Answer:
Let get x as a number of small circles.
Area of big circle = Area of all small circles
(Here . implies multiplication)
22/7 . 35 cm .35cm = 22/7 . 7cm .7cm .x
x = (22/7 . 35 cm .35cm) / (22/7 . 7 cm .7cm)
x = (35 . 35) /(7.7)
x = 25
Step-by-step explanation:
HELP !!!!!!! PLEAZEEEEE
Answer:
x = 30 y = 70 z = 80
Step-by-step explanation:
7
T
S
U
The triangle STU has been drawn on to a centimetre grid.
Calculate the area of triangle STU *
(2 Points)
Enter your answer
Answer:
12 square units
Step-by-step explanation:
The area of a given figure is the measure of space occupied by the figure on a 2 dimensional plane.
Area of a triangle = [tex]\frac{1}{2}[/tex] x base x height
From the given grid, the following can be observed for triangle STU.
base SU = 6 units
height = 4 units
Thus,
area of triangle STU = [tex]\frac{1}{2}[/tex] x base x height
= [tex]\frac{1}{2}[/tex] x 6 x 4
= 3 x 4
area of triangle STU = 12 square units
The required area of triangle STU is 12 square units.
A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has four identical components, each with a probability of 0.2 of failing in less than 1000 hours. The subsystem will operate if any two of the four components are operating. Assume that the components act independently.a) Find the probability that exactly two of the four components last longer than 1000 hours.b) Find the probability that the subsystem operates longer than 1000 hours.
Answer:
a) 0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.
b) 0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.
Step-by-step explanation:
For each component, there are only two possible outcomes. Either they fail in less than 1000 hours, or they do not. The probability of a component failing in less than 1000 hours is independent of any other component. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
One subsystem has four identical components, each with a probability of 0.2 of failing in less than 1000 hours.
Four components means that [tex]n = 4[/tex]
Probability of 0.2 of failling means that 1 - 0.2 = 0.8 probability of not failling, so [tex]p = 0.8[/tex]
a) Find the probability that exactly two of the four components last longer than 1000 hours.
This is [tex]P(X = 2)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536[/tex]
0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.
b) Find the probability that the subsystem operates longer than 1000 hours.
It will operate if at least two compoents last longer than 1000 hours. So
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536[/tex]
[tex]P(X = 3) = C_{4,3}.(0.8)^{3}.(0.2)^{1} = 0.4096[/tex]
[tex]P(X = 4) = C_{4,4}.(0.8)^{4}.(0.2)^{0} = 0.4096[/tex]
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.1536 + 0.4096 + 0.4096 = 0.9728[/tex]
0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.
Laura kept a list of her expenses and income for one month. If she started the month with no money, how much money did she have left at the end of the month?
Answer:
$25
Step-by-step explanation:
she received$12 five times
12×5=60 ...(1)
she earned$5 two times for yard work
5×2=10....(2)
(1)+(2).... 60+10=70
Bought dog food and ticket
30+15=45
70-45=25
Answer $25 is what she is left with at the end of the month
Answer:
She would have 5 dollars left
Step-by-step explanation:
Combine like terms to simplify; (5x + 2) + (4x + 5). 1 point 9x - 7 9x + 7 -9x - 11 X + 7
(5x + 2) + (4x + 5)
= 5x + 2 + 4x + 5
= 5x + 4x + 5 + 2
= 9x + 7
Find the area of the following figure.
18 cm
9 cm
10 cm
12 cm
If ABCD is a parallelogram, m
A
B
(3x + 4)º
D
xº
C
Equation:
X=
(PLEASE HELP)
Answer:
x is 44 because
3x+4+x=180
4x=180-4
4x=176
x=44
marcia is typing her report for history class. She can type 4 pages in 45 minutes. At that rate, how many pages does she type per hour? Round to the nearest hundredth.
Answer:
5.34 pages/h
Step-by-step explanation:
4/45 = p/60
p ≈ 5.34
Answer:
Step-by-step explanation:
3/4 of an hour is the same as 0.75
Write a proportion.
4 (pages)/0.75 (hours)=p(pages)/1 hour
Cross multiply and divide
(4x1)÷0.75=5.33 (rounded to the nearest hundred)
p=5.33
Marcia can type 5.33 pages per hour.
el producto de dos números pares positivos es cuatro veces el menor, más 48 ¿ cual es el producto?
Answer:
El número más pequeño es
6
Step-by-step explanation:
Deje que el número más pequeño sea
s
(
→
el número mayor es
s
+
2
)
s
⋅
(
s
+
2
)
=
48
→
s
2
+
2
s
-
48
=
0
→
(
s
-
6
)
(
s
+
8
)
=
0
→
s
=
6
o
s
=
-
8
Find the point on the line 2x+6y+1=0 which is closest to the point (-5,-3)
Answer:
(-1.875, -1.625)
Step-by-step explanation:
We want to find the point on the equation 2*x + 6*y + 1 = 0 which is closest to the point (-5, -3)
Remember that the distance between two points (a, b) and (c, d) is:
D = √( (a - c)^2 + (b - d)^2)
First we can write our equation as a line in the slope intercept form:
y = -(2/6)*x - 1
Now we could minimize the equation:
D = √( (x - (-5))^2 + (y - (-3))^2) = √( (x + 5)^2 + (y + 3)^2)
D = √( ( x + 5)^2 + ( -(2/6)*x - 1 + 3) ^2)
Then we can minimize:
D^2 = (x + 5)^2 + ( -(2/6)*x + 2)^2
= x^2 + 10*x + 25 + (4/36)*x^2 - (8/6)*x + 4
= (1 + 4/36)*x^2 + (10 - 8/6)*x + 29
= (40/36)*x^2 + (52/6)*x + 29
This is a quadratic equation whose leading coefficient is positive, then the minimum of this equation is at the vertex.
The vertex is at the x-value such that (D^2)' = 0
Then:
(D^2)' = 2*(40/36)*x + (52/6)
This needs to be zero then:
0 = 2*(40/36)*x + (52/6)
-52/6 = (80/36)*x
(-52/6)*(36/80) = x
-1.875 = x
And the y-value when x = -1.875 is:
y = -(2/6)*-1.875 - 1
y = -1.625
Then the point on the line 2x+6y+1=0 that is closest to (-5,-3) is the point (-1.875, -1.625)
A satellite television company charges a one-time installation fee of $55 and a monthly service charge of $46. Elizabeth was installed this year and has spent a total of $285.00 on her satellite connection. The equation 55 + 46x = 285 can be used to represent her expenses so far. What does the variable x represent in this situation?
Answer:
The monthly service charge
Step-by-step explanation:.
Square root of 3
Square root of 36
Square root of 9
Which number is irrational?
Answer:
Square root of 3
Step-by-step explanation:
Answer:
can you help me with this math am not good enough
FIND THE ERROR: Chun and Traci are determining the value of x in the figure. Chun says to find the value of x, solve the proportion = 1, but
Treci says to find the value of 1, the proportion is should be solved. Is either of them correct? Explain your reasoning
9514 1404 393
Answer:
Chun is correct
Step-by-step explanation:
The angle bisector divides the sides of the triangle proportionally. Any proportion that is written should equate ratios of corresponding sides.
Chun's proportion correctly relates the top-side measures to their corresponding bottom-side measures:
top short : bottom short = top long : bottom long
5 / 8 = 15 / x
__
Traci's error is that she mixes top-side and bottom-side measures. Her incorrect relation is ...
top short : bottom long = bottom short : top long
She has used top:bottom for short measures and bottom:top for long measures. This mixing will give Traci an incorrect solution.
__
Chun's proportion correctly gives x=24.
Answer:
Step-by-step explanation:
Chun; by the Triangle Angle Bisector Theorem, the correct proportion is 58=15x.
How many milliliters of chocolate milk are in the container shown? Enter your answer in the box.
A pitcher shows 4 lines at 1, 2, 3, and 4 liters from bottom to top. Chocolate milk rises to the level of the line at 3 liters.
Answer:
I don't know
Ich bin fett
I'm just a fat boy watching ph once a month
Step-by-step explanation:
bobo Ampt
A person on a moving sidewalk travels 6 feet in 3 seconds. The moving sidewalk has a length of 60 feet. How long will it take to move from one end of the sidewalk to the other?
Answer:
Speed = distance / time
= 6/3 =2 ft/sec
Time = distance / speed
= 60/2
= 30 seconds
Can someone help me with these questions and show work please and thank you
Answer:
11. 78
12. 4x² - 3x - 1
Step-by-step explanation:
11. Sum of n whole numbers = ½(n² + n)
Multiply
½*n² + ½*n
= n²/2 + n/2
To find the sum of the first 12 whole number, substitute 12 for n into the equation.
= 12²/2 + 12/2
= 144/2 + 12/2
= 72 + 6
= 78
12. Area of trapezoid = ½(a + b)*h
Where,
a = 5x - 4
b = 3x + 2
h = x + 1
Area = ½(5x - 4 + 3x + 2)*(x + 1)
Area = ½(8x - 2)*(x + 1)
Area = ½[8x(x + 1) -2(x + 1)]
= ½[8x² + 8x - 2x - 2]
Add like terms
= ½(8x² - 6x - 2)
= ½(8x²) - ½(6x) - ½(2)
= 4x² - 3x - 1
The ratio of the girls to boys in the school
marching band is 10 to 8. If there are 32 boys in
the marching band, how many of the students in
the marching band are girls?
A 38
B, 40
C. 26
D, 42
please help me please brainliest
Answer:19
Step-by-step explanation:perimeter is everything added since it’s a rectangle 10 on both length sides will be 20 so 58-20 is 38 divide that by 2 and that’s your answer.
A 95% confidence interval is found to be (28, 32). The sample standard
deviation is 7, and the sample size is 49. If you wanted a smaller interval,
what could you do?
Answer:
b
Step-by-step explanation:
Jordan typed 40 words a minute and he spends 1 minute typing a ending how many minute did it take him to write a sentence
i also heard that you can get points for answering questions.
Answer:
02920
Step-by-step explanation:
92823
Liz has added 20% of the total amount of acid that she needs
in the beaker for her experiment. She has put in 10 ml so far.
How much more does she need to add? Plz help
Solve the inequality:
8+4x≥12
Select one:
x≤1
x≥5
x≥1
x≤5
Answer:
x≥1
Step-by-step explanation:
Plzzz help. Giving everything.
Answer:
d. 260. is the answer.
will give brianlist
Jennifer has a hair ribbon that is 12 centimeters long. What is the length of the ribbon in millimeters? Use the number of zeros of the product when multiplying a number by a power of 10 to help you.
120 millimeters
12 millimeters
1,200 millimeters
1.2 millimeters
The picture shows the top view of a piece of glass. A rectangular piece of glass is shown. The length is measured as 4 feet. The width is measured as 2 and one-half feet. Which equations can be used to find the area, in square feet, of the piece of glass? Select all that apply. A. A = 2 1 2 × 4 B. A = 5 2 + 4 C. A = ( 2 1 2 + 2 1 2 ) + ( 4 + 4 ) D. A = 5 2 × 4 E. A = ( 2 × 2 1 2 ) + ( 2 × 4 ) F. A = 2 1 2 + 4 answer and u get brainlyest
Answer:
d. and e.
Step-by-step explanation:
i did the test
Option A and Option D represents the equation of area of rectangular piece which are A=4×[tex]2\frac{1}{2}[/tex] and A=4×5/2.
What is Area of Rectangle?The area of Rectangle is length times of width.
Given that A rectangular piece of glass is shown.
The length is measured as 4 feet.
The width is measured as 2 and one-half feet.
We have to find the equations can be used to find the area of the piece of glass.
Area=Length×width
Area=4 feet × 2 and one-half feet
=4×[tex]2\frac{1}{2}[/tex]
=4×5/2
Hence, Option A and Option D represents the equation of area of rectangular piece which are A=4×[tex]2\frac{1}{2}[/tex] and A=4×5/2.
To learn more on Area of Rectangle click:
https://brainly.com/question/20693059
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Find the missing number in each sequence.
40, ___ , 37 1/3 , 36
Volume of a cone is 48 pi and have a radius of 8 what is the height
Answer:
Step-by-step explanation:
the answer is in the pic open it
hope it help mark me as a brill please
A quality control inspector routinely takes random samples of 200 cans of fruit cocktail produced in a packing
plant and calculates the proportion of cans from each sample with at least 3 cherries. Suppose that 98% of
fruit cocktail cans produced in that packing plant contain at least 3 cherries
Which of the following distributions is the best approximation of the sampling distribution of p?
Each distribution uses the same scale.
Choose 1 answer:
0.98
0.98
Answer:
A
Step-by-step explanation:
Khan Academy
help!!!!! will give big brain
What is the value of a?
Answer:
your answer will be option B
Step-by-step explanation:
[tex]\frac{10}{12} =\frac{a}{38} \\\\a=\frac{(10) (38)}{12} \\\\=31.6[/tex]