Answer:
178
Step-by-step explanation:
Method 1: Set up a proportion
Set up an equation of the form:
\frac{\color{red}{\text{part}}}{\color{orange}{\text{whole}}}=
whole
part
=
\,\,\frac{\color{blue}{\text{percent}}}{100}
100
percent
Assign the variable xx to the unknown value:
\color{red}{x}=
x=
\,\,\color{red}{\text{part}}
part
The question asks what \textit{part}part of the total questions is 89%
Substitute the known values with the numbers given in the problem, and the unknown value with xx:
\frac{\color{red}{x}}{\color{orange}{200}}=
200
x
=
\,\,\frac{\color{blue}{89}}{100}
100
89
Solve for xx:
100\cdot\color{red}{x}=
100⋅x=
\,\,\color{orange}{200}\cdot\color{blue}{89}
200⋅89
Cross multiply
\frac{100x}{100}=
100
100x
=
\,\,\frac{17800}{100}
100
17800
Divide both sides by 100
178
Simplify
Method 2: Convert to decimal and multiply
{89}{100}=0.89
89%=
100
89
=0.89
Move decimal 2 places to the left
{Multiply result by the total:}
Multiply result by the total:
0.89{200}=
0.89⋅200=
178
number
percent
178
89%
200
100%
Answer:
178
Step-by-step explanation:
just trust meee
You roll two six-sided dice. Die 1 is fair. Die 2 is unfair such that the probability of rolling anodd number is23and the probability of rolling an even number is13, though the probabilityrolling of each odd number is the same, and the probability of rolling each even number isthe same. What is the probability of:a) rolling a number less than 4 on Die 1 and rolling a 5 on Die 2.b) the sum of both dice adding up to 4.
Answer:
a) P(rolling a number less than 4 on Die 1 and rolling a 5 on Die 2) = [tex]\frac{1}{9}[/tex]
b) P( the sum of both dice adding up to 4) = [tex]\frac{5}{54}[/tex]
Step-by-step explanation:
Given - You roll two six-sided dice. Die 1 is fair. Die 2 is unfair such that the probability of rolling an odd number is and the probability of rolling an even number is , though the probability rolling of each odd number is the same, and the probability of rolling each even number is the same.
To find - What is the probability of:
a) rolling a number less than 4 on Die 1 and rolling a 5 on Die 2.
b) the sum of both dice adding up to 4.
Proof -
The sample space , S = { (1,1), (1,2), (1,3), (1,4), (1,5), (1,6)
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)
(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)
(6,1), (6,2), (6,3), (6,4), (6,5), (6,6) }
Now,
Given that , Dice 1 is fair
⇒P₁(1) = P₁(2) = P₁(3) = P₁(4) = P₁(5) = P₁(6) = [tex]\frac{1}{6}[/tex]
Also,
Given Dice 2 is unfair
⇒P₂(1) = P₂(3) = P₂(5) = [tex]\frac{2}{3}.\frac{1}{3} = \frac{2}{9}[/tex]
P₂(2) = P₂(4) = P₂(6) = [tex]\frac{1}{3}.\frac{1}{3} = \frac{1}{9}[/tex]
Now,
a)
P(rolling a number less than 4 on Die 1 and rolling a 5 on Die 2) = P₁(1)P₂(5) + P₁(2)P₂(5) + P₁(3)P₂(5)
= P₂(5) [ P₁(1) + P₁(2) + P₁(3) ]
= [tex]\frac{2}{9}[/tex] [ [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{6}[/tex] ] = [tex]\frac{2}{9}[/tex][tex][\frac{3}{6} ][/tex] = [tex]\frac{1}{9}[/tex]
⇒P(rolling a number less than 4 on Die 1 and rolling a 5 on Die 2) = [tex]\frac{1}{9}[/tex]
b)
P( the sum of both dice adding up to 4) = P₁(1)P₂(3) + P₁(2)P₂(2) + P₁(3)P₂(1)
= [tex]\frac{1}{6}[/tex] × [tex]\frac{2}{9}[/tex] + [tex]\frac{1}{6}[/tex] × [tex]\frac{1}{9}[/tex] + [tex]\frac{1}{6}[/tex] × [tex]\frac{2}{9}[/tex] = [tex]\frac{5}{54}[/tex]
⇒P( the sum of both dice adding up to 4) = [tex]\frac{5}{54}[/tex]
Help meeee.. I’ll mark you brainlist and Uc you scam then i report lol but helpppp me
Answer:
70 units²
Step-by-step explanation:
Area of the figure = area of rectangle + area of triangle
= L*W + ½*bh
L = 10
W = 5
b = 5
h = 18 - 10 = 8
Substitute:
Area of the figure = 10*5 + ½*5*8
= 50 + 20
= 70 units²
A seventh-grade student forgets to bring his lunch money on several occasions. Each time he forgets his lunch money, he has to charge his cafeteria account by .15.
Solve the following equation.
4(−3.15)=
Explain what this product means in terms of the cafeteria account.
Answer:
-12.6
Step-by-step explanation:
A zoo requires that 1 adult accompany every 7 students that visit the zoo. How many adults must accompany 28 students?
Answer:
4 adaults
Step-by-step explanation:
x² + 3x -4 = 0
Factor the quadratic equation
Answer:
(x-1)(x+4)
Step-by-step explanation:
[tex]x^2+3x-4\\x^2-x+4x-4\\x(x-1) 4(x-1)\\(x-1)(x+4)[/tex]
Pls help me i will mark brainliest
The bill cost is directly proportional to the calling time.
Is the cellphone bill model directly proportional?
In this exercise we need to check if the cost of the phone bill (y), in US dollars, is directly proportional to calling time (x), in minutes. Then, the following model has to be fulfilled:
k = y / x
Where k is the constant of proportionality, in US dollars per minute.
The bill model is directly proportional if and only if the constant of proportionality is the same for every pair of values:
k₁ = 12 / 80
k₁ = 3 / 20
k₂ = 9 / 60
k₂ = 3 / 20
There, the bill cost is directly proportional to the calling time.
To learn more on direct proportion models: https://brainly.com/question/20400984
#SPJ1
please help me.. i would really appreciate it, thank you!
Ben loves Thanksgiving and he cooks the family turkey every year. He has noticed that over the years the amount of people who show up for his Thanksgiving dinner tends to vary, and he was wondering if this was correlated with the size of the turkeys he cooks. He recorded the weight of the turkeys he cooked (in lbs.) and the amount of guests who showed up for diner for 12 randomly chosen Thanksgivings. When he was analyzing the data he decided to perform a Box Cox transformation and he derived a lambda equal to 0.891.
What transformation does this value of lambda suggest?
a. With a lambda close to 1. it looks like we should take the square root of y
b. With a lambda close to 1. it does not look like we need to re-express the data.
c. With a lambda close to 1, it looks like we should take the log of y
d. With a lambda close to 1. it looks like we should take the log of x.
Answer:
The answer is "Option b".
Step-by-step explanation:
Calculating the common Box-Cox Transformation:
[tex]\lambda \ value \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Transformed \ data \ (Y')\\\\[/tex]
[tex]-3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-3} =\frac{1}{Y^3} \\\\ -2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-2} =\frac{1}{Y^2} \\\\ -1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-1} =\frac{1}{Y^1} \\\\ -0.5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-0.5} =\frac{1}{\sqrt{Y}} \\\\ 0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \log(Y)^{**} \\\\[/tex]
[tex]0.5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-0.5} =\sqrt{(Y)} \\\\ 1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{1} =Y \\\\ 2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{2} \\\\ 3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{3} \\\\[/tex]
Solve: 9x^2-49=0
A. -9/49, 9/49
B. -49/9, 49/9
C. -3/7, 3/7
D. -7/3, 7/3
Answer:
D. -7/3, 7/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Multiple RootsStep-by-step explanation:
Step 1: Define
9x² - 49 = 0
Step 2: Solve for x
[Addition Property of Equality] Isolate x term: 9x² = 49[Division Property of Equality] Isolate x term: x² = 49/9[Equality Property] Isolate x: x = ±7/3There are 37 students on a bus the bus stops 5 times. 7 students get off at each stop how many students are left on the bus
hihhhhi someone help please ..
Answer:
1. 2³
2.2⁵= 2×2×2×2×2= 32
2⁶= 2×2×2×2×2×2= 64
Step-by-step explanation:
hope it helps
Answer:
1. [tex]2^{3}[/tex]
2. It represents [tex]2*2*2*2*2[/tex] and [tex]2*2*2*2*2*2[/tex]
Step-by-step explanation:
1. it would have to be an exponent so 2*2*2 is 8 and 2^3 is also 8
2. it is an exponent so it would basically be multiplying the number times the number/amount of exponents so 2^5= 32 and 2^6=64
hope this helped :)
13x = 17 divided by 13
Answer:
x=17/13
Step-by-step explanation:
pretty sure you just shift x alone by itself
Answer: [tex]17/13=1.30769231[/tex]
Step-by-step explanation:
3(4x + 10) = 12x + 20
How many solutions does this equation have ?
i need help with this problem
9514 1404 393
Answer:
(a) 4 in²
Step-by-step explanation:
The volume of a rectangular prism is given by the formula ...
V = Bh
where B is the area of the base, and h is the height of the prism.
We can find the area of the base by solving for B.
B = V/h
B = (12 in³)/(3 in)
B = 4 in² . . . . . . . . . . matches the first choice
Please help me I’m struggling
Answer:
Step-by-step explanation:
Remark
This is a cosine law problem.
a = 12
b = 15
C = 83
Notice that the angle is enclosed by 2 given sides. That's what a cosine problem looks like (one of the two choices.
Formula
c^2 = a^2 + b^2 - 2ab*cos(C)
Solution
c^2 = 12^2 + 15^2 - 2*12*15 * cos(83)
c^2 = 144 + 225 - 360 * cos(83)
cos(83) = 0.1219
c^2 = 144 + 225 - 360 * 0.1219
c^2 = 369 - 43.884
c^2 = 325.116
sqrt(c^2) = sqrt(325.116)
c = 18.031
To the nearest tenth, the answer is 18.0 and you must include the 0.
A quarter is worth 1/4
of a dollar. Hayley needs to exchange dollar bills to get
quarters to do her laundry. How many quarters will she
get for $13?
Answer:
52
Step-by-step explanation:
52x0.25=13
Answer:
52 quarters
Step-by-step explanation:
13 dollars x 100 cents
= 1,300 cents
1,300 cents / 25 cents
= 52 quarters
Leslie placed this ad in Collector Car Monthly. 1957 Chevrolet Nomad station wagon. Tropical Turquoise, 6 cyl. auto, PS, PW, AM/FM, repainted, rebuilt transmission, restored two-tone interior. Mint! Moving, sacrifice, $52,900. 555-4231
Complete Question:
Leslie placed this ad in Collector Car Monthly.
1957 Chevrolet Nomad station wagon. Tropical
Turquoise, 6 cyl. auto, PS, PW, AM/FM, repainted,
rebuilt transmission, restored two-tone interior.
Mint! Moving, sacrifice, $52,900. 555-4231
(a) If the publication charges $48 for the first three lines and $5 for each extra line, how much will this ad cost Leslie?
(b) b. Ruth buys the car for 8% less than the advertised price. How much does she pay?
(c) Ruth must pay her state 6% sales tax on the sale. How much must she pay in sales tax?
Answer:
[tex]Total = \$53[/tex]
[tex]Ruth = \$48668[/tex]
[tex]Sales\ Tax = \$2920.08[/tex]
Step-by-step explanation:
Given
[tex]Ad = 4\ lines[/tex]
[tex]Charges: \$48[/tex] --- First 3 lines
[tex]Additional: \$5[/tex] -- Extra lines
Solving (a) : Determine the total charge
The ad has 4 lines. This means that 3 of the 4 lines will be charged at $48 (in total) while the extra line will be charged at $5 per line
So, the total charge is calculated as:
[tex]Total = 3\ lines + 1\ line[/tex]
[tex]Total = \$48 + 1 * \$5[/tex]
[tex]Total = \$48 + \$5[/tex]
[tex]Total = \$53[/tex]
Solving (b): How much does Ruth pay?
From the ads, the price of the car is:
[tex]Price = \$52,900[/tex]
And Ruth pays 8% less.
This means that she pays 92% (i.e. 100% - 8% = 92%)
So, the calculation is:
[tex]Ruth = 92\% * Price[/tex]
[tex]Ruth = 92\% * \$52900[/tex]
[tex]Ruth = \$48668[/tex]
Solving (c): The sales tax
[tex]Sales\ Tax = Sales\ Tax\% * Amount\ Paid[/tex]
[tex]Sales\ Tax = 6\% * \$48668[/tex]
[tex]Sales\ Tax = \$2920.08[/tex]
You randomly select ONE card from a 52-card deck. Find the probability of selecting a card greater than 2 and less than 7, or a diamond.
There is 13 diamonds and 4 numbers greater than 2 but less than 7. This means your probability of selecting one of these specific cards is a 17/52 chance
A cookie recipe that calls for 2 2/3 cups of sugar will make 32 cookies however you only have 1 2/3 cup of sugar and you have to adjust your recipe what fraction of the recipe
Explanation is in the file
tinyurl.com/wpazsebu
Find the measurement of side QR.
Answer:
Step-by-step explanation:
Another similar triangle. then the sides that are the same are:
r /d = p / b
r =30
d = 72
b = 60
p = QR
30 / 72 = QR / 60
( 30 / 72 ) 60 = QR
1800 / 72 = QR
25 = QR
:) glad they makes these work out to easy numbers.. I mean not some long decimal
how can u find the number of inches in one mile
Answer:
63360
Step-by-step explanation:
==> 5280 ft = x inch. ==> x = 12*5280 = 63360 inch. Then, there are 63,360 inches in one mile.
Answer:
There are 63,360 inches in one mile.
Step-by-step explanation:
We multiply by the conversion factor:
1 mile (5280 feet/1 mile)(12 inches/1 foot)= 63,360 inches per mile.
Which of the following is an equation of the line with slope 5 that passes through the
point (1, - 4)
Answer:
y=5x-9
Step-by-step explanation:
You want to find the equation for a line that passes through the point (1,-4) and has a slope of 5.
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was 5. So you can right away fill in the equation for a line somewhat to read:
y=5x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(1,-4). When x of the line is 1, y of the line must be -4.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: . b is what we want, the 5 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (1,-4).
So, why not plug in for x the number 1 and for y the number -4? This will allow us to solve for b for the particular line that passes through the point you gave!.
(1,-4). y=mx+b or -4=5 × 1+b, or solving for b: b=-4-(5)(1). b=-9.
The equation of the line that passes through the point (1,-4) with a slope of 5
is
y=5x-9
Which of the following uses scientific notation
incorrectly?
(View picture)
Which expression is equivalent to (73)-2
1/7.7.7.7.7.7
7
1/7
-1/7.7.7.7.7.7
Answer:
73*-2 =-146 you have to multiply the 73 to the -2
Step-by-step explanation:
Conver 0.5 and 3/4 to a percent
Answer:
0.5 = 50%, 3/4 = 75%
Step-by-step explanation:
4x + 3 − 23x
This expression has 3 terms.
true or false
Answer:
True
Terms are separated by the signs
Maitland multiplies 0.05 x 0.8 on a calculator. The calculator shows a product of 0.04. Maitland says the calculator must be broken because multiplying tenths by hundredths give a product in the thousandths.
Is the calculator broken?
Answer:
no, the calculator is not broken
Step-by-step explanation:
its not broken i got the same answer your welcome
Choose the equation for the line in slope-intercept form.
What number is 0.01 less than 31?
30.99
30.9
30.09
30
Answer:
30.99
Step-by-step explanation:
31 - 0.01 = 30.99
A box contains 4 red marbles, 9 white marbles, and 8 blue marbles. If a marble is randomly selected from the box, what is the probability that it is blue? Express your answer as a fraction or a decimal number rounded to three decimal places, if necessary.
Answer:
8/21
Step-by-step explanation:
Add the number of marbles : 4+9+8= 21
Then how many are blue: 8
Answer 8/21. Can't be simplified
0.38