Convert 30 kilograms into gram

B. The statement is false. The transpose of the product of two matrices is the product of the transposes of the individual matrices in reverse order, or (AB)^T=B^TA^T.

Justification:
1. Let A and B be arbitrary matrices for which the product AB is defined.
2. To find the transpose of the product (AB)^T, we need to first understand the properties of transposes.
3. According to the property of transposes, (AB)^T is equal to the product of the transposes of the individual matrices in reverse order.
4. So, (AB)^T = B^TA^T, which contradicts the statement (AB)^T = A^TB^T.

Hence, the correct answer is option B.

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Answer:

Two expressions for the area are;

i) x/3 + 2·y + 6

ii) (1/3) × (x + 6·y + 18)

Step-by-step explanation:

The given dimension of the rectangle are;

The height of the rectangle, h = 1/3

The width of the smallest rectangle, w₁ = x

The width of the med sized rectangle, w₂ = 6·y

The width the large rectangle, w₃ = 18

The area, 'A', of the entire rectangular figure, the big rectangle, can be expressed as follows;

A = A₁ + A₂ + A₃

Where;

A₁ = The area of the smallest rectangle

A₂ = The area of the mid sized rectangle

A₃ = The area of the large rectangle

∴ A = (1/3) × x + (1/3) × 6·y + (1/3) × 18 = x/3 + 2·y + 6

The area of the big rectangle. 'A', can also be found as follows;

A = (1/3) × (x + 6·y + 18)

Therefore, two expressions for the area of the big rectangle are;

x/3 + 2·y + 6 and (1/3) × (x + 6·y + 18).

Based on the given perimeter of the polygon and the length of each side; the length of the longest side of the polygon is 29 cm

Perimeter of the polygon = x + (x + 6) + (x + 5) + (x + 1) + (x + 8) + (x + 4)

150 = x + x + 6 + x + 5 + x + 1 + x + 8 + x + 4

150 = 6x + 24

150 - 24 = 6x

126 = 6x

x = 126/6

x = 21

The longest side of the polygon is (x + 8)

= 21 + 8

= 29 cm

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-1 us a answer for your questions or support

false. The vertical axis is the y-axis, which is where x=0. In this equation, when x=0, we have: y=4(0)-5
y=-5

Therefore, the line produced by the equation Y=4X−5 crosses the vertical axis at y=-5, not y=5.

To further understand this concept, we can visualize the equation on a graph. When we plot the points (0,-5) and (1,-1) (which is found by substituting x=1 into the equation), we can draw a line that passes through both points. This line is the graph of the equation Y=4X−5. We can see that the line crosses the vertical axis (y-axis) at y=-5, which confirms that the answer is false.

In summary, the equation Y=4X−5 crosses the vertical axis (y-axis) at y=-5, not y=5.

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The claim that there is not much difference between qualitative and quantitative data is incorrect.

Qualitative and quantitative data are two distinct types of data that serve different purposes and have different characteristics.

Qualitative data refers to non-numerical information that is typically obtained through observations, interviews, or surveys. It provides insights into opinions, attitudes, behaviors, and subjective experiences. Qualitative data is often descriptive in nature, expressed in words, narratives, or themes. It allows researchers to explore complex phenomena, understand contextual factors, and capture the richness of human experiences. Examples of qualitative data include interview transcripts, field notes, and open-ended survey responses.

On the other hand, quantitative data is numerical in nature and involves the collection and analysis of measurable variables. It focuses on quantities, statistical analysis, and mathematical modeling. Quantitative data allows researchers to quantify relationships, make predictions, and conduct statistical tests. It is often collected through surveys, experiments, or structured observations. Examples of quantitative data include numerical measurements, survey responses on a Likert scale, and statistical values such as means and standard deviations.

In conclusion, qualitative and quantitative data are distinct in their characteristics, purpose, and analytical approaches. The claim that there is not much difference between them is incorrect.

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Answer:

Roughly a 63.2653% decrease

Step-by-step explanation:

63.2653% of 49 is 30.999997

49-30.999997=18.000003

Rolling a fair​ six-sided die is supposed to randomly generate the numbers 1 through 6, then the random in this context is option (D) That in the long​ run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.

Here a six sided die is rolling fairly

The sample space = { 1,2,3,4,5,6}

Sample space of the experiment is the all the possible outcomes of the experiment.

Here 1, 2, 3, 4, 5 and 6 are the random outcomes of the experiment

Hence, rolling a fair​ six-sided die is supposed to randomly generate the numbers 1 through 6, then the random in this context is option (D) That in the long​ run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.

The complete question is:

Rolling a fair​ six-sided die is supposed to randomly generate the numbers 1 through 6. Explain what random means in this context? Choose the correct answer below.

a. That if a 1 is rolled it that means that each other number was not rolled.

b. That the only possible outcomes are​ 1, 2,​ 3, 4,​ 5, and 6.

c. That each result will not be influenced by the previous result of the die roll.

d. That in the long​ run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.

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Answer: y=914.1 feet max height

Step-by-step explanation:

0.165 million jobs must be created monthly to keep unemployment from increasing.

How many new jobs have to be created each month to keep unemployment from increasing?

The population of the labor force = is 165 million

Percentage increase of labor force in a year = 1.2 % of 165 million

Percentage increase in the labor force in a month 1.2 %/12=0.1 %=  of 155 million

Jobs required to be created each month = population increase each month

165 million *0.1/100=0.165 million

0.165 million jobs must be created monthly to keep unemployment from increasing.

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Answer:

$1584.2

Step-by-step explanation:

Given data

R= 5.5%

T= 2025-- 2019=  6years

P=  $22,25

Let us apply Compound interest formula

A=P(1-r)^r ------------Note negative for  depreciation

A= 2225(1-0.055)^6

A= 2225(0.945)^6

A= 2225*0.712

A=$1584.2

Using the z-distribution, we have that:

a)

b) Around 50% of the customers use their cell phones to either access digital coupons or look up recipes, while less than 50% use them to read reviews or locate items.

A confidence interval of proportions is given by:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which:

95% confidence level, hence\(\alpha = 0.95\), z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so \(z = 1.96\).

Also, a sample of 731, hence n = 731.

Item a:

358 use their smartphone to access digital coupons, hence:

\(\pi = \frac{358}{731} = 0.4897\)

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4897 - 1.96\sqrt{\frac{0.4897(0.5103)}{731}} = 0.4535\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4897 + 1.96\sqrt{\frac{0.4897(0.5103)}{731}} = 0.5259\)

The 95% confidence interval estimate of the population proportion of customers who use their smartphone to access digital coupons is (0.4535, 0.5259).

355 use their smartphone to access look up recipes, hence:

\(\pi = \frac{355}{731} = 0.4856\)

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4856 - 1.96\sqrt{\frac{0.4856(0.5144)}{731}} = 0.4494\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4856 + 1.96\sqrt{\frac{0.4856(0.5144)}{731}} = 0.5218\)

The 95% confidence interval estimate of the population proportion of customers who use their smartphone to access look-up recipes is (0.4494, 0.5218).

234 use their smartphone to access read reviews of products, hence:

\(\pi = \frac{234}{731} = 0.3201\)

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3201 - 1.96\sqrt{\frac{0.3201(0.6799)}{731}} = 0.2863\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3201 + 1.96\sqrt{\frac{0.3201(0.6799)}{731}} = 0.3539\)

The 95% confidence interval estimate of the population proportion of customers who use their smartphone to access read reviews is (0.2863, 0.3539).

154 use their smartphone to access locate items, hence:

\(\pi = \frac{154}{731} = 0.2107\)

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2107 - 1.96\sqrt{\frac{0.2107(0.7893)}{731}} = 0.1811\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2107 + 1.96\sqrt{\frac{0.2107(0.7893)}{731}} = 0.2403\)

The 95% confidence interval estimate of the population proportion of customers who use their smartphone to access locate items is (0.1811, 0.2403).

Item b:

Considering if 50% = 0.5 is or is not part of the confidence interval, we have that:

Around 50% of the customers use their cell phones to either access digital coupons or look up recipes, while less than 50% use them to read reviews or locate items.

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Answer:

15 tables

Step-by-step explanation:

75/5 = 15

Answer:

There are 15 tables in the library.

Step-by-step explanation:

You know this because you know the library holds 75 people and you know how many people can sit at a table so to find the answer you divide 75 by 5 and you get 15. To check this you can multiply 15 by 5 and you will get 75.  

The equation of the plane passing P (1,2,1) and orthogonal to the two planes: x-y-z-10 = 0, x-2y + z-2=0 is -3x-2y-z+8=0.

Equation of plane passing through (x1,y1,z1) is given by

A(x-x1)+B(y-y1)+C(z-z1)=0

where, A, B, and C are direction ratios

In the question, it is given that the plane passes through (1,2,1)

So, the equation of the plane will be in the form,

A(x-1)+B(y-2)+C(z-1)=0

It is also given that the plane is perpendicular to give 2 planes.

So, their normal to the plane would be perpendicular to the normal of both planes.

So, the required normal is a cross-product of the normals of planes

x-y-z-10=0 and x-2y+z-2=0

i.e,

-3i-2j-k=0

so, the direction ratios,

A=-3, B=-2, C=-1

putting the direction ratios in the previous equation of the plane,

-3(x-1)-2(y-2)-1(z-1)=0

-3x+3-2y+4-z+1=0

-3x-2y-z+8=0

is the required equation of the plane

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Answer:

2

Step-by-step explanation:

Hey there!

The equation is asking us, c x c = 4

What is c?

Well the only number that is equal to 4 when you square it is 2

To show that expression P(X=n) = \((1/2)^{(n-1)\), where X is a Poisson random variable with mean λ and λ has an exponential distribution with mean 1, we can use the following steps:

First, we need to find the probability density function of λ, denoted as f(λ), which is given as:

f(λ) = e^(-λ), λ > 0

Since λ has an exponential distribution with mean 1, we have:

λ = E[λ] = 1

Next, we need to find the probability mass function of X, denoted as P(X=n), which is given as:

P(X=n) = e^(-λ) * (λ^n / n!), n = 0, 1, 2, ...

Substituting λ = 1, we get:

\(P(X=n) = e^{(-1)} * (1^n / n!), n = 0, 1, 2, ...\)

Next, we can simplify the expression for P(X=n) by using the property of the exponential function, which is:

\(e^{(-1)\) = 1/e

Substituting this into the previous equation, we get:

P(X=n) = (1/e) * (\(1^n\) / n!), n = 0, 1, 2, ...

Next, we can simplify the expression for P(X=n) by using the property of the factorial function, which is:

n! = n * (n-1)!

Substituting this into the previous equation, we get:

P(X=n) = (1/e) * (1/1) * (1/2) * (1/3) * ... * (1/n), n = 0, 1, 2, ...

Finally, we can simplify the expression for P(X=n) by using the property of the geometric series, which is:

\(1/2 + 1/4 + 1/8 + ... + 1/2^{n-1} = (1/2)^{n-1\)

Substituting this into the previous equation, we get:

P(X=n) = (1/e) * \((1/2)^{n-1\), n = 0, 1, 2, ...

Therefore, we have shown that P(X=n) = \((1/2)^{(n-1)\), where X is a Poisson random variable with mean λ and λ has an exponential distribution with mean 1.

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7 i do not feel like explaining tbh

Answer:

The answer is "\(5x+10y+5z\)"

Step-by-step explanation:

Given value:

\(\to \frac{1}{2}(10x + 20y +10z)\)

Using the distributive property.

If there are three integers a,b and c then:

\(a \cdot(b+c) =a \cdot b + a \cdot c\)

\(\to \frac{1}{2}(10x) +\frac{1}{2}(20y+10z)\\\\\to (5x) +\frac{1}{2}(20y+10z)\)

Again apply the distributive property

 \(\to (5x) +(10y+5z)\\\\\to (5x+10y+5z)\)

Or

\(\to \frac{1}{2}(10x + 20y +10z)\)

take common 2 from the equation:

\(\to \frac{1}{2}\times 2 (5x + 10y +5z)\\\\\to (5x + 10y +5z)\\\)

Answer:

5x+10y+5z

Step-by-step explanation:

Answer:

loss % = 9.25%

Step-by-step explanation:

loss % = 100 × loss / cost price

loss % = 100 × ($780 - $707.85) / $780

loss % = 100 × $72.15 / $780

loss % = 9.25%

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Answer:

Rectangular area attached to the back of the building

two sides of legth 7 m and one side of 14 m

Step-by-step explanation:

We need to compare quantity of fencing material to be used in both cases

1.Option

A = 100 m²          dimensions of storage area  "x"    and "y"

x*y = 100     y = 100/x

The perimeter of the storage area is

p = 2*x + 2*y       ⇒ p = 2*x + 2*100/x

p(x) = 2*x + 200/x

Taking drivatives on both sides of the equation

p´(x) = 2 - 200/x²

p´(x) = 0         ⇒        2 - 200/x² = 0

2*x² - 200 = 0       x² = 100

x = 10 m

and  y = 100/10      

y = 10 m

Required fencing material in first option

2*10 + 2*10  =  40 m

2.-Option

Following the same procedure

A = 98 m²       y = A/x         y = 98/x

p = 2*x + y             p(x) =  2*x  +  98/x

p´(x)  = 2 - 98/x²             p ´(x) = 0

2 - 98/x²  = 0

2*x²  = 98           x² =  49

x = 7 m       and        y   =  98/ 7         y  = 14 m

Total quantity of fencing material

p = 2* 7 + 14         p = 28

Therefore option 2 is more convinient from economic point of view

Optimal design rectangular storage area with two sides of 7 m and one side of 14 m

Given:

Brian and Ali take turns picking a jelly bean without looking

Required: Dependent or independent event

Explanation:

Brian picked a jelly bean first and after Ali picked second. The probability of Ali picking up depends on the jelly bean.

Hence the events are depndent.

Final Answer: Dependent events

The value of the fractions in the mixed fraction form is 3(⁷/₉), 4(⁷/₉), and 6(²/₅) respectively.

A mixed fraction is a fraction that is created by fusing a fraction with a whole number. The fraction is defined as the division of the whole part into an equal number of parts.

The given fractions 34/9, 43/9, and 32/5 can be written in the form of the mixed fraction as below:-

To write the fractions in the form of the mixed fraction first divide the fraction by the complete number and put the remainder on the numerator.

34/9 = 3(⁷/₉)

43/9 = 4(⁷/₉)

32/5 = 6(²/₅)

Therefore, the value of the fractions in the mixed fraction form is 3(⁷/₉), 4(⁷/₉), and 6(²/₅) respectively.

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The alternate hypothesis that indicates the mean of the x2 population is smaller than that of the x1 population is H1: μ2 < μ1, which can be tested using a two-sample t-test.

When conducting a test for the difference of means for two independent populations x1 and x2, the alternate hypothesis that would indicate that the mean of the x2 population is smaller than that of the x1 population is:

H1: μ2 < μ1

Where H1 represents the alternate hypothesis, μ1 represents the mean of population x1, and μ2 represents the mean of population x2. The symbol "<" indicates that the mean of population x2 is smaller than the mean of population x1.

In other words, this alternate hypothesis states that there is a significant difference between the means of the two populations, with the mean of population x2 being lower than the mean of population x1. This hypothesis can be tested using a two-sample t-test, where the null hypothesis assumes that there is no significant difference between the means of the two populations.

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Answer: 1392 people who work for the company are men.

I did this by multiplying 2320 by 0.6, which got me my answer.

Have a great day!

Stay safe and healthy!

Happy holiday seasons!

May I please have brainliest?

By analyzing the graph's features, you can determine which rational function it represents.

A rational function is a fraction of two polynomial functions, where the denominator is not zero. Rational functions can have vertical asymptotes, where the denominator equals zero and the function is undefined.

They can also have horizontal asymptotes, where the degree of the numerator and denominator functions is equal and the coordinates of the leading term are the same. The graph of a rational function can also have slant asymptotes if the degree of the numerator is one greater than the degree of the denominator.

To determine which rational function is graphed, you need to compare the graph to the standard forms of rational functions. For example, the graph of a rational function y=1/x would have a vertical asymptote at x=0 and would approach the x-axis as it goes to positive and negative infinity. By analyzing the graph's features, you can determine which rational function it represents.

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Answer:

The first and last answer.

Step-by-step explanation:

If you look closely at the triangles you can tell which ones are the same and which differ.

Hope this helps!! <3

Answer:-3

Step-by-step explanation: -3 because when you do it I really don't know how to explain it srry

Answer:

-2 3 / 7 is the answer to this question