Answer:
x = 9
Step-by-step explanation:
2x - 1 + 1 = 17 + 1
2x = 18
(2x=18)/2
x = 9
Answer:
2x - 1 = 17
add 1 on each side --> 2x = 18
x = 9 because one divides 2 from each side and results to 9
Step-by-step explanation:
Answer this as soon as possible please!!!!!
(it wont ley me put 2 pictures so the question to this problem is) what is the longest name length? (i mark brainlist) :)
Find the area of following rhombuses. Round your answers to the nearest tenth if necessary.
Answer:
505.4 in²
Step-by-step explanation:
½d2= 19×tan 35° = 19×0.7 = 13.3 in
d2 = 2×13.3 = 26.6 in
d1 = 2×19=38 in
the area of Rhombus =
½×38×26.6 = 505.4 in²
If a normal distribution has a mean of 104 and a standard deviation of 6, what is the z-score for a value of 110?
A. 1.5
B. 2
C. 1
D. 0.5
Answer: 1.5
mean: 104
S.D: 6
110-104/6=1.5
When doing blood testing for a viral infection, the procedure can be made more efficient and less expensive by combining partial samples of different blood specimens. If samples from three people are combined and the mixture tests negative, we know that all three individual samples are negative. Find the probability of a positive result for three samples combined into one mixture, assuming the probability of an individual blood sample testing positive for the virus is 0.06.
Answer:
0.1694 = 16.94% probability of a positive result for three samples combined into one mixture.
Step-by-step explanation:
For each test, there are only two possible outcomes. Either it is positive, or it is negative. The probability of a test being positive or negative is independent of any other test, which means that the binomial probability distribution is used 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.
The probability of an individual blood sample testing positive for the virus is 0.06.
This means that [tex]p = 0.06[/tex]
If samples from three people are combined and the mixture tests negative, we know that all three individual samples are negative. Find the probability of a positive result for three samples combined into one mixture.
It will be positive if at least one of the tests is positive, that is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.06)^{0}.(0.94)^{3} = 0.8306[/tex]
Then
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8306 = 0.1694[/tex]
0.1694 = 16.94% probability of a positive result for three samples combined into one mixture.
Evaluate the expression when a = 7 and c= -4.
-a+5c
pls help
Answer:
-27
Step-by-step explanation:
a = 7 and c = -4
- a + 5 c
- ( 7 ) + 5 ( - 4 )
- 7 - 20
- 27
If i left Raleigh at 9:30 am and drove and drove 6 1/2 hours what time would it be
Answer: 4:00 pm
Step-by-step explanation:
What is the measure of n?
Answer:
n = √108 or 6√3
Step-by-step explanation:
n is the altitude of the right triangle
Based on the right triangle altitude theorem, we would have:
h = √(xy)
Where,
h = n
x = 18
y = 6
Substitute
n = √(18*6)
n = √108
Or
n = 6√3
a fuel mixture consists of 3 parts oil and 11 parts gasoline. the oil costs $0.75 per liter, and the gasoline costs $1.60 per liter. a mechanic makes 392 liters of the mixture. how much should he charge for 15% profit
Answer:
Total selling price= $663.82
Selling price per liter= $1.69
Step-by-step explanation:
Giving the following information:
Proportion of oil and gasoline:
Oil= 3/14= 0.21
Gasoline= 11/14= 0.79
The oil costs $0.75 per liter.
The gasoline costs $1.60 per liter.
First, we need to calculate the number of liters of oil and gasoline required:
Oil= 0.21*392= 82.32 liters
Gasoline= 0.79*392= 309.68
Now, the total cost to produce 392 liters:
Total cost= 82.32*0.75 + 309.68*1.6
Total cost= $577.23
Finally, the total and unitary selling price:
Total selling price= 577.23*1.15= $663.82
Selling price per liter= 663.82 / 392= $1.69
Please help!!!! Anyone!!
9514 1404 393
Answer:
g(x) = |x -7|
Step-by-step explanation:
The form given for your answer has parameters 'a', 'h', and 'k'. The parameter 'a' is the vertical scale factor. Since g(x) is a translation only, that factor is 1. The parameters (h, k) identify the translation (right, up). The translation is 7 units right and 0 units up, so (h, k) = (7, 0).
Filling in these values of the parameters, your g(x) is ...
g(x) = |x -7|
What is the value of
[tex] \frac{ - 2(7 - 15)}{4} [/tex]
○-4
○-2
○2
○4
Answer:
4
Step-by-step explanation:
Based on your math expression:
7-15 = -8
-2*(-8) = 16
16 / 4 = 4
Answer:
4
Step-by-step explanation:
-2(7-15)
=-14+30
=16÷4
=4
A man bought a car for $8200 and sold it for 80% of the price two years later. How much did he lose?
Answer:
I don't know for sure, but I'm pretty sure its 1,640.
Step-by-step explanation:
80% of 8,200 is 6560, and then do 8,200- 6,560, you get 1,640.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
According to question, The price at which it was sold is equal to :
[tex]80 \% \: \: of \: \: 8200[/tex][tex] \dfrac{80}{100} \times 8200[/tex][tex]80 \times 82[/tex][tex]6560[/tex]The car was sold at $ 6560
Now, loss is equal to :
[tex]8200 - 6560[/tex][tex] \$ \: 1640[/tex] Only answer if you're very good at Math.
What is the sum of 7x/x^2 - 4 and 2/x + 2?
A: 7x + 2/x^2 - 4
B: 9x - 4/x^2 - 4
C: 7x + 2/ x^2 + x - 2
D: 9/x
Answer:
Solution given:
B: 9x - 4/x^2 - 4
Step-by-step explanation:
.k
What is the median of 6, 7, 3, 15, 4, 4.
Answer:
5
Step-by-step explanation:
The median is the middle when the numbers are lined up from smallest to largest
3,4,4,6,7,15
There are 6 number so the middle is the between the 3rd and 4th number
3,4,4, 6,7,15
Take the 3rd and 4th numbers and average
(4+6)/2 = 10/2 = 5
Answer:
median = 5
Step-by-step explanation:
Arrange the data in ascending order :
3 , 4 , 4 , 6 , 7 , 15
Choose the middle number.
Here there are even number of data. Take the average of the middle
numbers .
4 and 6 are the middle number. average of 4 and 6 = ( 4 + 6 ) /2 = 5
Therefore , median = 5
Find the volume of the sphere. Round your answer to the nearest tenth.
Answer:
B..................................
Answer:
below
Step-by-step explanation:
v of sphere
v = 4/3 πr³
v= 4/3 *3.142*10³
v = 4188.8cm³
..... B is correct
what would be the integer for this problem
???+-8=-2
Answer:10
Step-by-step explanation:
10 because 10 minus 8 would be 2
Which values are solutions to the inequality below? Check all that apply.
x < 64
O A. 9
11
B. 66
C. 64
D. 6
E. 8
F. no solutions
What value of x will make the triangle congruent
Answer:
x = 3/5 = 0.6
Step-by-step explanation:
By the ASA Triangle Congruence Theorem, the two given triangles are congruent (vertical angles are congruent). Because we know that corresponding parts of congruent triangles are congruent, we can write the following equation: 7x - 3 = 2x. Now we can solve:
7x - 3 = 2x
-3 = -5x
3/5 = x
What is the solution of the equation x² = 64?
4
+4
18
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: x = ±8}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
➺ [tex] {x}^{2} = 64[/tex]
➺ [tex] \: x = \sqrt{64} [/tex]
➺ [tex] \: x = \sqrt{8 \times 8} [/tex]
➺ [tex] \: x = \sqrt{ ({8})^{2} } [/tex]
➺ [tex] \: x = ±8[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
x over 3 add 5 = 5
Pls help someone
Answer:
x=0
Step-by-step explanation:
0/3 = 0
0+5=5
What is the value of the expression below? (27^7/3)^1/7
Answer:
3486784401/7
Step-by-step explanation:
In some country the budget for defense exceeded the budget for education by $629.1 billion. If x represents the budget for education, in billions of dollars, how can the budget for defense
be represented?
If x represents the budget for education, in billions of dollars, the budget for defense can be represented by
Answer:
y = defence
Step-by-step explanation:
x^2 + ( 47y (7 + 6) + 18.1) is a starter point
x^2 + (47y (7+6) + 3(6+ 1/30))
x^2 + (611y + 3(6+1/30))
x^2 + (611y + 18.1)
x^2 + 629.1y
With x representing x billion and y representing y billion for defence
The budget for defense can be represented by the algebraic expression $ (x + 629.1) billion.
What is algebraic expression?An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations.
Let x represents the budget for education.
Given that the budget for defense exceeded the budget for education by $629.1 billion.
The budget for defense can be represented by (x + 629.1).
Learn more about algebraic expression here
https://brainly.com/question/953809
#SPJ2
Question 3
Simplify
4x² × 2x³
Step-by-step explanation:
[tex]4 {x}^{2} \times 2 {x}^{3} = 8 {x}^{5} [/tex]
Answer:
Step-by-step explanation:
4x^2 * 2x^3
(2)^2 *x^2 *2*x^3
(2)^2+1 *x^2+3
(2)^3 *x^5
8*x^5
8x^5
another method
4*x^2*2*x^3
multiply 4 and 2
8*x^2+3
8x^5
in multiplication if the bases are same we add their power(exponent).In division if the bases are same we subtract their power(exponent).
i need help. Also need the answer in step by step form
Answer: GIVEN : f(x)= -3x+1
f(x)= -5
REQUIRE: x=?
CALCULATION:
f(x)= -3x+1
As, given f(x)= -5.
Hence,
-5= -3x+1
OR
-3x+1= -5
-3x= -5-1
-3x=-6
x= -6/-3
x= 2
help pls ? heusnwkq bsjnsjjw
Carrie walked 6 miles per day. Which table represents y, the number of miles Carrie walked in x days.
D. Says 1. 18
2. 36
3. 54
4. 72
Answer:
C
Step-by-step explanation:
Since Carrie walked 6 miles her day, the function that best suits this relationship is given by [tex]y=6x[/tex] where [tex]x[/tex] is the number of days she walked and [tex]y[/tex] is the number of miles.
Table C represents this function [tex]y=6x[/tex] because all y values are exactly 6 times the x value.
Answer:
The answer is C.
Step-by-step explanation:
18 ÷ 3 = 6 miles a day
36÷6 = 6 miles a day
54÷9 = 6 miles a day
72÷12 = 6 miles a day
20 5 4 2 X 2.5 12 1.5 3
Answer:
x = 10
Step-by-step explanation:
if two prisms are similar then the side lengths are proportional
2/4 = x/20 cross multiply expressions
40 = 4x divide both sides by 4
10 = x
Find the volume of each shape. Round your answer to two decimal places.with clear explanation.
Answer:
Volume = 111.33 in.³
Step-by-step explanation:
The volume of the shape = volume of the rectangular prism part + volume of the triangular prism part
✔️volume of the rectangular prism part:
V = L*W*H
Where,
L = 5.1 in.
W = 3.4 in.
H = 5.9 in.
V = 5.1*3.4*5.9
V = 102.306 in.³
✔️volume of the triangular prism part:
V = ½*b*h*l
b = 6 - 5.1 = 0.9 in.
h = 5.9 in.
l = 3.4 in.
V = ½*0.9*5.9*3.4
V = 9.027 in.³
✅Volume of the shape = 102.306 + 9.027
= 111.333 in.³
≈ 111.33 in.³ (approximated to 2 decimal places)
PLS HELP ASAP !!!! PLS !! will mark whoever gets it right as brainliest !
Answer:
128° because its vertical with ∠1
I think, but I'm not sure.
What is the answer? The question is on the picture
9514 1404 393
Answer:
D. 32 square units
Step-by-step explanation:
At 40% scale, the length is ...
(20 units)×40% = 8 units
and the width is ...
(10 units)×40% = 4 units
The area is the product of length and width, so is ...
A = (8 units)(4 units) = 32 square units
