Answer:
The outcomes of this binomial distribution that would be considered unusual is {0, 1, 2, 8}.
Step-by-step explanation:
The outcomes provided are:
(A) 0, 1, 2, 6, 7, 8
(B) 0, 1, 2, 7, 8
(C) 0, 1, 7, 8
(D) 0, 1, 2, 8
Solution:
The random variable X can be defined as the number of employees who judge their co-workers by cleanliness.
The probability of X is:
P (X) = 0.65
The number of employees selected is:
n = 8
An unusual outcome, in probability theory, has a probability of occurrence less than or equal to 0.05.
Since outcomes 0 and 1 are contained in all the options, we will check for X = 2.
Compute the value of P (X = 2) as follows:
[tex]P(X=2)={8\choose 2}(0.65)^{2}(0.35)^{8-2}[/tex]
[tex]=28\times 0.4225\times 0.001838265625\\=0.02175\\\approx 0.022<0.05[/tex]
So X = 2 is unusual.
Similarly check for X = 6, 7 and 8.
P (X = 6) = 0.2587 > 0.05
X = 6 not unusual
P (X = 7) = 0.1373 > 0.05
X = 7 not unusual
P (X = 8) = 0.0319
X = 8 is unusual.
Thus, the outcomes of this binomial distribution that would be considered unusual is {0, 1, 2, 8}.
Kyle stood on a bridge and threw a rock up and over the side. The height of the rocks in meters can be approximated by approximated by -5t^2+5t+24, where T is the time in seconds after car through it completely factor the expression
Answer:
The factorized expression is (-5) × (t - 2.747) ×(t - 1.747)
Step-by-step explanation:
The given expression is -5·t² + 5·t + 24
To factorize the expression by completing the square method, we equate the expression to zero to get;
-5·t² + 5·t + 24 = 0
WE divide by -5 to get;
t² - t - 24/5 = 0
t² - t = 24/5
t² - t + 1/4 = 24/5 + 1/4
(t - 1/2)² = 5.05
t - 1/2 = ±√5.05
t = 1/2 + √5.05, 1/2 - √5.05
The factorized expression becomes;
(t - 1/2 + √5.05) and (t - 1/2 - √5.05)
Which gives;
(t - 2.747) ×(t - 1.747)
The factorized expression is (-5) × (t - 2.747) ×(t - 1.747).
Clarissa and Shawna, working together, can paint the exterior of a house in 6 days. Clarissa by herself can complete this in 5 days less than Shawna. how long will it take Clarissa to complete the job by herself?
Answer:
Clarissa will take 10 hours by herself
Step-by-step explanation:
Let s = time for shawna
s-5 = time for clarissa
The formula for determining the time is
1/a + 1/b = 1/c where a and b are the times alone and c is the time together
1/s + 1/(s-5) = 1/6
Multiply each side by 6s(s-5) to clear the fractions
6s(s-5) ( 1/s + 1/(s-5)) = 1/6 *6s(s-5)
Distribute
6(s-5) + 6s = s(s-5)
Distribute
6s -30 +6s = s^2 -5s
Combine like terms
12s -30 = s^2 -5s
Move everything to the right
0 = s^2 -5s -12s +30
0 = s^2 -17s +30
Factor
0 = ( s-15) (s-2)
Using the zero product property
s-15 =0 s-2 =0
s =15 s=2 ( This is not a reasonable answer since it is less than the time together)
s=15
s-5 = 10
Clarissa will take 10 hours by herself
Write an expression for 267 multiplied by x
Answer:
267x
Step-by-step explanation:
Multiplication means times
267 * x
267x
Answer:
267x
when you multiply a number by a variable, you can combine the terms if there is no coefficient for the variable.
What is the volume of the following prism?
7 m
3
Š
6 m
Answer:
v = 63
Step-by-step explanation:
v = 1/2(7)(6)(3)
v = 63
36. What is the solution to x+3 = -6?
HELP! answer if you can!
Answer:
x = -9
Step-by-step explanation:
subtract 3 from both sides
x = -9
Answer:
x = -9
Step-by-step explanation:
x + 3 = -6
Subtract 3 from both sides.
x + 3 - 3 = -6 - 3
x = -9
27
What is the value of the expression
-x(y - 3)2 for x = -2, y = 6 ?
HELP! answer if you can plz and thank you..
Answer:
12
Step-by-step explanation:
Substitute the given numbers for the variables.
-(-2)(6-3)2
2(3)2
12
It takes 250 \text{ g}250 g250, start text, space, g, end text of pasta and 240 \text{ ml}240 ml 240, start text, space, m, l, end text of sauce to make one batch of spaghetti, and it takes 600 \text{ g}600 g600, start text, space, g, end text of pasta and 700 \text{ ml}700 ml 700, start text, space, m, l, end text of sauce to make one batch of lasagna.
Answer:
250S + 600L > 4000
240S + 700L > 5000
Step-by-step explanation:
It takes 250 g of pasta and 240 ml of sauce to make one batch of spaghetti, and it takes 600g of pasta and 700ml of sauce to make one batch of lasagna.
Friedrich is a chef who wants to make spaghetti and lasagna using more than 4000 g of pasta and more than 5000 ml of sauce.
Let S denote the number of batches of spaghetti he makes and L the number of batches of lasagna he makes.
Write an inequality that represents the condition based on the number of grams of pasta.
Write an inequality that represents the condition based on the number of milliliters of sauce.
Scenario 1: Pasta
The chef wants to make spaghetti and lasagna using more than 4000 g of pasta.
S =the number of batches of spaghetti he makes
L =the number of batches of lasagna he makes.
We have, inequality based on the number of grams of pasta
250S + 600L > 4000
Scenario 2: Sauce
chef wants to make spaghetti and lasagna using more than 5000 ml of sauce.
S= the number of batches of spaghetti he makes
L= the number of batches of lasagna he makes.
We have, inequality based on the number of milliliters of sauce
240S + 700L > 5000
The two inequalities are:
250S + 600L > 4000
240S + 700L > 5000
Bill is building a staircase for his new home. He has measured several three-foot bars to support the handrail. If Bill nails the support bars to the handrail and to the edge of the staircase (a 2-inch-by-12-inch board attached parallel to the slope of the stairs) at 12-inch intervals, will the handrail be parallel to the staircase?
Answer:
6
Step-by-step explanation:
78
HHHHEEEEELLLLLPPPPPPP PLEASEEE ANSWER #1 AND #2
Answer:
37 = -3 + 5(k +6)
37 = -3 + 5k + 30
37 = 27 + 5k
10 = 5k
k = 2
-2 = -(w - 8)
-2 = -w + 8
-10 = -w
w = 10
Answer:
37=-3+5(k+6)
37=-3+5k+30
37=27+5k
37-27=5k
5k=10
k=10/2
k=5
***********************************************************************************
-2= -(w-8)-2=-w+8
-2-8=-w
-w=-10
w=10
I beed help nowww hjbiuhkju uhbjknjhiuy
Answer:
answer hoga 3/2 ok.....
Answer: 3/2
Step-by-step explanation:
answer it answer it answer it
Answer:
22.5
Step-by-step explanation:
cause
Answer:
It is 22.5
Step-by-step explanation:
add up all they shaded parts:
22.5 x 4 = 90 degrees
as each unshaded part is three times more then you do 22.5 x 3 for one part
22.5 x 3 = 67.5 degrees
then times by four because there is four unshaded sections.
67.5 x 4 = 270 degrees
270 + 90 = 360 degrees and there is 360 degrees in a circle so 22.5 degrees is the correct answer.
Which is the exponential form of log3 x= 11?
Answer:
[tex]x = 3^{11}[/tex]
Step-by-step explanation:
relation between logarithmic and exponential form is given by
[tex]\log_a x = y \\[/tex] is same as [tex]a^y = x[/tex] where a>0 and a is not equal to 1.
____________________________________________
[tex]\log_3 x = 11 \\\\x = 3^{11}[/tex]
Thus, exponential form is [tex]x = 3^{11}[/tex]
PLEASE help!!!
Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximations). The figures below are based on semicircles or quarter circles and problems b), c), and d) are involving portions of a square.
Answer:
Step-by-step explanation:
The shaded regions consist of a triangle and a semicircle
Area of shaded regions = Area of Triangle + Area of semicircle
Area of Triangle = (h x b) ÷ 2
Height, h = 10 cm
Base, b = 8 cm
Are of the triangle component = (10 x 8) ÷ 2
= 80 ÷ 2
= 40 cm^2
Area of semicircle = πr^2 ÷ 2
Diameter, D = 8 cm
Radius, r = 8 cm ÷ 2 = 4 cm
Are of the semicircle component = [π(4^2) ÷ 2)
= 16π ÷ 2
= 16π cm^2
Total area of shaded regions
= (40+16π) cm^2
= 8 (5 +2π) cm^2
Answer:
[tex]\boxed{\sf Area = 8\pi + 40\ cm^2}[/tex]
[tex]\boxed{\sf Perimeter = 4\pi + 22\ cm}[/tex]
Step-by-step explanation:
Area of the figure:
Firstly: Area of semicircle:
[tex]\sf \frac{\pi r^2}{2} \\Where\ r = 4 \ cm\\\frac{\pi (4)^2}{2} \\\frac{16 \pi}{2}\\8 \pi \ cm^2[/tex]
Then Area of Triangle
[tex]\sf 1/2 (Base)(Height)\\1/2(10)(4)\\10*2\\20\ cm^2[/tex]
Area of Figure = Area of Semicircle + 2(Area of triangle)
=> 8π + 2(20)
=> 8π + 40 cm²
Perimeter of Semicircle:
Firstly, we'll have to find the hypotenuse
[tex]\sf c^2 = a^2+b^2\\c^2 = 4^2+10^2\\c^2 = 16+100\\c^2 = 116\\c = 11\ cm[/tex]
Then, Perimeter of the semi-circle:
=> πr
Where r = 4 cm
=> 4π
Now, the perimeter of the whole figure:
=> 4π + 2(11)
=> 4π + 22 cm
how many are 4 raised to 3 ???
Answer:
64
Step-by-step explanation:
4^3
This is 4 multiplied by itself 3 times
4*4*4
64
Talia spent \dfrac34 4 3 start fraction, 3, divided by, 4, end fraction of this week's allowance on candy. Of the money she spent on candy, \dfrac56 6 5 start fraction, 5, divided by, 6, end fraction was spent on gummy bears.
Answer:
15/24
Step-by-step explanation:
Talia spent 3/4 of this week's allowance on candy. Of the money she spent on candy, 5/6 was spent on gummy bears.
What fraction of this week's allowance did Talia spend on gummy bears?
Answer: Let this weeks allowance be x. Talia spent 3/4 of the weeks allowance on candy, therefore the money spent on candy = (3/4)x.
Out of the money spent on candy, 5/6 was spent on gummy bears. Therefore the money spent on gummy bears = 5/6 × (3/4)x = (15/24)x.
This means that the fraction of money spent on gummy bears was 15/24 of the weeks allowance.
PLEASE HELP ASAP!! (: One link below. I WILL NAME BRAINLIEST!! 30 points (: Make sure to show ur work. One who shows work and gets correct, gets title of Brainliest!! (:
Answer:
1) 502.65"
2) 367.57 yd
3) 141.37'
4) 471.24'
Step-by-step explanation:
Formula: volume of a cylinder = πr²h
1) v= πr²h 2) v= πr²h
v= π x 4² x 10 v= π x 3² x 13
v= 502.65" v= 367.57 yd
3) v= πr²h 4) v= πr²h
v= π x 3² x 5 v= π x 5² x 6
v= 141.37' v= 471.24'
I hope this helped
Answer:
1. 502.5 [tex]in^{3}[/tex]
2. 367.38 [tex]yd^{3}[/tex]
3. 141.3 [tex]cm^{3}[/tex]
4. 471 [tex]cm^{3}[/tex]
Step-by-step explanation:
The solution to finding the volume of a cylinder is: [tex]\pi r^{2} h[/tex].
They give us a diameter but no radius. So, we just need to divide the diameter, 8, by two. That leaves us with a radius of 4.
We can also see that the height of the first cylinder is 10. That gives us all our information to find the volume!
3.14 · [tex]4^{2}[/tex] · 10 = 502.5
So, the volume of the first cylinder is 502.5[tex]in^{3}[/tex]
This, hopefully explains how to find the volume of the rest of the cylinders!! :)
Hope this helps!! <3
Please Help Me With This I Will Mark Brainliest If You Are Correct!!!!!!!!!!! Determine the intervals on which the function is increasing, decreasing, and constant. A coordinate axis is drawn with a parabola pointing up that has vertex of 0,3. A). Increasing x 0 B). Increasing x > 0; Decreasing x 3 D). Increasing x > 3; Decreasing x < 3
Answer:
Increasing x> 3
Decreasing x< 3
Step-by-step explanation:
If you imagine drawing a tangent line (a line which touches a curve or shape at one point) at some point on the graph, you can see if a curve is increasing or decreasing at that point; and on the whole interval.
Doing this I find that the curve is decreasing on x< 3 and increases on x> 3
Determine the measure of the interior angle at vertex D. A. 27 B. 162 C. 20 D. 36
Answer:
162°
Step-by-step explanation:
The shape is a hexagon, so the interior angles equal 720. (N-2)*180=720
9x+9x+9x+2x+9x+2x=720
40x=720
x=720/40
x=18
D=9x=9(18)=162°
The sum of interior angles of a polygon with n sides is [tex](n-2)\cdot180[/tex]
In this case [tex]n=6[/tex]
Therefore
[tex]4\cdot9x+2\cdot2x=(6-2)\cdot180\\36x+4x=4\cdot180\\40x=720\\x=18[/tex]
[tex]9x=9\cdot18=162[/tex]
So B
Can Someone help ill rate brainliest!!
Answer:
2
Step-by-step explanation:
Let Ishan’s age equal an unknown quantity we’ll call “x”.
An age 4 times Ishan’s would be 4 times x, written “4x”.
An age 6 years older than Ishan’s would be written “x+6”.
Now, through the magic of algebra, we can write an equation: 4x = x+6 . This means that “four times Ishan’s age is equal to his age plus six.”
The magic continues: you can subtract an”x” from each side of the equation. You can subtract any quantity from either side, but subtracting”x” will leave 6 on the right and “3x” on the left: 3x = 6.
Divide both sides by the same quantity: 3.
This will give you x =2. This indicates Ishan’s age is 2.
Answer:
Ishaan is 2 years old.
Step-by-step explanation:
We can create a systems of equations for this, assuming b is Ben's age and i is Ishaan's age.
[tex]b = 4i[/tex]
[tex]b = i+6[/tex]
Let's solve via substitution.
[tex]4i = i+6[/tex]
Subtract i from both sides:
[tex]3i = 6[/tex]
Divide both sides by 3:
[tex]i = 2[/tex]
So Ishaan is 2 years old. Ben is:
[tex]4(2) = 8[/tex] years old.
Hope this helped!
i’m pretty bad at math
Answer:
2m - 3
Step-by-step explanation:
We know that Jim ran m miles. Twice that amount is simply 2 times that, or 2 * m which simplifies to 2m. 3 miles fewer means that we have to subtract 3 from that quantity, so the answer is 2m - 3.
Answer:
2m - 3
Step-by-step explanation:
Distance ran by Jim = m
Twice as far as Jim : 2 * m = 2m
3 miles fewer than '2m' = 2m - 3
Distance ran by Kelly = 2m - 3
What is the product? Two-thirds times eight-ninths
10/27
16/27
Two-thirds
Five-sixths
Answer:
16/27
[tex]\frac{2}{3}[/tex] × [tex]\frac{8}{9}[/tex] = [tex]\frac{16}{27}[/tex]
what is negative 20 plus negative 15
Answer:
[tex]\huge\boxed{-35}[/tex]
Step-by-step explanation:
(-20) + (-15) [ +(-) = - ]
=> -20-15
=> -35
Answer:
-35
Step-by-step explanation:
a negative plus a negative = negative
negative plus a positive = positive or negative (it depends on which is larger)
negative * negative = positive
negative * positive= negative
negative-negative= negative
use keep change change
i.e., 8-6 -> 8+-6
change the sign of the middle and the sign of the second term.
Please answer this question now
Answer:
98.1km²
Step-by-step explanation:
The name of the Triangle in this question is: WXV
In the question, we have:
Angle W = ? Unknown
Angle X = 119°
Angle V = 34°
Side w =?
Side x = 26km
Side v = ?
Step 1
We have to find the missing third angle = Angle W
Sum of angles in a triangle = 180°
= Angle W = 180° - (119 + 34)°
= 180° - 153°
Angle W = 27°
Step 2
Find the sides w and v using the sine rule
Sine rule =
a/ sin A = b/ Sin B
Hence for triangle WXV
w/ sin W = x/ sin X = v/ sin V
We have the following values
Angle W = 27°
Angle X = 119°
Angle V = 34°
We are given side x = 26km
a) Finding side w
w/ sin W= x/ sin X
w/sin 27 = 26/sin 119
Cross Multiply
sin 27 × 26 = w × sin 119
w = sin 27 × 26/sin 119
w = 13.49587km
w = 13.5km
b) Finding side v
x / sin X= v/ sin V
26/ sin 119 = v/sin 34
Cross Multiply
sin 119 × v = 26 × sin 34
v = sin 34 × 26/sin 119
v = 16.62324km
v = 16.62km
Step 3
Detemine the area of triangle WXV
We make use heron formula
= √s(s - w) (s - x) (s - v)
Where s = w + x + v/ 2
s = (13.5 + 26 + 16.62)/2
s = 56.12/2
s = 28.06
Area of the triangle = √28.06× (28.06 - 13.5) × (28.06 - 26 ) × (28.06 - 16.62)
Area of the triangle = √9628.137559
Area of the triangle = 98.123073530337km²
Approximately to the nearest tenth =98.1km²
I Need help again! Given the following Venn diagram, choose the correct set for M n N
Answer:
{2, 3, 5, 6, 8, 9}
Step-by-step explanation:
The universal set is
U = {2, 3, 4, 5, 6, 7, 8, 9}
M = {3, 4, 7, 9}
N = {4, 6, 7}
M n N = {4, 7}
The bar above M n N means the complement of M n N which is all elements of the universal set that are not in M n N.
Answer: {2, 3, 5, 6, 8, 9}
the function f(x)=-(x5+)(x+1) is shown. what is the range of the function
Answer:
all real numbers less than or equals to 4
-2(8 - 1)= find the product
Answer:
-14
Step-by-step explanation:
First, solve what is in the parentheses:
8-1=7
Now you have -2(7)
-2(7)=
-14
The product is -14!
Answer:
-14
Step-by-step explanation:
-2(8-1)
= -2*8 -2*-1
= -16 + 2
= -14
another solutión is:
-2(8-1)
= -2*7
= -14
The area of a square of side 2.4 cm is
Answer:
area of cube = a^2 ( a is side)
2.4^2 = 5.76 cm^2
Answer:
5.76 cm^2
Step-by-step explanation:
Hey there!
Well if the side length is 2.4 cm then the area would be,
A = l•l
A = 2.4 • 2.4
A = 5.76cm^2
Hope this helps :)
also being timed help!
Answer: 4
Step-by-step explanation:
In a recent Super Bowl, a TV network predicted that 53 % of the audience would express an interest in seeing one of its forthcoming television shows. The network ran commercials for these shows during the Super Bowl. The day after the Super Bowl, and Advertising Group sampled 79 people who saw the commercials and found that 41 of them said they would watch one of the television shows.Suppose you have the following null and alternative hypotheses for a test you are running:H0:p=0.53H0:p=0.53Ha:p≠0.53Ha:p≠0.53Calculate the test statistic, rounded to 3 decimal places
======================================================
Explanation:
We're conducting a one proportion Z test.
The hypothesized population proportion is p = 0.53, which is not to be confused with the p-value (unfortunately statistics textbooks seem to overuse the letter 'p'). Luckily this problem is not asking for the p-value.
The sample population proportion is
phat = x/n = 41/79 = 0.518987 approximately
The standard error (SE) is
SE = sqrt(p*(1-p)/n)
SE = sqrt(0.53*(1-0.53)/79)
SE = 0.056153 approximately
Making the test statistic to be
z = (phat - p)/(SE)
z = (0.518987 - 0.53)/0.056153
z = -0.19612487311452
z = -0.196
Which is approximate and rounded to 3 decimal places.
10.The sum of first 16 terms of the AP: 10, 6 ,2, ....is
− 320− 320
320320
640640
− 352 − 352
Answer:
- 320Step-by-step explanation:
a₁ = 10
a₂ = 6
d = a₂ - a₁ = 6 - 10 = -4
n = 16
a₁₆ = a₁ + (n-1)•d = 10 + (16-1)•(-4) = 10 - 60 = -50
[tex]S_{n}=\dfrac{a_1+a_n}{2}\cdot n\\\\\\S_{16}=\dfrac{10-50}{2}\cdot 16=-40\cdot8=-320[/tex]
