There are 11 sixth graders, 10 seventh graders, and 8 eighth graders in a gym class. The gym teacher randomly selects one student to collect balls. In how many ways can choosing not a seventh grader occur?

Answer:

Lola needs 3 seed packets to have the total of 36 plants in her backyard :)

Step-by-step explanation:

36 (total needed) - 21 (total had) = 15 (left needed)

15 (needed seeds) /5 (seeds in a packet) = 3

The probability that the two selected chips are of different colors is 15/32

From the question, we have the following parameters that can be used in our computation:

Blue = 5

Yellow = 3

This means that

Total = 5 + 3

Total = 8

The probability of different color is then calculated as

P(Different) = Yellow and Blue or Blue and Yellow

So, we have

P = 3/8 * 5/8 * 2

Evaluate

P = 30/64

Simplify

P = 15/32

Hence, the probability is 15/32

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Answer:

45.

Step-by-step explanation:

To solve this equation, we must use PEMDAS...

The operations listed first must be solved first before we can continue.

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Using this, we find that we must complete the multiplication and division before we add or subtract.

20 / 2 - 10 + 3 * 15

= (20 / 2) - 10 + (3 * 15)

= 10 - 10 + 45

= 0 + 45

= 45

Hope this helps!

Answer:

I think its b

Step-by-step explanation:

I think its b

Answer:

I think so yeah. not sure though

Answer:

I think I kinda get this question but can you be a little more...Specific?

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Hope this is helpful

Answer:

3/20 or 0.15 as a decimal.

The uncertainty in the difference between the two experimental values (8.1 ± 0.5) (7.9 ± 0.4),  is :

± 0.64.

Uncertainty represents the range of possible values that a measured quantity could have due to limitations in the measurement process.

When calculating the uncertainty of the difference, we need to add the individual uncertainties in quadrature (i.e., in square), not by simple addition.

So, for the given experimental values of (8.1 ± 0.5) and (7.9 ± 0.4), the difference between them is:

8.1 - 7.9 = 0.2

To find the uncertainty in the difference, we need to calculate the combined uncertainty:

√((0.5)^2 + (0.4)^2) = 0.64

Therefore, the uncertainty in the difference between the two experimental values is ± 0.64.

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The actual weight is 0.0042 pounds lighter than the labeled weight.

The actual weight of the chocolates is 0.3798 pounds, while the label on the bag states it should weigh 0.384 pounds. To determine how much lighter the actual weight is, we can calculate the difference between the two weights.

Subtracting the actual weight from the labeled weight, we get:

0.384 pounds - 0.3798 pounds = 0.0042 pounds.

Therefore, the actual weight is 0.0042 pounds lighter than the labeled weight.

It's important to note that this difference may seem small, but it can be significant depending on the context. Accuracy in labeling is crucial for various reasons, such as complying with regulations, providing precise information to consumers, and ensuring fair trade practices. Even minor discrepancies can impact trust and customer satisfaction.

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Answer:

A = 4 cm^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 b*h

The base is 4 and the height is 2

A = 1/2 ( 4*2)

A = 1/2*8

A = 4 cm^2

Answer:

4

Step-by-step explanation:

A = BH/2

or Area = Base multiplied by Hieght divided by 2.

(b)4 x (h)2 = 8

8/2 = 4

Answer:

this i think

Step-by-step explanation:

The equation of direct variation for this scenario is: y = 7x

In direct variation, the relationship between two variables can be expressed as y = kx, where k is a constant.

Therefore, the equation of direct variation for this scenario is:

y = 7x

This equation represents that the number of campers (y) is directly proportional to the number of counselors (x), with a constant ratio of 7.

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The son is 10 years old now.

Let the age of the son be x years old.

Given :

Father's age will be 5x years.

In 10 years the sum of son and father's age is 80 years.

Son's age after 10 years = x+10

Father's age after 10 years= 5x+10

This can be expressed in an equation,

\(x + 10 + 5x + 10 = 80\)

\(6x + 20 = 80\)

\(6x = 80 - 20 = 60\)

\(6x = 60\)

\(x = 60/6 = 10\)

Therefore the present age of the son is 10 years and the present age of father is 5 x 10 = 50 years.

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Step-by-step explanation:

father = 5X

son =X

age in ten years

(X+10)+(5X+10)=80

5X+X+10+10=80

6X+20=80

6X=80-20

6X=60

X=10

(10+10)+(5*10+10)

20+50+10 =80

currently, the son is 10 years

while the father is 5*10=50 years

The assertion that which shows that P(k + 1) is true provided Pk in the Inductive step is true. Moreover, P(1) is also true. Hence, by induction principle, we can say that P(n) is true for all positive integer n.

What is Integer?

A zero, a positive natural number, or a negative integer with a minus sign is an integer. The negative numbers are the additive inverses of their positive counterparts.

Given that P(n) be the assertion

∑j² = n (n+1)(2n+1)/6

(a) For n = 3, we get

∑j² = 1² + 2²+3² =14

= 3(3+1)(6+1)/6

=14

Hence, P(3) is true.

(b) Expression for P(k) may take the form

∑j² = k (k+1)(2k+1)/6

(c) Expression for P(k + 1) may take the form

∑j² = (k+1) (k+2)(2k+3)/6

(d)Base case:

In base case, we must prove that P(1) is true.

(e) To prove P(n) will be true for every positive integer n, we need to prove that P(k + 1) is true in the inductive step, where k is a positive integer.

(f) In the Inductive step, the Inductive hypothesis is that Pk is true for positive integer k.

(g)Base case:

a) For n=1, we get

RHS= 1(1+1)(2+1)/6

=1

Hence, P(1) is true.

Inductive hypothesis:

Assume P(k) is true:

∑j² = k (k+1)(2k+1)/6

Inductive step:

Now,

∑j² = k (k+1)(2k+1)/6 +(K+1)²

which shows that P(k + 1) is true provided P(k) in the Inductive step is true. Moreover, P(1) is also true. Hence, by induction principle, we can say that P(n) is true for all positive integer n.

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Answer:

Show image

Step-by-step explanation:

When reflecting on x-axis, the x-values stay the same and y-values change their signs.

When reflecting on y-axis, the x-values change signs and y-values stay the same.

Answer:

A B and C is there

Step-by-step explanation:

Id appreciate if youd give brainliest :)

Answer:

60

Step-by-step explanation:

Hope this helped!

Answer:

60

Step-by-step explanation:

Answer:

b Superscript positive

Step-by-step explanation:

Negative exponents in the denominators can be evaluated by moving the function from the denominator to the numerator and changing the power from negative to the positive.

We have

1/b⁻² = b²

Moving the function with a power from denominator to numerator or from numerator to denominator changes the sign of the power. It is not equal to zero.

This is the property of exponents.

Answer:

Slope-intercept form of equation of line is, y = mx + c

Equation of line L is,  y = 5x - 5

From given figure, it is observed that line L is passing through point (0, -5) and (1, 0).

First we have to find slope (m) of line.

So, equation of line becomes,

Since, line passing through (1, 0). Therefore, substituting point (1, 0) in above equation of line.

We get,     c = - 5

Thus, equation of line is,  

Step-by-step explanation:

Slope-intercept form of equation of line is, y = mx + c

Equation of line L is,  y = 5x - 5

From given figure, it is observed that line L is passing through point (0, -5) and (1, 0).

First we have to find slope (m) of line.

So, equation of line becomes,

Since, line passing through (1, 0). Therefore, substituting point (1, 0) in above equation of line.

We get,     c = - 5

Thus, equation of line is,  

Answer:

y = \(\frac{5}{2}\) x + 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 4, 0) and (x₂, y₂ ) = (0, 10) ← 2 points on the line

m = \(\frac{10-0}{0-(-4)}\) = \(\frac{10}{0+4}\) = \(\frac{10}{4}\) = \(\frac{5}{2}\)

the line crosses the y- axis at (0, 10 ) ⇒ c = 10

y = \(\frac{5}{2}\) x + 10 ← equation of line

Answer:

Step-by-step explanation:

The probability of occurring event A is 23% or 0.23.

To find the probability of event A:

Divide the number of events in A to the total number of events.

Number of events in A = 12

Total number of events = 12+20+20

=52

P(A)=Number of events in A/Total number of events

\(=\frac{12}{52}\)

Divide both sides by 12:

\(=\frac{3}{13}\)

\(=0.23\)

\(=23\) %

Hence, the probability of occurring event A is 23% or 0.23.

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Answer: x= -12.5

Step-by-step explanation:

Start with distributing-5(x+4) or you get

x-5x-20=30

Add x and -5x to get -4x

Thank you add 20 to each side and get

-4x = 50

Divide by -4 on each side to get x=-12.5

Answer:

x=-25/2 is the answer.

Step-by-step explanation:

Below are the steps for solving the equation:

Step 1: Simplify, combine like terms, and distribute:

x−5(x+4)=30

x+(−5)(x)+(−5)(4)=30

x+−5x+−20=30

(x+−5x)+(−20)=30

−4x+−20=30

−4x−20=30

Add 20 to each side:

−4x−20+20=30+20

−4x=50

Divide each side by -4:

-4x/-4=50/-4

x=-25/2, which is -12.5 as a decimal.

So, your answer is x=-25/2 as a fraction, which is also -12.5 as a decimal.

the answer is 30 because 6 times 5 equals 30 .

Answerjej:

Step-by-step explanation:

According to the evidence from graph a and graph b, graph a indicates that the model for the data was a good fit because it is a random.

Hence, the correct option is B.

Based on graph a, the residual plot shows a random scattering of points around the horizontal line at y=0. This indicates that the residuals (the differences between the observed and predicted values) are distributed randomly and do not show any clear pattern. This suggests that the data points are evenly distributed around the regression line, indicating a good fit for a linear regression model.

On the other hand, graph b shows a residual plot with a clear pattern or trend. The residuals are not randomly scattered, but instead show a curved pattern or a fan-like shape. This indicates that the model used to fit the data may not be appropriate, as it is not capturing the underlying relationship between the variables accurately.

Hence, the correct option is B.

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-- The given question is incomplete, the complete question is

"The residual plots from two different sets of bivariate data are graphed below. Explain, using evidence from graph a and graph b which graph indicates that the model for the data was a good fit and what is the reason?

A. Graph A because it is symmetrical

B. Graph A because it is random

C. Graph B because there is a pattern

D. Graph B because it is symmetrical" --

We have here four linear functions, and we have to compare the slopes of them as well as their y-intercept. For this, it is important to remember the general equation for the line in the slope-intercept form:

Where

• m is the slope of the line

• b is the y-intercept of the line (0, b)

The y-intercept is the point where the line passes through the y-axis, and at this point, we have that x = 0.

We have in this case that the function passes through the points:

• (0, 5), (1, 1)

We can find the equation of this line using the two-point form of the line equation:

Using the points above, we can label them as follows:

• (0, 5) ---> x1 = 0, y1 = 5

• (1, 1) ---> x2 = 1, y2 = 1

Then we have:

Therefore, the slope for this line is m = -4, and the y-intercept is (0, 5).

For Function 2 we need to do the same procedure as before. We have to select two points of the function to find its equation:

We can select the following points: (0, 1), (1, 6).

Then we can proceed as we did in the previous part:

• (0, 1) ---> x1 = 0, y1 = 1

• (1, 6) ---> x2 = 1, y2 = 6

Therefore, the slope in Function 2 is 5, m = 5, and the y-intercept is (0, 1).

We can see that Function 3 has already its line equation in slope-intercept form:

Then the slope for Function 3 is m = -1, and its y-intercept is (0, -2).

From the question, we have:

Answer:

Step-by-step explanation:

you need to plot the points the just say how the different plots look to one another.

The division of x4-3x3-5X2-7x-9 by x + 1. yields; x²-4x²-x-6 with a remainder of -3.

From the task content;

The division of the polynomial x⁴-3x³-5x²-7x-9 by (x+1) therefore yields; x²-4x²-x-6 with a remainder of -3.

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Answer:

the answer is B and C

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Line B best fits the data because some of the points fall on line B.

Hope this helps!

Answer:

0.03 or \(\frac{3}{100}\)

Step-by-step explanation:

Remember to do PEMDAS. Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. That is the order and equation is done in. So, -3/10 (if this is a fraction) gets you -0.3. Then multiply that by (-0.10) to get 0.03 or 3/100.