Answer:
5/247
Step-by-step explanation:
Slope is rise over run
10/494
Simplifying by dividing top and bottom by 2
5/247
Demonstrate 528 divide by 4 using 10 blocks and the scaffolding method
Find the value of the polynomial when x=1 and y=-2
Answer:
the answer is : ................
5
A collection of 39 coins consists of dimes and nickels. The total value is $2.75. How many dimes and how many nickels are there?
Answer:
23 nickels and 16 dimes
Step-by-step explanation:
16 dimes = 1.60
23 nickels = 1.15
1.60 + 1.15 = 2.75
In January 2013, a country's first-class mail rates increased to 52 cents for the first ounce, and 23 cents for each additional ounce. If Sabrina spent
$1742 for a total of 48 stamps of these two denominations, how many stamps of each denomination did she buy?
She bought
of the 52 cent stamps and
of the 23 cent stamps.
Answer:
She bought
22 of the 52 cent stamps and
26 of the 23 cent stamps.
Step-by-step explanation:
Given :
Total stamp increase = 48
Let number of 52 cent stamp = x
Number of 23 cent stamp = 48 - x
The cost equation :
0.52*x + 0.23*(48-x) = 17.42
0.52x + 11.04 - 0.23x = 17.42
0.52x - 0.23x = 17.42 - 11.04
0.29x = 6.38
x = 6.38 / 0.29
x = 22
Hence,
She bought 22 ; 52-cent stamps
And (48 - 22) = 26, 23-cent stamps
the height of a tower is 15m more than tiwce the height of a building find the height of the building if tower is 255m tall
Answer: 120m
Step-by-step explanation:
Let the height of the building be represented by x.
Since the height of a tower is 15m more than tiwce the height of a building, the height of the tower will be:
= (2 × x) + 15
= 2x + 15
Since the tower is 255m tall, therefore,
2x + 15 = 255
2x = 255 - 15
2x = 240
x = 240/2
x = 120
The height of the building is 120m
The distance that students drive to school is best modeled with a skewed right distribution that has a mean of 10 miles and a standard deviation of 2 miles. Suppose a sample of 100 students has been taken and the sample mean distance for the sample is calculated. Describe the shape of the sampling distribution of the sample mean
Answer:
The answer is "Approximately normal".
Step-by-step explanation:
sample size[tex]n=100[/tex]
Sample size [tex]n \geq 30[/tex]
It is because [tex]C \perp T[/tex] the sampling distribution of the sample means is approximately normal.
What can you tell about a triangle when vibe three side lengths
Answer:All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.
Hope it helps...
A candle is in the shape of a cylinder. The candle has a diameter of 6 inches and a height of 5 inches What is the volume of the candle? (Use 3.14
A. 94.2 cubic inches
B. 141.3 cubic inches
C. 150.7 cubic inches
D. 188.4 cubic inches
A brand of uncooked spaghetti comes in a box that is a rectangular prism with a length of 9 inches, a width of 3 inches, and a height of 3 1/2
inches. What is the surface area?
Answer:
[tex]Area = 138in^2[/tex]
Step-by-step explanation:
Given
[tex]L = 9; W =3; H =3\frac{1}{2}[/tex]
Required
The surface area
This is calculated as:
[tex]Area = 2(LW + LH + WH)[/tex]
So:
[tex]Area = 2(9*3 + 9*3\frac{1}{2} + 3*3\frac{1}{2})[/tex]
[tex]Area = 2(27 + 31\frac{1}{2} + 10\frac{1}{2})[/tex]
[tex]Area = 2*69[/tex]
[tex]Area = 138in^2[/tex]
Find the area of each sector. Round your answers to the nearest tenth.
Answer:
a = 117.3 cm²
Step-by-step explanation:
a = (1/2)∅r²
a = (1/2)(7π/6)(8²)
a = (1/2)(7 * 3.14159/6)(64)
a = 117.3 cm²
Identify the restrictions on the domain.
x+1x+9÷xx−4
x≠−1,4
x≠−9,4
x≠−1,0
x≠−9,0
[tex]Identify the restrictions on the domain. x+1x+9÷xx−4x≠−1,4x≠−9,4x≠−1,0x≠−9,0[/tex]
6!3! divided by 2!5!
Simplify the answer as much as possible.
Answer:
3/20
Step-by-step explanation:
Set up the quotient:
6!3!
------
2!5!
6! is equivalent to 6*5!, and so we have:
6*5!3! 6*5!3! 6*3*2*1 6
------------ which reduces to ------------- or ------------------- or ------------
2!5! 2!5! 2*5*4*3*2*1 (2)*5*4
3
This final result simplifies further to ---------------
20
The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards (according to GolfWeek). Assume that the driving distance for these golfers is uniformly distributed over this interval. a. Give a mathematical expression for the probability density function of driving distance. b. What is the probability the driving distance for one of these golfers is less than 290 yards
Answer:
a) [tex]f(x) = \frac{1}{25.9}[/tex]
b) 0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards
Step-by-step explanation:
Uniform probability distribution:
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
The probability of finding a value between c and d is:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
The probability of finding a value above x is:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
The probability density function of the uniform distribution is:
[tex]f(x) = \frac{1}{b-a}[/tex]
The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards.
This means that [tex]a = 284.7, b = 310.6[/tex].
a. Give a mathematical expression for the probability density function of driving distance.
[tex]f(x) = \frac{1}{b-a} = \frac{1}{310.6-284.7} = \frac{1}{25.9}[/tex]
b. What is the probability the driving distance for one of these golfers is less than 290 yards?
[tex]P(X < 290) = \frac{290 - 284.7}{310.6-284.7} = 0.2046[/tex]
0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards
PLEASE HELP FAST I NEED HELP WITH THIS!
Answer:
Step-by-step explanation:
13. Find the total number of coinsss
8+4+3+1
=16
First pick:
1/16
Second pick:
1/15
So I guess your chances are 1/16+1/15 ?
=31/240
hopefully
14.
add the sockss
3+4+3
= 10
First pick
1/10
Second Pick
1/9
Add them:
19/90
Forgive me if this is wrong
:,)
Geometry help pls and thank you :)
What is the area of this triangle?
Enter your answer in the box.
(answer) units²
Answer:
12
Step-by-step explanation:
bh/2
base is 8
height is 3
24/2
12
Answer:
12
Step-by-step explanation:
The formula to find the area of a triangle is the following,
[tex]A=\frac{b*h}{2}[/tex]
Where (b) and (h) are the base and height of the triangle. In this situation, one can see that the base (CB) equals (8) units. One can attain this number by counting the boxes between point (C) and point (B). The height is (3). This number is the distance from the point (A) to the side (CB). Substitute these values into the formula and solve for the area.
[tex]A=\frac{b*h}{2}[/tex]
Substitute,
[tex]A=\frac{8*3}{2}[/tex]
Simplify,
[tex]A=\frac{8*3}{2}\\\\A=\frac{24}{2}\\\\A=12[/tex]
Question 9
Find the volume.
Answer:
D. 50 yd³
Step-by-step explanation:
Volume of triangular pyramid = ⅓ * Base Area * height of pyramid
Base area = ½*b*h = ½*6*5
Base area = 15 yd²
height of pyramid = 10 yd
Volume of the triangular pyramid = ⅓*15*10
Volume of the triangular pyramid = 5*10
= 50 yd³
What is the slope of the line below?
(-2,4) (5,4)
A. Positive
B. Zero
C. Undefined
D. Negative
Answer:
B
Step-by-step explanation:
the slope is 0
the y intercept is ( 0,4 )
What is the Area of the shaded portion in the square.
Step-by-step explanation:
Area of the squre is pi -360/2
A furniture delivery truck leaves the store at 8 A.M. It travels 6 miles east, then 4 miles south, then 2 miles west and then 4 miles north.
At the end of this route, how far is the truck from the store?
Answer:
It's 4 miles East from the store.
Step-by-step explanation:
6 miles east - 2 miles west = 4 miles East
Displacement for north and south should cancel out since they are equal to each other.
A cafeteria manager can choose from among six side dishes for the lunch menu: applesauce, broccoli, corn, dumplings, egg rolls, or French fries. He uses a computer program to randomly select three dishes for Monday’s lunch.
Answer:
20%
Step-by-step explanation:
vrrggrgrhreah
what is the answer
help
Answer: With that assumption, we have a square, whose area is given by the formula Asquare=a2, and two semicircles. The distance D is simply the square's diagonal. The area of each semicircle is given by the formula Asemicircle=π*r2/2. then you will get your answer!
Larissa dives into a pool that is 8 feet deep. She touches the bottom of the pool with her hands 6 feet horizontally from the point at which she entered the water.
What is the approximate angle of elevation from the point on the bottom of the pool where she touched to her entry point?
36.9°
41.4°
48.6°
53.1°
Answer:
It would be 53.1
Step-by-step explanation:
Vote branlyist Please...
The approximate angle of elevation from the point on the bottom of the pool where she touched to her entry point is; D: 53.1°
What is angle of elevation?We are told that she dived into the pool that was 8 ft deep.
She touches the bottom with her hands 6 ft horizontally.
Thus, a triangle is formed here with 8 being the opposite side of the angle of elevation and 6 being the adjacent side of the triangle.
Using trigonometric ratios, we can say that;
θ = tan⁻¹(8/6)
θ = 53.1°
Read more about angle of elevation at; https://brainly.com/question/19594654
What is the equation of the line that is parallel to the line defined by the equation y = 3x + 6 and goes through the point (3, 2)?
options:
y = 2x – 1
y = 3x – 7
y = 2x + 4
y = 4x + 3
y = -2x + 9
Answer:
Step-by-step explanation:
Parallel lines have the same slope. The slope of the given line is 3. The easy way to do this, the one that uses our logical brains as opposed to our mathematical brain, tells us that since there is only one choice that has a given slope of 3, that is the one that we want. The second choice down is the only one that has a slope of 3.
Mathematically,
[tex]y-2=3(x-3)[/tex] and
[tex]y-2=3x=9[/tex] and
[tex]y=3x-9+2[/tex] so
y = 3x - 7 (the second choice)
Which of the following is not equal to a ratio of 5 to 2?
A. 25: 10 C.35: 15
B. 35: 14 D. 40:16
Answer:
C 35:15
Step-by-step explanation:
because 35:15 =5:3 so it is not equal to a ratio of 5 is to 2
Answer:
C
Step-by-step explanation:
If you simplify all the ratios, then you get the following:
A. 25/5 : 10/5 = 5:2
B. 35/7 : 14/7 = 5:2
C. 35/5 : 15/5 = 7:3
D. 40/8 : 16/8 = 5:2
Question 6,7 I needed the answer
Answer:
6.n/4
7.3/4time G or 0.75G
Step-by-step explanation:
6.3m+n/12-m-n/4=3m-3m+n+3n=4n/12=n/4
7.G=0.9a/1.2b G=3/4*a/b
Which of the following statements represents a correct relationship?
300 < 30
547 > 574
20,007 < 20,070
6,050 = 6,060
What is Limit of (3 x minus 3) Superscript five-halves Baseline as x approaches 4
Answer:
d 243
Step-by-step explanation:
The solution of given function is 243
What is limit of function?
A limit defined as the value which a function approaches as that function's inputs get closer and closer to some number
[tex]lim\ (3x-3)^\frac{5}{2} \\x\to 4[/tex]
[tex](3(4)-3)^\frac{5}{2}[/tex]
[tex](12-3)^\frac{5}{2}[/tex]
[tex](9)^\frac{5}{2}[/tex]
[tex](3^2)^\frac{5}{2}[/tex]
[tex]3^5[/tex]
243
Hence, the solution of given function is 243
Learn more about limit of function
https://brainly.com/question/23008590
#SPJ2
Determine the distance between points (x1, y1) and point (x2, y2), and assign the result to point Distance. The calculation is:
Given:
The two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].
To find:
The distance between given points.
Solution:
Plot the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] randomly randomly on a coordinate plane, then form a right angle triangle as shown in the below figure.
Now, the hypotenuse is the distance between the two points.
[tex]\text{Perpendicular}=y_2-y_1[/tex]
[tex]\text{Base}=x_2-x_1[/tex]
Using Pythagoras theorem,
[tex]\text{Hypotenuse}^2=\text{Base}^2+\text{Perpendicular}^2[/tex]
[tex]d^2=(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Taking square root on both sides, we get
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] [Distance is always positive]
Therefore, the distance between the two points is [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. It is also known as distance formula.
PLEASE HELP!!!!!!!!!!!!!!!!!!
Simplify the radical completely.
Answer:
D
Step-by-step explanation:
But basically, one by one you try moving the terms out of the radical.
75 is also 25 * 3 and since 25 has a perfect square root of 5 that goes out and 3 stays inside the radical.
x^3 is also x^2 * x and since x^2 has a perfect square root which is just x that goes outside while the remaining x stays inside.
y^9 is also y^8 * y and since we move variables out the radical in twos y^ goes outside the radical and y stays inside alone.
Finally, z is just z it can't be taken out so it stays inside the radical.
Hope that helps!
