there are 120 cars in a multi storey car park given that 30% of them are blue find the number of cars which are not blue​

Answer:

(4.75, 2.25)

Step-by-step explanation:

When reflected across the x-axis, the y-coordinate becomes its opposite.

So if the pair given was after the reflection, the original will have the same x-value, and the opposite y-value.

(4.75 , -2.25) = (4.75 , 2.25)

(4.75, 2.25)

Step-by-step explanation:

When reflected across the x-axis, the y-coordinate becomes its opposite.

So if the pair given was after the reflection, the original will have the same x-value, and the opposite y-value.

(4.75 , -2.25) = (4.75 , 2.25)

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Answer:

Step-by-step explanation:

The nth term of an arithmetic sequence is expressed as:

Tn  = a + (n-1)d

a is the first term

n is the number of terms

d is the common difference

Let the sequence be 2, T1, T2, T3...Tn, 46

The common difference is expressed as d = b-a/n+1

T1 = 2 + d

Given b = 46 and a = 2

d = 46-2/n+1

d = 44/n+1

T1 = 2 + (44/n+1)

T1 = 2(n+1)+44/n+1

T1 = 2n+2+44/n+1

T1 = 2n+46/n+1

Similarly;

Tn =  2 + nd

Tn = 2 + n(44/n+1)

Tn = 2 + 44n/n+1

Tn = 2(n+1)+44n/n+1

Tn = (2n+2+44n)/n+1

Tn = 46n+2/n+1

If the ratio of the first mean to last mean is 1:7 then T1/Tn = 1/7

(2n+46/n+1)÷(46n+2/n+1) = 1/7

2n+46/n+1 * n+1/46n+2 = 1/7

2n+46/46n+2 = 1/7

Cross multiply and solve for n:

46n + 2 = 7(2n + 46)

46n + 2 = 14n + 322

46n - 14n = 322-2

32n = 320

n = 320/32

n = 10

Hence the value of n is 10

Answer:

(-2,1)

Step-by-step explanation:

up and right is adding to the current point so (-7+5,4)

down and left is subtracting to the current point so (-2,4-3)

If you combine them, you get: (-7+5,4-3)-which is (-2,1)

Answer:

k=6

Step-by-step explanation:

To find the scale factor of a triangle, all you have to do is divide the image from the post image

point A

12/2=6

24/4=6

The scale factor is 6

Answer:

Its an acute so 80 also because if you measure it it shows the same as C

Step-by-step explanation:

Sorry if its wrong tho hope that helped

Answer: 82

Step-by-step explanation:

Answer:

t = 65 - 4d

Step-by-step explanation:

Linear Modeling

The temperature in St. Louis dropped by 4 degrees every day in one week.

When d days have passed, the temperature will have dropped by 4d degrees.

We know the temperature t at the beginning of the week was 65 degrees.

Thus, when d days pass, the linear model for the temperature t is:

t = 65 - 4d

Answer:

The correct answer is:

Option C: Linear; as x increases by 40 minutes and y increases by $4 each time. The rate of change is constant, so this function is linear.

Step-by-step explanation:

Given is the table,

The input is x and output is y.

We can see from the table that the x-values are increasing 40 minutes after each input and the output is increasing by equal amount i.e. $4.

The rate of change remains the same.

Hence,

The correct answer is:

Option C: Linear; as x increases by 40 minutes and y increases by $4 each time. The rate of change is constant, so this function is linear.

Answer:

2*5

Step-by-step explanation:

when youre dividing with powers you have to subtract them so 2*5-2*4=2*1. When the power is in brackets you multiply the whole power. So 2*1 x 5 = 2*5.

Answer:

The value is   [tex]P(X < 0.50 ) = 0.43133[/tex]

Step-by-step explanation

From the question we are told that

    The population proportion is  p =  0.51

     The sample size is  n  =  75

Generally given that the sample size is large enough (i.e n > 30) the mean of this sampling distribution is mathematically represented as

            [tex]\mu_x = p = 0.5 1[/tex]

Generally the standard deviation of this sample distribution is mathematically represented as

                [tex]\sigma = \sqrt{\frac{p(1- p)}{ n} }[/tex]

=>          [tex]\sigma = \sqrt{\frac{0.51 (1- 0.51 )}{75} }[/tex]

=>          [tex]\sigma = 0.058[/tex]

Generally the probability that in a random sample of 75 voters, fewer than 50% of the sample will vote for Candidate A is mathematically represented as

          [tex]P(X < 0.50 ) = P( \frac{ X - \mu_x }{\sigma } < \frac{ 0.50 - 0.51 }{0.0578 } )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

=>       [tex]P(X < 0.50 ) = P( Z < -0.1730 )[/tex]

From the z table  the area under the normal curve to the left corresponding to   -0.1720  is

        [tex]P( Z < -0.1730 ) = 0.43133[/tex]

So

         [tex]P(X < 0.50 ) = 0.43133[/tex]

Answer:

answer is 6

Step-by-step explanation:

Answer:

The graph should help :)

Answer:

12

Step-by-step explanation:

To find perimeter, add the lengths of each side. 5 + 4 + 3 = 12

Answer:

12

Step-by-step explanation:

5+4+3

Answer:

?

Step-by-step explanation:

nvm idk sorry lol

Answer:

1/9.

Step-by-step explanation:

I just serperated the farctions. 1 x 2 = 2 so that's the numertaor. And 3 x 6 is 18 so that's the denominator. The answer then becomes 2/18. This is where you simplify. 2 divided by 2 is 1. And 18 divided by 2 is 9. So the answer is 1/9.

Answer:

a = 0

b = 8

c = 53

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

8r + 62 - 7 = 2

Step 2: Rewrite

Step 3: Identify Variables

a = 0

b = 8

c = 53

Answer:

$38.25

Step-by-step explanation:

45 × 0.15 = 6.75

45 - 6.75 = 38.25

The sale price of the item will be $38.25

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that a store is having a sale. All items for sale are discounted by 15%. the regular price of a bedspread is $45,

The discounted price will be calculated as:-

45 × 0.15 = 6.75

45 - 6.75 = $38.25

Therefore, the sale price of the item will be $38.25

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Answer:

[tex]\boxed{x_1 = 5~~or~~x_2 = -5}[/tex]

.

Step-by-step explanation:

[tex]\to y = 0[/tex]

[tex]y = x^2 - 25[/tex]

[tex]x^2 - 25 = 0[/tex]

[tex]x^2 = 25[/tex]

[tex]x = \pm \sqrt{25}[/tex]

[tex]x = \pm 5[/tex]

.

[tex]x = 5[/tex]

[tex]x = -5[/tex]

The point where the reflector meets the lens is ± 5.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, A reflector on the inside of a certain flashlight is a parabola given by the equation y = x² - 25.

Now the points where the reflector meets the lens are,

0 = x² - 25.

x² = 25.

x = ± 5.

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Answer:

Well 180 divided by 15 is 12 so that said there would be 12 floors

So

1 floor 15

2 floor  30

3 floor  45

4 floor 60

5 floor  75

6 floor 90

7 floor  105

8 floor 120

9 floor 135

10 floor  150

11 floor  165

12 floor 180

Hope that helps

Answer:

xy

2xy

4

Step-by-step explanation:

A factor is a number of term you can factor out of each part of the expression/ or divide it by.

In -24xyz - 12xy + 20xyz

All three parts have xy, so it is a factor

All three don't have 12xz, because -12xy doesn't have z variable for instance.

All three have 2xy.

All three can't factor out 3y, because you can't divide 20 by 3 nicely.

All three can't factor out 4yz, because middle term -12xy doesn't have z.

All three can't factor out 12, because you can't nicely divide 20/12.

All three can factor out 4, because -24, -12, and 20 are all divisible by 4.

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Answer:

The side of the square is 12 cm and x = 10 cm.

Step-by-step explanation:

Since it's a square, it's sides have the same length.

Hence, since one of it's sides is x + 2, the other side must be x + 2 as well.

Therefore, we can set up an equation:

[tex](x + 2)^{2} = 144 cm^{2}[/tex]

[tex](x + 2) = \sqrt{144cm^{2}}[/tex]

[tex]x + 2 = 12 cm[/tex]

[tex] x = 10 cm[/tex]

Hence, the side of the square is 12 cm and x = 10 cm.

Hope this helped!

Answer:

1 hour and 15 minutes thats how long the documentary was

Movie friday night was 2 hours and 30 minutes long.

The documentary was half as long as Friday's movie.

So it will be: [tex]\frac{2 hours .and. 30 minutes}{2} = 1 hour.and .15 minutes[/tex]

Answer:

x=-7,5

Step-by-step explanation:

Answer:

[tex]n=10[/tex]

Step-by-step explanation:

[tex]Constructing\ an\ equation\ from\ the\ information\ provided\ about\ n,\\n^3=\sqrt{1,000,000}\\Now,\\ n^3=\sqrt{1000*1000}\ [Representing\ 1\ million\ in\ such\ a\ way\ that\ it\\ equals\ to\ the\ square\ of\ a\ real\ number] \\n^3=1000\\n=\sqrt[3]{1000}[Transposing\ the\ exponent\ 3\ from\ the\ LHS\ to\ its\ root\ in\ RHS]\\n=\sqrt[3]{10*10*10}\ [Representing\ 1000\ in\ terms\ of\ a\ cube\ of\ a\ real\ number]\\n=10[/tex]

Answer:

The answer is below

Step-by-step explanation:

Given that:

Confidence interval (C) = 95%, mean (μ) = 85, standard deviation (σ) = 9, sample size (n) = 133

α = 1 - C = 1 - 0.95 = 0.05

α/2 = 0.025

The z score of α/2 (0.025) is the same as the z score of 0.475 (0.5 - 0.025) which is equal to 1.96.

The margin of error (E) is given as:

[tex]E=Z_\frac{\alpha}{2}*\frac{\sigma}{\sqrt{n} } \\\\E=1.96*\frac{9}{\sqrt{133} } \\\\E=1.53[/tex]

The confidence interval = (μ ± E) = (85 ±  1.53) = (83.47, 86.53)

The confidence interval is between 83.47 and 86.53.

Answer: SAS

Step-by-step explanation:

It is given that the two sides are congruent.

The angle between the two congruent sides is also congruent because of the vertical angle theorem.

Since a side, angle, and side are congruent, the theorem is SAS.

Answer:

[tex]\displaystyle \frac{2 \cdot sin2x-cos2x}{5e^x} + C[/tex]

Step-by-step explanation:

The integration by parts formula is: [tex]\displaystyle \int udv = uv - \int vdu[/tex]

Let's find u, du, dv, and v for [tex]\displaystyle \int e^-^x \cdot cos2x \ dx[/tex] .

Plug these values into the IBP formula:

Now let's evaluate the integral [tex]\displaystyle \int \frac{sin2x}{2} \cdot -e^-^x dx[/tex].

Let's find u, du, dv, and v for this integral:

Plug these values into the IBP formula:

Factor 1/4 out of the integral and we are left with the exact same integral from the question.

Let's substitute this back into the first IBP equation.

Simplify inside the brackets.

Distribute the negative sign into the parentheses.

Add the like term to the left side.

Make the fractions have common denominators.

Simplify this equation.

Multiply the right side by the reciprocal of 5/4.

The 4's cancel out and we are left with:

Factor [tex]e^-^x[/tex] out of the numerator.

Simplify this by using exponential properties.

The final answer is [tex]\displaystyle \int e^-^x \cdot cos2x \ dx = \frac{2 \cdot sin2x-cos2x}{5e^x} + C[/tex].

Answer:

[tex]\displaystyle\int e^{-x}\cos(2x)\, dx=\frac{2\sin(2x)-\cos(2x)}{5e^x}+C[/tex]

Step-by-step explanation:

We would like to integrate the following integral:

[tex]\displaystyle \int e^{-x}\cdot \cos(2x)\, dx[/tex]

Since this is a product of two functions, we can consider using Integration by Parts given by:

[tex]\displaystyle \int u\, dv =uv-\int v\, du[/tex]

So, let’s choose our u and dv. We can choose u base on the following guidelines: LIATE; or, logarithmic, inverse trig., algebraic, trigonometric, and exponential.

Since trigonometric comes before exponential, we will let:

[tex]u=\cos(2x)\text{ and } dv=e^{-x}\, dx[/tex]

By finding the differential of the left and integrating the right, we acquire:

[tex]du=-2\sin(2x)\text{ and } v=-e^{-x}[/tex]

So, our integral becomes:

[tex]\displaystyle \int e^{-x}\cdot \cos(2x)\, dx=(\cos(2x))(-e^{-x})-\int (-e^{-x})(-2\sin(2x))\, dx[/tex]

Simplify:

[tex]\displaystyle \int e^{-x}\cdot \cos(2x)\, dx=-e^{-x}\cos(2x)-2\int e^{-x}\sin(2x)\, dx[/tex]

Since we ended up with another integral of a product of two functions, we can apply integration by parts again. Using the above guidelines, we get that:

[tex]u=\sin(2x)\text{ and } dv=e^{-x}\, dx[/tex]

By finding the differential of the left and integrating the right, we acquire:

[tex]du=2\cos(2x)\, dx\text{ and } v=-e^{-x}[/tex]

This yields:

[tex]\displaystyle \int e^{-x}\cdot \cos(2x)\, dx=-e^{-x}\cos(2x)-2\Big[(\sin(2x))(-e^{-x})-\int (-e^{-x})(2\sin(2x))\, dx\Big][/tex]

Simplify:

[tex]\displaystyle \int e^{-x}\cdot \cos(2x)\, dx=-e^{-x}\cos(2x)-2\Big[-e^{-x}\sin(2x)+2\int e^{-x}\cos(2x)\, dx\Big][/tex]

We can distribute:

[tex]\displaystyle \int e^{-x}\cdot \cos(2x)\, dx=-e^{-x}\cos(2x)+2e^{-x}\sin(2x)-4\int e^{-x}\cos(2x)\, dx[/tex]

The integral on the right is the same as our original integral. So, we can isolate it:

[tex]\displaystyle \Big(\int e^{-x}\cos(2x)\, dx\Big)+4\Big(\int e^{-x}\cos(2x)\, dx)\Big)=-e^{-x}\cos(2x)+2e^{-x}\sin(2x)[/tex]

Combine like integrals:

[tex]\displaystyle 5 \int e^{-x}\cos(2x)\, dx=-e^{-x}\cos(2x)+2e^{-x}\sin(2x)[/tex]

We can factor out an e⁻ˣ from the right:

[tex]\displaystyle 5\int e^{-x}\cos(2x)\, dx=e^{-x}\Big(-\cos(2x)+2\sin(2x)\Big)[/tex]

Dividing both sides by 5 yields:

[tex]\displaystyle \int e^{-x}\cos(2x)\, dx=\frac{e^{-x}}{5}\Big(-\cos(2x)+2\sin(2x)\Big)[/tex]

Rewrite. We of course also need the constant of integration. Therefore, our final answer is:

[tex]\displaystyle\int e^{-x}\cos(2x)\, dx=\frac{2\sin(2x)-\cos(2x)}{5e^x}+C[/tex]

Answer:

51.2 apples, but obviously you can't do that, so i think the answer would be 51 apples

Step-by-step explanation: