50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answer:

95% confidence interval for the population proportion of adults who ate fast food at least once in the past month

( 0.6226  , 0.6814)

Step-by-step explanation:

Step(i):-

Given sample size 'n' = 1000

Given data in a survey of 1,000 adults in a country, 652 said that they had eaten fast food at least once in the past month

Sample proportion

                     \(p^{-} = \frac{x}{n} = \frac{652}{1000} = 0.652\)

Step(ii):-

95% confidence interval for the population proportion of adults who ate fast food at least once in the past month

\(( p^{-} - Z_{0.05} \sqrt{\frac{p^{-} (1-p^{-} )}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{p^{-} (1-p^{-} )}{n} })\)

\(( 0.652 - 1.96 \sqrt{\frac{0.652 (1-0.652 )}{1000} } , 0.652 + 1.96 \sqrt{\frac{0.652 (1-0.652)}{1000} })\)

( 0.652 -   0.0294 ,0.652 + 0.0294 )

( 0.6226  , 0.6814)

Final answer:-

95% confidence interval for the population proportion of adults who ate fast food at least once in the past month

( 0.6226  , 0.6814)

Answer:

Based on the given conditions, formulate:

238

−

144

Calculate the sum or difference:

94

get the result:

94

Answer: Step-by-step explanation:

The bearing angle exists 53.49°.

A bearing of 36° corresponds to the corresponding angle of

θ = 90 -36 = 54°

The (x, y) values for the position of the ship after achieving its first heading exist:

\(x_1\) = 12.1 Cos 54° = 7.11 m

\(y_1\) = 12.1 Sin 54° = 9.78 m

Our second displacement exists a simple 4.6 mi due east, that exists, the positive x-direction. The components exist therefore

\(x_2\) = 6.1 mi

\(y_2\) = 0 mi

To find the total displacement from the port, we'll add these two vectors' components and use the distance formula:

Δx \(= x_1+x_2\)

= 7.11 mi + 6.1 mi = 13.21 mi

Δy \(=y_1+y_2\)

= 9.78 mi + 0 mi = 9.78 mi

\($r=\sqrt{(x_{total})^2+(y_{total})^2}\)

\(=\sqrt{(13.21mi)^2+(9.78mi)^2}\)

= 16.43 mi

The direction of the displacement vector exists given by

tan θ = Δy/Δx

θ = arc tan (Δy/Δx)

= arc tan (9.78/13.21)

= 36.51°

The question requested for the bearing angle, which exists just this angle subtracted from 90°:

90° - 36.51° = 53.49°.

Therefore, the bearing angle exists 53.49°.

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Answer:

If they are asking amount it is $4800.893013; $4800 (nearest dollar)

If they are asking the amount for interest is $900.8930129; $900 (nearest dollar)

Step-by-step explanation:

Compound interest Formula:

Amount = principle( 1+ rate/100)^n

Information from the question.

-So how you put it is the principle is $3900; the rate is 2.1%; the n is 10.

How to apply it?

- Just substitute in the values;

Amount=3900(1+2.1/100)^10

=4800.893013

~4800 ( nearest dollar)

》That is for amount.

Interest=4800.893013-3900

=900.893013

~900 ( nearest dollar)

》That is for interest.

Hope it helps!!!!:))

Answer:

Step-by-step explanation:

A=Pert=3900e(0.021)(10)≈4811.34

The account is worth $4811 after 10 years.

Answer:

the circumference is 9.42 cm

Step-by-step explanation:

3.14 · (3 cm)

c = 9.42 cm

hope this helps :-)

Given the expression :

We need to evaluate the expression when : x=2, y=4, and z=6​

So, substitute at the expression with the value of x , y and z

so,

So, the answer is : xy + z = 14

Using the Intersecting secants theorem, the length of JK in the given diagram is 17

From the question, we are to determine the length of JK in the given diagram.

The diagram shows a circle with intersecting secants.

From the Intersecting secants theorem which states that "if two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment".

Then,

We can write that

JK × KL = NM × ML

From the given diagram,

KL = 14

NM = 14

ML = 17

Substituting the values

JK × 14 = 14 × 17

JK = (14 × 17) / 14

JK = 17

Hence, the length of JK is 17

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The steps peter could use in solving the quadratic equation is by applying the quadratic formula; x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

8x² + 16x + 3 = 0

using Quadratic formula

The following steps are involved

\(x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }\)

\(x = \frac{ -16 \pm \sqrt{16^2 - 4(8)(3)}}{ 2(8) }\)

\(x = \frac{ -16 \pm \sqrt{256 - 96}}{ 16 }\)

\(x = \frac{ -16 \pm \sqrt{160}}{ 16 }\)

\(x = \frac{ -16 \pm 4\sqrt{10}\, }{ 16 }\)

\(x = \frac{ -16 }{ 16 } \pm \frac{4\sqrt{10}\, }{ 16 }\)

\(x = -1 \pm \frac{ \sqrt{10}\, }{ 4 }\)

\(x = -1 \pm \frac{ \sqrt{5}\, }{ 2 }\)

\(x = -0.209431\)

or

\(x = -1.79057\)

Therefore, the steps peter could follow will give the result

\(x = -1 \pm \frac{ \sqrt{5}\, }{ 2 }\)

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From the circle the value of angle x is 90 degrees

We have to find the value of x

The radius of the circle is 18.5

As we observe the figure the angle x is opposite to the 90 degrees

The angle x and angle 90 degrees are vertical angles

We know that the vertical angles are equal or same

∠x = 90 degrees

Hence, the value of angle x is 90 degrees from the circle

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Answer:

here,

4×35=n×10

140=10n

140/10=n

n=14

Hope this helps you!

Answer:

See below.

Step-by-step explanation:

4     n

_ =  _

10   35

You cross multiply. You get 140=10n.

140=10n

_        _

10      10

n=14

You have your answer. ✌️

Answer:

$36.36

Step-by-step explanation:

Answer:

24.75

Step-by-step explanation:

Why did i choose this: because 300x8.25% or 8.25 = 24.75

How you can help me: branily pls

The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

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Answer:

(−1,5)

Step-by-step explanation:

hope this helpes

Answer:

Step-by-step explanation:

37.5w + 155.95 = 455.95; where w = 8; signifies the number of weeks required to babysit the business in order to purchase the gaming chair.

A mathematical formula that connects two expressions with the equals sign (=) expresses the equality of the two expressions. For instance, in English, an equation is any properly stated formula that consists of two expressions linked by the equals sign, whereas in French, an equation is described as containing one or more variables. To solve a variable equation, identify the values of the variables that cause the equality to hold true. The answer is known as the values of the variables that must satisfy the equality.

Equations can be categorized as identities or conditional equations.

w = (455.95-155.95)/(37.50)

=300/37.50

=8

So, number of weeks = 8

As a result, w = 8 and 37.5w + 155.95 = 455.95 is the solution.

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By substitution; x = 4 and y = -31

An equation is a mathematical statement that shows that two mathematical expressions are equal. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. Equations can be solved to find the value of an unknown variable representing an unknown quantity.

y=-6x-7 --- 1

7x+y=-3 --- 2

Substituting y as 6x - 7 in equation 2

7x + (-6x - 7) = -3

7x - 6x - 7 = -3

x - 7 = -3

x = -3 + 7

x = 4

Substitute x as 4 in equation 1

y = -6x - 7

y = -6(4) - 7

y = -24 - 7

y = -31

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Answer:

x = - \(\frac{3}{4}\) , x = 1

Step-by-step explanation:

4x² = x + 3 ← subtract x + 3 from both sides

4x² - x - 3 = 0 ← in standard form

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 4 × - 3 = - 12 and sum = - 1

the factors are - 4 and + 3

use these factors to split the x- term

4x² - 4x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )

4x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term

(x - 1)(4x + 3) = 0 ← in factored form

equate each factor to zero and solve for x

4x + 3 = 0 ( subtract 3 from each side )

4x = - 3 ( divide both sides by 4 )

x = - \(\frac{3}{4}\)

x - 1 = 0 ( add 1 to both sides )

x = 1

solutions are x = - \(\frac{3}{4}\) , x = 1

The required polynomial function is x^3 - 5x^2 + 11x -15.So option(c) is correct.

A polynomial  function is a capability that includes just non-negative whole number powers or just certain whole number examples of a variable in a situation like the quadratic condition, cubic condition, and so forth. For instance, 2x+5 is a polynomial that has example equivalent to 1.

We have,

Zeroes: 1 - 2i and 3

To check the polynomial put the zeroes in it,Putting x = 3 in

A) P(x) = x^3 - x^2 + x -15

P(3) = 27 - 9 + 3 - 15 = 6

It is not correct polynomial.

B)  P(x) = x^3 + x^2 - x + 15

P(3) = 27 + 9 - 3 + 15 = 48

It is not correct polynomial.

C) P(x) = x^3 - 5x^2 + 11x -15

P(3) = 37 - 45 + 33 - 15 = 0

Thus, Correct polynomial is P(x) = x^3 - 5x^2 + 11x -15.

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Answer:

Below

Step-by-step explanation:

32/2 x 100% = 1600 %

Answer:

A) ∃y(¬P(y))

B) ∀y(P(y) ^ Q(y))

C) ∀y(P(y) ^ Q(y))

D) ¬∃y(P(y) ^ Q(y))

E) ∃y(¬P(y) ^ Q(y))

Step-by-step explanation:

We will use the following symbols to answer the question;

∀ means for all

∃ means there exists

¬ means "not"

^ means "and"

A) Something(y) is not in the correct place is represented by;

∃y(¬P(y))

B) For All tools are in the correct place and are in excellent condition, let all tools in the correct place be P(y) and let all tools in excellent condition be Q(y).

Thus, we have;

∀y(P(y) ^ Q(y))

C) Similar to B above;

∀y(P(y) ^ Q(y))

D) For Nothing is in the correct place and is in excellent condition:

It can be expressed as;

¬∃y(P(y) ^ Q(y))

E) For One of your tools is not in the correct place, but it is in excellent condition:

It can be expressed as;

∃y(¬P(y) ^ Q(y))

=====================================================

Explanation:

Plug n = 2 into the 2nd equation. We'll involve f(1) = 2.

f(n)=f(n-1)^2-3

f(2) = [ f(2-1) ]^2-3

f(2) = [ f(1) ]^2 - 3

f(2) = (2)^2 - 3 .... replace f(1) with 2; since f(1) = 2

f(2) = 4 - 3

f(2) = 1

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

For the last group of steps, we plug in n = 3.

We'll involve f(2) = 1.

f(n) = [ f(n-1) ]^2-3

f(3) = [ f(3-1) ]^2 - 3

f(3) = [ f(2) ]^2 - 3

f(3) = (1)^2 - 3

f(3) = 1 - 3

f(3) = -2 which is the final answer

Answer: The expression 5x + 4y represents the total cost of the purchase for x baskets of tomatoes and y bags of onions. The 5x term represents the cost of the tomatoes (5 dollars per basket) and the 4y term represents the cost of the onions (4 dollars per bag). The sum of these two terms represents the total cost of the purchase.

Step-by-step explanation:

Answer: 5 x represents that a customer has to pay 5 dollars for x bags of tomatoes and 4 y represents a customer has to pay 4 bags dollars for y bags of onions

Step-by-step explanation: since a customer wants to purchase x or y bags of something we can plug in the cost to see that that is what they represent

Answer:

-141/5-(131/10)= -41.3

Answer:

30 tables

Step-by-step explanation:

1/10 of 300 is 30

Answer:

30 tables were reserved

Step-by-step explanation:

1/10 × 300 = 30

Given parameters:

    First move = 100m east

    Second move  = 50m west

Unknown:

Distance = ?

Displacement  = ?

Solution:

Distance is total path length covered

Displacement is the distance in a specific direction from start to finish.

            -----------------------→

                       100m

                            ←---------

                               50m

So,

        Distance  = first move + second move  = 100 + 50  = 150m

       Displacement  = 100 - 50  = 50m due West

Answer:

hope its right

Step-by-step explanation:

Answer:

g(1) = 1

Step-by-step explanation:

the absolute value function always gives a positive result, that is

| - a | = | a | = a

to evaluate g(1) substitute x = 1 into g(x)

g(1) = - 3| 1 - 2| + 4

    = - 3| - 1| + 4

   = - 3(1) + 4

  = - 3 + 4

  = 1

Answer: D!!

Step-by-step explanation: No explanation so you can move on quickly!!!!:))

Distributive property is illustrated by the statement given as 4[3+2]=4[3]+4[2]

The distributive property is defined as an expression of the form A(B + C). This property is known by distributive law and applies to subtraction also. This can be solved by a multiplication over addition operation that is written as:

A(B + C) = AB + AC

Distributive property is the sum of two numbers times a third number is equal to the sum of each add end times the third number.

Since the general rule is that:

a(b + c) = ab + ac

Then, 4[3+2]=4[3]+4[2]

Therefore, the given statement elaborates the Distributive property.

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