Answer:
y = 13
Step-by-step explanation:
Step 1: Distribute
3/2y - 3/2 = y + 5
Step 2: Subtract y on both sides
1/2y - 3/2 = 5
Step 3: add 3/2 on both sides
1/2y = 13/2
Step 4: Divide both sides by 1/2
y = 13
Answer:
y = 13.
Step-by-step explanation:
3/2(y-1) = y+5
3/2y - 3/2 = y + 5
3/2y - y = 5 + 3/2
1/2y = 6 and 1/2; 6.5; 13/2
y = 13.
To check out work...
3/2(13 - 1) = 13 + 5
3/2(12) = 18
3 * 6 = 18
18 = 18
On a number line, all you need to do is plot a point where it says 13. On a cartesian plane, you would have a horizontal line that expands infinitely in each direction, where y = 13.
Hope this helps!
PLEASE HELP ME LAST QUESTION!!!!!!
Answer:
Angle 5
Step-by-step explanation:
Answer:
Angle 5
Step-by-step explanation:
Angle 8 is across from angle 5 meaning they have the same degrees.
If my score goes up 20,000 a day how long will it take me to reach 2,000,000
Answer:
It would take 100 days
Step-by-step explanation:
2,000,000 divided by 20,000 equals 100
So it would take 100 days
The police department uses a formula to determine the speed at which a car was going when the driver applied the breaks, by measuring the distance of the skid marks.The equation d=0.03r^2+r models the distance, d, in feet, r miles per hour (r is the speed of the car) Factor the equation. d=?
Answer:
0.03 feet
Step-by-step explanation:
d = 0.03r² + r
When d = 0: 0.03r² + r = 0
r(0.03r + 1) = 0
∴ r = 0
When r = 0: d = 0.03 feet
Mrs. Brown has 11 more boys than girls in her class and has a total of 28 students. Which of the following systems of equations could be used to solve this problem?
Answer:
g=number of girls in the class b=number of boy in the class
g+b=28
g=11+b
Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean mu equals 247 days and standard deviation sigma equals 16 days. Complete parts (a) through (f) below.
Answer:
The answer is given below
Step-by-step explanation:
a) What is the probability that a randomly selected pregnancy lasts less than 242 days
First we have to calculate the z score. The z score is used to determine the measure of standard deviation by which the raw score is above or below the mean. It is given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Given that Mean (μ) = 247 and standard deviation (σ) = 16 days. For x < 242 days,
[tex]z=\frac{x-\mu}{\sigma}=\frac{242-247}{16}=-0.31[/tex]
From the normal distribution table, P(x < 242) = P(z < -0.3125) = 0.3783
(b) Suppose a random sample of 17 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies.
If a sample of 17 pregnancies is obtained, the new mean [tex]\mu_x=\mu=247,[/tex] the new standard deviation: [tex]\sigma_x=\sigma/\sqrt{n} =16/\sqrt{17} =3.88[/tex]
c) What is the probability that a random sample of 17 pregnancies has a mean gestation period of 242 days or less
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{242-247}{16/\sqrt{17} }=-1.29[/tex]
From the normal distribution table, P(x < 242) = P(z < -1.29) = 0.0985
d) What is the probability that a random sample of 49 pregnancies has a mean gestation period of 242 days or less?
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{242-247}{16/\sqrt{49} }=-2.19[/tex]
From the normal distribution table, P(x < 242) = P(z < -2.19) = 0.0143
(e) What might you conclude if a random sample of 49 pregnancies resulted in a mean gestation period of 242 days or less?
It would be unusual if it came from mean of 247 days
f) What is the probability a random sample of size 2020 will have a mean gestation period within 11 days of the mean
For x = 236 days
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{236-247}{16/\sqrt{20} }=-3.07[/tex]
For x = 258 days
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{258-247}{16/\sqrt{20} }=3.07[/tex]
From the normal distribution table, P(236 < x < 258) = P(-3.07 < z < 3.07) = P(z < 3.07) - P(z < -3.07) =0.9985 - 0.0011 = 0.9939
I'll always give away 5 stars, thanks and Brainliest to the answer that's correct!
Naruto has a baseball card that is worth $45. The value of the card is increasing at the rate of 1.5% per year. How much will the card be worth in 15 years?
A: $366.17
B: $56.26
C: $89.21
D: $263.97
Answer:
a I believe sorry if I'm wrong
Answer:
I think its B: $56.26
first chance you get the best marks
Answer:
First box and last box.Step-by-step explanation:
It is the first box.Distribute 7 to the first number
7 * -3/4 = -21/4
-21/4 = 5 -1/4
Distribute 7 to the second number
7 * -3
= -21
Put the numbers together
5 -1/4x -21 is the answer.It is also the last box.They separated the parenthesis.
So it is still 7 * -3/4
and
7*-3.
Hope this helps,
Kavitha
Find the difference.
(3x4 - 5x2 - 4)-( 2x3 x2 + 1)
w
3x4 - 2x3 - 4x2-5
a
Answer:
(3x4 - 5x2 - 4)-( 2x3 x2 + 1) is equals to -15
3x4 - 2x3 - 4x2-5 is equals to -7
Step-by-step explanation:
1.) (3x4 - 5x2 - 4)-( 2x3 x2 + 1)
3 x 4 = 12 5 x 2 = 10 12 - 10 = 2 2 - 4 = -2
2 x 3 = 6 6 x 2 = 12 12 + 1 = 13
-2 - 13 = -15
2.)3x4 - 2x3 - 4x2-5 is eaquals to -7
3 x 4 = 12 2 x 3 = 6 12 - 6 = 6 4 x 2 = 8
6 - 8 = -2 -2 - -5 = -7
Those were my answers
A company rounds its losses to the nearest dollar. The error on each loss is independently and uniformly distributed on [–0.5, 0.5]. If the company rounds 2000 such claims, find the 95th percentile for the sum of the rounding errors.
Answer:
the 95th percentile for the sum of the rounding errors is 21.236
Step-by-step explanation:
Let consider X to be the rounding errors
Then; [tex]X \sim U (a,b)[/tex]
where;
a = -0.5 and b = 0.5
Also;
Since The error on each loss is independently and uniformly distributed
Then;
[tex]\sum X _1 \sim N ( n \mu , n \sigma^2)[/tex]
where;
n = 2000
Mean [tex]\mu = \dfrac{a+b}{2}[/tex]
[tex]\mu = \dfrac{-0.5+0.5}{2}[/tex]
[tex]\mu =0[/tex]
[tex]\sigma^2 = \dfrac{(b-a)^2}{12}[/tex]
[tex]\sigma^2 = \dfrac{(0.5-(-0.5))^2}{12}[/tex]
[tex]\sigma^2 = \dfrac{(0.5+0.5)^2}{12}[/tex]
[tex]\sigma^2 = \dfrac{(1.0)^2}{12}[/tex]
[tex]\sigma^2 = \dfrac{1}{12}[/tex]
Recall:
[tex]\sum X _1 \sim N ( n \mu , n \sigma^2)[/tex]
[tex]n\mu = 2000 \times 0 = 0[/tex]
[tex]n \sigma^2 = 2000 \times \dfrac{1}{12} = \dfrac{2000}{12}[/tex]
For 95th percentile or below
[tex]P(\overline X < 95}) = P(\dfrac{\overline X - \mu }{\sqrt{{n \sigma^2}}}< \dfrac{P_{95}- 0 } {\sqrt{\dfrac{2000}{12}}}) =0.95[/tex]
[tex]P(Z< \dfrac{P_{95} } {\sqrt{\dfrac{2000}{12}}}) = 0.95[/tex]
[tex]P(Z< \dfrac{P_{95}\sqrt{12} } {\sqrt{{2000}}}) = 0.95[/tex]
[tex]\dfrac{P_{95}\sqrt{12} } {\sqrt{{2000}}} =1- 0.95[/tex]
[tex]\dfrac{P_{95}\sqrt{12} } {\sqrt{{2000}}} = 0.05[/tex]
From Normal table; Z > 1.645 = 0.05
[tex]\dfrac{P_{95}\sqrt{12} } {\sqrt{{2000}}} =1.645[/tex]
[tex]{P_{95}\sqrt{12} } = 1.645 \times {\sqrt{{2000}}}[/tex]
[tex]{P_{95} = \dfrac{1.645 \times {\sqrt{{2000}}} }{\sqrt{12} } }[/tex]
[tex]\mathbf{P_{95} = 21.236}[/tex]
the 95th percentile for the sum of the rounding errors is 21.236
How many 4-digit numbers divisible by 5, all of the digits of which are odd, are there?
Answer:
I guess that we want to create 4 digit numbers that are divisible by 5, only using the odd numbers in the image.
We know that a number is divisible by 5 only if the last digit (the units digit) is a zero or a five, in the image we only have a five, so our 4-digit numbers need to end with a five, so we have a digit fixed in five and the other 3 digits can be other numbers.
We have two different approaches to this:
First, if each odd number can be used only once, we already used the five, so we can use the other 4 numbers.
Then, for the first digit, we have 4 options.
for the second digit, we have 3 options (because we already used one)
for the third digit, we have 2 options (because we already used 2)
then the number of combinations is equal to the product of the number of options for each selection:
C = 4*3*2 = 24 combinations.
The second approach is If the numbers in the image can be repeated (for example, 5555 or 3435 are allowed)
we still have our last digit fixed in 5, and for the first digit we have 5 options, for the second we also have 5 options, and for the third, we also have 5 options, then, with the same reasoning as above, we have:
C = 5*5*5 = 25*5 = 125 combinations.
simplifica: 49/90, se puede????
Answer:
49/90 is simplified
Step-by-step explanation:
Answer:
Step-by-step explanation:
49/90
Graph the relation shown in the table. Is the relation a function? Why or why not? {(-1, 9), (0, -1), (-1, 4), (4, 9)}
Answer:
Not a function
Step-by-step explanation:
For an equation to be a function, there should be only one y-coordinate per x-coordinate. Since this relation has both (-1,9) and (-1,4), this is not a function.
Answer:not a function
Step-by-step explanation:
because when you put the points on the coordinate plane your shape will come out as a v shaped object. In mathematics, a function is a binary relation over two sets that associates to every element of the first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers
Avery wants to buy a car and has a choice between two different banks. One bank is offering a simple interest rate of 3.2% and the other bank is offering a rate of 3% compounded annually. If Avery decides to deposit $7,000 for 5 years, which bank would be the better deal? 1. a simple interest rate of 3.2% 2. a compound interest rate of 3%
Answer: a simple interest rate of 3.2% will be the better deal.
Step-by-step explanation:
Hi, to answer this question we have to apply the compounded interest formula:
A = P (1 + r/n) nt
Where:
A = Future value of investment (principal + interest)
P = Principal Amount
r = Nominal Interest Rate (decimal form, 3/100= 0.03)
n= number of compounding periods in each year (1)
Replacing with the values given
A = 7000 (1+0.03/1)^(1x5)
A = 7000( 1.03)^5 = $8,114.92
For simple interest:
I = p x r x t
Where:
I = interest
Replacing with the values given:
I = 7000 x (3.2/100) x 5 = $1,120
Adding the principal amount: 7000+1120 = $8,120
Since 8,120 (simple) >8,114.92(compound)
a simple interest rate of 3.2% will be the better deal.
Which statement is true about the equations –3x + 4y = 12 and 1/4x-1/3y=1
Answer: No solution
Step-by-step explanation:
This system of equation has no solution because...
-3x+4y=12
1/4x-1/3y=1
[tex]-3x+4y-4y=12-4y[/tex]
[tex]-3x=12-4y[/tex]
[tex]\frac{-3x}{-3}=\frac{12}{-3}-\frac{4y}{-3}[/tex]
[tex]\frac{12}{-3}-\frac{4y}{-3}[/tex]
[tex]x=-\frac{12-4y}{3}[/tex]
substitute
[tex]\frac{1}{4}\left(-\frac{12-4y}{3}\right)-\frac{1}{3}y=1[/tex]
[tex]-1=1[/tex]
-1=1 is false so therefore this system has no solution
the
square
(5x² + 6xy)²
is
Answer:
[tex] {25x}^{4} + 60 {x}^{3} y + 36 {x}^{2} {y}^{2} [/tex]
Step-by-step explanation:
[tex](5 {x}^{2} )^{2} + 2 \times 5 {x}^{2} \times 6xy + (6xy)^{2} [/tex]
Gives the above answer
Answer:
in the picture
Step-by-step explanation:
this diagram shows a scale drawing of a playground the scale is ___ 1:500 work out the perimeter of the real playground give your answer in meters
Answer:
The perimeter of the actual playground is 22000 units
Step-by-step explanation:
By measurement, the width of the scale drawing = 16 units
The breadth of the scale drawing = 6 units
Therefore, given that the scale is 1:500, we have that the actual dimensions of the playground are;
Actual width of the playground = 500×16 = 8,000 units
Actual breadth of the playground = 500×6 = 3,000 units
Therefore;
The perimeter of the actual playground = 2 × 8000 + 2 ×3000 = 22000 units.
What is the range? Explain
Answer:
Range = [5, ∞)
Step-by-step explanation:
The initial number of snakes is 5 and it is increasing at a high rate so the maximum number is infinite. The population is increasing exponentially according to the equation P = 5(2)^t where t = the number of years.
Five submarines sink on the same day, and all five go down at the same spot where a sixth had previously sunk. How might they all lie at rest so that each submarine touches the other five? To simplify, arrange six wooden matches so that each match touches every other match. No bending or breaking allowed.
Answer:
picture is attached
Step-by-step explanation:
there are many options but this is one
Which of the following investments could be represented by the function A = 250(1 + 0.08/12)12 × 4?
hello,
the first term is 250 so this is the initial invested amount
[tex](1+\dfrac{0.08}{12})^{12}=(1+\dfrac{8\%}{12})^{12}[/tex]
is to compute 8% annual interest compounded monthly (there are 12 months in a year)
and then multiply by 4 means that it is computed for 4 years so
finally the answer is
$250 is invested at 8% annual interest compounded monthly for 4 years
hope this helps
Which equation represents a graph with a vertex at (-1,6)?
Answer:
B. [tex]y = 3x^2 -6x -3[/tex]
Step-by-step explanation:
Well, we can use the following formula to find the x coordianate of the vertex -b / 2a.
So let’s start with a)
-6 / 6
-1
A. is wrong because its vertex starts with -1.
b)
6 / 6
1
now that we have our x coordinate we can plug it into the equation to get our y.
3 - 6 - 3
So the y coordinate is -6.
Hence, the answer choice B. [tex]y = 3x^2 -6x -3[/tex]
look at the image below.
If you are given the graph of h(x) = log6x, how could you graph M(x) = log6(x+3)?
Answer:
Translate 3 units to the left
Step-by-step explanation:
Simple and easy question
please help
Answer:
Volume of a sphere = 4/3πr³
π = 3.14
r = radius which is 3in
Volume = 4/3 × 3.14 × 3²
= 37.68
= 38 cubic inches to the nearest hundredth
Hope this helps
Answer:
38 cubic inches
Step-by-step explanation:
between which to whole numbers does the square root of 37 lie?
Between 6 and 7
6×6=36
7×7=49
hopefully this helped
The number √37 is lies between whole numbers 6 and 7.
We have to given,
A number is, √37
By the definition of square root, we get;
⇒ √37 = 6.08
And, We know that,
Number 6.08 is lies between whole number 6 and 7.
Hence, We get;
⇒ 6 < √37 < 7
Therefore, The number √37 is lies between whole numbers 6 and 7.
Learn more about Number system visit:
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PLZ HELP!!!!WILL MARK BRAINLIEST AND 20 POINTS!!!
Answer: Find a common denominator on the right side of the equation
Step-by-step explanation:
You can see that they found the common denominator of 4 therefore that is the correct answer
The sides of an equilateral triangle measure 16 inches. The midpoints of the sides of the triangle are joined to form another equilateral triangle with sides that are half the length of the outer triangle. This process is continued until three triangles are inscribed in the first triangle. The sum of the perimeters of all four triangles is
Answer:
90 inches
Step-by-step explanation:
The perimeter of the inscribed triangle is 1/2 that of the enclosing triangle. So, the total of perimeters is ...
(3·16 in)(1 +1/2 +1/4 +1/8) = (48 in)(15/8) = 90 inches
how to find the angel in trigonometry when all the lengths of the right angled triangle already given.
Answer:
The three trigonometric ratios can be used to calculate the size of an angle in a right-angled triangle
Use rule ; SOHCAHTOA .Where sin x = opp/hyp
cos x = adj/hyp
tan x= opp/adj
Substitute the given values for the three sides
into any of the above rules
[tex]example = Hyp = 2\\opp = 1\\sin- x = 1/2\\x = sin^{-1} 1/2\\x = 30[/tex]
Step-by-step explanation:
I Hope It Helps :)
What is the value for y? Enter your answer in the box. y = An isosceles triangle A B C with horizontal base A B and vertex C is below the base. Side A C and C B are labeled with single tick mark. All the three angles are labeled. Base angles C A B is labeled as 34 degrees and angle C B A is labeled as left parenthesis x minus 5 right parenthesis degrees. The angle A C B is labeled as 4y degrees.
Answer:
28.
Step-by-step explanation:
I just did the question and I got it right. The answer above is right. The image below is where I did the question and has the picture attached next to it too.
*And I accidentally clicked the one star option, that's why it has such a low score.
An isosceles triangle is a triangle where two sides are equal and the angles opposite to the sides are also equal.
The value of y is 28.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
An isosceles triangle is a triangle where two sides are equal and the angles opposite to the sides are also equal.
m∠CAB = 34
m∠CBA = x - 5
m∠ACB = 4y
Triangle ABC is an isosceles triangle.
AC and BC are sides are equal.
This means,
m∠CAB = m∠CBA
34 = x - 5
34 + 5 = x
x = 39
Now,
The sum of the angles in a triangle is 180 degrees.
This means,
34 + (x -5) + 4y = 180
34 + (39 - 5) + 4y = 180
34 + 34 + 4y = 180
68 + 4y = 180
4y = 180 - 68
y = 112 / 4
y = 28
We can cross-check.
34 + 34 + 4 x 28 = 180
34 + 34 + 112 = 180
180 = 180
Thus,
The value of y is 28.
Learn more about triangles here:
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y=(x+9)÷(x-3)
Find the value of y when x=5
solution,
X=5
[tex]y = \frac{x + 9}{x - 3} \\ = \frac{5 + 9}{5 - 3} \\ = \frac{14}{2} \\ = 7[/tex]
hope this helps...
Good luck on your assignment..
Answer:
When x=5
Y=(5+9)÷(5-3)
= 14 ÷2
= 7
PLEASE HELP ASAP SHOE YOUR WORK!!!! Best answer gets brainliest :)
Answer:
Height = 3cm
Volume = 50.27cm^3
Step-by-step explanation:
Well to solve for the height with slant height and radius we can use the Pythagorean Theorem,
Which is [tex]a^2 + b^2 = c^2[/tex].
So we have c and a, so we have to fill those in.
(4)^2 + b^2 = (5)^2
16 + b^2 = 25
-16
b^2 = 9
[tex]\sqrt{b} \sqrt{9}[/tex]
b = 3cm
So to find the volume of a cone we use the following formula [tex]\pi r^2 \frac{h}{3}[/tex].
So we have the radius and height so we just fill those in.
(pi)(4)^2(3)/3
(pi)16(1)
pi*16
About 50.27cm^3
The question is in the image below.
The fourth:
The second equation in system 2 is the difference of the equations in system 1. The first equation in system 2 is the first equation in system 1.
Ax + By - (Lx + My) = Ax + By - Lx - My = (A - L)x + (B - M)y
Answer:
The answer is __
because of __
Step-by-step explanation: