Answer:
ok....................
Step-by-step explanation:
10x + 38
40 + 7x
determine the value of x
Answer:
x= 2/3
Step-by-step explanation:
if they are equating,
10x +38 = 40+7x
10x-7x = 40-38
3x = 2
x= 2/3
Answer:
x = 0.6666666667
Step-by-step explanation:
Simplifying
10x + 38 = 40 + 7x
Reorder the terms:
38 + 10x = 40 + 7x
Solving
38 + 10x = 40 + 7x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7x' to each side of the equation.
38 + 10x + -7x = 40 + 7x + -7x
Combine like terms: 10x + -7x = 3x
38 + 3x = 40 + 7x + -7x
Combine like terms: 7x + -7x = 0
38 + 3x = 40 + 0
38 + 3x = 40
Add '-38' to each side of the equation.
38 + -38 + 3x = 40 + -38
Combine like terms: 38 + -38 = 0
0 + 3x = 40 + -38
3x = 40 + -38
Combine like terms: 40 + -38 = 2
3x = 2
Divide each side by '3'.
x = 0.6666666667
Simplifying
x = 0.6666666667
solve inequalities if all real- number values of x are solutions of the inequality, write true or false
Answer:
false
Step-by-step explanation:
because real number values of x are not the same
solve the following using the quadratic formula
10x^2-7x+5=0
a)-0.96 and -0.26
b)0.96 and -0.26
c)no solution
b)0.96 and 0.26
If longest out of a triangle is 3 inches longer than the shorter side. The medium size is 2 inches longer than the shorter side. If the perimeter is 26 inches, what are the length of the three sides
Answer:
Shortest side = 7 inches.
Medium side = 9 inches.
Longest side = 10 inches.
Step-by-step explanation:
Let the shortest side be x.
Translating the word problem into an algebraic equation, we have;
Shortest side = x
Medium side = x + 2
Longest side = x + 3
The perimeter of a triangle is given by the addition of all its three (3) sides.
Mathematically, the perimeter of a triangle is given by the formula;
[tex] P = A + B + C [/tex]
Substituting into the equation, we have;
26 = x + x + 2 + x + 3
26 = 3x + 5
3x = 26 - 5
3x = 21
x = 21/3
x = 7 inches.
Therefore, the length of the three sides are;
Shortest side = x = 7 inches.
Medium side = x + 2 = 7 + 2 = 9 inches.
Longest side = x + 3 = 7 + 3 = 10 inches.
A large school district held a district-wide track meet for all high school students. For the 2-mile run, the population of female students participating follows a Normal distribution and had a mean running time of 8.8 minutes with standard deviation of 3.3 minutes. The population of male students participating also follows a Normal distribution and had a mean running time of 7.3 minutes with standard deviation 2.9 minutes. Suppose 8 female students and 8 male students who participated in the 2-mile run are selected at random from each population. Let xF represent the sample mean running time for the female students, and let xM represent the sample mean running time for the male students. a. Find and interpret the mean and standard deviation of the sampling distribution of the difference in sample means xF − xM. b. Find the probability of getting a difference in sample means xF − xM that is less than 0.
Answer:
If the question has
What are the mean and standard deviation of the sampling distribution of the difference in sample means x¯F−x¯M ?
It is E
Step-by-step explanation:
AP classroom uses the example with different end questions.
The mean and standard deviation of the sampling distribution of the difference in sample means xF − xM is 1.5 minutes(mean) and 1.533 minutes(std. dev) approx The probability of getting a difference in sample means xF − xM that is less than 0 is 0.0239 approx.
What is the distribution of random variable which is sum of normal distributions?Suppose that a random variable X is formed by n mutually independent and normally distributed random variables such that:
[tex]X_i = N(\mu_i , \sigma^2_i) ; \: i = 1,2, \cdots, n[/tex]
And if
[tex]X = X_1 + X_2 + \cdots + X_n[/tex]
Then, its distribution is given as:
[tex]X \sim N(\mu_1 + \mu_2 + \cdots + \mu_n, \: \: \sigma^2_1 + \sigma^2_2 + \cdots + \sigma^2_n)[/tex]
For this case, it is given that:
Distribution of time taken for distance ran by female is Normal distribution and had a mean running time of [tex]\mu_F[/tex] = 8.8 minutes with standard deviation of [tex]\sigma_F[/tex] = 3.3 minutes.Distribution of time taken for distance ran by male is Normal distribution and had a mean running time of [tex]\mu_M[/tex] = 7.3 minutes with standard deviation of [tex]\sigma_M[/tex] = 2.9 minutes.Samples of size n = 8 are taken from both population.Estimated sample mean = population mean
Estimated sample standard deviation = population std. dev / √n
where n = sample size
Thus, we get:
[tex]\overline{x}_F = \mu_F = 8.8 \: \rm minutes[/tex][tex]s_F = \sigma_F/\sqrt{8} = 3.3/\sqrt{8} \approx 1.167 \: \rm minutes[/tex][tex]\overline{x}_M = \mu_M = 7.3 \: \rm minutes[/tex][tex]s_M = \sigma_M/\sqrt{8} = 2.9/\sqrt{8} \approx 1.053\: \rm minutes[/tex]For sample of females, the distribution is [tex]X_F \sim N(\overline{x}_F = 8.8, s_F = 3.3/\sqrt{8})[/tex]
For sample of males, the distribution is [tex]X_M \sim N(\overline{x}_M =7.3, s_M = 2.9/\sqrt{8})[/tex]
Also, if we take distribution of difference between sample means([tex]X_F - X_M = X_F + (-X_M)[/tex], then it would be normal with mean = 8.8-7.3 = 1.5 minutes (as mean for [tex]-X_F[/tex] will be -7.3 but same standard deviation) as factor gets squared for affecting standard deviation and variance)
and standard deviation is: [tex]s = \sqrt{s_F^2 + s_M^2} = \sqrt{3.3^2/8 + 2.9^2/8} \approx 1.553 \: \rm minutes[/tex]
The distribution of difference between sample means is [tex]X_F - X_M \sim N(\overline{x} = 1.5, s = 1.533)[/tex] approximately
We need [tex]P(X_F - X_M < 0)[/tex]
Converting this distribution to standard normal distribution, we get:
[tex]P(X_F - X_M < 0) = P(Z < \dfrac{0 - \overline{x}}{s} \approx -1.98)[/tex]
From the z-tables, we get the p value for Z = -1.98 as 0.0239
Thus, we get:
[tex]P(X_F - X_M < 0) = P(Z < \dfrac{0 - \overline{x}}{s} \approx -1.98) \approx 0.0239[/tex]
Thus, the mean and standard deviation of the sampling distribution of the difference in sample means xF − xM is 1.5 minutes(mean) and 1.533 minutes(std. dev) approx The probability of getting a difference in sample means xF − xM that is less than 0 is 0.0239 approx.
Learn more about standard normal distribution here:
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PLEASE HELP ASAP
What is the volume of the figure
Answer:
264 cubic cm
Step-by-step explanation:
(8x5x5)+(8x8x1)
(200)+(64)
Volume = 264 cubic cm
HELP ME DO THIS PLEASE IM STRESSING OUT
Answer:
36
Step-by-step explanation:
ik it bc im smart
How many real solutions are there to the equation x2 - 7x + 12 = 0?
о
оооо
но со
HURRYYYYY
When substituting 2x - 4 for y in the
second equation, what will the new
equation look like?
y = mx + b
y = 2x - 4
y = -3x + 1
2x - 4 = -3x + 1
Answer:
y=2x-4
Step-by-step explanation:
sorry if I get this wrong I'm slowly understanding slope intercept form
21. A right pyramid has a surface area of 258 cm-.
A right cone has a base radius of 4 cm. The
cone and pyramid have equal surface areas.
What is the height of the cone to the nearest
tenth of a centimetre?
Answer:
4/7 4 by 12
Step-by-step explanation:
1) Given two equations: 1) y = x - 3 and 2) y = -2x + 9. graph and state the point of
intersection below: *
Your answer
Answer:
1) y = - 3 and x = 3
2) x = 9/2 and y = 9
Step-by-step explanation:
Substitute x= 0 to find y and y=0 to find x
Help please!
Diana bought a total of 22 items including boxes of pizza and sodas for an upcoming event. Each box of pizza cost $8 and each soda cost $1.50. If Diana spent a total of $137, which of the following is a true statement?
A. Diana bought 16 boxes of pizza.
B. Diana bought more sodas than boxes of pizza.
C. Diana bought 6 boxes of pizza.
D. Diana bought an equal number of sodas and pizzas
Answer:
B. I think
Step-by-step explanation:
1.50 times 86 equals 129 witch would mean Diana bought 86 sodas
8 is equal to 1 pizza so Dianna could have bought 1 pizza
86>1
8+129 is 137 so I think the answer is B.
HELP I NEED HELP ASAP
9514 1404 393
Answer:
A. exponential; constant % rate of change
Step-by-step explanation:
Each round has 50% of the players of the previous round, so the rate of change is a constant percentage. That makes the function a decaying exponential function, matching choice A.
Write an equation of the line passing through the points (-4,13) and (8,-2)
Emanuel biked 6 3/4 miles, and Layla biked 4 1/2 miles.
How many times the length of
Layla's bike ride was Emanuel's bike ride?
Answer:
1 1/2 times more
Step-by-step explanation:
6.75 ÷ 4.5 = 1.5
In her first 20 games, Jennie served 4 aces. If she continues to serve aces at this rate, how many aces will she have after 160 games?
Answer:
32 aces
Step-by-step explanation:
4/20= x/160
once you set up this proportion you can cross multiple to get:
20x= 640
then just solve for x:
x= 32
please help with geometry! #9!!
Answer:
6, 7, 8 are correct
9. 2) TU = 58Step-by-step explanation:
[tex]XV=\dfrac{RS+TU}2\\\\\\44=\dfrac{30+TU}2\\\\44\cdot2=30+TU\\\\88-30=TU\\\\TU=58[/tex]
Given z1 = 9+9 (square root) 3i and z2 = 2+ (square root) 3i, what is z2-z1?
a) 8+7 (square root) 3i
b) -7-8 (square root) 3i
c) 7+10 (square root) 3i
d) -7+10 (square root) 3i
Answer:
B
Step-by-step explanation:
Answer:
Answer is B
Step-by-step explanation:
took the test edg2021
Solve for x.
−12x+13>35
Drag and drop a number or symbol into each box to correctly complete the solution.
less or greater than
Answer:
the answer is 4
Step-by-step explanation:i hope im right sry if im not
Find the missing angle? *
80 + 35 = 115
180 - 115 = 65
the answer is 65
HELPPPP!!!!!
A rare baseball card just sold for $12,000. Sports experts anticipate this baseball card to increase in value by 9%
each decade.
According to the experts, about how much should the baseball card be worth in 30 years?
The baseball card be worth in 30 years is: $159212.14
We have the following information available from the question is:
A rare baseball card just sold for $12,000
This baseball card to increase in value by 9%
each decade.
The principal = $12,000
Rate of interest (r) =9%
Time period (t) = 30 years
The number of times per year the interest is compounded (n) = 1
We know the formula is:
[tex]=P(1+\frac{r}{n} )^n^t[/tex]
Plug all the values, we get:
[tex]=12000(1+\frac{\frac{9}{100} }{1} )^3^0[/tex]
Then, Evaluate the equation/expression:
=> $159212.14
Learn more about Compound interest at:
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Please solve for x. Then, circle whether each angle pair is complementary or supplementary.
Answer:
This is complematry and x=7
Step-by-step explanation:its complematry because they both add up to make 90 degree angle right angle
8+5=13
90-13=77
3x+8x=11x
77 divided by 11x =7x
make sure to like and mark me the brainlest
please look at the image for the question thanks you.
Answer:
100 cal
Step-by-step explanation:
it says 100 calories on the top left
how many centimeters is the growth rate of the plant per week? Please i really need this. PICTURE WHEN YOU CLICK
Answer:
4 and 3/4 YOU GOT THIS!!
Step-by-step explanation:
Answer:
I believe the answer would be 1/2 a centimeter per week, hope this helps
nicole will rent a car for the weekend. she can choose one of two plans the first plan has an initial fee of $53 and cost an additional $0.08 per mile driven. the second plan has an initial fee of $48 and costs an additional $0.10 per mile driven.
?
Step-by-step explanation:
what's the question??
Pren recorded this data set, which contains an outlier.
204, 216, 111, 224, 230, 211, 210, 198, 200, 218
What numbers represent the range, lower quartile, and upper quartiles?
Answer:
111,200,204,210,211
Step-by-step explanation:
17/8x+3/4x+1/6-7/12x+18/3 simplify
Answer:
55x + 148/24
Explanation:
2(4x-1)+3=7
i'm little confused on this
Answer:
x = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Since you cannot subtract -1 from 4x, you multiply 2 × 4x = 8x
Now, you have 8x - 1 + 3 = 7
Seperate the 8x from the other numbers
8x = 1 - 3 + 7 ---> 6
8x = 6
Now simplify
x = [tex]\frac{6}{8}[/tex] <----- to reduce, divide the numerator and denominator by 2
Hence,
x = [tex]\frac{3}{4}[/tex]
Find the 7 term of the sequence 4, 24, 144,864,
Answer:
common ratio =24/4
common ratio=6
G7=4x(6)^6
G7=186624
Ciara is constructing a tangent line from a point outside the circle as shown. image Which of the following BEST describes the actions that should be in Step 2? A. Construct another circle centered about point B. B. Place point C on the circle and construct a line connecting points B and C. C. Construct the perpendicular bisector of line AB. D. Place point C on the circle and construct the angle bisector of ABC.
Answer:A
Step-by-step explanation:
