(47.5+45.5+48.5+46.5+47+45+48+46+49)/9

:)

1. We conclude that the conditions for calculating a confidence interval for a mean are satisfied.

2. Since interval was constructed and is reported, we assume that distribution of the sample mean is normal.

Let x be the sample mean

Let s be the sample standard deviation

Let n be the sample size

Let α be the significance level

Let Z be the standard normal distribution value.

To determine if conditions for calculating confidence interval for a mean are met, we have to check the followings:

1. Random sampling:

The sample of 125 workers was selected randomly.

2. Independence:

We assume that each worker's commuting time is independent of each other.

3. Sample size:

n = 125 > 30. This satisfies the condition for the central limit theorem to apply.

4. Normality:

The 95% confidence interval was constructed using the formula x ± Zα/2(s/√n).

Since interval was constructed and is reported, we can assume that the distribution of the sample mean is approximately normal. Therefore, we can conclude that the conditions for calculating a confidence interval for a mean are satisfied.

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Step-by-step explanation:

Convert each fraction by setting up proportion out of 100.

[tex] \frac{60}{90} = \frac{?}{100} [/tex]

[tex] \frac{78}{150} = \frac{?}{100} [/tex]

[tex] \frac{75}{120} = \frac{x}{100} [/tex]

Cross multiply each fraction. let x represent the missing number.

[tex]6000 = 90x[/tex]

[tex]7800 = 150x[/tex]

[tex]7500 = 120x[/tex]

Solve for x

For the first equation.

[tex]x = 66.66666[/tex]

For the second equation

[tex]x = 52[/tex]

For the third equation,

[tex]x = 62.5[/tex]

Round each missing value to the nearest whole value and add the % sign.

60/90=67%

78/150=52%

75/120=63%

He scored the highest on his English test.

Answer:

60

Step-by-step explanation:

Note that angle ZXY is the bisected angle which was split into angle 1 and 2

Also note that bisectors split angles into to separate congruent angles ( So if angle ZXY was bisected into angle 1 and angle 2 then angle 1 = angle 2 )

If angle 2 = 30 then angle 1 also = 30

Like stated multiple times angle ZXY is made up of angle 1 and 2

Hence, Angle ZXY = Angle 1 + Angle 2

Angle ZXY = 30 + 30 = 60

Answer:

10

Step-by-step explanation:

When multiplying numbers of the same base the exponents are added

therefor

n + 10 = 20

n = 10

Answer:

10

Step-by-step explanation:

y^n × y^10 = y^20

y^(n+10) = y^20

n+10 = 20

n = 20-10

n = 10

Answer:

D.

Step-by-step explanation:

Standard Form (Quadratic): [tex]y=ax^2+bx+c[/tex]

Vertex Form (Quadratic): [tex]y=a(x-h)^2+k[/tex]

Intercept Form (Quadratic): [tex]y=a(x-p)(x-q)[/tex]

      p,q are x-intercepts

x-intercepts given in graph: -2,4

[tex]y=a[x-(-2)](x-4)[/tex]

eqn 1: [tex]y=a(x+2)(x-4)[/tex]

Plug in the given point to find 'a' : (3,-5)

[tex]-5=a(3+2)(3-4)[/tex]

[tex]-5=a(5)(-1)[/tex]

[tex]1=a[/tex]

Substitute 'a' in to eqn 1.

[tex]y=1(x+2)(x-4)[/tex]

eqn 2: [tex]y=(x+2)(x-4)[/tex]

Expand eqn 2. (can use FOIL)

[tex]y=x^2-2x-8[/tex]

Answer:

15.6

Step-by-step explanation:

We see a dilation. So the ratio between UT and XW is 2:7.8. That is 1:3.9. If we put 4 in the 1 place, then we get 15.6

Please give brainliest

Hope this helped

Answer:

4c + 5 = R

Step-by-step explanation:

This should help you

Answer:

is B and E. They both equal 81

1.[tex](3x)( {x}^{2} {y}^{3} )[/tex]

= [tex]3 {x}^{3} {y}^{3} [/tex]

2.[tex](5 {a}^{3} b)(2ab)[/tex]

=[tex]10 {a}^{4} {b}^{2} [/tex]

Answer:

B. ) 36-48-60

Step-by-step explanation:

From Pythagoras theorem, we can determine the sides of the triangle by testing the options

a^2 + b^2 = c^2

Then test the options

B. ) 36-48-60

36^2 + 48^2 = 60^2

3600 + 2304 = 3600

3600= 3600

Since both sides have equal values, then OPTIONS B express a correct sides of the triangle

C.) 6-10-14

6^2 + 10^2 = 14^2

36+ 100= 196

136= 196( it doesn't make an equality then it's not the answer

Answer:

[tex]122 - 71 = 51 \\ m < 51[/tex]

Answer:

DBC= 40˚

Step-by-step explanation:

Since we already know what ABC and ABD is we could use these information to get what DBC is.

Since ABD and DBC adds together to sum up to ABC we could use this info to create this equation:

ABD+DBC=ABC

Replace ABD and ABC with the number that it is equal to

71˚+DBC=112˚

Move 71˚ to the other side by subtracting

DBC=112˚-72˚

Which is 40˚

So the answer is 40˚

Hope this helped!

Answer-

a. no

b. yes

c. no

Answer:

13122

Step-by-step explanation:

an = 6 x 3^(n - 1)

n = 8

a8 = 6 x 3^(8 - 1) = 6 x 3^7 = 6 x 2187 = 13122

The above person is Correct, they deserve more Rating

--to brainly staff*     If you delete this answer, something is wrong with this world, im trying to help the people who are unsure about the above answer having a low rating, to tell them that it is the correct answer. Thank you

Answer:

[tex]\$0.41[/tex]

Step-by-step explanation:

Convert millimeters to meters:

[tex]50\:\mathrm{mm}=0.05\:\mathrm{m}[/tex]

At a price of $8.20 per meter, the total price would be [tex]$8.20\cdot 0.05=\boxed{\$0.41}[/tex]

Answer: Hi. The height of the tree is 27 ft

Step-by-step explanation:

Answer link- https://socratic.org/answers/601885

Answer:

It would be 12. Do you need me to explain or are you good?

Step-by-step explanation:

Answer:

6√2

Step-by-step explanation:

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Initial number of users

[tex]N_0=100[/tex] [tex]\text{growth rate=doubles every seven days}[/tex]

[tex]100\% \longrightarrow 7\ days\\\\\frac{100}{100} \longrightarrow 7\ days\\\\1 \longrightarrow 7\ days\\\\[/tex]

When:

[tex]N=N_0\ 2^{rt}\\\\[/tex]

    [tex]=100\times 2^{rt}\\\\=100\times 2^{t\cdot \frac{1}{7}}\\\\=100\times 2^{ \frac{t}{7}}\\\\[/tex]

Checking the value:

After 14 days:

[tex]N=100\times 2^{ \frac{14}{7}}=400\\\\100 \overset{100\ days}{\rightarrow} 200 \overset{7 \ days}{\rightarrow}\ 400[/tex]

Answer:

A. <EKH and <EKF

B. <EKH and <FKG

C. <HKJ and <GKJ

Step-by-step explanation:

A. A linear pair are two adjacent angles that forms a straight line that equals 180°.

<EKH and <EKF is a linear pair

B. A pair of vertical angles are opposite angles formed when two straight lines intersect. They share a common vertex.

<EKH and <FKG

C. Adjacent angles share a common vertex and a common side. The pair of adjacent angles that are not a linear pair will not form a straight line.

<HKJ and <GKJ are adjacent angles that share the same vertex (<K) and the same side (KJ). However they do not form a straight line. Therefore, <HKJ and <GKJ are a pair of adjacent angles that are not a linear pair.

Answer:

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

Step-by-step explanation:

Hope it is helpful...

Answer:

In order to make the maximum profit, the company should sell each widget at (the currency isn't given, so I'll be assuming USD) $36.

Step-by-step explanation:

The amount of profit y made by the company from selling each widget at x price is modeled by the equation:

[tex]y=-x^2+72x-458[/tex]

Since this is a quadratic with a negative leading coefficient, its maximum will occur at its vertex point. We want to find the price that the widget should be sold to make the maximum profit. So, we want to find the x-coordinate of the vertex. This is given by the formula:

[tex]\displaystyle x=-\frac{b}{2a}[/tex]

In this case, a = -1, b = 72, and c = -458. Substitute and evaluate:

[tex]\displaystyle x=-\frac{72}{2(-1)}=36[/tex]

In order to make the maximum profit, the company should sell each widget at (the currency isn't given, so I'll be assuming USD) $36.

Answer: 0.4%

Step-by-step explanation:

First, a porportion needs to be set up.

part/whole = percent/100

28/7,000 = x/100

Second, cross multiply.

2800=7,000x

x=0.4

Answer:

approximately 1,925,000

Step-by-step explanation:

700,000 * 0.07 = 49,000    this would be the growing rate per year.

49,000 * 1,225,000    this would be the population grown in 25 years.

700,000 + 1,225,000 = 1,925000    this would be the total population that was in the city and the population that has grown in the 25 years.

Hope this helps

Answer:

B. y= -3x2 + 3

Step-by-step explanation:

y= -3^2+3

The given equations has a graph that crosses the y-axis at a point lower than the graph is option (C) is correct.

To find the equation/

Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power. The quadratic formula to solve a quadratic equation ax2 + bx + c = 0 is x = [-b ± √(b2 - 4ac)]/2a.

Given that:

By definition, the graph of Quadratic function is a parabola.

The Standard form of a Quadratic function is the following:

[tex]f(x)=ax^{2} +bx+c[/tex]

Where "a", "b" and "c" are real numbers (a≠0)

It is important to remember that if the value of the leading coefficient "a" is larger, then the parabola will be narrower.

So, given the following Quadratic equation:

[tex]y=-2x^{2} -1[/tex]

You can identify that:

IaI=2

Therefore, the equation that has a graph that crosses the y-axis at a point lower than the graph, must have a leading coefficient larger than 2.

[tex]y=-3x^{2} +1[/tex]

Where:

IaI=3

Notice that:

3>2

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Answer:

6*4+8=32

Step-by-step explanation:

32-8=24

24/6=4

so 6*4=24

24+8=32

6x+8=32

6x+8-8=32-8

6x=24

6x÷6=24÷6

X=4

Answer is 4

Might be a bit confusing but hope that helps :)

Answer: a. 13120

b. 4100

c. 1025

d. 3280

Step-by-step explanation:

(a) find the costs price of the fridge

Since the cash price is 20% less the hire purchase price, then the cost of the fridge will be:

= (100% - 20%) × 16400

= 80% × 16400

= 0.8 × 16400

= 13120

(b) calculate the deposit

Since 25% is paid as deposit, the deposit will be:

= 25% × 16400

= 0.25 × 16400

= 4100

(c) what is the monthly installments

Monthly installments will be:

= (16400 - 4100)/12

= 12300/12

= 1025

(d) what is the differences between the cash price and the hire purchase price.

This will be:

Hire purchase price = 16400

Cash price = 13120

= 16400 - 13120

= 3280

Answer:

3

Step-by-step explanation:

tan 60 = root(3)

tan² 60 = {root (3)}²

tan² 60 = 3

Given:

The sequence is:

[tex]-3,5,13,21...[/tex]

To find:

The explicit formula for the given sequence then find the 47th term.

Solution:

We have,

[tex]-3,5,13,21...[/tex]

The difference between two consecutive terms are:

[tex]5-(-3)=8[/tex]

[tex]13-5=8[/tex]

[tex]21-13=8[/tex]

The given sequence has a common difference. So, the given sequence is an arithmetic sequence with first term -3 and common difference 8.

The explicit formula for an arithmetic sequence is:

[tex]a_n=a+(n-1)d[/tex]

Where, a is the first term and d is the common difference.

Putting [tex]a=-3[/tex] and [tex]d=8[/tex] in the above formula, we get

[tex]a_n=-3+(n-1)8[/tex]

[tex]a_n=-3+8n-8[/tex]

[tex]a_n=8n-11[/tex]

Putting [tex]n=47[/tex], we get

[tex]a_{47}=8(47)-11[/tex]

[tex]a_{47}=376-11[/tex]

[tex]a_{47}=365[/tex]

Therefore, the explicit formula for the given sequence is [tex]a_n=8n-11[/tex] and the 47th term is 365.

You want all of the answers or just one?

Answer:

Step-by-step explanation:

opposite sides of a parallelogram are equal . So,

NM = OL

2x + 5 = x + 10

2x - x = 10 - 5

x = 5

substitute the value of x

NM = 2x + 5

=2*5 + 5

=15

for NO also substitute 5 inplace of x

Answer:

4.2 x 10^5 = 420,000

5.3 x 10^5  = 530.000

Step-by-step explanation: