Boxes Brownies
3 15
5 ?
8 40
10 50

fill in the blank.

(a) The probability that all seven plants emerged from treated seeds is: P(7 treated) = 8C7 / 16C7 = 1 / 128, (b) The probability that six or fewer emerged from treated seeds is: P(6 or fewer treated) = 8C6 + 8C5 + 8C4 + 8C3 + 8C2 + 8C1 = 17 / 64.

(c) The probability that at least one emerged from untreated seeds is:

P(at least 1 untreated) = 1 - P(all treated) - P(6 or fewer treated) = 46 / 64

(a) There are 8C7 = 1 ways to choose 7 treated seeds out of 8. There are 16C7 = 128 ways to choose 7 seeds out of 16. So, the probability that 7 of the 7 plants that sprouted were treated is 1/128.

(b) There are 8C6 = 28 ways to choose 6 treated seeds out of 8. There are 8C5 = 56 ways to choose 5 treated seeds out of 8. There are 8C4 = 70 ways to choose 4 treated seeds out of 8. There are 8C3 = 56 ways to choose 3 treated seeds out of 8.

There are 8C2 = 28 ways to choose 2 treated seeds out of 8. There are 8C1 = 8 ways to choose 1 treated seeds out of 8. So, the probability that 6 or fewer of the 7 plants that sprouted were treated is 17/64.

(c) The probability that all 7 plants that sprouted were treated is 1/128. The probability that 6 or fewer of the 7 plants that sprouted were treated is 17/64. So, the probability that at least one of the 7 plants that sprouted was untreated is 1 - (1/128 + 17/64) = 46/64.

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consider D for a second. (a + b) × would give you (2×-4) + (× + 2) = 3×-2 which is not a quadratic

The expression that produces a quadratic function is (ab)(x).

Option A is the correct answer.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

a(x) = 2x - 4 and b(x) = x + 2

A quadratic function is a function that has a degree of 2.

Now,

(ab)(x)

= a(x) b(x)

= (2x - 4) (x + 2)

= 2x² + 4x - 4x - 8

= 2x² - 8

(a/b)(x)

= a(x) / b(x)

= (2x - 4) / (x + 2)

(a - b) (x)

= a(x) - b(x)

= (2x - 4) - (x + 2)

= 2x - 4 - x - 2

= x - 6

(a + b) (x)

= a(x) + b(x)

= (2x - 4) + (x + 2)

= 2x - 4 + x + 2

= 3x - 2

Thus,

(ab)(x) = 2x² - 8 is a quadratic function.

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Range: All real numbers greater than or equal to 3. The Option C.

To find the range of the function, we need to determine the set of all possible y-values that the function takes.

Since the line crosses the y-axis at (0, 2), we know that the function's range includes the value 2. Also, since the line turns at (-1, 3), the function takes values greater than or equal to 3.

Therefore, the range of the function is all real numbers greater than or equal to 3.

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Answer:

the answer would be 65.51 hope it helps

Step-by-step explanation:

Answer:

74 is the answer bruhh

Step-by-step explanation:

180 - 106 = 74

Answer:

x=2 is incorrect

Step-by-step explanation:

Y(2)=(3/4)*x^2=(3/4)*4=3

Answer:

1) C 2) A

Step-by-step explanation:

fourmola =>

\(l \: = \: r \: \times \: \alpha \)

alfa In the radian unit

Answer:

1) The answer is C.

2) The answer is A.

3) The highlighted answer of C is correct!

(If any of the information that I have given you is incorrect I am truly sorry. It has been a couple of years since I have taken a math class.)

Answer:

Parallel

Step-by-step explanation:

Slope of line 1:  

y2 - y1 / x2 - x1

8 - 2 / 6 - 3

6/3

= 2

Slope of line 2:

y2 - y1 / x2 - x1

6 - 2 / 2 - 0

4/2

= 2

- Since the slope is the same, both the lines are parallel.

There are more than 70 number of  chemicals in cigarettes that are known or suspected to cause cancer.

Cigarettes contain a complex mixture of chemicals, many of which are known or suspected to be harmful to human health, including carcinogens (substances known to cause cancer) and other toxic compounds. According to the National Cancer Institute (NCI) and the Centers for Disease Control and Prevention (CDC), there are more than 7,000 chemicals in tobacco smoke, at least 70 of which are known to be carcinogens.

Some of the well-known carcinogens present in cigarette smoke include:

1. Benzene

2. Formaldehyde

3. Arsenic

4. Vinyl chloride

5. Polycyclic aromatic hydrocarbons (PAHs)

6. Nitrosamines, such as N-nitrosonornicotine (NNN)

7. Acrolein

8. Cadmium

9. Chromium

10. Nickel

It is important to note that the list of chemicals in cigarette smoke is extensive, and the health effects of some specific compounds may still be under investigation. Furthermore, the exact composition and concentrations of chemicals can vary depending on factors such as the brand of cigarettes and smoking conditions.

The harmful effects of smoking, including the increased risk of cancer, are well-documented. Smoking is a leading cause of preventable deaths worldwide and is associated with various types of cancer, including lung, throat, mouth, esophageal, pancreatic, bladder, kidney, and many others. Quitting smoking and avoiding exposure to secondhand smoke are crucial steps in reducing the risk of developing cancer and other smoking-related diseases.

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To calculate the value of the test statistic for the given hypothesis tests, we can use the formula for the Z-test for a proportion.

a-1. For the hypothesis test:

H0: p ≥ 0.52

HA: p < 0.52

We are given that the sample size is n = 450, and the number of successes is x = 207.

First, we calculate the sample proportion (p-hat):

p-hat = x / n = 207 / 450 ≈ 0.46

Next, we calculate the standard error (SE) for the proportion:

SE = sqrt(p-hat * (1 - p-hat) / n) = sqrt(0.46 * (1 - 0.46) / 450) ≈ 0.025

Now, we calculate the test statistic (Z):

Z = (p-hat - p0) / SE

Since the null hypothesis is p ≥ 0.52, we use p0 = 0.52 in the formula:

Z = (0.46 - 0.52) / 0.025 ≈ -2.40

Therefore, the value of the test statistic is approximately -2.40.

b-1. For the hypothesis test:

H0: p = 0.52

HA: p ≠ 0.52

Using the same sample proportion (p-hat) and standard error (SE) calculated above:

Z = (0.46 - 0.52) / 0.025 ≈ -2.40

Therefore, the value of the test statistic is approximately -2.40.

Note: In both cases, the negative value indicates that the observed sample proportion is lower than the hypothesized proportion.

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Answer: $700

Step-by-step explanation:

The store is selling at 30% off.

If a mattress is $1,000, first find out what 30% of $1,000 is:

= 1,000 * 30%

= $300

The store is selling 30% off, this means that they are reducing the price by 30%:

= 1,000 - 300

= $700

The centroidal moments of inertia can be calculated by determining the moments of inertia for each component and applying the parallel axis theorem.



To determine the centroidal moments of inertia for the given built-up steel beam, we need to calculate the individual moments of inertia for each component and then use the parallel axis theorem to find the total centroidal moments of inertia.

First, we calculate the moment of inertia for the W18x97 wide flange beam using its properties. The moment of inertia for a wide flange beam can be found in engineering handbooks or online databases.Next, we calculate the moment of inertia for the vertical plate. Since it is centered on the web of the wide flange, its centroid coincides with the centroid of the wide flange.Similarly, we calculate the moment of inertia for the horizontal plate. Since it is also centered on the web, its centroid coincides with the centroid of the wide flange.

Finally, we use the parallel axis theorem to find the total centroidal moments of inertia. The parallel axis theorem states that the moment of inertia about any axis parallel to an axis through the centroid is equal to the sum of the moment of inertia about the centroidal axis and the product of the area and the square of the distance between the two axes.In this case, the total centroidal moments of inertia will be the sum of the moment of inertiainertia of the wide flange beam, the vertical plate, and the horizontal plate.

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Answer:

a). -16

Step-by-step explanation:

In this question, you have to solve the equation for the variable "d".

Solve:

9d + 1 = 8d - 15

Subtract 8d from both sides to move all the "d" variables to one side.

d + 1 = -15

Subtract 1 from both sides to get "d" by itself.

d = -16

Your final answer would be d = -16

The coordinates of the vertices of triangle A'B'C' after a reflection over the y-axis to triangle ABC are: C. A' = (3, -3), B' = (6, -3), C' = (5, -6), D' = (0, -6).

A reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.

In Geometry, a reflection over the y-axis (y = x) is given by this transformation rule (x, y) → (x, y).

By applying a reflection over the y-axis to triangle ABC, the coordinates of the vertices of the image triangle A'B'C' include the following:

(x, y)                    →            (x, y)

Point A = (3, -3)   →  Point A' = (3, -3)

Point B = (6, -3)   →    Point B' = (6, -3)

Point C = (5, -6)   →     Point C' = (5, -6)

Point D = (0, -6)   →     Point D' = (0, -6)

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Answer:

1. area
2. multiply
3. 2
4. circumference
5. multiply
6. height
7. add

Step-by-step explanation:

The formula for surface area of a cylinder is 2πrh + 2π\(r^{2}\), which consists of the formula for curved surface area, 2πrh, and 2 bases for the top and bottom of the cylinder, which is the formula 2π\(r^{2}\).

Answer:

y=-x+3

Step-by-step explanation:

If you're satisfied with the answer, then please give me Brainliest.

The parent equation would be y=x^2 because that is the parent equation of a quadratic function. ;)

Using sine rule, the value of x in the triangle formed by five roads is 53.36 degrees.

The value of x can be found using sine rule.

Therefore,

73.2 / sin 37°  = 97.6 / sin x

cross multiply

73.2 sin x = 97.6 sin 37°

73.2 sin x  = 97.6 × 0.60181502315

73.2 sin x  = 58.7371462596

divide both sides by 73.2

sin x = 58.7371462596 / 73.2

x = sin⁻¹ 0.80242003086

x = 53.3618236772

x = 53.36°

Therefore, the value of x is 53.36°

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Answer:

Sonnet 18. One of Shakespeare's best known and most loved sonnets, this reading explains that the stability of love will immortalize a partners beauty and youth. 'Shall I compare three to a summers day? And summers lease hath all too short a date.

Step-by-step explanation:

Ashley used 8/25 of the spool for her project.

To determine the fraction of the spool that Ashley used for her project, we need to multiply the fraction of the spool she had (4/5) by the fraction she used (2/5):

(4/5) * (2/5) = 8/25

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The equation of the graphed function is given as follows:

f(x) = x³ + 2x² - 5x - 6.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

From the graph, the zeros of the function are:

Hence the function is:

f(x) = a(x + 3)(x + 1)(x - 2).

In which a is the leading coefficient.

Expanding the product, we have that:

f(x) = a(x² + 4x + 3)(x - 2)

f(x) = a(x³ + 2x² - 5x - 6).

When x = 0, y = -6, hence the leading coefficient a is obtained as follows:

-6a = -6

a = 1.

Hence the function is:

f(x) = x³ + 2x² - 5x - 6.

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The cost of the metals from the calculations performed is $ 402421.

Density can be explained as a quantity having  mass per unit volume and this can be calculated as:

Mass of the metal = ?

Density of the metal =  7.3 g/cm^3

height of the metal = 610 cm

radius of the metal = 8.7 cm

Volume of a cylinder  can be calculated by using the formular below:

\((\pi r^2h )\) And this can be used by inserting the given values which is

\(= 3.142 * (8.7)^2 * 610 cm = 145068.97cm^3\)

Then we can calculate the mass as :

Mass = (density * volume)

\(= (7.3 g/cm3 * 145068cm^3)\\\\=1059003kg\)

=Since the cost is $0.38 per kilogram, then 3657 Kg costs

;( 1059003kg * $0.38)

= $ 402421

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Answer:

the answer would be X=0.82

Therefore, the probability that a randomly purchased item will last longer than 11 years is 0.318, rounded to three decimal places.

We can use the standard normal distribution formula to solve this problem:

z = (x - mu) / sigma

where:

x = 11 (the lifespan we want to find the probability for)

mu = 9.9 (the mean lifespan)

sigma = 2.3 (the standard deviation)

Substituting these values, we get:

z = (11 - 9.9) / 2.3 = 0.478

Using a standard normal distribution table or calculator, we can find the probability that a standard normal random variable is greater than 0.478 to be approximately 0.318. Therefore, the probability that a randomly purchased item will last longer than 11 years is 0.318, rounded to three decimal places.

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The probability that the customer will pick neither the chocolate chip topping nor the walnut topping is 0.6.

Probability refers to the chance of occurrence of an event.

Let E be an event. Then, the probability of E = P(E)

=> P(E) = \(\frac{Number Of Favourable Outcomes Of Event E}{Total Number Of Outcomes}\)

Given: The probability that the customer will take both toppings = 0.4

We know that the total probability of an event occurring = 1.

Thus, the probability that the customer will take neither the chocolate chip toppings nor the walnut toppings = 1 - 0.4 = 0.6

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Answer:

The first one.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The first one is correct.

Answer:

(a+7)(a-3)

Step-by-step explanation:

Find the factors of 28 that would also add up to 3

28

1 x 28

2 x 14

7 x 4

7-4=3

(a+7)(a-3)

Probability that a coin pulled at random from the jar will not be a dime or penny is 20 or 13.

Given that,

6 quarters, 3 dimes, 4 nickels, and 10 pennies are included in the jar.

We have to find what is the probability that a coin pulled at random from the jar won't be a dime or a penny.

We know that,

6 quarters, 3 dimes, 4 nickels, and 10 pennies are included in the jar.

6+3+4+10 =23

Probability that a coin pulled at random from the jar will not be a dime is 23-3=20

Probability that a coin pulled at random from the jar will not be a penny is 23-10=13

Therefore, Probability that a coin pulled at random from the jar will not be a dime or penny is 20 or 13.

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Answer:

m = − 1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

The slope formula is y=mx + b. m is the slope and b is the y-intercept. m is the number that x is being multiplied by. In this problem, you just see -x, so m= -1.