A boy walks 58 feet up a ramp having a 22. 5° inclination. How high is he standing from the ground?​

The fraction that represents the part of the whole cake each child receives is 4/25

from the question, we have the following parameters that can be used in our computation:

Five children divide 4/5 of a cake equally

The fraction that represents the part of the whole cake each child receives is calculated as

Fraction = 4/5 divided by 5

Mathematically, this can be represented as

Fraction = (4/5)/5

When the fraction is then evaluated, we have the solution to be

Fraction = 4/25

Hence, the solution is 4/25

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The researchers conducted tests to measure the reading levels of 63 cancer patients and the readability levels of 30 cancer pamphlets.

To analyze this data, the researchers would follow these steps:

1. Measure the reading levels of 63 cancer patients using appropriate tests.
2. Evaluate the readability levels of 30 cancer pamphlets by considering factors like sentence length and the number of polysyllabic words.
3. Compare the reading levels of the cancer patients with the readability levels of the pamphlets.
4. Determine if there is a significant difference between the patients' reading levels and the pamphlets' readability levels.
5. Note that patient reading levels under grade 3 and above grade 12 are not determined exactly, which might impact the results.

By following these steps, researchers can determine whether the cancer pamphlets are written at a level that cancer patients can comprehend.

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Answer:

Step-by-step explanation:

In this problem we are required to find the cost of the laptop when 9.25% of the cost is added as tax

we are given that the tax rate is 9.25% of the initial cost

and the initial cost is $703.98

 let us calculate 9.25% of  $703.98

(9.25/100)* 703.98= 0.0925*703.98= $65.12

Hence the charges for tax is $65.12

The total cost of the laptop when tax is included is

the initial cost Plus the tax charges= $703.98+$65.12= $769.098

$769.10

Answer:

x=22

Step-by-step explanation:

Rule states diagonals = same so 6x-36 = 96 in which x=22 cause 6(22)=132

132-36 = 96

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Answer:

Hello!! answer: a = 45

Step-by-step explanation:

This is a complimentary angle so we will just do 90 - 45 and get 45 because 45 + 45 = 90 Hope that helps!

Answer:

a = 45

Step-by-step explanation:

The total angle of the shape is 90°

That means you should subtract 90° from 45°

90 - 45 = 45

That's your answer!

Hope this helped :)

Check the picture below.

\(x\sqrt{3}=7\implies x=\cfrac{7}{\sqrt{3}}\implies x=\cfrac{7}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies x=\cfrac{7\sqrt{3}}{3}\)

Answer:

x = 4.04

Step-by-step explanation:

\(tan30^{0}=\frac{x}{7}\)

\(x=7tan30^{0}\)

\(x=4.04\)

Hope this helps.

Answer:

Given:

Line 1 to line 2 ⇒

Line 2 to line 3 ⇒

Line 1:- n(mo)

Line 2:- (nm)o

Line 3:-(mn)o

Now

line 1 to Line 2:- associative property of multiplication.

Line 2 to Line 3:- Commutative property of multiplication .

Answer:

your dad is never coming back

Step-by-step explanation:                                                
$3 milk                                                      |
x= distance                                               |
                                                                  |
                                                   _______|________________
y= time                                                     o                                   |
                                                             home                    grocery store
f(x)= | 3/x |        
lim
x ➔ o
 f (x)               now thats your answer bye give credits >:)                                                

Answer: 11,500 grams

Step-by-step explanation: 920/8=115 115*100= 11,500

Answer:

11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

1 plus 1 is 2

2 plus 5 is 7

7 plus 7 is 14

14 minus 3 is 11

72 kilograms (kg) is equivalent to approximately 158.73 pounds (lbs).

Kilograms and pounds are both units of measurement used to express weight or mass. Kilogram is the standard unit of mass in the International System of Units (SI), while pound is the imperial unit of mass commonly used in the United States and other countries.

One kilogram is equal to 2.20462 pounds, and one pound is equal to 0.453592 kilograms. Therefore, to convert kilograms to pounds, you can multiply the weight in kilograms by 2.20462. In this case, 72 kg multiplied by 2.20462 equals approximately 158.73 lbs.

It is important to note that while the conversion factor between kilograms and pounds is constant, the actual weight of an object may vary depending on its location and the gravitational force acting upon it.

72 kilograms (kg) is equivalent to approximately 158.73 pounds (lbs).

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A null hypothesis refers to a statistical hypothesis that assumes that there is no difference between two groups or variables. The null hypothesis may either be rejected or not rejected based on the statistical results obtained from a hypothesis test. A hypothesis test is a statistical test that is conducted to either accept or reject the null hypothesis based on the statistical results obtained.

When is the null hypothesis rejected?The null hypothesis is rejected when the p-value is less than or equal to a preconceived level of significance, α (usually set at 0.05 or 0.01).The null hypothesis is rejected when the calculated test statistic (such as t-test, z-test, or F-test) is greater than or equal to the critical value corresponding to the level of significance α.

When is the null hypothesis not rejected?The null hypothesis is not rejected when the p-value is greater than the preconceived level of significance, α. This means that there is not enough evidence to reject the null hypothesis.The null hypothesis is not rejected when the calculated test statistic is less than the critical value corresponding to the level of significance α. This means that there is not enough evidence to reject the null hypothesis.

In conclusion, the null hypothesis is rejected when the p-value is less than the preconceived level of significance α or when the calculated test statistic is greater than or equal to the critical value corresponding to the level of significance α. On the other hand, the null hypothesis is not rejected when the p-value is greater than the preconceived level of significance α or when the calculated test statistic is less than the critical value corresponding to the level of significance α.

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In a perfectly symmetrical distribution with a mean (µ) of 30, there is no specific mode because all values occur with equal frequency.

In a perfectly symmetrical distribution, such as a symmetric bell-shaped curve or a uniform distribution, each value occurs with the same frequency. This means that there is no value that occurs more frequently than others, resulting in multiple modes or no mode at all.

The mode is typically used to identify the most common value in a dataset, but in a perfectly symmetrical distribution, all values have equal frequency, and there is no single mode. Instead, the distribution is characterized by its symmetry around the mean (µ). The mean represents the central tendency of the distribution, indicating the balance point of the data. In this case, with a mean of 30, the distribution is centered around this value, with equal numbers of observations on either side.

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Answer:

13.5

Step-by-step explanation:

6.1). the rate of depreciation, r, is approximately 10.77%.

6.2.1). Ncominkosi's monthly installment amount was approximately R 10,505.29.

6.2.2).  Ncominkosi borrowed approximately R 377,510.83 from the bank.

6.1) Let's assume the original price of the laptop is P. According to the reducing balance method, the value of the laptop after 4 years can be calculated as P * (1 - r/100)^4. We are given that this value is 31% of the original price, so we can write the equation as P * (1 - r/100)^4 = 0.31P.

Simplifying the equation, we get (1 - r/100)^4 = 0.31. Taking the fourth root on both sides, we have 1 - r/100 = ∛0.31.

Solving for r, we find r/100 = 1 - ∛0.31. Multiplying both sides by 100, we get r = 100 - 100∛0.31.

Therefore, the rate of depreciation, r, is approximately 10.77%.

6.2.1) To determine the monthly installment amount, we can use the formula for calculating the monthly payment on a loan with compound interest. The formula is as follows:

\(P = \frac{r(PV)}{1-(1+r)^{-n}}\)

Where:

P = Monthly payment

PV = Loan principal amount

r = Monthly interest rate

n = Total number of monthly payments

Let's calculate the monthly installment amount for Ncominkosi's loan:

Loan amount = Total amount paid to the bank - Interest

Loan amount = R 596,458.10 - R 0 (No interest is deducted from the total paid amount since it is the total amount paid)

Monthly interest rate = Annual interest rate / 12

Monthly interest rate = 9.5% / 12 = 0.0079167 (rounded to 7 decimal places)

Number of monthly payments = 6 years * 12 months/year = 72 months

Using the formula mentioned above:

\(P = \frac{0.0079167(Loan Amount}{1-(1+0.0079167)^{-72}}\)

Substituting the values:

\(P = \frac{0.0079167(596458.10}{1-(1+0.0079167)^{-72}}\)

Calculating the value:

P≈R10,505.29

Therefore, Ncominkosi's monthly installment amount was approximately R 10,505.29.

6.2.2) To determine the amount of money Ncominkosi borrowed from the bank, we can subtract the interest from the total amount he paid to the bank.

Total amount paid to the bank: R 596,458.10

Since the total amount paid includes both the loan principal and the interest, and we need to find the loan principal amount, we can subtract the interest from the total amount.

Since the interest rate is compounded monthly, we can use the compound interest formula to calculate the interest:

\(A=P(1+r/n)(n*t)\)

Where:

A = Total amount paid

P = Loan principal amount

r = Annual interest rate

n = Number of compounding periods per year

t = Number of years

We can rearrange the formula to solve for the loan principal:

\(P=\frac{A}{(1+r/n)(n*t)}\)

Substituting the values:

Loan principal (P) = \(\frac{596458.10}{(1+0.095/12)(12*6)}\)

Calculating the value:

Loan principal (P) ≈ R 377,510.83

Therefore, Ncominkosi borrowed approximately R 377,510.83 from the bank.

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The expressions which produce a quadratic function is the product of the provided binary functions (ab)(x).

A quadratic function is the function in which the unknown variable is one and the highest power of the unknown variable is two. The standard form of the quadratic function is,

\(f(x)=ax^2+bx+c\)

Here,(a,b, c) is the real numbers and (x) is the variable.

The two function for the variable x is given as,

\(a(x) = 2x - 4\)

\(b(x) = x +2\)

These are the binary function, and the product of two binary function provide a quadratic function. The product or the multiplication of these two function will provide a quadratic function. Thus,

\(a(x) b(x)= (2x - 4)(x+2)\\(ab)(x)=2x^2+4x-4x-8\\(ab)(x)=2x^2-8\)

Thus, the expressions which produce a quadratic function is the product of the provided binary functions (ab)(x).

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Answer:No

Step-by-step explanation:

It is not a polynomial because the definition of a polynomial states is an equation or statement that consists of many terms this expression clearly only has one term.

Answer: 126

Step-by-step explanation:

11+5=16

Step-by-step explanation:

square root of 121 is 11 and cube root of 125 is 5 i.e

11^2=121 and 5^3=125

Answer:

Top right.

Step-by-step explanation:

So we want a line with a slope of 3 and passes through (2,5).

To do so, we can use the point-slope form.

The point-slope form is:

\(y-y_1=m(x-x_1)\)

m is the slope and x₁ and y₁ is an ordered pair.

Thus, let m be 3, y₁ be 5, and x₁ be 2. Thus:

\(y-5=3(x-2)\)

Our answer is the top right :)

Answer:

Answer:

Top right.

Step-by-step explanation:

So we want a line with a slope of 3 and passes through (2,5).

To do so, we can use the point-slope form.

The point-slope form is:

m is the slope and x₁ and y₁ is an ordered pair.

Thus, let m be 3, y₁ be 5, and x₁ be 2. Thus:

Our answer is the top right :)

Step-by-step explanation:

Answer:

27 melons

Step-by-step explanation:

Number of melons sliced = Number of melons sliced by each camper * number of campers

 = 4 1/2 * 6

\(= \frac{9}{2}*6\\\\=9*3\\\\= 27\)

Answer:

No. of campers = 6

Melon slice by 1 camper = 4½

Total melons sliced = 4 ½ × 6

Total melons sliced = 9/2 × 6

Total melons sliced = 9 × 3

Melons sliced = 27★

\( \\ \)

Answer:

v^2 - 6v + 9

Step-by-step explanation:

(v-3)^2 can be written as

(v - 3) (v - 3)

v^2 -3v -3v + 9

v^2 -6v + 9

So, our answer is v^2 -6v + 9

Answer:

a) R(randy)

expression: Randy's brother= 2R

b) 16 years old

c) Randy's sister=R+3

Step-by-step explanation:

because maths

A) R2 = 16

B) Randy's brother is 16 years old.

C) R - 3 = 5

Randy is 8 years old, his brother is 16 years old, and his little sister is 5 years old.

Answer:

Use SOHCAHTOA

Step-by-step explanation:

If you don't know what this is, it means Sin=opposite/hypotenuse, cos=adjacent/hypotenuse, tan=opposite/adjacent. There is more than 1 way to solve this, but here's how I did it.

Starting with part A, we are trying to find the hypotenuse of the triangle. We have an angle and the side opposite of that angle, so we can use the sin function.

Sin(54) = 12.2 / hypotenuse

Sin(54) * hypotenuse = 12.2

Hypotenuse = 12.2 / sin(54) = 15.1

Now for Part B

Finding the last angle

180-90-54=36

So now, we have this angle and the side adjacent to it. We are trying to find the opposite side, so let's use the tan function

Tan(36) = opp / 12.2

opp = tan(36) * 12.2 = 8.9

You can double check these answers using pythagorean theorem. Hope this helps

Answer:

Yuh

Step-by-step explanation:

Answer:

yes true

Step-by-step explanation:

Answer:

tor ba kita oisa kobic and yyio

Answer:

x =5.5

Step-by-step explanation:

The directions say to use x for the number.

"take 10 away from"

x - 10

"then square the result"

(x - 10)^2

"I get the same answer" means the two expressions will be equal to each other.

"if I square my number"

x^2

"then subtract 10 from the result"

x^2 - 10

SET EQUAL TO EACH OTHER.

(x - 10)^2 = x^2 -10

Multiply on the left side.

x^2-20x+100 =x^2-10

subtract x^2 from both sides.

-20x + 100 = -10

subtract 100.

-20x = -110

divide by -20

x = 11/2 or 5.5

CHECK:

(5.5-10)^2=20.25

5.5^2 - 10=20.25

The number would be equal to x =5.5

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The directions say to use x for the number means x - 10

"then square the result" means (x - 10)^2

"I get the same answer" means the two expressions will be equal to each other.

"if I square my number" means x^2

"then subtract 10 from the result" means x^2 - 10

therefore,

(x - 10)^2 = x^2 -10

Now Multiply on the left side.

x^2-20x+100 =x^2-10

Then subtract x^2 from both sides.

-20x + 100 = -10

-20x = -110

x = 11/2 or 5.5

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There are 28 ways to choose 6 teams for the playoffs if there are 8 college basketball teams in a certain sub-division.

To determine the number of ways to choose 6 teams for the playoffs out of the 8 college basketball teams in a certain Sub-Division, we can use the combination formula. The formula for combinations is given by

nCr = n! / (r! * (n-r)!),

where n represents the total number of teams and r represents the number of teams to be chosen.

In this case, n = 8 and r = 6.

Plugging in these values, we have

8C6 = 8! / (6! * (8-6)!) = 8! / (6! * 2!) = (8 * 7) / (2 * 1) = 28.

Therefore, there are total 28 ways to choose 6 teams.

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Answer:

Step-by-step explanation:

This expression is similar the same as the equation of a straight line, so we could actually compare the expression and come up with an answer.

the equation of a straight line is

y=mx+c

y=45x+75

What does "x" represent?

x represents the number of hours worked by the electrician.

y represents the total cost of his visits

X has a Poisson distribution with μ= 4. The probability that x = 6 is 0.1042.

The probability mass function (PMF) of a Poisson distribution with mean μ is given by:

P(x) = e^(-ᵃ) * (aˣ) / x!

where e is the mathematical constant approximately equal to 2.71828, and x! denotes the factorial of x.

In this problem, we are given that a = 4 and we want to find P(x = 6), which is the probability of getting 6 successes in a Poisson process with mean 4.

Plugging in these values into the PMF formula, we get:

P(6) = e⁻⁴ * (4⁶) / 6!

P(6) ≈ 0.1042

Therefore, the probability of getting 6 successes in a Poisson process with mean 4 is approximately 0.1042.

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