Use technology or a z-distribution table to find the indicated area. The weights of grapefruits in a bin are normally distributed with a mean of 261 grams and a stranded deviation of 9.4 grams. Approximately 20% of the grapefruits weigh less than which amount
• 239 g •247 g •253 g •261 g

Using the cosine ratio, the distance between Dimitri and Sarah is calculated as approximately 12.4 m.

The cosine ratio is a trigonometric ratio that represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is calculated by dividing the length of the adjacent side by the length of the hypotenuse.

Using the cosine ratio, we have:

Reference angle (∅) = 72 degrees

Hypotenuse length = 40 m

Adjacent length = distance between Dimitri and Sarah = x

Plug in the values:

cos 72 = x/40

x = cos 72 * 40

x ≈ 12.4 [to one decimal place]

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Answer:

\( - 8(45) + 482 = - 360 + 482 = 122\)

Answer:

(9, 9)

Step-by-step explanation:

midpoint of (-4,15) and (22,3)

\( = \bigg( \frac{ - 4 + 22}{2}, \: \: \frac{15 + 3}{2} \bigg) \\ \\ = \bigg( \frac{18}{2}, \: \: \frac{18}{2} \bigg) \\ \\ = ( 9, \: \: 9) \\ \\ \)

Adela's claim that adding the same number to both coordinate gives an equivalent ratio is false

From the question, the point is given as

Point = (7, 8)

This point can be represented as

(x, y) = (7, 8)

When the point is represented as a ratio, we have the following representation

x : y = 7 : 8

When the same number (say 3) is added to both coordinate, we have

x : y = 10 : 11

10 : 11 and 7 : 8 are not equivalent ratio

Hence, Adela's claim is not correct

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• Increase the shape 3 times its original size.

Answer:

To learn one must experiment and leave their comfort zone

- Sun tzu (probably)

So, by a scale factor of 3 it simply means multiply the size by 3.

The function f ( x ) = y = 2 ( x + 5 )² - 6 is a one to one function

What is one to one function?

One to one function or one to one mapping states that each element of one set, say Set (A) is mapped with a unique element of another set, say, Set (B), where A and B are two different sets. It is also written as 1-1. In terms of function, it is stated as if f(x) = f(y) implies x = y, then function f is one to one.

The function, f(x), is a one to one function when one unique element from its domain will return each element of its range. This means that for every value of x, there will be a unique value of y or f(x).

f ( x₁ ) = f ( x₂ ) if and only if x₁ = x₂

Given data ,

Let the function be f ( x )

where f ( x ) = y

So , the equation will be

y =  2 ( x + 5 )² - 6

Now , on simplifying the equation , we get

y = 2 ( x² + 10x + 25 ) - 6

y = 2x² + 20x + 50 - 6

y = 2x² + 20x + 44

Therefore , the function is f ( x ) = y = 2x² + 20x + 44

Now , replace y with x , we get

f ( y ) = x = 2y² + 20 y + 44

And f ( x₁ ) = f ( x₂ )

So , the function is one to one function

Hence , The function f ( x ) = y = 2 ( x + 5 )² - 6 is a one to one function

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The rectangle measures 2" by 3" and it is scaled up (increased) with a scale factor of 3.

This means that the sides of the rectangle were increased by a factor of 3.

Therefore, the sides of the image will be:

2 * 3 = 6 inches

and

3 * 3 = 9 inches

The dimensions of the image is 6 inches by 9 inches

The area of a rectangle is given as:

A = L * W

where L = length

W = width

Therefore, the area of the image is:

A = 6 * 9 = 54 square inches

Step-by-step explanation:

total value would be 20,000

place value is hundreds of thousands

that's my opinion cuz I didn't fully understand it but I tried thanks

Answer:

3/10

Step-by-step explanation:

............iam not sure

The required ratio of the unshaded square to the shaded square is 7 : 3.

Given that,
To determine the ratio of the number of unshaded squares to the number of shaded squares.​

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Number of shaded squares = 3
number of unshaded squares = 7
Required ratio = 7 / 3 = 7 : 3

Thus, the required ratio of the unshaded square to the shaded square is 7 : 3.

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The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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According to the information, the missing number from the box is number 40.

To find the missing number of the table we must take into account different elements. In particular we must look at the totals and the columns and rows in which the empty space is. Once we identify the totals we can subtract the other values from the total and find the missing number in the table.

According to the above we can infer that the missing number is 40.

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The opposite numbers that have a distance of 18 units between them on a number line are: -9 and 9.

The distance on a number line between two numbers is the number of units that separates both numbers.

Opposite numbers have the same distance to point zero on a that lies between them. For example, 9 on a number line is 9 units from point 0. -9 is also 9 units. 9 is the opposite number of -9.

Distance between -9 and 9 = |-9 - 9| = |-18| = 18 units.

Therefore, the opposite numbers that have a distance of 18 units between them on a number line are: -9 and 9.

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Answer:

Step-by-step explanation:

The expression 3s + s + 3 represents the total amount Alex and his family will spend to go to the movies. To simplify this expression, we can combine like terms.

The terms 3s and s are like terms because they both have the variable "s" raised to the power of 1. To combine them, we add their coefficients:

3s + s = (3 + 1)s = 4s

Therefore, the simplified expression is 4s + 3, which represents the total amount Alex and his family will spend to go to the movies.

Answer: Pen=$1.45, Notebook $2.33

Step-by-step explanation:

In order to solve this equation, you must be able to use your substitution propertys. 5x+2y=11.91 and 3x+3y=11.34

Using the first equation, 2y=11.91-5x then y=(11.91-5x)/2. Then substitute.

Answer: True

Step-by-step explanation:

Remote interior angles are formed when a side of a triangle is extended beyond the triangle.

Answer: The common denomination is 12

Step-by-step explanation:

Because 1/3 times 1/4 is 1/12.                                                :)

SOLUTION

Final answer:

Answer:

the correct answer is coconuts

Step-by-step explanation:

The balance in the account after the given period is \(\$6,872.74\)  

we know that

The compound interest formula is equal to  

\(\text{A}=\text{P}(1+\frac{\text{r}}{\text{n}})^{\text{nt}}\)

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

\(\text{t}= 8 \ \text{years}\)

\(\text{P}=\$4,000\)

\(\text{r}=0.07\)

\(\text{n}=1\)

substitute in the formula above

\(\text{A}=\$4,000(1+\frac{0.07}{1})^{1\times8}=\$6,872.74\)  

The measure of angle Z1 is equal to 3 times the value of x, and the measure of Angle Z2 is equal to x plus 72.

The measure of angle Z1 is equal to 3 times some value x, and the measure of angle Z2 is equal to the sum of that value x and 72.

To clarify, it seems that we are dealing with two angles, Z1 and Z2, and their measures are expressed in terms of a variable x.

the given information:

- mZ1 = 3x

- mZ2 = x + 72

These equations indicate that the measure of angle Z1 is equal to 3 times the value of x, and the measure of angle Z2 is equal to x plus 72.

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\(~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$\stackrel{tripled}{(7550)3}\\ P=\textit{original amount deposited}\dotfill & \$7550\\ r=rate\to 7.25\%\to \frac{7.25}{100}\dotfill &0.0725\\ t=years \end{cases}\)

\(3(7550)=7550e^{0.0725\cdot t}\implies \cfrac{3(7550)}{7550}=e^{0.0725t}\implies 3=e^{0.0725t} \\\\\\ \log_e(3)=\log_e\left( e^{0.0725t} \right)\implies \ln(3)=0.0725t \\\\\\ \cfrac{\ln(3)}{0.0725}=t\implies 15.15327\approx t\implies 15\approx t\)

It will take approximately 9.55 years (rounded to the nearest year) for the money to triple.

Here, we have,

To determine how long it will take for the money to triple, we need to use the continuous compound interest formula:

A = P *\(e^{rt}\),

where:

A = final amount (triple the initial amount)

P = principal amount (initial deposit)

e = Euler's number (approximately 2.71828)

r = interest rate

t = time (in years)

In this case, we have:

P = $7550

r = 7.25% = 0.0725 (converted to decimal)

A = 3P (triple the initial amount)

Substituting these values into the formula, we have:

3P = P *\(e^{rt}\)

Dividing both sides of the equation by P, we get:

3 = \(e^{rt}\)

To isolate the variable t, we take the natural logarithm (ln) of both sides:

ln(3) = ln\(e^{rt}\)

Using the logarithmic property that ln(eˣ) = x, we have:

ln(3) = rt * ln(e)

Since ln(e) = 1, the equation simplifies to:

ln(3) = rt

Now, we can solve for t by dividing both sides by r:

t = ln(3) / r

Substituting the values:

t = ln(3) / 0.0725

Using a calculator or software, we find:

t ≈ 9.55 years (rounded to two decit will take approximately 9.55 years (rounded to the nearest year) for the money to triple. deimal places)

Therefore, it will take approximately 9.55 years (rounded to the nearest year) for the money to triple.

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The first question:

"A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?"

Since the spinner has an equal chance of landing on each of its eight regions, the probability of landing on region three is 1/8, and the probability of landing on region six is also 1/8.

To find the probability of both events occurring (landing on region three and region six), you multiply the probabilities together:

P(landing on region three and region six) = P(landing on region three) * P(landing on region six) = (1/8) * (1/8) = 1/64.

Therefore, the probability of landing on both region three and region six is 1/64.

The events are mutually exclusive because it is not possible for the spinner to land on both region three and region six simultaneously.

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The second question:

"A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?"

To find the probability of either event occurring (purple or number greater than 5), we need to calculate the probabilities separately and then add them.

The probability of picking a purple jersey is 4/10 since there are four purple jerseys out of a total of ten jerseys.

The probability of picking a jersey with a number greater than 5 is 2/10 since there are two jerseys numbered 6 and above out of a total of ten jerseys.

To find the probability of either event occurring, we add the probabilities together:

P(purple or number greater than 5) = P(purple) + P(number greater than 5) = (4/10) + (2/10) = 6/10 = 3/5.

Therefore, the probability of picking a purple jersey or a jersey with a number greater than 5 is 3/5.

The events are overlapping since it is possible for the jersey to be both purple and have a number greater than 5.

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The third question:

"A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?"

To find the probability of either event occurring (milk chocolate or no peanuts inside), we need to calculate the probabilities separately and then add them.

The probability of selecting a milk chocolate is 6/10 since there are six milk chocolates out of a total of ten chocolates.

The probability of selecting a chocolate with no peanuts inside is 7/10 since there are seven chocolates without peanuts out of a total of ten chocolates.

To find the probability of either event occurring, we add the probabilities together:

P(milk chocolate or no peanuts inside) = P(milk chocolate) + P(no peanuts inside) = (6/10) + (7/10) = 13/10.

Therefore, the probability of selecting a milk chocolate or a chocolate with no peanuts inside is 13/10.

The events are mutually exclusive since a chocolate cannot be both a milk chocolate and have no peanuts inside simultaneously.

--------------------------------------------------------------------------------------------------------------------------

The fourth question:

"You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?"

The probability of the coin landing heads up is 1/2 since there are two possible outcomes (heads or tails) and they are equally likely.

The probability of rolling an even number on the die is 3

/6 or 1/2 since there are three even numbers (2, 4, and 6) out of a total of six possible outcomes.

To find the probability of both events occurring (coin lands heads up and die shows an even number), we multiply the probabilities together:

P(coin lands heads up and die shows an even number) = P(coin lands heads up) * P(die shows an even number) = (1/2) * (1/2) = 1/4.

Therefore, the probability of the coin landing heads up and the die showing an even number is 1/4.

The events are independent since the outcome of flipping the coin does not affect the outcome of rolling the die.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

How you get the answer is adding all of the percents together. (100-10=90-12=79.2-23=56.2-5=51.2)

So if there were 100 applicants let’s say, 10% of 100 is 90 so 10 applicants did not meet the business requirements leaving 90. Then about 11 (10.8 exactly) people did not pass the pre-screening assessment. Leaving 79 people, 23% of the 79 people actually didn’t show up for the interview, and 23% of 79 is around 18 and 79-18= 61. Then 5% of the 61 did not pass the background investigation, which is 4 (3.5) 61-4=57, so 57 applicants were left. The company only needs 30 people to hire so automatically you know 100 applicants who applied for the job is too many, use the numbers I gave you and use the same concept to find the exact answer.

Answer:

10

Step-by-step explanation:

125/12.5

To make the expression If a = b + c and c ___ 0, then a > b  right, c will be c > 0.

What exactly are expressions?

In mathematics, an expression is a combination of numbers, symbols, and operators (such as +, -, *, /, and ^) that represents a quantity or a relationship between quantities. It can be  number, variable, or combination of both.

Expressions are used to represent mathematical operations, formulas, and relationships. They can be simple or complex, and they can be evaluated or simplified using mathematical rules and operations.

Now,

The correct relationship symbol that makes the statement true is ">" (greater than).

If a = b + c and c > 0, then a will always be greater than b. This is because adding a positive value (c) to b will increase the result (a) above the value of b.

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Answer:

Step-by-step explanation:

1st 10 days - 8 GB

2nd 10 days - 8 GB

3rd 10 days - 8 GB

________________

30 days    -  24 GB

Triangle ADC also has a right angle at D, making it a right-angled triangle.

The exact value of x be 2.25.

The hypotenuse's square is equal to the sum of its two other side squares of a right-angled triangle, according to the Pythagoras theorem.

Triangle ADB exists even a right-angled triangle with right-angle at D.

Therefore, Base of Triangle ADB = BD = 4,

Height of Triangle ADB = AD = 3,

Hypotenuse of Triangle ADB = AB

Using the Pythagoras Theorem, we get,

\($\left[(A D)^2+(B D)^2\right]=(A B)^2$\)

substitute the values in the above equation, we get

or,\($(A B)^2=\left[(3)^2+(4)^2\right]$\)

simplifying the equation, we get

or, \($(A B)^2=[9+16]$\)

or, \($(A B)^2=25$\)

or, \($\sqrt{(A B)^2}=\sqrt{25}$\)

or, AB = 25

Triangle ADC is also a right-angled triangle with right-angle at D.

Therefore, Base of Triangle ADC = DC = x

Height of Triangle ADC = AD = 3,

And, Hypotenuse of Triangle ADC = AC

Using the Pythagoras Theorem, we get,

\(& {\left[(D C)^2+(A D)^2\right]=(A C)^2} \\\)

simplifying the equation, we get

\(& \text { or },(A C)^2=\left[(3)^2+(x)^2\right] \\\)

\(& \text { or },(A C)^2=\left[9+x^2\right]\)

Triangle ABC is also a right-angled triangle with right-angle at A. Therefore, Base of Triangle ABC = AC,

Height of Triangle ABC = AB = 5,

And, Hypotenuse of Triangle ABC =  BC = (4 + x)

Using the Pythagoras Theorem, we get,

\(& {\left[(A C)^2+(A B)^2\right]=(B C)^2} \\\)

\(& \text { or, }(B C)^2=\left[(A C)^2+(A B)^2\right] \\\)

substitute the values in the above equation, we get

\(& \text { or, }(4+x)^2=\left[\left(9+x^2\right)+(5)^2\right] \\\)

simplifying the equation, we get

\(& \text { or, }\left[4^2+(2 \times 4 \times x)+x^2\right]=\left[9+x^2+25\right] \\\)

\(& \text { or, }\left[16+8 x+x^2\right]=\left[(9+25)+x^2\right] \\\)

\(& \text { or, }\left[16+8 x+x^2\right]=\left[34+x^2\right] \\\)

\(& \text { or, }\left[16+8 x+x^2\right]-\left[34+x^2\right]=0 \\\)

\(& \text { or, },(16-34)+8 x+\left(x^2-x^2\right)=0 \\\)

8x - 18 = 0

8x = 18

\(& \text { or, } x=\frac{18}{8} \\\)

\(& \text { or, } x=\frac{9 \times 2}{4 \times 2} \\\)

\(& \text { or, } x=\frac{9}{4} \\\)

Therefore, the value of x be 2.25.

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By the concept of polynomial, first second and third option are correct.\

What is polynomial?

At first it is important to know about algebraic expression

Algebraic expression consist of variables and numbers connected with addition, subtraction, multiplication and division.

An algebraic expression of the form \(a_0+a_1x+a_2x^2 + ....+a_nx^n\) is called a polynomial of degree n

For the First Option

5 - 2a is in the form of \(b_0 + a_1a\)

So the first option is a polynomial

For the second option

\(4 - 8^2 -16\\4 -64 -16\\-76\)

which is a constant

And all constants are polynomial

So the second option is a polynomial

For the third option

\(5x^3 +4x^13x +1\\5x^3 + 12x^2 +1\)

which is of the form \(a_0+a_1x + a_2x^2 + a_3x^3, a_1 = 0\)

So the third option is a polynomial

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Answer:

Ashley read 27 books and her brother read 6 books

Step-by-step explanation:

Let the number of books Ashley read be x

Let the number of books her brother read be y;

If Ashley and her brother combined read a total of 33 books over the summer., then;

x + y = 33...... 1

If Ashley read three more than four time as many books as her brother, then;

x = 4y + 3 .... 2

Substitute equation 2 into 1:

From 1:

x + y = 33

4y+3+y = 33

5y + 3 = 33

5y = 33-3

5y = 30

y = 30/5

y =  6

Get x;

Since x+y = 33

x + 6 = 33

x = 33-6

x = 27

Hence Ashley read 27 books and her brother read 6 books