Consider a drug that is used to help prevent blood clots in certain patients. In clinical trials, among 6,209 patients treated with this drug, 160 developed the adverse reaction of nausea. Use 0.01 a significance level to test the claim that 3% of users develop nausea. Does nausea appear to be a problematic adverse reaction?

there is a total of 4 possible outcomes. In 2 of then, we have a head on the first toss. Therefore, the probability of getting a head on the first toss is 2/4 = 1/2 (or 0.5).

Answer:

Step-by-step explanation:

If f(x)=x²+4 then (fof⁻¹)(x)=(f⁻¹of)(x)=x is proved

A relation is a function if it has only One y-value for each x-value.

Composite functions are when the output of one function is used as the input of another.

If f(x)=x²+4

Then we have to prove f⁻¹of(x)=f⁻¹(f(x)

Let us consider fof⁻¹(x)

f(f⁻¹(x))

x

So (fof⁻¹(x))=x

Now f⁻¹of(x)=f⁻¹(f(x)

=x

Hence, If f(x)=x²+4 then (fof⁻¹)(x)=(f⁻¹of)(x)=x is proved

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Here using the correct order of operations that is PEMDAS, we get the value to be 13.

PEDMAS can be summed up as a mathematical acronym that lists the various arithmetic operations in order of greatest to least practical use.

The letters stand for:

P stands for parentheses.

Exponents are shown as E.

D stands for division.

The letter M stands for multiplication.

A stand for addition.

S stands for subtraction.

Now in the given question,

15 - (4-3)2

First the parentheses

15 - (1)2

Next is exponents.

15 - 2

At last, after subtracting, we get:

13

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Answer:

2500

Step-by-step explanation:

$10 times 52 is $520 a day so multiply 520 times 5 and you get $2600 so round that and it is $2500

Answer:66

Step-by-step explanation:

Answer:

the probability is %25 percent :P

Step-by-step explanation:

Answer:

C = 36°, 57°, 87°

Step-by-step explanation:

scalene = all angles are different.

acute = all angles are under 90°.

triangle = all angles add up to 180°.

The only option that works for this is C) 36°, 57°, 87°

You have to find three consecutive odd integers whose sum is equal to three.

Let "x" represent the first odd integer.

Then "x+2" will represent the next odd integer.

And "x+4" will represent the third consecutive odd integer.

As mentioned, the sum of the three integers adds up to 3 so that:

From this expression, you can calculate the value of the first integer "x".

-Erase the parentheses, order the like terms and s

\(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.

The given fraction is \(1\frac{3}{4}\).

\(1\frac{3}{4}\) feet can be written as a multiplication expression as follows: 1 foot × 1 3/4. This is because \(1\frac{3}{4}\) is the same as 1 + 3/4.

Furthermore, 3/4 can be written as 0.75, which is the same as 0.75 × 1 foot.

Therefore, the multiplication expression is 1 foot × \(1\frac{3}{4}\) = 1 foot × (1 + 0.75) = 1 foot × 1 + 1 foot × 0.75 = 1 foot + 1.75 feet.

Therefore, \(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.

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Step-by-step explanation:

1ft=12in

1¾ft=x

x=12×7/4=21in

1¾ft=1¾×1 ft

The height of the trapezoid is 3.636 in.

Videos of quantity does that explains the size of two dimensional figure are safe or planner lamania in the plane. It is be thought of as the amount of surface that is safe covers calculating the area of a safe or surface can be an important step in many mathematical problem there are several methods for calculating area including the use of geometric formula and equations as well as using tools such as ruler or calculator.

To solve this problem, we must use the formula for finding the area of a trapezoid. A trapezoid has two parallel sides, known as the bases, and two non-parallel sides, known as the legs. The area of a trapezoid is equal to the sum of the bases multiplied by the height, then divided by two. Therefore, the formula to solve this problem is: A = (b1+b2)h/2.

In this case, b1 = 18 in and b2 = 22 in, and we are looking for the height (h). Plugging these values into the formula, we get: A = (18 + 22)h/2 = 96 in². To solve for h, we can multiply both sides of the equation by 2: 96 = (18 + 22)h. Then, subtract 18 from both sides of the equation: 78 = 22h. Finally, divide both sides of the equation by 22: h = 78/22 = 3.636 in. Therefore, the height of the trapezoid is 3.636 in.

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Answer:

the anser of this question for a is 17

Step-by-step explanation:

all sides are the same

The individuals in this data set are the different apartment complexes: Grand Vistas, Maple Ridge, Old Mill, and Willow Brook.

The individuals in this data set are the different apartment complexes that Camille is comparing. The data provides information on the complex name, number of bedrooms and bathrooms, rent amount, whether rent includes heat, and the amenities offered.

Grand Vistas:

Bedrooms: 2

Bathrooms: 2

Rent: $990

Rent includes heat: No

Amenities: Fitness center, pool

Maple Ridge:

Bedrooms: 2

Bathrooms: 1.5

Rent: $685

Rent includes heat: Yes

Amenities: Fitness center, pool

Old Mill:

Bedrooms: 2

Bathrooms: 1.5

Rent: $790

Rent includes heat: No

Amenities: Pool

Willow Brook:

Bedrooms: 2

Bathrooms: 2

Rent: $885

Rent includes heat: No

Amenities: Jacuzzi

Each apartment complex is represented as an individual in the data set. Camille has collected specific details for each complex, including the number of bedrooms and bathrooms, the rent amount, whether heat is included in the rent, and the amenities provided.

This data set allows Camille to compare different apartment complexes based on these attributes. She can evaluate factors such as rent prices, included amenities, and the presence of heat in the rent. This information will assist Camille in making an informed decision about which apartment complex may be the most suitable for her needs and preferences.

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Answer:

3148

Step-by-step explanation:

5000-1852=3148

A Clayton family can therefore employ 10,000 different codes to access their house.

In actuality, the habit of numbering to ten on the fingers is what gave rise to the custom of calling numbers by their digits. The English term "number" is derived from the Latin word digits, which originally meant "finger or toe." If the code is made up of four digits, and each digit can be any number from 0 to 9, then there are 10 possible choices for each of the four digits.

Hence, there are a total of the following codes:

10 x 10 x 10 x 10 = 10,000

Hence, the Clayton family has 10,000 different possible entry codes.

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Answer:

67.5=discount

382.5= Sale Price

Total=409.27

Step-by-step explanation:

450/100=4.5

4.5*15=67.5

67.5=discount

450-67.5

382.5= Sale Price

382.5(1.07)

Total=409.275

Answer:

A, (13/3 x 5/13)

Step-by-step explanation:

So first, you should change the mixed numbers into improper fractions.  To convert, just multiply the whole number by the denominator and add the numerator.  Do that to both fractions and you should get 13/3 ÷ 13/5.  Since you need to switch to multiplication, switch the sign and flip that fraction/  That asnwer is 13/3 x 5/13.  Hope that helps!  :)

Answer:

B on edge 2021

hope this helped

Step-by-step explanation:

The tοtal prοductiοn fοr fοοd shοuld be $1,000,000.

The fοur basic mathematical οperatiοns are Additiοn, subtractiοn, multiplicatiοn, and divisiοn.

Let F and B be the prοductiοn οf fοοd and building, respectively, in dοllars. Then, we have the fοllοwing system οf equatiοns:

Fοr the prοductiοn οf fοοd:

F = 0.20F + 0.25B + 100,000

0.20F + 0.15B = 100,000

Fοr the prοductiοn οf building:

B = 0.20F + 0.25B + 200,000

0.25B + 0.20F = 200,000

We can sοlve this system using substitutiοn οr eliminatiοn. Here, we will use eliminatiοn:

0.20F + 0.25B = 200,000 (multiply the secοnd equatiοn by -1)

0.20F + 0.15B = 100,000

0.10B = 100,000 - 0.10F (subtract the secοnd equatiοn frοm the first)

B = 1,000,000 - F

Substitute this expressiοn fοr B intο οne οf the equatiοns tο sοlve fοr F:

0.20F + 0.25(1,000,000 - F) = 200,000

0.20F + 250,000 - 0.25F = 200,000

-0.05F = -50,000

F = 1,000,000

Hence, the tοtal prοductiοn fοr fοοd shοuld be $1,000,000.

We can substitute this value intο either equatiοn tο sοlve fοr B:

0.20(1,000,000) + 0.15B = 100,000

0.15B = -80,000

B = -533,333.33

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Answer:

Step-by-step explanation:

sin (B) = \(\frac{2}{5}\)

Answer:

i d k the answer right now but u can use photomath and u will get your answer hope this helped

the answer is -7

The correct answer is:

a = 43%

b = 88%

To determine the values of a and b in the relative frequency table, we need to analyze the information provided in the Venn diagram and the given table.

From the Venn diagram, we can gather the following information:

The circle labeled "satellite" has a value of 55.

The circle labeled "cable" has a value of 75.

The overlap between the two circles is labeled as 12.

Using this information, we can complete the table:

First column - "Satellite":

Entries: Satellite, Not satellite, Total

Total: 55 (as given in the Venn diagram)

Second column - "Cable":

Entries: Blank, 51%, Blank

To find the value for the "Cable" entry, we need to subtract the overlap (12) from the total number of cable users (75).

Cable: 75 - 12 = 63

Therefore, the entry becomes: Blank, 51%, Blank

Third column - "Not Cable":

Entries: a, b, Blank

To find the value for "a," we subtract the overlap (12) from the total number of satellite users (55).

a: 55 - 12 = 43

To find the value for "b," we subtract the overlap (12) from the total number of households (100).

b: 100 - 12 = 88

Therefore, the entries become: 43, 88, Blank

Fourth column - "Total":

Entries: Blank, Blank, 100%

The total number of households is given as 100% (as stated in the question).

Therefore, the values of a and b in the relative frequency table are:

a = 43% (rounded to the nearest percent)

b = 88% (rounded to the nearest percent)

Hence, the correct answer is:

a = 43%

b = 88%

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The domain of the function represented in the graph will be 20 ≤ x ≤ 60, or x is from 20 to 60. Then the correct option is D.

A line segment in mathematics has two different points on it that define its boundaries.

A line segment is sometimes referred to as a section of a path that joins two places.

Six-year-old students at an elementary school were given a 20-yard head start in a race. The graph shows how far the average student ran in 30 seconds.

A line graph with Distance, in yards, on the x-axis and Age of the Runner on the y-axis. The x-axis has a scale from 0 to 80 in increments of 10. The y-axis has a scale of 0 to 8 in increments of 2. A straight line connecting 20, 6, and 60, 6 is drawn.

The domain of the function represented in the graph will be 20 ≤ x ≤ 60, or x is from 20 to 60. Then the correct option is D.

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Answer:

the correct option is D

Step-by-step explanation:

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

Answer:

4 times 1 over 10

Step-by-step explanation:

i think it is this hope it is right

Answer:

Step-by-step explanation:

it would be 4 times 1 over 10

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

To establish trust with Martina, the nurse should show respect, use non-verbal communication, incorporate play, involve the parent, and individualize the approach.

To establish a trusting relationship with Martina, the nurse can employ several approaches:

Respect and empathy: The nurse should approach Martina with genuine respect and empathy, recognizing her unique needs and individuality. This can be conveyed through a calm and patient demeanor.

Non-verbal communication: Since Martina may not be responsive to verbal cues, the nurse can utilize non-verbal communication to establish connection and trust. This can include maintaining eye contact, using gentle touch, and respecting Martina's personal space.

Play and familiar objects: Given Martina's engagement with the blue stuffed dog, the nurse can incorporate play into their interactions. Bringing familiar objects or toys that Martina finds comforting can help create a sense of familiarity and security.

Parental involvement: Involving Martina's mother in the care process can be beneficial. The nurse can communicate with the mother, seek her input, and involve her in the administration of medications. This helps build trust not only with Martina but also with her caregiver.

Individualized approach: Recognizing Martina's autistic disorder, the nurse should tailor their approach to her specific needs. Understanding her sensory sensitivities and preferences can help create a safe and comfortable environment.

By implementing these strategies, the nurse can foster trust and a positive therapeutic relationship with Martina, promoting her overall well-being and care.

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Complete Question:

What approach would help the nurse establish a trusting relationship with Martina, a 3-year-old with bronchitis and autistic disorder, who is intensely occupied with a blue stuffed dog and does not seem responsive to the nurse's presence in the room, while the mother is also present?

Answer:

mMN=190°

Step-by-step explanation:

Let the centre of the circle be C

An angle at the circumference of a circle is half the angle at the centre standing on the same arc.

Therefore:

2(<MLN)=<MCN

<MCN=2(95)=190°

mMN=<MCN=190°

Answer:

Sure, I'd be happy to help you with that!

To calculate Dan's earnings with simple interest, we can use the following formula:

I = P * r * t

where:

I = interest earned

P = principal amount (initial investment)

r = interest rate (as a decimal)

t = time period (in years)

We know that Dan invests £2500 and receives 5% simple interest per year, so:

P = £2500

r = 0.05

t = 2 years

Plugging these values into the formula, we get:

I = £2500 * 0.05 * 2

I = £250

This means that Dan will earn £250 in interest over the 2-year period.

To calculate Dan's total earnings, we simply add the interest earned to the initial investment:

Total earnings = £2500 + £250

Total earnings = £2750

Therefore, Dan will have £2750 in his bank account after 2 years.

Answer:

Step-by-step explanation:

this is hard maybe ask your mom