67?
Answer:
47
Your answer is this.
Hope it will help you
Use the graph to find the factorization of x2 - 5x + 4.
10
y = x2.5x + 4
-10
10
10
O A. (x + 2)(x - 2)
B. (x - 1)(x-4)
O C. (x + 2)(x+4)
O D. (x + 1)(x + 4)
Answer: B. (x - 1) (x - 4)
Concept:
Here, we need to know the idea of zeros.
The zeros of a quadratic equation are the points where the graph of the quadratic equation crosses the x-axis.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
By definition, the factored form of quadratic equations is basically their zeros.
STEP ONE: Find the zeros / x-intercept of the graph
The grid number is 2 per grid as 5 grids are 10 units.
The first intercept is between the y-axis and the first grid.
2 / 2 = 1The second intercept is on the second grid.
2 × 2 = 4STEP TWO: Plug the zeros into factorization form
Factor form = (x - x₁) (x - x₂)
x₁ = (1, 0)
x₂ = (4, 0)
Factorization of x² - 5x + 4 = (x - 1) (x - 4)
Hope this helps!! :)
Please let me know if you have any questions
The range of cells in column D and rows 1 to 10 is represented as:
1:10 D1:D10 D:D
Answer:
how?
Step-by-step explanation:
I didnt get question
Prove ABCD is a parallelogram by showing both pairs of opposite sides are parallel
PLEASE SHOW WORK !!
Answer:
I'm not sure
Step-by-step explanation:
I'll come back later to help
2. Two lines are represented by equations: 2x + 4y = 21 and y = kx - 12. What value of k will
make lines parallel?
Answer:
-1/2
Step-by-step explanation:
- arrange the equation in the y=mx+b form
2x + 4y =21, subtract 2x from both sides of the equation
4y= -2x +21 , divide both sides by 4
y= -1/2x +21/4
-compare the slopes m of the 2 equations
y= kx -12, has the slope k
y= -1/2x +21/4, has the slope -1/2
- If the lines are parallel then they have the same slope
Therefore, k= -1/2
tan^2 theta - cot^2 theta = sec^2 theta (1-cot^2 theta)
Answer:
Based on two Pythagorean Identities:
1 + tan²θ = sec²θ1 + cot²θ = csc²θsec²θ(1 - cot²θ)
= sec²θ - sec²θ · cot²θ
[tex]=\frac{1}{cos ^{2} \theta} -\frac{1}{cos ^{2}\theta }*\frac{cos ^{2}\theta}{sin^{2} \theta}\\\\=\frac{1}{cos ^{2}\theta }-\frac{1}{sin^{2}\theta }\\\\=sec^{2}\theta-csc^{2}\theta\\\\=1+tan^{2}\theta-(1+cot^{2}\theta)\\\\=1+tan^{2}\theta-1-cot^{2}\theta\\\\=tan^{2}\theta-cot^{2}\theta[/tex]
Santiago is an election officer. On election day, he travels from his home to the polling place, which is 5.4 miles away. What is the distance between Santiago's home and the polling place on a map with a scale of 1 inch : 0.6 miles?
Answer:
9 inches
Step-by-step explanation:
5.4/0.6=9
-3 , 1 , 5 , 9 , 13
find the 11th term of this sequence
show your working
Answer:
a₁₁ = 37
Step-by-step explanation:
There is a common difference between consecutive terms, that is
1 - (- 3) = 5 - 1 = 9 - 5 = 13 - 9 = 4
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3 and d = 4 , then
a₁₁ = - 3 + (10 × 4) = - 3 + 40 = 37
Edwin hiked to a famous point with a beautiful view. It took 2 hours and 55 minutes to hike to the viewpoint and 25 minutes to hike back. Edwin spent 25 minutes enjoying the view at the top. He finished the hike at 11:45 A.M. What time did Edwin start the hike to the viewpoint?
Answer:
= 8:00 A.M.
Step-by-step explanation:
▪You first find the total time taken which will be :
2 hrs 55 min + 25 min
= 3 hrs 20 min + 25 min
= 3 hrs 45min
▪ Beginning time = Arrival time - Time taken
= 11:45 - 3:45
= 8:00 am
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Which of the following is the correct factorization of the polynomial below?
x3 + 10x2 + 25x
A. x(x + 5)(x - 5)
B. (x2 + 2x - 5)(x-10)
C. (x2 + 5x - 2)(x-10)
D. x(x + 5)2
Answer:
x(x+5)^2
Step-by-step explanation:
x^3 + 10x^2 + 25x
Factor out x
x(x^2+10x+25)
What 2 numbers multiply to 25 and add to 10
5*5 = 25
5+5 =10
x(x+5)(x+5)
x(x+5)^2
Answer:
D
Step-by-step explanation:
Given
x³ + 10x² + 25x ← factor out x from each term
= x(x² + 10x + 25) ← perfect square
= x(x + 5)²
Suppose the line y = 2.8333x - 22.4967 describes the relation between the club-head speed (in miles per hour), x and the distance a golf ball travels (in yards), y.
(a) Predict the distance a golf ball will travel if the club-head speed is 100 mph.
(b) Suppose the observed distance a golf ball traveled when the club-head speed was 100 mph was 265 yards. What is the residual?
(c) The golf ball will travel 260.8 yards. (Round to the nearest tenth as needed.)
(d) The residual is:_________ (Round to the nearest tenth as needed.)
Answer:
c) The golf ball will travel 260.8 yards.
d) Hence the residual is 4.2 yards.
Step-by-step explanation:
c) y' = 2.8333x - 22.4967
Now the golf ball will travel [tex]= 2.8333\times100 - 22.4967[/tex]= 260.8 yards
here y'= 260.8 yards.
d) The residual is : y - y' = 265 - 260.8 = 4.2 yards.
Answer:
a) [tex]y=260.8333~yd[/tex]
b) [tex]\Delta d=4.1667~yd[/tex]
c) [tex]y=260~yd[/tex]
d) [tex]\Delta y'=0.8333~yd[/tex]
Step-by-step explanation:
Given:
equation of line, [tex]y=2.8333x-22.4967[/tex]
x = club-head speed (in miles per hour)
y = the distance a golf ball travels (in yards)
a)
x = 100 mph
Then the distance travelled by the ball:
(put the given value of x in the above eq.)
[tex]y=2.8333\times 100-22.4967[/tex]
[tex]y=260.8333~yd[/tex]
b)
If the observed distance in the above case comes out to be 265 yards then the residual value will be:
[tex]\Delta d=265-260.8333[/tex]
[tex]\Delta d=4.1667~yd[/tex]
c)
From the calculated value when rounding it to the nearest tenth:
[tex]y=260~yd[/tex]
d)
The residual on rounding the calculated value to the nearest tenth:
[tex]\Delta y'=260.8333-260[/tex]
[tex]\Delta y'=0.8333~yd[/tex]