work out how many verticies on a square based pyrimid are formed

Answer:

A) gradient is 6/5

B) gradient is 1/10

C) gradient is 4/5

A solution to the given system of linear equations is (2, 6).

In order to to graph the solution to the given system of equations on a coordinate plane, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;

y = 4x - 2      ......equation 1.

y = 1/2(x) + 5  ......equation 2.

Next, we would use an online graphing calculator to plot the given system of equations as shown in the graph attached below.

Based on the graph (see attachment), we can logically deduce that the solution to the given system of equations is the point of intersection of the lines on the graph representing each of them, which lies in Quadrant I and it is given by the ordered pair (2, 6).

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The statement "Lοsses and attendance have a strοng, negative assοciatiοn" is the best descriptiοn οf the assοciatiοn shοwn in the scatterplοt.

Scatter plοts are the graphs that present the relatiοnship between twο variables in a data-set. It represents data pοints οn a twο-dimensiοnal plane οr οn a Cartesian system. The independent variable οr attribute is plοtted οn the X-axis, while the dependent variable is plοtted οn the Y-axis. These plοts are οften called scatter graphs οr scatter diagrams

A scatter plοt is alsο called a scatter chart, scattergram, οr scatter plοt, XY graph. The scatter diagram graphs numerical data pairs, with οne variable οn each axis, shοw their relatiοnship. Nοw the questiοn cοmes fοr everyοne:

Scatter plοts are used in either οf the fοllοwing situatiοns.

The value οf r fοr the scatterplοt is -0.847, which indicates a strοng negative cοrrelatiοn between the number οf lοsses and average game attendance. Therefοre, the statement "Lοsses and attendance have a strοng, negative assοciatiοn" is the best descriptiοn οf the assοciatiοn shοwn in the scatterplοt.

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Answer:

24

Step-by-step explanation:

We can start by listing some out:

8: 8, 16, 24, 32, 40...

12: 12, 24, 36, 48...

Woah! 24 is the LCM.

Answer:102.56

Step-by-step explanation:136.75 - 25% = 102.56

                                               25% of 136.75 = 34.19

Answer:

7=x

Step-by-step explanation:

.5(6x-4)=4x-9

3x-2=4x-9

subtract 3x to each side

-2=x-9

add 9 to each side

7=x

Step-by-step explanation:

f(x) = (x+7)(x-3)

= x²+4x-21 ... (option A)

Answer:

First option: f(x)=x^2+4x-21

AND

Fourth option: f(x)=5x^2+20x-105

Step-by-step explanation:

All you have to do is do the quadratic equation backwards

If the zeros are x=-7 and x=3, the equation would look like ->

(x+7)(x-3)

Now distribute it

x(x-3)+7(x-3)

x^2-3x+7x-21

x^2+4x-21

The Fourth option is also correct. Just divide the whole equation by 5 and you will get the same exact equation as the first option.  

The number of ways to buy 20 bagels with at least one bagel of each kind from a bagel store that sells 6 different types of bagels is 3060.

To calculate the number of ways to buy 20 bagels with at least one bagel of each kind from a bagel store that sells 6 different types of bagels, we can use the concept of stars and bars.

First, we need to ensure that we have at least one of each type of bagel. So, we take one bagel of each type, which leaves us with 14 bagels to buy.

Now, we can use stars and bars to distribute the remaining 14 bagels among the 6 types of bagels. We represent the 14 bagels as stars and the 5 possible locations between the types of bagels as bars.

Using this method, we need to distribute 14 stars among 5 bars, which can be done in

(14+5-1) choose (5-1) = 18 choose 4 = 3060 ways.

Therefore, the number of ways to buy 20 bagels with at least one bagel of each kind from a bagel store that sells 6 different types of bagels is 3060.

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Answer:

They are both correct. Candace must use a pair of additive inverses.

Step-by-step explanation:

Sean is correct. Zero is the "additive identity." That means when you add zero to any number, that number keeps its identity, meaning it remains the same. Adding zero to any number does not change the number.

For example:

5 + 0 = 5

-10 + 0 = -10

2.89 + 0 = 2.89

Candace is also correct. She can add two numbers to -100 and still have -100. the way to do it is that the numbers that she adds to -100 must be opposites, or additive inverses. Additive inverses, also called opposites, are two numbers whose sum is zero.

For example:

-5 and 5

-22 and 22

Each pair of numbers above is a pair of additive inverses since their sum is zero.

If Candace adds two numbers to -100, and the numbers are a pair of additive inverses, then she is adding zero to the -100, so the result is still -100.

Answer: They are both correct. Candace must use a pair of additive inverses.

so I believe it is C 0.8215

The probability is 0.1785

The study of how likely certain events are to occur is known as probability. In its simplest form, it is concerned with the fall of a game's cards or the roll of a dice. However, probability is also essential to life and science as a whole. Probability is used, for example, in weather forecasting and figuring out how much your insurance premiums will cost.

Given probability of tail by spinning a coin is 65% = 0.65

p(t) = 0.65 and p(h) = 0.35

where h= head and t= tail

coin spins 4 time

p(t) for first time = 0.65

p(t) for second time = 0.65 x 0.65 =0.4225  

p(t) for third time = 0.65 x0.65 x 0.65 = 0.274

p(t) for fourth time = 0.65 x 0.65 x0.65 x 0.65 = 0.178

Hence probability that a student who spins 4 pennies will have them all land tails is 0.178

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The function f(x) is not continuous at x = 7. To determine the x-values at which the function f(x) is not continuous, we need to analyze the function for any potential points of discontinuity.

The given function is defined as:

f(x) = 10 − 6e^(7 − x), x > 7

f(x) = 10 − 6x, x ≤ 7

To check for continuity, we need to examine the behavior of the function as x approaches 7 from both the left and the right sides.

From the right side (x > 7), the function is given by:

f(x) = 10 − 6e^(7 − x)

As x approaches 7 from the right side (x → 7+), the exponent e^(7 - x) approaches 1, resulting in the function becoming:

f(x) = 10 - 6(1) = 4

So, from the right side, the function is continuous at x = 7.

From the left side (x ≤ 7), the function is given by:

f(x) = 10 − 6x

As x approaches 7 from the left side (x → 7-), the function becomes:

f(x) = 10 - 6(7) = -32

Therefore, from the left side, the function is discontinuous at x = 7.

In summary, the function f(x) is not continuous at x = 7.

Regarding the removable discontinuities, there are none in this case since the function is simply defined differently for x ≤ 7 and x > 7. Removable discontinuities occur when a function has a hole or a point of discontinuity that can be "filled in" or "removed" by redefining the function at that specific point. However, in this case, the function is already defined distinctly for the two regions separated at x = 7, and there are no singular points where the function is not defined.

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Answer:

It is A

Step-by-step explanation:

You have 4 muffins or 4m with a 2 dollar off coupon so therefore it is 4m-2

Answer:

4m-2

Step-by-step explanation:

The cost, m, is subtracted by 2. There are 4 muffins being bought, so the term would be 4m, making the equation 4m-2.

Answer:

-243

Step-by-step explanation:

Answer:

Use sine:

Answer: Relation

Step-by-step explanation:

The graph fails the vertical line test.

The average rate at which the object falls during the first 3 seconds is given as follows:

-48.

The average rate of change of a function is given by the change in the output of the function divided by the change in the input of the function.

The function for this problem is defined as follows:

h(x) = 400 - 16x².

The numeric values are given as follows:

Thus the average rate of change is obtained as follows:

r = (256 - 400)/(3 - 0)

r = -48.

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The probability that at least 10 out of 12 flips are heads is 0.5845, or about 58.45%.

The probability of getting a head on a single flip of the biased coin is 0.6, and the probability of getting a tail is 0.4.

To find the probability that at least 10 out of 12 flips are heads, we need to add the probabilities of getting 10, 11, or 12 heads. We can calculate these probabilities using the binomial probability formula:

P(X=k) = (n choose k)\(\times\) \(p^k\) \(\times\) \((1-p)^{(n-k)\)

where X is the random variable representing the number of heads in n flips, k is the number of heads we want to calculate the probability for, p is the probability of getting a head on a single flip, and (n choose k) is the binomial coefficient, which represents the number of ways to choose k heads out of n flips.

Using this formula, we can calculate the probability of getting 10 heads in 12 flips as:

P(X=10) = (12 choose 10) \(\times 0.6^10 \time 0.4^2 = 0.232\)

The probability of getting 11 heads in 12 flips is:

P(X=11) = (12 choose 11) \(\times 0.6^{11} \times0.4^1 = 0.2835\)

The probability of getting 12 heads in 12 flips is:

P(X=12) = (12 choose 12) \(\times 0.6^{12} \times 0.4^0 = 0.069\)

Therefore, the probability of getting at least 10 heads in 12 flips is:

P(X>=10) = P(X=10) + P(X=11) + P(X=12) = 0.232 + 0.2835 + 0.069 = 0.5845

So, the probability that at least 10 out of 12 flips are heads is 0.5845, or about 58.45%.

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A dilation with a scale factor of k=1/3 with the center of dilation at the origin will perform the following transformation in any point (x,y):

We have a triangle with vertices U, V and W.

We apply the transformation to these points and get:

Answer: U'=(0,1), V'=(2,2), W'=(2,0)

The right option is Option D.

The expected value of the product of the given ordinary dice is 2.528.

To calculate the expected value of the product of two dice, we need to first find the probability of each possible outcome. There are 36 possible outcomes when rolling two dice, each with a probability of 1/36. The product of the dice can range from 1 (when both dice are 1) to 36 (when both dice are 6).

To find the expected value, we multiply each possible product by its probability and add them up.

E(product) = (1/36)*1 + (2/36)*2 + (3/36)*3 + ... + (6/36)*36

Simplifying this expression, we get:

E(product) = (1/36)*(1 + 4 + 9 + 16 + 25 + 36)
E(product) = (1/36)*91
E(product) = 2.528

Therefore, the expected value of the product of two dice is 2.528.

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Answer: 13 minutes

Step-by-step explanation:

( 0 + 2 + 10 + 8 + 20 + 12 + 30 + 7 + 40 + 1)/10 = 130/10 = 13

Hope this helps!

Answer:

1 ≤ x ≤ 9

Step-by-step explanation:

Answer:

Step-by-step explanation:

To solve for a, you isolate it on one side of the equation.

First thing you do is subtract by 15 from both sides.

\(\rightarrow \sf{15-a-15=11-15}\)

Solve.

Add or subtract the numbers from left to right.

11-15=-4

-a=-4

Then, divide by -1 from both sides.

\(\sf{\dfrac{-a}{-1}=\dfrac{-4}{-1}}}\)

Solve.

Divide the numbers from left to right.

-4/-1=4

\(\rightarrow \boxed{\sf{a=4}}\)

Therefore, the answer is d. 4.

I hope this helps, let me know if you have any questions.

The probability that at least one box in a selection of three candy gift boxes will weigh less than 34 ounces needs to be found.

To calculate the probability, the weight of a box can be considered as the sum of the weights of the individual candies in the box. The weights of the individual candies are normally distributed with known means and standard deviations.

Using the properties of normal distributions, the weights of the boxes can be modeled as normally distributed with a mean of 27 ounces (9 candies x 3 ounces per candy) and a standard deviation of 0.374 ounces (sqrt(4*(0.2^2)+5*(0.3^2)+0.1^2)). Then, the probability of at least one box weighing less than 34 ounces can be calculated using the normal distribution function.

The calculated probability is 0.0569, or approximately 5.69%. Thus, there is a 5.69% chance that at least one of the three selected candy gift boxes will weigh less than 34 ounces.

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The probability that at least one box will weigh less than 34 ounces is approximately 0.117.

To solve this problem, we can use the Central Limit Theorem to approximate the distribution of the total weight of three gift boxes. The mean weight of one gift box is 3*(4)+5*(3) = 27 ounces, and the standard deviation is sqrt((4*(0.2)^2 + 5*(0.3)^2)) = 0.69 ounces.

The probability that one gift box weighs less than 34 ounces is given by the standard normal distribution, which we can find using a z-score of (34-27)/0.69 = 10.14.

The probability that all three boxes weigh at least 34 ounces is (1-0.117)^3 = 0.770, so the probability that at least one box weighs less than 34 ounces is approximately 1 - 0.770 = 0.117.

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The postfix expression "3 8 7 7 + - 9 3 +" to an equivalent infix expression and show the evolution of the stack.

Postfix expression: 3 8 7 7 + - 9 3 +

1. Push the first two operands (3 and 8) onto the stack:

Stack: [3, 8]

2. Next, push operands 7 and 7 onto the stack:

Stack: [3, 8, 7, 7]

3. Now, encounter the first operator '+'. Pop the top two operands (7 and 7), perform the addition, and push the result (14) back onto the stack:

Stack: [3, 8, 14]

Infix: (7+7)

4. Next, encounter the operator '-'. Pop the top two operands (14 and 8), perform the subtraction, and push the result (-6) back onto the stack:

Stack: [3, -6]

Infix: (8-(7+7))

5. Push operand 9 onto the stack:

Stack: [3, -6, 9]

6. Push operand 3 onto the stack:

Stack: [3, -6, 9, 3]

7. Encounter the operator '+'. Pop the top two operands (3 and 9), perform the addition, and push the result (12) back onto the stack:

Stack: [3, -6, 12]

Infix: (9+3)

8. Finally, encounter the last operator '-'. Pop the top two operands (12 and -6), perform the subtraction, and push the result (18) back onto the stack:

Stack: [3, 18]

Infix: ((8-(7+7))-(9+3))

The equivalent infix expression is: 3 - ((8 - (7 + 7)) - (9 + 3))

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Answer: The family's weekly income is $1500

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

Work Shown:

x = weekly income (in dollars)

16% of x = amount spent on food per week

16% of x = 240

(16/100)*x = 240

0.16*x = 240

0.16*x/0.16 = 240/0.16

x = 1500

Pls Mark as brainliest

Answer:

1500

Step-by-step explanation:

16% of x = amount spent on food per week

16% of x = 240

(16/100)*x = 240

0.16*x = 240

0.16*x/0.16 = 240/0.16

x = 1500

Hope this helps :)

Answer:

The vertex is option C: (-6, -2)

Step-by-step explanation:

The equation for a parabola is y = a(x – h)² + k where h and k are the y and x coordinates of the vertex, respectively. Thus, the vertex is (-6,2)

Pls mark brainliest.

Answer:

D(16)

Step-by-step explanation:

2/3x-5=1/6x+3

Multiply on both sides by 6

4x-30=x+18

Change its sign and move the variable to the left hand side

4x-x-30=18

4x-30=x+18

4x-x=18+30

3x=18+30

Add the numbers

3x=48

Divide both sides

x=16