Answer:
$128
Step-by-step explanation:
20 divided by 5 = 4
4 x 20 = 128
please brainly, I would really appreciate it!
Grace and Jack are playing a game with a gigantic bucket of markers. Jack took a random sample of markers from the bucket and counted 12 yellow markers, 37 blue markers, and 1 red marker. Use the observed frequencies to create a probability model for the color of the next randomly selected marker from the gigantic bucket of markers. Input your answers as fractions or as decimals rounded to the nearest hundredth.
Using the given frequencies, the probabilities for the next color chosen is:
P(yellow) = 0.24.P(blue) = 0.74.P(red) = 0.02What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
There were 50 markers, of which 12 were yellow, 37 blue and 1 red, hence the probabilities for each are given as follows:
P(yellow) = 12/50 = 0.24.P(blue) = 37/50 = 0.74.P(red) = 1/50 = 0.02More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ1
In a 30-60-90 triangle, the length of the hypotenuse is 17. Find the length of the side opposite the 30 degree angle.
Step-by-step explanation:
we know that on a 30 60 90 trianlge the length of the side opposite the 30 degree angle is half of the length of hypotenuse.So in this problem
the length of the side opposite the 30 angle is 17/2
talking about exercise on the photo the answer is
8√3 because it is given that the length of the side opposite the 30 anlge is 8 so hypotenuse is 16 we mentioned why before.
Now lets use pythagorean theorem
x^2+y^2=z^2
z is hypotenuse
8^2+y^2=16^2
64+y^2=256
y^2=256-64
y^2=192
y=8√3
Convert the rectangular coordinates (5,−5√3) to polar form. Let r>0 and 0≤θ<2π.
Enter your answer by filling in the boxes. Enter coordinates as simplifed fractions or radicals in simplest form.
( , )
Answer:
(10, 5π/3)
Step-by-step explanation:
To convert rectangular coordinates (5, -5√3) to polar form, we can use the following formulas:
r = √(x^2 + y^2)
θ = arctan(y/x)
Substituting the given values, we get:
r = √(5^2 + (-5√3)^2) = √(25 + 75) = √100 = 10
θ = arctan((-5√3)/5) = arctan(-√3) = -π/3
Note that the value of θ is in the fourth quadrant, which corresponds to a negative angle. However, we need to express the angle θ in the range 0 ≤ θ < 2π. To do this, we can add 2π to the angle if it is negative:
θ = -π/3 + 2π = (5π/3)
Therefore, the rectangular coordinates (5, -5√3) in polar form are (10, 5π/3).
A binomial experiment has the given number of trials N and the given success probability P.
N=8 and P=0.1
P(1)
The probability of the success will be 0.3826.
What is binomial distribution?Bernoulli's trials are those trials which end up randomly either on success (with probability p) or on failures (with probability 1- p = q (say))
The probability that out of n trials, there'd be x successes is given by
\(\rm P(x) = \: ^nC_xp^x(1-p)^{n-x}\)
We have
n = 8
p = 0.1
q = 1 – 0.1 = 0.9
x = 1
Then we have
P(1) = ⁸C₁ x (0.1)¹ x (0.9)⁷
P(1) = 0.3826
Learn more about binomial distribution here:
https://brainly.com/question/13609688
#SPJ1
an architect is designing a new uilding. He makes a model of the building such that the area of the rectangular base is 12xsquared minus 11x -r
Answer:
2x2 sidhuedfhjxiijsejskfjks
Step-by-step explanation:
Answer:
................................................................................................................................
.Step-by-step explanation:
................................................................................................................................
A company borrows $52,500 for 5 years at a simple interest of 3.5% to buy cabinets.
¿Cuantas permutaciones pueden hacerse con la palabra columna?
Answer:
Se pueden hacer 5040 permutaciones con la palabra COLUMNA.
Explanation:
La palabara COLUMNA posee 7 letras, por lo que debemos hacer permutación sin repetición.
La formula es:
P_^{n}: n!
Donde n son todos los elementos.
Find the LCM of A= 3^2 x 5^4 x 7 and B= 3^4 x 5^3 x 7 x11
The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.
Given are two numbers which are showed in the prime factorized form.
A = 3² × 5⁴ × 7
B = 3⁴ × 5³ × 7 × 11
Prime factorization is the factorization of a number in terms of prime numbers.
In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.
A = 3² × 5³ × 5 × 7
B = 3² × 3² × 5³ × 7 × 11
Bring down the primes in each column.
LCM = 3² × 3² × 5³ × 5 × 7 × 11
= 3898125
Hence the LCM is 3898125.
Learn more about LCM here :
https://brainly.com/question/6756370
#SPJ1
mentaly multiply 9 by 13
Answer:
117
Step-by-step explanation:
10*9=90
3*9=27
90+27=117
This is a easy method to do multipication in mind
a high school had 740 students at the start of the year but then some students left the school after , that the school had 726 students .
if s = the number of students who left the school which mathematical sentence expresses the information above?
Answer:
I believe it's 726=740-S
Answer:
s = 740 - 14
Hope it helps u
please help me with math i’ll give you brainlist
Answer: False
Step-by-step explanation:
25% of the data is between Q1 and the median.
What are you primarily doing when you reconcile your checking account?
a.
Making sure the bank spelled your name properly.
b.
Making sure that your records match your bank’s records.
c.
Writing down the transactions that your bank automatically records so you don’t have to.
d.
Calling the bank to check the dates on each transaction.
Answer:
Its B
Step-by-step explanation:
Reconciliation is an accounting process that compares two sets of records to check that figures are correct and in agreement
Hope this helps
(>'-'<)
Fernando can run 600 meters
in 5 minutes. At this rate,
how many minutes would it
take him to run 1,500
meters?
Answer:
12.5 minutes
Step-by-step explanation:
Given that,
Fernando can run 600 meters in 5 minutes.
We need to find how many minutes would it take him to run 1500 meters.
ATQ,
600 m = 5 min
1 m = (5/600) min
For 1500 m,
\(t=\dfrac{5}{600}\times 1500\\\\t=12.5\ min\)
So, it will take 12.5 minutes to run 1500 m.
A person can burn
8 Calories per minute of running.
Determine whether the number of
Calories is proportional to the number
of minutes
Answer:
absolutely
Step-by-step explanation:
if you run for one min., you burn 8 calories right?
so if you run for example 10 mins., you would burn 80 calories
80>8
so yes
The figure shows a two-dimensional
representation of a bird made out of
origami paper. Find m/1 and m/2.
Explain your reasoning.
(3x + 5)°
(4x-30)
In the given origami of the two dimensional figure , the value of angle 2 is 70° and the value of angle 1 is 110 °
Parallel lines are straight lines that do not intersect at any point in geometry.
Parallel planes are three-dimensional pathways that never intersect. Parallel curves do not touch or intersect and have a fixed minimum distance.
From the figure we can see that m∠1 = 4x-30 as they are vertically opposite angles.
Again m∠1 = 3x+5 as they are corresponding angles from the pair of parallel lines.
now let us solve the linear equation to calculate the value of x.
3x+5 = 4x-30
or, -x = -35
or, x = 35
Now
m∠1 = 3x+5 = 110
Therefore m∠2 = 180 -110 = 70 ( straight angle formed whose sum is 180)
To learn more about origami visit:
https://brainly.com/question/8667656
#SPJ1
simplify the expresión:\(8 \times \frac{15}{5} - (5 + 9)\)
Following the order of operations PENDMAS you have to solve the terms in parentheses first, then the multiplication and finally the subtraction:
1) Solve the parentheses
\(8\cdot\frac{15}{5}-(14)\)2) Solve the multiplication
15/5=3
\(\begin{gathered} 8\cdot3-14 \\ 24-14 \end{gathered}\)3) Finally solve the subtraction
\(24-14=10\)write bicontional statement
The biconditional statement is: A rectangle is a parallelogram with four right angles if and only if a parallelogram has four right angles.
What is the biconditional statement.The term "if and only if" or biconditional statement refers to a compound statement composed of two conditional statements connected by a logical operator.
This definition is commonly utilized to describe the characteristics of a rectangle when it comes to its correlation with a parallelogram. The opening section of the biconditional statement is comprised of a conditional statement indicating that a rectangle is defined as a parallelogram featuring four right angles.
Learn more about biconditional statement from
https://brainly.com/question/8663998
#SPJ1
Write this definition as a biconditional statement.
A rectangle is a parallelogram with four right angles.
Kiyo invites 5 friends to a sporting event.
Tickets cost $40 each. He knows at least one
friend will choose to attend the event.
Answer: 40 dollars
Step-by-step explanation:
i hope the explanation is right:)
If he invites 5 friends for 40 bucks each then one friend that he knows will go is 40 dollars. So the only thing you have to do for this problem is multiply 40 by the number of friends which in this case i believe is 1.
Evaluate a + b for a = 12 and b = 6.
Answer:
Here,
a= 12
b = 6
Then,
a+b
= 12 + 6
= 18
.°. 18 is the solution
Answer:
\( \boxed{ \bold{ \boxed{ \sf{18}}}}\)
Step-by-step explanation:
If the values of variables of algebraic expressions are given, the value of the term or expression can easily obtained by replacing the variables with numbers.
Given, a = 12 and b = 6
\( \sf{a + b}\)
plug the values
⇒\( \sf{12 + 6}\)
Add the numbers
⇒\( \sf{18}\)
Hope I helped!
Best regards!!
select the name of the polygon. then select whether it is a regular polygon or not a regular polygon.
given the point A(-3,-2) and B(6,1), select two possible locations for point P so that P partitions AB in the ratio 2:1
A. (0,3)
B. (3,0)
C. (-1,0)
D. (0,-1)
E. (1,-1)
Answer: (0,3) & (0,-1)
Step-by-step explanation:
A number is divided by four. The result is added to five. This result is multiplied by three to give 27. What is the number?
The answer is 16
Explanation:16/4=4
4+5=9
9*3=27
Answer:
x=16
Step-by-step explanation:
We'll say that x represents the number.
3(\(\frac{x}{4}\)+5)=27 given equation
\(\frac{3x}{4}\)+15=27 distributive property
3x/4=12 subtract
3x=48 multiply
x=16 divide
help please i don't understand
Answer:
x = -4, -1, 9
Step-by-step explanation:
The zeros of f(x) will be found from the factors of f(x). Like factoring numbers, you reduce the problem in stages by factoring out the given factor. You can do this using polynomial long division, or its simpler cousin, synthetic division.
The attachment shows the synthetic division required to determine that the remaining quadratic factor is (x^2 -8x -9). That is ...
f(x) = (x +4)(x^2 -8x -9)
The quadratic can be factored by looking for two numbers that have a product of -9, but have a sum of -8. Those numbers are +1 and -9. These are the values of the constants in the remaining factors you need.
f(x) = (x +4)(x +1)(x -9)
The zeros of f(x) are the values of x that make these factors zero. (When a factor is 0, f(x) is 0.) The values of interest are the opposites of the constant in each factor, -4, -1, 9.
The zeros of f(x) are x = -4, -1, 9.
_____
Additional comment
In regular division, the divisor is multiplied by the (partial) quotient, and the product is subtracted from the dividend to get a new dividend. In synthetic division, the divisor is presumed to be a binomial of the form (x -r), where r is the zero of this binomial term. (x=r gives r-r = 0) It is this r value that appears in the upper left corner of the synthetic division table.
On August 1, Stacy had a debt of $43 in her checking account. After depositing $75 from her paycheck on August 15, what is her new account balance?
Answer:
32!
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
debt= -43
paycheck= 75
-43 + 75 = 32
I NEED HELP PLEASE! WILL MARK BRAINLIEST IF CORRECT !
Answer: 71.57
Step-by-step explanation:
You are going to use SOH CAH TOA to find the angle
because the opposite and adjacent are the sides from the reference angle use TOA (tanΘ=opp/adj)
TanΘ=\(\frac{9}{3}\)
now use that tan^-1 (9/3) on your calculator (make sure your calc is in degree mode)
71.57
A company that manufactures baseball bats believes that its new bat will allow players to hit the ball 30 feet farther than its current model. The owner hires a professional baseball player known for hitting home runs to hit ten balls with each bat and he measures the distance each ball is hit to test the company’s claim. The results of the batting experiment are shown in the following table. Construct a 99% confidence interval for the true difference between the mean distance hit with the new model and the mean distance hit with the older model. Assume that the variances of the two populations are the same. Let Population 1 be the distances of balls hit with the new model baseball bat and Population 2 be the distances of balls hit with the old model. Round the endpoints of the interval to one decimal place, if necessary.
Hitting Distance (in Feet)
New Model Old Model
297 286
274 262
274 265
210 273
218 232
288 277
225 258
227 237
249 236
259 270
Using the t-distribution, it is found that the 99% confidence interval for the true difference between the mean distance hit with the new model and the mean distance hit with the older model is (-25.4, 40.4).
We will find the standard deviation for each sample, hence, the t-distribution will be used.
For each sample, the mean, standard deviation and sample sizes are given by:
\(\mu_1 = 259.6, s_1 = 18.72, n_1 = 10\)
\(\mu_2 = 252.1, s_2 = 30.95, n_2 = 10\)
The standard error for each sample is given by:
\(s_{e1} = \frac{18.72}{\sqrt{10}} = 5.92\)
\(s_{e2} = \frac{30.95}{\sqrt{10}} = 9.79\)
The distribution of the differences has mean and standard error given by:
\(\overline{x} = \mu_1 - \mu_2 = 259.6 - 252.1 = 7.5\)
\(s = \sqrt{s_{e1}^2 + s_{e2}^2} = \sqrt{5.92^2 + 9.79^2} = 11.44\)
The interval is:
\(\overline{x} \pm ts\)
The critical value for a 99% two-tailed confidence interval, with 10 + 10 - 2 = 18 df, is t = 2.8784.
Then:
\(\overline{x} - ts = 7.5 - 2.8784(11.44) = -25.4\)
\(\overline{x} + ts = 7.5 + 2.8784(11.44) = 40.4\)
The 99% confidence interval for the true difference between the mean distance hit with the new model and the mean distance hit with the older model is (-25.4, 40.4).
To learn more about the use of the t-distribution to build a confidence interval, you can check https://brainly.com/question/25675821
Accounts receivable arising from sales to customers amounted to $86,000 and $77,000 at the beginning and end of the year, respectively. Income reported on the income statement for the year was $290,000. Exclusive of the effect of other adjustments, the cash flows from operating activities to be reported on the statement of cash flows is
Answer:
Revenue
Step-by-step explanation:
with a A teacher asked students in his class if they had any brothers or sisters. The results are shown below. What is the chance of randomly selecting someone from this group brother given that they have a sister?
P(Brother|Sister)
5/12
5/17
5/9
5/14
Answer:
5/14
Step-by-step explanation:
add 5 and 9 to get the denominator
The number of animals in a population at the start of year t is Pt
The number of animals at the start of year 1 is 400
Given that
Pt + 1 = 1.01Pt
work out the number of animals at the start of year 3
Therefore, the number of animals at the start of year 3 is approximately 408.04.
What is equation?An equation is a mathematical statement that shows the equality of two expressions, usually with an equal sign "=" in between them. An equation can contain variables, constants, and operators. The variables are represented by letters and can take on different values, while constants are fixed values that do not change. Operators include mathematical symbols like plus, minus, multiplication, and division, as well as exponents and logarithms.
Here,
We are given that the population at the start of year 1 (P1) is 400. Using the recurrence relation Pt + 1 = 1.01Pt, we can find the population at the start of year 2 (P2) and year 3 (P3) as follows:
P2 = 1.01 * P1 = 1.01 * 400 = 404
P3 = 1.01 * P2 = 1.01 * 404 = 408.04
To know more about equation,
https://brainly.com/question/2228446
#SPJ1
What is angle
Enter your answer in the box
Answer:
CAB is 37 degrees
Step-by-step explanation:
90 + 53 = 143
180 - 143 = 37