6^3 × 2^6 divided by 2^3

Answer:

For Triangles:

To find remaining angles, implying that you have angles already given to you, you would mark your unknown angle as a variable, x per say, then you would add together the angles that you do have and you would subtract that by 180 degrees because all triangles angles sum up to 180 degrees. So when you subtract that you should be able to find your unknown angle.

Answer:

Step-by-step explanation:

A trapezoid and two rectangulars are in the  opening form of the geometric shapes and you should calculate their surface areas seperately which is:

Answer:

Total surface area  = 3744 cm^2

Step-by-step explanation:

All linear measurements are in cm

Surface area of BOTH bases

Ab = 2*  (12+29)*24/2

= 984

Circumference of base

Cb = (25+12+26+29)

= 92

Height of prism

H = 30  (given)

Surface area of sides of prism

As= Cb*H

= 2760

Total Surface area of Prism

A = Ab + As

= 984 + 2760

= 3744 cm^2

Answer: 20 cm

If quadrilaterals WXYZ and BADC are congruent, then their corresponding sides are congruent.

Given that

WX≅DC,

XY≅BC,

you can state that

YZ≅AB,

WZ≅AD.

If AD = 4 cm and AB = 6 cm, then WZ = 4 cm and YZ = 6 cm. Opposite rectangle sides are congruent, then XY = 4 cm and WX = 6 cm.

The perimeter of WXYZ is

P = WX + XY + YZ + WZ = 6 + 4 + 6 + 4 = 20 cm.

Answer:

884,375

Step-by-step explanation:

The first digit can't be 0, so there are 9×10⁵ = 900,000 possible six-digit numbers.

Of those, the number of six-digit numbers that have only odd digits is 5⁶ = 15,625.

Numbers with at least one even digit are all numbers that don't have only odd digits.  So the number of six-digit numbers with at least one even digit is:

900,000 − 15,625 = 884,375

Answer:

B. 9

Step-by-step explanation:

When there are exponents with the same base in a fraction, they can be simplified by subtracting.

We can take out 2 on both the top and bottom, leaving us with 3^2 over 1

3x3 is 9 and 9/1 is still 9

Answer:

9

Step-by-step explanation:

Since the bases are the same, we can subtract the exponents to accomplish the division

a^b / a^c = a^ (b-c)

3^4 / 3^2

3^ (4-2)

3^2

9

Answer:

see explanation

Step-by-step explanation:

Given that y is inversely proportional to x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of proportion

(a)

To find k use the condition when y = 7 , x = 9, that is

7 = [tex]\frac{k}{9}[/tex] ( multiply both sides by 9 )

63 = k

y = [tex]\frac{63}{x}[/tex] ← equation of proportion

(b)

When x = 21, then

y = [tex]\frac{63}{21}[/tex] = 3

Answer:

∠CED

or

∠DEC

its the same thing

Step-by-step explanation:

E is the angle

Answer:

v = Δs/Δt

Step-by-step explanation:

Velocity is equal to the displacement/distance (delta symbol s) over the change of time (delta symbol t).

Answer:

x = 6.5

Step-by-step explanation:

The sum of the angles of a triangle is 180

8x+ 10x-10 + 10x +8 = 180

Combine like terms

28x -2 = 180

Add 2 to each side

28x-2+2 = 180+2

28x=182

Divide by 28

28x/28 = 182/28

x =6.5

Answer:

x = 6.5

Step-by-step explanation:

In a triangle, the sum of the measures of the angles equals 180 deg.

8x + 10x - 10 + 10x + 8 = 180

28x -2 = 180

28x = 182

x = 6.5

Answer:

sum of the angles of the triangle are 180°

Step-by-step explanation:

To find the sum of the interior angles, we use the formula( s-2*180), where s is the number of sides of the shape. If it is a pentagon, 5-2*180= 3*180= 540,

which shows that the sum of the interior angles of a pentagon is 540.

since, it is a triangle in the figure with 3 sides, 3-2*180=1*180=180.

The interior angles are unknown= a, b and c. we know that a+b+c=180 degrees and the exterior angles are mentioned. And we know that, opposite angles are equal. So, a is 40 degrees considering that 40 degrees is the opposite angle of a, b is 95 degrees whereas c is 45 degrees.

now, lets check if the angles indeed have a sum of 180 degrees,

40+95+45= 135+45 which gives 180 degrees.

Answer:

180°

Step-by-step explanation:

→ Angles in a triangles always add up to 180, we can prove this by calculating a, b and c so,

a = 40° (vertical angles are equal)

b = 95° (vertical angles are equal)

c = 45° (vertical angles are equal)

40 + 45 + 95 = 85 + 95 = 180°

Answer:b

Step-by-step explanation:

Answer:

828

Step-by-step explanation:

Missing leg of triangle:

√15²-12²= √225-144=√81=9

Triangle faces= 2*1/2*12*9= 108

Base= 20*9= 180

Front face= 20*15= 300

Back face= 20*12= 240

Total= 108+180+300+240= 828

Second choice

Answer: graphing calculator!

Step-by-step explanation: if you’re looking for the square root of a # that isn’t a perfect square (ie. sqrt4, sqrt 36) then you have to use a calculator for that. however the idea behind square roots is just a # multiplied by itself to give the original #. just ask yourself “what can i multiply by itself to get the original number”. hope that helped !

Answer:

By multiplying the number by its power 2.

E.g= 4^2

Answer:

[tex]r \approx 2.41\%[/tex]

Step-by-step explanation:

The computation of the approximate new interest rate is shown below:

As we know that there are four quarters in a year so

The new equation is

[tex]A = 250(1 + r)^{4t}[/tex]

Now to determine the value of interest rate,i.e r, so place this to the first equation.

So,

[tex]250(1.1)^{t} = 250(1 + r)^{4t}[/tex]

[tex]1.1^{t} = (1 + r)^{4t}[/tex]

1.1 = (1 + r)^4

[tex]\sqrt[4]{1.1} = 1 + r[/tex]

[tex]r = -1 + \sqrt[4]{1.1}[/tex]

[tex]r \approx 0.0241[/tex]

[tex]r \approx 2.41\%[/tex]

We simply applied the above formula so that the interest rate could come

Answer:

99.86%

Step-by-step explanation:

What we have here is a binomial distribution, let x be the baby number among 8 births.

Binomial (n = 8, p = 0.559)

We want to find, P (X ≥ 1)

P (X ≥ 1)    = 1 - P (X <1)

P (X ≥ 1)  = 1 - P (X = 0)

P (X = 0)   = 8C0 * (0.559) ^ 0 * (1 - 0.559) ^ (8-0)]

8C0 = 8! / (0! * (8-0)!) = 1

replacing we have:

P (X = 0)   = 1 * 1 * 0.0014

P (X = 0)  = 0.0014

P (X ≥ 1))  = 1 - 0.001 4

P (X ≥ 1) = 0.9986

Therefore the probability is 99.86%

Step-by-step explanation:

divide the figure into a square and a rectangle

the area of the figure (S) is the sum of the square ( A) and the rectangle (B)

A = 3*3 = 9

B = 7*5 = 35

So S = A+B = 35 +9 =44

Answer:

44cm^2

Step-by-step explanation:

So you can first find the area of the top box by doing 3x3 (square) and than adding the area of the bottom box by doing 7x5 (rectangle).

The way I got 3x3 is because if you look at the bottom the total length is 7. Above that horizontal line is the number 4 and 3. You use the number 3 as it is part of the square.

No the way I got 7x5 is if you look at the right side the full length is 8. In front of that is the vertical line having the number 3. In order to figure out the side length for the bottom part you need to do 8-3. You than get 5 which is your side length for the far-left vertical line.

Now if you do the area of the square + the area of the rectangle you get the full area of the figure:

(3x3) + (7x5)

9 + 35

44

hope this helps! :)

Answer:

A)x=2pi/3 and x=-2pi/3

Step-by-step explanation:

The function [tex]y=\frac{5}{3}tan(\frac{3}{4}x)[/tex] has vertical asymptotes in the values where the tan(a) has vertical asymptotes.

we know that tan(a) has vertical asymptotes in [tex]a=\frac{\pi }{2}[/tex] and  [tex]a=\frac{-\pi }{2}[/tex], if we made [tex]a=\frac{3x}{4}[/tex] and solve for x, we get:

for [tex]a=\frac{\pi }{2}[/tex]

[tex]\frac{\pi }{2} =\frac{3x}{4}\\x = \frac{2\pi }{3}[/tex]

for [tex]a=\frac{-\pi }{2}[/tex]

[tex]\frac{-\pi }{2} =\frac{3x}{4}\\x = \frac{-2\pi }{3}[/tex]

Finally, the function [tex]y=\frac{5}{3}tan(\frac{3}{4}x)[/tex] has vertical asymptotes in the values x=2pi/3 and x=-2pi/3

Answer:

A

Step-by-step explanation:

Answer:

[29 over 2 divided by 5 over 4] = 29/2 ÷ 5/4 (A)

[29 over 2 times 4 over 5] = 29/2 × 4/5 (C)

Step-by-step explanation:

The total amount of water a tank can hold is 14 and one and one-half gallons = 14½

We are to determine the number of 1/4 gallon buckets of water that can be used to fill the tank.

To find this, we would divide 14½ by 1¼ = 14½ ÷ 1¼

Convert 14½ and 1¼ to improper fraction

14½ = [(14×2)+1]/2 = 29/2

1¼ = [(1×4)+1]/4 = 5/4

14½ ÷ 1¼ =29/2 ÷ 5/4

Then we find the inverse of ¼ to convert the division to multiplication

= 29/2 × 4/5 = 116/10

= 11.6

14½ ÷ ¼ = 11.6

Therefore 11.6 gallons of ¼ buckets of water can be used to fill the tank.

But the two expressions that could be used to represent this scenario to get the answer from the options = 29/2 ÷ 5/4 (A)

[29 over 2 divided by 5 over 4]

29/2 × 4/5 (C)

[29 over 2 times 4 over 5]

Answer:

I believe it is A and C.

Answer:

Step-by-step explanation:

Easy 54320

Answer:

P-value = 0.0367

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that the percentage of residents who favor construction is significantly over 42%.

Then, the null and alternative hypothesis are:

[tex]H_0: \pi=0.42\\\\H_a:\pi>0.42[/tex]

The sample has a size n=900.

The sample proportion is p=0.45.

The standard error of the proportion is:

[tex]\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.42*0.58}{900}}\\\\\\ \sigma_p=\sqrt{0.000271}=0.016[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.45-0.42-0.5/900}{0.016}=\dfrac{0.029}{0.016}=1.79[/tex]

This test is a right-tailed test, so the P-value for this test is calculated as:

[tex]\text{P-value}=P(z>1.79)=0.0367[/tex]

Answer:

[tex]\alpha=1-0.96 =0.04[/tex]

And [tex]\alpha/2= 0.02[/tex] and if we use the following function on the Ti84 plus we got:

invNorm(0.02,0,1)

invNorm(1-0.02,0,1)

And the values with the middle 96% of the values are:

[tex]z_{\alpha/2}= \pm 2.054[/tex]

Step-by-step explanation:

For this case we want to find the limits with the middle 96% of the area below the normal curve, then the significance level would be:

[tex]\alpha=1-0.96 =0.04[/tex]

And [tex]\alpha/2= 0.02[/tex] and if we use the following function on the Ti84 plus we got:

invNorm(0.02,0,1)

invNorm(1-0.02,0,1)

And the values with the middle 96% of the values are:

[tex]z_{\alpha/2}= \pm 2.054[/tex]

Answer:

Test statistic t = 3.12

P-value = 0.001

As the P-value (0.001) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the average salary of an employee in the city of Yarmouth is is significantly greater than $55,000 per year.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the average salary of an employee in the city of Yarmouth is is significantly greater than $55,000 per year (Gina's claim).

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=55000\\\\H_a:\mu> 55000[/tex]

The significance level is 0.05.

The sample has a size n=61.

The sample mean is M=56500.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=3750.

The estimated standard error of the mean is computed using the formula:

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{3750}{\sqrt{61}}=480.138[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{56500-55000}{480.138}=\dfrac{1500}{480.138}=3.12[/tex]

The degrees of freedom for this sample size are:

df=n-1=61-1=60

This test is a right-tailed test, with 60 degrees of freedom and t=3.12, so the P-value for this test is calculated as (using a t-table):

[tex]\text{P-value}=P(t>3.12)=0.001[/tex]

As the P-value (0.001) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the average salary of an employee in the city of Yarmouth is is significantly greater than $55,000 per year.

Answer:

36 cups

3/12 = 9/c

Step-by-step explanation

3 ÷ 12 = .25

each cup = 25 cents

9 ÷ .25 = 36

Marco sold 36 cups of lemonade.

3/12 = 9/c

Answer:

36 cups

Step-by-step explanation:

We can set up a proportion:

12/3=c/9

Cross multiply.

12*9=3*c

108=3c

Divide both sides by 3.

c=36

The error that the proportion Kaycee set up was

cups/price=price/cups

This is not proportionate.

Possible proportions include:

cups/price=cups/price

price/cups=price/cups

cups/cups=price/price

price/price=cups/cups

Answer:

24.6

Step-by-step explanation:

Answer:

24.6

Step-by-step explanation:

82 times 3 is 246.

Remember your decimal mark.

24.6

Answer:

1.59 change

Step-by-step explanation:

2.78*2=5.56

5.56+2.85=8.41

10.00-8.41=1.59

Pls Mark As Brainliest

Answer:

£1.59

Step-by-step explanation:

Cup of Coffee:

=>2 cups of coffee = 2(£2.78)

=> 2 cups of coffee = £5.56

Piece of cake = £2.85

Total cost = 5.56 + 2.85

=> £8.41

Now, the change:

=> £10-£8.41

=> £1.59

Answer:0.0081  or 0.81%

Step-by-step explanation:

The required probability is P(3,5,0.1)= C5 3 * p^3*q^2, where

C5 3=  5!/3/2=4*5/2=10

p is the probability that one randomly selected calculator is defective= 10%=0.1

q is the probability that one randomly selected calculator is non-defective.

q=1-p=1-0.1=0.9

So P(3,5,0.1)= 10*0.1^3*0.9^2=0.01*0.81=0.0081

Answer:

The probability of  successes   P( x < 4 ) = 0.36138

Step-by-step explanation:

Step(i):-

Given 'n'=9

The probability of success 'p' = 0.45

                                            q = 1-p = 1-0.45 = 0.55

Let 'X' be the random variable in Binomial distribution

[tex]P(X=r) = n_{C_{r} } p^{r} q^{n-r}[/tex]

[tex]n_{C_{r} } = \frac{n!}{(n-r)!r!}[/tex]

Step(ii):-

The probability of x successes in the n independent trials of the experiment

[tex]P(x<4) = P(x=0) +P(x=1)+P(x=2)+P(x=3)[/tex]

              = [tex]= 9_{C_{0} } (0.45)^{0} (0.55)^{9-0}+9_{C_{1} } (0.45)^{1} (0.55)^{9-1}+9_{C_{2} } (0.45)^{2} (0.55)^{9-2}+9_{C_{3} } (0.45)^{3} (0.55)^{9-3}[/tex]By using factorial notation

[tex]n_{C_{r} } = \frac{n!}{(n-r)!r!}[/tex]

[tex]9_{C_{0} } = 1 , 9_{C_{1} } = 9 , 9_{C_{2} } = 36, 9_{C_{3} } = 84[/tex]

P( x < 4 ) = (0.55)⁹ + 9(0.45) (0.55)⁸ + 36 (0.45)² (0.55)⁷ +84 (0.45)³ (0.55)⁶

P( x < 4 ) = 0.004605+0.03391 + 0.1109855+ 0.21188

P( x < 4 ) = 0.36138

Final answer:-

The probability of  successes   P( x < 4 ) = 0.36138

Answer:Domain is x and range is y.For ex:-4 is domain and -7 is range.

Step-by-step explanatioFeel pleasure to help u:

Domain ( -4, 5) Range ( -7, 6)

The Domain includes the numbers between the least and the greatest x-values.

The range includes the numbers between the lowest and the highest y-values.

Answer:

C. Stacy

Step-by-step explanation:

One way to compare is to convert all the fractions into decimals

    Rachel works 2/3 of her shift: Approximately= 0.667

    Jose works 1/6: approx. = 0.1667

    Damon works 4/5= 0.80

    Stacy works 6/7: approx. = 0.8571

Now this makes it much easier to compare

And since 0.85714 (Stacy's shift) is the largest number, Stacy has completed the largest portion of her shift

Answer:

3: 2

Step-by-step explanation:

game Apps: education apps:

3: 2