Answer:
2.28%
Step-by-step explanation:
The z score is used to determine how many standard deviations that the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then it is below the mean. It is given by:
[tex]z=\frac{x-\mu}{\sigma}\\ \\\mu = mean, \sigma=standard\ deviation,x=raw\ score\\\\For\ a\ sample\ n\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\For\ x<70.5\ in\\\\Given \ that\ n=100, \mu=71\ in, \sigma=2.5\ in\\\\z=\frac{70.5-71}{2.5/\sqrt{100} }=-2\\\\From\ normal\ distribution\ table, P(x<70.5)=P(z<-2)=0.0228=2.28\%[/tex]
what monthly amount is needed for a car loan with a starting balance of 8000 over 3 years with a fixed APR of 0.65%?
Answer:
80,341.99
Step-by-step explanation:
pay each Month $80 for 19 years , interest measured 3%
A diver swims 5.875 feet up to the surface of the water. Which number represents the diver’s position in relation to the surface before swimming to the top?
-5.9 feet
Negative 5 and three-fourthsfeet
-58 feet
Negative 5 and StartFraction 7 over 8 EndFractionfeet
Answer:
Negative 5 and 7 over 8
Step-by-step explanation:
Answer:
Negative 5 and StartFraction 7 over 8
Step-by-step explanation:
Choose an equivalent expression for 123 • 129 • 124 • 122.
124
1218
1235
12216
Question:
Choose an equivalent expression for 12^3 • 12^9 • 12^4 • 12^2
A. 12^4 B. 12^18 C. 12^35 D. 12^216
Answer:
[tex]12^{18}[/tex]
Step-by-step explanation:
Given
[tex]12^3 . 12^9 . 12^4 . 12^2[/tex]
Required
Determine the equivalent
Applying law of indices, we have:
[tex]12^{3 + 9 + 4 + 2}[/tex]
[tex]12^{18}[/tex]
Hence:
[tex]12^3 . 12^9 . 12^4 . 12^2 = 12^{18[/tex]
What is the goal of solving equations?
Answer:
The goal in solving an equation is to get the variable by itself on one side of the equation and a number on the other side of the equation. To isolate the variable, we must reverse the operations acting on the variable.
Step-by-step explanation:
The objective or equation would be to acquire the variables independently. A further explanation is provided below.
The objective is to address an expression by getting the component solely on a single side of this argument as well as a figure while on the other side of the same expression.Throughout the order to isolate variables, procedures that influence somewhat on variables have to be reversed. We achieve this by carrying out several halves of the expression the opposite of every process.
Learn more about equations here:
https://brainly.com/question/20989555
What is the solution to the system of equations?
x=-3y-6 3x+4y=2
A) (-30, 8)
B) (-18, 4)
C) (6, -4)
D) (-18, -4)
Hurry!!!!!
Una caja de 30 kg esta apoyada sobre una de sus caras que tiene 40 cm de ancho y 50 cm de largo. La presion que ejerce sobre el suelo sera
Answer:
294N
Step-by-step explanation:
La presion que ejerce sobre el suelo seria la fuerza de la caja contra el suelo. Esto se calcula multiplicando el peso de la caja por el valor de la gravedad de nuestra tierra. En esta situacion no se necesitaria las dimensiones de la caja.
Fuerza = 30kg * 9.8[tex]m/s^{2}[/tex]
Fuerza = 294N
Fuerza tiene un simbolo de N que significa Newtons que serian calculados como kg * m/s^{2} ... entonces la caja ejerce una fuerza de 294N sobre el suelo.
PLEASE HELP!?!?!
a. c + 7 less than or equal to 3
b. c – 3 > 1
c. c – 7 < 3
Matching
Match the inequality to the graph of its solution.
Which graph represents the function y2 = -16X?
Answer:
i think it is first, but i'm not sure.
Step-by-step explanation:
the first one is the most logical (to me)
Answer:
the first graph
Step-by-step explanation:
The hospital has a ratio of 8 nursing assistants to 1 m
ny, there are 6 nurses working. How many nursing assis
working today?
Suppose 52% of the population has a college degree. If a random sample of size 563563 is selected, what is the probability that the proportion of persons with a college degree will differ from the population proportion by less than 5%5%? Round your answer to four decimal places.
Answer:
The value is [tex]P(| \^ p - p| < 0.05 ) = 0.9822 [/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.52[/tex]
The sample size is n = 563
Generally the population mean of the sampling distribution is mathematically represented as
[tex]\mu_{x} = p = 0.52[/tex]
Generally the standard deviation of the sampling distribution is mathematically evaluated as
[tex]\sigma = \sqrt{\frac{ p(1- p)}{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{ 0.52 (1- 0.52 )}{563} }[/tex]
=> [tex]\sigma = 0.02106 [/tex]
Generally the probability that the proportion of persons with a college degree will differ from the population proportion by less than 5% is mathematically represented as
[tex]P(| \^ p - p| < 0.05 ) = P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 ))[/tex]
Here [tex]\^ p[/tex] is the sample proportion of persons with a college degree.
So
[tex]P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P(\frac{[[0.05 -0.52]]- 0.52}{0.02106} < \frac{[\^p - p] - p}{\sigma } < \frac{[[0.05 -0.52]] + 0.52}{0.02106} )[/tex]
Here
[tex]\frac{[\^p - p] - p}{\sigma } = Z (The\ standardized \ value \ of\ (\^ p - p))[/tex]
=> [tex]P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P[\frac{-0.47 - 0.52}{0.02106 } < Z < \frac{-0.47 + 0.52}{0.02106 }][/tex]
=> [tex]P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P[ -2.37 < Z < 2.37 ][/tex]
=> [tex]P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P(Z < 2.37 ) - P(Z < -2.37 )[/tex]
From the z-table the probability of (Z < 2.37 ) and (Z < -2.37 ) is
[tex]P(Z < 2.37 ) = 0.9911[/tex]
and
[tex]P(Z < - 2.37 ) = 0.0089[/tex]
So
=>[tex]P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) =0.9911-0.0089[/tex]
=>[tex]P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = 0.9822 [/tex]
=> [tex]P(| \^ p - p| < 0.05 ) = 0.9822 [/tex]
Please help me ...............,..
Answer:
Angle A and H are Alternate exterior angles and they are congruent.
Rosa believes she can use a division expression to find the cost per pound of ground beef when 2/3 pound sells for $4. Which statement best explains why Rosa is correct or incorrect? A. Rosa is correct in using a division expression because the term ""per"" implies the quotient of the quantities before and after that word. B. Rosa is correct in using a division expression because the cost per pound should be less than $4. C. Rosa is incorrect in using a division expression because ""cost per pound"" refers to the product of the price and weight. D. Rosa is incorrect in using a division expression because the cost per pound must be an integer.
Answer: A. Rosa is correct in using a division expression because the term ""per"" implies the quotient of the quantities before and after that word.
Step-by-step explanation:
The term ; Cost per pound can be interpreted mathematically to mean;
Cost / pound ; where per means division. In the context above ;
cost per pound = cost of 1 pound of an item ;
(Stated Cost of the item ÷ pound of the item at the stated cost)
For the question above ;
2/3 pounds of ground beef cost $4;
Cost per pound = cost of 1 pound of ground beef ;
= $4 ÷ (2/3)
= $6
Hence, 1 pound of ground beef cost $6
Answer:
so the answer is a. 1/25 hope this helps can my reward be brainlest???
Step-by-step explanation: What is the result of 5 divided by one-fifth?
5 fraction bars. Each bar is labeled 1 with 5 boxes labeled one-fifth underneath.
StartFraction 1 Over 25 EndFraction
One-fifth
1
25
The figure shows a pair of parallel lines
intersected by another pair of parallel lines.
Are the measures of Z4 and 214 related in
the same way as the measures of 29 and
Z7? Show your work.
Answer:
Step-by-step explanation:
m∠4 + m∠16 = 180° [Consecutive exterior angles]
m∠16 = m∠14 [corresponding angles]
Therefore, m∠4 + m∠14 = 180°
m∠7 + m∠11 = 180° [Consecutive interior angles]
m∠11 = m∠9 [Corresponding angles]
Therefore, m∠7 + m∠9 = 180°
In both the cases sum of the given angles is 180°.
Therefore, measure of ∠4 and ∠14 are related in the same way as the measurement of ∠9 and ∠7.
Savannah drove 716 miles on Monday. She drove another 572 miles one Tuesday. About how many more miles did she
drive on Monday than Tuesday?
400
300
200
100
the answer is 144 not sure what you're supposed to do with that. 144 rounded would just be 100.
716 - 572 = 144
which fraction is equivalent to -3/2?
PLSS I NEEED HELPP!!
Answer:
-6/4 is equivalent to that
Step-by-step explanation:
Please awnser correct, I Will give you $Brainlyest$ and pls no wRoNg AwNsErS. lol
Answer:
b
Step-by-step explanation:
Can you help me i wil give you a branlist and please help me
Answer:
i love free points dont you
A box of markers weighed 4 2/3 ounces.
If a teacher took out 4/6 of the markers,
what is the weight of the removed markers?
Answer choices 3 2/9 2 2/9 3 1/9
Answer:
i got none just me? i got 4
Step-by-step explanation:
Select the correct answer. What is the simplest form of the ratio 40: 167 ; A 20:8 ,B10:4 ,C5:4, D. 5:2, E. 10:8. Will give brainlyest. NEED ANSWERS ASAP
Answer:
It is in the simplest form and cannot be simplified.
Step-by-step explanation:
Answer:
5:2
Step-by-step explanation:
40/8 = 5 16/8 = 2
X+2/8=4-x/5 please hurry I’m in a rush
Wrap
Step-by-step explanation:
xsamksa
Find x. Give reasons to justify your solution
Answer: x = 28
===================================================
Explanation:
The angles COE, EOF, and FOB combine to form angle COB
angle COB = (angleCOE)+(angleEOF)+(angleFOB)
angle COB = (3x)+(x)+(x+12)
angle COB = 5x+12
----------
Angles AOD and COB are vertical angles, so they are congruent
angle COB = angle AOD
5x+12 = 152
5x = 152-12
5x = 140
x = 140/5
x = 28
If Megan's tuition, fees, and expenditures for books this year total $19,000, what will they be during her senior year (three years from now),
assuming costs rise 7 percent annually? Round Future value of a Single
Amount in intermediate calculations to four decimal places.
Answer:
$23,275.817
Step-by-step explanation:
To get this answer, multiply 19,000 by 1.07.
$19,000 x 1.07 = 20,330 (one year later)
$20,330 x 1.07 = $21,753.10 (two years later)
$21,753.10 x 1.07= $23,275.817 (three years later)
The answer round to cents would be $23,275.82
What is |-24| + |13| =?
Answer:
37
Step-by-step explanation:
just add the two numbers like they are not negative.
how do you simplify 50 1/2 + -12.3
Answer:
I believe you divide it
Step-by-step explanation:
hope this helps u
Answer:
38.2
Step-by-step explanation:
50 1/2=50.5 1/2=.5
50.5 + -12.3 is the same as 50.5 - 12.3
50.5 + -12.3= 38.2
50.5 - 12.3 = 38.2
Determine the slope of the line passing through the points (2,6) (1,6)
Answer:
0
Step-by-step explanation:
(6-6)/(1-2)=0
Answer:
The slope is zero
Step-by-step explanation:
it is zero because if you graph the two points the line is horizontal meaning that only the x value goes up as the y value stays put meaning that the slope of this line is zero
Divide 1/5 divided by 1/12
Answer:
I believe it's 2 2/5
Step-by-step explanation:
1 /5 ÷ 1 /12 = 1 / 5 × 12 /1
=
1 × 12
---------
5 × 1
=
12 /5 = 2 2 /5
Hey! I'm having trouble with this one problem in precalc.
Verify the identity: cot x minus pi divided by two = -tan x
Answer:
O-O is this highschool stuff sorry couldnt help
Step-by-step explanation:
Find the length of the segment...
NEED HELP FOR A TEST tomorrow
Answer:
The length of the segment is 5
9. Determine whether KM and ST are parallel, perpendicular, or neither. K(-1, -8). M(1,6), S(-2,-6), T(2, 10) plz help!!!
Answer:
they are neither
Step-by-step explanation:
because if you connect the dots they are neither parallel or perpendicular
Write a equivalent expression for the expression 6x-18-12y using a negative factor
Answer:
-2*(6y-3x+9)
Step-by-step explanation:
Answer:
-6(-x+3+2y)
Step-by-step explanation:
