Given δxyz ≅ δegf, find the measurements of the unknown sides and angles. zx = in. eg = in. m∠x = ° m∠g = °

Answer:

B. 48

Step-by-step explanation:

plug in the value of h into the expression and simplify from there

Answer:

x = 51

y = -82

(51, -82)

Step-by-step explanation:

Look at the attachment

The total area will be;

⇒ 7.514 × 10⁷ km²

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The area of the Okhotsk Sea is 1.583 × 10⁶ km².

And, The area of the Indian Ocean is 7.3556 × 10⁷ km².

Now,

Since, The area of the Okhotsk Sea is 1.583 × 10⁶ km².

And, The area of the Indian Ocean is 7.3556 × 10⁷ km².

Hence, The total area = 1.583 × 10⁶ + 7.3556 × 10⁷

                                  = 1.583 × 10⁶ + 73.556 × 10⁶

                                  = 75.14 × 10⁶

                                  = 7.514 × 10⁷ km²

Thus, The total area will be;

⇒ 7.514 × 10⁷ km²

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chamber of commerce’s claim at the 0.02 level of significance, z = -1.75

What is z test?

If the data is distributed normally, a z test can be used to determine whether the means of two populations differ from one another. The z test statistic's value must be determined, together with the null hypothesis and alternative hypothesis setups, for this reason. On the z critical value, the decision criterion is based. The distribution graph is divided into acceptance and rejection zones during hypothesis testing by the z critical value. The null hypothesis can be rejected if the test statistic lies inside the rejection region; otherwise, it cannot.

a recent survey reported that small businesses spend 24 hours a week marketing their business.

these businesses are spending less than 24 hours a week on marketing. the chamber conducts a survey of 58 small businesses within their state and finds that the average amount of time spent on marketing is 22.7 hours a week.

assuming that the population standard deviation is 6.1 hours.

Given n = 93, u =24, x' = 23, α=5.5

z = x'- u / α(/√n) = (23-24/5.5/√5) = -1.75

Hence, chamber of commerce’s claim at the 0.02 level of significance, z = -1.75

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Answer:

equilateral triangle

Step-by-step explanation:

all of the sides to a equilateral triangle equal to 60 degrees.

the scores on a standardized test have an average of 1200 with a standard deviation of 60 and 99.7% of the students scored between (44.67 , 56.33) i.e.

between 44 and 56.

On Subtracting 1 from your sample size, we get

100 – 1 = 99.

On Subtracting confidence level from 1, and then divide by two.

(1 – .997) / 2 = 0.0015

Now, df = 99 and α = 0.0015

from the table at df = 99 we got 2.262.

Divide your sample standard deviation by the square root of your sample size.

28 / √(100) = 2.8

Now, 2.262 × 2.8 = 6.33

So, the confidence interval be,

(100 - 6.33 , 100 + 6.33) = (44.67 , 56.33)

Hence, 99.7% of the students scored between (44.67 , 56.33) i.e.

between 44 and 56.

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Answer:

(-8, -8)

Step-by-step explanation:

You need to solve one of the equation for x or y.  I am going to solve the bottom equation for x

4x -4y = 0  Add 4y to both sides

4x = 4y  Divide both sides by 4

x = y  Substitute y in for x in the first equation

-7x + 4y = 24

-7y + 4y = 24  Combine like terms

-3y = 24  Divide both sides by -3

y = -8

Since x = y

x = -8

Check:

-7y + 4y = 24

-7(-8) + 4(-8) = 24

56 - 32 = 24

4x - 4y = 0

4(-8) - 4(-8) = 0

-32 + 32 = 0

0 = 0

A statistic summarizing the strength of association between two metric variables is called the product moment correlation.

The Pearson product-moment correlation coefficient also known as Pearson’s correlation is a measure of the linear relationship between two variables/measures/questions, in other words, the Pearson product-moment correlation coefficient is a measure of the direction and strength of association that exists between two metric variables measured on at least an interval scale.

A product-moment correlation attempts to draw a line of best fit through the data of two variables, and the Pearson correlation coefficient illustrates how far away all these data points are from the best fit line. Product-moment correlation quantifies the strength as well as the direction of correlation.

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Even when water is supercooled to 86 degrees Fahrenheit below its normal freezing point (32 degrees Fahrenheit), it will not freeze. Therefore, x-32≥-86

The process of lowering a liquid or gas's temperature below its melting point without causing it to solidify is known as supercooling, sometimes known as undercooling. It accomplishes this in the absence of a seed crystal or nucleus around which a crystal structure can form.

Let temperature be x

The temperature at which water turns into a liquid or a gas is represented by inequality is x-32≥-86

The reason is that as water will not freeze even when supercooled to 86°F below its typical freezing point (32°F).

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Answer:

- 5x - 44

Step-by-step explanation:

-4 - 5(x + 8)

Distribute the -5 to the terms in parenthesis:

-4 - 5x - 40

combine numbers:

- 5x - 44

Answer:

8.4-16.2n²

Step-by-step explanation:

2.4-5.4n3n+6

= 2.4-16.2n²+6

= 8.4-16.2n²

A fence surrounding the field that is 200 feet long and 100 feet wide will cost $2400 to construct.

The measurement that indicates the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina.

Here,

Area of rectangle=20,000 square feet

Cost of building fence for north and south=$3 per feet

Cost of building fence for east and west=$6 per feet

Let the sides be x and y,

area=x*y

20000=xy

y=20000/x

Perimeter=2l+2b

=2(x+y)

Total cost will be,

=3*2x+6*2y

=6x+12y

C=6x+12*20000/x

C=6x+240000/x

dC/dx=6-240000/x²

dC/dx=0

6=240000/x²

6x²=240000

x²=40000

x=200 feet

y=100 feet

C=6*200+12*100

C=$2400

The cost of building a fence around the field of length 200 feet and width 100 feet is $2400.

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Answer:

Step-by-step explanation:

it depends on the vaiable you choose to cancel out first. For example, if I had two equations:

-12x+9y=7

9x-12y=6

if you wanted first eliminate the x values, then you distribute a certain number to either equation that will cause the x values to cancel (one being negative, and the other being positive)

Answer: Could be 7.

Step-by-step explanation:

The Expected value for 4 tickets = $ 7.6

Given - A lottery offers one $900 prize, one $600 Prize, three $400 prizes, and four $100 prizes. One thousand tickets are sold at $5 each.

To find - Find the expectation if a person buys four tickets. Assume that the player's ticket is replaced after each draw and that the same ticket can win more than one prize. Round to two decimal places for currency problems.

Proof -

Given that,

A lottery offers

one $ 900 prize

one $ 600 prize

three $ 400 prizes

Four $ 100 prizes

And

One thousand tickets are sold at $ 5 each

Now,

If the person bought 1000 tickets then the prize he gets is

= 900 + 600 + 3×400 + 4×100

= 900 + 600 + 1200 + 400

= $3100

And

The cost of 1000 tickets = 5×1000 = $ 5000

Now,

Price 1 ticket =   $ 3.1

⇒Expectation of 1 ticket = 5 - $ 3.1  = $ 1.9      (Here $5 is price of 1 ticket)

⇒Expected value for 4 tickets = $ 4× -1.9 = $ 7.6

⇒Expected value for 4 tickets = $ 7.6

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Answer:

Step-by-step explanation: k = 25

The two found rational expressions with the difference that completes the equation is  (x + 2)/(x² - 36) and 1/(x² + 6x).

Consider the two rational expressions.

(x + 2)/(x² - 36)    ...eq 1

and 1/(x² + 6x)   ....eq 2

Subtract the second from the first.

=  [(x + 2)/(x² - 36)] - [1/(x² + 6)]

Factorise the denominator of the first equation-

= [(x + 2)/(x + 6)(x - 6)] - [1/(x(x + 6)]

Taking the LCM

= [x(x + 2) - (x - 6)]/[x(x + 6)(x - 6)]

Further simplifying,

= [x² + x + 6]/[x(x-6)(x + 6)]

Thus, the two found rational expressions with the difference that completes the equation is  (x + 2)/(x² - 36) and 1/(x² + 6x).

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The complete question is-

Drag each expression to the correct location in the equation. Not all expressions will be used.

Determine the two rational expressions whose difference completes this equation.

x² + x + 6

x(x-6)(x + 6)

The true mean number of pushups that can be performed, as determined by the t-distribution, is within a 95% confidence interval of (9, 21).

Since we know the sample standard deviation for this issue, the t-distribution is applied.

Given,

The sample mean, x = 15 .

The sample standard deviation, s = 9 .

The sample size, n = 10 .

As a result, df = 9. Next, we determine the number of degrees of freedom, which is one less than the sample size.

The crucial value for a 95% confidence interval is then determined by looking at the t-table or using a calculator, yielding t = 2.2622.

The margin of error;

M = t × s/n

Then,

M = 2.2622 × 9/√10 = 6

The confidence interval is:

x ± M

Then

x - M = 15 - 6 = 9

x + M = 15 + 6 = 21

Therefore,

The confidence interval is (9, 21).

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The plant's height after 34 months will be 89cm if the plant is already 55 centimeters tall.

Height is defined in mathematics as the vertical distance from the object's top to its base. It is occasionally referred to as 'altitude.' The term height in geometry refers to the measurement of an object along the y-axis in coordinate geometry.

Height and elevation all refer to the vertical distance between the top and bottom of something or between a base and anything above it. Height refers to something measured vertically, whether it be high or low.

Given, the relation between the height and the months is:

H(m)=55+m

Now, we have to find the height of the plant after 34 months.

So, we substitute m=34 in the expression to obtain height,

H(m)=55+m

H(34)=55+34

H(34)=89cm

Hence the height will be 89cm

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Answer:

dS > dC + 4 LY

(B) 2 separate resume formats should be the absolute minimum number that someone should have created.

A résumé, also known as a curriculum vitae (CV), is a written statement that a person uses to describe their educational history, professional experience, and accomplishments.

Although there are many uses for resumes, they are most frequently employed to find new jobs.

A standard résumé includes a "summary" of relevant educational background and work history.

So, a condensed format should be used for the first.

One page should be plenty for a good resume.

However, a two-page format might be employed when things are crammed onto one page.

For extra information about yourself, utilize a two-page format.

Typically, we submit the streamlined version before our interview.

In order to give the interviewer access to extra material, we might demonstrate our extended format during the interview.

Therefore, (B) 2 separate resume formats should be the absolute minimum number that someone should have created.

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Correct question:
What is the minimum number of different résumé formats that an individual should have prepared?

a. 1

b. 2

c. 3

d. 4

Answer: 12x-60

Step-by-step explanation:

-12 x 5/6 = 10

-12 x 5 = -60

10x-60+2x

12x-60

The t-score should be used to find the 80% confidence interval for the population mean is $1.304

the interval of confidence:  This indicates the degree of confidence and ambiguity in a sampling process. It provides us with a range of outcomes, indicating that we would be reasonably certain that our genuine value or variable falls inside the range.

The sample size was 40 pharmacies (n=40). To calculate the degrees of freedom, use the formula: df=n-1=40-1=39.

The scenario specifies an 80% confidence level. So,α=1−CL=1−0.8=0.2 However, we wish to utilize the value for 2, which would be 0.22=0.1. We ought to locate the row for 39 freedom degrees and the column for t0.1 using the table. So the t-score for determining the 80% confidence interval is 1.304. We may alternatively use a calculator and enter 1-α2=0.9 as well as the degrees of freedom into invT, and then enter invT. (0.9,39).

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The percentage of French-speaking Canadians went down between 2006 and 2011.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

In 2006, in Canada, 7.4 million out of 31.4 million of canadians said they spoke french. The percentage will be:

= 7.4/31.4 × 100

= 23.6%

Since Canada's population went up 6%, the bee population will be:

= 31.4 million × (6% × 31.4 million)

= 33,284,000

The number of Canadians speaking french went up 300 000.

The percentage will be:

= 7,700,000/33,284,000 × 100

= 23%

Therefore, the percentage reduced.

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Answer:

Step-by-step explanation:

Can you explain more please?

The probability that you will catch a t-shirt that is not of medium size would be 0.7

What is the probability?

Probability is a branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, where 0 indicates the event's impossibility and 1 indicates certainty.

Small=S=20, M=medium=30,

L = Either large or extra large=50

P(T-shirt that is not a medium)= 1 - P(T-shirt is medium)

                                           = 1 - 30/100

                                           = 1 - 0.3

                                           = 0.7

Hence, the probability that you will catch a t-shirt that is not of medium size would be 0.7

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The number of total different outcomes are, 7,776.

What is rolling dice?

Every face of a cube known as a dice has a unique number.

By throwing a dice into the air, players can advance in any game by getting a certain number. Typically, this dice or dice has numbers from 1 to 6 written on each face or side of the cube-like shape.

Given:

Discrete 5 dice of different colors are rolled, and the number coming up on each dice is recorded.

Since all the dice are of different colors.

So any combination of the numbers on the dice is unique.

Dice has numbers 1 to 6.

So, for each dice there are 6 possibilities.

Since number coming on a dice is independent to the number coming on the another dice.

So, total different outcomes are = 6 x 6 x 6 x 6 x 6 = 6^5 = 7776.

Hence, the number of total different outcomes are, 7,776.

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