If the temperature drops from 7° to -17° by how much did the temperature decrease

Answer:

73.5

Step-by-step explanation:

Please find the complete question in the attached image

Remember the notation SOHCAHTOA

We would be using cos because we have been given the hypotenuse and we are to determine the adjacent value

cos 37 = adjacent / hypotenuse

cos 37 = adjacent / 92

0.7986 = adjacent / 92

adjacent = 0.7986 x 92 = 73.5

The probability that the sum of the die rolls is odd is 1, which is equivalent to 100% (option a.)

To find the probability that the sum of the die rolls is odd, we need to consider the possible outcomes of the coin tosses and die rolls.

There are four possible outcomes for the coin tosses: HH, HT, TH, and TT.

For each head (H) that results, one fair die is rolled. The sum of the die rolls will be odd if there is an odd number of dice rolled.

Let's analyze each outcome:

1. HH: In this case, both coins show heads, so two dice will be rolled. The sum of the dice can only be even (2, 4, or 6). Probability = 0.

2. HT: One coin shows heads and the other shows tails. One die will be rolled. The sum of the die can be odd (1, 3, or 5) or even (2, 4, or 6). Probability of odd sum = 1/2.

3. TH: Similar to the previous case, one die will be rolled, and the sum can be odd or even. Probability of odd sum = 1/2.

4. TT: Both coins show tails, so no dice are rolled, and the sum is 0. Probability of odd sum = 0.

Now, let's calculate the overall probability of an odd sum:

Probability of HT = 1/2

Probability of TH = 1/2

Total probability of an odd sum = Probability of HT + Probability of TH = 1/2 + 1/2 = 1.

Therefore, the probability that the sum of the die rolls is odd is 1, which is equivalent to 100%.

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Complete Question:

Two fair coins are to be tossed once. for each head that results, one fair die is to be rolled. what is the probability that the sum of the die rolls is odd? (note that if no die is rolled, the sum is 0.)

\((a) $1 \\\\(b) $\frac{1}{2}$ \\\\(c) $\frac{43}{72}$ \\\\(d) $\frac{5}{8}$ \\\\(e) $\frac{2}{3}$\)

Answer:

10

Step-by-step explanation:

*+2=1

Answer:

The answer to your question is 10

The word problem is "In a restaurant, the constant fee for a table is $ 16 and every food item costs $ 8 if a family wants to spend only $ 75 how many items they can order?"

and the inequality 8x + 16 ≤ 75.  

Inequality simply means that two things aren't equal. One of the items might be lower too, greater than, or equivalent to the other things.

Signs that can be used in Inequalities are

≠  means not equal  

<  means less than

>  means greater than

≤  means less than or equal

≥  means greater than or equal

Here we need to create a word problem that can lead to Writing an inequality in the form of Ax + B ≤ C.

The word problem can be written as follows

In a restaurant, the constant fee for a table is $ 16 and every food item costs $ 8 if a family wants to spend only $ 75 how many items they can order?

And the problem can be solved as follows

Let the family order x items

Then the amount can be spent by the family = 8x + 16

As we said the family wants to spend only $ 75

=> 8x + 16 must be less than $ 75

The inequality that can be represented is 8x + 16 ≤ 75  

Therefore,

The word problem is "In a restaurant, the constant fee for a table is $ 16 and every food item costs $ 8 if a family wants to spend only $ 75 how many items they can order?"

and the inequality 8x + 16 ≤ 75.  

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Hello!

2x² + 5x - 12

= (2x² + 8x) + (-3x - 12)

= 2x(x + 4) - 3(x + 4)

= (2x -3)(x + 4)

Answer:

\(\Huge \boxed{(2x - 3)(x + 4) }\)

Step-by-step explanation:

Step 1:

Multiply the coefficient of the \(x^2\) term (which is 2) by the constant term (which is -12):

Step 2:

Find two factors of -24 that add up to the coefficient of the \(x\) term (which is 5):

-3 and 8

Step 3:

Rewrite the middle term (5x) as the sum of the two terms found in step 2 (which are -3x and 8x):

Step 4:

Group the terms into two pairs, and factor out the greatest common factor from each pair:

Notice that both terms now have a common factor of \((2x - 3)\):

Therefore, the factorisation of \(2x^2 + 5x - 12\) is:

________________________________________________________

Answer:

2y=3x=-4

Step-by-step explanation:

grouping like terms

y+ly =4x-x=-4

2y=3x=-4

Answer:

The last option:

Minnesota, Pennsylvania, Michigan, Florida

Step-by-step explanation:

Coldest to warmest:

-20°C, -10°C, 0°C, 16°C

Then the order is:

Minnesota, Pennsylvania, Michigan; Florida

The solution to the inequality "Twice w is at least -18" is w ≥ -9.

We have,

The inequality "Twice w is at least -18" can be expressed mathematically as:

2w ≥ -18

To solve for w, we can divide both sides of the inequality by 2.

However, when dividing by a negative number, the inequality sign must be flipped. In this case, since we are dividing by 2 (a positive number), the inequality sign remains the same.

w ≥ -18 / 2

w ≥ -9

Therefore,

The solution to the inequality "Twice w is at least -18" is w ≥ -9.

This means that w must be greater than or equal to -9 for the inequality to hold true.

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The simplified expression is simply cos θ

To simplify the trigonometric expression cos θcscθ/cot θ, we can use the reciprocal identities and quotient identity.

Reciprocal identities:
csc θ = 1/sin θ
cot θ = 1/tan θ

Quotient identity:
tan θ = sin θ/cos θ

Using these identities, we can rewrite the expression as:

cos θ * (1/sin θ) / (1/tan θ)

Next, we can simplify the expression by multiplying the numerator and denominator by the reciprocal of the denominator:

cos θ * (1/sin θ) * (tan θ/1)

Simplifying further, we have:

cos θ * tan θ / sin θ

Finally, we can simplify by using the identity:

tan θ = sin θ/cos θ

cos θ * (sin θ/cos θ) / sin θ

Canceling out the sin θ in the numerator and denominator, we are left with:

cos θ / 1

Therefore, the simplified expression is simply cos θ.

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The simplified form of the trigonometric expression \(\[\frac{\cos(\theta) \csc(\theta)}{\cot(\theta)}\]\) is cos(θ).

To simplify the trigonometric expression \(\[\frac{\cos(\theta) \csc(\theta)}{\cot(\theta)}\]\), we can use the trigonometric identities to rewrite each trigonometric function in terms of sine and cosine.

Recall the following trigonometric identities:

\(\[ \csc(\theta) = \frac{1}{\sin(\theta)} \]\)

\(\[ \cot(\theta) = \frac{\cos(\theta)}{\sin(\theta)} \]\)

Substituting these identities into the expression, we have:

\(\[ \cot(\theta) = \frac{\cos(\theta)}{\sin(\theta)} \]\)

Next, we can simplify by multiplying the numerator by the reciprocal of the denominator:

\(\[\frac{{\cos(\theta) \csc(\theta)}}{{\cot(\theta)}} = \cos(\theta) \left(\frac{1}{{\sin(\theta)}}\right) \left(\frac{{\sin(\theta)}}{{\cos(\theta)}}\right)\]\)

The sin(θ) in the numerator cancels out with the sin(θ) in the denominator:

\(\[\frac{\cos(\theta) \csc(\theta)}{\cot(\theta)} = \cos(\theta) \cdot 1\]\)

\(\[\frac{\cos(\theta) \csc(\theta)}{\cot(\theta)}\] = cos(\theta)\)

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Aisha can work a minimum of 7 hours in the early morning and a maximum of 13 regular hours.

x: number of regular hours

y: number of early morning hours

The equation will be:

i) x + y = 20

ii) 7x + 8.5y = 150

Combining the equations

1.5y = 10 --> y = 10/1.5 = 20/3 = 6 2/3

x + 20/3 = 20 --> x = 40/3 = 13 1/3

She could work a minimum of 7 hours in the early morning and a maximum of 13 regular hours.

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The expression in terms of I, E, and Y will be E / (I - Y).

Given that:

Equation, I = E/X + Y

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Simplify the equation for X, then we have

I = E/X + Y

I - Y = E/X

X = E / (I - Y)

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The component of the data that a data analyst is most interested in is sample size.

Given,

To prevent results from being skewed or causing incorrect conclusions, we must identify the data element on which the data analyst should concentrate;

The data analyst;

A data analyst looks at data to uncover useful consumer insights and possible applications for the knowledge. They also tell the management of the business as well as other stakeholders of this information.

Although it is advisable for data analysts to have a foundational knowledge of statistics and mathematics, many of their responsibilities can still be carried out without it. However, knowledge in statistics, linear algebra, and calculus is often required for data analysts.

Here,

A data analyst's primary interest in the data is sample size

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A sample size of 329 would be required to be 99% confident that the estimated proportion of women-owned businesses not providing employee benefits is within 6 percentage points of the true population proportion.

To calculate the required sample size, we can use the formula:

n = (\(z^2\) * p * q) /\(e^2\)

where n is the sample size, z is the z-score corresponding to the desired level of confidence (in this case, 2.576 for 99% confidence), p is the estimated population proportion (0.165, based on the NWBC's finding), q is 1-p, and e is the maximum error we want to tolerate (in this case, 0.06 or 6 percentage points).

Substituting the values, we get:

n = (2.576^2 * 0.165 * 0.835) / \(0.06^2\)

Solving for n, we get:

n ≈ 329

Therefore, a sample size of 329 would be required to be 99% confident that the estimated proportion of women-owned businesses not providing employee benefits is within 6 percentage points of the true population proportion. Note that this assumes a simple random sample and that the population size is much larger than the sample size, so the finite population correction is not needed.

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The graph of f(x) = x is a straight line that passes through the origin and has a slope of 1. When g(x) = f(x) + 3, the entire graph of f(x) is shifted vertically upward by 3 units. This means that every point on the graph of f(x) is now 3 units higher on the y-axis.

Therefore, the graph of g(x) is also a straight line with the same slope as f(x) but with a y-intercept of 3. In other words, g(x) is f(x) shifted up by 3 units. Thus, the graphs of f(x) and g(x) are related by a vertical shift of 3 units on the coordinate grid.
The graphs of f(x) = x and g(x) = f(x) + 3 on the same coordinate grid are related as follows: The graph of g(x) is a vertical translation of the graph of f(x) by 3 units upwards. This means that each point on the graph of f(x) is shifted 3 units up to form the graph of g(x). The student plotted both graphs on the grid and noticed that the slope and the shape of the graphs are the same, indicating a direct relationship between the two functions. The key difference is the vertical position of the graphs due to the added constant in g(x).

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We accert H1 alternative that is result is population mean greater than 400.

There is a 2.1% chance than mean second Trimester weight gain for all expectant mothers is 14 pounds in 2015.

What is standard deviation?

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

We have given: μ = 14, x bar = 16, n = 40, s = 6,  α = 5%, = 0.05

To test μ0 : μ = 14   Vs  H1: μ > 14

Test statistics = (X bar - μx)√n / sx = (2 x 6.3245) / 6 = 2.1081

So, P value = 0.021

Conclusion: There is a 2.1% chance than mean second Trimester weight gain for all expectant mothers is 14 pounds in 2015.

P value for the hypothesis test

n = 50, x bar = 420, sx = 81, μ = 400,

To test:  H0: μ 400    Vs   H1:  μ > 400

It is right tail test

Test statistics =  (X bar - μx)√n / sx = (420 - 400) √50 / 81 =

z = 1.7459

P value = 0.04093

Declsion: We reject H0 is p value < α

Here α = 0.05

Hence P value < α

Conclusion: We accert H1 alternative that is result is population mean greater than 400.

Hence, we accert H1 alternative that is result is population mean greater than 400.

There is a 2.1% chance than mean second Trimester weight gain for all expectant mothers is 14 pounds in 2015.

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Answer:

Cos E= 24/25

Step-by-step explanation:

Length of hypotenuse: 7^2+24^2=625. 625 square root=25

Thus, DE is 25.

Sin D= 24/25, so that is false.

Tan D= 24/7, so that is false.

Cos E= 24/25, so that is true

Sin E= 7/25, so that is false.

Answer:

The answer for the unknown would be:

-12

Step-by-step explanation:

This is because ,

5n+26=19

5n+26=19

31n-31n=19-31n

therefore, (unknown) n= -12

The number will be -1.4 such that the sum of 5 times and 26 is 19.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Let's say that number is x

Then,

5 times = 5x

So,

5x + 26 = 19

5x = -7

x = -7/5 = -1.4

Hence "The number will be -1.4 such that the sum of 5 times and 26 is 19".

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\( = (8^{ \frac{4}{2} } \times 6^{ \frac{4}{2} } )^{ \frac{2}{3} } \\ = (8 \times 6)^{ \frac{4}{2} \times \frac{2}{3} } \\ = (8 \times 6)^{ \frac{8}{6} } \\ = (8 \times 6)^{ \frac{4}{3} } \\ = 8 ^{ \frac{4}{3} } \times 6^{ \frac{4}{3} } \)

FIRST OPTION IS THE ANSWER!

The house was in the shape of an octagon, with eight separate bedrooms on each side.

The house described in the statement has an octagonal shape. An octagon is a polygon with eight sides, characterized by its eight equal angles. In this case, each side of the house corresponds to one of these angles, resulting in eight separate bedrooms on each side of the octagonal structure.

The choice of an octagon as the shape of the house can have various implications. Octagonal buildings are often admired for their unique architectural design and aesthetic appeal. The shape provides symmetry and balance, allowing for an interesting and visually pleasing structure. Additionally, an octagonal layout can offer practical advantages in terms of space utilization and room distribution. In the case of the house described, each side of the octagon accommodates a separate bedroom, providing privacy and ample living space for its occupants. The symmetrical arrangement of the bedrooms around the central area of the house could create a harmonious and well-organized living environment. Overall, the octagonal shape of the house with eight separate bedrooms on each side offers both architectural and functional benefits.

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#9. C

A negative sign on the outside of the function indicates a reflection in the y-axis.

A negative sign on the inside of the function (attached to the x) indicates a reflection in the x-axis.

Hope this helps!

Answer:

The solution to the system of equations will be:

(x, y) = (2, -2)

Step-by-step explanation:

Given the system of equations

y=2x-6

y=-x

Solving the system of equations

\(\begin{bmatrix}y=2x-6\\ y=-x\end{bmatrix}\)

Substitute y = -x in y = 2x-6

y = 2x-6

-x = 2x-6

6 = 2x + x

3x = 6

divide both sides by 3

3x/3 = 6/3

x = 2

Now substitute x = 2 in y=-x

y=-x

y = -2

Therefore, the solution to the system of equations will be:

(x, y) = (2, -2)

The solutions to the quadratic equation using completing the square method are  x = -(√109)/2 - 5/2 and x = (√109)/2 -5/2.

Given the quadratic equation in the question;

To solve using  completing the square method, first add 21 to both sides

x² + 5x - 21 = 0

x² + 5x - 21 + 21 = 0 + 21

x² + 5x = 21

Next, create a trinomial square on the left side of the equation, determine the value that is equal to the square of half of b which is 5.

( b/2 )² = ( 5/2 )²

Now, add ( 5/2 )²  to both sides of the equation

x² + 5x + ( 5/2 )² = 21 + ( 5/2 )²

Simplify

x² + 5x + 25/4 = 21 + 25/4

Add 21 and 25/4

x² + 5x + 25/4 = 109/4

Factor the perfect trinomial.

x² + 5x + 25/4 = 109/4

( x + 5/2 )² = 109/4

Solve for x by taking the square root of both sides.

x + 5/2 = ±√( 109/4 )

x = -5/2 ±√( 109/4 )

x = ±(√109)/2 -5/2

x = -(√109)/2 - 5/2, (√109)/2 -5/2

Therefore, the solutions to are x = -(√109)/2 - 5/2 and x = (√109)/2 -5/2.

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Answer:

This is a function

Step-by-step explanation:

It's a function because those x's that repeat has the same y's meaning that this is a function.

Answer:

yes (i think)

Step-by-step explanation:

none of the x values are shared by different multiple y values, so yes it is a function.

After 2.5 hours, the trains will be 225 miles apart. To find the time it takes for the two trains to be 225 miles apart, we can use the concept of relative velocity. The trains are moving in opposite directions, so their speeds add up.

The combined speed of the two trains is 50 mph + 40 mph = 90 mph.

To calculate the time it takes for them to be 225 miles apart, we divide the distance by the relative speed:

Time = Distance / Speed

Time = 225 miles / 90 mph

Time = 2.5 hours.

Therefore, after 2.5 hours, the trains will be 225 miles apart.

The answer is option B: 2 1/2.

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Answer:

the answer is A

Hoped that helped:)

The steps to find the depth through which the storm submerges the lowest parts of the Pensacola Beach is given below.

As it has been given in the question, Pensacola beach is located 5-10 feet above sea level.

The ocean water rises upto 5.5 feet during a storm

Hence you need to add up the height of the highest tide on 16 September to 5.5 feet.

If the combined height of the highest tide and the storm tide is greater than 10 feet, then the whole Pensacola beach submerges.

You just subtract the combined height of the storm and the highest tide from the height of the beach.

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Portions of Pensacola Beach, a coastal community built on a barrier island, are located at 3 - 10 feet above sea level.

Hurricane Sally, which struck Pensacola on September 16, 2020 and brought a 5.5 foot storm.

Combined with a high tide on September 16,202, by how many feet did that storm surge submerge the lowest parts of Pensacola Beach? (Hint: use the information in question and change the date on the tidal chart to September 16, 2020) Now, compare your answers above, and think about how the type (pattern) and size of the tides differ for these two locations

Answer: Its b.

Step-by-step explanation: The hypothenuse is the biggest number and the leg is the two shortest numbers.

Answer:

Step-by-step explanation:

area = xy = 30 in²

y = 30/x

Answer:

30/x

Step-by-step explanation:

rsm

Answer: 20 inches

Step-by-step explanation:

From the question, a television screen has a length of 15 inches while the diagonal of the TV is 25 inches. To calculate the width, we will use the hypoteneous rule.

Hypotenuse² = length² + width²

25² = 15² + width²

width² = 25² - 15²

width² = 625 - 225

width² = 400

width = ✓400

width = 20

The width of the TV is 20 inches.