Answer:
y= .75x + 3.75
Step-by-step explanation:
1. Distribute x:
Original Equation= y-2.25=.75(x-8)
So you just do .75 times x and .75 times -8= .75x - 6
2. Isolate the y Variable:
Add 2.25 to both sides. So -6 + 2.25= 3.75
Now you have left y= .75x + 3.75
3/7 times 13 as a mixed number
Answer:
[tex]5\frac{4}{7}[/tex]
Step-by-step explanation:
Peter says, "If you subtract 19 from my number and multiply the difference by -3, the result is
- 21." What is Peter's number?
Peter's number is?
Answer:
26
Step-by-step explanation:
Let the peter's number be represented x
Given that
1. if you subtract 19 from my number
writing it mathematically it will be x -19
2. multiply the difference by -3
it can be written as
since difference is x-19
multiplied the difference with -3
-3(x-19)
3. the result is -21
-3(x-19) = -21
dividing both side by -3
-3(x-19)/-3 = -21/-3
x-19 = 7
adding 19 both sides
x-19 + 19 = 7 + 19
x = 26
Thus, peter's number is 26.
A bakery offers a sale of 3.50 for 6 muffins what’s is the price per dozen
g You measure 40 textbooks' weights, and find they have a mean weight of 73 ounces. Assume the population standard deviation is 11.7 ounces. Based on this, construct a 99% confidence interval for the true population mean textbook weight.
Answer:
The confidence interval is 73 ± 4.8
Step-by-step explanation:
Here, we want to construct a 99% confidence interval
Mathematically;
mean ± Z * S.D/√n
From the question
mean = 73
SD = 11.7 ounces
Z score = 2.576 for 99% Confidence interval
n = sample size = 40
Thus;
73 ± (2.576 * 11.7)/√40
73 ± 4.8
So the range of values are;
73 + 4.8 and 73-4.8
= 77.8 and 68.2
The lower boundary is 68.2
The upper boundary is 77.8
Celesta wants to go on a cruise in three years. She could earn 8.2 percent compounded monthly in an account if she were to deposit the money today. She needs to have $10,000 in three years. How much will she have to deposit today
Given:
Amount after three years = $10000
Rate of interest = 8.2 percent compounded monthly = 0.082
Time = 3 years
To find:
The principal value.
Solution:
Formula for amount is
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
where, P is principal, r is rate of interest, n is the number of times interest compounded in an year, t is number of years.
Substitute A=10000, r=0.082, n=12 and t=3 in the above formula.
[tex]10000=P\left(1+\dfrac{0.082}{12}\right)^{12(3)}[/tex]
[tex]10000=P\left(1+\dfrac{41}{6000}\right)^{36}[/tex]
[tex]10000=P\left(\dfrac{6041}{6000}\right)^{36}[/tex]
[tex]10000=P(1.27783)[/tex]
Divide both sides by 1.27783.
[tex]\dfrac{10000}{1.27783}=P[/tex]
[tex]7825.76712=P[/tex]
[tex]P\approx 7825.767[/tex]
Therefore, today she have to deposit $7825.767.
find the value of x
Answer:
141°
Step-by-step explanation:
The angle given is 39°;
Since this problem deals with angles in a transversal, it is easy to solve.
Now;
Angle given is a corresponding angle to the angle a;
Corresponding angles are equal; so angle a = 39°
Also,
angle a is corresponding to angle b;
angle b = 39°
So, angle b and x are on a straight line;
b + x = 180
x = 180 - 39 = 141°
Evalute each expression for s=4 and t=8
1) (s+t)^3
2) s^4+t^2+5/2
3) (st)^2/(st^2)
Answer:
1) 1728
2)322.5
3)4
............
find the trig value (with work)
Answer: B (4/5)
Step-by-step explanation:
SOH CAH TOA
T = opposite/hypotenuse
Opposite = 32
Hypotenuse = 40
Simplify 32/40 = 4/5
what's
b-a=
c-b=
im confused someone help pleaseee
Answer: n minus c would equal c c minus b would equal z
Step-by-step explanation:
It takes 5 quarts of water with 12 lemons to make lemonade. How many lemons would you need for
15 quarts of water?
Answer:
36 lemons
Step-by-step explanation:
You would need 36 lemons for 15 quarts of water because for every 5 quarts of water, it takes 12 lemons. 15 quarts is 3x5 quarts, and 12x3=36 lemons. Hope it helps!
This is a fast question i will give you brainlest if you annswer this question What is elapsed time also what 100 ÷ 300 no rush just try yiur best. Thank you
Answer:
100÷300 =3 I know only this answer
How centimetres in 1 meter
Answer:
there is 100 cm in a meter
Step-by-step explanation:
what is 4/6+2/3.?(these are fractions, you're just adding fractions)
Answer:
4/3
Step-by-step explanation:
Multiply 2 by 2, and get 4, then we multiply 3 by 2 and get 6.
Since our denominators match, we can add the numerators. 4 + 4 = 8. That gives us the sum, which is 8/6. Then you divide by 2. So 8/6 / 2 gives you 4/3.
Answer:
4/3 or 1 1/3
Step-by-step explanation:
1. 4/6 + 2/3
2. 4/6 + 4/6 You have to find the LCM (least common multiple) of the two denominators. In this case it would be 6. You have to multiply 3 by 2 to get 6. What you do to the bottom you also do to the top so you have to also multiply the numerator (2) by 2.
3. 4/3 or 1 1/3 Afterward, you just have to add straight across without changing the denominator and then if you need to simplify you simplify. Without simplifying, you would get 8/6, but, most teachers will mark it as wrong if you don't simplify. You can then change the improper fraction into a mixed number depending on what your teacher wants.
Please answer question a & b.
a) Work out the following:
3/4 - 7/9 + 2
b). Which is the largest of the following numbers?
0.1, 0.02, 0.003, 0.0004, 0.00005
Please help due today.
Answer:
a)
b)0.1
pls refer to the pic
apply the distrubtive property to simply the expression -3(6x+ 2)
Answer: -18x-6
Step-by-step explanation:
You're just multiplying the number outside of the parenthesis (-3) by the coefficients (number by X) and the constants (numbers without a variable by them).
-3 x 6 = -18
-3 x 2 = -6
(+ -6 can be written as -6)
16B+3.5W = 22 Antoine bikes part of the way on a 22 mile trail and walks the rest of the way. If he spends B hours biking and W hours walking, the trip is modeled by the equation shown above. What is the meaning of the 16B in the equation?
Answer:
Antoine bikes for 16B miles before starting his walk.
Step-by-step explanation:
16 is that speed which is covered in B hours by bike by Antoine
What is speed?Speed is defined as The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.
Speed = [tex]\frac{distance}{time}[/tex]
Given,
16B+3.5W = 22 an equation in which B is time covered by bike and W is time covered by walk
Antoine travels partially by bike and partially by walk, and total covered 22
That means 16B is the distance covered by bike, and 16 is its speed.
Hence, 16 is that speed which is covered in B hours by bike.
Learn more about speed:
https://brainly.com/question/7359669
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i need help solving for x
PLEASE HELP ME ASAP!!!! I WILL GOVE BRAINLIEST!!!
Answer:
Step-by-step explanation:
try a none of them match because if you add 35 and 7 to each side none of them match up but the first is the closest
What’s the ratio 217:279 simplified
Answer:
666:999
Step-by-step explanation:
olyiuuuyyiuuuuuu
f(x) = -x^2+10x-6
Find f(-5)
9514 1404 393
Answer:
f(-5) = -81
Step-by-step explanation:
Put -5 where x is and do the arithmetic.
f(-5) = -(-5)^2 +10(-5) -6
f(-5) = -25 -50 -6
f(-5) = -81
Answer:
-81
Step-by-step explanation:
set of cards contains cards numbered 1 – 8. Mrs. Jacob’s class is conducting an experiment in which a card is drawn from the pile, the number is recorded, and then the card is returned to the set. The class will conduct 1,000 trials. Based on the theoretical probability, which is the best prediction for the number of times a 4 will be drawn from the pile?
111
125
143
250
Answer:
125
Step-by-step explanation:
The theoretical probability is 1/8 and (1/8)*1000=125
Answer:
b
Step-by-step explanation:
got it right
finding the slope
(-2,-2) , (11,-10)
Consider the accompanying set of dependent and independent variables. The variable x3 is qualitative with H=High, M=Medium, and L=Low. Complete parts a and b below.
y 63 53 77 53 38 43 34 20 13
x1 45 42 40 37 27 24 20 14 12
x2 74 62 80 53 42 48 35 16 13
x3 H H L M H M L L M
Required:
a. Using technology, construct a regression model using all three independent variables.
b. Complete the regression equation for the model below, where x3 represents the dummy variable Cond1, and x4 represents the dummy variable Cond2.
y= ____ + (____)x2+ (____)x3 + (____)x4
Answer:
Y = 6.6406 + 0.2068x2 + 0.7995x3 - 3.607x4
Step-by-step explanation:
y 63 53 77 53 38 43 34 20 13
x1 45 42 40 37 27 24 20 14 12
x2 74 62 80 53 42 48 35 16 13
x3 H H L M H M L L M
For regression analysis : all variables must be quantitative ;
X3 variable may be represented as thus;
L = 1 ; M = 2 ; H = 3
Hence ;
X3 = 3 3 1 2 1 2 1 1 2
y= ____ + (____)x2+ (____)x3 + (____)x4
Using the online multiple regression calculator :
Y = 6.6406 + 0.2068x2 + 0.7995x3 - 3.607x4
From the general formular of a linear model:
y = w1x1 + w2x2 +... + wnxn + c = 0
Where c = intercept
w1,.. wn = weight of explanatory variable
Hence, the weights of x2 = 0.2068
Weight of x3 = 0.7995
Weight of x4 = - 3.607
Intercept = 6.6406
1. Maya has 24 baseball cards, and her grandfather gives her 6 baseball cards per week for earning good grades. Her brother, Marcus, has 0 baseball cards, but his grandfather gives him 12 baseball cards per week. After how many weeks will Maya and Marcus have the same number of baseball cards?
What is 0.8 as a fraction???? Plz answer is u r right I’ll give u brainliest!!!!
#IfWrongPleaseReport
#StudyTogetherWithMe
#ILoveMath
Answer:
the answer is 4/5
Step-by-step explanation:
convert to a simplified fraction by placing the numbers to the right of the decimal over 10. then reduce the
fraction.
Simplest form of 14/63
Answer:
2/9
Step-by-step explanation:
Answer:
2/9
Step-by-step explanation:
the martin family‘s truck gets an average of 25 miles per gallon. Predict how many miles they can drive using 7 gallons of gas.
Answer:
175
Step-by-step explanation:
7 times 25=175
so far 72 % of 300 tickets have been sold for the concert. How many tickets have been sold?
Answer:216 tickets
Step-by-step explanation
g explain the central limit theorem. Describe an experiment that could be used to verify the central limit theorem.
Answer:
Throughout the clarification segment elsewhere here, the definition of it's concern is mentioned.
Step-by-step explanation:
Central theorem:
Once we take repeated samples from some kind of particular group, the central limit theorem shows us precisely whatever the form including its distribution implies. Accurately, the distributions of means determined via repeated measurements can reach normality as when the small samples get bigger.Statement:
If x would be any distribution of random sample 30 more wide with either a mean = [tex]\mu[/tex]
standard deviation = [tex]\sigma[/tex]
After which [tex]\bar{x}}[/tex] would have had a roughly normal distribution which
mean = [tex]\mu[/tex] and
default variance = [tex]\frac{\sigma}{\sqrt{n}}[/tex]
Help!!! Write the equation of the parabola in vertex from
Answer:
[tex]y=-\,(x+1)^2+3[/tex]
Step-by-step explanation:
Notice that the vertex of the parabola is at (-1, 3), so we can start the expression of the quadratic in vertex form as:
[tex]y=a\,(x--1)^2+3\\y = a\,(x+1)^2+3[/tex]
we can now find the coefficient "a" by using another point the parabola goes through, like for example (0,2):
[tex]y = a\,(x+1)^2+3\\2=a\,(0+1)^2+3\\2=a+3\\a=2-3\\a=-1[/tex]
So the final expression for the parabola in vertex form is:
[tex]y=-\,(x+1)^2+3[/tex]