Answer:
0.25x + y = 12
Step-by-step explanation:
I am hoping that these steps will be self-explanatory, as I am not quite sure how to explain writing an equation:
0.25x + y = 12
Hope this helps :)
helllllllllllllpppppppppppp me plz *waves* hiiiiiiiiiiiii
Answer:
x=18 and y=72
Step-by-step explanation:
Answer:
d is right
Step-by-step explanation:
The radicand is the value inside of the radical.
O True
O False
Answer: TRUE
Step-by-step explanation:
You have seven bags of gold coins. Each bag has the same number of gold coins. One day, you find a bag of 53 coins. You decide to redistribute the number of coins you have so that all eight bags you hold have the same number of coins. You successfully manage to redistribute all the coins, and you also note that you have more than 200 coins. What is the smallest number of coins you could have had before finding the bag of 53 coins
The smallest number of coins you could have had before finding the bag of 53 coins is 371. which is more than 200.
There are seven bags, so there are 7x coins in total:
7x = T.
Since the number of coins in each bag must be an integer, (T + 53) must be a multiple of 8. We know that T = 7x, so we can write this as follows:
(7x + 53) ≡ 0
(mod 8)This means that 7x ≡ 3 (mod 8).
The solutions to this congruence are
x ≡ 3, 11 (mod 8).
Since x is a positive integer, we take
x = 11
(the other possibility, x = 3,
leads to a smaller value for T).
Therefore, T = 7x = 77, and the total number of coins after the bag of 53 coins is found is
T + 53 = 130.
After redistributing the coins into eight equal bags, each bag contains 16 coins.
Therefore, the number of coins you had initially was
7x = 77,
so the smallest number of coins you could have had before finding the bag of 53 coins is
77 - 53 = 24.
After redistributing the coins, you had
8 × 16 = 128 coins left,
To know more about number visit:
https://brainly.com/question/3589540
#SPJ11
A letter from the word MATH is chosen at random, then a coin is flipped. What is the probability of choosing the letter 'm' then getting tails?
Answer:
1/4 * 1/2 = 1/8
Step-by-step explanation:
1/4 chance of choosing an 'm'
1/2 chance of getting tails
Probability of both events = 1/4 * 1/2 = 1/8
American ladybugs have an average adult length of 1 cm with a known standard deviation of 0.2 cm. The population of American ladybugs in Raleigh was around 440000 last spring. Assume a normal distribution for the lengths of adult American ladybugs. Your niece asks you what's the probability of a random ladybug in Raleigh being bigger than 1.5 cm. Is it appropriate to calculate this probability? Select one:
a. No, because the population distribution is skewed. b. No, because the sample size is less than 30. c. No, because the empirical rule is violated.
Therefore, probability solution is estimating this likelihood without additional data or analysis is inappropriate correct response is option a.
What exactly does the probability entail?The main goal of the mathematical branch known as statistical inference is to estimate the likelihood that a statement is accurate or that a particular event will take place. Any number among 0 and 1, where 1 typically denotes confidence and 0 typically denotes possibility, can be used to symbolise chance. A probability diagram illustrates the likelihood that a particular occurrence will take place.
Here,
Because of the skewed demographic distribution, the right response is (a).
We could use the normally distributed to compute probabilities because the length of adult American ladybirds is distributed normally with a known standard deviation. The normal distribution may not, however, correctly depict the distribution of ladybird lengths in the population due to the skewed population distribution.
Furthermore, even if the difference between the actual community mean and the assumed mean of 1 cm is tiny, the given size of the population of 440000 could result in a statistically significant outcome.
However, because the assumption of normality may not hold true, this does not imply that we can accurately determine the likelihood of a random ladybird in Raleigh being larger than 1.5 centimetres.
Therefore, estimating this likelihood without additional data or analysis is inappropriate.
To know more about probability visit:
https://brainly.com/question/11234923
#SPJ4
A blue chip company that makes computer chips found that 2 out of
every 300 chips are defective. What is the percentage of the defective
chips?
RE
со
Answer: Approximately 0.667%
Work Shown:
2/300 = 1/150 = 0.00667 = 0.667%
So less than 1% of the chips are defective.
I kinda need help : /
Answer:
24 square units
Step-by-step explanation:
There are a couple of ways you can figure the area of the frame:
subtract the inner area from the outer areamultiply the width of the frame by the length of its centerline__
SubtractThe dimensions of the outer rectangle are twice the frame width plus the dimensions of the inner rectangle. That makes them 8 wide by 6 high. Then the difference of areas is ...
A = (8)(6) -(6)(4) = 48 -24 = 24 . . . . square units frame area
__
Width by LengthThe centerline of the frame is a rectangle with 1 unit greater length and width than the inner rectangle. It is 7 units by 5 units, so will have a perimeter of ...
P = 2(L+W) = 2(7+5) = 24 . . . . units
Then the area of the frame is this length multiplied by the width of the frame:
A = (24)(1) = 24 . . . . square units frame area
Complete the Ratio table below
Evaluate. (Assume x > 0.) Check by differentiating. √√xin (13x) dx √√xin (13x) dx = (Type an exact answer.)
To evaluate the integral ∫√√x⋅(13x) dx, we can make a substitution u = √x. Then, du/dx = 1/(2√x) and dx = 2u du.
Making the substitution, the integral becomes:
∫(√u)⋅(13u²)⋅(2u du)
Simplifying, we have:
26∫u^3/2 du
Integrating term by term, we add 1 to the exponent and divide by the new exponent:
26 * [(u^(3/2 + 1))/(3/2 + 1)] + C
= 26 * [(u^(5/2))/(5/2)] + C
= (52/5) * u^(5/2) + C
Now, substituting back u = √x, we have:
(52/5) * (√x)^(5/2) + C
= (52/5) * (x^(1/4)) + C
So, the evaluated integral is (52/5) * (x^(1/4)) + C.
To check our result, we can differentiate the obtained expression and verify if it matches the original integrand.
Differentiating (52/5) * (x^(1/4)) + C with respect to x, we get:
d/dx [(52/5) * (x^(1/4))] + d/dx [C]
= (52/5) * (1/4) * x^(-3/4)
= 13 * x^(-3/4)
The result matches the original integrand, confirming the correctness of our evaluation.
Learn more about integration here:
https://brainly.com/question/30665179
#SPJ11
Government data show that 26% of the civilian labor force has at least 4 years of college and that 15% of the labor force works as laborers or operators of machines or vehicles. Can you conclude that because (0.26)(0.15) = .039 about 4% of the labor force are college-educated laborers or operators?
(a) Yes, by the multiplication rule
(b) Yes, by conditional probabilities
(c) Yes,bythelawoflargenumbers
(d) No, because the events are not independent
(e) No, because the events are not mutually exclusive
d
Option (d)- No, because the events are not independent. Hence we can not conclude that because (0.26)(0.15) = 0.039 about 4% of the labor force are college-educated labors or operators.
We have given that government data show that 26% of the civilian labor force has at least 4 years of college and that 15% of the labor force works as laborers or operators of machine or vehicle.
So here,
event A = 26% of civilian labor force hast at least 4 years of college
event B = 15% of the labor force works as laborers or operators of machines or vehicles
Therefore it is observe that both the events are not independent.
Hence we cannot conclude that because (0.26)(0.15) = 0.039 about 4% of the labor force are college-educated laborers or operators.
To know more about labors here
https://brainly.com/question/17136480
#SPJ4
what is 2(x+3)=x-4 please answer ASAP
Answer:
-10
Step-by-step explanation:
2x+6 = x-4
2x = x - 4 - 6
2x = x -10
2x -x = x-x - 10
x = -10
Please mark my answer as brainest
Please answer CORRECTLY !!!!! Will mark brainliest !!!!!!!
Answer:
Width: 2x+1
Step-by-step explanation:
Can someone help with this please.
How do you prove that lines are similar in triangles if it is parallel? (look at photo)
Answer:
they are similar cuz it resembles a "z" pattern. The angles are so the same.
If cos a<0 and cot a is undefined then where does the terminal side of a located?
A. Quadrant II
B.quadrant III
C.negative x axis
D.negative y axis
E.no such angle a exists
Find the surface area of the sphere. Round your answer to the nearest hundredth.
C-4r ft
The surface area is about
square feet.
The surface area of the sphere is about 50.27 square feet.
The formula for the surface area of a sphere is:
Surface area = 4πr²
The circumference of the sphere as C = 4r ft.
The radius of the sphere as follows:
C = 2πr
4r = 2πr
r = 2 ft
The radius of the sphere can use the formula for surface area to find the answer:
Surface area = 4πr²
Surface area = 4π(2²)
Surface area ≈ 50.27 square feet
Rounding the answer to the nearest hundredth, we get:
Surface area ≈ 50.27 square feet (rounded to two decimal places)
For similar questions on sphere
https://brainly.com/question/30106289
#SPJ11
please hand solve and show steps
(a) Find the dual of the LP .
(b) Find the standard form of the LP and dual.
(c)Optimal solution for the primal problem is: x ∗ 1 = 20, x∗ 2
= 60, s∗ 1 = 0, s∗
objective m constraints n decision variables Consider the following LP. Primal and Dual pair min b₁y₁+ max C₁x₁++GX+ CnXn 8/1X1 +2X2 + + ax ≤ bi ax1 + a2x2 + +anxn bi a/1X1 + a2x2 + +anxn 2
(a) Find the dual of the LP.Primal problem isminimize \($b_1y_1+C_1x_1+...+C_nx_n$\) subject to \($a_{11}x_1+a_{12}x_2+...+a_{1n}x_n \leq\) \(b_1$...$a_{m1}x_1+a_{m2}x_2+...+a_{mn}x_n \leq b_m$ and $x_1, x_2,\)..., x_n\(\geq 0$\)
Let us find the dual of the above primal problem.
Dual problem ismaximize \($b_1y_1+...+b_my_m$\)subject to \($a_{11}y_1+a_{21}y_2+...+a_{m1}y_m \leq\)\(C_1$...$a_{1n}y_1+a_{2n}y_2+...+a_{mn}y_m \leq C_n$\)
and\($y_1, y_2, ..., y_m \geq 0$\)
(b) Find the standard form of the LP and dual.Standard form of the primal problem isminimize \($b_1y_1+C_1x_1+...+C_nx_n$\)subject to \($a_{11}x_1+a_{12}x_2+...+a_{1n}x_n +s_1 = b_1$...$a_{m1}x_1+a_{m2}x_2+...+a_{mn}x_n +s_m = b_m$\) and\($x_1, x_2, ..., x_n, s_1, s_2, ..., s_m \geq 0$\)
Standard form of the dual problem ismaximize \($b_1y_1+...+b_my_m$\)subject to \($a_{11}y_1+a_{21}y_2+...+a_{m1}y_m \leq 0$...$a_{1n}y\)
To know more about isminimize visit:
https://brainly.com/question/32370699
#SPJ11
Find the solution set for this equation.
-- y2 + 8y = 0
Separate the two values with a comma.
Enter the correct answer.
000
DONE
Clearl
Answer:
-8 is the answer, have a good day :)
Step-by-step explanation:
Please I need help !!Mia is identifying a line segment in her notes, she asks Bob to help edit her notation. She has identified the line segment CD as .
If you were Bob, how would you help Mia fix this notation? Be specific!
Answer:
I would put line segment CD as Line segment CD with a line with two dots on the end.
Step-by-step explanation:
Which of the following statements correctly declares a two-dimensional integer array?
A. int Matrix[ ] = new int[5,4];
B. int Matrix[ ]; Matrix = new int[5,4];
C. int Matrix[ ][ ] = new int[5][4];
D. int Matrix[ ][ ] = int[5][4];
The statement that correctly declares a two-dimensional integer array is C. int Matrix[ ][ ] = new int[5][4];
To declare a two-dimensional array, we need to specify the data type of the elements, the number of rows, and the number of columns. In this case, the data type is int, the number of rows is 5, and the number of columns is 4. Therefore, the correct declaration is:
int Matrix[ ][ ] = new int[5][4];
Statements A, B, and D are incorrect because they do not specify the number of columns. Statement A also does not specify the number of rows.
When declaring a two-dimensional array, the square brackets ([]) are used to indicate that the array is two-dimensional. The number of rows is specified between the first two square brackets, and the number of columns is specified between the second two square brackets.
Learn more about integers here:
brainly.com/question/490943
#SPJ11
(pls i need help fast i know nothing about football )The Red team score the following number of points in their last 5 games, 36 points, 30 points, 24 points, 12 points, and 18 points.
What is the mean (average) number of points they scored each game.
a
32 points
b
30 points
c
24 points
d
18 points
Answer:
c
Step-by-step explanation:
You add up all of the points and divide by 5.
If a = 2+ √5 and b = 1/a find a^2 + b^2
Hence, The Value of: a^2 + b^2 is 18
Step-by-step explanation: √ Find the RECIPROCAL of: ab = 1/a = 1/ 2 + √5
Rationalize the Denominator:b = 1/2 + √5 * 2 - √5/2 - √5
= 2 - √5/1
Simplify:b = 2 - √5
Square: A and B:a^2 = (2 + √5)^2 = 4 + 4√5 + 5
b^2 = (2 - √5)^2 = 4 - 4√5 + 5
ADD: a^2 and b^2:a^2 + b^2 = 4 + 4√5 + 5 + 4 - 4√5 + 5
= 18 - 3√5
So, Now we solve the Inverse property of addition: ±4 + 5 + 4 + 5
9 + 4 + 5
13 + 5 = 18
Move the expression to the right:a^2 + b^2 = 18
a^2 = 18 - b^2
Now we take the root of both sides/Negative/Positive:a = ± √18 - b^2
a = √18 - b^2
a = -√18 - b^2
Draw a conclusion:Hence, The Value of: a^2 + b^2 is 18
I hope this helps you!
Test the claim that the mean nickel diameter drawn by children from the low income group is larger than the mean nickel diameter drawn by children from the high income group. Test at the 0.05 significance level.
For the lower income group,
x
¯
= 23.38, s = 4.56, n=40 and for the high income group
x
¯
= 18.69, s = 3.63, n=35. The population standard deviations are unknown and assumed unequal.
a) If we use
L
to denote the low income group and
H
to denote the high income group, identify the correct alternative hypothesis.
c) The p-value is:
The p-value of the test claim is calculated as; p < 0.00001.
How to find the p-value of the statistics?The z-score between two samples is expressed as;
z = (x₁ – x₂)/√(σ₁²/n₁) + (σ₂²/n₂)
The parameters given are;
Sample mean 1: x₁ = 23.38
Sample mean 2: x₂ = 18.69
Sample standard deviation 1: σ₁ = ?
Sample standard deviation 2: σ₂ = ?
Sample size 1: n₁ = 40
Sample size 2: n₂ = 35
standard error = sample standard deviation /√(sample size)
σ₁ = 23.38/√40
σ₁ = 3.697
σ₂ = 18.69/√35
σ₂ = 3.159
Thus;
z = (23.38 – 18.69)/√(3.697²/40) + (3.159²/35)
z = (23.38 – 18.69)/0.792
z = 5.92
From online p-value from z-score calculator, p < 0.00001.
Thus, the p-value is less than the significance value and the results are significant and alternate hypothesis is accepted.
Read more about P-value of statistics at; https://brainly.com/question/25638875
#SPJ1
Painting a wall goes slowly, so you divide your team into two smaller teams.
Team A paints 7 walls in 2 hours.
Team B paints 4 walls in 1 hour.
Who worked faster?
a) Solve: d - 1/4 = -1/2 (Make sure to explain each step.)
b) Solve: m + 4 . 8 = 9 . 2 (Make sure to explain each step.)
Answer:
3/44.4Step-by-step explanation:
1/2+1/4=3/49.2-4.8=4.4Suppose T is a rotation by 30° about the point 2 , and S is a rotation by 45° about the point 4 . What is T∘S ? Can you describe this transformation geometrically?
T∘S represents a rotation of 75° about the line passing through points 4 and 2. It is the composition of a 45° rotation and a subsequent 30° rotation.
To find the composition of T∘S (T followed by S), we need to apply the individual transformations to a point and then apply the resulting transformation to another point.
Let's consider a point P. First, we apply the rotation S by 45° about point 4 to point P, resulting in a new point P'. Then, we apply the rotation T by 30° about the point 2 to point P'. The final position of P after both rotations is denoted as T∘S(P).
Geometrically, the composition T∘S represents the combined effect of rotating an object first by 45° about the point 4 and then rotating the resulting object by an additional 30° about the point 2. The resulting transformation is a rotation of 75° (45° + 30°) about an axis that passes through both points 4 and 2.
In summary, T∘S represents a rotation of 75° about the line passing through points 4 and 2.
To learn more about rotation visit:
https://brainly.com/question/26249005
#SPJ11
carol spends 18 hours in a 2-week period practicing her culinary skills. how many hours does she spend in 5 weeks
Answer:
She spends 45 hours practicing her culinary skills in 5 weeks.
Help!!!
a $52 item is marked up 10% and then markdown 10% what is the final price
Answer: $51.48
Step-by-step explanation:
If a $52 item is marked up by 10%, its new price will be:
$52 + 10% of $52 = $52 + $5.20 = $57.20
Then, if this new price is marked down by 10%, the final price will be:
$57.20 - 10% of $57.20 = $57.20 - $5.72 = $51.48
Therefore, the final price of the item after the markup and markdown is $51.48.
y=1200(1+.3)⁶ whats the intial value what the growth rate. what does 6 represent
Answer:
y=1200(1+.3)⁶
initial value =
y=5792.1708
6 represent time.
Answer:
msm555 is correct
hope it's help you
have a good day
In basketball, hang time is the time that both of your feet are off the ground during a jump. The equation for hang time is \(t = 2(\frac{2h}{32} )\frac{1}2\) , where t is the time in seconds, and h is the height of the jump, in feet.
Player 1 had a hang time of 0.9 s. Player 2 had a hang time of 0.8 s. To the nearest inch, how much higher did Player 1 jump than Player 2?
Answer:
8 inches
Step-by-step explanation:
Given:
t = 2 ( 2h/32 ) ^1/2 ( or: t = 2 * sqrt ( 2h/32) ).
Step 1: First Player
0.9 = 2 * sqrt( 2h/32 ) / ^2 ( we will square both sides of equation )
0.81 = 4* 2h/32
0.81 = h/4
h 1 = 0.81 * 4 = 3.24 ft
Step 2: Second Player
0.8 = 2 * sqrt( 2h/32 ) /^2
0.64 = 4 * 2 h/32
h 2 = 0.64 * 4 = 2.56 ft
Step 3: Simplify
h 2 - h 1 = 3.24 - 2.56 = 0.68 ft
and since 12 in = 1 ft:
0.68 * 12 = 8.16 in ≈ 8 in.