Answer:
rwrrwrwrr
Step-by-step explanation:
wrrwrrw
PLEASE HELP!
On a standardized exam, the scores are normally distributed with a mean of 155 and a standard deviation of 20. Find the z-score of a person who scored 145 on the exam.
Answer:
-0.5
Step-by-step explanation:
z-score = (x- mean)/SD
(145-155)/20 = -10/20 = -0.5
Answer:
Step-by-step explanation:
z=\frac{x-\mu}{\sigma}
z=
σ
x−μ
z-score formula
z=\frac{155-190}{20}
z=
20
155−190
Plug in values
z=\frac{-35}{20}
z=
20
−35
Subtract
z=-1.75
z=−1.75
Divide
\text{They scored 1.75 standard deviations below the mean.}
They scored 1.75 standard deviations below the mean.
At a particular supermarket, 80 percent of customers have the supermarket club card. Determine the probability that, in a random sample of 10 customers: a. Exactly 4 customers have the supermarket club card. B. At most 2 customers have the supermarket club card. C. At least 7 customers have the supermarket club card.
Answer:
a) 0.55% probability that exactly 4 customers have the supermarket club card.
b) 0.01% probability that at most 2 customers have the supermarket club card.
c) 87.91% probability that at least 7 customers have the supermarket club card.
Step-by-step explanation:
For each customer, there are only two possible outcomes. Either they have the supermarket club card, or they do not. The probability of a customer having the supermarket club card is independent of other customers. So we use the binoial 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.
80 percent of customers have the supermarket club card.
This means that [tex]p = 0.8[/tex]
10 customers.
This means that [tex]n = 10[/tex]
a. Exactly 4 customers have the supermarket club card.
This is P(X = 4).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{10,8}.(0.8)^{4}.(0.2)^{6} = 0.0055[/tex]
0.55% probability that exactly 4 customers have the supermarket club card.
B. At most 2 customers have the supermarket club card.
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
[tex]P(X = 0) = C_{10,0}.(0.8)^{0}.(0.2)^{10} \cong 0[/tex]
[tex]P(X = 1) = C_{10,1}.(0.8)^{1}.(0.2)^{9} \cong 0[/tex]
[tex]P(X = 2) = C_{10,2}.(0.8)^{2}.(0.2)^{8} = 0.0001[/tex]
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0 + 0.0001 = 0.0001[/tex]
0.01% probability that at most 2 customers have the supermarket club card.
C. At least 7 customers have the supermarket club card.
[tex]P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)[/tex]
[tex]P(X = 7) = C_{10,7}.(0.8)^{7}.(0.2)^{3} = 0.2013[/tex]
[tex]P(X = 8) = C_{10,8}.(0.8)^{8}.(0.2)^{2} = 0.3020[/tex]
[tex]P(X = 9) = C_{10,9}.(0.8)^{9}.(0.2)^{1} = 0.2684[/tex]
[tex]P(X = 10) = C_{10,10}.(0.8)^{10}.(0.2)^{0} = 0.1074[/tex]
[tex]P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.2013 + 0.3020 + 0.2684 + 0.1074 = 0.8791[/tex]
87.91% probability that at least 7 customers have the supermarket club card.
help me fill this out thanks
Answer:
10
Step-by-step explanation:
We cannot use the Pythagorean Theorem here because we only have one side length. However, we can use the fact that [tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex]
I decided to make the corner with the 60° as ∠A, the corner with the 30° as ∠B, and the corner with the right angle as ∠C. While then making side a as the unmarked side, side b as the side with 5, and the hypotenuse p as side c.
Since we do not need to solve for a in this equation to solve for p, we can simply use the sides and numbers we are given.
Manipulating two of our equations, preferably the equations with the variables b and c, we can get [tex]\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex] and solving for c, which is p in this case, will give us [tex]c=\frac{bsin(C)}{sin(B)}[/tex]
Plugging in the numbers we have gives us [tex]c=\frac{5sin(90)}{sin(30)}[/tex] = 10 mi
What is 2.95 expressed as a fraction?
33640
40118
11880
5920
Answer:
59/20
Step-by-step explanation:
good luck 8th grade k-12-ers!
What are the solutions of the equation sec(x)cot(x)= -2 on the interval [0,2pi]? Choose all correct answers.
Answer:
The solutions are 7π/6 and 11π/6Step-by-step explanation:
Given the equation sec(x)cot(x)= -2 on the interval [0,2π]. In order to get the value of x, the following steps must be followed.
sec(x)cot(x)= -2
From trigonometry identity, sec(x)= 1/cos(x) and cot(x)= 1/tan(x) = cos(x)/sin(x)
subsituting this expressions in the given equation we have;
1/cos(x)*cos(x)/sin(x) = -2
1/sin(x) = -2
sin(x) = -1/2
[tex]x = sin^{-1}-1/2\\ x = -30^{0}[/tex]
Since sin is negative in the 3rd and 4th quadrant,
In the 3rd quadrant, x = 180+30 = 210°
In the 4th quadrant, x = 360-30 = 330°
Converting the values to radian;
since 180° = πrad
210° = 210π/180 rad
210° = 7π/6 rad
Similarly, 330° = 330π/180 rad
330° = 11π/6 rad
The solutions are 7π/6 and 11π/6
A histogram titled Number of texts has time on the x-axis and texts on the y-axis. From 6 a m to 7:59 a m there were 15 texts, 8 to 9:59 a m: 5, 10 a m to 11:59 p m: 0, 12 p m to 1:59 p m: 0, 2 p m to 3:59 p m: 0, 4 to 5:59 p m: 29, 6 to 7:59 p m: 19, 8 to 8:59 p m, 14, 10 p m to 11:59 a m: 5 The histogram shows the number of text messages sent by two high school juniors on one Monday. Which statement most reasonably explains the hours when 0 texts were sent? The students were asleep and did not have phones turned on. The students only had 100 text messages available. The students were in school and were not allowed to text. Texting is done in clusters.
Answer:
Answer: I think c,e
Answer: The students were in school and were not allowed to text
The time-span from 10 AM to 3:59 PM is when 0 messages were sent in total. This is likely the duration of either the entire school day or much of it. So it's likely the school does not allow texting or does not allow phones to be in use.
The volume of a cube depends on the length of its sides. This can be written
in function notation as (s). What is the best interpretation of (4) = 64?
Jar A contains 50% red marbles and 50% black marbles. Jar B contains 75% red marbles and 25% black marbles. Therefore, it is more likely to get a random sample of 10 red marbles from Jar B. This is an example of which of the following...
(5 Points)
A)Descriptive Statistics
B)Inferential Statistics
Answer:
A. Descriptive
Step-by-step explanation:
Please help!!!!!!!!!!!!!!!!!
Answer:
tan Z = 3/4
Step-by-step explanation:
[tex] \tan(Z) = \frac{21}{28} \\ \tan(Z) = \frac{3}{4} [/tex]
Two friends shop for fresh fruit. Jackson buys a watermelon for $6.35 and 4 pounds of cherries. Tim buys a pineapple for $4.25 and 3 pounds of cherries Use the variable P to represent the price in dollars per pound of cherries. Write and simplify an expression to represent how much more Jackson spent.
Answer:
7.65 + 5p - (2.45 - 4p) =
7.65 + 5p - 2.45 + 4p =
5.20 + 9p <==
Step-by-step explanation:
hope dis helps mark me as brainliest pls!!!!!
x: 3 5 6 10
y: 45 84 116 372
What is the result if the best fit exponential model for the following data set was used to predict the output when x=15?
A) 593
B) 783
C) 1284
D) 1693
Help meeee!!! Whats x
Answer:
74°
Step-by-step explanation:
The angle on a line = 180°
therefore:.
x + 106° = 180°
x = 180° - 106°
x = 74°
Answer: 74 degrees.
Step-by-step explanation:
Angles on the same side of a line add to 180.
The angle measure of 106 and the angle measure of x lie on the same side of the line WZ, so you can add them both to get 180:
106 + x = 180
x = 74
I need help with this question
2(y – 3) = 1.2 – y
Solve and explain
Answer:
y ≈ 2.4
Step-by-step explanation:
What is the period, phase shift, amplitude, and vertical shift of:
Y=1/2sin(theta/4-2pi/3)+2
Answer:
Period = 8π
Phase shift = 2π/3
Amplitude = 1/2
Vertical shift = 2
Step-by-step explanation:
y = A sin((2π/T)θ − B) + C
where A is the amplitude,
T is the period,
B is the phase shift,
and C is the vertical shift.
y = ½ sin(¼θ − 2π/3) + 2
So A = 1/2, T = 8π, B = 2π/3, and C = 2.
Rhombus A B C D is shown. The length of A B is 9 s + 29 and the length of opposite side D C is 10 s minus 16. What is the value of s and the length of side BC if ABCD is a rhombus? S = AB = units
Answer:
s=45 UnitsLength of side BC=434 UnitsStep-by-step explanation:
Given a rhombus ABCD
|AB|=|DC| (Opposite sides of a rhombus are equal)
|AB|=9s+29
|DC|=10s-16
Therefore:
9s+29=10s-16
Collect like terms
10s-9s=29+16
s=45 UnitsRecall: |AB|=9s+29
|AB|=9(45)+29=405+29=434 Units
Since all the sides of a rhombus are congruent
AB=AC=BD=CD
Therefore:
|BC|=434 Units
Therefore, the length of side BC=434 UnitsAnswer:
s=45
ab=434
Step-by-step explanation:
What is central tendency??
Answer:
central tendency is the tendency for the values of a random variable 2 cluster round it's mean,mode amdedian
Step-by-step explanation:
it's also called center/location of the distribution
A ladder that is 21 feet long is propped against a building. The bottom of the ladder was placed 4 feet from the base of the building. How high up on the building does the ladder reach? Round the answer to the nearest tenth of a foot.
4.1 feet
17.0 feet
20.6 feet
21.4 feet
Answer:20.6
Step-by-step explanation:
20.6
Answer:
C) 20.6
Step-by-step explanation:
just took the test
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
3, 15/2, 75/4, .....
Find the 8th Term
Answer:
Step-by-step explanation:
First term is 3
common difference = 15/2 divided by 3 = 5/2
8th term = a * r^7
3 * (5/2)^7 = 1,831.0546875
To the nearest thousandth 1,831.055
Find the greatest common factor.
бах2 + бах + ба
Answer:
6a
Step-by-step explanation:
The GCF (Greatest Common Factor) is a number/variable that you can take out of all of the terms in the expression.
In this case, each term in this expression has a 6, and an a, but not all have an x, so we only take out:
6a
By taking 6a, you get:
6a([tex]x^2[/tex] + x + 1)
Please Help me now plz
Answer:
On the circle
Step-by-step explanation:
The distance between D and G is:
[tex]\sqrt{(-1-(-10))^2+(3-1)^2}=\sqrt{9^2+2^2}=\sqrt{81+5}=\sqrt{86}[/tex]
If point J is not exactly this far, then it is not on the circle.
[tex]\sqrt{(-1-(-3))^2+(12-3)^2}=\sqrt{2^2+9^2}=\sqrt{5+81}=\sqrt{86}[/tex]
Therefore, it is on the circle. Hope this helps!
Workers preparing for the city's Fourth of July celebration shoot an object straight up with an initial velocity of 210 ft/s2 from a height of 3 feet above the ground. Will the object reach a height of 670 feet 0, 1, or 2 times? Use the equation h=16t^2+vt+c where v is the initial velocity in feet per second and c is the initial height in feet of the object above the ground. Use the discriminant to explain your answer. Group of answer choices a) 2 times; The discriminant is positive, so the equation has two solutions. b) 0 times; The discriminant is negative, so the equation has no solutions. c) Cannot determine. There is no discriminant in the equation. d) 1 time; The discriminant is zero, so the equation has one solution.
Answer:
C
Step-by-step explanation:
Answer:
It is actually a
Step-by-step explanation:
consider the graph of the function y=1/4x2-3x-40. what are the roots of the function?
Answer: the roots are x = 20 and x = -8
Step-by-step explanation:
We have the function
y = (1/4)x^2 - 3x - 40
We want to find the roots, that are the points in where y(x) = 0
For a quadratic equation of the form:
y = a*x^2 + bx + c the roots are:
[tex]x = \frac{-b +-\sqrt{b^2 -4*a*c} }{2*a}[/tex]
in this case we have:
[tex]x = \frac{3 +-\sqrt{3^2 +4*(1/4)*40} }{2*(1/4)}= \frac{3 +-7}{(1/2)}[/tex]
So the two roots are:
x = 2*(3 + 7) = 20
x = 2*(3 - 7) = -8
The local weather forecaster says she can predict whether it will rain with 80% accuracy which is equivalent to a 0.8 chance of being correct. If she forecasts rain 160 times, how many of these times would you expect she is wrong?
Answer:
You should expect her to be wrong 32 times.
Step-by-step explanation:
For each forecast that she makes, there are only two possible outcomes. Either she is correct, or she is not. The probability of she being correct on a forecast is independent of other forecasts. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
0.8 chance of being correct.
So 1 - 0.8 = 0.2 change of being wrong, which means that [tex]p = 0.2[/tex]
160 forecasts:
This means that [tex]n = 160[/tex]
How many of these times would you expect she is wrong?
[tex]E(X) = np = 160*0.2 = 32[/tex]
You should expect her to be wrong 32 times.
Simplify the radicals in the given expression:
8^3√a^4b^3c^2-14ab^3√ac^2
8ab√ac^2-14ab^3ac^2
8a^2ba^3√b-14abc^3a
8ab^3ac^2-14ab^3√ac^2
8a^2bc√b-14abc√a
i've gotten the answer it is "8ab^3ac^2-14ab^3√ac^2"
Answer: it’s option c
Step-by-step explanation:
Simplified form of radical 8∛(a⁴b³c²)-14b∛(ac^(2)) is -6ab∛ac².
What is radical?
The symbol '√' that expresses a root of a number is known as radical and is read as x radical n or nth root of x. The horizontal line covering the number is called the vinculum and the number under it is called the radicand. The number n written before the radical is called the index or degree.
Given radical
8∛(a⁴b³c²)-14b∛(ac^(2))
Rewriting a⁴b³c² as (ab)³ ac²
8∛((ab)³ac²)-14b∛(ac²)
8ab∛ac² - 14b∛ac²
-6ab∛ac².
Hence, -6ab∛ac² is the simplified form of 8∛(a⁴b³c²)-14b∛(ac^(2)).
Learn more about radical here:
https://brainly.com/question/1369233
#SPJ2
Melissa needs to wrap a gift box that is shaped like a rectangular prism. The length is 6 inches, the width is 6 inches and the height is 8 inches. How much wrapping paper does she need to cover the whole box
Answer:
A=264
Step-by-step explanation:
UV and RV are secant segments that intersect at point V.
Circle C is shown. Secants U V and R V intersect at point V outside of the circle. Secant U V intersects the circle at point T, and secant R V intersects the circle at point S. The length of U V is 12, the length of T V is a, the length of R S is 5, and the length of S V is 4.
What is the length of TV?
1 unit
1Two-thirds units
2One-half units
3 units
Answer:
(D)3 units
Step-by-step explanation:
To find the value of a, we use the Theorem of Intersecting Secants.
Applying this to the diagram, we have:
UV X TV = RV X SV
12 X a=(5+4)*4
12a=9*4
12a=36
Divide both sides by 12
a=3 units.
The correct option is D.
By applying the Theorem of Intersecting Secants, the length of TV (a) is equal to: D. 3 units.
What is the Theorem of Intersecting Secants?The Theorem of Intersecting Secants states that the product of a secant and its external secant is equal to the product of the other secant and its external secant, when two (2) secants are drawn to a circle from an exterior (outside) point:
How to determine the length of TV?In order to determine the length of TV (a), we would apply the Theorem of Intersecting Secants as follows:
UV × TV = RV × SV
12 × TV = (5 + 4) × 4
12TV = 9 × 4
12TV = 36
TV = 36/12
TV = 3 units.
Read more on Intersecting Secants here: https://brainly.com/question/1626547
#SPJ2
At a cafe, the Bishop family pays $12 for a salad, a fruit bowl, and two sandwiches. The Cortez family pays $14 for two salads
and two sandwiches The Donovan family pays $14 for a salad and three fruit bowls What is the price of a fruit bowl at the
cafe?
Answer: The price of a fruit bowl at the cafe is $3
Step-by-step explanation:
$3 in the price of a Fruit bowl at the cafe.
What is the price of a fruit bowl at the cafe?
According to the given In the question,
Let,
price of a Salad = Sl
price of a fruit bowl = Fb
Fb price of a sandwich = Sd
Sl + Fb+sd=$12 ..1
2 SI + 2 Sd = $14 ..2
Sl + 3Pb Fb = $14 ..3
from equation 2
Sl = 7 - Sd
from equation 3
7 - Sd + 3Fb = 14
Sd = 3Fb - 7
from equation 1
14- 3Fb+Fb+ 2(3Fb-7)=12
14- 2 Pb +6Fb-14=12
4Fb = 12
Fb = 3
Problem-solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.
Learn more about Problem-solving here: brainly.com/question/23945932
#SPJ2
State the order and type of each transformation
of the graph of the function
f(x) = (5(x - 1)) 3 - 2 as compared to the graph
of the base function.
Answer:
Graph.
f(x)=5(x−1)3−2
Step-by-step explanation:
This is the next one!!
Answer:
5
Step-by-step explanation:
1 ,3 ,0, 6 ,x
To find the mean, we add them all up and divide by the number of numbers
(1+3+0+6+x) / 5 = 3
Multiply each side by 5
(1+3+0+6+x) / 5 *5= 3*5
(1+3+0+6+x) = 15
Combine like terms
10+x = 15
Subtract 10 from each side
10+x-10=15-10
x = 5
What is the measure of angle DEF?
E
28°
47°
D
F
[Not drawn to scale]
75°
b
90°
с
25°
Od
105°
Answer:
D 105
Step-by-step explanation:
all the angles in a triangle add up to 180 degrees.
So just take 180 and subtract the 2 given angles.
Answer:
105 degree dear.......
