At a basketball​ game, a team made 54 successful shots. They were a combination of​ 1- and​ 2-point shots. The team scored 90 points in all. Write and solve a system of equations to find the number of each type of shot.

Answer:

i dont know

Step-by-step explanation:

i is spelt with i, and so on.  

The answer is (b) The margin of error will be about 2 times larger.

The margin of error in a confidence interval is affected by the sample size, so decreasing the sample size will generally increase the margin of error. Specifically, the margin of error is inversely proportional to the square root of the sample size.

That is, if we reduce the sample size by a factor of k, then the margin of error will increase by a factor of sqrt(k).

In this case, the original sample size was 1000, and the proposed sample size is 250, which is 1/4 of the original size. Therefore, the margin of error for the smaller sample will be:

sqrt(1000/250) times the original margin of error.

Simplifying this expression, we get:

sqrt(4) times the original margin of error.

So the margin of error for the smaller sample will be about 2 times the original margin of error.

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The equation of the line of best fit is ŷ = 0.06x + 2.57

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

Years Since 2000 0 1 2 3 4 5 6 7 8 9

Average Cost ($) 2.59 2.81 2.65 2.67 2.88 2.70 2.85 2.88 3.17 3.24

Next, we enter the above values in a graphing tool;

The calculation summary are as follows

The regression equation is represented as

ŷ = bx + a

Where

b = SP/SSX = 4.94/82.5 = 0.06

a = MY - bMX = 2.84 - (0.06*4.5) = 2.57

So, we have

ŷ = 0.06x + 2.57

Hence, the equation of the line of best fit is ŷ = 0.06x + 2.57

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Answer:

2/15

Step-by-step explanation:

Step one:

given data

sample space

1 elephant,

4 bears,

3 cats, and

2 dogs.

sample size= 1+4+3+2= 10

Required:

By selecting without replacement, the probability that she chooses a bear both times

Step two:

the first event= Pr(bear)= 4/10= 2/5

the second event, the sample size is now 9 and the number of bears is now 3

Pr(bear)= 3/9= 1/3

Hence, the probability that she chooses a bear both times

= 2/5*1/3

=2/15

The solution of the given expression is x>1/2 and x<5.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets with out specifying their real values. The fundamentals of algebra taught us the way to specific an unknown value the usage of letters together with x, y, z, and so forth. those letters are called right here as variables.

An algebraic expression can be a aggregate of both variables and constants. Any cost that is positioned earlier than and expanded with the aid of a variable is a coefficient.

Given

linear equality in one variable,

and the expression ,

1<2x<5

so,

1<2x

2x>1

x>1/2

and another one x<5.

Hence, The solution of the given expression is x>1/2 and x<5.

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For Z/6Z and Z/7Z, the multiplication tables are 1-5 and 0 and 1-6 and 0 correspondingly. The elements 1, 2, 3, 4, 5 and 1, 3, 5, 6 respectively have multiplicative inverses.

The multiplication table is as follows for the group Z/6Z:

1 * 1 = 1\s2 * 1 = 2\s3 * 1 = 3\s4 * 1 = 4\s5 * 1 = 5\s0 * 1 = 0

1, 2, 3, 4, and 5 are the elements with multiplicative inverses.

The multiplication table is as follows for the group Z/7Z:

1 * 1 = 1\s2 * 1 = 2\s3 * 1 = 3\s4 * 1 = 4

5 * 1 = 5\s6 * 1 = 6\s0 * 1 = 0

1, 3, 5, and 6 are the elements with multiplicative inverses.

The group members in a group Z/NZ are the remainders after dividing the integers by N. For instance, the elements in Z/6Z are 0, 1, 2, 3, 4, and 5. The product of each element is shown in the multiplication table.by itself when multiplied. The multiplication table for Z/6Z is as follows: 0 * 1 = 0; 1 * 1 = 1, 2 * 1 = 2, 3 * 1 = 3, 4 * 1 = 4, 5 * 1 = 5. 1, 2, 3, 4, and 5 are the elements with multiplicative inverses. The multiplication table is also the same for Z/7Z: 1 * 1 = 1, 2 * 1 = 2, 3 * 1 = 3, 4 * 1 = 5, 6 * 1 = 6, 0 * 1 = 0. 1, 3, 5, and 6 are the elements with multiplicative inverses.

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Answer: Yes

600 one tenth the value of 6,000

Step-by-step explanation: 600 x 10 =  6,000

Answer:

sdgghjjkugzdbhgfbufsfh

Answer:

360 miles

Step-by-step explanation:

if 90 miles per hour and a half then

1 1/5 x 4= 6

90 x 4 = 360

Answer:

\(J' = (4,-3)\)

Step-by-step explanation:

Given

\(J = (3, 4)\)

\(K =(6,4)\)

\(L = (8, 1)\)

\(M = (1,1)\)

\(Rotation = 270CCW\)

Required

Determine the new coordinate of J

From rules of rotation,

When a point (x,y) is rotated 270 degrees CCW;

The new point becomes (y,-x)

Considering point J

\(J = (3, 4)\)

This means

\((x,y) = (3,4)\)

Where \(x = 3\) and \(y = 4\)

Using the above rotation rule of

\((x,y) -> (y,-x)\)

The coordinates of J' becomes

\(J' = (4,-3)\)

Answer:

Step-by-step explanation:

this doesnt make snese\

It takes a train going 50 mph approximately 11/2 miles to stop safely.

The distance a train takes to come to a stop can be determined by several factors, including the speed of the train, the weight of the train, the condition of the brakes and the track, and the reaction time of the engineer.

In general, a train going 50 mph will take about 1 1/2 miles or 8,000 feet to stop safely. This is because a train moving at 50 mph is traveling at about 75 feet per second, and it takes a significant distance to slow down a heavy object moving at such a high speed. It's important to note that this is an estimation, and the actual stopping distance may vary depending on the specific conditions.

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Convert it to a decimal and multiply is the best way to describe rate in simple interest formula.

The real yearly cost of funds over the course of a loan is the annual rate that is charged for borrowing (or made by investing), expressed as a single percentage number. An interest rate indicates how expensive borrowing is or how lucrative saving is. Therefore, if you are a borrower, the interest rate is the sum you pay for borrowing money and is expressed as a percentage of the overall loan amount.

Given

The r in the simple interest formula stands for rate.

Convert it to a decimal and multiply is the best way to describe rate in formula.

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Answer:

12

Step-by-step explanation:

Pythagoras theorem states that a^2+b^2=c^2

Therefore, 5^2=25 +p^2=P^2+2p+1

\(25+p^2=P^2+2p+1\\25=2p+1\\24=2p\\12=p\)

Hope this helps:) Have a good day!

The equation of the plane, the plane through the points (0, 9, 9), (9, 0, 9), and (9, 9, 0) is  mathematically given as

X+Y+Z=18

Solve' (0,9,9),(9,0,9),(9,9,0)

Parameters

\(\quad A=(0,9,9), \\ \quad B=(9,0,9)\\&c=(9,9,0)\\\)

Generally, the equation for AB is  mathematically given as

\(&A B=\langle 9,-9,0\rangle\\&\overrightarrow{B C}=\langle 0,9,-9\rangle\\&\text { equation of Plane }\\&(\bar{r}-\overline{O A}) \cdot(\overline{A B} \times \overline{B C})=0\\\\&\overline{A B} \times \overline{B C}=\left|\begin{array}{ccc}i & j & i \\9 & -9 & 0 \\0 & 9 & -9\end{array}\right|\\\)

\(&=\{(B)-0)-\hat{j}(-81-0)+k(81-0)\\\\&\overline{A B} \times \overline{B C}=81 \hat{\imath}+81 \hat{\jmath}+81 k)\)

In conclusion, the equation of the plane

81(x-0)+81(y-9)+81(z-9)=0

X+Y+Z=18

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To verify whether the languages of two regular expressions r and s are equal, we can follow these steps:

Construct the finite automata for r and s.

Convert both the finite automata to their corresponding deterministic finite automata (DFA).

Minimize the DFAs obtained in step 2.

Compare the minimized DFAs to check if they are equivalent.

If the DFAs are equivalent, then the languages of r and s are also equal.

Alternatively, we can directly compare the regular expressions r and s by using the following algorithm:

Convert both r and s to their equivalent minimal deterministic finite automata (DFA).

Construct the product DFA of the two DFAs obtained in step 1.

Check if the accepting states of the product DFA correspond to the same regular expressions in r and s.

If the accepting states correspond to the same regular expressions, then l(r) = l(s). Otherwise, l(r) ≠ l(s).

Note that the above algorithm may not be efficient for larger regular expressions, and in such cases, constructing the minimal DFAs may be a more practical approach.

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Answer:

QUESTION:

I need help on this pleaseee...

ANSWER:

2 pairs of pants = $18

4 pairs of pants = $36

6 pairs of pants = $54

1 pair of pants = $6

Step-by-step explanation:

Hope that this helps you out! :)          

If you have any questions please put them in the comment section below this answer.          

Have a great rest of your day/night!          

Please thank me on my profile if this answer has helped you.

Answer:

2 pairs are 18

4 pairs are 36

6 pairs are 48

1 pair is 6

Step-by-step explanation:

1: The horizontal distance h can be expressed as a function of the slanted distance d.

2:

To understand the relationship between the horizontal distance h and the slanted distance d, we can visualize a right triangle formed by the airplane's altitude, the slanted distance, and the horizontal distance. In this triangle, the altitude acts as the vertical leg, the slanted distance as the hypotenuse, and the horizontal distance as the adjacent leg.

Using the Pythagorean theorem, we can relate the three sides of the triangle: altitude squared plus horizontal distance squared equals slanted distance squared. Mathematically, this can be represented as h² + 3700² = d².

By rearranging the equation and solving for h, we can express the horizontal distance h as a function of the slanted distance d: h = √(d² - 3700²).

This function provides a way to calculate the horizontal distance based on the given slanted distance. By plugging in different values of d, we can obtain the corresponding horizontal distances.

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the first, (f+g)(x) is f(x) + g(x)

calculating it like:

x² + 7x + (8 -x²)

= x² + 7x + 8 -x²

= 7x + 8

you just writ it down as a calculation and calculate it. i hope that helps understanding the concept/basic idea. please let me know wich ones you need more help with.

edit1: the domain is the range of possibilities wich x we can plug into the new equation

There are 70 different types of pizzas could be ordered

A permutation is an act of arranging the objects or numbers in order.

Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter

Given,

Number of options on crust=2

Number of options on topping= 7

Number of options on size= 5

Therefore for each type of crust there are 7 different topping, for each toppings there are 5 different sizes

The total number ways of ordering pizza=2×7×5=70

Hence, there are 70 different types of pizzas could be ordered

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Answer:

Step-by-step explanation:

Answer:

x= 17

HJ= 27

JK= 153

HK= 180

Step-by-step explanation:

If HJ=x+10

JK=9x

KH=14x−58

a) Draw a sketch of the segments described above

Find attached to this answer the diagram of the sketch of the segments described above

b) Write an equation using the segment addition postulate that will help you solve the problem

HJ + JK = KH

x + 10 + 9x = 14x - 58

c) combine like terms ( x terms on one side of the equal sign and numbers in the other side of the equal sign) x + 10 x + 10 + 9x = 14x - 58

10 + 58 = 14x - x -9x

68 = 14x - 10x

68 = 4x

x = 68/4

x  = 17

d)

x= 17

HJ= x + 10

= 17 + 10

= 27

JK= 9x

= 9 × 17

= 153

HK=14x −58

HK = 14 × 17 - 58

= 238 - 58

= 180

The claim supported by the confidence interval is as follows:

The southern frogs are likely to have a greater mean number of croaks per hour than the northern frogs.

The 95% confidence interval for the difference(southern - northern) is given by:

(7.1, 8.1)

Since the entire confidence interval is above 0, the claim supported by it is as follows:

The southern frogs are likely to have a greater mean number of croaks per hour than the northern frogs.

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Answer:

-4

Step-by-step explanation:

Function 1 is a quadratic function, function 2 is a linear function with a scaling constant, and function 3 is a cubic function with a scaling constant.

To find three functions with zeros at x = -2 and x = 6, we can use the fact that a linear function in the form of f(x) = a(x - c) has a zero at x = c.

Function 1:

f(x) = (x - (-2))(x - 6) = (x + 2)(x - 6)

Function 2:

g(x) = k(x - (-2))(x - 6)

= k(x + 2)(x - 6), where k is any non-zero constant

Function 3:

h(x) = m(x - (-2))²(x - 6)

= m(x + 2)²(x - 6), where m is any non-zero constant

These three functions all have zeros at x = -2 and x = 6.

We may utilise the knowledge that a linear function of the form f(x) = a(x - c) has a zero at x = c to identify three functions with zeros at x = -2 and x = 6.

Function number one is f(x) = (x - (-2))(x - 6) = (x + 2)(x - 6)

Function 2: where k is any non-zero constant, g(x) = k(x - (-2))(x - 6) = k(x + 2)(x - 6

Function 3 is h(x) = m(x-(-2)).m is any non-zero constant and 2(x - 6) = m(x + 2)2(x - 6)

The zeros for each of these three functions are at x = -2 and x = 6.

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To find the third side of an inequality of a triangle, you must first use the Triangle Inequality Theorem.

This theorem states that for any triangle, the sum of any two sides of the triangle must be greater than the third side. This means that in order to find the length of the third side, you must subtract the sum of the two known sides from the smaller of the two sides, then the length of the third side will be equal to the difference between these two numbers. For example, if two sides of a triangle have lengths of 4 and 3, the third side must be greater than 1 (4 + 3 = 7 and 4 - 3 = 1). Therefore, the length of the third side must be greater than 1.

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Answer:

πd = 56, so d = 56/π

P = 28 + 3(56/π) = 28 + 168/π = 81.5 cm

The perimeter of the shape is approximately 81.46 cm. In other words, the required perimeter of composite shapes  is 81.46 cm.

To find the perimeter of the shape, we need to determine the lengths of the straight sides and the curved portion of the semicircle.

The semicircle has an arc length of 28 cm. Since the arc length is half the circumference of the full circle, we can find the circumference of the full circle by doubling the arc length: 28 cm × 2 = 56 cm.

The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius. Since we have the circumference, we can rearrange the formula to solve for the radius:

r = C / (2π)

r = 56 cm / (2π)

r ≈ 8.91 cm (rounded to 2 decimal places).

The straight sides of the square have the same length as the diameter of the semicircle, which is twice the radius. Therefore, the length of each side of the square is 2 × 8.91 cm = 17.82 cm.

The perimeter of the shape is the sum of the lengths of all sides, which is the sum of the two straight sides and the curved portion of the semicircle.

Perimeter = Perimeter = 3 × (length of straight side) + length of arc

= 3 × 17.82 cm + 28 cm

= 53.46 cm + 28 cm

= 81.46 cm

Therefore, the perimeter of the shape is approximately 81.46 cm. In other words, the required perimeter of composite shapes  is 81.46 cm.

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