Jasmine surveyed the people at a local playground. She found that 33 out of 55 people brought water bottles. On Wednesday, Jasmine returns to the park and finds that 1212 people brought water bottles. About how many people do you expect were at the park on Wednesday? Enter the number of people at the park on Wednesday.

an equation showing a way to estimate to the neasrt inch the total rainfall for the two day 2.45 + 1.72 ≈ 4.2 inches

1. Add the two amounts of rainfall together: 2.45 + 1.72

2. Round the answer to the nearest inch: 4.2 inches

3. The equation to estimate the total rainfall for the two days is 2.45 + 1.72 ≈ 4.2 inches.

This equation provides a simple way to estimate the total rainfall for two days. By adding the two amounts of rainfall, we can then round the answer to the nearest inch to obtain the estimated total rainfall. This equation can be used to quickly and accurately estimate rainfall totals for any two-day period.

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The test statistic for this problem, using the t-distribution, is given as follows:

t = 2.29.

We use the t-distribution as we have the standard deviation for the sample and not the population.

The equation for the test statistic is given as follows:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

In which:

The parameters for this problem are given as follows:

\(\overline{x} = 30.6, \mu = 28.6, s = 3.8, n = 19\)

Hence the test statistic is given as follows:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

\(t = \frac{30.6 - 28.6}{\frac{3.8}{\sqrt{19}}}\)

t = 2.29.

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Sample test result: t_{obs}=1.984,

The one-sample t-test compares the mean of a sample to a known or hypothesized value. The formula to calculate the t value is shown below;

t_{obs}=\frac{\bar{X}-\mu}{s/\sqrt{n}}

Where, t_{obs} is the t-value, \bar{X} is the mean of the sample, \mu is the known or hypothesized value, s is the standard deviation of the sample and n is the number of observations in the sample.

Given,

The mean of the sample (\bar{X})=30.6

The standard deviation of the sample (s)=3.8

The population mean (\mu)=28.6

Number of observations (n)=19

Level of significance (\alpha)=0.001

To calculate t_{obs} using the formula mentioned above, we need to plug the given values into the formula.

t_{obs}=\frac{\bar{X}-\mu}{s/\sqrt{n}}=\frac{30.6-28.6}{3.8/\sqrt{19}}=\frac{2}{\frac{3.8}{\sqrt{19}}}=\frac{2\times\sqrt{19}}{3.8}=1.984

Therefore, t_{obs}=1.984, when the one-sample t-test compares your sample (\bar{X}=30.6, s=3.8) of 19 observations with a population that has (\mu=28.6) at (\alpha=0.001)

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Answer:

C

Step-by-step explanation:

3706*4

3000*4=12000

700*4=2800

6*4=24

12000+2800+24=14824

The answer would be 0.5. You're welcome!

For a sample of 72 batteries, the probability that the average battery life of the sample exceeds 1173.8 minutes is 0.9918.

It states a battery life variance of 8100 minutes and a median battery life of 1192 minutes.

In a sample of 72 batteries, find the probability that the average battery life (x) of the sample exceeds 1173.8 minutes.

Due to the large sample size (n = 72), we can use the central limit theorem to assume that the sample mean follows a normal distribution with mean μ = 1192 and standard deviation σ = sqrt(8100/72) = 30.

So the z-score for x= 1173.8 is

z = (x - μ) / (σ / sqrt(n))

= (1173.8 - 1192) / (30 / square(72))

= -2.4

You can use a standard normal distribution table or calculator to find the probability that a  standard normal random variable is greater than -2.4. This is 0.9918 (rounded to four decimal places).

Therefore, for a sample of 72 batteries, the probability that the average battery life of the sample exceeds 1173.8 minutes is 0.9918 (rounded to four decimal places) if the claim is correct. 

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Answer:

y=2/5(x)-4

Step-by-step explanation:

m=2/5

y=mx+b

2=2/5(15)+b

b=-4

Answer:

m= 2/5 (i don't know if you have to put x)

b= -4

y = 2/5x-4

Step-by-step explanation:

i hope this helps :)

Answer:

80

Step-by-step explanation:

5x2x8=80

Answer:

volume= 8*2*5

=80cube

The value of x is 64.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

y ∝ √x

This can be written as,

y = k√x

Now,

When x = 25, y = 15.

This means,

y = k√x

15 = k√25

15 = 5k

k - 15/5

k = 3

Now,

When y = 24,

y = k√x

24 = 3 x √x

24/3 = √x

√x = 8

Squaring both sides.

x = 8²

x = 64

Thus,

The value of x is 64.

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Option C best describes the limiting values of T and a under the conditions given. In this case, T represents tension and a represents acceleration.

Without the specific conditions mentioned, it is impossible to determine the exact limiting values of T and a. However, certain options can be ruled out based on common sense and physical laws. For example, option C (T=mg and a=0) is not possible as the tension in a string cannot be equal to the weight of an object. Option E (T=0 and a=[infinity]) is also not possible as a mass cannot have zero tension and infinite acceleration.

Based on these eliminations, the most reasonable options are A (T=0 and a=0) and D (T=[infinity] and a=g). In the former case, the object is not moving and there is no tension in the string. In the latter case, the object is in free fall and the tension in the string is negligible compared to the weight of the object.

However, it is important to note that the exact limiting values of T and a will depend on the specific conditions of the scenario, such as the mass of the object and the angle of the string.

Option C best describes the limiting values of T and a under the conditions given. In this case, T represents tension and a represents acceleration. When T=mg and a=0, it means that the tension in the system is equal to the gravitational force acting on the mass (mg) and the system is in equilibrium with no acceleration. This is a common scenario when an object is hanging from a rope or cable and not moving. The other options do not represent stable or realistic conditions for a physical system.

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Answer A. 3 mph

A. 3 mph

Answer:

If Zach used to take 20 minutes to walk to school, and now takes only three-fourths of that time, we can calculate the time he takes to cycle to school as:

20 minutes * (3/4) = 15 minutes

Therefore, he saves:

20 minutes - 15 minutes = 5 minutes

Zach saves 5 minutes by cycling to school rather than walking.

Step-by-step explanation:

Im use x instead of theta.

\(2 \sin(x) = \sin(2x) \)

\(2 \sin(x) = 2 \sin(x) \cos(x) \)

\(1 = \cos(x) \)

\(x = 0\)

Answer:

C.

Step-by-step explanation:

Radius = 16 ÷ 2 = 8

\(\frac{45}{360} *8^2*\pi =25.1\) (3sf)

You can first find the total area of the circle which is \(64\pi\).

Then, you can find the area of the slice of the pizza, if you take the ratio of the angle it creates with the total angle of a circle (360.)

For example, a semicircle's are would be  \(\frac{180}{360} *8*\pi\).

Answer:

C. 25.1 in²

Step-by-step explanation:

Hope this helps

Answer:

\(\frac{n+2}{8}\) has a remainder of 7 ⇒ B

Step-by-step explanation:

In m ÷ n = c + \(\frac{r}{n}\) ,

Let us use the facts above to solve the question

∵ \(\frac{n}{8}\) has a remainder of 5

→ Let us find the first number divided by 8 and give a reminder of 5

  that means let the quotient = 1

∵ n = (8 × 1) + 5 = 8 + 5

∴ n = 13

∵ \(\frac{n+x}{8}\) has a remainder of 7

→ Let us find the first number divided by 8 and give a reminder of 7

  that means let the quotient = 1

∵ n + x = (8 × 1) + 7 = 8 + 7

∴ n + x = 15

∵ n = 13

∴ 13 + x = 15

→ Subtract 13 from both sides

∴ 13 -13 + x = 15 - 13

∴ x = 2

∴ \(\frac{n+2}{8}\) has a remainder of 7

Answer:

What is the optimal value of the function y = - ( x - 5)² - 4?(c.y=4)

Step-by-step explanation:

please click the heart and rate excellent and brainleist to

Answer:

x=5

Step-by-step explanation:

the sentimental thing is that Jen's mother is the most common person in a row with

Answer:

x = 11.5

Step-by-step explanation:

Formula

a^2 = b^2 + c^2 - 2*b*c * cos(A)                     Substitute givens in formula

Givens

Solution

a^2 = 31^2 + 26^2 - 2 * 31 * 26 * cos(21)       Find -2*31*26*cos(21)

a^2 = 961 + 676  -1504.93                             Combine

a^2 = 1637 -1504.93                                      Combine again

a^2 = 132.07                                                   Take the √ on both sides

√a^2 = √132.07

a = 11.5 Rounded.

Answer

x = 11.5

Answer:

44 degrees

Step-by-step explanation:

The sides are even so there gonna be the same all around...please give brainlist!

Answer:

Step-by-step explanation:

Equations and solutions

Aisha's answer = 4

Silvio's answer  = 8

Jim's answer = 16

If either Aisha's or Jim's answer is correct then possible equations with same answers are:

Answer:

force = work/distance

force = 900/5

force = 180 N

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\( {3}^{12} \div {3}^{7} = \)

\( {3}^{12} \times {3}^{ - 7} = \)

\( {3}^{12 - 7} = {3}^{5} \)

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Answer:

I think the answer is 243.

Step-by-step explanation:

hope that helps

Answer:

7*2 and then you would go from left to right, 7*2 =14 then it would be 5+14-9, then 19-9=10 and there you go.

Step-by-step explanation:

Answer:

Multiply the 7 and the 2

7 x 2

Step-by-step explanation:

5 + 7 x 2 - 9

PEMDAS

P there are no parentheses

E  there are not exponents

MD  multiply and divide from left to right

5 + 7 x 2 - 9

Answer:

b

Step-by-step explanation:

A correct comparison of sandwich prices based on the histograms is,

More shops charge between $12 and $13 near Main Line University than City College.

A price is the quantity of payment or compensation given by one party to another in return for goods or services. In some situations, the price of production has a different name. If the product is a "good" in the commercial exchange, the payment for this product will likely be called its "price".

Here, we have,

from the given conditions, the correct answer is, More shops charge between $12 and $13 near Main Line University than City College.

Hence,  A correct comparison of sandwich prices based on the histograms is, More shops charge between $12 and $13 near Main Line University than City College.

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Answer:

13a-6b

Step-by-step explanation:

Answer:

13a - 6b

Step-by-step explanation:

combine like terms:

6a+5a-b-5b+2a

combine all the terms with the variable "a"

13a-b-5b

combine all the terms with the variable "b"

13a-6b

In order to find the readout in his bike speedometer, we need to know the approximate value for the conversion between miles and kilometers, then,

then, use conversion factors with the street side sensor,

Answer:

The approximate value shown in his bike speedometer is 18.64 mph

the amount of work required to push a block of 2 kg at \(4 m/s^2\) for 7 meters is 5.715 J.

Work can be explained as the force needed to move an object over a distance. The work done in moving an object is equal to the force multiplied by the distance. The formula for calculating work is as follows

:W = F * d

where, W = work, F = force, and d = distance

The given values are,

Mass of the block, m = 2 kg

Speed of the block, v = 4 m/s

Distance travelled by the block, d = 7 meters

The formula for force is,

F = ma

where F is the force applied, m is the mass of the object and a is the acceleration.

In this case, we can use the formula for work to find the force that was applied, and then use the formula for force to find the acceleration, a. Finally, we can use the acceleration to find the force again, and then use the formula for work to find the amount of work done to move the block.

CalculationUsing the formula for work,

W = F * dF

= W / d

Now, let us find the force applied. Force can be calculated using the formula,

F = m * a

We can find the acceleration using the formula,

a = v^2 / (2d)a

= 4^2 / (2 * 7)

= 0.4082 m/s^2

Substituting the values in the formula,

F = 2 * 0.4082

= 0.8164 N

Now we can use the formula for work to find the amount of work done to move the block.

W = F * d

W = 0.8164 * 7W

\(= 5.715 kg-m^2/s^2\)

This is equivalent to 5.715 J (joules). Therefore, the amount of work required to push a block of 2 kg at \(4 m/s^2\) for 7 meters is 5.715 J. .

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Answer:

49.5 minutes

Step-by-step explanation:

Amount of time that Philip took

= \(\frac{distance}{speed}\)

= \(\frac{66km}{80km/h}\)

= \(0.825h\)

= \(49.5 min\)

For dimensions of x =10 and y=5 for the base and height that will make the tank weight as little as possible.

Here we are given the information of a square-based, open-top, rectangular steel holding tank, so here the tank is in the shape of a cuboid and we know  the formula  for :

volume = x*y*z, as  here it is a square base, so the volume will be

volume =  x²*y, where x and y are the dimension of the base and height

So for the  given reason,  

=>x²*y =  500

=> y = 500/x²

Again, the surface area formula  will be

S=x²+4xy, substituting the value of  y in this question

=>S=x²+4x(500/x²)

=>S=x²+2000/x

Differentiating the above formula with respect to x, we get

=>2x-2000/x²=0

=>2x³= 2000

=>x³= 1000

=>x =10

so the substituting the x values of x in  the equation y , we get

y = 500/x²

=>y = 5

so the dimensions are x= 10 and y=5

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Answer:

  2. 26.2 m

  3. 117.2 cm

Step-by-step explanation:

You want the perimeters of two figures involving that are a composite of parts of circles and parts of rectangles.

The circumference of a circle is given by ...

  C = πd . . . . . where d is the diameter

The length of the semicircle of diameter 12.6 m will be ...

  1/2C = 1/2(π)(12.6 m) = 6.3π m ≈ 19.8 m

The two lighted sides of the rectangle have a total length of ...

  3.2 m + 3.2 m = 6.4 m

The length of the light string is the sum of these values:

  19.8 m + 6.4 m = 26.2 m

The length of the string of lights is about 26.2 meters.

The perimeter of the figure is the sum of four quarter-circles of radius 11.4 cm, and 4 straight edges of length 11.4 cm.

Four quarter-circles total one full circle in length, so we can use the formula for the circumference of a circle:

  C = 2πr

  C = 2π·(11.4 cm) = 22.8π cm ≈ 71.6 cm

The four straight sides total ...

  4 × 11.4 cm = 45.6 cm

The perimeter of the figure is the sum of the lengths of the curved sides and the straight sides:

  71.6 cm + 45.6 cm = 117.2 cm

The design has a perimeter of about 117.2 cm.

__

Additional comment

The bottom 12.6 m edge in the figure of problem 2 is part of the perimeter of the shape, but is not included in the length of the light string.

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