Answer:
x < -4-4 > xExplanation:
Both of these inequalities are describing that the value of x is less than negative four, as observable by the solution set graphed on the number line.
Find the area and the circumference of a circle with diameter 10 m.
Write your answers in terms of pi, and be sure to include the correct units in your answers.
Step-by-step explanation:
area of a circle= πr²
and r= half diameter
therefore we have r=10/2=5
area= 5² x π
area= 25π
circumference=2πr
circumference= 2xπx5
circumference=10π
a rectangle has a base of 10 and height of 12 what is its area
Answer:
120 units squared
Step-by-step explanation:
20% of the patron's order the chef's special. The probability that 2 out of the next ten customers will order the chef's special is
Answer:
[tex]P(x =2) = 0.3020[/tex]
Step-by-step explanation:
Given
[tex]p =20\% = 0.20[/tex]
[tex]n = 10[/tex]
Required
[tex]P(x = 2)[/tex]
This question is an illustration of binomial distribution where:
[tex]P(X = x) = ^nC_x * p^x * (1 - p)^{n-x[/tex]
So, we have:
[tex]P(x =2) = ^{10}C_2 * 0.20^2 * (1 - 0.20)^{10-2}[/tex]
[tex]P(x =2) = ^{10}C_2 * 0.20^2 * 0.80^8[/tex]
This gives
[tex]P(x =2) = \frac{10!}{(10 - 2)!2!} * 0.20^2 * 0.80^8[/tex]
[tex]P(x =2) = \frac{10!}{8!2!} * 0.20^2 * 0.80^8[/tex]
Expand
[tex]P(x =2) = \frac{10*9*8!}{8!2*1} * 0.20^2 * 0.80^8[/tex]
[tex]P(x =2) = \frac{10*9}{2} * 0.20^2 * 0.80^8[/tex]
[tex]P(x =2) = 45 * 0.20^2 * 0.80^8[/tex]
[tex]P(x =2) = 0.3020[/tex]
The probability that 2 out of the next ten customers will order the chef special is 0.3020. and this can be determined by using the binomial distribution.
Given :
20% of the patron's order the chef's special. Sample size, n = 10To determine the probability formula of the binomial distribution is used, that is:
[tex]\rm P(x = r) = \; ^nC_r \times p^r \times (1 - p)^{n-r}[/tex]
Now, at n = 10 and r = 2, the probability is given by:
[tex]\rm P(x = 2) = \; ^{10}C_2 \times (0.2)^2 \times (1 - 0.2)^{10-2}[/tex]
[tex]\rm P(x = 2) = \; ^{10}C_2 \times (0.2)^2 \times (0.8)^{10-2}[/tex]
[tex]\rm P(x = 2) = \; \dfrac{10!}{(10-2)!\times 2!} \times (0.2)^2 \times (0.8)^{8}[/tex]
[tex]\rm P(x = 2) = \; 45 \times (0.2)^2 \times (0.8)^{8}[/tex]
P(x = 2) = 0.3020
The probability that 2 out of the next ten customers will order the chef special is 0.3020.
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Can someone please help, ty!
Will mark brainliest!
Answer:
I and II
Step-by-step explanation:
I used a graphing calculator to find the answers.
Write a recursive rule for -3, -1, 2,6,11
Answer:
números enteros que comprende a los positivos y negativos
Which of the following functions has a vertical asymptote at x=3?
Answer:
the last one: f(x) = 1/(x-3)
Step-by-step explanation:
Vertical asymptote at x=3 means dividing by zero for x=3. If you examine all denominators with x=3, you find that the last one divides by zero (3-3).
Given f (x) = StartLayout Enlarged left-brace first row x squared minus one-third x, for x not-equals negative 1 second row negative 1, for x = negative 1 EndLayout. What is Limit of f (x) as x approaches negative 1?
Negative five-thirds
Negative four-thirds
Four-thirds
Five-thirds
Answer:
It's C, 4/3! Just did the question and got it right
Step-by-step explanation:
The limit of f(x) as x approaches negative 1 is four thirds.
What is Limits?Limits are defined as the value of a function as the input approaches a certain number. Limits are the concepts used essentially in calculus to define continuity, integrals and derivatives.
Given function is,
[tex]f(x) =\left \{ {{x^{2} -\frac{1}{3}x, x\neq -1 } \atop {-1, x=-1}} \right.[/tex]
We have to find the value of the limit as x approaches to negative 1.
This is not the same value as the value of the function at negative 1. Limit of the function as x approaches some value is the value of the function which is closest to the exact value of the function at the input.
We have,
f(x) = x² - [tex]\frac{1}{3}[/tex] x when x ≠ -1
Substitute x = -1 in the above equation
x² - [tex]\frac{1}{3}[/tex] x = (-1)² - (1 / 3) (-1)
= 1 + [tex]\frac{1}{3}[/tex]
= [tex]\frac{4}{3}[/tex]
[tex]\lim_{x \to -1} x^{2} -\frac{x}{3}[/tex] = [tex]\frac{4}{3}[/tex]
Hence the limit of f(x) = x² - [tex]\frac{1}{3}[/tex] x when x tends to -1 is 4/3.
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Please help with this problem
Answer:
9/13 should be the answer
Explanation:
does not have a sister & has a brother / does not have a sister & has a brother + does not have a sister & does not have a brother =
9 / (9 + 4) = 9 / 13
Which best describes the relationship between the successive terms in the sequence shown?
9, -1, -11, -21,
The common difference is -10,
The common difference is 10
The common ratio is -9)
The common ratio is 9.
Answer:
the common difference is 10
What is the common ratio between successive terms in the sequence?
2, 4, 8, -16, 32, -64,
Ο Ο Ο Ο
2
Step-by-step explanation:
[tex]r = \frac{4}{2} \\ r = 2[/tex]
Answer:
-2
Step-by-step explanation:
The "common ratio" is the number you multiply a term by to get the next term.
-4 = 2 x -2
8 = -4 x -2
-16 = 8 x -2
Mr. Halsey leans a ladder against an 11.5-foot wall. The bottom of the ladder is 3.5 feet from the base of the wall, as shown.
What is the approximate length of the ladder?
A.
8 feet
B.
11 feet
C.
12 feet
D.
14 feet
Answer:
d 14
Step-by-step explanation:
1. María expandió el siguiente cuadrado de la manera que sigue: (x+3)2 = x² + 9,
¿Está correcta la forma que usó María?
Answer:
La expansión de María[tex](x + 3) {}^{2} = x {}^{2} + 9[/tex]
Correcta expansión[tex](x + 3) {}^{2} \\ = {x}^{2} + 2 \times x \times 3 + 3 {}^{2} \\ = x {}^{2} + 6x + 9[/tex]
Note - (a + b)² = a² + 2ab + b²
✐ La expansión de Mary está mal. Correcta expansión ⇻ x² + 6x + 9
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
Use a net to find the surface area of the prism.
27 cm
6.5 cm
15 cm
The surface area of the prism is
(Simplify your answer.)
Cm2
Answer:
Step-by-step explanation:
plss help me :(
Find the length of the arc.
Answer:
D 5pi/2
Step-by-step explanation:
Found the circumference then quartered. Can I have brainiest I need one more to upgrade.
Find the number of 3-card hands that contain the cars specified. NO LINKS!! NOT MULTIPLE CHOICE!!!
5. 3 red cards
6. 3 aces
7. 3 face cards
8. 3 hearts
9. 3 of one kind
Answer:
Step-by-step explanation:
5.
26 red cards in a 52-card deck so 3 red cards combo = 26*25*24 = 15600
6.
4 aces in a deck so 3 aces = 4*3*2 = 24
7.
12 face cards in a deck so 3 face cards = 12*11*10 = 1320
8.
13 hearts in a deck so 3 hearts = 13*12*11 = 1716
9.
4 kinds in a deck: spade, heart, diamond and club so 3 of one kind = 4*1716
= 6864
Answer:
Step-by-step explanation:
5. half deck are red; 2nd card is 1 less n 3rd card 2 less: 26x25x24 = 15600
6. 4 aces total: 4x3x2 = 24
7. 3 face cards per suit; 12 total: 12*11*10 = 1320
8. 13 heart cards: 13x12x11 = 1716
9. 4 suits: 1716x4 = 6864
Mars is on average 2.25 x 108 miles away from Earth. The moon is on average 2.388 x 105 miles away from Earth. Approximately how many times
farther is Mars from Earth than the moon is ?
A.0.94 times
B.9.4 times
C.94 times
D.940 times
Answer:
I believe the answer is D
Step-by-step explanation:
Mars is approximately 940 times farther away from Earth than the Moon.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation.
Mars is on average 2.25 x 10⁸ miles away from Earth.
The moon is on average 2.388 x 10⁵ miles away from Earth.
To calculate the answer, we need to divide the distance from Mars to Earth by the distance from the Moon to Earth. This gives us:
2.25 x 10⁸ miles / 2.388 x 10⁵ miles = 942.42
Rounded to the nearest whole number, this means that Mars is approximately 940 times farther away from Earth than the Moon is.
Therefore, the answer is D) 940 times.
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Which one is the least value?
Answer:
6/20
Step-by-step explanation:
trust
Determine the area of the triangle.
Answer:
no triangle given try to use a = 1/2(b x h) for the area
Step-by-step explanation:
Find each quotient.
494 ÷ 95 =
136.8 ÷ 24 =
96.9 ÷ 19 =
43.2 ÷ 8 =
Answer:
1. 5.2
2. 5.7
3. 5.1
4. 5.425 or 5.4
Step-by-step explanation:
hope this helps :)
Answer:
1. 5.2
2. 5.7
3. 5.1
4. 5.4
Step-by-step explanation:
you can use the app photo math, you just take a picture of the problem and it will give you the answer and explain the steps.
find the outlier of 22,26,31,37,3126,35,28,24
Answer:
3126
Step-by-step explanation:
Because it is so much bigger than the other numbers.
Select the values that make the inequality h < 2 true.
(Numbers written in order from least to greatest going across.)
Given:
The inequality is:
[tex]h\leq 2[/tex]
To find:
The values that make the given inequality true.
Solution:
We have,
[tex]h\leq 2[/tex]
It means the value of h must be less than or equal to 2.
In the given options, the list of numbers which are less than or equal to 2 is
-6, -3, -1, 1, 1.9, 1.99, 1.999, 2
The list of numbers which are greater than 2 is
2.001, 2.01, 2.1, 3, 5, 7, 10
Therefore, the first 8 options are correct and the required values are -6, -3, -1, 1, 1.9, 1.99, 1.999, 2.
Answer:
Step-by-step explanation:
plz plz plz plz help me
Answer:
240 plantsStep-by-step explanation:
Find the area of the garden:
A = 1/2bhA = 1/2(8)(15) = 60 m²Number of plants:
60*4 = 240 plantsAnswer:
Solution given:
perpendicular [P]=15m
base[B]=8m
hypotenuse [H]=17m
rate :4 plants per square metre
no of plants=?
we have
Area of triangular garden: ½(P*B)=½(15*8)=60m²
Now
Total no of plants =rate ×Area =4×60=240
Michael needs 240 plants in the garden.
fx= ab*2÷t*2, make t the subhect of the formulae
[tex]fx = ab { }^{2} \div t {?}^{2} [/tex]
Answer:
t = √ab²/fx
Step-by-step explanation:
fx= ab*2÷t*2, make t the subject of the formulae
Given the function
fx = ab²/t²
We are to make t the subject of the formula
fxt² = ab²
t² = ab²/fx
Take the square root of both sides
√t² = √ab²/fx
t = √ab²/fx
Hence the required value of t is √ab²/fx
Make an equation that is equal to 2/3
Answer:
Replace the 4 with a 3 to make the equation true
QR=15;PR=28;PQ=15,Cos_=15/28
Answer:
I don't understand any thing can you read the question
Matt can plant 27 trees in 3 hours. At that
rate, how many trees can Matt plant in an
8 hour day?
Answer:
72 trees.
Step-by-step explanation:
27 divided by 3 equals 9. so that means Matt can plant 9 trees in one hour so 9 is our unit rate ( what we multiply by) so now you multiply 9 by 8 and your answer is 72
question in image attached
The area of a rectangle is 130 mm². The length is 3 mm greater than its width. Let x represent the width of the rectangle.
Which equation can be used to solve for x?
O A. 3x = 130
O B. x2 + 3 = 130
C. x(x + 3) = 130
D. (x+3)2 = 130
Answer:
L = 3 + x
W = x
A = L x W
130 = 3 +( x × x)
B. X2 + 3 = 130
The equation that can be used to solve for x is;
x(x + 3) = 130
Area of a RectangleWe are told that area of a rectangle is;
A = 130 mm².
We are told that length is 3 mm greater than its width.
Now, if the width is x, then
Length = x + 3
Formula for area of a rectangle is;
A = length * width
Thus;
(x + 3)x = 130
x² + 3x = 130
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A cost accountant is developing a regression model to predict the total cost of producing a batch of printed circuit boards as a function of batch size (the number of boards produced in one lot or batch). The independent variable is:
Answer:
"Variable cost" is the appropriate answer.
Step by-step explanation:
Let an equation,
⇒ [tex]y=a+bx[/tex]
here,
y = Total costa = Fixed costx = Variable costor,
We can say that, "y" is a dependent variable as well as "x" is an independent variable.
Thus the independent variable is Variable cost.
Yesterday, there were 60 problems assigned for math homework. Albert did 30% of them correctly. How many problems did Albert get right?