Answer:
12. x= 1, y= 3 z=1
13. no solution
Step-by-step explanation:
according to the national retail federation, the average shopper will spend $1,007.24 during the holiday shopping season. what is the null and alternatehypothesis?
Based on the amount predicted to be spent, the hypotheses Null Hypothesis = $1,007.24 and Alternate Hypothesis ≠ $1,007.24
The null hypothesis, or H0, in statistics science is the exact reverse of what the researcher wants to investigate. Generally, unless there is compelling proof to the contrary, the null hypothesis is taken to be correct. Another theory that will demonstrate the area one wants to investigate and be reflected by H1 must be developed.
The forecast is confirmed by the null hypothesis, which in this instance is that the typical consumer will indeed spend $1,007.24. According to the Alternate Hypothesis, the predicted occurrence won't occur, so in this instance, the shopper wouldn't spend $1,007.24. In conclusion, the variant contradicts the null hypothesis and supports it.
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Factor the following expression.
12x2 + 22x + 8
Answer:
The answer is 2(23x+4).
Question 38.
Write the first six terms of the arithmetic sequence with the first term, a1 = 240, and common difference, d= 24.
The first six terms are a1 = ,a3= , a4= ,a5= , and a6= .
\(a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360\)
Which expression is equivalent to 45 + 30
Answer:
5(9+6)
5×9=45
5×6=30
I hope this is good enough:
According to wildlife experts, the rate at which crickets chirp per minute is a function of the temperature in degrees Fahrenheit. James observed that when the temp was 60 degrees, there were 84 chirps and when the temp was 85 degrees, there were 184 chirps. Write a linear function to model the relationship between the number of chirps and the temperature.
Answer:
Step-by-step explanation:
We will let the x coordinates be the temp and the y coordinates by the number of chirps. Our coordinates then will look like this:
(60, 84) and (85, 184). If this is linear, then first we will find the slope of the line which will tell us, in the context of this problem, how many chirps a cricket gives per 1 degree of temp increase.
The slope formula is:
\(m=\frac{y_2-y_1}{x_2-x_1}\) and filling in our numbers:
\(m=\frac{184-84}{85-60}=\frac{100}{25}= 4\)
This means that for every 1 degree temp increase, a cricket will give 4 chirps. That's the m value in y = mx + b. Now we will pick one of the coordinates, doesn't matter which one, and use those x and y values in the point-slope form of a line to get the equation. I will choose (60, 85), just because. Using the other point will give you the exact same line equation, I PROMISE!
Using 85 as y1 and 60 as x1 in
y - y1 = m(x - x1) gives us
y - 85 = 4(x - 60) and
y - 85 = 4x - 240 and
y = 4x - 240 + 85 and
y = 4x - 155
a gym class has $12$ students, $6$ girls and $6$ boys. the teacher has $4$ jerseys in each of $3$ colors to mark $3$ teams for a soccer tournament. if the teacher wants at least one girl and at least one boy on each team, how many ways can he give out the jerseys? (jerseys of the same color are indistinguishable.)
So, the teacher can give out the jerseys in 840 ways.
The teacher wants to divide the 12 students into 3 teams, each with at least one girl and one boy.
One possible way to count the number of ways to divide the students is to use the stars and bars method.
For the first team, we have 5 stars and 2 bars, so the number of ways to pick 6 students is:
(5+2)!/(5!2!) = 7
For the second team, we have 4 stars and 1 bar, so the number of ways to pick 6 students is:
(4+1)!/(4!1!) = 5
For the third team, we have 3 stars, so the number of ways to pick 6 students is:
(3+0)!/(3!0!) = 4
Then we can multiply the number of ways to pick students for each team together to find the total number of ways to divide the students:
7 * 5 * 4 = 140
Then, as the jerseys are indistinguishable, we just have to multiply the number of ways to divide the students by the number of ways to distribute jerseys:
140 * 3! = 840
Therefore, the teacher can give out the jerseys in 840 ways.
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1
HELP
A rectangular prism with a volume of 4 cubic units is filled with cubes with side lengths of
unit.
1
How many
unit cubes does it take to fill the prism?
3
Answer:
Answer. Each cube with side lengths of 1/4 have a volume of (1/4)3 which means each cube's volume is 0.015625 cubic units.
Step-by-step explanation:
Answer. Each cube with side lengths of 1/4 have a volume of (1/4)3 which means each cube's volume is 0.015625 cubic units.
Which number is rational?
Answer:
0.333...
Step-by-step explanation:
since it's forever repeating it still counts as rational
A mathematical combination of numbers and letters that result in the desired answer is called a:_________
A mathematical combination of numbers and letters that result in the desired answer is called an algebraic expression.
Expression:
An expression contains minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.
Given:
A mathematical combination of numbers and letters that result in the desired answer is called.
Here we need to find the term that is suitable for this definition.
Here the answer is algebraic expression.
Basically, the algebraic expression is the combinations of variables , numbers, and at least one arithmetic operation.
For example,
2x + 3y = 5
Where
x and y are variables
2,3 are coefficients of ax and y
5 is the constant
+ and = are the arithmetic operators.
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Please help! And I’ll mark you as the brainiest!!!
Answer:
x < -2
Step-by-step explanation:
-4x - 7 > 1
-4x > 1 + 7
-4x > 8
x < -8/4
x < -2
please solve asap :) thank youuu
Step-by-step explanation:
I'm pretty sure it would be 67
A licensee may attempt a qualified written exam three consecutive times, each occurring at least ______ days after the preceding test.
Answer:
30 days
Step-by-step explanation:
Not really a math problem but its 30 days.
y=2x-7 in point slope form
Answer:
This answer is y -7x.Hope you like answer
The point-slope form of the equation y=2x-7 will be y + 7 = 2(x - 0).
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
Given that the equation of the line is y = 2x - 7. The point-slope form of the equation of the line will be written as:-
y = 2x - 7
y - (-7) = 2( x - 0 )
y + 7 = 2( x - 0 )
Therefore, the point-slope form of the equation y=2x-7 will be y + 7 = 2(x - 0).
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What's the value of the expression below?
40÷[20−4⋅(7−4)]
Answer:
5
Step-by-step explanation:
Answer:
The answer for the question is five!
You begin solving the equation 4−5=59 4 - 5 x = 59 by subtracting 4 4 from both sides. Which is the best choice for Step 2 2 ?
Answer:
4 – 5x = 59, x = -11
Step-by-step explanation:
The given equations is :
4 – 5x = 59
Subtracting 4 both sides,
4 – 5x -4 = 59-4
-5x = 55
Dividing both sides by -5.
x = -11
So, the answer of the given equation is -11.
when two balanced dice are rolled, there are 36 possible outcomes. find the probability that either doubles are rolled or the sum of the dice is 6.
The probability that either doubles are rolled or the sum of the dice is 10 is 2/9.
What is probability?
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of
Total possible outcomes= 36
Probability that either doubles are rolled or the sum of the dice is 10
= 6 (doubles) + 2 (sum is 10, without double (5,5))
=8
P( either doubles are rolled or the sum of the dice is 10)= 8/36
= 2/9
Thus, probability that either doubles are rolled or the sum of the dice is 10 is 2/9.
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Find the lateral surface area of the figure below.
6 cm
8 cm
2 cm
Answer:
8cm
Step-by-step explanation:
is the same size as 8 cm so its 8cm
Mike installed the window shown. How many square feet is the window? Use 3.14 for pi. Round to the nearest tenth.
Answer: 3.9ft²
Step-by-step explanation:
Find the area of the rectangle first:
= Length * Width
= 2 * 1.5
= 3 ft²
Find the area of the semi-circle by finding the area of a circle and dividing it by 2:
= πr²
= 3.14 * 1.5/2 * 1.5/2
= 1.76625ft²
Divide by 2:
= 1.76625/ 2
= 0.88 ft²
Add the area of the rectangle to the semi-circle:
= 3 + 0.88
= 3.9ft²
You bought a computer for $900 in 2020. Three years later, it’s value is $460.80. Which exponential function represents the computers value, V (t), t years after you bought it?
• V(t)=900(9.65)^t
• V(t)= 900(0.8) ^t
• V(t)= 900(0.2) ^t
• V (t) = 900 (1.8) ^t
Answer:
V(t)= 900(0.8) ^t
Step-by-step explanation:
900\(x^{3}\)=460.8
\(x^{3}\)=0.512
x=0.8
Answer:
b
Step-by-step explanation:
Order 2/3, 2/9, 5/6, 11/18 from least to greatest.
Answer:
2/9, 2/3, 8/11, 5/6.
please help me find this i’m completely confused.
Answer:
y = \(\frac{3}{4}\) x - 3
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (4, 0) ← 2 points on the line
m = \(\frac{0-(-3)}{4-0}\) = \(\frac{0+3}{4}\) = \(\frac{3}{4}\)
the line crosses the y- axis at (0, - 3 ) ⇒ c = - 3
y = \(\frac{3}{4}\) x - 3 ← equation of line
If l is parallel to m, find the value of each missing variable.
Answer:
x = 26; l = 137; m = 137
Step-by-step explanation:
If the lines are parallel, that means the measurements are too. As such, equal the two expressions together
5x + 7 = 8x - 71
add 71 to both sides
5x + 7 + 71 = 8x - 71 + 71
-71 and +71 cancel each other out
5x + 78 = 8x
subtract 5x from both sides
5x - 5x + 78 = 8x - 5x
5x - 5x cancels each other out
78 = 3x
divide both sides by 3
3x ÷ 3 = 1x which can also be written as just x
78 ÷ 3 = x
26 = x
plug in this x value into both expressions to find variables l and m
l:
5(26) + 7
130 + 7
137
m:
8(26) - 71
208 - 71
137
Solve the given equation. 8k = 40
k =
To find k, divide both sides by 8:
k = 40/8
k = 5
Answer:
k=5
Step-by-step explanation:
8k=40
k=40÷8
k=5
therefore k is equal to 5
Jessica is packing books for her move She has 93 books. Each box can fit 6 books. How many boxes does she need to move all of her books? (Long division please)
Answer:
16
Step-by-step explanation:
93:6=15.5 As the box can't be half so 16 boxes. In 15 she will pack in each 6 books and in other box 3 books
Answer:
She will need 16 boxes with space for 3 more books
Step-by-step explanation:
Keegan had 3.25 pounds of flour. After making bread, he had 1.75 pounds of flour left over. i know its 1.5 but whats the Equation?
Answer:
Step-by-step explanation:
loaves per week) 1.0 = 51 pounds of flour 1.5 = 76 pounds of flour 2.0 = 101 pounds of flour 2.5 = 127 pounds of flour 3 = 152 pounds of flour Pounds of Wheat Berries Storage For DIY Bread If you mill your own flour, to maintain your current consumption of bread during a time when you’re drawing on your deep pantry food storage:
Is fishing better from a boat or from the shore? Pyramid Lake is located on the Paiute Indian Reservation in Nevada. Presidents, movie stars, and people who just want to catch fish go to Pyramid Lake for really large cutthroat trout. Let row B represent hours per fish caught fishing from the shore, and let row A represent hours per fish caught using a boat. The following data are paired by month from October through April.Oct Nov Dec Jan Feb March AprilB: Shore 2.4 1.6 2.3 3.2 3.9 3.6 3.3A: Boat 2.0 2.1 1.2 2.2 3.3 3.0 3.8Use a 5% level of significance to test if there is a difference in the population mean hours per fish caught using a boat compared with fishing from the shore.What is the value of the sample test statistic? (Use 3 decimal places.)Find (or estimate) the P-value. (Use degrees of freedom equal to the smaller of n1 − 1 and n2 − 1. Use 4 decimal places.)
Sample of test statistic is 2.080 and p-value is 0.082.
From the given information,
α = 0.01;
H₀ : μ = 0
H₁ : μ ≠ 0.
Student's t,
d.f. = 6
d = 0.371
t = 2.08
0.050 < p-value < 0.100
on t graph, shade area to the left of -2.08 and to the right of 2.08.
From TI-84, p-value = 0.0823.
P-value interval > 0.01 for α; fail to reject H₀.
At the 5% level of significance, the sample data do not support the claim that the average HC for this patient is higher than 14.
The P-value means the probability, for a given statistical model that, when the null hypothesis is true, the statistical summary would be equal to or more extreme than the actual observed results.
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Point A is the incenter of triangle DEF. Point A is the incenter of triangle D E F. Lines are drawn from the points of the triangle to point A. Lines are drawn from point A to the sides of the triangle to form right angles and line segments A X, A Y, and A Z. Which must be true? Select three options Point A is the center of the circle that passes through points D, E, and F. Point A is the center of the circle that passes through points X, Y, and Z. Line segment Z A is-congruent-to line segment Y A Line segment E A is-congruent-to line segment F A Line segment A X is-congruent-to line segment A Y
Answer:
B C E
Step-by-step explanation:
Answer:
b c e
Step-by-step explanation:
what are the two solutions to x^2-18x+8=0
7.54 and 0.46 are the solutions to the given quadratic equations
Solving quadratic equations using formulaGiven the quadratic equation below:
x^2-18x+8=0
We need to determine the solutions to the given quadratic expression. Using the general formula below:
x = -b±√b²-4ac/2a
From the equation
a = 1
b = -18
c = 8
Substitute
x = 18±√18²-4(1)(8)/2(1)
x= 18±√324-32/2
x =18± 17.08/2
x = 35.08/2 and 0.92/2
x = 17.54 and 0.46
Hence the two solutions to the given quadratic equation are 17.54 and 0.46
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The following cone has a slant height of 17
cm and a radius of 8
cm.
What is the volume of the cone?
Responses
480π
320π
544π
The formula for the volume of a cone is:
V = (1/3)πr²h
where r is the radius of the base, h is the height of the cone, and π is pi.
In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:
h² = s² - r²
h² = 17² - 8²
h² = 225
h = 15
Now that we have the height, we can plug in the values for r and h into the formula for the volume:
V = (1/3)π(8²)(15)
V = (1/3)π(64)(15)
V = (1/3)(960π)
V = 320π
Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.
rewriting the following ordinary differential equations in state variable form can be rewritten as simultaneous first order differential equations as
Rewriting the following ordinary differential equations in state variable form can be rewritten as simultaneous first order differential equations as
x' = f(x, t)
To rewrite an ordinary differential equation (ODE) in state variable form as a system of simultaneous first-order differential equations, we introduce state variables and rewrite the higher-order derivative terms as first-order derivatives.
Consider an ODE of the form:
d^n y / dt^n = f(t, y, dy/dt, ..., d^(n-1)y/dt^(n-1))
We introduce state variables to represent the derivatives:
x₁ = y
x₂ = dy/dt
x₃ = d²y/dt²
...
xₙ = d^(n-1)y/dt^(n-1)
Now, we can rewrite the ODE as a system of first-order differential equations:
dx₁/dt = x₂
dx₂/dt = x₃
dx₃/dt = x₄
...
dxₙ₋₁/dt = f(t, x₁, x₂, ..., xₙ₋₁)
This system of equations is in state variable form and can be solved numerically or analytically using techniques such as Euler's method, Runge-Kutta methods, or matrix exponential methods.
By rewriting the higher-order ODE into a system of first-order equations, we transform the problem into solving a system of simultaneous first-order equations, which is often more convenient for analysis and numerical solution.
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