[tex]\huge\bold\purple{2/3:}[/tex]
What is the area of a circle if it has a diameter of 14 units
Answer:
143.94 is the area of the circle
A quality control inspector has drawn a sample of 19 light bulbs from a recent production lot. If the number of defective bulbs is 1 or less, the lot passes inspection. Suppose 30% of the bulbs in the lot are defective. What is the probability that the lot will pass inspection
Answer:
0.0016283
Step-by-step explanation:
Given that:
Proportion of defective bulbs, p = 30% = 0.3
Sample size, n = 19 bulbs
Probability that the lot will pass inspection :
P(none of the 19 is defective) Or P(only one of the 19 is defective)
P(none of the 19 is defective) = (1 - p) ^n = (1 - 0.3)^19 ; 0.7^19
0.7^19 = 0.0011398
P(only one of the 19 is defective) :
P(1 defective) * P(18 not defective )
(0.3) * (1 - 0.3)^18
0.3 * 0.7^18
0.3 * 0.001628413597910449 = 0.0004885
Hence,
P(none of the 19 is defective) + P(only one of the 19 is defective)
0.0011398 + 0.0004885) = 0.0016283
Which statement is true of normally distributed data?
A.
Approximately 90% of data falls within 2 standard deviations (±2) of the mean.
B.
Approximately 90% of data falls within 3 standard deviations of (±3) the mean.
C.
Approximately 95% of data falls within 2 standard deviations (±2) of the mean.
D.
Approximately 95% of data falls within 3 standard deviations (±3) of the mean.
Please explain and no answering just for points.
C
have a nice day!!!!!!!!!!!!!!!!!!!!!!!
Approximately 95% of data falls within 2 standard deviations (±2) of the mean. Option D is correct.
What is a normal distribution?A normal distribution is a type of continuous probability distribution for a real-valued random variable such that the values are symmetric about a mean and the curve has bell shape.
Standard deviation is the measure of the randomness of the distribution. The curve has its peak at the mean.
As standard deviation increases, the peak of the curve comes lower and the distribution becomes more and more dispersed.
In a normal distribution 68% of the values falls within 1 standard deviation
and 95% of the values falls within two standard deviations. 99% of the values falls within three standard deviations.
Hence, approximately 95% of data falls within 2 standard deviations (±2) of the mean.
To learn more about normal distribution visit:
https://brainly.com/question/15103234
#SPJ1
5x - 4y = -8 x + 4y F-16
Totally blanking on how medians work
===============================================
The three medians of this triangle are:
PFREQDThese segments go from one vertex to the midpoint of the opposite side.
The median we'll focus on is PF.
The point C is the centroid of the triangle. It's where the three medians intersect. It turns out that C divides PF such that CF is twice as long as PC
In other words,
CF = 2*PC
This means,
PF = PC+CF .... segment addition postulate
PF = PC+2*PC ... replace CF with 2*PC
PF = 3*PC .... combine like terms
So the median PF is three times the length of its portion PC
We're told that PF = 24
We can then find the following:
PF = 3*PC
24 = 3*PC
3*PC = 24
PC = 24/3
PC = 8
Then we double this to get the length of CF
CF = 2*PC
CF = 2*8
CF = 16
This is the same as FC because the order of the endpoints don't matter when it comes to naming a segment.
The final answer is 16.
In ΔSTU, t = 21 cm, s = 30 cm and ∠S=26°. Find all possible values of ∠T, to the nearest degree.
Answer:
18 degrees
Step-by-step explanation:
Answer:
fat
Step-by-step explanation:
yo mamo so fat when she jumps to the pool she sends the water to mars
26 cm
10 cm
24 cm
Is it a right triangle
Answer:
no it is not a right triangle
Step-by-step explanation:
In art class, David painted an image of a bowl of fruit. For the oranges, he mixed 2 ounces of
white paint and 4 ounces of orange paint. For the peaches, he mixed 3 ounces of white paint
and 5 ounces of orange paint. Which type of fruit was a lighter shade of orange?
Answer: the peaches were a lighter shade of orange
Markers were placed at altitudes of 10 and 15 feet below sea level Enter the integer that represents the altitude closer to sea level
Answer:
43
neeed...20...charetors
The integer that represents the altitude closer to sea level is 10.
What is addition?Addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value. A numerical expression is algebraic information stated in the form of numbers and variables that are unknown.
We are informed that Markers were placed at altitudes of 10 and 15 feet below sea level
Then we need to find the integer that represents the altitude closer to sea level.
We can say that 10 is negative (below the sea level), and 10 is 10 spaces away from zero on the number line, meaning the answer could be |10|.
The sea level would be 0 and the 10 would be -10 and the 15 will be -15
Hence, the 10 is closer to the sea level.
Thus the integer that represents the altitude closer to sea level is 10,
Learn more about fraction addition here:
https://brainly.com/question/17544795
#SPJ2
The product of the slopes of parallel lines is 1
Sometimes, never, or always
Answer:
Sometimes
Step-by-step explanation:
What is the answer to this equation?
Answer:
m∠A = 78°
Step-by-step explanation:
The question tells us these angles are supplementary meaning they will add up to 180°. We can use the information to make an equation.
m∠A + m∠B = 180
3x + 18 + 5x + 2 = 180
8x + 20 = 180
8x = 160
x = 20
Now we can substitute the solution for x to find the measure of ∠A.
m∠A = 3(20) + 18
m∠A = 60 + 18
m∠A = 78
Camille bought a set of kitchen chairs discounted 25% off of the original price of $170. What was the sale price of the set of chairs?
Answer:
127.5
Step-by-step explanation:
0.25*170 then take away from 170
$127.5 was the sale price of the set of kitchen chairs.
Given:
Camille bought a set of kitchen chairs at discounted 25% off of the original price.
The original price of a set of kitchen chairs = $170
To find:
The sale price of the set of kitchen chairs.
Solution:
The original price of a set of kitchen chairs = O.P = $170
The percent of discount on the set of kitchen chairs = d% = 25%
The discount price on the set of kitchen chair= D
[tex]d\%=\frac{D}{O.P}\times 100\\25\%=\frac{D}{\$170}\times 100\\D=\frac{25\times \$170}{100}=\$42.5[/tex]
The sales price of a set of kitchen chairs = S.P
[tex]S.P=O.P-D\\=\$170-\$42.5=\$127.5[/tex]
$127.5 was the sale price of the set of kitchen chairs.
Learn more about the discount price here:
brainly.com/question/1352508?referrer=searchResults
brainly.com/question/339653?referrer=searchResults
Sammy has $180 in her savings account and plans to deposit $20 each month.
help me plz
Answer:
For a function f(x) = y.
The independent variable is the one that we chose to input in the function, in this case, is x, and the dependent variable is the variable that changes in response to the independent variable, in this case, is y.
In this problem we have:
"Sammy has $180 in her savings account and plans to deposit $20 each month."
We can define:
y = money in her savings account
x = number of months that have been passed since she started saving.
Originally, she has $180, and she saves $20 per month, so if x months have been passed, the total amount of money in her savings account is:
y = f(x) = $180 + $20*x
Now we want to know if this function is continuous or discrete, to see this we need to look at the possible values of x.
x represents the number of months that have been passed, then the values that x can take are:
x = 0, 1, 2, 3, 4, ...
So x can only take the values of positive integers, this means that the domain of x is discrete, then the function f(x) is a discrete function.
Which of the following is a divisor of 12! · 6! + 12! + 6! + 1?
A. 21
B. 77
C. 91
D. 115
E. 143
Hint : Use Wilson's Theorem[tex].[/tex]
Answer:
C. 91Step-by-step explanation:
Rewriting the given as factors:
12! · 6! + 12! + 6! + 1 =12!(6! + 1) + (6! + 1) =(12! + 1)(6! + 1) =((13 - 1)! + 1)((7 - 1)! + 1)As per Wilson's theorem, if n is prime number, (n - 1)! + 1 is divisible by n
As per above, 13 and 7 are both prime numbers, so the expression is divisible by both 7 and 13:
7*13 = 91So correct choice is C
How high is a tree that casts a 35-ft shadow at the same time a 8-ft post casts a shadow which is 9-ft long
Answer:
it depend on which angle is the sun is
Step-by-step explanation:
Answer:
It would be approximately 40 ft, but the precise answer is 39.375 ft. Hope that helped!
Step-by-step explanation:
this is for literal equations
A=4 πr2 (r2)
i think you solve for r2
Answer:
[tex]r^2=\dfrac{A}{4\pi}[/tex]
Step-by-step explanation:
The given equation is A=4 πr².
We need to solve the above equation for r².
We have,
A=4πr²
Dividing both sides by 4π, we get :
[tex]\dfrac{A}{4\pi}=\dfrac{4\pi r^2}{4\pi}\\\\r^2=\dfrac{A}{4\pi}[/tex]
Hence, the value of r² is equal to [tex]\dfrac{A}{4\pi}[/tex].
Help please, it’s due today
Answer:
X = 37
Step-by-step explanation:
A triangles angles add up to 180. You have two of the three. You can do
x + 45 + 98 = 180
then simplify
x + 143 = 180
subtract 143 from both sides
x = 37
Given the figure below , find the values of x and z .
Answer:
6x+36=11x-9
11x-6x=36+9
5x=45
X=45
now,
45+Z=180
Z=180-45
Therefore,Z=135
6x+36=11x-9
or,11x-6x=36+9
or,5x=44
:X=35
We know that,
45+Z=180
or,Z=180-45
:Z=135
8th Grade Math Midterm
Wich quadrilaterals always have consecutive angles that are supplementary
Answer:
PARALLELOGRAMS (rectangles, squares, and rhombi): 1) Opposite sides of a parallelogram are congruent. 2) Opposite angles of a parallelogram are congruent. 3) Consecutive angles in a parallelogram are supplementary.
Step-by-step explanation:
The quadrilaterals which have supplementary consecutive angles are called; Parallelogram.
What is a quadrilateral?Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
The quadrilaterals which have supplementary consecutive angles are called Parallelogram.
A parallelogram is a kind of quadrilateral which has two parallel sides on each opposite sides which are equal and the opposite angles in a parallelogram are also equal.
The consecutive angles of a parallelogram are supplementary refers that the sum of the consecutive angles in a parallelogram is equal to 180 degrees. The total sum of all the angles in a parallelogram is 360 degrees as it is a quadrilateral.
Learn more about parallelogram;
https://brainly.com/question/28854514
#SPJ2
Find the volume of the following figure
Answer:
there is no picture?
Step-by-step explanation:
PRE CALC ON EDGE PLEASE HELP 100 PTS!!! IM TIMED
Answer:
The last option
Step-by-step explanation:
a is the hypotenuse, x is the adjacent, h is the opposite.
a^2 = h^2 + x^2
Subtract x^2 from both sides
h^2 = a^2 - x^2
Please gimme brainliest
please help me please
Sketch a graph that shows the
relationship between grams of honey and
grams of salt needed for a bakery recipe.
Show on the graph how much honey is
needed for 70 grams of salt.
salt
honey
flour
(c)
10
14
4
25
35
10
1 Add file
Percent is always out of _________ ?
Answer:
Percent is always out of 100
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
The decorating committee for a
school banque decides to put flower
arrangements on cach table. Each
arrangement will have 3 white
carnations and 5 yellow carnations.
The committee will need 60 white
carnations. What is the total numbe
of white and yellow carnations the
committee will need?
1+1=? HHHHHHELP!!!!!!!
Answer:
2,thanks,for the points
2) If the bill is $100 and the tax rate is 10%, then the sales tax is how much
money? *
$ 20.00
$ 25.00
$ 10.00
$ 5.00
3) If the bill is $45.12 and the tax rate is 13%, then the sales tax is how much
What is the sum (2/5x + 5/8) + (1/5x - 1/4)? a. 3/5 x + 1/8 b. 3/5 x + 3/8 c. 3/5x + 5/8 d. 3/5x + 7/8
Answer:
3/5x + 3/8
Step-by-step explanation:
2/5x + 5/8 + 1/5x - 1/4
1. Combine like terms so now u have
3/5x + 3/8
In case you want to know how I got 3/8
You want a common denominator so
from 5/8 + 1/4, make both denominator 8
so 1 *2/ 4* 2
so now you converted the 1/4 to 2/8
So then 5/8 - 2/8 gives u 3/8 and that's how i got 3/8
Hope this helped!
Answer:
3/5x + 3/8
Step-by-step explanation:
Write a multiplication sentence to find of the rectangle by moving numbers to the line
Answer:
caca
Step-by-step explanation: