Answer:
30.5 iches
Step-by-step explanation:
Marshall has $0.34 in dimes and pennies. He has 7 coins altogether. How many coins of each kind does he have?
Dimes are 0.10 each
Pennies are 0.01 each
You need 4 pennies to get the 0.04
Then you would have 3 dimes .
3 x 0.10 = 0.30
4 x 0.01 = 0.04
0.30 + 0.04 = 0.34
23x + 18 - 12x = 62
Answer:56/23
Step-by-step explanation:
23x +18-12=62
23x+6=62
23x=56
X=56/23
Answer:
x=4
Step-by-step explanation:
Group like terms
23x-12x+18=62
add similar elements
11x+18=62
subtract 18 from both sides
11x+18-18=62-18
simplify
11x=44
divide both sdies by 11
11x/11=44/11
simplify
x=4
if nth term of the AP 3,10,17.... is same as the nth term of the AP 63,65,67.... find n.
Answer:
n = 13
Step-by-step explanation:
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1)d
[tex]a_{n}[/tex] = 3 + 7(n - 1) (for the first AP)
[tex]a_{n}[/tex] = 63 + 2(n - 1) ( for the second one)
3 + 7(n - 1) = 63 + 2(n - 1)
3 + 7n - 7 = 63 + 2n - 2
5n = 65
n = 13
Answer:
n = 13
Step-by-step explanation:
AP = 2, 10, 17 ...
AP1 = 63,65, 67
Find the general term of AP
L = a + (n - 1)*d
a = 2
d = 7
Find the general term of AP1
L = 63 + (n - 1)*d
a = 63
d = 2
Equation to equate both of them
L = 3 + (n-1)7
L1 = 63 + (n - 1)*2
Equate L and L1
2 + (n - 1)*7= 63 + (n-1)*2 Subtract 3 from both sides
(n - 1)*7 = 63 - 3 + (n - 1)*2 Remove the brackets
7n - 7 = 60 + 2n - 2 Combine the like terms on the right
7n - 7 = 58 + 2n Subtract 2n from both sides
7n - 2n -7 = 58 Add 7 to both sides
5n = 58 +7 Divide by 5
n = 65/5
n = 13
So the 13th term on each series is equal.
L_13 = 3 + (13 - 1)*7
L_13 = 3 + (12)*7
L_13 = 87
=====================
L'_13 = 63 + (13 -1 ) * 2
L'_13 = 63 + 12*2
L'_13 = 87
What are the coordinates of point S?
A. -3/4, 1/2
B. -1/2, -3/4
C. 1/2, -3/4
D. 3/4, 1/2
Answer:
i think it's C.
Step-by-step explanation:
i really hope I'm right :/
Each side of a square is (7 + 3x) units. Which is the perimeter of the square?
Answer:
28+12x
Step-by-step explanation:
The perimeter of a square is 4s where s is the side lenght. In your case s is 7+3x so the perimeter will be (28+12x).
12. A quality control procedure at a manufacturing facility involves selecting 5 items at random from a large batch, and then accepting the entire batch if at least 3 of the selected items pass inspection. If in reality 80% of all items produced would individually pass inspection, what is the probability that the batch will be accepted
Answer:
The probability is 0.9421
Step-by-step explanation:
Here, we want to calculate the probability that the batch will be accepted
For it to be accepted, 3,4 or 5 of the items would pass inspection
let p be the probability of a single item
passing the inspection
This probability is 80% = 0.8
Let q be the probability of failing inspection = 2-0.8 = 0.2
The Bernoulli approximation of the probability distribution for 3 passing the inspection out of five will be;
5 C 3 0.8^3 0.2^2 = 0.2048
Next we calculate for 4 out of the five
That will be
5 C 4 0.8^4 0.2 = 0.4096
Finally we calculate for all 5
5 C 5 0.8^5 0.2^0 = 0.32768
So the probability that the batch will be accepted will be;
0.32768 + 0.4096 + 0.2048 = 0.94208
Using the binomial distribution, it is found that there is a 0.9421 = 94.21% probability that the batch will be accepted.
For each item, there are only two possible outcomes, either they pass inspection, or they do not. The probability of an item passing inspection is independent of any other item, hence the binomial distribution is used to solve this question.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
5 items are selected, hence [tex]n = 5[/tex].80% of all items produced would individually pass inspection, hence [tex]p = 0.8[/tex].The probability that the batch will be accepted is:
[tex]P(X \geq 3) = P(X = 3) + P(X = 4) + P(X = 5)[/tex]
In which:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{5,3}.(0.8)^{3}.(0.2)^{2} = 0.2048[/tex]
[tex]P(X = 4) = C_{5,4}.(0.8)^{4}.(0.2)^{1} = 0.4096[/tex]
[tex]P(X = 5) = C_{5,5}.(0.8)^{5}.(0.2)^{0} = 0.3277[/tex]
Then:
[tex]P(X \geq 3) = P(X = 3) + P(X = 4) + P(X = 5) = 0.2048 + 0.4096 + 0.3277 = 0.9421[/tex]
0.9421 = 94.21% probability that the batch will be accepted.
You can learn more about the binomial distribution at https://brainly.com/question/24863377
if p is directly proportional to 7 and p=12 when t =4 find the value of t when p=18
Answer:
When p=18, t=6
Step-by-step explanation:
If p and t are directly proportional, then:
p = k.t
Where k is the constant of proportionality.
We are given an initial condition: when p=12, then t=4. Substituting in the equation:
12 = k.4
Solving for k
k = 12/4 =3
The equation is:
p = 3t
Now we are required to find the value of t when p=18:
18 = 3t
Solving for t:
t = 18/3 = 6
t = 6
Thus, when p=18, t=6
find the product of 4y²x(xy-2x²)
4y²x(xy-2x²)=4y³x²-8y²x³
Answer:
4y³x² - 8x³y²
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Exponential PropertiesStep-by-step explanation:
Step 1: Define
4y²x(xy - 2x²)
Step 2: Multiply
Distribute: 4y²x(xy) - 4y²x(2x²)Multiply: 4y³x² - 8x³y²Please help me slove this problem
7 = 4x - 5
Answer:
x = 3
Step-by-step explanation:
7 = 4x - 5
7 - 4x = -5
-4x = -5 - 7
-4x = -12
x = 12 ÷ 4
x = 3
Answer:
×=3
Step-by-step explanation:
7=4×-5
7-4×=5
-4×=-5-7
-4×=-12
×=12÷4
×=3
3(2y-3)-6=-12
i am in algebra 1.
Answer:
y = 1/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
3(2y - 3) - 6 = -12
Step 2: Solve for y
Add 6 to both sides: 3(2y - 3) = -6Divide 3 on both sides: 2y - 3 = -2Add 3 to both sides: 2y = 1Divide 2 on both sides: y = 1/2Answer:
Step-by-step explanation:
here you go mate
step 1
3(2y-3)-6=-12 equation
step 2
3(2y-3)-6=-12 simplify
(3)(2y)+(3)(-3)+-6=-12
step 3
(3)(2y)+(3)(-3)+-6=-12 distribute
6y+(-9)+(-6)=-12
step 4
(6y)+(-9+-6)=-12 combine the terms
6y-15=-12
step 5
6y-15(+15)=-12(+15) add +15 to both sides
6y=3
step 6
6y/6=3/6
answer
y=1/2
----------- are used to represent an unknown quantity in a mathematical expression.
HELP I WILL GIVE BRAINLEIST
Answer:
variables
Step-by-step explanation:
In a study, subjects are randomly assigned to one of three groups: control, experimental A, or experimental B. After treatment, the mean scores for the three groups are compared. The appropriate statistical test for comparing these means is:
Answer:
Analysis of variance
Step-by-step explanation:
The appropriate statistical tool for this is the analysis of variance. The analysis of variance, also known as the ANOVA, is a statistical method which has the ability to separate data from observed variance into various components which is then use for more tests.
The anova gives an analysis of the differences that are in the group means of a sample.
The appropriate statistical test for comparing these means is Analysis of variance.
ANOVA stand for Analysis of variance. It is a statistical models and its associated estimation procedures are used to analyze the differences among means.
It simply provides a statistical test for two or more population to check if the means are equal or not, and therefore generalizes the t-test beyond two means.
Hence, the appropriate statistical test for comparing these means is Analysis of variance.
To know more visit:
https://brainly.com/question/15394749
Ten percent of the items produced by a machine are defective. Suppose that twenty items are randomly chosen. Use this information to answer the following three questions. What is the probability that exactly 3 of the items are defective
Answer:
15%
Step-by-step explanation:
if 10% is to 20 then 15% is to 30
The figure is made up of a square and a rectangle. Find the area of the shaded region.
first we do
square is length 6 so base =6
10-6=4
the rectangle is 2 by 4
base=4
square is 6 by 6
rectangle is 4 by 2
split the triangles up
area of triangle=1/2base times height
rectangle triangle base=4
height=2, area=1/2 times 2 times 4=4
square triangle
flip 90 degrees clockwise so we have base=2
height=6
area=1/2 times 2 times 6=6
add
4+6=10
total area=10m^2
Patti went to the bakery. she bought a loaf of bread for 3.49, 6 muffins that cost 1.25 each, and a bottle of juice for 1.75. she gave the cashier a 20$ bill
how much should Patti receive? write equations to show ur work
!HELLp NoW! Asap
Answer:
$ 7.26
Step-by-step explanation:
You're welcome :)
Noah picked 3 kilograms of cherries. Mai picked half as many cherries as Noah. How many total kilograms of cherries die Mia and Noah pick together?
Group of answer choices
Answer:
cherries picked by Noah =3kg
Mia picked = 1/2*3 = 1.5kg
Total cherries picked together = 3+1.5 = 4.5kg
Step-by-step explanation:
Answer:
4.5 or 4 1/2. Based on the given conditions, formulate: 3 + 3 / 2 Find common denominator and write the numerators. ++++=4.5
Step-by-step explanation:
CORRECT THIS ANSWER MARK A BRAIN LESS
Tired asl I need some help, thanks.
Answer:
C
Step-by-step explanation:
y=5-2x
3x-y=15
Substitute
3x-(5-2x)=15
Theo borrows $8,000 for college expenses. He will pay a total of $10,280 after 6 years. What percent of interest did Theo pay?
i will give you 10 coins
9514 1404 393
Answer:
4.75%
Step-by-step explanation:
When simple interest is charged, the payback amount is ...
A = P(1 +rt) . . . . for annual rate r and a term of t years
Using the given values, we can solve for r.
10280 = 8000(1 +6r)
1.285 = 1 +6r . . . . . . . . divide by 8000
0.285 = 6r . . . . . . . . . . subtract 1
0.285/6 = r = 0.0475 = 4.75% . . . . . . divide by 6; express as %
Theo paid interest at the rate of 4.75%.
In a particular triathlon the athletes cover 1/24 of the total distance by
swimming, 1/3 of it by running, and the rest by bike. What is the ratio of
the distance covered by bike to the distance covered by running?
Answer:
15/8
Step-by-step explanation:
Let "d" be the total distance, that is, the distance for swimming (s), running (r) and going by bike (b).
d = s + r + b [1]
1/24 of the total distance is covered by swimming.
s = 1/24 d [2]
1/3 of the distance is covered by running.
r = 1/3 d [3]
If we replace [2] and [3] in [1], we get
d = 1/24 d + 1/3 d + b
b = d - 1/24 d - 1/3 d
b = 24/24 d - 1/24 d - 8/24 d
b = 15/24 d = 5/8 d
The ratio of the distance covered by bike to the distance covered by running is:
b/r = (5/8 d)/(1/3 d) = 15/8
Painter has 7/8 liters of paint remaining each statue requires 1/20 how many statues can she paint
Answer:
1/20 liters per statue
so you divide 7/8 by 1/20
7/8*20/1
17.5 statues
but there cant be decimal statues,
so 17 statues is the answer
Answer:
17 statues.
Step-by-step explanation:
7/8 / 1/20
= 7/8 * 20
= 140/8
= 17.5.
find the unit rate round to the nearest hundredth calculator $170 for 14ft2
Answer:
don't expect people to help when you comment bs under their questions for points, mad weird
Jaxon is deciding between two landscaping companies for his place of business. Company A charges $45 per hour and a $150 equipment fee. Company B charges $35 per hour and a $200 equipment fee. Let
A
A represent the amount Company A would charge for
t
t hours of landscaping, and let
B
B represent the amount Company B would charge for
t
t hours of landscaping. Write an equation for each situation, in terms of
t
,
t, and determine the interval of hours,
t
,
t, for which Company A is cheaper than Company B.
Answer:
A
Step-by-step explanation:
It charges cheapeer
The Nice'n'Easy is selling gas for $2.14 per gallon of gas. How much will Sam have to pay for 14.5 gallons?
Answer:
2.14 x 14.5 = $31.03
Step-by-step explanation:
Hope this helped have an amazing day!
1) Find the sum 4.5 + 5.9
Answer:
Step-by-step explanation:
Steps are below
step 1
4.5 + 5.9 equation
step 2
4.5 + 5.9 add them together by moving the points
4.5 + 5.9
10.4
find the midpoint of the segment with endpoints with coordinates at (-2,3) and (6,3)
helppppppppp:)))))))))))
Answer:
bottom one
Step-by-step explanation:
9a-b-2a-10b add like terms
7a-11b
Which three quantities are needed in order to calculate the value of the Y-intercept for the linear
regression prediction equation?
The slope, the mean of X, and the total number of observations in the data
The slope, the mean of Y, and the total number of observations in the data
The mean of X, the mean of Y, and the total number of observations in the data
The mean of X, the mean of Y, and the slope
9514 1404 393
Answer:
(d) The mean of X, the mean of Y, and the slope
Step-by-step explanation:
A point on the linear regression curve is (mean(x), mean(y)). With that point and the slope, the equation of the line can be found. That equation will reveal the y-intercept.
y-intercept = mean(y) -slope·mean(x)
HELPPPPPPP!!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
As you saw in my comments, I explained it.
Thank you for letting me help!
Cheers!
- Kay :)
Four boxes of cookies cost $18 how much does one box of cookies cost
Answer:
$5.50
Step-by-step explanation:
Answer:
You would get 4.5 as your answer or 4 1/2
Step-by-step explanation:
You literally just do 18/4
And you get your answer
The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8200 ft, the liquid boils at 199.42°F. At an altitude of 4700 ft, the liquid boils at 206.07°F. Write an equation giving the boiling point b of the liquid, in degrees Fahrenheit, in terms of altitude a, in feet. What is the boiling point of the liquid at 2500 ft?
Write an equation.
b=nothing
Answer:
The boiling point of the liquid it 210.25°F
Step-by-step explanation:
Linear Modeling
Some real-life events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to build the model and predict unknown behaviors.
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:
[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
We are given the following points (H,A) where A is the altitude and P is the boiling point of a certain liquid: (8200,199.42) and (4700,206.07)
Applying the formula:
[tex]\displaystyle B-199.42=\frac{206.07-199.42}{4700-8200}(A-8200)[/tex]
Calculating:
[tex]\displaystyle B-199.42=\frac{6.65}{-3500}(A-8200)[/tex]
[tex]\displaystyle B-199.42=-0.0019(A-8200)[/tex]
[tex]\displaystyle B-199.42=-0.0019A+15.58[/tex]
[tex]\displaystyle B=-0.0019A+15.58+199.42[/tex]
The equation is:
[tex]\displaystyle B=-0.0019A+215[/tex]
Finally, we calculate the boiling point at A=2500 ft:
\displaystyle B=-0.0019*2500+215
B = 210.25°F
The boiling point of the liquid it 210.25°F