If a = -4 and b = 3, what is |a-b|
Answers
Answer:
-7
Step-by-step explanation:
-4
3
- 4
-3 sign will be changed
-7
Answer:
| a - b | = 7
Step-by-step explanation:
the absolute value function always gives a positive value , that is
| - a | = | a | = a
given
| a - b | ← substitute a = - 4 and b = 3 into the expression
= | - 4 - 3 |
= | - 7 |
= 7
Related Questions
In a newspaper's survey of 454 people, 52. 6% said that we should replace passwords with biometric security, such as fingerprints. The accompanying Statdisk display results from a test of the claim that half of us say that we should replace passwords with biometric security. Use the normal distribution as an approximation to the binomial distribution. Use the display and a 0. 10 significance level to complete parts (a) through (e)
Answers
The rounded values of test statistic ,p-value 0.94 and 0.348.
The null hypothesis is given by H₀, p = 0.5.
Final conclusion is we cannot claim that we should replace passwords with biometric security as fail to reject null hypothesis.
Total number of people = 454
Percent of people replace passwords with biometric security = 52.2%
The test statistic is z = 0.9386, the critical z-value at a 0.01 significance level is +2.5758, and the p-value is 0.3479.
The test statistic is z = 0.94 rounded to two decimal places.
The P-value is 0.348 rounded to three decimal places.
The null hypothesis is H₀, p = 0.5, where p denotes the population proportion of people .
Who say that we should replace passwords with biometric security.
Since the P-value 0.348 is greater than the significance level 0.01 we fail to reject the null hypothesis.
Based on the results of the test, do not have sufficient evidence to conclude that the proportion of people.
Who say that we should replace passwords with biometric security is different from 0.5.
In other words, we cannot reject the claim that half of us say that we should replace passwords with biometric security.
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The above question is incomplete, the complete question is:
In a newspaper's survey of 454 people, 52.2% said that we should replace passwords with biometric security, such as fingerprints. The accompanying Statdisk display results from a test of the claim that half of us say that we should replace passwords with biometric security. Use the normal distribution as an approximation to the binomial distribution.
a. Use the display and a 0.01 significance level to complete parts (a) through (e). Sample proportion: 0.5220264
Test Statistic, z: 0.9386
Critical z: +2.5758
P-value: 0.3479
b. What is the test statistic? Z= (Round to two decimal places as needed.) c. What is the P-value? P-value = (Round to three decimal places as needed.)
d. What is the null hypothesis, and what do you conclude about it? the null hypothesis. The null hypothesis is H₀, p , where p denotes the population proportion of people who say that we should replace passwords with biometric security. (Type an integer or a decimal. Do not round.)
e. What is the final conclusion? There is sufficient evidence to the claim that half of us say that we should replace passwords with biometric security.
ill give 25 points to anyone who can answer this for me pls and thank you
Answers
Answer:
2x+6 +x-4 +4+4
Step-by-step explanation:
Hi There!!
Here's the answer below.
Step-by-step explanation:
Well, The Part A
The area is...
\((x +4)\) \((2x+6+ x-4)\)
\(=\) \((x+4) (3x+2)\)
\(=\) \(3x^{2} + 14x + 8\)
Now, We finish Part A.
We got to do Part B.
The length is \(x-4\) and it's \(12\)
\(x-4 = 12\)
\(x = 12 +4\)
\(x = 16\)
Now, We got to the area.
\(3(16)^{2} + 14(12) + 8\)
\(= 3(256) + 168 + 8\)
\(= 768 + 176\)
\(= 994\)
So, Your best answer choice is \(994\)
#\(Be\) \(Bold\)
\(_{Loserbrazts}\)
An airline claims that it rarely loses a passenger's checked luggage, and, if checked luggage is lost, 90% of the luggage is recovered and returned to the owner within 24 hours. A consumer group believes the 24-hour recovery rate of lost luggage is actually lower (worse) than the airline's claim. They surveyed a large random sample of the airline's customers and found that 103 of 122 people who had lost luggage were reunited with the missing items within 24 hours. Is this enough evidence to claim the proportion of people who lost luggage with this airline a
Answers
The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.
What is a null hypothesis?Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.
It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.
The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.
In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.
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The number of terms of an Ap is even and the sum of odd terms is 24 the sum of even terms is 30 and the last term exceeds the first by 10 1/2. find the number of term and the series.
do it as fast as you can
who will do this question I will marks them as brainliest
all the best
Answers
Answer:
fzirzityxpy
Step-by-step explanation:
w = 2x squared + 1
workout the value of w when x = -3
Answers
Answer:
-35
Step-by-step explanation:
w = 2x^2 + 1
= (2 x -3)^2 +1
= -6^2 + 1
=-36 + 1
= -35
find the slope of the tangent line to the given polar curve at the point specified by the value of . r = 8 sin(), = 6
Answers
The slope of the tangent line to is approximately equal to tangent of 6 radians.
How to find the slope?To find the slope of the tangent line to the polar curve r = 8 sin(θ) at the point specified by the value of θ = 6, we need to find the derivative of the polar curve with respect to θ and evaluate it at θ = 6.
First, we can find the derivative of r with respect to θ:
dr/dθ = 8 cos(θ)
Then, we can find the value of r at θ = 6:
r(6) = 8 sin(6)
To find the slope of the tangent line at θ = 6, we can use the formula:
dy/dx = (dr/dθ * sin(θ) + r * cos(θ)) / (dr/dθ * cos(θ) - r * sin(θ))
Substituting the values we found above, we get:
dy/dx = (8 cos(6) * sin(6) + 8 sin(6) * cos(6)) / (8 cos(6) * cos(6) - 8 sin(6) * sin(6))
Simplifying this expression, we get:
dy/dx = tan(6)
Therefore, the slope of the tangent line to the polar curve r = 8 sin(θ) at the point specified by the value of θ = 6 is approximately equal to the tangent of 6 radians.
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a laptop computer is purchased for 2900 . each year, its value is 70% of its value the year before. after how many years will the laptop computer be worth 600 or less?
Answers
Answer: #After 5 years the laptop computer will be worth 600 or less
Step-by-step explanation:
The purchasing price is 2900 and each year the value is 70% of its value the year before thereforeFirst year pick 2900*70% = 2030Second year...2030*70% = 1421Third year....1421*70% = 994.7Fourth year...994.7*70% = 696.29Fifth year...696.29*70% = 487.40Know more about appreciation and depreciation of value here:
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Please help me with this question
Answers
Answer:
1. complex fraction Ex: 1/4/3- one fourth over 3 if that makes more sense
2. terminating decimal Ex: 0.5
3. additive inverse Ex: -14+14= 0
Smaller circle C is inside larger circle C. The smaller circle is labeled the garden. The radius of the smaller circle is 8 feet. The distance from the rim of the inner circle to the rim of the outer circle is 3 feet. A circular garden with a radius of 8 feet is surrounded by a circular path with a width of 3 feet. What is the approximate area of the path alone? Use 3.14 for Pi. 172.70 ft2 178.98 ft2 200.96 ft2 379.94 ft2
Answers
Answer:
178.98 ft2
Step-by-step explanation:
The approximate area of the path is 179 ft².
Area of the smaller circleThe area of the smaller circle is calculated as follows;
A₁ = πr₁²
Where;
r₁ is the radius of the smaller circle = 8 ftA₁ = π x 8²
A₁ = 201.088 ft²
Area of the bigger circleA = πr₂²
Where;
r₂ is the radius of the bigger circle = 8 + 3 = 11 ftA₂ = π x (11)²
A₂ = 380.18 ft²
Area of the pathA = A₂ - A₁
A = 380.182 ft² - 201.088 ft²
A = 179.094 ft²
Thus, the approximate area of the path is 179 ft².
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Keith designs a game in which players work together to run a food truck business.
During one game, the business loses $261. The four players share the loss equally.
A- Write the equation to represent the change in profit for each player.
(don't use the space)
Answers
Answer:
Y=-65.25x
Step-by-step explanation:
How many solutions are there to the equation below? 9(x – 4) = 9x – 33
Answers
Answer:
There are 0 solutions
Step-by-step explanation:
9(×-4)=9×-33
9×-36=9×-33
9×-9×-36=-33
-36=-33 and it's impossible
so there's 0 solutions
Asignen a cada situacion un numero entero A_la altura del monte everest es de 8848 m B_un buso descendio 25 m C_el auto esta estacionado en el 1° sub suelo D_se acreditador $500 en la caja de ahorro E_el deportista que obtuvo la medalla de oro en salto en alto alcanzo los 2,38 m F_la muralla china se construyo aproximadamente 200 años antes de cristo
Answers
Respuesta:
+8848 m;
- 25 metros
- 1
+ 500
+ 2,38
- 200
Explicación paso a paso:
Los signos se asignan en función del escenario descrito.
La altura del monte Everest representa la altitud y esto atrae un signo positivo.
Un descenso de 25 m representa una disminución y, por lo tanto, atrae un signo negativo.
El primer subsuelo se refiere al primer piso debajo, la posición hacia abajo atraerá un signo negativo.
Un crédito representa una adición, por lo tanto, atrae positivos
Un salto se clasificará como positivo
A la fecha o período pasado se le asignará un signo negativo
The magnitude and direction of two forces acting on an object are 90 pounds, 68SE, and 50 pounds, 61 NE, respectively. Find the magnitude, to the nearest hundredth of a pound, and the direction angle, to the nearest tenth of a degree, of the resultant force
Answers
The magnitude of the resultant force is 135.83 pounds, and its direction angle is 67.7°.
To find the magnitude and direction of the resultant force, we can use vector addition. We first convert the forces into their x and y components. The x-component of the first force is 90 cos(68°) = 34.48 pounds, and the y-component is 90 sin(68°) = 82.73 pounds.
Similarly, the x-component of the second force is 50 cos(61°) = 22.69 pounds, and the y-component is 50 sin(61°) = 41.06 pounds.
To find the x and y components of the resultant force, we add the corresponding components of the two forces. The x-component of the resultant force is 34.48 + 22.69 = 57.17 pounds, and the y-component is 82.73 + 41.06 = 123.79 pounds.
Using the Pythagorean theorem, we can find the magnitude of the resultant force as the square root of the sum of the squares of its x and y components. Thus, the magnitude of the resultant force is sqrt(57.17^2 + 123.79^2) = 135.83 pounds (rounded to the nearest hundredth).
To find the direction angle of the resultant force, we can use trigonometry. The direction angle is the arctan of the y-component divided by the x-component, but we need to adjust for the appropriate quadrant.
Thus, the direction angle is arctan(123.79/57.17) + 180° = 67.7° (rounded to the nearest tenth of a degree), where we add 180° to account for the fact that the resultant force is in the third quadrant.
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The height of an equilateral triangle is 27 in. Find the perimeter of the triangle.
Answers
Answer:
a = 27
perimeter = 3a
= 3 * 27
= 81
If in a population the rate of mutation that converts the A allele to the a allele is 10^-6 and the current frequency of the A allele is 0.75 and the a allele is 0.25, then the frequency of the A and a alleles in the next generation will be
Multiple Choice
O A: 0.74 a: 0.26
O A: 0.75000075 a: 0.24999925
O A: 0.75 a: 0.25
O A: 0.74999925 a: 0.25000075
Answers
The frequency of A allele after a single generation of mutation can be found as follows: Frequency of A allele after a single generationp(A) = p(A) x (1 - m) + q(a) x m
where,
m = mutation rate = 10^-6p(A) = frequency of A allele in initial generation = 0.75q(a) = frequency of a allele in initial generation = 0.25Thus,p(A) = 0.75 x (1 - 10^-6) + 0.25 x 10^-6 = 0.74999925
And the frequency of a allele will beq(a) = 1 - p(A) = 1 - 0.74999925 = 0.25000075
Therefore, the frequency of the A and a alleles in the next generation will beA: 0.74999925 and a: 0.25000075.
This is option D.
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Which expression is equivalent to 9–2? –81 –18 StartFraction 1 Over 81 EndFraction StartFraction 1 Over 18 EndFraction.
Answers
The expression 9⁻² is equivalent to the expression 1/81. Then the correct option is C.
What is an equivalent?The equivalent expression is the expression that is in different forms but is equal to the same value.
The expression is given as 9⁻².
The expression can be written in the form of a fraction. Then we have
\(\dfrac{1}{9^2}\)
We know that square of 9 is 81. Then we have
\(\dfrac{1}{81}\)
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Answer:
C.
Step-by-step explanation:
A chicken farm ideally produces 100,000 eggs per day. But this total can vary by as many as 45,000 eggs. What is the maximum and minimum expected production at the farm?
Answers
Answer: The maximum is 145000 and the minimum is 55,000 eggs
Step-by-step explanation:
answer this plssssssssssss
1) if the Pr(A) occurring is 0.16, what is the Pr(A’) occurring?
Answers
Answer:
0.84 is the answers for the question
Step-by-step explanation:
please give me brainlest
Answer:
0.84
Step-by-step explanation:
Pr(A') = 1 - Pr(A)
Pr(A') = 1 - 0.16
Pr(A') = 0.84
Show and explain how replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions as the one shown.
8x + 7y = 39
4x – 14y = –68
make sure to give a long paragraph for edginuity
Answers
Answer:
Step-by-step explanation:
Using the linear combination method, you can multiply the first equation by 2 and add the equations to get 20x = 10. Dividing both sides by 20, x = 1/2. To solve for y, substitute 1/2 for x in the equation 8x + 7y = 39 to get 4 + 7y = 39. Solving this equation, y = 5. Checking this in the other equation, 4(1/2) – 14(5) = –68 results in 2 – 70 = –68 or –68 = –68. The solution of the system shown is (1/2, 5). The system 8x + 7y = 39 and 20x = 10 is formed by replacing 4x –14y = –68 by a sum of it and a multiple of 8x + 7y = 39. Since 20(1/2) = 10, the system 8x + 7y = 39 and 20x = 10 also has a solution of (1/2, 5)
Answer:
Using the linear combination method, you can multiply the first equation by 2 and add the equations to get 20x = 10. Dividing both sides by 20, x = 1/2. To solve for y, substitute 1/2 for x in the equation 8x + 7y = 39 to get 4 + 7y = 39. Solving this equation, y = 5. Checking this in the other equation, 4(1/2) – 14(5) = –68 results in 2 – 70 = –68 or –68 = –68. The solution of the system shown is (1/2, 5). The system 8x + 7y = 39 and 20x = 10 is formed by replacing 4x –14y = –68 by a sum of it and a multiple of 8x + 7y = 39. Since 20(1/2) = 10, the system 8x + 7y = 39 and 20x = 10 also has a solution of (1/2, 5).
Step-by-step explanation:
The diagram shows a 6 cm x 9 cm x 7 cm cuboid.
7 cm
A
6 cm
B
9 cm
C
a) Find length AC.
Give your answer to 2 decimal places.
b) Find angle ACD.
Give your answer to 1 decimal place.
Answers
Answer:
(a) AC ≈ 10.82 cm
(b) ∠ACD ≈ 32.9°
Step-by-step explanation:
You want the face diagonal AC and the space angle ACD in the given cuboid with face dimensions 6 cm and 9 cm, and height 7 cm.
DiagonalThe length of the diagonal is found using the Pythagorean theorem.
AC² = AB² +BC²
AC² = (6 cm)² +(9 cm)² = (36 +81) cm² = 117 cm²
AC = √117 cm ≈ 10.82 cm
Length AC is about 10.82 cm.
AngleThe angle of interest has opposite side AD = 7 cm and adjacent side AC ≈ 10.82 cm. The tangent ratio is useful here:
Tan = Opposite/Adjacent
tan(∠ACD) = (7 cm)/(10.82 cm)
∠ACD = arctan(7/√117) ≈ 32.9°
Angle ACD is about 32.9°.
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A cylinder with a base diameter of x units has a volume of πx3 cubic units. A cylinder with a base diameter of x units has a volume of pi x cubed cubic units. Which statements about the cylinder are true? Select two options. The radius of the cylinder is 2x units. The area of the cylinder’s base is One-fourthπx2 square units. The area of the cylinder’s base is One-halfπx2 square units. The height of the cylinder is 2x units. The height of the cylinder is 4x units.
Answers
Answer:
The height of the cylinder is 4 x units.
The area of the cylinder’s base is One-fourthπx2 square units
Step-by-step explanation:
Formula for volume of the cylinder:
V = r² π h
Volume of the cylinder=
πx^3
Diameter=x
Radius (r)=diameter/2
=x/2
V = r² π h
πx^3=(x/2)^2πh
πx^3=(x^2/4)πh
Divide both sides by π
x^3=(x^2/4)h
Make h the subject of the formula
h=x^3÷x^2/4
=x^3×4 / x^2
=4x^3 / x^2
=4*x*x*x / x*x
h=4x
Area of the base:
B = r² π
Recall, r=x/2
B=(x/2)^2 * π
=(x^2/4)π
=πx^2/4
=1/4(πx^2)
The area of the cylinder’s base is One-fourthπx2 square units.
Answer:
B & E
Step-by-step explanation:
Edge 2020
the owner of a pet shop buys budgie bells in packs of 30 bells. she pays 12p per bell. She sells 3/5 of the bells for 50p each and the rest for 40p each. How much profit does she make on the whole pack of budgie bells?
Answers
Answer: 1020p
Step-by-step explanation:
The total cost of the bells will be:
= 12p × 30 = 360p
She sells 3/5 of the bells for 50p each. This will be:
= (3/5 × 30) × 50
= 18 × 50p
= 900p
She sells the remaining 2/5 for 40p each. This will be:
= (2/5 × 30) × 40
= 12 × 40
= 480p
Then, total revenue will be:
= 900p + 480p
= 1380p
Profit = Revenue - Cost
= 1380p - 360p
= 1020p
ayudaaaaaaaaa plisssssssss
Answers
Answer:
7 1/2
Step-by-step explanation:
6 x 5/4 = 7 2/4 = 7 1/2
Hope that helps!
What percent of 70 is 10?
what percent of 2.8 is 20?
18 is what percent of 90?
55 is what percent of 10?
Answers
Part A: percent of 70 is 10.
x% of 70 = 10
70x / 100 = 10
x = 1000 / 70
x = 14.28 %.
Part B: percent of 2.8 is 20.
x% of 2.8 = 20
2.8x/ 100 = 20
x = 2000/ 2.8
x = 714.28%
Part C: percent of 90 is 18.
x% of 90 = 18
90x/100 = 18
x = 1800 / 90
x = 2 %
Part D: percent of 10 is 55.
x% of 10 = 55
10x / 100 = 55
x = 5500/ 10
x = 550%.
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What fraction represents the shaded part of the circle?
Answers
total shaded regions/total regions = 3/12.
What is a circle?
In geometry, a circle is a closed two-dimensional figure in which all points on the boundary are equidistant from a single point called the center of the circle. The distance from the center to any point on the circle is called the radius of the circle.
Circles are a fundamental concept in geometry and are used extensively in many branches of mathematics, science, and engineering. Some key features of a circle include:
Center: The fixed point within the circle that all points on the boundary are equidistant.
Radius: The distance from the center of the circle to any point on the boundary of the circle.
Diameter: The distance across the circle, passing through the center and ending on two points on the boundary.
Circumference: The distance around the boundary of the circle, which is equal to 2π times the radius.
Area: The amount of space enclosed by the circle, which is equal to π times the radius squared.
A circle can be defined by its center point and radius or by any three non-collinear points on its circumference. The circumference of a circle.
The answer is 3/12 because the total shaded regions are 3 and unshaded regions are 12.
Therefore, total shaded regions/total regions = 3/12.
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What is the value of the expression below when z = 7 and w=10?
7z +10w
Answers
Answer:
149
Step-by-step explanation:
z = 7 and w = 10
Equation:
7z + 10w
Substitution:
49 + 100
Answer:
149
Hope this helps :)
The required value of the given expression at z = 7 and w = 10 is given as 179.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Given expression,
z = 7 and w = 10
Now put these values in the given expression,
= 7z + 10w
= 7 × 7 + 10 × 10
= 49 + 100
= 149
Thus, the required value of the given expression is given as 179.
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Which relations are functions? Select all that apply.
Answers
Answer:
A and C
Step-by-step explanation:
B has a domain connected to many other ranges which makes a relationship but confuses the whole function making it incorrect.
For answer D, the x coordinates 1 and 3 both have two y coordinates. That again makes a relationship but confuses the function making that answer incorrect.
In answer A, no domain is repeated in any of the points making it a function.
In answer C, again no domains are paired with more than one range making it a function. That why A and C are the answers
pls help if you can asap!!!!
Answers
Answer: x= 6
Step-by-step explanation:
Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.
You can see they do not look the same so they add up to equal 180
12x + 3 +105 = 180
12x + 108 = 180
12x = 72
x = 6
6^7/6^5 in index form
Answers
Answer:
\(6^{2}\)
Step-by-step explanation:
When dividing numbers with same bases with indices this is the rule:
\(\frac{x^{y}}{x^{z} } =x^{y-z}\)
So the answer is:
\(6^{7-5} = 6^{2}\)
I need help please and thank you
Answers
your
Step-by-step explanation:
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