PLSSS HELP ME!!!!!!!

Therefore, there are 21 possible selections of two individuals from a group of seven people.

In mathematics, a combination is a way of selecting a subset of objects from a larger set, where the order of selection does not matter. Combinations are also known as unordered selections or combinations without repetition. The number of combinations of k objects that can be selected from a set of n distinct objects is denoted by "n choose k" and is given by the formula: n choose k = n! / (k! (n - k)!) where n! is the factorial of n, defined as the product of all positive integers up to and including n, and k! and (n-k)! are the factorials of k and n-k, respectively. In words, this formula says that the number of combinations of k objects that can be selected from a set of n objects is equal to the number of ways to arrange k objects out of n, divided by the number of ways to arrange the remaining n-k objects.

Here,

To determine the number of possible selections of two individuals from a group of seven people, we can use the formula for combinations:

nCk = n! / (k! (n - k)!)

where n is the total number of individuals in the group, and k is the number of individuals to be selected. In this case, we want to select 2 individuals from a group of 7, so we have:

n = 7

k = 2

Substituting these values into the formula, we get:

7C2 = 7! / (2! (7 - 2)!)

= 7! / (2! 5!)

= (7 x 6 x 5!) / (2 x 1 x 5!)

= (7 x 6) / (2 x 1)

= 21

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a) The probability of drawing a card that is even and divisible by 3 is 2/15.

b) The probability of drawing a card that is even or divisible by 3 is 11/15.

(a) To find the probability that the card is even and divisible by 3, we need to determine the number of cards that satisfy both conditions and divide it by the total number of cards.

The numbers that are even and divisible by 3 within the range of 1 to 15 are 6 and 12. Therefore, there are 2 cards that meet both conditions.

Since there are 15 cards in total, the probability of drawing a card that is even and divisible by 3 is 2/15.

(b) To find the probability that the card is even or divisible by 3, we need to determine the number of cards that satisfy either condition and divide it by the total number of cards.

The numbers that are even within the range of 1 to 15 are 2, 4, 6, 8, 10, 12, and 14, which are a total of 7 cards. The numbers divisible by 3 within the same range are 3, 6, 9, 12, and 15, which are a total of 5 cards. However, we should not count 6 twice since it satisfies both conditions.

Therefore, there are 7 + 5 - 1 = 11 cards that are either even or divisible by 3.

Since there are 15 cards in total, the probability of drawing a card that is even or divisible by 3 is 11/15.

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The quotient of the expression (-45.612 ÷ −0.63) is (A) 72.40.

So, quotient of -45.612 ÷ −0.63:

(Refer to the image attached below for calculations)

Therefore, the quotient of the expression (-45.612 ÷ −0.63) is (A) 72.40.

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The correct question is given below:
M Given -45.612 + −0.63, find the quotient.

a. 72.40

b. 44.242

c. 28.7

d. -7.24​

Answer:

Rate of change = 6

Step-by-step explanation:

The equation y = 6x - 5 is in the slope-intercept form of a line.

The general equation of the slope-intercept form is y = mx + b, where

Thus, the slope is 6.

(Note that rate of change and slope are synonymous so 6 is the answer)

Answer:

C; Circle

Step-by-step explanation:

In this question, we are interested in giving a term to the locus of points which are at a certain distance from a fixed point.

The correct answer to this is a circle.

From the question, we can picture a situation which we have the point (1,2) as the center of the circle. This point serve the starting point in which all other points which are exactly 6 units away are plotted.

Thus, from this center point, we can mark off several points around the center point. By tracing the marked points from these center, we can obtain a circular path which when traced completely will give us the identity of a circle, where these points represent the line bounding the circle which is referred to the circumference of the particular circle in question.

Further more, from the definition of the radius of a circle, it is the distance from the center of a circle to the circumference. While the point (1,2) represents the center of the circle in question, the distance 6 units stand for the radius of the circle.

Answer:

circle

Step-by-step explanation:

Answer:

if $15.98----> 2kg

$x --------> 7kg

cross multiply

$x= (15.98 x 7)/2

x = $55.93

We have two right-angled triangles that share a common side, with side lengths 6 and 10. Let's label the sides of the triangles as follows:

Triangle 1:

Side adjacent to the right angle: 6 (let's call it 'a')

Side opposite to the right angle: x (let's call it 'b')

Triangle 2:

Side adjacent to the right angle: x (let's call it 'c')

Side opposite to the right angle: 10 (let's call it 'd')

Using the Pythagorean theorem, we can write the following equations for each triangle:

Triangle 1:\(a^2 + b^2 = 6^2\)

Triangle 2: \(c^2 + d^2 = 10^2\)

Since the triangles share a common side, we know that b = c. Therefore, we can rewrite the equations as:

\(a^2 + b^2 = 6^2\\b^2 + d^2 = 10^2\)

Substituting b = c, we get:

\(a^2 + c^2 = 6^2\\c^2 + d^2 = 10^2\)

Now, let's add these two equations together:

\(a^2 + c^2 + c^2 + d^2 = 6^2 + 10^2\\a^2 + 2c^2 + d^2 = 36 + 100\\a^2 + 2c^2 + d^2 = 136\)

Since a^2 + 2c^2 + d^2 is equal to 136, we can conclude that x (b or c) is between 11 and 12

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The graph of the inequality y ≤ (x + 2)² is the graph (a)

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

(y\le(x+2)^2\)

Express properly

So, we have

y ≤ (x + 2)²

The above expression is a quadratic inequality with a less or equal to sign

This means that

The graph opens upward and the bottom part is shaded

Using the above as a guide, we have the following:

The graph of the inequality is the first graph

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The probability that Kareem will attend either State or Northern is 0.88, which is 88% as a percentage. Rounded to two decimal places, the answer is 0.88.

The probability that Kareem will attend either State or Northern is the sum of the individual probabilities of attending each college.

Probability is a measure of the likelihood or chance of an event occurring. It is usually expressed as a number between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that an event is certain.

The probability of an event A is calculated as the number of outcomes that result in A divided by the total number of possible outcomes. This is known as the classical definition of probability.

P(State or Northern) = P(State) + P(Northern) = 0.55 + 0.33 = 0.88

So the probability that Kareem will attend either State or Northern is 0.88, which is 88% as a percentage. Rounded to two decimal places, the answer is 0.88.

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Answer:

You can use the distance formula to find the slope. The distance formula is Y2-Y1/X2-X1. So, -16-(-8)/-8-(-10)=-8/2=-4. The slope of the line is -4.

:)

Answer:

3. 62

5.  640

Step-by-step explanation:

3. 6×(3)^2+8

   6×9+8

   54+8

   62

5. 320÷((2)^3/2)×8

    320÷(8/2)×8

    320÷4×8

     80×8

    640

The ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

Given the scale factor of two similar polygons, we need to find the ratio of their perimeters and the ratios of their areas,

To find the ratio of the perimeters of two similar polygons, we can simply write the scale factor as it is because the ratio of the perimeter is equal to the ration of the corresponding lengths.

1) So, perimeter = 3:1

The ratio of areas between two similar polygons is equal to the square of the scale factor.

Since the scale factor is 3:1, the ratio of their areas is:

(Ratio of areas) = (Scale factor)² = 9/1 = 9:1

Similarly,

2) Perimeter = 7:4

Area = 49/16

Hence the ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

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Answer: $1.09

Step-by-step explanation:

Answer:

ofco 1+1=2

Step-by-step explanation:

abc that's why

Answer:

=7

Step-by-step explanation:

Answer:

=

7

Step-by-step explanation:

The expression when evaluated is 10f + 3

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

10f + 6 + 5-8​

Collect the like terms

So, we have the following representation

10f + 6 + 5-8​ = 10f + 6 + 5-8​

Evaluate the like terms in the expression

So, we have the following representation

10f + 6 + 5-8​ = 10f + 3

Hence, teh expression is  10f + 3

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The area under the standard normal distribution curve to the right of z = 2.12 is 0.0170.

In this question:

Area right to the right of the z = 2.12

Using a TI-83 Plus/TI-84 Plus calculator,

P(Z> 2.12)

= P(Z<-2.12)

= 0.0170

Therefore the area under the standard normal distribution curve to the right of z = 2.12 is 0.0170.

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Answer:

31.25miles per gallon

Step-by-step explanation:

Distance traveled  = 100miles

Quantity of gasoline used  = 3.2gallons

Unknown:

Rates of distance traveled to fuel used = ?

Solution:

 The rates of distance traveled to fuel used is given as;

   Rates  = \(\frac{distance traveled}{fuel used }\)

Input the parameters and solve;

   Rates  = \(\frac{100}{3.2}\)   = 31.25miles per gallon

Step-by-step explanation:

(2+3)(2-3)

=5×(-1)

= -5

good morning

have a great day

Answer:

D)

Step-by-step explanation:

so, it simply means that all 4 events (the 4 machine parts work) are one combined event.

so, the probability that the machine works properly is the product of the 4 single probabilities :

0.97 × 0.97 × 0.99 × 0.93 = 0.86628663 ≈ 0.8663

*see attachment for the figure referred to

Answer:

4 units

Step-by-step explanation:

Given that \( tan(f) = \frac{2}{1} \), therefore, it follows that:

\( tan(f) = \frac{opp}{adjacent} = \frac{YW}{XW} = \frac{8}{XW} \),

If the ratio of YW to XW = 2:1, therefore, \( \frac{2}{1} = \frac{8}{XW} \)

Cross multiply to find XW

\( XW*2 = 8*1 \)

\( XW = \frac{8}{2} = 4 units\)

Answer:

the answer is B

Step-by-step explanation:

I took the test and got it right

The approximate area of the surface formed by revolving the polar equation over the given interval about the polar axis is 67.59 square units.

To solve the question, we can use the integration capabilities of a graphing utility to approximate to two decimal places the area of the surface formed by revolving the polar equation over the given interval about the polar axis. Polar curve is a type of curve that is made up of points that represent polar coordinates (r, θ) instead of Cartesian coordinates.

A polar curve can be represented in parametric form, but it is often more convenient to use the polar equation for a curve. According to the question, r = 7 cos(20), [0, Phi/4] is the polar equation and we need to find the approximate area of the surface formed by revolving the polar equation over the given interval about the polar axis.

To solve the problem, follow these steps: Convert the polar equation to a rectangular equation. The polar equation r = 7 cos(20) is converted to a rectangular equation using the following formulas: x = r cos θ, y = r sin θx = 7 cos (20°) cos θ, y = 7 cos (20°) sin θx = 7 cos (θ - 20°) cos 20°, y = 7 cos (θ - 20°) sin 20°

Sketch the curve in the plane. We can sketch the curve of r = 7 cos(20) by plotting the points (r, θ) and then drawing the curve through these points. Use the polar equation to set up the integral for the volume of the solid of revolution.

The volume of the solid of revolution is given by the formula: V = ∫a b πf2(x) dx where f(x) = r, a = 0, and b = Φ/4.We can find the volume of the solid of revolution using the polar equation: r = 7 cos(20) => r2 = 49 cos2(20) => x2 + y2 = 49 cos2(20)Thus, f(x) = √(49 cos2(20) - x2) = 7 cos(20°) sin(θ - 20°)

So, V = ∫a b πf2(x) dx = ∫0 Φ/4 π(7 cos(20°) sin(θ - 20°))2 dθStep 4: Use a graphing utility to evaluate the integral to two decimal places. Using a graphing utility to evaluate the integral, we get V ≈ 67.59.

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Answer:

13:9

Step by Step Explanation:

That is the answer

7 because if its 6 you won't hit 44 and its late but if you do more you actually them all complete

Step-by-step explanation:

Answer:

if its talking about just school days...so..5...you would need to complete at least 9 assignments per day. But if its a 7 day week, you need to complete at least 7 assignments per day

hope i helped :)

If you purchased a $1,000 4-year savings certificate that paid 3% compounded quarterly, you would have $1,126.84 in 4 years.

To solve this problem, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where A is the final amount, P is the principal amount, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time in years.

In this case, P = $1,000, r = 3% = 0.03, n = 4 (since interest is compounded quarterly), and t = 4. Plugging these values into the formula, we get:

A = 1000(1 + 0.03/4)^(4*4) = $1,126.84

Therefore, if you purchased a $1,000 4-year savings certificate that paid 3% compounded quarterly, you would have $1,126.84 in 4 years.

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Answer:

The answer is Giechung: equation

Step-by-step Explanation:

equation consist of a dependent variable and independent variable

3x=10+5

3x=15

3x/3=15/3

x=5

The correct option is (d) interval/ratio, nominal with 2 or more levels.

In ANOVA (Analysis of Variance), the independent variable is interval/ratio with 2 or more levels, and the dependent variable is nominal with 2 or more levels. Here, ANOVA is a statistical tool that is used to analyze the significant differences between two or more group means.

ANOVA is a statistical test that helps to compare the means of three or more samples by analyzing the variance among them. It is used when there are more than two groups to compare. It is an extension of the t-test, which is used for comparing the means of two groups.

The ANOVA test has three types:One-way ANOVA: Compares the means of one independent variable with a single factor.Two-way ANOVA: Compares the means of two independent variables with more than one factor.Multi-way ANOVA: Compares the means of three or more independent variables with more than one factor.

The ANOVA test is based on the F-test, which measures the ratio of the variation between the group means to the variation within the groups. If the calculated F-value is larger than the critical F-value, then the null hypothesis is rejected, which implies that there are significant differences between the group means.

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Answer:

Step-by-step explanation: i need a better explanation

Answer:

No solutions

Step-by-step explanation:

2 does not equal 7

I hope this helps!

The probability of an event is a measure of the likelihood that the event will occur. In this case, the event is "randomly selecting a gold coin from the box."

If the probability of selecting a gold coin, denoted as P(gold coin), is 50%, it means that if you were to randomly select an item from the box, there's a 50% chance that the item you select will be a gold coin.

In other words, if you were to repeat the process of randomly selecting an item from the box many times (under the same conditions), about half of the time you would expect to draw a gold coin. This is assuming that after each draw, the item is replaced back into the box, so the conditions remain the same for each draw.

Remember that probability is a theoretical measure, and actual results can vary, especially if the number of draws is small. But as the number of draws increases, the proportion of times you draw a gold coin should get closer and closer to 50%.