Answer:
The correct value of x will be "[tex]-\frac{19}{16}[/tex]". The further explanation is given below.
Step-by-step explanation:
The given equation is:
⇒ [tex]7x + 21 + 9x = 2[/tex]
⇒ [tex]16x+21=2[/tex]
On subtracting "21" from both sides, we get
⇒ [tex]16x+21-21=2-21[/tex]
⇒ [tex]16x=-19[/tex]
⇒ [tex]x=-\frac{19}{16}[/tex]
What is the scale factor in the following algebraic representation of a dilation: (x,y) to (5x, 5y)
PLEASE HELP
Answer:
It would be dialating by a scale factor of 5 you can tell because you are multipllying (x,y) by 5
Gwen makes 30 cookies in 34 hour. At this rate, how many cookies could Gwen make in 3 hours?
Answer:
Step-by-step explanation:
30/34 is .8823 or .88 of a cookie
in 3 hours, she can make 2.647 or 2.7 of a cookie
The required number of cookies made in 3 hours is 2.64.
What is Unitary method ?In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.
Given that,
The number of cookies made in 34 hour is 30.
Now, in order to calculate the number of cookies made in 3 hours unitary method can be used as follows,
In 34 hour the number of cookies = 30
In 1 hour the number of cookies = 30/34
Thus, in 3 hour the number of cookies = 30/34 × 3 = 2.64.
Hence, the number of cookies made with the given rate in 3 hours is 2.64.
To know more about unitary method click on,
https://brainly.com/question/28276953
#SPJ2
What is the product?
(3a2b7)(5a3b8)
O 8a5b15
O 8a6b56
O 15a5b15
O 15a5b56
Option C is correct, 15a⁵b¹⁵ is the product of expression (3a²b⁷)(5a³b⁸)
We have to find the product of (3a²b⁷)(5a³b⁸)
a and b are the variables in the expression.
We have to find the product.
Let us first multiply the constant terms which are 3 and 5 we get 15
15 (a²b⁷)(a³b⁸)
We know that in a product if the bases are same then the powers will be added
15a⁵b¹⁵
Hence, option C is correct, 15a⁵b¹⁵ is the product of expression (3a²b⁷)(5a³b⁸)
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ7
The probability density function of the time to failure of an electronic component in a copier (in hours) is f(x) for Determine the probability that
a. A component lasts more than 3000 hours before failure.
b. A component fails in the interval from 1000 to 2000 hours.
c. A component fails before 1000 hours.
d. Determine the number of hours at which 10% of all components have failed.
The question is incomplete. Here is the complete question.
The probability density function of the time to failure of an electronic component in a copier (in hours) is
[tex]f(x)=\frac{e^{\frac{-x}{1000} }}{1000}[/tex]
for x > 0. Determine the probability that
a. A component lasts more than 3000 hours before failure.
b. A componenet fails in the interval from 1000 to 2000 hours.
c. A component fails before 1000 hours.
d. Determine the number of hours at which 10% of all components have failed.
Answer: a. P(x>3000) = 0.5
b. P(1000<x<2000) = 0.2325
c. P(x<1000) = 0.6321
d. 105.4 hours
Step-by-step explanation: Probability Density Function is a function defining the probability of an outcome for a discrete random variable and is mathematically defined as the derivative of the distribution function.
So, probability function is given by:
P(a<x<b) = [tex]\int\limits^b_a {P(x)} \, dx[/tex]
Then, for the electronic component, probability will be:
P(a<x<b) = [tex]\int\limits^b_a {\frac{e^{\frac{-x}{1000} }}{1000} } \, dx[/tex]
P(a<x<b) = [tex]\frac{1000}{1000}.e^{\frac{-x}{1000} }[/tex]
P(a<x<b) = [tex]e^{\frac{-b}{1000} }-e^\frac{-a}{1000}[/tex]
a. For a component to last more than 3000 hours:
P(3000<x<∞) = [tex]e^{\frac{-3000}{1000} }-e^\frac{-a}{1000}[/tex]
Exponential equation to the infinity tends to zero, so:
P(3000<x<∞) = [tex]e^{-3}[/tex]
P(3000<x<∞) = 0.05
There is a probability of 5% of a component to last more than 3000 hours.
b. Probability between 1000 and 2000 hours:
P(1000<x<2000) = [tex]e^{\frac{-2000}{1000} }-e^\frac{-1000}{1000}[/tex]
P(1000<x<2000) = [tex]e^{-2}-e^{-1}[/tex]
P(1000<x<2000) = 0.2325
There is a probability of 23.25% of failure in that interval.
c. Probability of failing between 0 and 1000 hours:
P(0<x<1000) = [tex]e^{\frac{-1000}{1000} }-e^\frac{-0}{1000}[/tex]
P(0<x<1000) = [tex]e^{-1}-1[/tex]
P(0<x<1000) = 0.6321
There is a probability of 63.21% of failing before 1000 hours.
d. P(x) = [tex]e^{\frac{-b}{1000} }-e^\frac{-a}{1000}[/tex]
0.1 = [tex]1-e^\frac{-x}{1000}[/tex]
[tex]-e^{\frac{-x}{1000} }=-0.9[/tex]
[tex]{\frac{-x}{1000} }=ln0.9[/tex]
-x = -1000.ln(0.9)
x = 105.4
10% of the components will have failed at 105.4 hours.
HELP I WILL GIVE EXTRA POINTS AND BRAINLIEST!
Divide the number 90 into three parts in the ratio 1:4:5.
Answer:
9:36:45
Step-by-step explanation:
You add up 1+4+5=10
divide 90 by 10 = 9
multiply each part of the ratio by 9
1*9:4*9:5*9
Therefor you get the answer: 9:36:45
Hope this helps
The division of the number 90 in the ratio 1:4:5 will be 9:36:45.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given that the number 90 is divided in the ratio 1:4:5. The division will be done as below,
x + 4x + 5x = 90
10x = 90
x = 90 / 10
x = 9
The ratio will be,
1:4:5 = 9 : ( 9 x 4 ) : ( 9 x 5 )
1:4:5 = 9: 36: 45
To know more about ratios and proportions follow
https://brainly.com/question/2914376
#SPJ2
9) What is the sum and difference of the given functions?
f(x) = 3x2 + 2x
g(x)=-x?+ 4x
wer
tions
f + g = ?
f-g=?
Split
creen
A. $ +g =2x² + 6x
f-g=4x2 – 2x
B. f + g = 2x+6
s-g=4x2 - 2x
C. $+ g = 2x2 + 6
s-g= 4x-2
Split
Screen
A) Choice A
B) Choice B
C) Choice C
Unit
Save
Answer:
A
Step-by-step explanation:
if f(x)=3x^2+2x g(x)=‒x^2+4x
f+g=(3x^2+2x)+(‒x^2+4x)
=3x^2‒x^2+4x+2x
=2x^2+6x
f‒g=(3x^2+2x)‒(‒x^2+4x)
=3x^2+2x+x^2‒4x
=3x^2+x^2+2x‒4x
=4x^2‒2x
i hope my answer will be clear to you
4x2 - 4x-8/2x +2
i just need someone to explain how to simplify it so i can graph it
Answer:
10-4x
Step-by-step explanation:
4×2-4x+2
8-4x+2 =10-4x
please help this is timed
solve for m
Answer:
you need to put numbers
Alessandra designed an experiment where subjects tasted water from four different cups and attempted to identify which cup contained bottled water. Each subject was given three cups that contained regular tap water and one cup that contained bottled water (the order was randomized). She wanted to test if the subjects could do better than simply guessing when identifying the bottled water.Her hypotheses were H0: p=0.25H vs.H a :p>0.25H,(where ppp is the true likelihood of these subjects identifying the bottled water).The experiment showed that 20 of the 60 subjects correctly identified the bottle water. Alessandra calculated that the statistic p=20, divided by, 60, 0.3 had an associated P-value of approximately 0.0680.What conclusion should be made using a significance level of α=0.05?A) Fail to reject H0B) Reject H0, and accept HaC) Accept H0
Answer:
3434
Step-by-step explanation:
The conclusion that should be made on the question using a significance level of α=0.05 is; Option A; Fail to reject H₀
We are given the hypotheses;
Null Hypothesis; H₀; p = 0.25
Alternative hypothesis; Hₐ; p > 0.25
p^ = 0.3
p-value = 0.068
Now, we are told that the significance level is α = 0.05
Now, the law in hypotheses testing is that when the p-value is less tan or equal to the significance level, we will reject the null hypothesis but when the p-value is greater than the significance value, we fail to reject the null hypothesis(H₀)
Now, in our question the p-value of 0.068 is greater than the significance level of 0.05 and thus we will fail to reject the null hypothesis.
Read more at; https://brainly.com/question/17128186
You buy a 625.5 ML of container of dish soap you already have 142.71 ML at home how many ML how many ML do you have in total
Answer:
768.21 ML
Step-by-step explanation:
Jill and Erika made 4 gallons of lemonade for their lemonade stand. How many quarts did they make?
A .1 quart
B .16 quarts
C .20 quarts
D .5 quarts
Work Shown:
1 gallon = 4 quarts .... think 4 quarters in a dollar
4*(1 gallon) = 4*(4 quarts) ... multiply both sides by 4
4 gallons = 16 quarts
$98 is deposited into a checking account
Answer:
what's the rest of the problem?
Given quadrilateral DEFG is an isosceles trapezoid. Find DE.
A-10
B-3
C-12
D-11
The measure of DE is 10 from the given figure
Since the given trapezoid is an isosceles trapezoid, this shows that two of the sides will be equal. According to the given diagram, we can say that:
DG = EFGiven the following parameters
DG = 2x + 5
EF = 3x + 2
2x + 5 = 3x + 2
Collect the like terms
2x - 3x = 2 - 5
-x = -3
x = 3
Get the measure of DE
DE = 4x - 2
DE = 4(3) - 2
DE = 12 - 2
DE = 10
Hence the measure of DE is 10 from the given figure
Learn more here: https://brainly.com/question/4046380
Which equation describes the line whose x-intercept is (4,0) and whose y-intercept is (0,-3)?
Answer:
[tex]y = \frac{3}{4}x - 3[/tex]
Step-by-step explanation:
In slope intercept form y = mx + b
We have the y intercept already so our equation becomes y = mx -3. Now we need to figure out the slope, we do this by subtracting the y values from both points and the x values from both points:
-3 - 0 = -3
0 - 4 = -4
Slope = -3/-4 the negatives cancel and now we have 3/4 as the slope.
Now the equation is y = 3/4x -3
[tex] y \: = \: \frac{3}{4} x \: - 3[/tex]
Double checking by inputting values such as x = 0 we now get (0, -3) which is correct and if the x-intercept is 4 then it should give us a y value of 0 which = (4,0). Yep! This is the correct linear equation for the line described
For question 5 plz :)
Answer: b
Step-by-step explanation: i took the quiz
11x9/10 simplest form hellppp
Answer:
9.9 or 9 9/10
Step-by-step explanation:
9x11=99
99/10 = 9.9 or 9 9/10
Evaluate whether each value makes a true or false statement.
6. 16 < b + 8. if b = 22
O True
O False
Answer:
True
16 < 22 + 8
16 < 30
Step-by-step explanation:
add 8
Bob loves M&Ms and nerds he was told he can by no more than 7 packs of candy which and inequality and illustrates this situation?
Answer:
A
Step-by-step explanation: They can't be greater so automatically it's less than 7 or equal too
Find the slope of the line above
Answer:
3/5
Step-by-step explanation:
Pick two points that are easy to read. pints that are easy to read are on the intersection of grid lines.
For example, pick (-2, 0) and (3, 3).
slope = rise/run
Rise is a vertical distance.
Run is a horizontal distance.
Start at (-2, 0). To go to (3, 3) by using only horizontal and vertical segments, go up 3 unit. Now go right 5 units.
The rise is 3. The runs is 5.
slope = rise/run = 3/5
Answer: 3/5
For 10 values denoted x, it is given that the mean equals7.4.
Find the sum of all values
Answer:
let's see what to do buddy....
Step-by-step explanation:
The mean of the 10 values denoted x equals 7.4
So we have :
[tex] \frac{x(1) + x(2) + x(3) + ... + x(10)}{10} = 7.4 \\ [/tex]
Multiply the sides of the equation by 10 :
[tex]10 \times \frac{x(1) + x(2) + x(3) + ... + x(10)}{10} = 7.4 \times 10 \\ [/tex]
After do that we have :
[tex]x(1) + x(2) + x(3) + ... + x(10) = 74 \\ [/tex]
Which means we have the sum of all values.
And we're done...
Thanks for watching.
Hope to be useful ♥️♥️♥️♥️♥️.
Graph y = 2x and identify the x-intercept
Answer:
0
Step-by-step explanation:
a playground is rectangular with a length of 1/2 mi if the area of the playground is 5/8 square miles what is its width and put your answer as a fraction
Answer:
b = 5/4 miles
Step-by-step explanation:
Length of a rectangular playground, l = 1/2 miles
Area of the playground, A = 5/8 square miles
We need to find the width of the playground. We know that, the area of a rectangular shape is given by :
A = l×b, here b is the width of the playground.
[tex]b=\dfrac{A}{l}\\\\b=\dfrac{\dfrac{5}{8}}{\dfrac{1}{2}}\\\\b=\dfrac{5}{4}\ \text{miles}[/tex]
So, the width of the playground is 5/4 miles.
Mr. Keown has a penny design that is
modeled by the equation y=7x+2 where y is
the total number of pennies in the design
and x is the stage. How many pennies will
be in stage 7?
Answer: 51
Step-by-step explanation:
Step 1: Replace x in y = 7x + 2 where x = 7.
y = 7(7) + 2.
Step 2: Solve the equation.
y = 49 + 2
y = 51
25 POINTS! Please answer quick!
Answer:
a. 4.35 x 10-⁴
= 0.000435
b. 4.16 x 10¹
= 41.6
c. 9.2 x 10-³
= 0.0092
d. 1.1 x 10-⁵
= 0.000011
e. 6.5 x 10⁵
= 650000
Step-by-step explanation:
Very simple and quick
Whats the difference between Rational and irrational numbers?
Answer:
Numbers that can be expressed as a ratio of two number (p/q form) are termed as a rational number. Numbers that cannot be expressed as a ratio of two numbers are termed as an irrational number.
Step-by-step explanation:
2.-3(x-2) OS
(1 Point)
Enter your answer
Answer:
-3x+6
Step-by-step explanation:
Again, you multiply -3 times x and you get -3x, then you multiply -3 times -6 and since you are multiplying two negative numbers the result becomes positive so you get +6. Result = -3x+6
whats the decimal for 47.103
Answer:
that is a decimal
Step-by-step explanation:
What is the value of the expression (-2)^5
Answer:
-32
Step-by-step explanation:
Juan's age is 3 less than twice Robert's age. The sum of their ages is 21. How old
are Juan and Robert? Create an equation and solve to find the ages.
Answer:
juan is 13
robert is 8
y=2x-3
Step-by-step explanation:
The equation might be wrong.
Good luck!
Puzzle #
1
A: :
THERE ARE 18 RED CRAYONS
AND 24 GREEN CRAYONS IN A
BASKET. WHAT IS THE RATIO OF
RED TO GREEN CRAYONS?
G:
A NEW COLOR OF GREEN
REQUIRES 5 PARTS YELLOW TO 4
PARTS BLUE IF THE PAINT MIXER
USED 30 GALLONS OF YELLOW.
HOW MANY GALLONS OF BLUE
WERE NEEDED?
3
AT YOUR NEW JOB AT THE COFFEE
SHOP, YOU SOLD 42 LARGE
COFFEES AND 54 SMALL COFFEES
WHAT WAS THE RATIO OF LARGE
TO SMALL COFFEES YOU SOLD?
UNDER A MICROSCOPE. YOU
COUNTED 48 AMOEBAS AND 56
PARAMECIUMS WHAT WAS THE
AMOEBA TO PARAMECIUM
RATIO?
answer
Step-by-step explanation:
I think that A is 3:4