Answer:
tergtjmsrhatsfdghb
Step-by-step explanation:
Amy is scuba diving. She starts at – 15.5 m relative to the ocean surface. She swims
down 4.2 m. Then she swims up halfway to the surface. What is her position
relative to the ocean surface?
(Will give Brainlist)
Answer:
-9.85
Step-by-step explanation:
-15.5 - 4.2 = -19.7
Negatives work like positives
19.7 / 2 = 9.85
Turn that into a negative
-9.85
Mai biked 5 1/4 miles today, and Noah biked 2 1/2 miles. How many times the length of Noah’s bike ride was Mai’s bike ride?
Answer:
The length of Mai's bike ride was 2.1 times the length of Noah's ride.
Step-by-step explanation:
Mai biked 5 1/4 miles today
So he biked, in miles:
[tex]5 + \frac{1}{4} = \frac{5*4 + 1}{4} = \frac{20+1}{4} = \frac{21}{4}[/tex]
Noah biked 2 1/2 miles.
So, in miles, he biked:
[tex]2 + \frac{1}{2} = \frac{2*2 + 1}{2} = \frac{4+1}{2} = \frac{5}{2}[/tex]
How many times the length of Noah’s bike ride was Mai’s bike ride?
We divide the Mai distance by Noah's distance. In a division of fractions, we multiply the numerator by the inverse of the denominator. So
[tex]\frac{\frac{21}{4}}{\frac{5}{2}} = \frac{21}{4} \times {2}{5} = \frac{21*1}{2*5} = \frac{21}{10} = 2.1[/tex]
The length of Mai's bike ride was 2.1 times the length of Noah's ride.
graph negative 2y plus 6 equals 4x
Answer:
Step-by-step explanation:
Given a point translated from A(1,2) to B(4,4). If a point C at (0,0) is translated in the same way, what will be its new endpoints?
A.(−3,−2)
B.(3,2)
C.(2,2)
D.(3,3)
please help
Answer:
B. (3,2)
Step-by-step explanation:
Step 1) When shifting from A(1,2) to B(4,4), the point shifted 3 units to the right (which means x=3) and 2 units upwards (which means y=2).
Step 2) So when you apply the same movements to point C(0,0), the new point will be (3,2).
See the diagram below. Step 1 is the graph on the left. Step 2 is the graph on the right. The movement is colored in green. Hope this helps!
find the slope and the y intercept
Y=1/3x + 2
Answer:
m = 1/3, b = 2
Step-by-step explanation:
The equation is already written is slope-intercept form, y = m x + b.
the amount people pay for cable service varies quite a bit but the mean monthly fee is $142 and the standard deviation is $29. the distribution is not normal many people pay about $76 for basic cable and about $160 for premium service but some pay much more. a sample survey is designed to ask a simple random sample of 1,500 cable service customers how much they pay. let x hat be the mean amount paid.
Part a: what are the mean an standard deviation of the sample distribution of x hat show your work and justify your reasoning.
Part b: what is the shape of the sampling distribution of x hat justify your answer.
Part C: what is the probability that the average cable service paid by the sample of cable service customers will exceed $143? show your work.
Answer:
a) By the Central Limit Theorem, the mean is $142 and the standard deviation is $0.7488.
b) By the Central Limit Theorem, approximately normal.
c) 0.0901 = 9.01% probability that the average cable service paid by the sample of cable service customers will exceed $143
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes 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.
The mean monthly fee is $142 and the standard deviation is $29.
This means that [tex]\mu = 142, \sigma = 29[/tex]
Part a: what are the mean an standard deviation of the sample distribution of x hat show your work and justify your reasoning.
Sample of 1500(larger than 30).
By the Central Limit Theorem
The mean is $142
The standard deviation is [tex]s = \frac{29}{\sqrt{1500}} = 0.7488[/tex]
Part b: what is the shape of the sampling distribution of x hat justify your answer.
By the Central Limit Theorem, approximately normal.
Part C: what is the probability that the average cable service paid by the sample of cable service customers will exceed $143?
This is 1 subtracted by the pvalue of Z when X = 143. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{143 - 142}{0.7488}[/tex]
[tex]Z = 1.34[/tex]
[tex]Z = 1.34[/tex] has a pvalue of 0.9099
1 - 0.9099 = 0.0901
0.0901 = 9.01% probability that the average cable service paid by the sample of cable service customers will exceed $143
Amanda is researching her ancestry. She records names and birth dates for her parents, their parents and so on, in an online research tool. If she can locate all of the information, how many names will Amanda record in the generation that is 5 generations before her?
Answer:
Step-by-step explanation:
Amanda will record 32 names for the five previous generations.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that Amanda is researching her ancestry. She records names and birth dates for her parents, their parents and so on, in an online research tool.
We can write the series as -
Amanda
{M} {F}
{M} {F} {M} {F}
.
.
so on
We can write the sequence as -
2, 4, 8, ....
It is a geometric sequence. For n = 5, we can write -
a(5) = arⁿ⁻¹
a(5) = 2 x (2)⁴
a(5) = 2⁵
a(5) = 2 x 2 x 2 x 2 x 2
a(5) = 32
Therefore, she will record 32 names for the five previous generations.
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ2
Solve for x. 6/x+ 2/5 = 8
Answer:
15/19
Step-by-step explanation:
6/x +2/5 = 8
(multiply through by x)
6 + 2x/5 = 8x
(minus 8x from both sides)
-38x/5 + 6 = 0
(subtract 6 from both sides)
-38x/5 = -6
(times by -1)
38x/5 = 6
Times 6 by 5 and then divide by 38.
=15/19
[tex]\pink{\bigstar}[/tex] Value of x [tex]\large\leadsto\boxed{\tt\purple{\dfrac{15}{19}}}[/tex]
• Given:-[tex]\sf \dfrac{6}{x} + \dfrac{2}{5} = 8[/tex]⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• To Find:-Value of x.⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Solution:-⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf \dfrac{6}{x} = 8 - \dfrac{2}{5}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Taking L.C.M:-
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf \dfrac{6}{x} = \dfrac{40-2}{5}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf \dfrac{6}{x} = \dfrac{38}{5}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Cross multiplying:-
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf 6 \times 5 = 38 \times x[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf 30 = 38 \times x[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Taking x term one side:-
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf x = \dfrac{30}{38}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Simplifying the fraction:-
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\large{\bold\red{x = \dfrac{15}{19}}}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Therefore, value of x is 15/19.
PLEASE HELP Christine walks 0.5 miles around the lake in 10 minutes.
What is the unit rate of her speed in miles per minute?
Answer:
Her speed is 0.05 miles per minute
Step-by-step explanation:
The unit rate of her speed in miles per minute is given by the number of miles divided by the number of minutes. So:
0.5 miles in 10 minutes. So
0.5/10 = 0.05 miles per minute
Her speed is 0.05 miles per minute
If the product of 2 3/4 and 2 3/5 is added to the quotient of 5/7 and 4/7, what is the sum? write the solution as a mixed number or a fraction in lowest terms.
Answer:
18/90
Step-by-step explanation:
6. A basketball team averaged 105 points per
game. How many points did the team score
ed
Bernd Melman Alamy
in 6 games?
Use distributive property to solve the problem
6 (3m + 2) + m
f(x) = 7x² + 21x - 70
factor
Answer:
Step-by-step explanation:
f(x)=7(x^2+3x-10)=7(x+2)(x-5)
9^x + 9^x-1 = 30 what's the value of x
Look at the formula for finding distance. Which of the following is the formula to find time? [picture included]
Answer:
A.
Step-by-step explanation:
Answer:
[tex] \huge \: \boxed { \boxed{ \red{ a)t = \frac{d}{r}}}}[/tex]Step-by-step explanation:
to understand thisyou need to know about:equationPEMDASgiven:[tex]d = rt[/tex]to find[tex]t[/tex]let's solve:[tex]step - 1 :define[/tex]
[tex]d = rt[/tex]
[tex]step - 2 : solve[/tex]
[tex]rewrite : \\ rt = d[/tex][tex]divide \: both \: sides \: by \: r : \\ \frac{rt}{r} = \frac{d}{r} [/tex][tex]simplify : \\ t = \frac{d}{r} [/tex][tex] \huge \: \boxed { \boxed{ \red{ \therefore t = \frac{d}{r}}}}[/tex]
help me out not all just what you can
9514 1404 393
Answer:
1e. 2t² +8t -6
2h. a² +2ab -3b²
3b. 8r +4
4b. 6x +4y -11
5b. e -3
Step-by-step explanation:
1e. Combine like terms.
(3t² +3t -6) +(-t² +5t) = t²(3 -1) +t(3 +5) -6
= 2t² +8t -6
__
2h. (2a² +3ab -4b²) -(a² +ab -b²)
Use the distributive property to eliminate parentheses. Note that all signs change in the second set of parentheses.
= 2a² +3ab -4b² -a² -ab +b² = a²(2 -1) +ab(3 -1) +b²(-4+1)
= a² +2ab -3b²
__
3b. The hash marks indicate sides of the same length. The perimeter is the sum of all side lengths.
P = (4r -2) +2(2r +3)
P = 4r -2 +4r +6 . . . . . . eliminate parentheses
P = 8r +4 . . . . . . . . . . . . combine like terms
__
4b. (3x +4y) +(5x -8) -(2x +3)
Note that the distributive property changes the sign of all terms in the last parentheses.
= 3x +4y +5x -8 -2x -3 . . . . eliminate parentheses
= x(3+5-2) +y(4) +(-8-3) . . . group like terms
= 6x +4y -11
__
5b.
Bill's age - Erin's age = (2e-3) -(e) = e -3
The difference in their ages is (e -3).
2. Do the representations below define a function? *
10
1
10
2
10
3
10
4
Yes, it is a function,
No, it is not a function,
Answer:
No it is not a function for sure.
Point Q was rotated by -30° (the center of rotation is indicated).
Answer:
What is your question dude???
Step-by-step explanation:
Answer:
Point C
Step-by-step explanation:
I just did It :). it went clockwise which is why it's NEGATIVE 30. If it were point D, it'd probably be about 60 degrees or so.
Use order of operations to simplify 6 squared - (5 -4) + 2( 8 - 2 squared) divided by 8
Please help me
-(8x)^2
-x/4=3
-8x-5=35
-4(z+7)=36
Forty percent of the students who enroll in a statistics course go to the statistics laboratory on a regular basis. Past data indicates that 55% of those students who use the lab on a regular basis make a grade of A in the course. On the other hand, only 15% of students who do not go to the lab on a regular basis make a grade of A. If a particular student made an A, determine the probability that she or he used the lab on a regular basis. (Round your answer to three decimal places.)
Answer:
0.71 = 71% probability that she or he used the lab on a regular basis.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Student got an A
Event B: Used the lab on a regular basis.
Probability of an student getting an A:
55% of 40%(go to the lab on a regular basis).
15% of 100 - 40 = 60%(do not go to the lab on a regular basis).
So
[tex]P(A) = 0.55*0.4 + 0.15*0.6 = 0.31[/tex]
Probability of getting an A and using the lab on a regular basis:
55% of 40%, so:
[tex]P(A \cap B) = 0.55*0.4 = 0.22[/tex]
Probability that she or he used the lab on a regular basis.
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.22}{0.31} = 0.71[/tex]
0.71 = 71% probability that she or he used the lab on a regular basis.
Which point is a solution to the inequality shown in this graph?
(3, 2)
(-3,-6)
Answer:
B. (0, 5)
Step-by-step explanation:
All points on the blue shaded area are solutions. Points on the dashed line and on the white area are not solutions.
(-3, -6) and (3, 2) are on the dashed line and are not solutions.
(5, 0) is in the white area and is not a solution.
(0, 5) is in the shaded area and is a solution.
Answer: B. (0, 5)
HELPPPPPPPPPPPPPPPPPP
9514 1404 393
Answer:
(c) No, it is not a rectangle because the diagonals are not congruent
Step-by-step explanation:
The diagonals of a rectangle bisect each other and are the same length. The lengths of the diagonals of this figure are ...
AC = √((8-0)² +(6-2)²) = √(64+16) = 4√5
BD = √((5-3)² +(2-6)²) = √(4 +16) = 2√5
The diagonals are different lengths, so the parallelogram is not a rectangle. This is described correctly in choice C:
No, it is not a rectangle because the diagonals are not congruent.
_____
The lengths are found using the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)
It's C, the diagonals are not congruent (they aren't equal) and with rectangles they always have to be.
a local pet care center pays you $8 per hour to walk dogs. last summer you worked 36.75 hours a week. what was your total weekly straight time pay for one week?
Answer:
$294
Step-by-step explanation:
8(36.75) = $294
Answer:
294
Step-by-step explanation:
8(36.75)
= $294
Kristin has 3 2/3 yards of plaid ribbon. She has 2 5/6 yards of polka-dot ribbon.
Part A
Estimate how many yards of ribbon Kristin has in all.
I don't know :/ sorry hold on wait
Find the 11th term of the geometric sequence 2, -6, 18, ...
How many lines of symmetry are there in the object pictured below?
A. 0
B. 2
C. 3
D. 1
what is the length of the diagnal of the rectangle- iready
Answer:the what:0
Step-by-step explanation:
please help with this question!
Answer:
12
Step-by-step explanation:
pemdas so -9×-12 making it -3 and then -36 / -3 would be 12 ur final answer
Solve for y by using the inverse (opposite) operation.
−47y=−8
Answer:
y=14
Step-by-step explanation:
solve for y by simplifying both sides of the equation then insolating the variable
