A bell tolls every 10 minutes. Another bell tolls every 15 minutes. Both bells toll at 6:00 PM. They will toll together again at :

Answer:

The answer is 2.

Step-by-step explanation:

3 - 2 = 1

7 - 5 = 2

2 x 1 = 2

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 5000

For the alternative hypothesis,

H1: µ > 5000

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 5000

x = 5430

σ = 600

n = 40

z = (5430 - 5000)/(600/√40) = 4.53

Looking at the normal distribution table, the probability corresponding to the z score is < 0.0001

Since alpha, 0.05 > than the p value, then we would reject the null hypothesis. Therefore, at a 5% level of significance, it can be concluded that they walked more than the mean number of 5000 steps per day.

Since the margin of error is 0.11, it can't be concluded that they walked more than the mean number of 5000 steps per day.

Given that it was found that a random sample of 40 walkers took an average of 5430 steps per day, and the population standard deviation is 600 steps, to determine if at = 0.05 can it be concluded that they walked more than the mean number of 5000 steps per day the following calculation must be made:

Therefore, since the margin of error is 0.11, it can't be concluded that they walked more than the mean number of 5000 steps per day.

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Answer:

153.9 ft²

Step-by-step explanation:

The area for a circle formula is πr².

Using the radius, we get:

π×7² =

49π ≈

153.938 ≈ (Using the π key)

153.9 ft²

Answer:153.86

Step-by-step explanation:area of a circle is πr square

That is 3.14×49

=153.86

Answer:

D

Step-by-step explanation:

D is the only answer with the correct distance formula format and the correct numbers inside the parentheses

The square root of 81/625 = 0.36

The square root of x^2 = x

The square root of y^2 = y

25 x 0.36 = 9

X *x = x^2

Y*y = y^2

Final answer = 9x^2y^2

Answer:

The answer is option d. 9x²y²

Step-by-step explanation:

25xy√81/625x²y²

= 25xy × 9/25xy

= 9x²y²

Hope this helps.

Answer:

Step-by-step explanation:

[tex]a = -24\\d = t2 -t1\\d = -7-(-24)\\d = -7+24\\d = 17\\\\T_{n} = a +(n-1)d\\T_{52} = -24+(52-1)17\\T_{52} = -24+(51)17\\T_{52} = -24+867\\T_{52} = 843[/tex]

I hope i am correct

Answer:

843

Step-by-step explanation:

Here,

First term a = - 24

Common difference (d) = - 7 - (-24) = - 7 + 24 = 17

Nth term of an Arithmetic sequence is given as:

[tex]a_n = a + (n-1)d \\ a_{52} = - 24 + (52-1) \times 17 \\ a_{52} = - 24 + 51 \times 17 \\ a_{52} = - 24 + 51 \times 17 \\ a_{52} = - 24 + 867\\ a_{52} = - 24 + 867 \\ \\ \huge \red { \boxed{ a_{52} = 843}}[/tex]

Answer:

Step-by-step explanation:

Answer:

The plane travels at a speed of 66 miles per hour without wind.

Step-by-step explanation:

Tyler trip has to stage, the first one where he went against the wind and the second where he returned with the wind. We know that the wind speed is 6 mph, if we attribute the variable "x" to the speed of the plane without wind, then on the first stage of its trip the total speed relative to the ground was "x - 6", while on the return trip it was "x + 6". We also know that the distance between the trips was the same 4320 miles, but the second stage was 12 hours faster. We will use the average speed formula to solve this problem, this is shown below:

[tex]\text{speed} = \frac{\text{distance}}{\text{time}}[/tex]

For the first trip the speed was:

[tex]x - 6 = \frac{4320}{\text{time}_1}\\\\\text{time}_1 = \frac{4320}{x - 6}[/tex]

For the second trip the speed was:

[tex]x + 6 = \frac{4320}{\text{time}_2}\\\\\text{time}_2 = \frac{4320}{x + 6}[/tex]

Since the time for the second trip was 12 hours less, then if we add 12 to the second equation it should be equal to the first, so:

[tex]time_2 + 12 = time_1[/tex]

[tex]\frac{4320}{x + 6} +12 = \frac{4320}{x - 6}\\\frac{4320}{x+ 6} - \frac{4320}{x - 6} = -12\\\frac{4320*(x - 6) - 4320*(x + 6)}{x^2 - 36} = -12\\4320*x - 25920 - 4320*x - 25920 = -12*x^2+ 432\\-51840 = -12*x^2 +432\\12*x^2 =51840 + 432\\x^2 = \frac{52272}{12}\\x^2 = 4356\\x = 66[/tex]

The plane travels at a speed of 66 miles per hour.

Answer:

19/5

Step-by-step explanation:

Aquí, queremos escribir el número total de millas que Hans corrió en forma de una fracción impropia.

Para hacer esto, agregamos todas las millas recorridas.

Matemáticamente, eso sería 3 + 4/5 = 3 4/5 Esta es la forma de fracción mixta.

La fracción impropia es así (5 * 3) + 4/5 = 19/5

The correct option is (B).ΔDCE ≅ ΔD'C'E'

Given,

Triangle CDE is translated down and to the right, forming triangle C'D'E'.

We have to find which statement is correct.

We know that,Triangle has three angles so when we translated it down it doesn't change.

Since Translation doesn't make change to sides and measure of angles so triangle will remain same after translation.

Translation is also known as shifting of same triangle to new position so there will be no change in the angle or side of the triangle. So

[tex]CD =C'D'[/tex]

[tex]\ CE = \ C'E'[/tex]

[tex]DE =D'E'[/tex]

So,the correct option is (B). ΔDCE ≅ ΔD'C'E'.

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Answer: It's B. I hope this helps!!!!

Answer:

2.75

Step-by-step explanation:

3/4 is .75 in decimal

Answer:

54

Step-by-step explanation:

since n = 3

= -2n ( 5n+n-8-3n)

= -2 (3) ( 5+(3)-8-3(3) )

= -6 (5+3-8-9)

= -6 (5-5-9)

= -6 (-9)

= 54.

Answer:

g = f/2

Step-by-step explanation:

Since it is given that 2 side lengths are the same, the 2 triangles produced are similar triangles. That means the ratio from f to g would have to be half, as the ratio of the similar triangle is 1:2.

Answer:

Step-by-step explanation:

You need the value of one of angles. If height angle is 90°, then you have 2 90° angles. So you have 2 triangles SAS.

I hope I've helped you.

Answer:

a = 1.5

b = 1.75

Step-by-step explanation:

First, we need to solve [tex](x+a)^2[/tex] and replace the result in the initial equation as:

[tex]x^2+3x+4=(x+a)^2+b\\x^2+3x+4=x^2+2ax+a^2+b[/tex]

Then, this equality apply only if the coefficient of [tex]x[/tex] is equal in both sides and the constant is equal in both sides.

It means that we have two equations:

[tex]3x=2ax\\4=a^2+b[/tex]

So, using the first equation and solving for a, we get:

[tex]3x=2ax\\3=2a\\a=\frac{3}{2}=1.5[/tex]

Finally, replacing the value of a in the second equation and solving for b, we get:

[tex]4=a^2+b\\4=1.5^2+b\\b=4-1.5^2\\b=4-2.25\\b=1.75[/tex]

Answer:

Step-by-step explanation:

Pattern 6 will have 35

Answer: B

Step-by-step explanation:

For this problem, we can use Integration by Parts to find f(u).

∫(ln u) du                 x=ln u             dx=1/u du

                               dv=du               v=u

u(ln u)-∫u(1/u)du

u(ln u)-∫1 du

u(ln u)-u+C

Looking at the placement of f(u), we know that f(u) is u (underlined above).

Answer:

P(Take the bus | Sophomore) = 0.83

Step-by-step explanation:

For a conditional probability (As given in the example),

P(A|B) is read as,

"The probability of event A occurring given that event B has occurred"

Here event A = Sophomore take a bus

Event B (occurred) = (Drive to school + Take the bus + Walk)

Therefore, P(Take a bus | Sophomore) = [tex]\frac{25}{(2+25+3)}[/tex]

                                                                = [tex]\frac{25}{30}[/tex]

                                                                = 0.833

                                                                ≈ 0.83

P(Take the bus | Sophomore) = 0.83 will be the answer.

Answer:

A and C

Step-by-step explanation:

A. \

(4.0 x 5.0)(10^3 x 10^5)

20 x 10^8

2.0 x 10^9

B. doesn't work, do not understand last number

C.

(2.1 + 2.7) (10^5 + 10^5) since powers are the same, do not need to change anything

4.8 x 10^5

D.

(3.1 - 2.7) (10^5 - 10^2) since powers are not the same, you need to make them equal

Do not need to subtract powers, hence D is untrue

Answer:

4 units

Step-by-step explanation:

Considering the triangle KLJ, using the trigonometric ratios defined by the notation SOH CAH TOA

Line LJ is the opposite side while LK is the hypotenuse side. Hence,

Sin 30 = LJ/8√2

LJ = 8√2 × 1/2

= 4√2

Considering triangle LJM, line LJ is now the hypotenuse while line LM which is equal to x is the opposite side.

Sin 45 = x/4√2

x = 4√2 × 1/√2

x = 4

Answer:

4

Step-by-step explanation:

Just took the test in k12

Answer: 8 times

Step-by-step explanation:

Youre essentially doing 3 divided by 3/8.

3 is equivalent to 3/1. And when you divide fractions, you have to multiply by the reciprocal. the reciprocal of 3/8 is 8/3.

[tex]\frac{3}{1} *\frac{8}{3} = \frac{24}{3} = 8[/tex]

There are eight (8) 3/8’s are in 3

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Answer:

A

Step-by-step explanation:

The solution to a system of equations given graphically is at the point of intersection of the 2 lines.

If the lines are parallel then they never intersect, thus there can be no solution.

Answer:

ОА.

There is no solution

Step-by-step explanation:

If lines are parallel, they will have no common points, so no solution

Answer:

80° is the correct answer

Step-by-step explanation:

The angle B is 100° because of the property of  the vertically opposite angle.

As we know the property consecutive interior angle that the sum of two angle is 180°

So

Angle B + Angle X  =180°

100 °+ Angle X =180°

Angle X=180°-100°

Angle X = 80°

Answer:

70 degrees

Step-by-step explanation:

Answer:

70 that my answer and so they can reach

[tex]answer \\ option \: a \\ 3 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

Answer:

Step-by-step explanation:

The 2 smaller triangles are proportionate to one another because they are 2 parts of the same larger triangle. Setting up the proportion, one triangle at a time:

[tex]\frac{x}{8.3} =\frac{11.6}{6.7}[/tex] and cross multiply to get

6.7x = 96.28 so

x = 14.37 or 14.4, choice A.

Answer:

Let the first equation be x + y = 10

x = 10 -y

2nd equation will be 1x + 1.2y = 11

Substituting in 2nd equation

(10 - y) + 1.2y = 11

10 - y + 1.2y = 11

.2y = 1

y = 5

If y = 5, x = 5: coz x + y = 10

She have buy 5 stamps of each $1 stamps and  5 stamps of each $1.20 stamps.

A linear equation is an equation that has the variable of the highest power of 1.

The standard form of a linear equation is of the form Ax + B = 0.

Let the first equation be;  

x + y = 10

x = 10 -y

2nd equation will be,

1x + 1.2y = 11

Substituting in 2nd equation;

(10 - y) + 1.2y = 11

10 - y + 1.2y = 11

0.2y = 1

y = 5

If y = 5, x = 5:

x + y = 10

Hence, She have buy 5 stamps of each $1 stamps and  5 stamps of

each $1.20 stamps.

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Answer:

20mph

Step-by-step explanation:

because you have to divide 240 by 12 and the answer is 20

Answer:

27 smoothies

Step-by-step explanation:

if you have 27 cups and one requires one cup, it would be 27 smoothies Katherine can make :)