Mathieu grows specialty tomatoes that are much larger than typical tomatoes. The distribution of their weights is strongly skewed to the left with a mean of 232 g and a standard deviation of 12 g. Suppose we were to calculate the mean weight from a random sample of 16 of Mathieu's tomatoes. We can assume independence between tomatoes in the sample. What is the probability that the mean weight from the sample of 16 tomatoes T is within 6 g of the population mean?
A. P(226 < 5 < 238) — 0.38
B. P(226<ī <238) 0.45
C. P(226 < i <238) 0.88
D. P(226 < T <238) 0.95
E. We cannot calculate this probability because the sampling distribution is not normal.

Answer:

Option C is correct option.

Step-by-step explanation:

The option C : Yes it can, because-4.5 lies to the left of -3.5 is the correct option.

Reason:

-4.5 is less than -3.5 and it comes after -4 so it lies under the shaded region.

Option C is correct option.

The sum of the 2 smallest angles in a right angled triangle be \(90^{0}\).

"The angle sum property of a triangle states that the sum of the angles of a triangle is equal to 180º."

"A right angled triangle is a triangle with one of the angles as 90 degrees. A 90-degree angle is called a right angle, and hence the triangle with a right angle is called a right triangle."

As we know the sum of the three angles of a right angled triangle is 180 degrees.

<A + <B + <C = \(180^{0}\)

We also know the right angled triangle have a 90 degrees angle among the three angles.

So the sum of the 2 smallest angles in a right angled triangle be

<A + <B + <C = \(180^{0}\)

<A + <B  = \(180^{0}\) - <C

<A + <B = \(180^{0}-90^{0}\)

<A + <B = \(90^{0}\)

Hence, the sum of the 2 smallest angles in a right angled triangle be \(90^{0}\).

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Answer:

Where are the graph(s)?

Step-by-step explanation:

Answer: Its A on eng for the graphs.

Step-by-step explanation:

Answer:

The expression for the perimeter of the rectangle is: \(P = 4x - 18\)

Step-by-step explanation:

Perimeter of a rectangle:

A rectangle has length l and width w. It's perimeter is given by:

\(P = 2(l + w)\)

In this question:

\(l = x - 9, w = x\)

So

\(P = 2(x - 9 + x) = 2(2x - 9) = 4x - 18\)

The expression for the perimeter of the rectangle is: \(P = 4x - 18\)

Answer:

\(\boxed{\sf \ \ \ x = 2 \ \ and \ \ y = 5 \ \ \ }\)

Step-by-step explanation:

hello, we have two equation

(1) x + 4y = 22

(2) 2x + y = 9

let's multiply (1) by 2 and subtract (2)

2x + 8y - (2x + y) = 2*22 - 9 = 44 - 9 = 35

<=> 2x + 8y -2x -y = 35

<=> 7y = 35

<=> y = 35/7 = 5

we replace this value in (1) and it comes

x + 4*5 = 22

<=> x = 22 - 20 = 2

so the solution is

x = 2 and y = 5

hope this helps

Answer:

gawain sa pagkatuto bilang 2 balikan ang awiting bayan ko sa pahina 15 hanapin ang mga simbolong pangmusika sa awiting guhit ang mga nakita mong simbolong pangmusika sa iyong kwaderno

Answer:

For $1,200 at 14% for 24 months, Sally would be have to pay $57.62 per month, or $1,382.88 after 24 months. Neighbor Steve: For $800 at 32% for 16 months, Sally would have to pay $62.08 per month or $993.28 after 16 months. Even with the (much) higher interest rate, Sally would pay $389.60 less if she went with Neighbor Steve. Even better is that the monthly payments would be about the same for the given timelines. Sally would still want to weight the benefits of contracted work vs. non-contracted work.

Step-by-step explanation:

Based on the Triangle Inequality Theorem, the sets of side measurements that could form a triangle are:

13, 19, 7

25, 12, 13

18, 2, 24

The set of side measurements 3, 1, 5 could not form a triangle.

To determine which set of side measurements could form a triangle, we need to check if the sum of the lengths of the two shorter sides is greater than the length of the longest side. This is known as the Triangle Inequality Theorem.

Let's check each set of side measurements:

13, 19, 7:

The sum of the two shorter sides is 7 + 13 = 20, which is greater than the longest side (19). Therefore, this set of side measurements could form a triangle.

25, 12, 13:

The sum of the two shorter sides is 12 + 13 = 25, which is equal to the longest side (25). Therefore, this set of side measurements could form a triangle.

18, 2, 24:

The sum of the two shorter sides is 2 + 18 = 20, which is greater than the longest side (24). Therefore, this set of side measurements could form a triangle.

3, 1, 5:

The sum of the two shorter sides is 1 + 3 = 4, which is less than the longest side (5). Therefore, this set of side measurements could not form a triangle.

Based on the Triangle Inequality Theorem, the sets of side measurements that could form a triangle are:

13, 19, 7

25, 12, 13

18, 2, 24

The set of side measurements 3, 1, 5 could not form a triangle.

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Answer:

4x² - 20x + 25

Step-by-step explanation:

(2x-5)² means (2x-5)(2x-5)

Expand the brackets.

1. do 2x times 2x = 4x²

2. do 2x times -5 = -10x

3. -5 times 2x = -10x

4. -5 times -5 = 25

Altogether it is 4x² - 10x - 10x + 25

This simplifies to 4x² -20x + 25.

Answer:

y=883

Step-by-step explanation:

The total cost includes $11 per pizza and the delivery fee. A delivery of 5 pizzas costs $58.
11 (dollars per pizza) x 5 (pizzas were delivered) = 55 dollars

58 (total cost) - 55 (total cost for pizza) = 3 (fee)
11x+3=y (Equation)
input the 80 pizzas to the equation
11(80)+3=y
y= 883

Hope this helps! I took a similar question 3 years ago! =)

Answer:

7250%

Step-by-step explanation:

To express 72 1/2 as a percentage, you need to convert it to a decimal first and then multiply by 100.

72 1/2 is equivalent to 72.5 as a decimal.

To convert it to a percentage:

72.5 * 100 = 7250

Therefore, 72 1/2 is equal to 7250% when expressed as a percentage.

let me know it is helpful for you or not

No, the expression (x^3 - 1) / (x^2 - 1) does not simplify to x.

To simplify the expression, let's first factorize both the numerator and denominator.

The numerator can be factorized using the difference of cubes formula: a^3 - b^3 = (a - b)(a^2 + ab + b^2). So, we have (x^3 - 1) = (x - 1)(x^2 + x + 1).

The denominator is a difference of squares: a^2 - b^2 = (a - b)(a + b). Therefore, (x^2 - 1) = (x - 1)(x + 1).

Now, we can simplify the expression by canceling out the common factors in the numerator and denominator:

[(x - 1)(x^2 + x + 1)] / [(x - 1)(x + 1)]

The (x - 1) terms cancel out, leaving us with:

x^2 + x + 1 / (x + 1)

So, the simplified form of the expression is (x^2 + x + 1) / (x + 1), which is not equal to x.

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Answer: 6(x+7)° = 24(x-8)°

Step-by-step explanation:
We know that both angles are equal as they are alternate exterior angles.

6(x+7)=24(x-8)

6x+42=24x-192

6x -6x +42 +192 =24x -6x -192 +192

234 = 18x

18x/18 = 234/18

x = 13

And then for question B and C, you need to calculate the expression with x being equal to 13.

To make a regular polygon with 96 sides we can take a circle as a starting point and divide it into 96 equal sides.

To create a regular polygon with 96 sides, we must take into account that all its sides must be equal, so we can take a circumference as a starting point. In this case, the circumference has 360°, so we must divide this into 96 parts and the result would be the distance between the edges of the polygon.

In this case, we must make a circle with a protractor and mark every 3.75°, when we have completed this procedure in the entire circumference we will have a regular polygon with 96 sides.

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Answer:

Solving gives us the result, x = 2, y = -1

Step-by-step explanation:

The system of equations is,

y = 2x-5

y=-2x+3

equating the two equations, we get,

(since y = y)

\(2x-5 = -2x + 3\\4x -5 = 3\\4x = 3+5\\4x=8\\x=8/4\\x=2\)

and then since y = 2x-5

\(y=2(2)-5\\y=-1\)

so, x =2, y = -1

Answer:

I did the math there is no answer

Answer:

x^3+19x^2+119x+245

Step-by-step explanation:

The required value of function (f:g)(x) would be (x + 5) which is the ratio of function f(x) and g(x).

The quadratic equation is defined as a function containing the highest power of a variable is two.

Given that f(x) = x² + 12x + 35 and g(x) = x + 7

As per the question,

⇒ (f:g)(x) = (x² + 12x + 35) : (x + 7)

⇒ (f:g)(x) = (x² + 12x + 35) / (x + 7)

Solve the above quadratic equation, and we get

⇒ (f:g)(x) = (x² + 5x + 7x + 35) / (x + 7)

⇒ (f:g)(x) = x(x + 5) + 7(x + 5) / (x + 7)

⇒ (f:g)(x) = (x + 5)(x + 7) / (x + 7)

⇒ (f:g)(x) = (x + 5)

Therefore, the required value of function (f:g)(x) would be (x + 5).

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Answer:

p=36

a=3*\(\sqrt{3}\)*18

Step-by-step explanation:

p=sum of all sides

a=(3\(\sqrt{3}\)*\(s^{2}\))/2

Answer:

13%

Step-by-step explanation:

I really don’t know if it’s right

The value of angle x in the triangle is 15°

Given: the triangle ABC with equal sides of 9 units.

Since the triangle has equal sides, it will also have equal angles (i.e. it is an equilateral triangle).

Thus, <A = <B = < C =  4x°

Since the sum of angles in a triangle is 180°. We have:

<A + <B + < C = 180°

4x + 4x + 4x = 180°

12x = 180

x = 180/12

x = 15°

Therefore, the value of x is 15°

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Yes, based on the 99% confidence interval (0.297, 0.503), there is convincing evidence of a difference in the proportion of "big" bank customers who bank with more than one bank compared to the "small" customers who bank with more than one bank.

The confidence interval (0.297, 0.503) represents the range of values within which the true difference in proportions between the two customer groups is likely to fall with 99% confidence. Since the interval does not include zero (0), we can conclude that there is a statistically significant difference between the proportions.

To further explain, the confidence interval was constructed using the sample proportions and the standard error. The sample proportion for the "big" customers who bank with other banks is 160/200 = 0.8, and for the "small" customers, it is 120/300 = 0.4. The standard error takes into account the sample sizes and proportions, and it measures the uncertainty in the estimation.

Since the confidence interval does not include zero, it indicates that the true difference in proportions is unlikely to be zero. In other words, there is strong evidence that the proportion of "big" bank customers who bank with more than one bank is higher than the proportion of "small" customers who do the same.

Therefore, based on the provided data and the confidence interval, we can conclude that there is convincing evidence of a difference in the proportion of "big" bank customers who bank with more than one bank compared to the "small" customers who bank with more than one bank.

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Answer:

the cost for one cookie is $0.6(60 cents)

Step-by-step explanation:

9 divided by 15 = 0.6

Answer:

60 cents

Step-by-step explanation:

Cost of 15 cookies = $9

Cost of 1 cookie = 9/15

9/15=0.6

Answer:

x = 3√3;

y = 3

Step-by-step explanation:

Use trigonometry:

\( \sin(30°) = \frac{y}{6} \)

Cross-multiply to find y:

\(y = 6 \times \sin(30°) = 6 \times 0.5 = 3\)

Use the Pythagorean theorem to find x:

\( {x}^{2} = {6}^{2} - {y}^{2} \)

\( {x}^{2} = {6}^{2} - {3}^{2} = 36 - 9 = 27\)

\(x > 0\)

\(x = \sqrt{27} = \sqrt{9 \times 3} = 3 \sqrt{3} \)

Answer:

-50

Step-by-step explanation:

divide both sides by -6.2. This gets rid of the -6.2 on the right.

divide 310 by -6.2

f = -50

Answer:

8 cm

Step-by-step explanation:

Just multiply 3.2 by 2.5

3.2 x 2.5 = 8

Answer:

Sure, your answer is 8

Step-by-step explanation:

3.2 * 2.5=8

Given A \(= \{a,b,c,d\}A={a,b,c,d} and B = \{c,d,e,f,g\}B={c,d,e,f,g} .\)

\(R_1 = \{(a,c), (b,d), (c,e)\}, R_2 = \{(a,c), (a,g), (b,d), (c,e), (d,f)\}, \\ R_3 = \{(a,c), (b,d), (c,e), (d,f)\}\)

A relation is a function when every element of set A has image in B and a element of set A can-not have more than one image in set B.

So, Relation \(R_3\) is a function.

(c) Given \(f\) is a real valued function defined by \(f(x) = x^2 - 9\).

(I) Function is defined for all real values of \(x\). Hence,

Domain of \(f=R\)

(ii) Now, as \(x^2 \geq 0\) \(\implies\) \(x^2-9 \geq -9x\)

Hence, Range of f=[−9,∞)

(iii) Representation of \(f\) as a set of ordered pair = \(\{ (x,x^2-9) : x \in R\}\)

The Area of the shaded portion is: 72 square inches

The formula for the area of a triangle is given by the formula:

Area = ¹/₂ * base * height

Now, to get the area of the shaded portion, we will get the area of the larger triangle and subtract the area of the smaller one from it.

Thus:

Area of larger triangle = ¹/₂ *  17 * 13 = 110.5 square inches

Area of smaller triangle =  ¹/₂ * 11 * 7 = 38.5 square inches

Thus:

Area of shaded portion = 110.5 square inches - 38.5 square inches

Area of shaded portion = 72 square inches

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Answer: So, the simple probability of reaching in and extracting a yellow marble from the bag is 0.1 or 10%.

Step-by-step explanation: To calculate the simple probability of reaching in and extracting a yellow marble from the bag, we need to divide the number of yellow marbles by the total number of marbles in the bag.

The bag contains a total of 10 marbles, and there is only 1 yellow marble. Therefore, the probability of extracting a yellow marble can be calculated as:

Probability = Number of Yellow Marbles / Total Number of Marbles

Probability = 1 / 10

Simplifying this fraction gives us:

Probability = 0.1 or 10%

Hope this helps!

Substitue what y equals for y and solve.

\(

-4x+7(3x+15)=20 \\

-4x+27x+105=20 \\

23x=-85 \\

x=-\boxed{\frac{85}{23}}

\)

Hope this helps.