help please!! math …

The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.

The given problem is related to percentage discounts and sales tax and can be solved using the following steps:

Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25

Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75

Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79

Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.

Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54

Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!

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The covariance of Height and Weight, given the provided information, is 18.33.

In order to calculate the covariance, we need to use the formula:

covariance = correlation coefficient * \(\sqrt{variance of Height}\) * \(\sqrt{variance of Weight}\)

Plugging in the values, we have:

covariance = 0.55 * \(\sqrt{50}\) * \(\sqrt{66}\)

          = 0.55 * 7.07 * 8.12

          = 31.02

Rounding the result to two decimal places, the covariance of Height and Weight is 18.33.The covariance measures the relationship between two variables and indicates how they vary together.

A positive covariance suggests that as one variable increases, the other tends to increase as well, and vice versa. In this case, the positive covariance of 18.33 indicates a positive relationship between Height and Weight in the sample. However, it is important to note that covariance alone does not provide a standardized measure of association. By dividing the covariance by the product of the standard deviations of the two variables, we can obtain the correlation coefficient, which is a standardized measure that ranges between -1 and 1. The correlation coefficient of 0.55 indicates a moderately strong positive linear relationship between Height and Weight in the sample.

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(a) Null hypothesis (H₀): µ = $26,450

Alternate hypothesis (H1): µ ≠ $26,450

Reject H₀ if t is not between -2.807 and 2.807.

(c) Value of the test statistic 3.184.

(d) The information disagrees with the United Nations report at the 0.01 significance level since the calculated t-value falls outside the critical value range.

(a) State the null hypothesis and the alternate hypothesis:

The mean family income for Mexican migrants is $26,450 per year

H₀: µ = $26,450

The mean family income for Mexican migrants is not equal to $26,450 per year.

H₁: µ ≠ $26,450.

(b)

Reject H₀ if t is not between -2.807 and 2.807 (critical values for a two-tailed t-test with 22 degrees of freedom and a significance level of 0.01).

(c) Compute the value of the test statistic:

To compute the test statistic (t-value), we need the sample mean, the hypothesized population mean, the sample standard deviation, and the sample size.

Sample mean (X) = $37,190

Hypothesized population mean (µ) = $26,450

Sample standard deviation (s) = $10,700

Sample size (n) = 23

t-value = (X - µ) / (s / √n)

= ($37,190 - $26,450) / ($10,700 / √23)

= ($37,190 - $26,450) / ($10,700 / √23)

= $10,740 / ($10,700 / √23)

= 3.184

The calculated t-value is approximately 3.184.

d.  To determine if this information disagrees with the United Nations report, we compare the calculated t-value with the critical values for a two-tailed t-test with 22 degrees of freedom and a significance level of 0.01.

The critical values for a two-tailed t-test with a significance level of 0.01 and 22 degrees of freedom are approximately -2.807 and 2.807.

Since the calculated t-value of 3.184 falls outside the range -2.807 to 2.807, we reject the null hypothesis (H0) and conclude that there is evidence to suggest a disagreement with the United Nations report.

Therefore, based on the provided data and significance level, the information disagrees with the United Nations report.

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Answer:

it's answer is 3.75

Step-by-step explanation:

Hypotenuse (h) = 6.25

Perpendicular (p) = 5

base (b) = ?

By using Pythagoras theorem we get

b = √ ( h² - p²)

= √( 6.25)² - 5²

= √ 14.0625

= √(3.75)²

= 3.75

Hope it will help:)❤

By Pythagoras theorem, a^2+b^2=c^2

The answer is 3.75

The explicit formula that satisfy the given sequence is: aₙ = 0.75 (6)ⁿ⁻¹

Thus, option B is correct.

Here, we have,

To find:

The explicit formula for the nth term of the sequence.

we have,

The recursive formula of the sequence is given by:

aₙ = 6aₙ₋₁

Here, a₁ = 0.75.

Find first few terms of the sequence,

a₁ = 0.75

=> a₂ = 6(0.75) = 4.5

=> a₃ = 6(4.5) = 27

which can be written as,

a₃ = 6(4.5)

    = 6× 6(0.75)

   = 6² (0.75)

   = 27

so, we will have,

a₄ = 6³ (0.75) .......

...........................................

So, the explicit formula that satisfy the given sequence is:

aₙ =  (6)ⁿ⁻¹ × 0.75

or, aₙ = 0.75 (6)ⁿ⁻¹

Thus, option B is correct.

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complete question:

attached :

Answer: Its is 1

Step-by-step explanation:

Answer:

1 !

Step-by-step explanation:

it is 1 1/4 units to the left and 3/4 of a unit up

9514 1404 393

Answer:

  1)  (-1 1/4, 3/4)

Step-by-step explanation:

Coordinates in two dimensions are given as an ordered pair, (x, y). That is, the x-coordinate is always listed first, followed by the y-coordinate.

The x-coordinate is the distance to the right of the x=0 point, or y-axis. Distances to the left have a negative sign. Here, the given point is 5 grid squares to the left of the y-axis, so has an x-coordinate of -5/4 = -1 1/4. (Each grid square on this graph is 1/4 unit.)

The y-coordinate is the distance above the y=0 point, or x-axis. Distances below have a negative sign. Here, the given point is 3 grid squares above the x-axis, so has a y-coordinate of 3/4.

The coordinates of the given point are (x, y) = (-1 1/4, 3/4).

_____

Additional comment

The above discussion refers to coordinates on the "Cartesian plane." There are other ways of determining location. Some are based on the distance from an origin and an angle from a reference direction. Then, the ordered pair is not (distance right, distance up), but may be (distance from origin, CCW angle from 'right'). In navigation, it may be (latitude angle, longitude angle), or (bearing distance, bearing angle CW from North).

Answer:

The value of x is 3 or 2.

Step-by-step explanation:

Given equation is 2^(x-2) + 2^(3-x) = 3

On applying exponents rule a^(x-y) = a^x÷a^y

Where, a = 2, x = x and y = -2

So, using this, we get

⇛{(2^x/2²) + (2³/2^x)} = 3

⇛{(2^x/2*2) + {(2*2*2)/2^x}] = 3

⇛[(2^x)/4} + {(4*2)/2^x}] = 3

⇛[(2^x)/4} + {8/(2^x)}] = 3

Let assume that 2^x = y

So, above equation can be rewritten as

⇛{(y/4) + (8/y)} = 3

⇛{(y²+32)/4y} = 3

⇛{(y²+32)/4y} = (3/1)

On applying cross multiplication then

⇛1(y²+32) = 3(4y)

Multipy the number outside of the brackets with numbers and variables on the brackets on both LHS and RHS.

⇛y²+32 = 12y

⇛y²-12y + 32 = 0

By splitting the middle term, we get

⇛y² - 8y - 4y + 32 = 0

⇛y(y-8) - 4(y-8) = 0

⇛(y-8)(y-4) = 0

➝ y = 8 or y = 4

➝ 2^x = 8 or 2^x = 4

➝ 2^x = 2³ or 2^x = 2²

Therefore, x = 3 or x = 2

Answer: The value of x is 3 or 2.

VERIFICATION:

•If x = 3 the equation is

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

Substitute the value of x = 3 in equation

⇛2^(3-2) + 2^(3-3) = 3

⇛2¹ + 2⁰ = 3

⇛2 + 1 = 3

⇛3 = 3

LHS = RHS

•If x = 2 then the equation is

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

Substitute the value of x = 2 in equation

⇛2^(2-2) + 2^(3-2) = 3

⇛2^0 + 2^1 = 3

⇛1 + 2 = 3

⇛3 = 3

LHS = RHS

Hence, verified.

Please let me know if you have any other questions.

3/4 and 5 18 is fraction have a leat common denominator of 36.

3/4 and 5 18 is fraction have a leat common denominator of 36.

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The money left is $296.54

The total number of people in the track team is 25

The total amount that all members will pay for the shirt is $463.50

Only 9 members have purchased the shirt

The change left can be calculated as follows

25= 463.50

1= x

cross multiply

25x= 463.50

x= 463.50/25

x= 18.54

18.54 × 9

= 166.86

463.50-166.86

= 296.54

Hence the change left is $296.54

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Answer: 0.45 :)

Step-by-step explanation:

divide y by x

The density of horses in royale stables would be 5.78 horses/sq.km  

How to find the population density?

To calculate the population density, you will divide the population by the size of the area. Thus, Population Density = Number of People/Land Area. The unit of land area should be square miles or square kilometers.

Given that there are 4564 horses in royale stables. and the stables have an area of 789 sq.km

So by using the formula for population density, we can find the population density of horses in royale stables as

Population density of horses in royale stables = number of horses in royale stables/ Area of Royale stables

                                                             = 4564 / 789

                                                             = 5.78 horses/sq.km        

Hence, the density of horses in royale stables would be 5.78 horses/sq.km  

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Solution:

Note that:

Simplify the equation to find x.

Sum of interiors=exterior

\(\\ \rm\bull\rightarrowtail x+46=62\)

\(\\ \rm\bull\rightarrowtail x=62-46\)

\(\\ \rm\bull\rightarrowtail x=16\)

There are four levels of measurement: nominal, ordinal, interval, and ratio.

The level of measurement of a variable refers to the type or scale of measurement used to quantify or categorize the data. There are four levels of measurement: nominal, ordinal, interval, and ratio.

1. Nominal level: This level of measurement involves categorical data that cannot be ranked or ordered. Examples include gender, eye color, or types of cars. The data can only be classified into different categories or groups.

2. Ordinal level: This level of measurement involves data that can be ranked or ordered, but the differences between the categories are not equal or measurable. Examples include rankings in a race (1st, 2nd, 3rd) or satisfaction levels (very satisfied, satisfied, dissatisfied).

3. Interval level: This level of measurement involves data that can be ranked and the differences between the categories are equal or measurable. However, there is no meaningful zero point. Examples include temperature measured in degrees Celsius or Fahrenheit.

4. Ratio level: This level of measurement involves data that can be ranked, the differences between the categories are equal, and there is a meaningful zero point. Examples include height, weight, or age.

It's important to note that the level of measurement affects the type of statistical analysis that can be performed on the data.

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Answer:

112

Step-by-step explanation:

correct me if im wrong.

I got this from doing 30 percent out of 160

160×0.30

160-48=112

Answer:

112

Step-by-step explanation:

30%*160=48

160-48=112

The proportion of infants with birth weights under 95 ounces is approximately 0.1587 or 15.87%.

We are given a normal distribution with mean µ = 110 and standard deviation σ = 15. We want to find the proportion of infants with birth weights under 95 ounces, i.e., P(X < 95).

To solve this, we need to find the z-score for 95 ounces, which is given by:

z = (X - µ) / σ = (95 - 110) / 15 = -1

Using a standard normal distribution table, we can find the probability of a z-score being less than -1. This is the same as the probability of an infant having a birth weight less than 95 ounces.

From the standard normal distribution table, the probability of a z-score being less than -1 is 0.1587.

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Answer: Diana donates $125 each month.

Step-by-step explanation:

Let x = Amount of money Diana donates each month.

Money she donates in a year = 12x  [ 1 year = 12 months]

Given: Money she donates in a year = $1500

So, \(12x=1500\Rightarrow\ x=\dfrac{1500}{12}=\$125\)

i.e. Amount of money Diana donates each month = $125

Hence, Diana donates $125 each month.

Answer:

88

Step-by-step explanation:

To calculate the mean of data, we have to add up all of the data and divide by the number of data available.

Let's see how much data is available:

We have: 9 engineering majors, 5 math majors, and 13 business majors

9 + 5 + 13 = 27

The engineering majors have a mean of: 91

math majors: 93

business majors: 84

To solve multiply the number of each major with their designated mean score, add each product, and divide by the total number of students

(9*91) + (5*93) + (13*84) = 2376

2376/27 = 88

Answer:

The answer is \(x^9^0\).

Hope this Helped! Have a GREAT DAY!!!!!!!!!!

Answer:

x=10

Step-by-step explanation:

Given x-15=-5

add both sides by 15

x-15+15=-5+15

x=10

The expression that can be used to determine the total cost of the grapes is 3.9 x 1.80.

Total cost is the unit cost multiplied by the total quantity of grapes bought. Multiplication is the process of determining the product of a number using a mathematical operation.

Total cost = unit cost x total pounds

3.9 x 1.80.

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Answer:

the midline is at f(x)=0

it takes the ball 2 s to complete a cycle

The number of integer solutions for x1 + x2 + x3 = 15, subject to the conditions x1 ≥ 0, x2 ≥ 0, and x3 ≥ 0, is 15.

To find the number of integer solutions of x1 + x2 + x3 = 15 subject to the conditions x1 ≥ 0, x2 ≥ 0, and x3 ≥ 0, we can use the concept of generating functions.

We will represent the problem using generating functions, where each variable is represented by a term in the generating function. The generating function for each variable will be (1 + x + x^2 + ...), which represents the possible values of that variable (starting from 0 and going up to infinity).

Let's start by finding the generating function for x1:

g1(x) = 1 + x + x^2 + ...

Since x1 can take any non-negative integer value, the generating function for x1 is an infinite geometric series with a common ratio of x.

Similarly, the generating function for x2 and x3 would also be:

g2(x) = 1 + x + x^2 + ...

g3(x) = 1 + x + x^2 + ...

Now, to find the generating function for the sum x1 + x2 + x3, we multiply the generating functions together:

G(x) = g1(x) * g2(x) * g3(x)

= (1 + x + x^2 + ...) * (1 + x + x^2 + ...) * (1 + x + x^2 + ...)

Expanding the product, we get:

G(x) = (1 + 3x + 6x^2 + 10x^3 + 15x^4 + ...)

The coefficient of x^k in the expansion of G(x) represents the number of solutions of x1 + x2 + x3 = k, where x1, x2, and x3 are non-negative integers.

In this case, we are interested in the number of solutions for x1 + x2 + x3 = 15. Therefore, we need to find the coefficient of x^15 in the expansion of G(x).

Looking at the expansion of G(x), we can see that the coefficient of x^15 is 15. Hence, there are 15 integer solutions for x1 + x2 + x3 = 15 subject to the conditions x1 ≥ 0, x2 ≥ 0, and x3 ≥ 0.

Therefore, the number of integer solutions for x1 + x2 + x3 = 15, subject to the conditions x1 ≥ 0, x2 ≥ 0, and x3 ≥ 0, is 15.

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Answer:

(1, 36)

Step-by-step explanation:

Degrees of freedom for the F-test of the two way ANOVA

Here, we use a two factors, independent measures ANOVA, where, factor \(A\) has 2 level and a factor \(B\) also has 2 levels.

So, here,

\($k_1$\) = number of levels of A = 2

\(k_2\) = number of levels of B = 2

And n = sample size in each treatment condition = 10

So we have,

\(d_1\) = df of the main effect A = (\($k_1$\) - 1) = 2 - 1 = 1

\(d_2\) = df of the main effect A = (\($k_2$\) - 1) = 2 - 1 = 1

\(d_3\) = df of interaction effect (A x B) = (\($k_1$\) - 1)(\($k_2$\) - 1)

                                                        = (2-1)(2-1)

                                                         = 1

And \(d_4\) = df of within variation (i.e. error variation) = \($k_1k_2(n-1)$\)

                                                                                 = 2 x 2 x (10 - 1)

                                                                                  = 36

So, the df value for the F-ratio evaluating the main effect of factors-A is

=  (\(d_1, d_4\))

= (1, 36)

The definite integral that is equal to limn→[infinity]∑k=1n(−2+8kn)38n is ∫6−2x3ⅆx.

To understand why this is the case, let's examine the given expression limn→[infinity]∑k=1n(−2+8kn)38n. This expression represents the limit of a sum as n approaches infinity,

where each term in the sum is (−2+8kn)38n. The expression inside the sum can be simplified as (-2/n + (8k/n^2)) * (1/8n), which becomes (-2 + 8k/n) * (1/8n).

The sum is essentially adding up these terms for k = 1 to n. As n approaches infinity, the terms inside the sum approach zero, except for the constant term -2. Therefore, the sum becomes an infinite sum of -2, which is -∞.

Now, let's consider the definite integral ∫6−2x3ⅆx. This integral represents the area under the curve of the function f(x) = -2x^3 from x = -2 to x = 6. Evaluating this integral gives the result of -736, which is a finite value.

Since the sum in the given expression approaches -∞ and the value of the definite integral is finite, it can be concluded that the definite integral ∫6−2x3ⅆx is equal to limn→[infinity]∑k=1n(−2+8kn)38n. The other option, ∫80(−2+x)3ⅆx, is not equivalent to the given expression.

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Answer:

O q= 52

Step-by-step explanation:

Step-by-step explanation:

\(by \: pythogorus \: law \\ {x}^{2} = ( { {29}^{2} - {21}^{2} })^{ \frac{1}{2} } \\ = \sqrt{20} \\ = \sqrt{4 \times 5 } \\ = 2 \sqrt{5} \)

The total words Cecilia types over a 4 minute period is 152 words

An equation is a mathematical expression that contains two or more numbers and variables linked together by mathematical operations such as exponents, multiplication, division, addition, subtraction and so on.

The slope intercept form of a linear equation is:

y = mx + b

where m is the slope and b is the y intercept.

Let y represent the total words that Cecilia types after x minutes.

Cecilia types at a speed of 38 words per minute. Hence:

y = 38x

After 4 minutes:

y = 38(4) = 152 word

The total words Cecilia types over a 4 minute period is 152 words

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