Answer:
(-2, 2)
Step-by-step explanation:
(-2, 2) is the only ordered pair that makes both inequalities true.
Answer:
B
Step-by-step explanation:
got it right
Change 9/3 to percentage
Answer:
300%
Step-by-step explanation:
because 9/3×100=900/3=300 so it is 300%
Answer:
300%
Step-by-step explanation:
9/3 * 100%
900%/3 = 300%
What are the coordinates of point p?
Suppose that two balanced, six sided dice are tossed repeatedly and the sum of the two uppermost faces is determined on each toss. (a) What is the probability that we obtain a sum of 3 before we obtain a sum of 7
Answer:
[tex]\frac{(2/36)}{(1-(28/36))} = 1/4[/tex]
Step-by-step explanation:
accoridng to byu idaho entorllemtn statistic there are 12000 femailes student here on camputes during any given semster of those 3500 have served a mission what is the probalbity that a rodnlby sleclted femal student on cmapus will have served a mission
Answer:
so this as a fraction is 3500/12000 which is equivalent to
0.29166666666 we multiply this by 100
29.166666666
so about 29.1% or the students are female and have served a mission
Hope This Helps!!!
angle 1 is congruent to angle 2 prove p is parallel to q
You'll need 2 more lines to complete this two column proof.
---------------------
Line 4
For the "statement" portion, you'll say something like [tex]\angle 2 \cong \angle 3[/tex]
The reason for this statement is "transitive property"
We're basically combining lines 1 and 3 to form this new line.
The transitive property is the idea that if A = B and B = C, then A = C. We connect the statements like a chain.
---------------------
Line 5
The statement is what you want to prove since this is the last line.
So the statement is [tex]p || q[/tex]
The reason is "converse of corresponding angles theorem"
As you can probably guess, this theorem says "If two corresponding angles are congruent, then the lines are parallel".
Which of the following situations WOULD NOT represent a binomial application? A. Choosing a card randomly from a standard deck and noting its color (remember color has only two outcomes black or red) B. Choosing a card randomly from a standard deck and noting whether its a face card C. Choosing a card randomly from a standard deck and noting its suit D. Choosing a card randomly from a standard deck and noting whether or not it's an ace
Answer:
Choosing a card randomly and noting its suit
Step-by-step explanation:
Choosing a card randomly and noting its suit
This is because binomial distributions only work for bernoulli trials (a trail in which there are only two outcomes)
A business woman wants to open a coffee stand across the street from a competing coffee company. She notices that the competing company has an average of 170 customers each day, with a standard deviation of 45 customers. Suppose she takes a random sample of 31 days. Identify the following to help her decide whether to open her coffee stand, rounding to the nearest whole number when necessary:
μ =_____customers per day
σ =_____customers per day
n =____
μ-x =____
σ-x =_____customers per day
Answer:
μ = 170 customers per day
σ = 45 customers per day
n = 31
[tex]\mu_x = 170[/tex]
[tex]\sigma_x = 8[/tex]
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
She notices that the competing company has an average of 170 customers each day, with a standard deviation of 45 customers.
This means that [tex]\mu = 170, \sigma = 45[/tex]
Suppose she takes a random sample of 31 days.
This means that [tex]n = 31[/tex]
For the sample:
By the Central Limit Theorem, the mean is [tex]\mu_x = 170[/tex] and the standard deviation is [tex]\sigma_x = \frac{45}{\sqrt{31}} = 8[/tex]
Which one of these functions is a power function? A. F(x) = |x| B. F(x) = sin x C. F(x) = x^4 D. F(x) = 5x + 1 / x^2 - 1
Answer:
A F(x) it is the power function, make sure to take notes as well
Someone pls answer all?
Answer: hello there here are your answers:
5) Associate property of addition
6) Multiplicative identify
7) additive identify
Step-by-step explanation:
5) that is correct because you are changing the numbers in the ()
6) because it the same numbers and variables just placed in a different way
7) its cleaves the system changed with any element added
hope this help have a good day
While preparing for their comeback tour, The Flaming Rogers find that the average time it takes their sound tech to set up for a show is 56.1 minutes, with a standard deviation of 6.4 minutes. If the band manager decides to include only the fastest 23% of sound techs on the tour, what should the cutoff time be for concert setup? Assume the times are normally distributed.
Answer:
The cutoff time be for concert setup should be of 51.4 minutes.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Average time it takes their sound tech to set up for a show is 56.1 minutes, with a standard deviation of 6.4 minutes.
This means that [tex]\mu = 56.1, \sigma = 6.4[/tex]
If the band manager decides to include only the fastest 23% of sound techs on the tour, what should the cutoff time be for concert setup?
The cutoff time would be the 23rd percentile of times, which is X when Z has a p-value of 0.23, so X when Z = -0.74.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.74 = \frac{X - 56.1}{6.4}[/tex]
[tex]X - 56.1 = -0.74*6.4[/tex]
[tex]X = 51.4[/tex]
The cutoff time be for concert setup should be of 51.4 minutes.
please help On a coordinate plane, a point is 4 units to the left and 1 unit down.
For the point shown:
The x-coordinate is
The y-coordinate is
.
g The point is in quadrant
.
Answer:
assuming that you start at the origin (0,0)
(-4,-1) would be the poiny
x coord = -4
y coord = -1
the point is in the 3 quadrant
Step-by-step explanation:
What is the value of x
Answer:
[tex]6x+3+69=180[/tex]
[tex]6x=180-72[/tex]
[tex]6x=108[/tex]
[tex]x=18[/tex]
--------------------------
hope it helps..
have a great day!!
What is the slope of (-1,3) and (3,1)
Work Shown:
Apply the slope formula
m = (y2-y1)/(x2-x1)
m = (1-3)/(3-(-1))
m = (1-3)/(3+1)
m = -2/4
m = -1/2 is the slope
In decimal form, this converts to -0.5, though usually slopes are in fraction form.
Suppose f(x) = x2. What is the graph of g(x)= 1/4 f(x)?
NEWD HELP ASAP!
Answer:
g(x) =1/4 x²
The choose (1)
first drawing
Which equation represents the line that passes through points (1, –5) and (3, –17)?
Answer:
y = -6x + 1
Step-by-step explanation:
y = mx + b
b = slope = (-5 - (-17))/(1 - 3) = 12/(-2) = -6
y = -6x + b
-5 = -6(1) + b
b = 1
y = -6x + 1
Answer:
[tex]y=-6x+1[/tex]
Step-by-step explanation:
The linear equation with slope m and intercept c is given as follows:
[tex]y=mx+c[/tex]
The formula for slope of line with points [tex](x_{1} ,y_{2} )[/tex] and [tex](x_{2} ,y_{2} )[/tex] can be expressed as,
[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
The line passes the points that are [tex](1,-5)[/tex] and [tex](3,-17)[/tex]
The slope of the line can be obtained as follows:
[tex]m=\frac{-17-(-5)}{(3)-1}[/tex]
[tex]m=\frac{-12}{2}[/tex]
[tex]m=-6[/tex]
The slope of the line is [tex]-6[/tex]
The line passes through the point [tex](3,-17)[/tex]
Substitute 3 for x, - 6 for m and -17 for y in equation [tex]y=mx+c[/tex] to obtain the value of c.
[tex]-17=-6(3)+c[/tex]
[tex]-17=-18+c[/tex]
[tex]-17+18=c[/tex]
[tex]1=c[/tex]
The equation is [tex]y=-6x+1[/tex]
Hence, the equation of the line that passes through the points [tex](1,-5)[/tex] and [tex](3,-17)[/tex] is [tex]y=-6x+1[/tex]
alvin is 5 years older than elga. the sum of their age is 85. what is elga age
Answer:
40 years old.
Step-by-step explanation:
We can let Elga's age equal [tex]x[/tex]. Alvin's age can be equal to [tex]y[/tex]. We can make several equations from the information we know. We know that Elga's age plus five equal's Alvin's age.
[tex]x+5=y[/tex]
We also know that the sum of their ages is 85.
[tex]x+y=85[/tex]
We can substitute [tex]x+5[/tex] for [tex]y[/tex] in the second equation since [tex]x+5=y[/tex], so we have the following equation:
[tex]x+(x+5)=85[/tex]
We can combine like terms to get
[tex]2x+5=85[/tex]
Subtracting 5 from both sides results in
[tex]2x=80[/tex]
After that, we can divide both sides by 2 to get
[tex]x=40[/tex]
Thus, Elga is 40 years old.
Answer:
e = 40
a=45
Step-by-step explanation:
a + e = 85
a = e+5
e + 5 + e = 85
2e = 80
e = 40
a=45
Emily is standing 150 feed from a circular target with a radius of 3 inches. To hit a bulls's eye, she must hold the gun perfectly level. Will she hit the target if her aim is off by two-tenths of a degree in any direction? (please show work - not just answer the question yes or no).
Answer:
yes
Step-by-step explanation:
She aims at the center of the target. If she is off by 1.5 in. or less, she hits the target. We need to find what distance from the bull's eye an angle of 0.2° will make at 150 ft distance.
tan A = opp/adj
tan 0.2° = opp/150
opp = 150 * tan 0.2°
opp = 0.52 in.
Since 0.52 in. < 1.5 in. she will hit the target.
a church distributed 1950 boxes of food during a disaster. The food was distributed lasted 30 days. How many boxes of food were distributed on average each day?
Answer:
Average of 65 boxes each day
Step-by-step explanation:
1950÷30=65
Please help. Solve the triangle. Round ans to the nearest tenth.
9514 1404 393
Answer:
C = 21°a = 13.3c = 5.4Step-by-step explanation:
The third angle can be found from the sum of angles in a triangle.
A + B + C = 180°
C = 180° -62° -97°
C = 21°
__
The remaining side lengths can be found using the Law of Sines.
a/sin(A) = b/sin(B)
a = sin(62°)(15/sin(97°)) ≈ 13.34
Similarly, ...
c/sin(C) = b/sin(B)
c = sin(21°)(15/sin(97°)) ≈ 5.42
The remaining side lengths are approximately ...
a ≈ 13.3
c ≈ 5.4
What is the correct definition for sec theta?
Answer:
D Is the correct answer Thats was too easy
Answer:
sec(θ) = hypotenuse / adjacent.
Step-by-step explanation:
sec theta= cos -1 theta
what is the value of -2(7-15)/4
The top and bottom ends of a windshield wiper blade are R = 24 in. and r = 14 in., respectively, from the pivot point. While in operation, the wiper sweeps through 135°. Find the area swept by the blade. (Round your answer to the nearest whole number.)
Answer:
Area swept by the blade = 448[tex]in^{2}[/tex]
Step-by-step explanation:
The arc the wiper wipes is for 135 degrees angle.
So, find area of sector with radius 24 inches. And the find area of arc with r=14 inches.
Then subtract the area of sector with 14 inches from area of sector with radius as 24 inches.
So, area of sector with r=24 in =[tex]\frac{135}{360} *\pi *24^{2}[/tex]
Simplify it,
=216[tex]\pi[/tex]
Now, let's find area of sector with radius 14 inches
Area of sector with r=14 in = [tex]\frac{135}{360} *\pi *14^{2}[/tex]
Simplify it
=73.5[tex]\pi[/tex]
So, area swept by the blade = 216[tex]\pi[/tex] -73.5[tex]\pi[/tex]
Simplify it and use pi as 3.14.....
Area of swept =678.584 - 230.907
=447.6769
Round to nearest whole number
So, area swept by the blade = 448[tex]in^{2}[/tex]
If you draw a card with a value of three or less from a standard deck of cards, I will pay you $41. If not, you pay me $11. (Aces are considered the highest card in the deck). If you played this game 877 times how much would you expect to win or lose?
There are 12 cards with a value ≤ 3 (3 between 1, 2, and 3, and multiply by 4 to count each suit). So the probability of drawing one of these cards and thus winning the game is 12/52 = 3/13.
The expected winnings for playing this game once are
3/13 × ($41) + 10/13 × (-$11) = $1
so after playing 877 times, you can expect to win a total of $877.
What is A∪ϕ and A∩ϕ for a set A?
Answer:
1 ans A second phi okay yed
PLESE HELp ANYONE. SOLVE ABC. ROUND YOUR ANSWERS TO THE NEAREST HUNDREDTH IF NECESSARY
Answer:
C=25°
a=11
b=12
Step-by-step explanation:
Find angle c,since angles in a triangle add up to 180 and we know angleA andB angle C will be
65+90+C=180
C=180-155
C=25°
To find a
use trig ratios
tanA=opposite/adjacent
tan65=a/5
a=tan65×5
a=10.72 round off to 11
To find b
sinC=opposite/hypotenuse
sin25=5/b
sin25 b=5
b=11.8 or rather 12
Answer:
Step-by-step explanation:
First find side a and to find this calculate tan 65
Tan 65 = [tex]\frac{opposite \ side}{adjacent\ side}=\frac{a}{5}\\\\[/tex]
2.144 = a/5
a = 2.144 * 5
b² = a² + c²
= 121+25
= 146.
b = √146 = 12.08 = 12
a = 10.72 = 11
Now find Tan C
[tex]Tan \ C = \frac{5}{10.72}\\\\Tan \ C = 0.4664\\[/tex]
C = tan⁻¹ 0.4664
C = 25°
14 Calculate the mode from the following data: 7,8, 6, 5, 10, 11, 4, 5,2 b. 5: а. 3.' 4 6 с. d: 6
MODE IS THE NUMBER THAT IS REPEATED THE HIGHEST TIME..
HERE, IN YOUR QUESTION 5CAME 2 TIMES i.e. it is repeated highest time .so mode=5....
What is the following product?
(Xv7-3v8)(xv7-3v8)
Answer:
B
Step-by-step explanation:
I'm not really sure tho
please help!! What is the equation of the line that passes through (0, 3) and (7, 0)?
Answer: y= -3/7x + 3
Step-by-step explanation:
I used some graph paper for this, mark the two points and use a ruler to connect the lines. y=-3/7x is slope, and 3 is the y intercept.
Answer:
3x + 7y -2=0
Step-by-step explanation:
Two points are given to us and we need to find the Equation of the line passing through the two points . The points are (0,3) and (7,0) . We can use here two point form of the line as ,
[tex]\implies y-y_1 = \dfrac{y_2-y_1 }{x_2-x_1} ( x - x_1) \\\\\implies y - 3 =\dfrac{3-0}{0-7}(x - 0 ) \\\\\implies y - 3 =\dfrac{-3}{7}x \\\\\implies 7y - 2 = -3x \\\\\implies \underline{\underline{3x + 7y -2 = 0 }}[/tex]
Using the following image, solve for x
Answer:
x= -3
Step-by-step explanation:
2x+14= 8
2x= -6
x = -3
Answer:
-3
Step-by-step explanation:
According to the question,
[tex]\longrightarrow[/tex] CE = CD + DE
[tex]\longrightarrow[/tex] 8 = (x + 10) + (x + 4)
[tex]\longrightarrow[/tex] 8 = x + 10 + x + 4
[tex]\longrightarrow[/tex] 8 = 2x + 14
[tex]\longrightarrow[/tex] 8 ― 14 = 2x
[tex]\longrightarrow[/tex] ―6 = 2x
[tex]\longrightarrow[/tex] ―6 ÷ 2 = x
[tex]\longrightarrow[/tex] –3 = x
Therefore, the value of x is ― 3.
If someone can pls give the answer with steps that would be greatly appreciated :)
hope it helps.
stay safe healthy and happy..Answer: look below
Step-by-step explanation:
A straight angle is 180
180-50=130
the opposite is also the same angle which is the same
180-50-50=80 and 80 + 2x =180
x=50
the angles are 50, 50, 50, 50, 80, 130 and 130 degrees respectively