Answer:
The probability that a household in Maryland has an annual income of X or more is 1 subtracted by the p-value of [tex]Z = \frac{X - \mu}{\sigma}[/tex], in which [tex]\mu[/tex] is the mean income and [tex]\sigma[/tex] is the standard deviation of incomes.
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.
In this question:
Mean [tex]\mu[/tex], standard deviation [tex]\sigma[/tex]
What is the probability that a household in Maryland has an annual income of X or more?
The probability that a household in Maryland has an annual income of X or more is 1 subtracted by the p-value of [tex]Z = \frac{X - \mu}{\sigma}[/tex], in which [tex]\mu[/tex] is the mean income and [tex]\sigma[/tex] is the standard deviation of incomes.
Choose the equation for the line that passes through (6, 5) and is parallel to the line x + 3y = 9.
Answer:
y = -1/3x + 7
Step-by-step explanation:
x + 3y = 9 ⇒ y = -1/3x + 3
Use point-slope form and substitute the values:
[tex]y-y_1=m(x-x_1)\\y-5=-\frac{1}{3}(x-6)\\y-5=-\frac{1}{3}x+2\\y=-\frac{1}{3}x+7[/tex]
On a particular game show, there are 8 covered buckets and 2 of them contain a ball.
To win the game, a contestant must select both buckets that contain a ball. Find the
probability that a contestant wins the game if he/she gets to select 4 of the buckets.
Answer:
0.2143 = 21.43% probability that a contestant wins the game if he/she gets to select 4 of the buckets.
Step-by-step explanation:
The buckets are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[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]
In this question:
8 covered buckets, so N = 8.
4 buckets are selected, so n = 4.
2 contain a ball, which means that k = 2.
Find the probability that a contestant wins the game if he/she gets to select 4 of the buckets.
This is P(X = 2). So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,8,4,2) = \frac{C_{2,2}*C_{6,2}}{C_{8,2}} = 0.2143[/tex]
0.2143 = 21.43% probability that a contestant wins the game if he/she gets to select 4 of the buckets.
What is the solution of the equation x² = 64?
4
+4
18
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: x = ±8}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
➺ [tex] {x}^{2} = 64[/tex]
➺ [tex] \: x = \sqrt{64} [/tex]
➺ [tex] \: x = \sqrt{8 \times 8} [/tex]
➺ [tex] \: x = \sqrt{ ({8})^{2} } [/tex]
➺ [tex] \: x = ±8[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
I need help anyone please
Answer:
b = 19 inches
h = 5 inches
A = 95 inches^2
Step-by-step explanation:
The area is given by
A = bh where b is the base and h is the height
b = 19 inches
h = 5 inches
A = 19 inches * 5 inches = 95 inches^2
What are the coordinates of the point that is 1/5
of the way from A(-7,-4) to
B(3,6)?
A. (-5,0)
B. (-5,-2)
C. (0,3)
O D. (1,4)
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Answer:
B. (-5, -2)
Step-by-step explanation:
That point is ...
A + 1/5(B - A)
= (-7, -4) + 1/5(3 -(-7), 6 -(-4)) = (-7, -4) +1/5(10, 10)
= (-7, -4) +(2, 2) = (-5, -2)
The point (-5, -2) is 1/5 of the way from A to B.
Lisa's shop sells 5 quarts of ice cream each day. How much is this in pints?
Answer:
10
Step-by-step explanation:
We know there are 5 quarts.
There are 2 pints for each quart.
This can be though of as a ratio of:
2 : 1
There are 5 quarts, which is 5 times bigger than the ratio of 1.
So this means we need to mutliply both sides of the ratio by 5, to make the quarts equivelent to 5:
2*5 : 1*5
=
10 : 5
So for every 5 quarts there are 10 pints.
Hope this helps!
Use the Pythagorean Theorem to find the missing side
of right triangle RST in simplest radical form.
Answer:
9
Step-by-step explanation:
hip^2 = cat^2+cat^2
41^2= 40^2 + x^2
1681 = 1600 + x^2
1681-1600 = x^2
81 = x^2 /√
√81 = √x^2
9 = x
Solve the triangle.
B = 36°, a = 41, c = 17 (5 points)
Answer:
b = 29.0, A = 123.9°, C = 20.1°
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Answer:
b = 29.0; A = 123.9°, C = 20.1°
Step-by-step explanation:
The given angle lies between the given sides, so the Law of Cosines is the appropriate relation.
b² = a² +c² -2ac·cos(B)
b² = 1681 +289 -1394cos(36°) ≈ 842.2303
b ≈ √842.2303 ≈ 29.021
__
The Law of Sines can be used to find angle C:
sin(C)/c = sin(B)/b
C = arcsin(c/b·sin(B)) = arcsin(17/29.021×sin(36°))
C ≈ 20.1°
A = 180° -36° -20.1° = 123.9°
The remaining side and angles are ...
b ≈ 29.0; A ≈ 129.9°; C ≈ 20.1°
_____
Additional comment
By choosing to find the smaller angle C first, we avoid having to deal with the ambiguity associated with the arcsine when the angle is greater than 90°.
Please helpppp me i
Answer:
y=-15/2 + 3x/4
Step-by-step explanation:
Why is android sound louder then iPhone???
Answer ASAP
Cause my volume isn’t as loud as android and my speakers work fine and so does the volume?
Answer:
There are many outcomes or data that needs to be collected... like does the iPhone and android share the same speaker? or are your speaker grills blocked out by something? or is your iPhone old, because they do change the speaker each gen.
PLZ HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
tell me about your hobbies?
can you profit from the ?
do you learn from them? What do they teach you?
do your family members have hobbies?
explain to me?
Does your parents country have any particular customs/hobbies?
what is a hobby you could see developimg?
What do you think are some of the qualities that hobbies teach us?
WRITE 2 PARagraph
Answer:
Hobbies give teenagers a chance to meet new people, discover new passions, develop skills outside of school, and do something all kids (yes, teens are part kid) should do: have fun. ... That's where hobbies come in. Hobbies are a great way for teens to form an identity outside their family.
Step-by-step explanation:
Answer:
ok ok ok ok ok ok ok ok
Step-by-step explanation:
i don't know
Find the integer solutions that
satisfy the inequality, 2 < x + 5<7.
Give your answer as an inequality.
Use the < or > signs to represent your
inequality
Given:
The compound inequality is:
[tex]2<x+5<7[/tex]
To find:
The integer solutions that satisfy the given inequality.
Solution:
We have,
[tex]2<x+5<7[/tex]
Subtracting 5 from each side, we get
[tex]2-5<x+5-5<7-5[/tex]
[tex]-3<x<2[/tex]
All the real numbers between -3 and 2 are in the solution set but -3 and 2 are not included in the solution set.
The integers between -3 and 2 are -2, -1, 0, 1.
Therefore, the integer solution of the given inequality are -2, -1, 0, 1. The answer as an inequality is [tex]-3<x<2[/tex].
1. What are two possible first steps you could use when solving an equation like `6(x+4)=30?`
Answer:
Step-by-step explanation:
take 30 devide it by 6 then minose 4 off that and get x=1
Answer:
x = 1
Step-by-step explanation:
6(x + 4) = 30
Simplify.
6x + 24 = 30
Subtract 24 from each side.
6x + 24 - 24 = 30 - 24
Simplify.
6x = 6
Divide each side by 6.
6x ÷ 6 = 6 ÷ 6
Simplify.
x = 1
Which expression is equivalent to:1/m6
Answer:
A
Step-by-step explanation:
6 is a power. So both C and D are wrong because 6 is being treated as an ordinary integer.
So the answer must be either A or B.
B is not correct because to move an expression from the denominator to the numerator changes the sign in the base (which is m in this question).
A is correct. the power is changed from 6 in the denominator to -6 in the numerator. m is shifted to the numerator as well.
Select the correct answer from each drop down menu. The GCF of the numbers in the expression (32+16) is( ) The numbers left inside the parentheses after factoring out the GCF are ( ) and ( )
Answer:
Eu não entendo inglês!!
If the height of the tree trunk is 13 feet and the radius is 1.5 feet what is the volume in cubic feet round to the nearest 10th
Answer:
91.8 feet^3
Step-by-step explanation:
We can find out the area of a circle and then multiple that by the height to get the volume of the tree trunk (which is a cylinder).
Area of circle formula: pi x r^2
3.14 x 1.5^2 = 7.065
Now we can multiple it by the height and round to the nearest 10th.
7.065 x 13 = 91.845
91.845 -> 91.8
Hope this helps! Brainliest?
Answer:
Step-by-step explanation:
Givens
h = 13 feet
r = 1.5 feet
pi = 3.14
Equation
V = pi r^2 *h
V = 3.14 * 1.5^2 * 13
V = 91,8 cubic feet.
Please write an answer with NO FILES, NO LINKS, AND NO WRONG OR TRICK ANSWER!
Answer:
18 inches
Step-by-step explanation:
A=L·H
108 in²=L·6 in
L=[tex]\frac{108}{6}[/tex]
L=18 inches
i need help with this one plz! (marking BRAINLIST) :)
Answer:
I gotchu man watch this
Step-by-step explanation:
in order to find x u gotta use tan or toh
opposite over hyp
anyway 17*tan(21)
6.525688596
or 6.53
Answer:
Step-by-step explanation:
tan θ = opposite / adjacent
tan 21 = x / 17
17 tan 21 = x
x = 6.52
please help me asappppppp!
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Answer:
a) ADC
b) ABC
c) ACB
d) CAD, DAB
e) CDm, BDA
f) ABD
Step-by-step explanation:
a) Any of the letters on lines going through point D could be used to name an angle with DC as one side. (Letters s and C would name an angle of measure zero, so might not be of interest.)
∠ADC has side DC
__
b) Any angle name with B in the middle will have B as its vertex.
∠ABD is an angle with vertex B
__
c) Ray CE is coincident with ray CD, so ...
∠ACE is another name for ∠ACD
__
d) Adjacent angles share a side, typically between the two angles. A linear pair of angles will be adjacent angles.
∠BAD and ∠CAD are adjacent angles
__
e) In order to properly name a pair of vertical angles, we need to be able to name two sets of opposite rays that share end points. Opposite rays emanate from points C and D, but no named points are seen outboard of those intersections. If we use 'm' as the name of a point on line m, then we can say a pair of vertical angles is ...
CDm and BDA are two vertically opposite angles
__
f) The supplement to EBD will be the other angle that makes a linear pair with angle EBD. It is defined using point A on the ray opposite ray BE.
∠ABD is the supplement of ∠EBD
PLEASE ANYONE!! If the area of a triangle is 32 yd^2 and the base is 6.4 yds long, find the height
Answer:
10yd
Step-by-step explanation:
area= 1/2bh
area=32yd²
b= 6.4, ¹/2b=3.2
therefore, 32= 3.2h
h= 32/3.2
= 10yd
Contains the point (5, 4) and is perpendicular to the y axis
Answer:
y = 4
Step-by-step explanation:
A horizontal line at
y = 4
is perpendicular to the y-axis and includes all values of x
Question 6 of 10
How many solutions are there to the equation below?
12x + 32=124-7
A 1
B. iniintey many
co
SU
Answer:
1
Step-by-step explanation:
12x+32=117
12x=85
x=85/12
There are 6 different cookies on a plate. James will choose 2 of these cookies to pack in his lunch. How many different pairs of 2 cookies can he choose from the 6?
Answer:
15
Step-by-step explanation:
He could choose 1 & 2, 1 & 3, 1 & 4, 1 & 5, 1 & 6, 2 & 3, 2 & 4, 2 & 5, 2 & 6, 3 & 4, 3 & 5, 3 & 6, 4 & 5, 4 & 6, 5 & 6
PLEASE HELP WILL GIVE BRAINLEIST
Step-by-step explanation:
You can prove it by pythegoras use unit and you will get
Ef=gh
And FG=EH
Ezra had 46 green marbles. Then he bought 6 bags of blue marbles. There were 8 marbles in
each bag. How many marbles does Ezra have now?
marbles
Answer:
94 marbles
Step-by-step explanation:
46 green marbles + (6 bags x 8 pieces of marbles) = 94 marbles
Craig's goal was to read 25 books during the school year. He reads 8
before winter break and a before spring break. How many will he need
to read after spring break, in order to meet his goal?
Answer:
17
Step-by-step explanation:
Not lying like other ppl
please tell me? thx for ur help <3
Answer:
x = 63, y = 27
Step-by-step explanation:
x and 117 are adjacent angles and sum to 180°
x + 117 = 180 ( subtract 117 from 180 )
x = 63
x and y sum to 90°
x + y = 90
63 + y = 90 ( subtract 63 from both sides )
y = 27
Answer: x=63 y= 27
Step-by-step explanation:
180-117=63
x+y=90
63+y=90
90-63 = 27
hope this helps :)
To prepare for a party, Mark buys a small bunch of balloons for $6.00 and gift bags that cost $5.15 each. He spends a total of
$72.95 on the balloons and a gift bag for each person invited to the party. Write and solve an equation to find x, the number of
people Mark invited to the party
Answer: [tex]72.95 =6.00+5.15x[/tex] , Required equation
The number of people Mark invited to the party = 13
Step-by-step explanation:
According to the question,
Total amount spent = (Price of bunch of ballons)+(cost per gift) x (Number of persons)
Given: Total amount spent =$72.95 , Price of bunch of ballons =$6.00 ,
cost per gift =$5.15
thus,
[tex]72.95 =6.00+5.15x[/tex] , Required equation
To solve , first
subtract 6 from both sides, we get
[tex]66.95=5.15x\\\\\Rightarrow\ x=\dfrac{66.95}{5.15}\\\\\Rightarrow\ x=13[/tex]
The number of people Mark invited to the party = 13
Select the correct answer.
The variable g varies directly as the cube root of h. If g=128 when h=8, which equation can be used to find other combinations of g and h?
[tex]g \sqrt[3]{h} = 256[/tex]
[tex]g = 64 \sqrt[3]{h} [/tex]
[tex]gh = 1024[/tex]
[tex]g = 16h[/tex]
the second equation is correct
Step-by-step explanation:
I got it right on the test
The elective courses for next year are gym, shop, art, consumer science, criminal justice, and computer science. Amber needs to choose 3 electives. How many ways can she choose her electives
Answer:
She can choose her electives in 20 ways.
Step-by-step explanation:
The order in which she chooses the courses is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
[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]
How many ways can she choose her electives?
3 electives from a set of 6. So
[tex]C_{6,3} = \frac{6!}{3!(6-3)!} = 20[/tex]
She can choose her electives in 20 ways.