4. Aziz grows vegetables in his garden. of the vegetables grow underground. Of these underground vegetables, are potatoes. What fraction of all the vegetables are potatoes? 5 If there are 70 vegetables altogether, how many potatoes are there?​

Using the Confidence-interval formula, we get that the confidence interval for p1-p2 = 1.962.

The term "confidence interval" is used to define the degree of uncertainty surrounding a sampling technique. The probability that the parameter's true value will fall inside a given range is provided by a confidence interval.

A confidence interval estimate of a population mean is often presented as follows: = Sample mean × Standard error of Mean

Given, n1 = 210 and n2 = 141

Sample proportions that have been given are p1 = 70 and p2 = 20

difference of the estimate, p1 - p2 = 50

Confidence interval for p1-p2:

(p1 - p2)-E ≤ (p1-p2) ≤ (p1-p2) + E

Where E = z × √ (p1q1/n1 + p2q2/n2)

Z is the critical value for confidence level.

Putting the values of n1, n2, p1 and p2 we get:

Critical z value, z = 1.962

Standard Error, [tex]SE_{p1 - p2}[/tex] = NaN

Therefore, ≈95% Confidence Interval:(NaN, NaN).

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Answer:

Which of the following numbers is NOT divisible by 3?

Step-by-step explanation:

You're welcome.

Answer:

241

Step-by-step explanation:

300÷3=100

321÷3=107

241÷3=80.33

8,910÷3=2,970

Answer:

Ricky has 1204 hits and Pedro has 1481 hits.

Step-by-step explanation:

Answer: pedro had 1,200 and ricky had 1,485

Step-by-step explanation: all i did was 2685 - 285 which equals 2,400. then i did 2,400 divided by 2 which was 1,200, pedro had 1.200 hits.

1,200 add 285 equals 1,485. ricky has 1,485. to double check add 1,200 and 1,485 and you should get 2,685

Answer:

The rule for reflection along the x axis (x;y) to (x; -y)

A' (x ; -(y) )

A' (4 ; -(5) )

A' (4 ; -5 )

The interval in set builder notation is {x : x ≥ -2 and x < 3, where x ∈ R} and the graph of the interval is given below.

Set builder form is used to represent the numbers in a set especially infinite numbers in a set using a statement which describes all the elements in the set.

Given interval is [-2, 3).

This is a closed interval from -2 and open interval at 3.

So, this interval contains all the elements from -2 to 3 where 3 is not included.

So, the set builder form can be written as,

{x : x ≥ -2 and x < 3, where x ∈ R}

The graph of the interval on the number line will be a straight line with closed circle at -2 and open circle at 3.

Hence the set builder form is {x : x ≥ -2 and x < 3, where x ∈ R}.

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Answer:
The perimeter of the picture frame is 44 inches.

Step-by-step explanation:
The formula for the perimeter of a rectangle is:

Perimeter = 2 x (length + width)

In this case, the length of the picture frame is 14 inches and the width is 8 inches. Substituting these values into the formula, we get:

Perimeter = 2 x (14 + 8) = 2 x 22 = 44 inches

Therefore, the perimeter of the picture frame is 44 inches.


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The Fibonacci numbers are defined by the following recursive formula: f0 = 1, f1 = 1, fn = fn−1 + fn−2 for n ≥ 2. Thus, each number in the sequence (after the first two) is the sum of the previous two numbers.

Answer:

24 days.

Step-by-step explanation:

Since the clock loses 15 minutes per day, it will show the correct time after gaining back 24 hours, equivalent to 1 day.

Therefore, the clock will show the correct time for the first time after 24 days, which is calculated as follows:

One day to gain back the first 15 minutes

One day to gain back the second 15 minutes

...

One day to gain back the 24th 15 minutes

So the answer is 24 days.

Answer:

Step-by-step explanation:

10.468 rounded to the nearest hundredth would be 10.47

4 = tenths place

6 = hundredths place

8 = thousandths place

8 >= 0.5 so 10.468 --> 10.47

Answer: 10.47

Step-by-step explanation: After the decimal, it goes tenths, hundredths, thousandths. So we're looking at the second place after the decimal, which is a 6, and the next number is 8. Think of it like 68, rounding up to the next ten, or 70. So that turns it into 10.470, and you get to drop the zero to make it 10.47.

The domain and range of the function  f(x) = 3/x + 2 are  (-∞, 0) ∪ (0, ∞) and  (-∞, 2) ∪ (2, ∞). The vertical and horizontal asymptotes are x = 0 and y = 2 respectively

In mathematics, the domain of a function is the set of all possible input values (also known as the independent variable) for which the function is defined. The range of a function is the set of all possible output values (also known as the dependent variable) that the function can produce.

To determine the domain and range of a function, it's important to consider the nature of the function, its graph or formula, and any restrictions that may apply.

The function f(x) = 3/x + 2

The domain of the function is (-∞, 0) ∪ (0, ∞)

The range of the function is (-∞, 2) ∪ (2, ∞)

The x - intercept is (-3/2, 0)

The y - intercept does not exist

The vertical asymptotes is x = 0

The horizontal asymptotes is y = 2

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Answer:

No

Step-by-step explanation:

Btw, you know this using Pythagorean therom

10^2 equals 100 and you have two 10's so now you have 200

18^2 equals 324

And because even in a straight line 200 is not long enough for the 324 so it would not fit.

Hope this helps, Brainliest would also help me btw

Answer:

Step-by-step explanation:

Because the interior angle, which cannot be greater than 180, is apparently 184 degrees.

The equation Z-7x = 0 defines a plane in three-dimensional space, where Z is the vertical axis and x is one of the horizontal axes.

A coordinate is a set of values that specifies the position of a point or an object in a given space or system. In mathematics, the most common coordinate systems are the Cartesian coordinate system and the polar coordinate system. In the Cartesian coordinate system, a point in two-dimensional space is represented by an ordered pair (x,y), where x is the horizontal coordinate (also known as the abscissa) and y is the vertical coordinate (also known as the ordinate).

Here,

Specifically, this plane is parallel to the y-axis and intersects the Z-axis at (0,0,0) with a slope of 7.

None of the answer choices provided correctly describe this surface. The surface is a plane, not a cylinder or cone, and its trace in any plane parallel to the xy-plane is a line (not a square root or parabolic function). Therefore, the correct answer is not given among the choices provided.

Note that if we solve the equation Z-7x = 0 for Z, we get Z = 7x, which is a linear function with slope 7 that passes through the origin. This means that the surface defined by Z-7x = 0 is a plane that is parallel to the y-axis and intersects the three coordinate axes at (0,0,0), (1,7,0), and (0,0,7).

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Answer:

Estimate of 938,617 - 254 is  938, 300

Step-by-step explanation:

To round to the nearest hundred we look at the digit in the hundreds place and examine the digit to the right of it. If the digit to the right of the 100's place is 5 or greater round the hundreds digit up, else leave it as is. Make all the digits to the right of the 100's digit zeros

938,617 rounded to the nearest 100 is 938,600
The 6 in the hundreds place stays the same, because the digit to the right in the tens place is 1 which is less than 5

254 rounded to 100's place = 300
The digit in the 100's place is 2; the digit to the right of it is 5 so round 2 to 3 and make all digits to its right as 0

Estimate of 938,617 - 254 = 938,600 - 300 = 938, 300

Actual value of 938,617 - 254 = 938,363 so we are off by only a small margin

Answer:

Range in data interpretation is described as the distance between the minimum value and the maximum value.

Step-by-step explanation:

Examples: 15 to 97.

So the linear model that describes the growth of the organism over the 5 hour period is: y = 6x + 16, where x is the number of hours and y is the weight of the organism in mg.

A linear model is a mathematical equation that describes a linear relationship between two or more variables. In other words, it is a model that assumes that the relationship between the variables can be represented by a straight line. Linear models are commonly used in various fields, including economics, finance, engineering, and science, to analyze and predict the relationship between variables. They are particularly useful when analyzing data that shows a linear trend, or when making predictions based on historical data. Linear models can be simple or multiple, depending on the number of independent variables involved. They can also be adjusted to fit nonlinear data by transforming the variables or using a different model altogether.

Here,

To find a linear model that describes the growth of the organism over time, we need to determine the rate of growth (change in weight per unit time) and the initial weight.

The rate of growth can be found by taking the difference between the final weight and the initial weight and dividing by the time period:

Rate of growth = (final weight - initial weight) / time period

= (46 mg - 16 mg) / 5 hours

= 6 mg/hour

So the organism is growing at a rate of 6 mg per hour.

The initial weight of the organism is given as 16 mg.

Now we can write the equation of the line as:

y = mx + b

where y is the weight of the organism in mg, x is the time in hours, m is the rate of growth in mg/hour, and b is the initial weight in mg.

Substituting the values we found, we get:

y = 6x + 16

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Answer:

Step-by-step explanation:

9w=93w=10

We move all terms to the left:

9w-(93w)=0

We add all the numbers together, and all the variables

-84w=0

w=0/-84

w=0

Answer:

f(x)-g(x)

= [tex](x^{2} - 13x + 36) - ( x -4)[/tex]

= [tex]x^{2} -13x+36-x+4[/tex]

= [tex]x^{2} -14x-40[/tex]

Procedures that help organize or describe data collected from a sample or a population are called Descriptive statistics.

Hence, option D is correct answer.

Data can be meaningfully and effectively described or summarised using descriptive statistics. For instance, knowing that everyone in our scenario wore blue shoes wouldn't be helpful. It would be helpful to know how evenly distributed their anxiety scores were. Measures of central tendency and measurements of variability make up descriptive statistics (spread).

The mean, median, and mode are measurements of central tendency, while the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness are measures of variability.

In order to emphasise potential correlations between variables and to give basic information about the variables in a dataset, descriptive statistics can be helpful for both of these aims. The three most used descriptive statistics, which represent the following three variables: graphical/illustrative techniques.

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Therefore , the solution of the given problem of percentage comes out to be $18 is the original price.

In mathematics, a percentage is any value that can be represented as a fraction of 100. There are also sporadic uses of the abbreviations "pct.," "pct," or "pc." Nonetheless, it is typically denoted by the "%" symbol. The proportional amount is flat and lacks any dimensions. As percentages have a numerator of 100, they can be thought of as fractions. The percent symbol (%) must come after a number to denote that it is a percentage.

Here,

To determine the sale price of the jeans including tax, Jo should follow these steps:

Find the sale price of the jeans before tax:

Sale price = Original price - Discount

= $30 - 40%($30)

= $30 - $12

= $18

Find the tax amount by multiplying the sale price by the tax rate (which varies depending on the location):

Tax amount = Sale price x Tax rate

Add the sale price and the tax amount to get the total cost:

Total cost = Sale price + Tax amount

So the best plan for Jo to determine the sale price including tax would be to follow the above steps using the applicable tax rate in their location.

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Answer:

Step-by-step explanation:

Let's simplify the given expression by combining like terms:

3x + 6 + x - 2 + 8(x - 3) - 4 - 4 + x + 1 - 2(x + 2) + 6 + 7x - 8x

First, let's simplify the expression inside the parentheses:

8(x - 3) = 8x - 24

Now we can combine like terms:

3x + x + x + 7x - 8x + 6 - 2 - 4 - 4 + 1 + 6 - 2( x + 2) + 8x - 24

Simplifying further:

6x - 2 - 4 - 4 + 8x - 2(x + 2) - 17

6x + 8x - 2x - 2(2) - 25

12x - 4 - 25

12x - 29

Therefore, the answer to the given expression is 12x - 29.

Answer:

hope this helps!!

Step-by-step explanation:

The critical value z Subscript alpha divided by 2zα/2 that corresponds to the given confidence level. 94% is 1.88.

To find the critical value zα/2 that corresponds to the given confidence level of 94%, we need to use the standard normal distribution table or a calculator with a normal distribution function.

The steps to find the critical value are:
1. Subtract the confidence level from 100% to get the level of significance α: α = 100% - 94% = 6%
2. Divide the level of significance by 2 to get α/2: α/2 = 6%/2 = 3%
3. Convert the percentage to a decimal: 3% = 0.03
4. Find the z-score that corresponds to the area to the left of the critical value, which is 0.5 + α/2 = 0.5 + 0.03 = 0.53
5. Use the standard normal distribution table or a calculator to find the z-score that corresponds to an area of 0.53. The z-score is approximately 1.88.

Therefore, the critical value zα/2 that corresponds to the given confidence level of 94% is 1.88.

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The chemical reaction reaches it's minimum temperature at 3 seconds and the minimum temperature attained by the chemical reaction is 1° C.

A parabola is a two dimensional figure on a plane which is U shaped and any point on the parabola is at an equal distance from a fixed point called focus and a fixed line called directrix.

Given is a graph of parabola.

A graph of parabola indicates that the function is quadratic.

The chemical reaction reaches it's minimum temperature at the vertex of the parabola.

Vertex of the parabola is the coordinates (3, 1).

Minimum temperature is attained at time t = 3 seconds.

The minimum temperature attained is 1° C.

Hence the minimum temperature od 1° C is attained in 3 seconds.

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The first three terms of the AP are -4.28, -7.28, -10.28

An arithmetic sequence in algebra is a sequence of numbers where the difference between every two consecutive terms is the same.

Given that, the sum of the first 9 terms of an AP is 56 and the sum of the next 10 terms is 430. we need to find the first three terms of the AP.​

The sum of the first n terms in an arithmetic sequence is (n/2)⋅(a₁+aₙ). It is called the arithmetic series formula.

Therefore,

56 = 9/2(2a₁+(9-1)d)

12.44 = 2a₁+7d

2a₁ = 12.44-7d....(i)

430 = 19/2(2a₁+18d)

45.26 = 2a₁+18d

2a₁ = 45.26-18d....(ii)

Equating the RHS of the equations,

12.44-7d = 45.26-18d

11d = 32.82

d = 3

Put d = 3, in equation (i)

2a₁ = 12.44-7(3)

2a₁ = -8.56

a₁ = -4.28

Therefore, the next three terms = -4.28, -7.28, -10.28

Hence, the first three terms of the AP are -4.28, -7.28, -10.28

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Shyam would need S$250 to send NRs 20,000 to Nepal.

To determine how many Singapore dollars Shyam needs to send NRs 20,000 to Nepal, we need to first use the exchange rate provided to convert NRs to Singapore dollars.

The exchange rate given is S$1.00 = NRs 80.00. This means that for every Singapore dollar, Shyam can get 80 Nepalese rupees.

To find out how many Singapore dollars Shyam needs to send NRs 20,000, we need to divide NRs 20,000 by 80, which gives:

NRs 20,000 / 80 = S$250

Therefore, Shyam would need S$250 to send NRs 20,000 to Nepal.

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Answer:

f(4)= 36

f(4) = 7n-7

Step-by-step explanation:

f(4)= 9(4)

36= f(4)

f(4) = - 2(4)(n-1)-1

8(n-1) - 1

7 (n-1)

7n-7 = f(4)

Answer:

Option D : 22°

Step-by-step explanation:

The relationship between angle C and the two legs of the right triangle ie AB and BC is

[tex]\tan C = \dfrac{AB}{BC}\\\\\text{We have AB = 2, AC = 5}\\\\\rightarrow \tan C = \dfrac[2}{5}= 0.4\\\\m\angle C = \tan^{-1}(0.4) = 21.8^\circ[/tex]

Rounded to the nearest degree this would be 22°

Option D

Answer:

D

Step-by-step explanation:

using either the sine or cosine or tangent ratios in the right triangle , that is

sin C = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{2}{\sqrt{29} }[/tex] , then

∠ C = [tex]sin^{-1}[/tex] ( [tex]\frac{2}{\sqrt{29} }[/tex] ) ≈ 22° ( to the nearest degree )

or

cos C = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{5}{\sqrt{29} }[/tex] , then

∠ C = [tex]cos^{-1}[/tex] ( [tex]\frac{5}{\sqrt{29} }[/tex] ) ≈ 22° ( to the nearest degree )

or

tan C = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{2}{5}[/tex] , then

∠ C = [tex]tan^{-1}[/tex] ( [tex]\frac{2}{5}[/tex] ) ≈ 22° ( to the nearest degree )

The missing side of the prism measures 56 units.

Here we can see that the front face is a triangle with a base of 8 units and a height of 15 units. And x is the length perpendicular to that face, then the volume of the prism is:

V = (15)*(8)*x/2

We know that V = 3,360 cubic units, then:

3,360  = (15)*(8)*x/2

3,360 = 60*x

3,360/60 = x

56 = x

The missing side measures 56 units.

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From the graph, the value of the function g(-9) is 1

From the question, we are to evaluate the function using the given information from the graph.

The given function is g(-9)

To evaluate the function, g(-9), from the graph, we will locate the point where x = -9 on the cartesian plane and then we will trace the point straight to the function graph. From the point on the function graph, we will read the value on the y-coordinate of the point by tracing a straight line to the y-axis.

From the graph,

The value of g(-9) is 1

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