Answer:
5
Step-by-step explanation:
As given
1/sqrt2=x/5sqrt2
5sqrt2/sqrt2=x Both sqrt will get cancelled
5=x
Function 1 is defined by y =-7/3x-1
Answer:
Y-Intercept
Step-by-step explanation:
Your question is not that clear to answer. If you are asking what number -1 called its y-intercept
Robin had twenty-five math problems and thirty-six science problems for homework. If she finished thirty-four of the problems at school, how many problems did she have to do for homework?
Answer:
27 problems are remaining to solve
Please help I need P factored completely
P(x)=x^4+50x^2+625
Answer: here u go and can u give me brainliest
Step-by-step explanation:
Find AB If AC = 12 and BC = 35
Answer:
37
Step-by-step explanation:
a² =b²+ç²a²=12²+35²a=√1369a=37the area of a circle is 9 pi m^2 what is the circumference in meters
Answer:
6pi meters
Step-by-step explanation:
The formula for area of a circle is
A = pi r^2
9 pi = pi r^2
Divide each side by pi
9 = r^2
Take the square root of each side
sqrt(9) = sqrt(r^2)
3 =r
Now we can find the circumference
C = 2 * pi *r
C = 2 * pi *3
C = 6pi meters
Answer:
6pi meters
Step-by-step explanation:
give the person above brainliest
have a good one!
A school band performed a concert on four different days. The band sold tickets and snacks each day of the concert for a fundraiser. The first table shows the numbers of tickets sold and the amounts of money collected from ticket sales. The second table shows the numbers of snacks sold and the amounts of money collected from snack sales. If each snack costs the same price, what is the price per snack?
Answer:
$1.25
Step-by-step explanation:
There is a lot of unnecessary extra information we can ignore here. Simply divide the amount collected on any given day by the number of snacks sold.
53.75 / 43 = $1.25
Double check via another day:
45 / 36 = $1.25 ~ yup!
The price per snack is $1.25.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
From the table,
We see that,
43 snacks = $53.75
This means,
1 snack = 53.75/43 = 1.25
Similarly,
36 snacks = 45
1 snack = 45/36 = 1.25
Thus,
The price per snack is $1.25.
Learn more about expressions here:
https://brainly.com/question/3118662
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Two regular 6-sided dice are tossed. Compute the probability that the sum of the pips on the upward faces of the 2 dice is the following. (See the figure below for the sample space of this experiment. Enter your probability as a fraction.) 8
Answer: 5/36
Step-by-step explanation:
g The average midterm score of students in a certain course is 70 points. From the past experience it is known that the midterm scores in this course are Normally distributed. If 29 students are randomly selected and the standard deviation of their scores is found to be 13.15 points, find the probability that the average midterm score of these students is at most 75 points. (Round your final answer to 3 places after the decimal point).
Answer:
0.98 = 98% probability that the average midterm score of these students is at most 75 points.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The average midterm score of students in a certain course is 70 points.
This means that [tex]\mu = 70[/tex]
29 students are randomly selected and the standard deviation of their scores is found to be 13.15 points.
This means that [tex]\sigma = 13.15, n = 29, s = \frac{13.15}{\sqrt{29}} = 2.44[/tex]
Find the probability that the average midterm score of these students is at most 75 points.
This is the pvalue of Z when X = 75. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{75 - 70}{2.44}[/tex]
[tex]Z = 2.05[/tex]
[tex]Z = 2.05[/tex] has a pvalue of 0.98.
0.98 = 98% probability that the average midterm score of these students is at most 75 points.
Simplify:-(x+9)
Plz help
Answer:
-x-9
Step-by-step explanation:
-(x+9)
The "-" at the beginning can be rewritten as -1
=-1(x+9)
To distribute -1 into the parentheses, multiply each value inside by -1
=(-1)(x)+(-1)(9)
=(-x)+(-9)
= -x-9
I hope this helps!
What is the value of x?
Enter your answer in the box.
X =
Answer:
free
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
ok then, firstly, lets make line CB into y
sin45 / y = sin 90 / 6[tex]\sqrt{2}[/tex]
in other words, as sin 90 = 1
y / sin45 = 6[tex]\sqrt{2}[/tex]
y = sin 45 * 6[tex]\sqrt{2}[/tex] = 6 as sin 45 = root2/2, and root2 * root 2 = 2, so
6*2/2 = 6
we also know BCD is 30*, as angles in a tri add up to 180*
so, x/sin30 = 6/sin90 = 6
x/sin30 = 6
6*sin30 = x
x = 3 as sin 30 = 1/2
4 divided 1/5 hep me plz
Answer:
4/1/5=20 because when you divide by a fraction u keep change the divison into multiplaicton and flip the 1/5 to 5/1 so 4x5
Step-by-step explanation:
11. Find the area of shaded part.
19 yd -
5 yd
16 yd
Answer:
73.46 yds ^2
Step-by-step explanation:
triangle = 1/2bh = 1/2(19)(16) = 152
circle= πr^2
π(5)^2 = 25π = 78.54
152 -78.54= 73.46
Why do I have to learn all of this if I'm gonna be a Rockstar when I'm older? I'm not gonna sing about geometry. or use algebra to write a song...
If Matrix A is 4 x 4, and Matrix B is 4 x 3, what is the size of matrix AB? If AB is undefined, please state so.
In an arithmetic sequence, the 30th term is 112, and the 72nd term is 280. What is the 58th term?
Answer: 224
Step-by-step explanation: Subtract the terms and term number to find the common difference, 168/42=4. 112-29×4=-4=first term. 57×4+-4=224!
the other three finish painting the kitchen.write an equation to represent a way the four grandchildren.could have shared the painting so that your answer is equal to 8/8
Answer:
Step-by-step explanation:
The fraction 8/8 is an improper fraction. A proper fraction is one in which the numerator is less than the denominator.
1/1, 2/2, 3/3, 4/4, 5/5, 6/6, 7/7, 8/8, 9/9, 10/10, 11/11, 12/12, 13/13, 14/14, 15/15 ...
Evaluate the expression (4÷1)2
1. (18 points)You are stationed at a port on the ocean. A cruise liner is sailing past your port. When it
goes past you, it is traveling at a speed of 30. and is 2,000 ft from the shore.
Answer:
1400 ft.
Step-by-step explanation:
It is a simple problem you just need to take the rate (30 ft. per second) and multiply it times the number of seconds it traveled (20) so you're equation would be 20x30 which results in 600. This means the ship has traveled 600 ft. in 20 seconds meaning it is 600 ft. close to you. To get the final answer 1400 you take it's original distance (2000) and subtract how far it has traveled since then (600) so you would get 2000-600=1400 ft. away
HELP ME PLEASE ❗❗❗❗
What is the value of Q3 of the data represented by the box plot?
Enter your answer in the box.
Answer:
30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
:P
Stuck On this one too. Think I’m missing a step
Answer:
The answer is B) 152
Step-by-step explanation:
15% of 20 is ??? please helpp
Answer:
I believe it is 3
Step-by-step explanation:
Answer:
the answer is 3 brainlest plz
Step-by-step explanation:
A graduate student conducted a study of field mice in rural Kansas. The student obtained a sample of 100 field mice and recorded the weight, in grams, of each mouse. The mean and standard deviation of the recorded weights are 35 grams and 2.4 grams, respectively. After the measurements were taken, it was discovered that the scale was not calibrated correctly. The student adjusted the 100 measurements by subtracting 3 grams from each measurement. What are the values of the mean and standard deviation of the corrected measurements
Subtracting 3 from all measurements, it is found that:
The mean will decrease by 3.The standard deviation will remain constant.What are the mean and the standard deviation of a data-set?The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values.From this, we have that:
When 3 is subtracted from all measures, the sum of all observations will be subtracted by 3 x 100 = 300, hence the mean will decrease by 3.The mean decreases by 3, as does each observation, hence the sum of the differences squared between each observation and the mean remains constant, as does the standard deviation.More can be learned about the standard deviation of a data-set at https://brainly.com/question/12180602
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Which of the following is the equation of the line that passes through the point (-6, 1) and has
1
a slope of -
2
A
y =
1
- x +4
2
0
B
1
y = -x + 7
2
o
1
y = -x-2
2
D
11
1
y = -
2
2
Save and
Answer:
The answer should be C....
a cuanto le tienes que sumar a 67222 para que llegue a 72622?
le tienes que sumar 5,400 para que te de el resultado
Answer:
Le tienes que añadir 5400
Step-by-step explanation:
Use Lagrange multipliers to find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the given plane. x 3y 4z
I assume the given plane has equation
x + 3y + 4z = d
for some constant d ≠ 0.
You want to maximize the function V(x, y, z) = xyz subject to the above constraint. The Lagrangian would be
L(x, y, z, λ) = xyz - λ (x + 3y + 4z - d)
Find its critical points:
∂L/∂x = yz - λ = 0
∂L/∂y = xz - 3λ = 0
∂L/∂z = xy - 4λ = 0
∂L/∂λ = x + 3y + 4z - d = 0
The first three equations tell you that λ = yz = xz/3 = xy/4. Then, for instance,
yz = xz/3 → 3yz - xz = z (3y - x) = 0 → z = 0 or 3y - x = 0
If z = 0, we get zero volume which is not useful. So 3y = x. Similarly, you would find x = 4z and 3y = 4z, so a critical point occurs when x = 3y = 4z.
In the fourth equation, we get upon substituting
x + 3y + 4z = 3x = d → x = d/3, y = d/9, z = d/12
Then the largest volume of this box would be
V(d/3, d/9, d/12) = d ³ / 324
Select the correct answer.
Solve the exponential equation for x.
Answer:
r = -2
Step-by-step explanation:
Hope this helps :)
2) Dividing polynomial by using long division,
(x ^2+ 4x - 15) \(x-3)
What is the equation of the line in slope-intercept form?
Answer:
y = mx + b
Step-by-step explanation:
ons: Practice
Question 2 of 5
The expression below represents the amount owed on a loan over t years.
1,550(1.042)
Interpret the meaning of the expression.
O The initial loan amount is $1,550, and the interest growth rate is 1.042% per year.
The initial loan amount is $1,042, and the interest growth rate is 55% per year.
The initial loan amount is $1,042, and the interest growth rate is 1.55% per year.
The initial loan amount is $1,550, and the interest growth rate is 4.2% per year.
Answer:
the initial loan amount is $1,550, and the interest growth rate is 4.2% per year.
Step-by-step explanation: I just answered it.
Answer:
the answer is c
Step-by-step explanation:
for plato
1. Dicey Odds [2 Points]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 [tex]\frac{2}{3}[/tex] and the probability of rolling an even number is [tex]\frac{1}{3}[/tex] , 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}[ \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]