At the "cloth for you" shop, you can buy a top for £10.00 and a Bermuda trouser for £12.00. Due to a sensational sell, there is a 20% discount on all tops. If you buy one top and two Bermuda trousers, how much money do you spend in total?

Answer:

A. 70.69 is the correct answer.

Step-by-step explanation:

Given:

Two lines:

[tex]3x - 4y + 5 = 0 \\2x + 3y -1 = 0[/tex]

To find:

Angle between the two lines = ?

Solution:

Acute Angle between two lines can be found by using the below formula:

[tex]tan \theta = |\dfrac{(m_1 - m_2)}{ (1 + m_1m_2)}|[/tex]

Where [tex]\theta[/tex] is the acute angle between two lines.

[tex]m_1, m_2[/tex] are the slopes of two lines.

Slope of a line represented by [tex]ax+by+c=0[/tex] is given as:

[tex]m = -\dfrac{a}{b }[/tex]

So,

[tex]m_1 = -\dfrac{3}{- 4} = \dfrac{3}{4}[/tex]

[tex]m_2 = -\dfrac{2}{ 3}[/tex]

Putting the values in the formula:

[tex]tan \theta = |\dfrac{(\dfrac{3}{4}- (-\dfrac{2}{3}))}{ (1 + \dfrac{3}{4}\times (-\dfrac{2}{3 }))}|\\\Rightarrow tan \theta = |\dfrac{\dfrac{3}{4}+\dfrac{2}{3}}{ (1 -\dfrac{1}{2})}|\\\Rightarrow tan \theta = |\dfrac{\dfrac{17}{12}}{ \dfrac{1}{2}}|\\\Rightarrow tan \theta = \dfrac{17}{6}\\\Rightarrow \theta = tan^{-1}(\frac{17}{6})\\\Rightarrow \theta = \bold{70.69^\circ}[/tex]

So, correct answer is A. 70.69

Answer:

D. E(y) = ?0 + ?1x1 + ?2x12 + ?3x2 + ?4x1x2 + ?5x12x2

Step-by-step explanation:

Quantitative variables are measured in terms of numbers, and figures. Independent variables are those which are reason for change in other variables. Dummy variables are numerical that represents categorical data. The range of these variables is small and they can take on only two quantitative values.

Answer:

option A is correct

4x.2x²+4x.(-2)+1.2x²+1.(-2)

hope this will help :)

Answer:

A.  4x * 2x² + 4x( -2) + 1 * 2x² + 1 * (-2)

Step-by-step explanation:

(4x + 1)(2x² – 2)

apply the FOIL method

= 4x * 2x² + 4x( -2) + 1 * 2x² + 1 * (-2)

Answer:

4

Step-by-step explanation:

i distributed the -2 to what's in the parentheses. that equal 0. I then moved the 4 to the zero so that it becomes positive. I just assumed that you were ask for Y

Step-by-step explanation:

y-4=-2(x+3)....eq(1)

y- 4= -2x-6

y=-2x-2...eq(2)

subtituting equation 2 in equation 1

(-2x-2)-4=-2x-6

-2x-6=-2x-6

=0

Answer:

Ordinary Least Square (OLS) for the multiple regression model involves selecting parameters of a straight line function that will minimize the sum of the squares of the variance in the given dataset and those forecasted by the straight-line function.

Cheers

Answer:

-2/12, -0.1, 1/9

Step-by-step explanation:

Answer:

Least to greatest: -2/12 , -0.1 , 1/9

Greatest to least: 1/9, -0.1, -2/12

Step-by-step explanation:

Change all of the numbers so that they are either fractions or decimals. Usually it is easier to change all the numbers to decimal.

Divide:

1/9 = ~0.111 (rounded)

-0.1 = -0.1

-2/12 = - ~0.167 (rounded)

Put the numbers in number order:

-~0.167 , -0.1 , ~0.111

-2/12 , -0.1 , 1/9

~

Answer:

z = 1.17

P - value = 0.0047

Step-by-step explanation:

A.

From the given information;

H0: p = 0.4 versus

Ha: p > 0.4,

Let's calculate the population proportion for the point estimate;

the population proportion [tex]\hat p[/tex] = 147/341

the population proportion  [tex]\hat p[/tex] = 0.431085

However; the test statistics can therefore be determined by using the formula:

[tex]z = \dfrac{\hat p - p_o}{\sqrt{\dfrac{p_o(1-p_o)}{n}}}[/tex]

[tex]z = \dfrac{0.431085 - 0.40}{\sqrt{\dfrac{0.40(1-0.40)}{341}}}[/tex]

[tex]z = \dfrac{0.031085}{\sqrt{\dfrac{0.40(0.60)}{341}}}[/tex]

[tex]z = \dfrac{0.031085}{\sqrt{\dfrac{0.24}{341}}}[/tex]

[tex]z = \dfrac{0.031085}{\sqrt{7.03812317 \times 10^{-4}}}[/tex]

[tex]z = \dfrac{0.031085}{0.0265294613}[/tex]

z = 1.1717

z = 1.17             to two decimal places

B.)

The null and the alternative hypothesis is given as:

H0: p = 0.33 versus

Ha: p > 0.33,

The z = 2.5990.

The objective here is to determine the p-value from the z test statistics.

P - value = P(Z > 2.5990)

P- value = 1 -  P(Z < 2.5990)

P - value = 1 - 0.9953

P - value = 0.0047

Answer:

155 + 165.3 - 65.5 - 23.25 - 26.45

At the end of the week, she had a total of $205.10.

The difference between her starting balance and the current balance is -$50.1.

                  or

The difference between her current balance and starting balance is $50.1.

Step-by-step explanation:

She had $155 dollars in the starting = +155

She withdrew $65.5 = -65.5

She withdrew another $23.25 = -23.25

She withdrew another $26.45 = -26.45

She deposited $165.3 = +165.3

The expression looks like:

155 + 165.3 - 65.5 - 23.25 - 26.45

We could simplify the expression:

155 + 165.3 - 65.5 - 23.25 - 26.45

=> 320.3 - 88.75 - 26.45

=> 320.3 -115.2

=> 205.1

At the end of the week, she had a total of $205.10.

Starting balance - Current balance:

=>  155 - 205.1

=> -$50.1

The difference between her starting balance and the current balance is -$50.1.

If it is Current Balance - Starting Balance:

=> 205.1 - 155

=> $50.1

The difference between her current balance and starting balance is $50.1.

[tex] \cos(\theta)=-\frac{2}{\sqrt{29}}[/tex] and $\theta$ lies in $2^{\text{th}}$ quadrant.

where, $x-$ coordinate is negative, and $y-$ coordinate is positive

so it can't a.

now, cosine means, side adjacent over the hypotenuse, in Cartesian plane, that will be $x-$ coordinate over the distance from origin.

Assume the triangle , with base $2$ units and hypotenuse $\sqrt{29}$ and it's in second quadrant. (so [tex] \cos(\theta)=-\frac{2}{\sqrt{29}}[/tex])

now, the leftmost point on $x-$ axis is , obviously $(-2,0)$

and by Pythagoras theorem, we can find the perpendicular side, that will be $y^2=(\sqrt{29})^2-(2)^2\implies y=5$

so the coordinates of the upper vertex is $(-2,5)$, each point lying on this "ray" should have equal ratio of respective coordinates. i.e. $\frac25=\left|\frac xy\right| $

and it should lie on second quadrant, so $x<0 \, y>0$

Option d satisfies this.

Answer:

The formula for the probability distribution is:

P(X = n) = q^(n - 1)p

= [0.2^(n - 1)]0.8

Step-by-step explanation:

This is a geometric probability distribution.

The probability of success p = 80% = 0.8

The probability of failure is q = 1 - p = 0.2

The formula is:

P(X = n) = q^(n - 1)p

= [0.2^(n - 1)]0.8

Answer:

Yes

Step-by-step explanation:

you would do 2(5x-10) + 2(8x+4)= 26x-12

Answer:

26x - 12

Step-by-step explanation:

The perimeter is the sum of all the exterior sides of a figure.

Here, we have a parallelogram, and its sides are 5x - 10, 8x + 4, 5x - 10, and 8x + 4. Adding these, we get:

(5x - 10) + (8x + 4) + (5x - 10) + (8x + 4) = 26x - 12

Thus, the answer is 26x - 12. Note that since the problem doesn't give a value for x, this cannot be simplified further.

~ an aesthetics lover

Answer:

[tex]\frac{5}{24}[/tex]

Step-by-step explanation:

If we have the division statement [tex]\frac{5}{6} \div \frac{4}{1}[/tex], we can multiply by the reciprocal and find the quotient.

[tex]\frac{5}{6} \cdot \frac{1}{4} = \frac{5}{24}[/tex].

Hope this helped!

Answer:

5/24

Step-by-step explanation:

Because the 5 is being divided by both the 6 and the 4, you just multiply these two and get 24. So it is 5 over 24.

Answer:

Brainleist!

Step-by-step explanation:

0

there is no y=mX+b

there is no x no XXXX

that means the slope must be 0 (bc theres a y)

Sorry if my explanation is bad... let me know in comments if u need more help

Answer:

Hey there!

That would be 7/8

Let me know if this helps :)

Answer:

George has eaten 5/8 of the pizza

Step-by-step explanation:

Step 1: Multiple 1/4 by 2 so it shares a common denominator with 3/8

1.4 x 2 = 2/8

Step 2: Because they share a denominator you can add the numerator together

2/8 + 3/8 = 5/8

Therefore George has eaten 5/8(Five Eigths) of the pizza

George has eaten 5 by 8 of the pizza

Here we have to Multiple 1 by 4 with 2 so it shares a common denominator with 3 by 8

[tex]1.4 \times 2 = 2\div 8[/tex]

Now  

since they share a denominator you can add the numerator together

So,  [tex]\frac{2}{8} + \frac{3}{8} = \frac{5}{8}[/tex]

Learn more: https://brainly.com/question/17429689?referrer=searchResults

Answer:

60% discount given in total, so only 40% is paid.

Step-by-step explanation:

Assuming the cube is closed, you can use the divergence theorem:

[tex]\displaystyle\iint_S\vec F\cdot\mathrm dS=\iiint_T\mathrm{div}\vec F\,\mathrm dV[/tex]

where [tex]S[/tex] is the surface of the cube and [tex]T[/tex] is the region bounded by [tex]S[/tex].

We have

[tex]\mathrm{div}\vec F=\dfrac{\partial(y+z)}{\partial x}+\dfrac{\partial(x+z)}{\partial y}+\dfrac{\partial(x+y)}{\partial z}=0[/tex]

so the flux is 0.

Answer:

7.00864

Step-by-step explanation:

The upper control limit for R -chart can be computed by using following formula

UCL=Rbar*D4.

We are given that average range R bar is

Rbar=3.76.

The value of D4 for n=8 is also given that is

D4=1.864.

Thus, the required computed upper control limit is

UCL=3.76*1.864=7.00864.

Parameterize this surface (call it S) by

[tex]\mathbf s(u,v)=u\cos v\,\mathbf i+u\sin v\,\mathbf j+u^2\,\mathbf k[/tex]

with [tex]0\le u\le2[/tex] and [tex]0\le v\le2\pi[/tex].

The normal vector to S is

[tex]\mathbf n=\dfrac{\partial\mathbf s}{\partial u}\times\dfrac{\partial\mathbf s}{\partial v}=-2u^2\cos v\,\mathbf i-2u^2\sin v\,\mathbf j+u\,\mathbf k[/tex]

Compute the curl of F :

[tex]\nabla\times\mathbf F=-2\,\mathbf i+3\,\mathbf j+5\,\mathbf k[/tex]

So the flux of curl(F) is

[tex]\displaystyle\iint_S(\nabla\times\mathbf F)\cdot\mathrm d\mathbf S=\int_0^{2\pi}\int_0^2(\nabla\times\mathbf F)\cdot\mathbf n\,\mathrm du\,\mathrm dv[/tex]

[tex]=\displaystyle\int_0^{2\pi}\int_0^2(5u+4u^2\cos v-6u^2\sin v)\,\mathrm du\,\mathrm dv=\boxed{20\pi}[/tex]

Alternatively, you can apply Stokes' theorem, which reduces the surface integral of the curl of F to the line integral of F along the intersection of the paraboloid with the plane z = 4. Parameterize this curve (call it C) by

[tex]\mathbf r(t)=2\cos t\,\mathbf i+2\sin t\,\mathbf j+3\,\mathbf k[/tex]

with [tex]0\le t\le2\pi[/tex]. Then

[tex]\displaystyle\iint_S(\nabla\times\mathbf F)\cdot\mathrm d\mathbf S=\int_0^{2\pi}\mathbf F\cdot\mathrm d\mathbf r[/tex]

[tex]=\displaystyle\int_0^{2\pi}(20\cos^2t-24\sin t)\,\mathrm dt=\boxed{20\pi}[/tex]

Answer:

1 = C

2 = A

3= B

4 = B

Step-by-step explanation:

Answer:

y = 1/4x+1

Step-by-step explanation:

Using slope intercept form

y = mx+b

where m is the slope and b is the y intercept

y =1/4 x+b

Substituting in the point

3 = 1/4(8)+b

3 = 2+b

Subtract 2 from each side

3-2 = b

1 =b

y = 1/4x+1

Answer:

y=1/4x+1

Step-by-step explanation:

the equation for a line is y=mx+b

where m is the slope and b is the y-intercept. since we have our slope given and and x,y given we can use that to solve for b. we get:

3=1/4(8)+b

3=2+b

1=b

therefore the y-intercept is b

so the equation is y=1/4x+1

Answer:

900

Step-by-step explanation:

You have 10 tens not 1 ten

8 * 100 + 10 * 10 + 0*1

800 + 100 + 0

900

Answer:

[tex]900[/tex]

Step-by-step explanation:

[tex]8 \times 100 + 10 \times 10 + 0 \times 1 \\ 800 + 100 + 0 \\ = 900[/tex]

The correct answer is $750

Explanation:

The total of food the Masmin family spend according to the graph is 15%. Now, to know the amount of money this represents, it is necessary to find the 15% of $5000, which is the total budget. The steps to do this are shown below.

1. To calculate the percentage of a given number, first, write all values

5000 = 100%

 x       =  15%

2. Use cross multiplication, this means you multiply 5000 by 15 and x by 15

x 100 = 75000

3. Solve the equation to find x or the 15% of 5000

x = 75000 ÷ 100

x = 750

Answer:  see proof below

Step-by-step explanation:

     Statement                                           Reason

1.   ∠WZX ≅ ∠YZX                                  1. Given

2.   ZW ≅ ZY                                           2. Given

3.   ZX = ZX                                             3. Reflexive Property

4.  ΔWZX ≅ ΔYZX                                  4. SAS Congruency Theorem

5. WX = YX                                              5. CPCTC

6. ∠WXZ = 90°                                         6. bisector of isosceles ΔWZY

    ∠YXZ  = 90°

7. ZX is perpendicular bisector of WY   7. Definition of perpendicular bisector

Step-by-step explanation:

In this question we have to prove that zx = wy

the question is proved in the above attachment

and as we know that the straight line is of 180 degree and Ab is the bisector of line so the angles are also equally divided it means angle zxw= 90 and zxy = 90

Hope it helps you mate

Answer:

$522.49

Step-by-step explanation: 549.99*.05=27.50 (discount)

549.99-27.50=$522.49

Answer:

$522.49

Step-by-step explanation:

First, find the discount amount. You can do this by multiplying the original cost by the discount amount. A little trick for remembering to multiply instead of divide is to think "five percent of the original amount"

5% = 0.05

549.99 ⋅ 0.05 = 27.4995

That means the discount amount is $27.50

Subtract the discount amount from the original price

$549.99 - $27.50 = $522.49

Answer:

B) 2

/////////////////

Answer: C

Step-by-step explanation:

Answer:

1. 181.59 is her net pay and she worked 25.25 hours.

Step-by-step explanation:

Answer: Please Give me Brainliest, Thank You!

21.6$/month

Step-by-step explanation:

4*150=600watts = 0.6kW

12cents = 0.12$

0.12$*0.6=0.72$

0.72$ * 30days = 21.6$/month

The amount of the electricity cost for 30 days will be 2.16 dollars per month.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Lee watches TV for 4 hours per day.

During that time, the TV consumes 150 watts per hour.

The amount of electricity used in a day will be

⇒ 4 × 150

⇒ 600 watts per day

⇒ 0.60 kilowatts per day

Electricity costs (12 cents)/(1 kilowatt-hour). Then the amount of electricity cost in a day will be

⇒ 0.60 × 12 cents

⇒ 0.60 × 0.12 dollars

⇒ 0.072 dollars per day

Then the amount of the electricity cost for 30 days will be

⇒ 0.072 × 30

⇒ 2.16 dollars per month

The amount of the electricity cost for 30 days will be 2.16 dollars per month.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

0.1875

Step-by-step explanation:

Let A be the event that  class two has been chosen . So the probability of A would be P (A) = 1/2= 0.5

Now class two has 9 girls out of total 24 students . So the probability of chosing the girl would be= P (B=) 9/24= 0.375

So the probability that Classroom #2 was chosen at random, given that a girl was chosen is given by = P(A) . P(B)= 0.5 * 0.375= 0.1875

Another way of finding the probability that Classroom #2 was chosen at random, given that a girl was chosen is by drawing a tree diagram.

P (1/2) Class 1 ------------------------5 boys

                      -------------------------11 girls  (11/16)

P (1/2)  Class 2 -------------------------15 boys

                     -----------------------9 girls  P (9/24)   Class 2 was chosen (0.5) *9/24