Indicate whether the following congruence statement is true or false.
50 points

Answer:

33.33%

Step-by-step explanation:

We need to calculate the unit selling price and cost of each cosmetics.

If a person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen., then for 1 cosmetics, we will say;

x = 1 cosmetic

since 360 = 12 cosmetic

cross multiply

12x = 360

x = 360/12

x = 30

Hence the unit cost price of the cosmetics will be Rs. 30

Similarly, if he sells it at Rs 80 a pair, then he sold one cosmetic at 80/2 = Rs. 40 (a pair is 2 cosmetics)

Selling price per unit = Rs. 40

Cost price per unit = Rs. 30

percent gain = SP-CP/CP * 100%

percent gain = 40-30/30 * 100

percent gain = 10/30 * 100

percent gain = 100/3

percent gain = 33.33%

Hence the percentage gain is 33.33%

The missing part:

Make a model of probability showing the set of outcome and the probability value of each outcome.

Answer:

Step-by-step explanation:

From the given information:

a) From the word SANTA CLAUS, outcomes are all distinct letters.

This implies that the outcomes are S, A, N, T, C, L, U, S

For  S, N, T, C, L, U, S letters, each of them is repeated once.

Thus, their respective probability = [tex]\dfrac{1}{10}[/tex]

A is repeated thrice, so probability for A = [tex]\dfrac{3}{10 }[/tex]

Using the probability distribution table; we have the following.

outcome      S        A        N        T        C        L        U        S

probability   [tex]\dfrac{1}{10}[/tex]      [tex]\dfrac{3}{10 }[/tex]        [tex]\dfrac{1}{10}[/tex]      [tex]\dfrac{1}{10}[/tex]       [tex]\dfrac{1}{10}[/tex]      [tex]\dfrac{1}{10}[/tex]       [tex]\dfrac{1}{10}[/tex]       [tex]\dfrac{1}{10}[/tex]

Answer:

7.96 × 10⁸ kg

Step-by-step explanation:

Step 1: Given data

Step 2: Determine how many more kilograms is the mass of the Golden Gate Bridge than the mass of the Eiffel Tower

To determine this ratio, we need to do the following subtraction.

mG - mE = 8.05 × 10⁸ kg - 9.16 × 10⁶ kg = 7.96 × 10⁸ kg

The Golden Gate Bridge has approximately 7.96 × 10⁸ kg more than the Eiffel Tower.

Answer:

Area covered by wiper=area of arc(A0D)+area of traingleAOB+area of arc(BOC)

We know AO and OB are wipers,whose lengths are 1.5

In ∆ABC

AB^2+BC^2=AC^2

(1.5√3)^2+(1.5)^2=(AC)^2

2.25×3+2.25=(AC)^2

2.25×4=AC^2

AC=3

Also AO=1.5

similarly using Pythagoras theorem in ∆OBC

we get

OC=1.5

this shows that point O is the bisector of diagonal AC

so,AO=OC

also from property of rectangle we know that, diagonal bisects each other equally

so,O will also be the bisector of diagonal BD

hence OB=OD=1.5

AC=BD (property of triangle)

AC/2=BD/2

OB=OC,hence OB=OC=OD=OA=1.5=AD=BC

Hence OAD will be an equilateral triangle

so

angle OAD=60

similarly angleOBC=60

area of sector=angle of that sector ×area of circle/360

area of arc(AOD)+arc(BOC)=60/360 ×3.14 ×1.5×1.5 +60/360 ×3.14×1.5×1.5

=2×(60/360)×1.5×1.5

area of triangleAOB=area of rectangle/4 (diagonal divides the rectangle in 4 equal parts)

area of triangle=1.5×1.5√3/4

=>1.5×2.6/4=3.90/4

=0.975 or 0.98(approx)

Area covered by wiper=.98+2×60/360 ×3.14×1.5×1.5

=.98+0.75×3.14=2.35+0.97

=2.35+.98

Percentage of area of windshield covered by wiper=3.3×100/3.9=84.61

hence percentage of area of windshield covered by wiper is 85percent(approx)

plz mark brainlest

Answer:

$34,203,985.20

Step-by-step explanation:

Answer:

Option C: 11 is the correct answer.

Step-by-step explanation:

Given that:

Length of base of isosceles triangle = b =  x

The length of leg of triangle = a = 3x-7

Perimeter of triangle = 63

Perimeter of an isosceles triangle is given by

Perimeter = 2a + b

Putting values in the formula

63 = 2(3x-7) + x

63 = 6x-14+x

63 = 7x-14

63+14=7x-14+14

77=7x

7x=77

Dividing both sides by 7

[tex]\frac{7x}{7}=\frac{77}{7}\\x=11[/tex]

The value of x is 11.

Hence,

Option C: 11 is the correct answer.

The given expression is 500=100x, situations A could match this formula.

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

It is given that,500=100x

If the distance is d, velocity is v and time is t then, The formula for the distance is,

Distance = velocity × time

d=vt

The distance is in miles, v is in miles per hour and t is an hour,

miles = miles/hour × hour

The correct representation of the expression is,

If the time in an hour will be x,

An object travels 500 miles at a rate of 100 miles per hour.

Distance = velocity × time

d=vt

500=100x

Thus, the given expression is 500=100x, situations A could match this formula.

Learn more about the distance here:

brainly.com/question/26711747

#SPJ2

Answer: first box - ($6.50x6) the answer is  $39.00. Second box - ($6.50x4) $26.00, the answer is $65.00

Also, put your pinky on the line and draw a line next to your pinky and write 10%.

She will save 26.00

she will have to pay 39.00

Step-by-step explanation:

Answer:

1.73205080757

Step-by-step explanation:

Th4t's the answer

Answer:

C. 34,859*1 1/2

hope ThIs hElPz                      : \

Answer:

3

Step-by-step explanation:

12/4=3

Answer:

4/3 cups or 1 1/3 cups

Step-by-step explanation:

4 cups                x cups

----------------- = --------------

12 people           4 people

Using cross products

4 * 4 = 12x

16 = 12x

Divide each side by 12

16/12 = x

4/3 = x

1 1/3 cups

Answer:

its B. -27

Step-by-step explanation:

Answer:

The test statistics is  [tex]z = 2.47[/tex]

Step-by-step explanation:

From the question we are told that

    The  sample size is  n =  191 \  buses

     The sample mean is  [tex]\= x = 96 700 \ miles[/tex]

    The population standard deviation is  [tex]\sigma = 37 500 \ miles[/tex]

The null hypothesis is  [tex]H_o : \mu = 90 000[/tex]

The alternative hypothesis is  [tex]H_a : \mu > 90 000[/tex]

Generally the test statistics is mathematically represented as

         [tex]z = \frac{\= x - \mu }{ \frac{\sigma }{\sqrt{n} } }[/tex]

=>      [tex]z = \frac{96700 - 90 000 }{ \frac{37500}{\sqrt{191} } }[/tex]

=>      [tex]z = 2.47[/tex]

Answer: 13 times as much

Step-by-step explanation:

8.45/0.65

Answer:

Step-by-step explanation:

is there more information to the question??

Answer:

12.5

10

Step-by-step explanation:

10(1/2+3/4)

5+7.5

12.5

10(1/2)+(8(3/4)-1)

5+(6-1)

5+5

10

Answer:

hope this helps......

Answer:

ratio is a comparison of two or more numbers that indicates their sizes in relation to each other

Step-by-step explanation: how to multiply

Answer:

A number that is multiplied by a variable is called a coefficient.

Answer:

y = 225(x)

Step-by-step explanation:

Given:

Cost per night = 225

Total cost = y

Number of nights = x

Computation:

Total cost = (Cost per night)(Number of nights)

So,

y = 225(x)

Answer:94,

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

Solving by substitution

Then finding y

Intersection point is (2, -2)

Answer:

see explanation

Step-by-step explanation:

The area (A) of a sector is calculated as

A = area of circe × fraction of circle

   = πr² × [tex]\frac{0}{360}[/tex] ← where θ is in degrees

[ note that 360° = 2π radians ], then

A = πr² × [tex]\frac{0}{2\pi }[/tex] ← where θ is in radians

( Cancel π on numerator/ denominator )

A = [tex]\frac{1}{2}[/tex]θr²

9514 1404 393

Answer:

  top down: 2, 4, 1, 7, 6, 5, 3, 8

Step-by-step explanation:

It appears the expected order may be ...

__

Write the formula for a sector area of a circle with central angle, θ, in degrees.

  [tex]\textit{Area of a Sector}=\dfrac{\theta}{360^{\circ}}\cdot\pi r^2[/tex]

Replace 360° with 2π radians.

  [tex]\dfrac{\theta}{360^{\circ}}=\dfrac{\theta}{2\pi}[/tex]

Replace the angle ratio in degrees with the angle ratio in radians.

  [tex]\textit{Area of a Sector}=\dfrac{\theta}{2\pi}\cdot\pi r^2[/tex]

Simplify by cancelling

  [tex]\textit{Area of a Sector}=\dfrac{1}{2}\theta r^2[/tex]

Answer: the 10 people served .1 more cups per serving than the 12 people

Step-by-step explanation:

4.5/12=.375

4.75/10=.475

The difference between .375 and .475 is .1

Answer:

If the use the method ''Add -5 to both sides, then multiply both sides by -2/7'', we can get the value n = 6.

Thus, the correct option is 'C'.

Step-by-step explanation:

Given the equation

[tex]-\frac{7}{2}n+5=-16[/tex]

Let me solve this using the correct method

[tex]-\frac{7}{2}n+5=-16[/tex]

Add -5 to both sides

[tex]-\frac{7}{2}n+5+\left(-5\right)=-16+\left(-5\right)[/tex]

simplify

[tex]-\frac{7}{2}n=-21[/tex]

Multiply both sides by -2/7

[tex]-\frac{7}{2}n\times -\frac{2}{7}=-21\times -\frac{2}{7}[/tex]

simplify

[tex]n=6[/tex]

Therefore, if the use the method ''Add -5 to both sides, then multiply both sides by -2/7'', we can get the value n = 6.

Thus, the correct option is 'C'.

Answer:

P-value is a parameter to compare with the significance level in order to make decisions about rejecting or not the hypothesis

Step-by-step explanation:

When you are developing a hypothesis test, in order to compare two means  (  μ₁   and  μ₂ )  you have two hypothesis

Null Hypothesis                       H₀            μ₁   =      μ₂

And depending on the problem statement, the alternative  hypothesis could be

Alternative Hypothesis           Hₐ     (1)         μ₁    >     μ₂  

                                                            (2)        μ₁     <    μ₂

                                                             (3)       μ₁     ≠      μ₂

Now if the result of the test determines that H₀ is rejected  you accept in case

(1)   μ₁    >     μ₂

(2)  μ₁    >     μ₂  

(3)  μ₁     ≠      μ₂

In any case, you need a confidence Interval, and as consequence you established a significance level to do your test. These two concept defines the acceptance and the rejection region. Just for instance

CI  =  90% means that the acceptance region is 90 %, and at the same time, the rejection area is 10 %. That 10 % will be used as follows,

Case 1 you are developing a one tail-test to the left ( side of the curve )

Case 2 you are developing  a one tail-test to the right

Case 3 you are developing a two-tail test ( in that case you need to split α into two equal areas one for each tail.

Now P-value is a tool for decision is an area that you can compare with α to accept or reject H₀.

In our particular case suppose we are testing

H₀     μ₁   =      μ₂

Hₐ      μ₁     <    μ₂

Let´s say CI = 95    then  α = 5 %     α = 0,05

And we get  P-value  =  0,16

Then area   0,16 > 0,05   Then we are in the acceptance region

(that condition really implies that z(s) < z(c)  

Answer:

1) y=18

2)y=-0.18

Step-by-step explanation:

1) y-15=3. Add 15 on both sides.

y=18

2)-2.1+5y=-3. Add 2.1 on both sides

5y=-0.9. Divide 5 on both sides

y=-0.18