Answer: x=2 Please mark as brainliest
Step-by-step explanation: 16+7+4x=x+3x+7
combine like terms: 23+4x=4x+7
get x to one side: 23=8x+7
subtract: 16=8x
divide: x=2
Use substitution to solve the following systems of equations:
-3x -4y = 2
5x + 5y = -5
O (4,3)
O (-3, 2)
O (3, 2)
O (-2, 1)
URGENT!!! I WILL GIVE BRAINLIEST!
Xavier is attempting to recreate a problem his teacher showed him in class. To do so, he creates the table below.
x y
1 3
2 ?
He remembers that the slope of the line through the ordered pairs in the table was 4. What is the missing y-value in the table?
A. 5
B.7
C.8
D.12
Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 65% chance that she will fail the course if she does not have a tutor. With a tutor, her probability of failing decreases to 35%. There is only a 75% chance that she will find a tutor at such short notice. a. What is the probability that Christine fails the course? (Round your answer to 4 decimal places.)
Answer:
0.49
Step-by-step explanation:
We apply conditional probability to solve this question.
We have Events X and Events Y
P(X) = Probability Christine fails the course = ??? Unknown
P(Y) = Probability Christine finds a tutor
= 0.35
P(Y') = Probability Christine does not find a tutor = 1 - 0.35 = 0.75
P(X|Y) = Decrease in her probability of failing = 0.35
P(X|Y') = Probability that she will fail the course if she does not have a tutor
P(X) = P(X|Y) × P(Y) + P(X|Y') × P(Y')
P(X) = 0.35 × 0.75 + 0.65 × 0.35
P(X) = 0.2625 + 0.2275
P(X) = 0.49
The probability that Christine fails the course is 0.49
A simple random sample of 100 men is chosen form a population with mean height 71 in and standard deviation 2.5 in. What is the probability that the average height of the men in the sample is less than 70.5in?
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]
How to solve this without calculator?
sin-1(2/3)
Answer:-0.560
Step-by-step explanation:
5 divided 5/6 helpabacon hair please
Answer:
what? expalint the question
Step-by-step explanation:
A rectangular piece of land has an area of 3/4 square mile.The land is 2 1/2 miles long what is its width
Answer:
width = 3/10 mi
Step-by-step explanation:
area = length * width
width = area/length
width = (3/4 mi^2)/(2 1/2 mi)
width = (3/4 mi^2)/(5/2 mi)
width = 3/4 * 2/5 mi
width = 6/20 mi
width = 3/10 mi
18 feet above ground level and 7 feet below ground level
Answer:
11
Step-by-step explanation:
Paul and Seth know that one point on the line
Answer:
what
Step-by-step explanation:
A gym charges $8.75 for each swimming class and a one time registration fee of $12.50. A student paid a total of $56.25. Write and solve an equation to find the number of swimming classes the student took.
Answer:
12.50 + 8.75x = 56.25
12.50 + 8.75 (5) = 56.23
12.50 + 43.75 = 56.23
Step-by-step explanation:
The width of a rectangle measures (5.5d+9.7f)(5.5d+9.7f) centimeters, and its length measures (5.1d-3.5f)(5.1d−3.5f) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
Answer:
21.2d + 12.4f
Step-by-step explanation:
Given that:
Width of rectangle = (5.5d+9.7f) centimeters
Length of rectangle = (5.1d-3.5f) centimeters
Perimeter of a rectangle : 2 (length + Width)
2 [(5.1d-3.5f) + (5.5d+9.7f)]
2[5.1d - 3.5f + 5.5d + 9.7f]
2[10.6d + 6.2f]
= 21.2d + 12.4f
Hence, the perimeter is :
21.2d + 12.4f)
Julie earned $130 one week and $125.50 the next week. After depositing these amounts in her account, she had a total of $335.
How much was already in her account before she deposited the $130 and $125.50?
Answer:
she had more than me
Step-by-step explanation:
Answer: $79.50
Step-by-step explanation:
Add together $130 and $125.50 to find out how much she deposited.
$130+125.50=$255.50
Now subtract the amount that was deposited from the total amount in her account.
$335−$255.50=$79.50
You decide to build a rectangular garden in your backyard. You've designated an area of 180m^2 for your garden. Due to the configuration of your backyard, the width of the garden must be 8 meters less than the length.
Answer:
[tex]Length = 18m[/tex]
[tex]Width = 10m[/tex]
Step-by-step explanation:
Given
[tex]Area = 180m^2[/tex]
[tex]Width = Length - 8[/tex]
Required
Determine the Length and the Width
Represent Width with W and Length with L;
So, we have:
[tex]Area = L * W[/tex]
[tex]Area = L * (L - 8)[/tex]
[tex]180 = L * (L - 8)[/tex]
[tex]180 = L^2 - 8L[/tex]
[tex]L^2 - 8L - 180 = 0[/tex]
Expand
[tex]L^2 - 18L + 10L- 180 = 0[/tex]
[tex]L(L - 18) + 10(L- 18) = 0[/tex]
[tex](L + 10)(L- 18) = 0[/tex]
Split
[tex]L + 10 =0[/tex] or [tex]L - 18 = 0[/tex]
[tex]L = -10[/tex] or [tex]L = 18[/tex]
But length cant be negative:
So,
[tex]L = 18[/tex]
Recall that:
[tex]Width = Length - 8[/tex]
[tex]W = 18 - 8[/tex]
[tex]W = 10[/tex]
Hence:
[tex]Length = 18m[/tex]
[tex]Width = 10m[/tex]
The dimension of the rectangular garden is 8m by 10m
The formula for calculating the area of the rectangular garden is expressed as;
A = lw
l is the length
w is the width
If the width of the garden must be 8 meters less than the length, then;
w = l - 8
Substitute into the formula;
180 = l(l-8)
180 =l^2 - 8l
l^2-8l - 180 = 0
Factorize the result;
l(l+10)-8(l+10) = 0
(l-8)(l+10)=0
l = 8 and -10
Since A = lw
w = A/l
w = 180/8
w = 10
Hence the dimension of the rectangular garden is 8m by 10m
Learn more on area of the rectangle here:https://brainly.com/question/17416965
A number decreased by twelve is forty-five.
helpp.
Answer:
57
Step-by-step explanation:
57-12=45. Simple subtraction/addition
Solve for x.
- 4.5 = - 0.5 ( x - 7.1 )
Answer:
x= 16.1
Step-by-step explanation:
Answer:
Step-by-step explanation:
x=16.1
given 0.731
enter an equivalent fraction in the thousands
and
enter an equivalent percentage
Which translation is used to map triangle ABd onto triangle IGH?
Answer:
Six units to the right. Answer C
Step-by-step explanation:
The image is IGH, which is the triangle ABD shifted to the right 6 units
Points B and B' have symmetry with respect to P. Find the coordinates of P when B is (2, 8) and B' is (2, 2). A. (2, 5) B. (0, 5) C. (5, 2)
Answer:
A. (2, 5)
Step-by-step explanation:
If B and B' have symmetry, then P is a midpoint between those points. We can determinate the location of point P by using the midpoint equation, whose vectorial form is:
[tex]P(x,y) = \frac{1}{2}\cdot B(x,y)+\frac{1}{2}\cdot B'(x,y)[/tex] (Eq. 1)
If we know that [tex]B(x,y) = (2,8)[/tex] and [tex]B'(x,y) = (2,2)[/tex], then the location of P is:
[tex]P(x,y) = \frac{1}{2}\cdot (2,8)+\frac{1}{2}\cdot (2,2)[/tex]
[tex]P(x,y) = (1, 4)+(1,1)[/tex]
[tex]P(x,y) = (2, 5)[/tex]
Which corresponds to option A.
A pet store has 6 cats. Here are their weights (in pounds).
6, 13, 9, 14, 5, 7
Find the mean weight of these cats.
If necessary, round your answer to the nearest tenth
Answer:
9
Step-by-step explanation:
6+13+9+14+5+7=54
54/6= 9
Answer:
the mean is 9
Step-by-step explanation:
add 6+13+9+14+5+7=54
and 54 divided by 4 equals=9
How to find a mean in any question
Count the number N of data points in your data set.
Sum up all of the data points in your data set (add them all together).
After adding them divided the sum added by the number of numbers
EX1:1,2,43,5,6-there are 5 numbers so you divided 5 by the sum
Determine the number of real solutions each quadratic equation has.
y = 12x2 - 9x + 4
Answer:
it has 0 real solutions
Step-by-step explanation:
Answer:
y = 12x2 - 9x + 4
✔ no real solution(s)
10x + y = -x2 + 2
✔ two real solution(s)
4y - 7 = 5x2 - x + 2 + 3y
✔ no real solution(s)
y = (-x + 4)2
✔ one real solution(s)
Protozoa are single-celled organisms. Paramecium aurelia is one type of protozoan. The number of paramecium aurelia doubles every 1.25 days. There was one protozoan on a slide 5 days ago. How many are there now?
Answer:
16 days
Step-by-step explanation:
Given that:
Number of paramecium Aurelia doubles every 1.25days
5 days ago ; number of paramecium Aurelia = 1
How many are there now?
Using the relation :
Multiplier^(total number of days / time it takes to multiply)
Multiplier = doubles = 2
Total number rof days =. 5
Time it takes to. Multiply = 1.25
The formula becomes :
Number(n) of ptotozoan in 5days is given by 2^(5/1.25)
n = 2^(5/1.25)
n = 2^4
n = 2 * 2 * 2 * 2 =. 16
How many four-digit whole numbers contain the digit pair "17" without other intervening digits? (Note that 2017 is one such example but 2107 is not.)
Answer:
There are 209 4-digit nu numbers with 17 as consecutive digits
Step-by-step explanation:
17xx xx represent 00 through 99, a set of {100} members.
y17z. y can be 1 through 9 {9}. z can be 0 thru 9 {10}
ww17 which includes 10 thru 99, a set of {90}
Add 100+90+10+9 to get 209 possible combinations.
Factor tree for 14 i reeaallyy
Answer:
I need points lol well I kinda have no idea what ur taking abt
Answer:
the calculator i used was called calculator soup this is a website all u gotta do is search up factor calculator and it will pop up this website always helps if u want u can search up what u calculator u want at the top where it says search
Would 3.99. million flies or 47,000,000 ants have a greater mass
Ants
Step-by-step explanation:
Order of Operations:
List the order of operations.
1. Simplify expressions
2. Simplify exponential
3. Perform multiplication
4. Perform addition and subtraction
Simplify the following expression (one step at a time)..
-16 8 x 2^3
Answer:
-16 8 x 2^3
Step-by-step explanation:
-16 8 x 8
-16 x 8 x 8
-128 x 8
-1024
can somebody please help me with this quesiotion
Answer:
-3
Step-by-step explanation:
sense its between -2 and -4
*question
The area of a triangle is 120-meter square, if the height is equal 10 meter, what is the value of the base?
Answer:
24 meters
Step-by-step explanation:
The equation for the area of a triangle is A=1/2BxH where B is the base and H is the height. You are given the area and the height so you need to plug those values into the equation and solve.
120=1/2Bx10
240=Bx10
24=B
Taino went to a professional basketball game. He spent $54.85 for a ticket, $4.99 for a hot dog, and $2.15 for a soda. What is the total amount that he spent? Use mental math to find the sum. O A. $60.99 O B. $61.00 O C. $61.99 O D. $62.00
Answer:
$61.99
Step-by-step explanation:
Based on everything that Taino bought his total amount would be $61.99 . Mental math would mean that no work is shown but for the sake of explanation, I can try to show how to derive the value from the answer choices given quickly. First, we see that the cents in each purchase do not equal a round dollar value when added so the answer must be either A or C. Secondly we add the dollar values and see that it surpasses the round value of 60 making the answer C.
Benjamin owns a small Internet business. Besides himself, he employs nine other people. The salaries earned by the employees are given next in thousands of dollars (Benjamin's salary is the largest, of course): 30, 30, 45, 50, 50, 50, 55, 55, 60, 75.
Required:
a. Determine the mean, median, and mode for salary.
b. Business has been good! As a result. Benjamin has a total of $25.000 in bonus pay to distribute to his employees. One option for distributing bonuses is to give each employee (including himself) $2500. Add the bonuses under this plan to the original salaries to create a new data set. Recalculate the mean, median, and mode. How do they compare to the originals?
c. As a second option. Benjamin can give each employee a bonus of 5% of his or her original salary. Add the bonuses under this second plan to the original salaries to create a new data set. Recalculate the mean, median, and mode. How do they compare to the originals?
d. As a third option, Benjamin decides not to give his employees a bonus at all. Instead, he keeps the $25,000 for himself. Use this plan to create a new data set. Recalculate the mean, median, and mode. How do they compare to the originals?
Answer:
a) mean μ = 50 median M = 50 mode Md = 50
b) mean μ₂ = 52,5 median M = 52,5 mode Md = 52,5 all vales increased in 2,5 ( thousands of $) the same quantity of individuals incements
c) mean μ₃ = 52,50 median M = 52,5 mode Md = 52,5 The same values obtain in b)
d) mean μ₃ = 52,50 median M = 50 and Mode 50
Step-by-step explanation:
a) Mean μ is the average then:
30 30 45 50 50 50 55 55 60 75
μ = 50
The median M, is the central (fifth value) 50
And the mode
Md = 50
b) Adding 2,5 ( in thousands of $) to each one of the employees
32,5 32,5 47,5 52,5 52,5 52,5 57,5 57,5 62,5 77,5
The mean μ₂ = 52,5 $, since the average value has to be increased by the common increased number
The median M = 52,5 and also the mode Md = 52,5
c) 31,5 31,5 47,25 52,5 52,5 52,5 57,75 57,75 63 78,75
The mean μ₃ = 52,50
The median M = 52,50
The Mode Md = 52,50
d) 30 30 45 50 50 50 55 55 60 100
μ₄ = 52,5
Median M = 50
Mode Md = 50
Find the unknown angle measure.
Answer:
x=80
Step-by-step explanation:
The sum of interior angles in a quadrilateral is 360°
the square represents a right angle= 90 degrees
124+66+90=280
360-280=80
x=80
