Answer:
2π|b| 2 π | b
Step-by-step explanation:
Terry has 3 pairs of pants: black, khaki, and brown, and 4 shirts: yellow, red, blue, and white. He does not care which colors he wears together. If Terry chooses one pair of pants and one shirt at random, what is the probability that his outfit will be the black pants with the yellow shirt?
Answer:
1/12 my guy
Step-by-step explanation:
There really isn't one
Answer:
Would be 0.08333 or 1/12
Step-by-step explanation:
2. A box contains 6 red marbles, 9 blue marbles and 5 white marbles. The marbles are selected at random, one at a time,
and are not replaced. Find the compound probability
Answer:
?
Step-by-step explanation:
1.add all numbers up.
2. put each number onto a fraction.
3. then the rest you should know
A circle is shown. 4 radii are drawn. Chords are drawn to connect the radii points on the circle to form 2 triangles. The triangles have base lengths of 6 centimeters and the other 2 sides have lengths of 5 centimeters. The distance between the base of the triangle to the outline of the circle is 1 centimeter. Everything around the triangles is shaded. What is the area of the shaded region? (25π – 48) cm2 (25π – 30) cm2 (25π – 24) cm2 (25π – 12) cm2
Answer:
Area of Shaded Region = (25π - 24) cm²
Step-by-step explanation:
See attachment
From the attached, the following observations are made;
Radius, r = 5cm
Base of triangles = 6cm.
Required
Area of shaded region.
If the distance between the base of the triangle to the outline of the circle is 1cm then the height of the triangle is 1cm less than the radius
Height = 5cm - 1cm
Height = 4cm
To calculate the area of the shaded region, we first calculate the area of the circle.
Area = πr²
Substitute 5 for r
Area = π * 5²
Area = π * 25
Area = 25π cm²
Then we calculate the area of both triangles
Area of 1 triangle is calculated as follows.
Area = ½ * base * height
Substitute 4 for height and 6 for base.
Area = ½ * 4 * 6
Area = 2 * 6
Area = 12cm²
Since both triangles are equal.
Area of two triangles = 2 * Area of 1 triangle
Area = 2 * 12cm²
Area = 24cm²
Having calculated the area of the circle and that of both triangles.
Area of shaded region = Area of Circle - Area of Triangles
Area of Shaded Region = 25π cm² - 24 cm²
Area of Shaded Region = (25π - 24) cm²
Answer:
The third one
Step-by-step explanation:
what is the length of a diagonal of a cube with a side length of 1 cm?
Answer:
sqrt3 or about 1.7
Step-by-step explanation:
length^2 + Width^2 + Height^2 = Diagonal^2
so 1 + 1 + 1 = 3, which when square rooted equals
sqrt3 or about 1.7
Answer:
b
Step-by-step explanation:
edg
A savings account balance is compounded continuously.If the interest rate is 3.1% per year and the current balance is 1077.00 in how many years will the balance reach 1486.73?
Answer:13.8 is the best answer i could get
Step-by-step explanation:1,077 multiply that × 13.8 =14,862
Alice has 1/6 of a bowl of cereal Allison her brother wants to split the cereal equally which expression represents the fraction of the box of cereal that Alice gets
Answer:
it would be 1/6 divided by 2, or the seond option.
Step-by-step explanation:
To split something equally, you'd divide it in half. In other words, you'd be dividing it by 2.
Therefore, it would be 1/6 divided by 2, or the seond option.
I hope this helped and have a good rest of your day!
Geometry Question!!!!
Answer:
D
Step-by-step explanation:
If AB is a tangent, then angle A must be a right angle.
If angle A is a right angle, then triangle ABC is a right triangle and will work in the Pythagorean theorem formula.
a^2 + b^2 = c^2
8^2 + 16^2 = 20^2
64 + 256 = 400
320 = 400
Since 320 = 400 is false, angle A is not a right angle, and AB is not a tangent to circle C.
Answer: D
Which expression below does not give the area of this figure?
Answer:
ab+ac does not give the area of this figure.
Step-by-step explanation:
In every situation here except this one, a and b are being added to each other. a and b are on the same side. This means that they cannot be multiplied together and result in the area.
The answer is (a b+ ac) does not give the area of this figure.
What is area of a rectangle?Area of a rectangle (A) is the product of its length (l) and width (w).
A= l. w
Here, we have,
In every situation here except this one, a and b are being added to each other. a and b are on the same side. This means that they cannot be multiplied together and result in the area.
Hence, correct answer is (a b+ ac) does not give the area of this figure.
To learn more on Area click:
brainly.com/question/20693059
#SPJ2
Sumara Kato's savings account has a balance of $1663. After 19 years, how much interest
will she have earned if her rate is 5.5% compounded annually?
(1) $3159.70 (2) $2936.27 (3) $2942.27
(4) $2925.27
Answer: $2936.27
Step-by-step explanation:
Present value = $1663
Rate = 5.5%
Time(n) = 19years
Future value= PV(1+r)^n
= 1663(1+5.5%)^19
= 1663(1.055)^19
=1663 × 2.766
=4599.86
Interest = Future value - Present value
= $4599 - $1663
= 2936
John's dog Fido is tied to a post in his backyard. Fido's leash is 8.5 feet long. Determine how much circular roaming area Fido has in the backyard to the nearest square foot. (Use 3.14 to represent π)
Answer:
227 ft^2
Step-by-step explanation:
Here, we are tasked with calculating the roaming area that Fido has
Calculating this is same as calculating the area of circle that has a radius which is equal to the length of the leash
Mathematically, the area would be
A = π * r^2
A = 3.14 * 8.5^2
A = 226.865 ft^2
To the nearest square foot, this is 227 ft^2
Find the length of the third side to the nearest tenth.
Answer:
What’s the third length?..
Step-by-step explanation:
solve system of linear equations by substitution -2x+9y=15
x+7=4
Answer:
1
Step-by-step explanation:
-2x+9y=15
x+7=4
Solve for X.
x +7=4
-7. -7
x = -3
Plug in X into the first equation
-2(-3) + 9y = 15
6 + 9y = 15
-6. -6
9y = 9
Divide by 9 on both sides
9/9=1
Answer:
x = -3. | y = 1. | (-3,1)
Step-by-step explanation:
-2x+9y=15
x+7=4
-7. -7
x= -3
-2(-3) + 9y =15
6 + 9y= 15
-6. -6
9y = 9
÷9. ÷9
y = 1
Describe two different ways you could change the values in the table so that the answer to problem 6 is different.
Answer:
Um theres no question or picture. Or document.
Step-by-step explanation:
what’s the answer for this question
Answer:
1pi or approximately 3.14
area of a Circle is: (pi)(r)^2
so of you plug the formula in for this equation you get
(pi)(1)^2= 1pi or approximately 3.14 which ever your teacher prefers.
PLEASE ANSWER I WILL MARK BRAINLIEST!!!!!!!!!!!!!!
Answer:
1.5 timesbottle Ythird bottleStep-by-step explanation:
Insufficient dimensions are given to compute an exact volume of each geometry, so we have to assume that the volume is proportional to the product of base area and height. Then the relative volumes will be ...
bottle X: (6 in)(2 in)(1 in) = 12 in^3
bottle Y: (4 in)(3 in)(1.5 in) = 18 in^3
3rd bottle: (3 in)(6 in^2) = 18 in^3
That is, the relative volumes are ...
X : Y : 3rd = 12 : 18 : 18 = 1 : 1.5 : 1.5
The corresponding relative prices are ...
X : Y : 3rd = 9.96 : 14.40 : 13:20 = 1 : 1.446 : 1.325
__
A. Bottle Y has 1.5 times as much lotion as Bottle X.
__
B. Bottle Y is a better buy than Bottle X. (The price relative to X is less than the volume relative to X.)
__
C. The 3rd bottle is the best buy. For the same volume, the price of the 3rd bottle is less than that of Bottle Y.
_____
Note that the relative volume and price ratios are found by dividing all the numbers in the ratio sequence by the first number:
12 : 18 : 18 = (12/12) : (18/12) : (18/12)
9.96 : 14.40 : 13.20 = (9.96/9.96) : (14.40/9.96) : (13.20/9.96)
Sue invested $1,000 at an interest rate of 4% compounded semiannually. How much money
would she have in 3 years?
Answer:
She would have $1,126.16 in 3 years.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.
In this question:
Invested 1000, which means that [tex]P = 1000[/tex].
Interest of 4%, so [tex]r = 0.04[/tex]
Semianually is twice a year, so [tex]n = 2[/tex]
How much money would she have in 3 years?
This is A(3).
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(3) = 1000(1 + \frac{0.04}{2})^{6} = 1,126.16[/tex]
She would have $1,126.16 in 3 years.
Which property of equality could be used to solve -3x = 348? A. addition property B. subtraction property C. division property D. multiplication property
Answer:
B:subtraction property
Step-by-step explanation:
)) A triangle has sides with lengths of 5 inches, 12 inches, and 13 inches. Is it a right
triangle?
yes
no
Answer:Yes
Step-by-step explanation:
Given
Triangle has sides
length [tex]a=5\ in.[/tex]
[tex]b=12\ in.[/tex]
[tex]c=13\ in.[/tex]
If the triangle is Right angled then it must satisfy the Pythagoras rule
[tex](\text{Perpendicular})^2+(\text{base})^2=(\text{Hypotenuse})^2[/tex]
[tex](a)^2+(b)^2=(c)^2[/tex]
[tex]5^2+12^2=13^2[/tex]
[tex]25+144=13^2[/tex]
[tex]169=13^2[/tex]
[tex]13^2=13^2[/tex]
Therefore The given triangle is right angled
2(-n -3) - 7(5+2n)
Simplify to create an equivalent expression
[tex]\text{Simplify:}\\\\2(-n -3) - 7(5+2n)\\\\\text{Use the distributive property}\\\\-2n-6-35-14n\\\\\text{Combine like terms}\\\\-2n-6-35-14n\\\\-16n-6-35\\\\\boxed{-16n-41}[/tex]
Trapezoid EFGH is inscribed in a circle, with [tex]EF \parallel GH[/tex]. If arc GH is 70 degrees, arc EH is x^2 - 2x degrees, and arc FG is 56 - 3x degrees, where x > 0, find arc EPF, in degrees.
Answer:
Arc EPF is 240°
Step-by-step explanation:
Since the quadrilateral, EFGH is a trapezoid and EF is parallel to GH, we have;
∠HGF + ∠GFE = 180°
∠GHE + ∠GFE = 180°
∠HGF + ∠HEF = 180°
∴∠HEF = ∠GFE
In ΔHEF and ΔGFE
∠EHF = ∠EGF (Angles subtending the same segment)
With side EF common to both triangles and ∠HEF = ∠GFE , we have;
ΔHEF ≅ ΔGFE (Angle Angle Side rule)
Hence, side FG = EH
For cyclic trapezoid side FG = EH
The base angles subtended by GH = 70
Arc EH = x² - 2·x
Arc FG = 56 - 3·x
Therefore;
70 + x² - 2·x + 56 - 3·x + arc EPF = 360 .............(1)
Also since the equation of a circle is (x-h)² + (y-k)² = r², where the center of the circle is (h, k), then as EF is a displacement of say z from GH, then arc EH = FG which gives;
x² - 2·x = 56 - 3·x
x² - 2·x - 56 + 3·x = 0
x² + x - 56 = 0
(x - 7)(x + 8) = 0
Therefore, since x > 0 we have x = 7
Plugging in the value of x into the equation (1), we have
70 + 7² - 2·7 + 56 - 3·7 + arc EPF = 360 .............(1)
70 + 70 + arc EPF = 360
arc EPF = 360 - 140 = 240°.
Please help me now plz I will mark you brainliest
Answer: C. Outside the circle.
Step-by-step explanation:
To find whether point M lies on the circle, first derive the equation of the circle from the radius and center given.
Equation of a circle:
[tex](x-h)^2 + (y-k)^2=r^2[/tex]
Substitute the coordinates (0, 0) for h and k, and 2 times the square root of 3 for r:
[tex]x^2 + y^2 = 12[/tex]
Now, substitute the points (-3, 2) for x and y:
[tex]9 + 4 = 12[/tex]
This equation is incorrect, as the (x, y) coordinates produce a greater value than the radius of the circle squared. When this occurs, the point given is outside of the circle.
(A point like (1, 1), when substituted into the equation and solved to get 1 + 1 = 12, would be inside the circle, as its (x, y) coordinates produce a smaller value than the radius of the circle squared.)
As such, the correct answer is C.
Dale can type 32 words in 8 minutes.
What is his rate in words per minute?
Answer:4 words per minute.
Step-by-step explanation:32 divided by 8 is 4.
Noah says: I am thinking of a number (s)
when I multiply it by 7 and add 19, the answer is 124
what is Noah's number
(s) = ?
Answer:
s = 15Step-by-step explanation:
s*7 + 19 = 1247s = 124 - 197s = 105s = 105/7s = 15Solve the equation.
-9x + 1 = -x + 17
X=-8
O X=-2
X = 2
X = 8
Answer:
-9x + x = 17 – 1
8x = 16
X = 16/8
X=2
I NEED HELP NOWwwwwwww
Answer:
523 cm^3
Step-by-step explanation:
The volume of a sphere is
V = 4/3 pi r^3
V = 4/3 (3.14) (5)^3
V = 523.33333
Rounding to the nearest whole number
V = 523
Please help!! Due at 12 AM please!! Will help you !!! I do have another question that i posted
that has NOT been answered so if u can help with that also.
Answer:
Rocket A: The x-intercept= (0,0) and (7,0)
Maximum= (3.5, 220.5) *idk if your teacher wants x's or y's
Average Rate of Change over [0,2]= 90
Rocket B: The x-intercepts are=(0,0) and (4,0)
Maximum=(2,32)
Average Rate of Change over [0,2]= 16
Rocket A is faster
Step-by-step explanation:
Rocket A: graph on demos
when x is 2 y is 180 180/2=90
Rocket B: i graphed the points on demos and imagined maximun of the graph
(it also tell you the x-intercepts)
32/2=16
Hope this helps
5x – (9x + 14) < 3(x + 10) - 2
Answer:
5x-(9x+14)=−4x−14
3(x+10)-2=3x+28
So, 3(x+10)-2 is greater than 5x-(9x+14)
A road bike has a wheel diameter of 622 mm. What is the circumference of the wheel? Use 3.14 for Pi.
976.24 mm
976.54 mm
1,852.08 mm
1,953.08 mm
Answer:
4th option: 1953.08 mm
Step-by-step explanation:
circumference of circle= [tex]\pi d[/tex]
Thus, circumference of wheel
[tex] = 3.14(622) \\ = 1953.08mm[/tex]
Answer:
D.
Step-by-step explanation:
Suppose that the mean time that visitors stay at a museum is 94.2 minutes with a standard deviation of 15.5 minutes. The standard error of the mean,ox, is 3.1. A random sample of 25 of the times chosen. What interval captures 68% of the means for random samples of 25 scores?
Answer:
[tex] 94.2 -0.994*3.1 = 91.1186[/tex]
[tex] 94.2 +0.994*3.1 = 97.2814[/tex]
And the 68% confidence interval is given by (91.1186, 97.2814)
Step-by-step explanation:
For this case we know that mean time that visitors stay at a museum is given by:
[tex] \bar X = 94.2 [/tex]
The standard deviation is given by:
[tex] s= 15.5[/tex]
And the standard error is given by:
[tex] SE = \frac{s}{\sqrt{n}} =3.1 [/tex]
And we want to interval captures 68% of the means for random samples of 25 scores and for this case the critical value can be founded like this using the normal standard distribution or excel:
[tex] z_{\alpha/2}= \pm 0.994[/tex]
We can find the interval like this:
[tex] \bar X \pm ME[/tex]
And replacing we got:
[tex] 94.2 -0.994*3.1 = 91.1186[/tex]
[tex] 94.2 +0.994*3.1 = 97.2814[/tex]
And the 68% confidence interval is given by (91.1186, 97.2814)
Grace made a dot plot showing the distances she ran each day for two weeks. She says that she usually runs 7 miles each day because that is the distance that occurs most often. Do you agree with Grace's reasoning?
Answer: No
Step-by-step explanation:
Because Mode is not the best centre of tendency use for statistical data. And mode cannot be used for average.
Mean should be used for average values
Answer:
da ba dee da ba doo im blue
Step-by-step explanation:
Grace made a dot plot showing the distances she ran each day for two weeks.
She says that she usually runs 7 miles each day because that is the distance that occurs most often.
Do you agree with Grace’s reasoning?
Use the drop-down menus to explain and show your answer.
Dot plot named as ALTDCDistances RunALTDC has number line from 1 to 7. 1 dot on 1, 3 dots on 2, 3 dots on 3, 3 dots on 4 and 4 dots on 7 are given.
The mode, which is (3,4, or 7) ,(is or is not) a typical distance for the data. The median, which is (3.5,4, or 7),(is or is not) a typical distance for the data. The mean, which is (3,4, or 7) ,(is or is not) a typical distance for the data. So, Grace’s reasoning(is or is not ) correct.
