150 adults compleate a survay 80 are women

Answer:

58 (trips)

Step-by-step explanation:

Represent the number of uses by s.  Then write and solve the equation

$29.00 = ($0.50)x.  Dividing both sides by x results in 58 (trips)

The missing ordered pairs that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).

The equation given is y = 2x + 4. To compute the missing x and y values, we need to substitute the given ordered pairs into the equation and solve for the missing variable.

Let's assume we have an ordered pair (x, y) that satisfies the equation y = 2x + 4.

For example, let's say one missing value is x = 3. We can substitute this into the equation:

y = 2(3) + 4

y = 6 + 4

y = 10

So, the missing ordered pair is (3, 10).

Similarly, if another missing value is y = 8, we can substitute this into the equation and solve for x:

8 = 2x + 4

4 = 2x

x = 2

So, the missing ordered pair is (2, 8).

In summary, the missing x and y values that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).

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Answer:

Can you send me a picture or reformat this, It is unintelligible

Using percentages we know that 62% or 62 students out of 100 students prefer biology.

In mathematics, a value or ratio that can be expressed as a fraction of 100 is known as a percentage.

When determining a percentage of a number, we should first divide it by 100 before multiplying the result by 100.

Thus, the proportion refers to a component per 100.

The word percent denotes a percentage of 100. It is represented by the symbol "%."

So, according to the given situation:

34 females enjoy biology

Do boys enjoy biology?

It is 34%≤

Then,

27% favor chemistry

10% favor physics.

The calculation would be:

27 + 11 = 38

100 - 38 = 62

Therefore, using percentages we know that 62% or 62 students out of 100 students prefer biology.

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Correct question:

100 students are interviewed to see which of biology, chemistry or physics they prefer.72 of the students are girls. 34 of the girls like biology best. 11 of the boys prefer physics. 24 out of the 27 who prefer chemistry are girls. What percentage of the students prefer biology?

Answer:

45 + 12.5x < 75 + 7.5x

The inequality that could be used to determine the number of people for which Joe's catering company would be less expensive than Jimmy's catering company is x < 6/5

A relationship between two expressions or values that are not equal to each other is called 'inequality.

Let's use J(x) and J'(x) to represent the cost of catering for x number of people by Joe's and Jimmy's catering companies respectively.

J(x) = 45 + 12.5x

J'(x) = 75 + 7.5x

To find the number of people for which Joe's catering company would be less expensive than Jimmy's catering company, we need to compare the costs:

J(x) < J'(x)

Substituting the expressions for J(x) and J'(x), we get:

45 + 12.5x < 75 + 7.5x

Simplifying the inequality, we get:

5x < 6

Dividing both sides by 5, we get:

x < 6/5

Therefore, the inequality that could be used to determine the number of people for which Joe's catering company would be less expensive than Jimmy's catering company is x < 6/5

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The surface area of the figure is approximately 997.5π cm².

We have,

The figure has two shapes:

Cone and a semicircle

Now,

The surface area of a cone:

= πr (r + l)

where r is the radius of the base and l is the slant height.

Given that

r = 15 cm and l = 19 cm, we can substitute these values into the formula:

= π(15)(15 + 19) = 885π cm² (rounded to the nearest whole number)

The surface area of a semicircle:

= (πr²) / 2

Given that r = 15 cm, we can substitute this value into the formula:

= (π(15)²) / 2

= 112.5π cm² (rounded to one decimal place)

The surface area of the figure:

To find the total surface area of the figure, we add the surface area of the cone and the surface area of the semicircle:

Now,

Total surface area

= 885π + 112.5π

= 997.5π cm² (rounded to one decimal place)

Therefore,

The surface area of the figure is approximately 997.5π cm².

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Using Pascal's triangle and the difference quotient formula, we expand (x + h)^2 and simplify the expression to (2hx + h^2) / h. As h approaches 0, the term h becomes negligible, and we are left with 2x, which represents the derivative of x^2.

To use Pascal's triangle to find x^2 using the difference quotient formula, we can follow these steps:

1. Write the second row of Pascal's triangle: 1, 1.

2. Use the coefficients in the row as the binomial coefficients for (x + h)^2. In this case, we have (1x + 1h)^2.

3. Expand (x + h)^2 using the binomial theorem: x^2 + 2hx + h^2.

4. Apply the difference quotient formula: f(x + h) - f(x) / h.

5. Substitute the expanded expression into the formula: [(x + h)^2 - x^2] / h.

6. Simplify the numerator: (x^2 + 2hx + h^2 - x^2) / h.

7. Cancel out the x^2 terms in the numerator: (2hx + h^2) / h.

8. Divide both terms in the numerator by h: 2x + h.

9. As h approaches 0, the term h becomes negligible, and we are left with the derivative of x^2, which is 2x.

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Answer:

No, the survey doesn't support the researchers claim that people tend to underestimate the duration of a cold. .

Step-by-step explanation:

We are given;

Population mean; μ = 15

Sample mean; x¯ = 14

Standard deviation; s = 0.5

Sample size; n = 352

Null hypothesis; H0: μ = 15

Alternative hypothesis; Ha: μ < 15

Let's find the z-value;

z = (x¯ - μ)/(s/√n)

z = (14 - 15)/(0.5/√352)

z = -1/0.02665

z = -37.5

From online p-value from z-score calculator attached using z = -37.5; significance level of 0.05; one tailed hypothesis, we have;

p-value = 0.00001

But since we want to find out if they underestimate the duration of the cold then;

P(z > 0.00001) = 1 - 0.00001 = 0.99999

Which is approximately 1.

The p-value is greater than the significance level, therefore we fail to reject the null hypothesis and conclude that the survey doesn't support the researchers claim that people tend to underestimate the duration of a cold.

Answer:

3.5

Step-by-step explanation:

First you distribute. 24x-38=46.

Then add 38 to both sides

24x=84

Then divide both sides by 24

x=3.5

Answer:

x= 3.5

Step-by-step explanation:

The volumes of the prisms are :- 1) 11760 units³, 2) 7938 units³, 3) 9261 units³, 4) 22800 unit³, 5) 11781 units³, 6) 38936 units³, 7) 23125 units³, 8) 26208 units³ and 9) 14688 units³

A prism is a solid shape that is bound on all its sides by plane faces.

Given are prisms, we need to find their volumes :-

Volume = area of base × height

1) Base is a rectangle, area = length × width, height = 24

Volume = 24·14·35 = 11760 units³

2) Base is a rectangle, area = length × width, height = 21

Volume = 21·14·27 = 7938 units³

3) This is a cube, with side 21 units

Volume of cube = side³ = 9261 units³

4) This is a trapezoidal prism,

Volume = 1/2(b1+b2) × height × length = 1/2(36+24) × 38 × 20

= 22800 unit³

5) This is a triangular prism,

Volume = 1/2 × height × length × base

= 1/2 × 33 × 34 × 21 = 11781 units³

6) This is a cylinder,

Base is circular, volume = π·radius²·height

= 3.14·20·20·31 = 38936 units³

7) Base is a rectangle, area = length × width, height = 37

Volume = 25·37·25 = 23125 units³

8) Base is a rectangle, area = length × width, height = 28

Volume = 39·24·28 = 26208 units³

9) Base is a rectangle, area = length × width, height = 36

Volume = 36·24·17 = 14688 units³

Hence, the volumes of the prisms are :- 1) 11760 units³, 2) 7938 units³, 3) 9261 units³, 4) 22800 unit³, 5) 11781 units³, 6) 38936 units³, 7) 23125 units³, 8) 26208 units³ and 9) 14688 units³

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Answer:

About 75 (75.0002)

Step-by-step explanation:

25÷3.14=7.9618

7.9618×3=23.8854

23.8854×3.14=74.0002

Hope this helps:)

Answer:

p=16?

16+5=21?

Step-by-step explanation:

16+5=21

Answer:

24.08 miles/gallon

Step-by-step explanation:

Answer:

The 1st one

Step-by-step explanation:

My mom is a teacher lol

Answer:

\(3x - 4y + z = 1\)

Step-by-step explanation:

Given

\(Point\ 1 = (4,3,1)\)

\(Point\ 2 = (4,1,-7)\)

Perpendicular to \(8x + 7y + 4z = 18\)

Required

Determine the plane equation

The general equation of a plane is:

\(a(x-x_1) + b(y - y_1) + c(z-z_1) = 0\)

For \(n = <a,b,c>\)

\((x_1,y_1,z_1) = (4,3,1)\)

\((x_2,y_2,z_2) = (4,1,-7)\)

First, we need to determine parallel vector \(V_1\)

\(V_1 = <x_1 - x_2, y_1 - y_2, z_1 - z_2>\)

\(V_1 = <4 - 4, 3 - 1, 1 - (-7)>\)

\(V_1 = <0,2,8>\)

\(V_1\) is parallel to the required plane

From the question, the required plane is perpendicular to \(8x + 7y + 4z = 18\)

Next, we determine vector \(V_2\)

\(V_2 = <8,7,4>\)

This implies that the required plane is parallel to \(V_2\)

Hence: \(V_1\) and \(V_2\) are parallel.

So, we can calculate the cross product \(V_1 * V_2\)

\(V_1 = <0,2,8>\)

\(V_2 = <8,7,4>\)

\(n = V_1 * V_2\)

\(V_1 * V_2 =\left[\begin{array}{ccc}i&j&k\\0&2&8\\8&7&4\end{array}\right]\)

The product is always of the form + - +

So:

\(V_1 * V_2 = i\left[\begin{array}{cc}2&8\\7&4\end{array}\right]\)  \(-j\left[\begin{array}{cc}0&8\\8&4\end{array}\right]\) \(+k\left[\begin{array}{cc}0&2\\8&7\end{array}\right]\)

Calculate the product

\(V_1 * V_2 = i(2*4- 8*7) - j(0*4- 8*8) + k(0*7 - 2 * 8)\)

\(V_1 * V_2 = i(8- 56) - j(0- 64) + k(0 - 16)\)

\(V_1 * V_2 = i(-48) - j(- 64) + k(- 16)\)

\(V_1 * V_2 = -48i +64j - 16k\)

So, the resulting vector, n is:

\(n = <-48,64,-16>\)

Recall that:

\(n = <a,b,c>\)

By comparison:

\(a = -48\)   \(b = 64\)   \(c = -16\)

Substitute these values in \(a(x-x_1) + b(y - y_1) + c(z-z_1) = 0\)

\(-48(x-x_1) + 64(y - y_1) -16(z-z_1) =0\)

Recall that:\((x_1,y_1,z_1) = (4,3,1)\)

So, we have:

\(-48(x-4) + 64(y - 3) -16(z-1) =0\)

\(-48x + 192 + 64y -192 - 16z +16 = 0\)

Collect Like Terms

\(-48x + 64y - 16z = 0 - 192 + 192 - 16\)

\(-48x + 64y - 16z = -16\)

Divide through by -16

\(3x - 4y + z = 1\)

Hence, the equation of the plane is\(3x - 4y + z = 1\)

The correct representation of decimal putting is in 8.94.

Any number that we can write as a decimal number, between 1.0 and 10.0, multiplied by a power of 10, is said to be in standard form.

For example, take the number 123,000,000; an easier way of writing this number is ​​1.23 x \(10^{8}\)

Given number:

8.94 and 0.016

According to the standard form of a number the decimal should be putted after the one non- zero digit.

and, the remaining after the decimal addition with the power of 10 will be raised by the number which tells how many digits are putted after decimal (or right of the decimal).

Hence, the correctly places decimal is shown be 8.94.

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Answer:

60

Step-by-step explanation:

x = 180 - [ 57 + ( 180 - 117 ) ]

= 180 - [ 57 + 63 ]

= 180 - 120

x = 60

Answer:

(3+2)

Step-by-step explanation:

Perimeter of a square = 4L

L is the length of one side of the square

Given the expression 12 + 8 that represents the perimeter of a square, factoring out 4 from both terms;

12 + 8

= (4*3)+(4*2)

= 4(3+2)

Comparing with 4L

4L = 4(3+2)

Divide both sides by 4

4L/4 = 4(3+2)/4

L = (3+2)

Hence the expression that represents one side of the square is (3+2).

Hope this helps!!! :)

We can use the formula for resistance to motion:

R = (m(vf^2 - vi^2))/(2d)

where R is the resistance to motion, m is the mass of the ship (10 000 tonnes = 10,000,000 kg), vf is the final velocity (2 m/s), vi is the initial velocity (3 m/s), and d is the distance over which the ship slowed down (40 m).

Plugging in the values, we get:

R = (10,000,000((2^2) - (3^2)))/(2(40))

R = (10,000,000(-5))/80

R = -625,000 N

The negative sign indicates that the resistance to motion is acting in the opposite direction to the ship's motion. Therefore, the average resistance to motion of the ship when slowing down is 625,000 N.

Answer:

1/2

Step-by-step explanation:

The chance of getting a odd number is 1 in 2 chances because a die has 6 sides and there are 3 even numbers and 3 odd numbers so the ratio is 1:2

Answer:

0.

Step-by-step explanation:

The slope of the line is defined as the change of elevation of the line (\(\frac{rise}{run}\)).

In this case, there is no change in the slope as the line continues across (0 , 2), meaning that the slope of the line is 0.

If the slope of the line is 1, then the line will have (rise 1/run 1), meaning that it will have a linear slope. (See attached image).

Vertical lines have infinite slope, and so can also be called undefined as it moves neither left or right, giving it no run.

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Answer:

base = \(x^4 - 3x^3+11x-4\)

Step-by-step explanation:

An isosceles triangle has 2 sides of equal length (a) and base (b)

⇒ perimeter of an isosceles = 2a + b

Given:

\(\implies \textsf{perimeter}=2a+b\)

\(\implies 7x^4 - 3x^3-x-6=2(3x^4 - 6x-1)+b\)

\(\implies 7x^4 - 3x^3-x-6=6x^4 - 12x-2+b\)

\(\implies x^4 - 3x^3+11x-4=b\)

Therefore, base = \(x^4 - 3x^3+11x-4\)

Answer:

Perimeter=sum of sides

\(\\ \tt\longmapsto 3x^4-6x-1+3x^4-6x-1+y=7x^4-3x^3-x-6\)

\(\\ \tt\longmapsto 6x^4-12x-2+y=7x^4-3x^3-x-6\)

\(\\ \tt\longmapsto y=x^4-3x^3+11x-4\)

Answer:

7/36

Step-by-step explanation:

1/4 × 7/9 = 7/36 Hope that helps!

If the radius of the circle is 5 m and angle subtended by arc LKM is 70° then the length of the arc LNM is 25.29 m.

Given that the radius of the circle is 5 m and angle subtended by arc LKM is 70°.

From the figure given we can estimate that the length of arc LNM can be circumference of circle subtracted by length of arc LKM.

Circulference of the circle is basically the length of whole arc of the circle. It is also know as perimeter of the circle. The formula of calculating circumference of a circle is 2πr in which r is the radius.

So,

length of arc LNM=Circumference of circle-length of arc LKM.

We know that length of an arc =Θr

in which Θ is the angle in radian.

length of arc=70*π\(/180*5\)

=70π\(/36\)

Circumference of circle=2π*5

=10π

Length of arc LNM=10π-70π\(/36\)

=(360π-70π)\(/36\)

=290π\(/36\)

Put π=3.14

=290*3.14\(/36\)

=910.6\(/36\)

=25.29m

Hence the length of arc LNM is 25.29 m.

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Answer:

-1 and 1

Step-by-step explanation:

Reciprocal means "one divided by...".

1/-1 = -1 and 1/1 = 1