rewrite the subtraction problem as an addition problem 48 - 60​

A correlation is simply used to determine whether a relationship exists between the variables.

The information is incomplete and an overview will be given. The correlation shows the relationship between the variable.

This can be explained in a numerical form that's known as the correlation coefficient. This shows that strength of the relationship.

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Answer:

$768

Step-by-step explanation:

8 x 12 = 96 m²

1 m² = $8.00

96m² x $8.00 = $768

Answer:

A = 78.5 cm²

Step-by-step explanation:

the area (A) of the circle is calculated as

A = πr² ( r is the radius )

here diameter = 10 cm , then r = 10 cm ÷ 2 = 5 cm , so

A = π × 5² = 25π ≈ 78.5 cm² ( to the nearest tenth )

Answer:  

= _51_x+ __1_y

    10          5

Step-by-step explanation:

To calculate inflation, the following equation is given

where i represents the inflation rate(in decimals), p1 the starting value of the house, p2 the value of the house after a amount of n years.

If we use this equation for a house with a current cost of $224,200 and an inflation of 2.37%, we're going to have

To calculate the how much the house will be worth in 2 years, we substitute n for 2 and solve for p2.

Answer:

2 3/20 metres

Step-by-step explanation:

Area of the rug = Length × width

Given

Area = 7 1/6 metres = 43/6 m

Length = 3 1/3 metres = 10/3 m

Required

Width

From the formula

A = LW

W = A/L

Substitute the given values

W = 43/6÷10/3

W = 43/6×3/10

W = 43/2 ×1/10

W = 43/20

W = 2 3/20 m

Hence the width of the rug is 2 3/20 metres

Answer:

32

Step-by-step explanation:

7 x 6 is 32 so u get that

The best surface tolerance and finish would be gotten if all inside vertical corners had a fillet radius of (b) > 0.125 inches.

The choice of fillet radius is an important factor in determining the surface tolerance and finish of a machined part. A fillet radius is a rounded corner between two flat surfaces. A fillet radius that is too small can result in a rough surface, while a fillet radius that is too large can weaken the part.

In this scenario, a 1/4 inch diameter mill is being used, so the best surface tolerance and finish would be achieved if the fillet radius is greater than 0.125 inch, but less than 0.25 inch. This will ensure that the part is not weakened and the surface is smooth. The exact value of the fillet radius will depend on the specific requirements of the machining process.

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Complete Question:

If you must use a 1/4 inch diameter mill, then the best surface tolerance and finish would be gotten if all inside vertical corners had a fillet radius with the minimum requirement of:

(a) < 0.25 inch

(b) > 0.125 inch

(c) > 0.25 inch

(d) = 0.25 inch

(e) = 0.125 inch

(f) < 0.125 inch

Answer: The equation would be 53.50 + .25k because 53.50 is the flat rate and then the 25 cents depends on the amount of kilometers which is where the k comes in.

Step-by-step explanation:

Answer:

Step-by-step explanation:

?

Answer:

The Answer is A, to stop poor pay and dangerous working conditions

-2.3w-12

Add all like terms.

(8.9w-11.2w)+(6.2-12-6.2)

Answer:

\(\frac{-23w}{10}\)  - 12

Step-by-step explanation:

Answer: 0.614

Step-by-step explanation:

First find the probability that he catches the bus in a day.

Probability of catching bus once = 1 - Probability of missing bus

= 1 - 0.15

= 0.85

If he arrives on 3 consecutive days at 7:30 am, the probability he will catch the bus is:

= (P | Day 1) * (P | Day 2) * (P | Day 3)

= 0.85 * 0.85 * 0.85

= 0.614

The approximate probability that he catches the bus all  three days is 0.614.

Given that,

Forrest has determined that if he gets to the bus stop at 7:30 am, there is a 0.15 probability that he misses the bus.

If  he arrives at the bus stop three consecutive days at 7:30,

We have to determine,

What is the approximate probability that he catches the bus all  three days.

According to the question,

The probability that he catches the bus in a day.

Probability of catching bus once = 1 - Probability of missing bus,

= 1 - 0.15

= 0.85

If he arrives on 3 consecutive days at 7:30 am,

Then, the probability he will catch the bus is:

= (P | Day 1) × (P | Day 2) × (P | Day 3)

= 0.85 × 0.85 × 0.85

= 0.614

Hence, The approximate probability that he catches the bus all  three days is 0.614.

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Step-by-step explanation:

1

\( w ^{2} \)

4

2

\(2 \times y = 2y\)

3

\( \sqrt[3]{x} \)

4

\( \sqrt{n} \)

The new coordinates that define the figure after dilation with a center at the origin by the given scale factor are;

1) (1, 0)

2) (1, 4/3)

3) (0, 4/3)

4) (9/2, 0)

5) (9/2, 6)

6) (0, 6)

When we dilate a shape or coordinate by a scale factor, it means that we are going to multiply the dimensions of the coordinates by that scale factor. Thus;

1) (3, 0) dilated by a scale factor of 1/3 is;

1/3 *3, 0 * 1/3 = (1, 0)

2) (3, 4) dilated by a scale factor of 1/3 is;

1/3 *3, 4 * 1/3 = (1, 4/3)

3) (0, 4) dilated by a scale factor of 1/3 is;

1/3 *0, 4 * 1/3 = (0, 4/3)

4) (3, 0) dilated by a scale factor of 3/2 is;

3 *3/2, 0 * 3/2 = (9/2, 0)

5) (3, 4) dilated by a scale factor of 3/2 is;

3 *3/2, 4 * 3/2 = (9/2, 6)

6) (0, 4) dilated by a scale factor of 3/2 is;

0 *3/2, 4 * 3/2 = (0, 6)

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Answer:

11,904

Step-by-step explanation:

The equation for simple interest is as follows

PV(1+it)

plug in our values and get

9600(1+.08*3)

9600(1+.24)

9600*1.24=11,904

To eliminate the roots in 1.1 and 1.2, we can use trigonometric substitution. In 1.1, we can substitute x = 4 sin(theta) to eliminate the root of 4. In 1.2, we can substitute z = 7 sin(theta) to eliminate the root of 7.

1.1. V64+2 + 1 We can substitute x = 4 sin(theta) to eliminate the root of 4. This gives us:

V64+2 + 1 = V(16 sin^2(theta) + 2 + 1) = V16 sin^2(theta) + V3 = 4 sin(theta) V3 1.2. V4z2 – 49

We can substitute z = 7 sin(theta) to eliminate the root of 7. This gives us:

V4z2 – 49 = V4(7 sin^2(theta)) – 49 = V28 sin^2(theta) – 49 = 7 sin(theta) V4 – 7 = 7 sin(theta) (2 – 1) = 7 sin(theta)

Here is a more detailed explanation of the substitution:

In 1.1, we know that the root of 4 is 2. We can substitute x = 4 sin(theta) to eliminate this root. This is because sin(theta) can take on any value between -1 and 1, including 2.

When we substitute x = 4 sin(theta), the expression becomes V64+2 + 1 = V(16 sin^2(theta) + 2 + 1) = V16 sin^2(theta) + V3 = 4 sin(theta) V3

In 1.2, we know that the root of 7 is 7/4. We can substitute z = 7 sin(theta) to eliminate this root. This is because sin(theta) can take on any value between -1 and 1, including 7/4.

When we substitute z = 7 sin(theta), the expression becomes: V4z2 – 49 = V4(7 sin^2(theta)) – 49 = V28 sin^2(theta) – 49 = 7 sin(theta) V4 – 7 = 7 sin(theta)

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This is a geometric sequence with a common ratio of 2. So the predicted order quantity for September is 1376 copies.

In a geometric sequence, each term is found by multiplying the previous term by a fixed number called the common ratio. In this case, we can see that each month's order quantity is double the previous month's order quantity. This makes it a geometric sequence with a common ratio of 2.

To verify, we can divide any term by its preceding term and see that we always get the same ratio of 2. For example:

June order / May order = 172 / 86 = 2

July order / June order = 344 / 172 = 2

August order / July order = 688 / 344 = 2

Knowing that this is a geometric sequence with a common ratio of 2, we can use the formula for the nth term of a geometric sequence to find the order quantity for any given month:

an = a1 * r^(n-1)

where:

an = the nth term

a1 = the first term

r = the common ratio

n = the number of terms

For example, to find the order quantity for September (the 5th month), we can plug in the values:

a5 = 86 * 2^(5-1) = 86 * 16 = 1376

So the predicted order quantity for September is 1376 copies.

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The surfaces described by the given vector equations are:

1.The surface is a hyperbolic paraboloid.

2.The surface is a part of a cylinder with radius 3 and axis parallel to the y-axis.

3.The surface is a plane parallel to the xy-plane and shifted upwards by 1 unit.

4.The surface is a twisted cylinder along the y-axis.

A vector equation of a surface in three-dimensional space is a function that maps a pair of parameters, say u and v, to a three-dimensional point in space (x, y, z) represented as a vector. The vector equation can be written in the form of r(u, v) = <x(u, v), y(u, v), z(u, v)>.

In general, there are different ways to represent the same surface using vector equations. For example, the surface of a sphere of radius r centered at the origin can be represented by the vector equation r(u, v) = <r sin(u) cos(v), r sin(u) sin(v), r cos(u)>, where u is the polar angle (measured from the positive z-axis) and v is the azimuthal angle (measured from the positive x-axis).

Vector equations can be useful in studying the geometry and properties of surfaces, such as determining their tangent planes, normal vectors, curvature, and surface area. They can also be used to parametrize surfaces for numerical calculations and simulations.

The surfaces described by the given vector equations are:

1.The surface is a hyperbolic paraboloid.

2.The surface is a part of a cylinder with radius 3 and axis parallel to the y-axis.

3.The surface is a plane parallel to the xy-plane and shifted upwards by 1 unit.

4.The surface is a twisted cylinder along the y-axis.

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The mean of samples 10, 10, 10, 10, 10, and 16 will be 11.

The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean. The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.

In a sample of n = 6, five individuals all have scores of x = 10 and the sixth person has a score of x = 16.

Then the data set will be given below.

10, 10, 10, 10, 10, 16

Then the mean of the data set will be

Mean = (10 + 10 + 10 + 10 + 10 + 16) / 6

Mean = 66/6

Mean = 11

Thus, the mean of the sample will be 11.

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In a situation where x is a nontrivial solution, then every entry in x should not be nonzero. Therefore, it's false.

A nontrivial solution simply means a system of equation where the determinant of the coefficient is zero. When x is a nontrivial solution of Ax = 0, then at least one entry should be nonzero.

The equation x= x2u + x3v, with x2 and x3 free (and neither u nor v a multiple of the other), describes a plane through the origin. This is true. Since they're free variables, the space span has dimensions and this spans through the origin.

The equation Ax = b is homogeneous if the zero vector is a solution. Since x = 0 is a solution. Therefore, Ax = b. Hence, b = 0.

The effect of adding p to a vector is to move the vector in a direction parallel to p. It should be noted that adding p to a vector moves it in a direction that's parallel.

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1)  the language L1 is accepted by this PDA.

2) the language L2 is accepted by this PDA.

To draw trans diagram of a PDA for the following languages, we need to proceed as follows:

(1) The language, L1 = {an c bn : n ≥ 0}, can be represented in the form of a PDA as follows:

We can explain the above trans diagram as follows:

Initial state is q0.

Stack is initiated with Z.

We make a transition to q1, upon reading a, push 'X' onto the stack.

We remain in q1 as long as we read 'a' and continue pushing 'X' onto the stack.

The transition is made to q2 when 'c' is read. In q2, we keep on poping 'X' and reading 'b'.

Once we pop out all the Xs from the stack, we move to the final state, q3.

Thus the language L1 is accepted by this PDA.

2) The language L2 = {an b2n : n ≥ 0}, can be represented in the form of a PDA as follows:

We can explain the above trans diagram as follows:

Initial state is q0.

Stack is initiated with Z.

We make a transition to q1, upon reading a, push 'X' onto the stack.

We remain in q1 as long as we read 'a' and continue pushing 'X' onto the stack.

The transition is made to q2 when 'b' is read.

In q2, we keep on poping 'X' and reading 'b'.

Once we pop out all the Xs from the stack, we move to the final state, q3.

Thus the language L2 is accepted by this PDA.

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Answer:

Trinity,   find the answers below

Step-by-step explanation:

for the 1st picture,  minor angels ∠1, ∠2, ∠3 are all the same as the shown angle of 130°

for the 2nd picture,  minor angles ∠2, ∠3 are the same as the shown angle of 80° and ∠1 is the adjacent angle to 80°, so it's 100° , because 180° - 80° = 100°

Answer:

Let 6 men (M1) working 8 hours (D1) earn $8400 (W1).

∴ 9 men (M2) working six hours (D2) earns:

M1 × D1/W1 = M2 × D2/W2

W2 = 8400 × 9 × 6/6 × 8

     = 9450

Step-by-step explanation:

Answer:

19.26

Step-by-step explanation:

Answer:25

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Since you have the adjacent value, the best way to do this is with tangent. You can do tan(50) = x/3. From there you multiply by 3, and get x = 3(tan50)

We can use the Laws of Logarithms to combine the expression. 3 ln(2) + 5 ln(x) - 1/2 ln(x + 4)  Let's begin with the Laws of Logarithms.The first law of logarithm is if logb M = logb N, then M = N. In other words, if the logarithm of two numbers have the same base, then the numbers are equal.

The second law of logarithm is logb (MN) = logb M + logb N, logb (M/N) = logb M - logb N, and logb (Mn) = n logb M, where M, N, and b are positive real numbers.

The third law of logarithm is logb (1/M) = -logb M, where M is a positive real number. Finally, the fourth law of logarithm is logb (Mb) = b, where M and b are positive real numbers such that b is not equal to 1.Now, we have the following: 3 ln(2) + 5 ln(x) − 1/2 ln(x + 4) = ln(2³) + ln(x⁵) - ln((x + 4)¹/²)Now, we can simplify this expression to: ln(8) + ln(x⁵) - ln√(x + 4) = ln(8x⁵/√(x + 4))Therefore, the expression can be combined as ln(8x⁵/√(x + 4)).

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The combined expression by the laws of logarithm is;

3ln(2)  * 5ln(x)/1/2ln(x + 4)

The laws of logarithms are mathematical rules that govern the manipulation and simplification of logarithmic expressions. These laws provide a set of rules to perform operations such as multiplication, division, exponentiation, and simplification involving logarithms.

We would have from the laws that;

Since in the logarithm addition means to multiply and subtraction means to divide;

3ln(2)  * 5ln(x)/1/2ln(x + 4)

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Answer:

a1 = 4 = -1.5an-1 an-1? Or= -1.5.

Step-by-step explanation:

We should choose Formulas as X in the given series of clicks to calculate formulas automatically.

File < Options < (A) Formulas < Automatic

We should choose Formulas as X in the given series of clicks to calculate formulas automatically.

Therefore, File < Options < (A) Formulas < Automatic

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The complete question is given below:

What would you choose as X in the given series of clicks to calculate formulas automatically: File < Options < X < Automatic?

a. Formulas

b. Language

c. Proofing

d. Advanced

The hypotheses for this test, given the 10% significance level are; Null hypothesis (H0): The occurrence of major birth defects is not significantly different in women who take folic acid supplements compared to those who don't take. Alternative hypothesis (Ha):

Women who take folic acid supplements experience a significant decrease in the occurrence of major birth defects. Hypothesis testing evaluates these two hypotheses by comparing the test score to the critical value. The critical value depends on the level of significance and the degrees of freedom.

The test score is calculated using the formula below;

test score = (p1 - p2)/sqrt(p(1-p)[1/n1 + 1/n2])Where p1 and p2 are the proportions of major birth defects in the two groups, n1 and n2 are the number of women in each group, and p is the pooled proportion.

Using the given data, we get;p1 = 31/213 = 0.145, p2 = 49/205 = 0.239, n1 = 213, n2 = 205p = (31 + 49)/(213 + 205) = 0.189test score = (0.145 - 0.239)/sqrt(0.189(1-0.189)(1/213 + 1/205)) = -2.15.

The p-value can be determined using statistical software or a standard normal distribution table. Using a standard normal distribution table, we can find that the p-value for a two-tailed test with a test score of -2.15 is 0.031.The decision rule is to reject H0 if the p-value is less than the level of significance. Since the p-value of 0.031 is less than the 10% significance level, we reject H0. Therefore, we can conclude that taking folic acid supplements significantly reduces the occurrence of major birth defects.

The hypotheses for this test, given the 10% significance level are:Null hypothesis (H0): The occurrence of major birth defects is not significantly different in women who take folic acid supplements compared to those who don't take.

Alternative hypothesis (Ha): Women who take folic acid supplements experience a significant decrease in the occurrence of major birth defects.

The test score calculated is -2.15. The p-value is 0.031. Since the p-value of 0.031 is less than the 10% significance level, we reject H0. Therefore, we can conclude that taking folic acid supplements significantly reduces the occurrence of major birth defects.

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