A digital camcorder repair service has set a goal not to exceed an average of 5 working days from the time the unit is brought in to the time repairs are completed. A random sample of 12 repair records showed the following repair times (in days): 5, 7, 4, 6, 7, 5, 5, 6, 4, 4, 7, 5.
H0: \mu \leq 5 days versus H1: \mu > 5 days. At \alpha = .05, choose the right option.
a) Reject H0 if tcalc < 1.7960
b) Reject H0 if tcalc >1.7960

Answer:

210 is the answer

Answer:

6x + x = 35

Step-by-step explanation:

7x = 35

x = 5

6*5= 30 ibs

it is dog weight

make it braintliest please

Answer:A

Step-by-step explanation: Its the first one because it has to first start with a fraction and 2/11 is smallest and it keeps on getting higher.

Hope this helps :)

Answer:

A

Step-by-step explanation:

hope this helps lol...

Answer:

The answer for log(ab²) is x + 2y.

Step-by-step explanation:

You have to apply Logarithm Law,

\( log(a) + log(b) \: ⇒ \: log(a \times b) \)

\( log( {a}^{n} ) \: ⇒ \: n log(a) \)

In this question, you have to seperate it out :

\( log(a {b}^{2} ) = log(a) + log( {b}^{2} ) \)

\( log( {b}^{2} ) = 2 log(b) \)

\(let \: log(a) = x\)

\(let log(b) = y\)

\( log(a {b}^{2} ) = log(a) + 2 log(b) \)

\( log(a {b}^{2} ) = x + 2y\)

We conclude that after 7/4 years the value of the jet ski is $4,784

The value of the jet ski is given by the exponential equation:

f(t) = 8,500*(0.72)^t

Where t is the time in years, to get the value of the jet ski after 7/4 years, we just need to evaluate the above function in t = 7/4, where evaluating means that we need to replace the variable t by the given number, then we will get:

f(7/4) = 8,500*(0.72)^(7/4) = 4,783.55

If now we need to round it to the nearest dollar, then we round upwards to 4,784

In this way, we conclude that after 7/4 years the value of the jet ski is $4,784

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Answer:

the correct answer is 193

Step-by-step explanation:

25×1-0=25

25×2-1=49

49×2-1=97

97×2-1=193

Answer:

238 square feet

Step-by-step explanation:

Answer:

245 square feet.

Step-by-step explanation:

7 times 7 is 49

49 times 5 because there is 5 feet

= 245

Step-by-step explanation:

4*1 = 4

this indicates multiplication

8/9 = 0.88888888888 which when simplified would go back to 8/9 or .889

8 "over" 9 indicates division!

Answer:

9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.

Step-by-step explanation:

An integer that has 12, 20, and 28 as factors must be divisible by the least common multiple (LCM) of these numbers. The LCM of 12, 20, and 28 is 420. So we need to find the number of integers between 2023 and 5757 that are divisible by 420.

The first integer greater than or equal to 2023 that is divisible by 420 is 5 * 420 = 2100. The last integer less than or equal to 5757 that is divisible by 420 is 13 * 420 = 5460. So the integers between 2023 and 5757 that are divisible by 420 are 2100, 2520, ..., 5460. This is an arithmetic sequence with a common difference of 420.

The number of terms in this sequence can be found using the formula for the nth term of an arithmetic sequence: an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, d is the common difference, and n is the number of terms. Substituting the values for this sequence, we get:

5460 = 2100 + (n - 1)420 3360 = (n - 1)420 n - 1 = 8 n = 9

So there are 9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.

The exponential function of the given graph is y = 4ˣ

Exponential function:

the general form of the exponential function is written as,

y = aˣ

Where

a > 0 and a ≠ 1.

Here a is called the base and x is called the exponent.

Given,

Here we have the graph and the point (2,16)

Now, we have to find the exponential function form this graph and point.

We already know that the general form of the exponential function is

y = aˣ

Here we have point (2,16), now we have to apply this point value on the general form in order to find the value of a,

So, when we apply the point values, then we get,

16 = a²

Now, move the power value to the other side, then we get,

a = √16

a = 4

Therefore, the exponential function of the given graph is,

y = 4ˣ

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Explanation:

To find out how many scarfs you can make with 15 balls of yarn we have to divide 15 by 3/5, because with 3/5 you can make 1 scarf:

Answer:

WIth 15 balls of yarn you can make 25 scarfs

Answer:

\(\frac{\pi }{4} +\frac{\pi }{2} n,\)  where n∈Z.

Step-by-step explanation:

2sin²x-1; ⇒ sin²x=1/2;

\(\left[\begin{array}{ccc}sinx=-\frac{1}{\sqrt{2}} \\sinx=\frac{1}{\sqrt{2}} \end{array} \ = > \ \left[\begin{array}{ccc}x=(-1)^{l+1}\frac{\pi }{4}+\pi l \\x=(-1)^k\frac{\pi }{4}+\pi k \end{array} \ = > x=\frac{\pi }{4} +\frac{\pi }{2}n, \ n-Z.\)

So

x:-

The equivalenet expression is 54\(n^{-11}\)

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression.

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

To simplify the given expression, we need to apply the power of a power rule, which states that to raise a power to another power, we need to multiply the exponents.

Starting with:

(\(6n^-5\))(\(3n^-3\))²

We can simplify as follows:

(\(6n^-5\))(\(9n^-6\))

Now, we can use the product of powers rule, which states that when multiplying two powers with the same base, we add their exponents.

Therefore:

6 x 9 = 54

\(n^-5 * n^-6 = n^-11\)

So the simplified expression is:

\(54n^-11\)

Therefore, the expression \((6n^-5)(3n^-3)^2\) is equivalent to \(54n^-11.\)

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The expression that is equal to (6n-5)(3n-3) option D, 54n11.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

We can use the distributive property of multiplication to expand the expression (6n - 5)(3n - 3) as follows:

(6n - 5)(3n - 3) = 6n(3n) - 6n(3) - 5(3n) + 5(3)

                 = 18n² - 18n - 15n + 15

                 = 18n² - 33n + 15

Therefore, the expression that is equivalent to (6n - 5)(3n - 3) is 18n² - 33n + 15, which is option D.

So, the answer is option D, 54n11.

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The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer:

1 1/8

Step-by-step explanation:

Answer:

25 ft tall

Step-by-step explanation:

divide 1250 by 50

i think its right lol.

Answer:

A. Using the lens equation, 1/p + 1/q = 1/f, and substituting f = 5 cm and q = 7 cm, we can solve for p:

1/p + 1/7 = 1/5

Multiplying both sides by 35p, we get:

35 + 5p = 7p

Simplifying and rearranging, we get:

2p = 35

Therefore, the distance from the lens to the object, p, is:

p = 35/2 cm

B. Solving the lens equation, 1/p + 1/q = 1/f, for q, we get:

1/q = 1/f - 1/p

Substituting f = 5 cm, we get:

1/q = 1/5 - 1/p

Multiplying both sides by 5qp, we get:

5p = qp - 5q

Simplifying and rearranging, we get:

q = 5p / (p - 5)

Therefore, the expression that gives q as a function of p is:

q = 5p / (p - 5)

C. Here is a sketch of the graph of q(p):

The graph is a hyperbola with vertical asymptote at p = 5 and horizontal asymptote at q = 5. The image distance q is positive for object distances p greater than 5, which corresponds to a real image. The image distance q is negative for object distances p less than 5, which corresponds to a virtual image.

D. Taking the limit of q as p approaches infinity, we get:

lim q(p) = 5

This represents the horizontal asymptote of the graph. As the object distance becomes very large, the image distance approaches the focal length of the lens, which is 5 cm.

Taking the limit of q as p approaches 5 from the positive side, we get:

lim q(p) = -infinity

This represents the vertical asymptote of the graph. As the object distance approaches the focal length of the lens, the image distance becomes infinitely large, indicating that the lens is no longer able to form a real image.

In order for the lens to form a real image, the object distance p must be greater than the focal length f. When the object distance is less than the focal length, the lens forms a virtual image.

Answer:

12

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

Lets re- write the numbers in growing order.

2,3,4,6,7,10,10

The number that stays exactly in the middle of the the sequence is the median.

Number 6 stays in the middle. So 6 is the median

Answer

Step by step explanation

Given data : 4 , 3 , 2 , 10 , 10 , 6 , 7

Arranging the data in ascending order, we have,

2 , 3 , 4 , 6 , 7 , 10 , 10

Here, n ( total number of items) = 7

Now, position of median:

\( {( \frac{n + 1}{2}) }^{th} \) item

plug the value

\( = {( \frac{7 + 1}{2} )}^{th} \) item

Add the numbers

\( =( { \frac{8}{2} )}^{th} \) item

Divide

\( = {4}^{th} \) item

i.e 4th item is the median

Median = 6

------------------------------------------------------------------------

Further more explanation:

Let's take another example:

please see the attached picture.

In the above series, the numbers are arranged in ascending order. Here, the fourth item 17 has three items before it and three items after it. So, 17 is the middle item in the series. 17 is called the median of the series.

Thus, Median is the value of the middle - most observation, when the data are arranged in ascending or descending order of magnitude.

Hope I helped..

Best regards!!

EXPLANATION:

Given;

We are told that Ted bought a shirt and a pair of shoes and had some change left. However, we do not know how much money he had at first.

Required;

We are required to calculate the amount of money he had before spending on a shirt and shoes.

Step-by-step solution;

To solve this math problem, we would start by setting up the following equation;

ANSWER:

Option C is the correct answer. $154

The straight line has the equation, y = 5x - 4.

A straight line is made up of an infinite number of points that are joined on both sides of the point.

Any straight line's slope 'm' is given by:

m = y2 - y1 / x2 - x1

In slope-intercept form, a linear equation has the formula y = mx + b. The variables in the equation are X and Y. The values m and b represent the slope (m) of the line and the value of y when x = 0.

The obtained points from the graph are (0,-4) and (1,1)

The slope is ,

m = 1-(-4) / 1-0

   = 5/1

   = 5

Because it intersects the y-axis at the point where the intercept C = -4,

The line's equation will be:

⇒ y = mx + c

⇒ y = 5x + (-4)

⇒ y = 5x - 4

As a result, the equation for the straight line shown below is y = 5x - 4.

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Therefore, the equation of the line passing through the point (1,5) with a slope of 7 is y = 7x - 2.

The equation of a line in the point-slope form is given by the following equation:

y-y_1 = m(x-x_1)

where m is the slope of the line and (x1, y1) is any point on the line.

Therefore, we can write the equation of the line passing through the point (1,5) with a slope of 7 as follows:

y-5 = 7(x-1)

Expanding the right-hand side of the equation gives:

y-5 = 7x-7

Adding 5 to both sides of the equation gives:

y = 7x-2

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The equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

To calculate the equivalent ratio of 1.25 : 3.75 : 7.5, we need to find a common multiplier that can be applied to all the numbers in the ratio to make them whole numbers. In this case, the common multiplier is 4 because it can be multiplied to each number to eliminate the decimals.

By multiplying each number in the ratio by 4, we get:

1.25 * 4 = 5

3.75 * 4 = 15

7.5 * 4 = 30

So the equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

This means that the relative sizes or quantities represented by the original ratio are maintained in the equivalent ratio. For example, if we had 1.25 units of something, it would be equivalent to 5 units in the new ratio, and if we had 7.5 units, it would be equivalent to 30 units in the new ratio.

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Answer:

a² + b² = c²

13² + 13² = c²

169 + 169 = c²

338 = c²

c = √338 or 18.385 or 13√2

Answer:

18.4

Step-by-step explanation:

13² + 13² = x²

169 + 169 = x²

338 = x²

x = 18.38477....

Step-by-step explanation:

Um sorry but I can not see the image clearly so I think that is why no one is answering. Sorry. No offense.

Answer:

x = -7

Step-by-step explanation:

Firstly, under the rule of opposite vertical angles, you know that any angles opposite of each other in a cross section have the same degree measure.

Therefore the last remaining angle in the triangle will be 85 degrees, since it is vertically opposite of the 85 degree angle.

Next, you know that all three angles of a triangle MUST equal 180 degrees to be considered a complete triangle.

Therefore, use the equation below to solve for x:

180 = 54 + 85 + (48 + x)

x = 180 - 54 - 85 -48 = -7

Answer:

3

Step-by-step explanation:

Ascending order:

4 ,4 , 4 ,4 ,5, 6 ,7 , 7 ,7

9 data: split in

4 ,4 , 4 ,4   |   5   |   6 ,7 , 7 ,7

4 ,4   |   4 ,4   |   5   |   6 ,7   |   7 ,7

(7+7)/2-(4+4)/2

=7-4

=3

777.6 cubic ft is the volume of the shed that Lorie ordered to hold her gardening supplies.

The volume of a rectangular prism is expressed as;

V = w × h × l

Where w is the width, h is height and l is length

Given the data in the question;

To determine the volume of the shed, plug the given values into the above formula and simplify.

V = w × h × l

V = 12 ft × 3 1/5 ft × 20.25 ft

V = 12 ft × 3.2 ft × 20.25 ft

V = 12 ft × 64.8 ft²

V = 777.6 ft³

Therefore, the volume of the shed is 777.6 ft³.

Option B is the correct answer.

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The expected value of a $2 ticket is $0.63

To calculate the expected value of a $2 ticket, we need to multiply the probability of winning by the value of the prize, then sum those products:

The Probability of winning the grand prize = 1/2000

Product: (1/2000) x $500 = $0.25

The Probability of winning a secondary prize: 3/2000

Product: (3/2000) x $200 = $0.30

The Probability of winning a third level prize: 8/2000

Product: (8/2000) x $20 = $0.08

The sum of the products:

$0.25 + $0.30 + $0.08 = $0.63

So the expected value of a $2 ticket is $0.63, meaning that on average, a person can expect to win $0.63 for every $2 they spend on a ticket.

The charity is expected to make a profit, which is why the answer is negative.

That is -$2 + $0.63 = -$1.37

So the expected profit for the charity per ticket sold is -$1.37, which is approximately the same as the given answer of negative $1.358(rounding off)

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9514 1404 393

Answer:

  Translation

Step-by-step explanation:

When constant values are added to x and/or y, the result is translation.

Answer:

see below

Step-by-step explanation:

Addition and subtraction are both closed under polynomials.

That means that when we add and subtract polynomials, we will end up with a polynomial

f(x) + g(x) will =  always be a polynomial when we start with polynomials

f(x) - g(x) will =  always be a polynomial when we start with polynomials

Answer:

\(\boxed{\mathrm{view \: explanation}}\)

Step-by-step explanation:

A polynomial is an expression consisting of variables and coefficients.

\(f(x)\) and \(g(x)\) are polynomial functions.

Adding polynomials and subtracting polynomials is essentially combining like terms of polynomial expressions.

\(f(x)+g(x)\) is always a polynomial

\(f(x)-g(x)\) is always a polynomial

If you add, subtract or multiply any two polynomials then the result will be always a polynomial.