A police department reported that approximately 5% of the alarm calls they get each day are real emergencies and not false alarms. If they receive 120 alarm calls in one day, about how many of them would be false alarms?​

The solution of the equations 6x = 52 − 2y and 5x + 7y = 70 by elimination method will be (7, 5).

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

The equations are given below.

6x = 52 - 2y

6x + 2y = 52

3x + y = 26                   ...1

5x + 7y = 70

(5/7)x + y = 10              ...2

Subtraction equation 2 from equation 1, then we have

3x - (5/7)x = 26 - 10

(16/7)x = 16

x = 7

Then the value of 'y' is given as,

3(7) + y = 26

21 + y = 26

y = 5

The solution of the equations 6x = 52 − 2y and 5x + 7y = 70 by elimination method will be (7, 5).

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The volume of the rectangular prism is given as follows:

344 cubic yards.

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, as follows:

Volume = length x width x height.

Each ft is composed by 1/3 yards, hence the dimensions in yards are given as follows:

Hence the volume of the prism, in cubic yards, is given as follows:

V = 8.33 x 10.33 x 4

V = 344 cubic yards.

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Answer:

Kindly check explanation

Step-by-step explanation:

The oederd data :

33, 46, 49, 51, 53, 53, 53, 55, 56, 64, 64, 65, 68, 70, 71, 73, 74, 76, 79, 80

Stem Leaf

3 | 3

4 | 6 9

5 | 1 3 3 3 5 6

6 | 4 4 5 8

7 | 0 1 3 4 6 9

8 | 0

Key :

3 | 3 = 33

The first equation is:

(5 1/5)^5 = 25x

To solve for x, we need to simplify the left side of the equation first.

(5 1/5)^5 = (5 + 1/5)^5 = 6^5 = 7776

So,

7776 = 25x

Therefore,

x = 7776/25 = 311.04

For the second equation:

If (8 1/3)^2 = 4x, then x =

We need to simplify the left side of the equation first.

(8 1/3)^2 = (8 + 1/3)^2 = 9^2 = 81

So,

81 = 4x

Therefore,

x = 81/4 = 20.25

So the values of x that make each sentence true are 311.04 and 20.25, respectively.

As the coefficient of the cubic polynomial is positive its behavior as

x ⇒ ∞ is (D) y ⇒ ∞.

A polynomial function's final behavior is how its graph behaves as x gets closer to positive or negative infinity.

The graph's final behavior is determined by a polynomial function's degree and leading coefficient.

We know a polynomial end behavior is determined by the degree of the polynomial.

Given a function is a cubic polynomial which is of degree 3 and the coefficient is positive.

As the coefficient is positive the function f(x) will reach infinity as x approaches infinity.

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Answer:

D) 15/14

Step-by-step explanation:

Divide 3/7 by 2/5

Answer:

the empty boxes would both be 4

but it says only put the number one time in answer

so it would be 4

Step-by-step explanation:

The margin of error for the 90% confidence interval is 3.

To find the margin of error for a 90% confidence interval, we can use the formula:

Margin of Error = (Upper Limit - Lower Limit) / 2

Given the confidence interval (72, 78), where 72 is the lower limit and 78 is the upper limit, we can substitute these values into the formula to calculate the margin of error.

Margin of Error = (78 - 72) / 2

Margin of Error = 6 / 2

Margin of Error = 3

Consequently, the 90% confidence interval's margin of error is 3.

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Answer:

y=2x+1

Step-by-step explanation:

change -2x to 2x

for the differential equation to exhibit supercritical damping, the range of values for m is m > 0.

The general form of a second-order linear differential equation is:

ay'' + by' + cy = 0

where a, b, and c are constants. Comparing this with the given differential equation:

6mz'' + 8z' = 0

We can see that a = 6m, b = 8, and c = 0. The characteristic equation for this differential equation is:

6mλ^2 + 8λ = 0

Simplifying this equation by factoring out 2λ gives:

2λ(3mλ + 4) = 0

This equation has two roots:

λ1 = 0 and λ2 = -4/3m

The solution to the differential equation is then:

z(t) = c1e^λ1t + c2e^λ2t

where c1 and c2 are constants determined by initial conditions. For supercritical damping, we need λ2 to be negative, which means:

-4/3m < 0

Multiplying both sides by -3/4 gives:

m > 0

So, for the differential equation to exhibit supercritical damping, the range of values for m is m > 0.

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Answer:

One of the numbers is 23 and the other is 82

Step-by-step explanation:

x - y = 69

x/y = 4 and x = 4y now rewrite the first equation by replacing x with 4y since they are equal

4y - y = 69

3y = 69 divide both sides by 3

y = 23

Answer:

4 degrees Celsius

Step-by-step explanation:

It is asking for the change in temperature, or the difference. In word problems like this it is asking for subtraction.

So you just need to subtract the temperature at noon from the temperature at 8 am.

18 - 14 = 4 degrees

Answer:

4 degrees Celcius

Step-by-step explanation:

From 8 am to 12 pm is 4 hours. However, it is asking for the change in degrees from 18 degrees Celcius to 14 degrees Celcius.

It is asking for the change in temperature. In order to figure this out, you need to subtract. 18 - 14 = 4

Therefore, the change in degrees is 4 degrees Celcius.

\( \{ \: \alpha \: , \: \beta , \: a, \: b \}\)

\( \sf \longrightarrow \: No. \: of \: \: subsets = {2}^{n} \)

where, n denotes to number of elements in set .

Since, given set contains 4 elements .

Thus , 2⁴ {2 raise to power 4} .

\( \sf \longrightarrow \: No. \: of \: \: subsets = {2}^{4} \)

\( \sf \longrightarrow \: No. \: of \: \: subsets = 2 \times 2 \times 2 \times 2\)

\( \sf \longrightarrow \: No. \: of \: \: subsets = 4 \times 4\)

\( \sf \longrightarrow \: No. \: of \: \: subsets = 16\)

Therefore, Required subsets are 16.

They are , Namely;

\( \sf \longrightarrow \: subsets \: = \phi \: \{ \alpha \} \{ \beta \} \{ a\} \{ b\} \: \{ \alpha \beta \} \{ \alpha a\} \{ \alpha b\} \{ \beta a\} \{ \beta b\} \: .....\)

_____________________________

If n is the number of elements in the set then,

No. of subsets possible for this subset is 2^n that's the (2 raise to the power n).

Let's take another example, {1,2}

Here, n = 2

subsets =2^2 =4

Subsets = ϕ, {1}, {2},{1,2}

Note :- every set is a subset of itself i.e. {1,2} and ϕ is a subset of every set

In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.

The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."

When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.

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a. C = 5.00 + 0.75t

b. It will cost Elaine $23.00 to park her car for a full 24 hours at the parking lot.

(a) To represent Elaine's total parking cost, C, in dollars for t hours, we can use the following equation:

C = 5.00 + 0.75t

In this equation, the constant term 5.00 represents the flat fee for parking, and the term 0.75t represents the additional cost per hour based on the number of hours (t) the car is parked. By adding the flat fee to the hourly cost, we get the total parking cost for t hours.

(b) To find out how much it will cost Elaine to park her car for a full 24 hours, we can substitute t = 24 into the equation:

C = 5.00 + 0.75 * 24

Calculating this expression, we get:

C = 5.00 + 18.00

C = 23.00

Therefore, it will cost Elaine $23.00 to park her car for a full 24 hours at the parking lot.

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The sec 132 degrees 15 minutes in degrees is approximately -1.638 degrees.

The secant function, denoted as sec(x), is a trigonometric function that is defined as the reciprocal of the cosine function, cos(x).

In other words,

sec(x) = 1 / cos(x)

The secant function is defined for all values of x except for those where the cosine function is equal to zero, which corresponds to the values x = (2n+1)π/2 where n is an integer. At these points, the secant function is undefined.

To convert sec(132 degrees 15 minutes) to degrees, we first need to convert the angle to decimal degrees.

We know that 1 degree is equal to 60 minutes, so 15 minutes is equal to 15/60 = 0.25 degrees.

Therefore, the angle 132 degrees 15 minutes is equal to 132 + 0.25 = 132.25 degrees.

Now we can find the secant of this angle:

sec(132.25 degrees) = 1/cos(132.25 degrees) ≈ -1.638

So the answer is approximately -1.638 degrees.

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Answer:

\(\pm24\)

Step-by-step explanation:

To find the geometric mean of two numbers, you find their product and then take the square root of that product:

\(GM=\sqrt{16*36}=\sqrt{576}=\pm24\)

Answer: if those are the smaller parts then the other side has to be as big as the 2 together or more and if the 13 is the biggest part the other has to be something plus the 4 that makes 13 or more

Step-by-step explanation:

Answer:

the possible lenths are 13 or more

Answer:

41

Step-by-step explanation:

38+44=82

82/2= 41

I hope this helps! :)

Answer:

B.

Step-by-step explanation:

It can't be D because it positive and the number we are looking for is negative.

It can't be C because that would be -1/3 but -3/4 is closer 1. (Or in this case -1)

And Finally it can't be A because -3/4 is not a mixed number and is a part of one whole.

So, it would be B.

Hope this Helped! :}

The probability that each bill is a $1 bill is given as follows:

1/16.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

The bills are replaced, hence we consider that for each trial, there is a 1/4 probability of selecting a $1 bill, as one out of the four bills are of $1.

Hence the probability that each bill is a $1 bill is obtained as follows:

p = 1/4 x 1/4

p = 1/16.

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Answer:

5mph=20 hours to do 100 miles with a bicycle

10mph=10 hours to do 100 miles with a bicycle

15mph=6hours 40minutes(maybe)to do 100miles with a bicycle

20mph=5 hours to do 100miles with a bicycle

25mph=4 hours to do 100 miles with a bicycle

the faster u go the time will decrease

the slower u go the time will increase

hope that helped I didn't really understand much

Answer:

12 cubic cm

Step-by-step explanation:

\(V_{1\: cube} = \bigg( \frac{1}{2} \bigg )^{3} = \frac{1}{8} \: {cm}^{3} \\ \\ \implies \:V_{96\: cubes} = 96 \times \frac{1}{8} \: {cm}^{3} = 12\: {cm}^{3} \)

It is given that: prism is completely filled with 96 cubes.

\(\implies \: V_{prism} =V_{96\: cubes}\)

\(\implies \: \huge \red{V_{prism} = 12\: {cm}^{3}}\)

∠LMN is an obtuse angle.

==========================================

Explanation

Let's go through the answer choices to see which are true, and which are false.

Answer:

-3x -12

Step-by-step explanation:

-6x +3x = -3x

-3-9 = -12

Answer:

Step-by-step explanation:

number line with open circle on point negative 5 and arrow shaded to the right is the right description for the graph of the inequality.

inequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

let the number be x

so that 2.5 > -0.5x

dividing through by -0.5 we revert the inequality sign

2.5/-0.5 < x

-5 < x

Taking x to the other side we revert the inequality sign back to greater than

x > -5

In conclusion, number line with open circle on point negative 5 and arrow shaded to the right is the description of the graph

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Answer: D

Step-by-step explanation: I have proof! i got it right on test and i have a picture.

The amount it would cost to put a new floor in the closet is $76.00

From the question, we are to calculate how much it would cost to put a new floor in the closet

From the given information,

A closet in the house is 2 yards by 1 yard.

To determine how much it would cost to put a new floor in the closet,

First,

We calculate the area of the closet

Area of the closet = 2 yard × 1 yard

Area of the closet = 2 square yards

Now,

From the given information,

The flooring costs $38.00 per square yard

Thus,

The amount it would cost to put a new floor in the closet is

2 × $38.00

= $76.00

Hence,

The amount it would cost is $76.00

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Answer:

  0.0228

Step-by-step explanation:

A suitable probability calculator (or spreadsheet) can tell you this.

It is about 0.0228.