Answer:
The investors are: -3, -1 and 1
Step-by-step explanation:
Given
Three consecutive odd numbers
[tex]Sum = -3[/tex]
Required: Determine the odd numbers
Let the smallest be x. So, the other 2 are: x + 2 and x + 4.
The sum is then:
[tex]Sum = x + x + 2 + x +4[/tex]
[tex]Sum = 3x +6[/tex]
[tex]3x +6 = -3[/tex]
Collect Like Terms
[tex]3x = -3-6[/tex]
[tex]3x = -9[/tex]
[tex]x=-3[/tex]
The other two are:
[tex]x + 2 = -3 + 2 = -1[/tex]
[tex]x + 4 = -3 + 4 = 1[/tex]
Hence, the investors are: -3, -1 and 1
What is the coefficient of 20x?
Answer:
20
Step-by-step explanation:
A coefficient is the number that is attached to the variable.
In this case, the number attached to the variable is 20.
Therefore, the coefficient is 20
hope this helps :)
According to a recent warning from the FDA, grain-free food might be giving dogs a life- threatening heart problem called dilated cardiomyopathy, or DCM. Scientists interested in studying this link were trying to see if there was a difference in the average blood pressure between four different food types (expensive grain-free dog food, cheap grain-free dog food, expensive dog food with grain included, and cheap dog food with grain included). What hypothesis test would be appropriate for analyzing the above scenario?
z test of independent averages
chi-squared goodness of fit test
ANOVA
test of two proportions
paired t-test
chi-squared test of independence
t test of independent averages
Answer:
z test of independent averages
chi-squared goodness of fit test
ANOVA
test of two proportions
paired t-test
chi-squared test of independence
t test of independent averages
Step-by-step explanation:
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Answer:
Yes
Step-by-step explanation:
Substitute 2+1=3
3=3
Equal means solution
Answer:
Yes (2,3) is a solution to this system of equations
Step-by-step explanation:
(x,y) (2,3) so x=2 y=3
3=3
3=2+1
Equations are true so it's a solution
Solve for x. (RIGHT ANSWER WILL GET BRAINLIEST)
Answer:
67
Step-by-step explanation:
The angle with x in it is a vertical angle to the other one labeled & the right angle put together.
Therefore:
48 + 90 = 2x + 4
Solve for x:
138 = 2x + 4
138 - 4 = 2x + (4-4)
134 = 2x
134/2 = 2x/2
X = 67
Hope this helps! Have a great day!
what is 2 - 1/8
???????????????????????
Answer:
1 7/8
Step-by-step explanation:
2 - 1/8 = 1 7 /8
1 7/8 + 1/8 = 2
What is the equation for the lines that passes through the coordinates (2,7) and (0,1)
Answer:
(x1,y1) is (2,7)
(x2,y2) is (0,1)
Step-by-step explanation:
Point-slope form is:
(y-y1) = ( (y2-y1) / (x2-x1) )(x - x1)
y - 7 =( (-6)/(0-2) )(x-2)
y - 7 = 3x - 6
y = 3x + 1 [slope-intercept form]
Check:
Is (2,7) on the line:
7 = 3(2) + 1 ?
y = 7 ?yes
Is (0,1) on the line:
1 = 3(0) + 1 ?
1 = 1 ? yes
Answer:
y=3x+1
to find the slope, find the change in y/change in x
7-1=6
2-0=2
6/2=3
3 is your slope
your y intercept occurs when x=0, and that was given to you in the problem
(0,1)
your y int is 1
y=3x+1
Solve: 0=-x2+2x+8
[tex]0=-x2+2x+8[/tex]
Answer:
x = 4
x = -2
Step-by-step explanation:
In ACDE, the measure of ZE=90°, DE = 2.1 feet, and CD = 4.4 feet. Find the measure
of ZD to the nearest tenth of a degree.
D
4.4
2.1
E
С
Answer: 61.5
Step-by-step explanation: gave up on deltamath
c) 20 blank CD-Roms cost £3.20
How much do 75 CD-Roms cost?
Answer:
the cost of 75 CD Roms is £12
Step-by-step explanation:
The computation of the 75 CD roms cost is shown below:
Since it is mentioned that
for 20 blank CD roms it cost £3.20
So for 75 CD Roms, the cost would be
= £3.20 × 75 ÷ 20
= £12
Hence, the cost of 75 CD Roms is £12
solve for x. Please show work
Answer:
9
Step-by-step explanation:
What is 5x1=??? :) This is SOO hard!:( I will give hmmmm 96 point!
Answer:
5
Step-by-step explanation:
4 5/6 - 4 1/3 in simplest form
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{4\dfrac{5}{6}-4\dfrac{1}{3}\ =}[/tex]
[tex]\mathsf{4\dfrac{5}{6}=\bf \dfrac{29}{6}}[/tex]
[tex]\mathsf{4\dfrac{1}{3}=\bf \dfrac{13}{3}}[/tex]
[tex]\mathsf{\dfrac{29}{6}-\dfrac{13}{3}}[/tex]
[tex]\mathsf{\dfrac{(29\times3)-(13\times6)}{6\times3}}[/tex]
[tex]\mathsf{29\times3 = \bf 87}\leftarrow \large\textsf{\underline{NUMERATOR}}[/tex]
[tex]\mathsf{13\times6= \bf 78}\leftarrow\large\textsf{\underline{NUMERATOR}}[/tex]
[tex]\mathsf{\dfrac{\bf 87-78}{6\times3}}[/tex]
[tex]\mathsf{87-78=\bf 9}\leftarrow\large\textsf{\underline{NUMERATOR}}[/tex]
[tex]\mathsf{\dfrac{\bf 9}{6\times3}}[/tex]
[tex]\mathsf{6\times3 = \bf 18}\leftarrow\large\textsf{\underline{DENOMINATOR}}[/tex]
[tex]\mathsf{\dfrac{9}{\bf 18}}[/tex]
[tex]\mathsf{\dfrac{9\div9}{18\div9}}[/tex]
[tex]\mathsf{9\div9=\bf 1}\leftarrow \large\textsf{NUMERATOR}[/tex]
[tex]\mathsf{\dfrac{\bf 1}{18\div9}}[/tex]
[tex]\mathsf{18\div9= \bf 2}\leftarrow\large\textsf{DENOMINATOR}[/tex]
[tex]\mathsf{ = \dfrac{1}{\bf 2}}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: }\mathsf{\bf \dfrac{1}{2}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Which choice shows 1/4 of 8
Answer:
there is no picture so I dont know what i have to do..
Choose all that correctly solve for the variable x
[tex]\frac{5}{2} x[/tex] = [tex]\frac{15}{2}[/tex]
x = 3
------------------------------------------------------------------------------
x + [tex]\frac{7}{2} = 7\\x
= \frac{7}{2}[/tex]
---------------------------------------------------------------------------------
x + 3 = [tex]\frac{21}{5}\\x
= \frac{5}{6}[/tex]
----------------------------------------------------------------------------
5x = \frac{11}{2}
x = |frac{10}{11}
Solve the equation 3^x+3=5
Simplify the following proper fraction by reducing to lowest terms. 2/18
Answer:1/9
Step-by-step explanation: divide both sides of the fraction by 2
Answer:
1/9
both divide by 2 then 2/2=1 and 18/2=9 so that the answer will be 1/9
You toss a coin 100 times and get only 12 heads. Do you have reason to suspect the coin is unfair
Answer:
No
Step-by-step explanation:
The coin has 2 sides. Heads and tales. If you flipped a million heads in a row, on your next flip, there is still a 50 percent chance of flipping tales. Just become the outcome has been favorable to tales doesn't mean the probability changes
Suppose that the space shuttle has three separate computer control systems: the main system and two backup duplicates of it. The first backup would monitor the main system and kick in if the main system failed. Similarly, the second backup would monitor the first. We can assume that a failure of one system is independent of a failure of another system, since the systems are separate. The probability of failure for any one system on any one mission is known to be 0.01.
(a) Find the probability that the shuttle is left with no computer control system on a mission. (Enter your answer to six decimal places.)
(b) How many backup systems does the space shuttle need if the probability that the shuttle is left with no computer control system on a mission must be
1
one hundred thousand
(Enter your answer as a whole number.)
_____ backup systems.
Answer:
a) 0.000001 = 0.0001% probability that the shuttle is left with no computer control system on a mission.
b) 3 backup systems are needed.
Step-by-step explanation:
For each system, there are only two possible outcomes. Either it works, or is does not. Systems are independent. This means that we use the binomial 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.
Three separate computer control systems
This means that [tex]n = 3[/tex]
The probability of failure for any one system on any one mission is known to be 0.01.
So the probability of working is:
[tex]p = 1 - 0.01 = 0.99[/tex]
(a) Find the probability that the shuttle is left with no computer control system on a mission. (Enter your answer to six decimal places.)
This is [tex]P(X = 0)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.99)^{0}.(0.01)^{3} = 0.000001[/tex]
0.000001 = 0.0001% probability that the shuttle is left with no computer control system on a mission.
(b) How many backup systems does the space shuttle need if the probability that the shuttle is left with no computer control system on a mission must be 1 over one hundred thousand
This is n for which:
[tex]P(X = 0) < \frac{1}{100000} = 0.00001[/tex]
With 2 backup systems, the probability is lower than this, so lets see if with only two is possible.
We find [tex]P(X = 0)[/tex] when [tex]n = 2[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{2,0}.(0.99)^{0}.(0.01)^{2} = 0.0001 > 0.00001[/tex]
So 3 backup systems are needed.
Jayden has $10 in a savings account. The interest rate is 5%, compounded annually.
To the nearest cent, how much interest will he earn in 2 years?
$
Submit
Answer:
$1
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
I = 10 × 0.05 × 2 = 1
I = $ 1.00
The simple interest accumulated
on a principal of $ 10.00
at a rate of 5% per year
for 2 years is $ 1.00.
A home has a room with length 22 feet and width 25 ft.
Which dimensions could represent a scale model of the room?
O length = 6.5 in.; width = 7.5 in.
O length
= 11 in.; width = 12.5 in.
O length = 13 in.; width = 14 in.
O length = 17.6 in.; width = 19.5 in.
Answer:
O length = 11 inches width = 12.5 inches
Step-by-step explanation:
HELP PLS THIS IS FOR STATISTICS
Step-by-step explanation:
P(A) = . 6
P(B) = . 3
P(A or B)
= P(A) + P(B)
= . 6 + .3
= . 9
Hope it will help :)❤❤
Which is the solution to the inequality
-4x + 6<2x
Step-by-step explanation:
-4x+6<2x
add 4x to both sides
-4x+4x+6<2x+4x
0+6<6x
divide both sides by 6
6/6<6/6x
1<x
all values for the solution to the inequality are greater than 1
Hope that helps :)
Please give brainliest
the profits from eds plumbing company increased by 14,460, or 30% this year. what profit did the company esrn last year?
The profit of plumbing company from eds earn last year, 48200
What is the percentage?The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.
Formula for percentage;
Percentage = (present quantity/whole quantity)×100
Given that,
The profits from eds plumbing company increased by 14,460, or 30% this year
The profit company earned last year = ?
Suppose, last years profit = X
New profit = X + 0.30X = X + 14460
0.30X = 14460
X = 48200
Hence, the last years profit is 48200
To know more about Percentage check:
https://brainly.com/question/29306119
#SPJ5
Layla misses 5% of the free throws she attempts in a season. How many total free throws did she attempt if she missed 51?
Answer:
49.47
Step-by-step explanation:
Layla missed 5%
so what you do is take the number 51
Then subtract it by 3%
And you get 49.47
So if the value of the solid's surface area is equal to the volume. Find the value of x
The height of the solid is 5in and the width is 6in. X is the value of the length
Answer:The solid surface area is equal to the solid volume. Find the value of x? The measurements of the rectangular prism is 11 inches long and 3 inches wide. Height is not listed.
The height of the solid is 5in and the width is 6in. X is the value of the length
4
Step-by-step explanation:
a rectangle prism has a volume of x^3 + 6x^2 - 7x - 60. If the height of the prism is x + 4, the dimensions of the base are
The length of a rectangle is 20 inches less than twice the width. The perimeter of the rectangle is 86 inches. Find the dimensions of the rectangle.
Answer:
length=22
width=21
Step-by-step explanation:
let, length be x and width be y.
x=2y-20
2(x+y)=86
or, 2(2y-20+y)=86
or, 2(3y-20)=86
or, 6y-40=86
or, 6y= 126
or, y= 126/6
y= 21
x= 2×21-20 = 42-20 =22
Determine whether the two expressions are equivalent.If so,tell that property is applied. (37) and (2.3). 7*
O Yes; Identity Property
O Yes; Associative Property
O Yes; Commutative Property
O Yes; Inverse Property
O Expressions are not equal
Answer:
Yes; Inverse Property...
I hope it helps..
How many solutions does this system have?
X-3y = 4
-2x+6y=3
one
two
an infinite number
no solution
Which quadrilateral can have 2 pairs of parallel sides, all sides
with equal length, and no right angles?
A square
A triangle
A Rhombus
Trapezoic