Please answer this correctly without making mistakes

Answer: ($19.8, $20.8)

Step-by-step explanation:

Confidence interval for mean : [tex]\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}[/tex] , where [tex]\overline{x}[/tex] = Sample mean, n= sample size, [tex]\sigma[/tex] = population standard deviation, z* = two tailed critical z-value.

Given:  [tex]\overline{x}[/tex] = $20.3

n= 2333

[tex]\sigma[/tex] = $11.3

For  98% confidence,  z* = 2.326

Then, the98% confidence interval for population mean will be:

[tex]20.3\pm (2.326)\dfrac{11.3}{\sqrt{2333}}\\\\=20.3\pm (2.326)\dfrac{11.3}{48.3011387}\\\\=20.3\pm (0.544165224825)\\\\\approx 20.3\pm 0.5\\\\=(20.3-0.5,\ 20.3+0.5)\\\\=(19.8,20.8)[/tex]

Hence,  the 98% confidence interval for the mean per capita income in thousands of dollars = (19.8, 20.8)

Answer:

non - collinear points

Step-by-step explanation:

points that dont lie on the same line

Answer:

4(2x-3)

Step-by-step explanation:

Answer:

4 x (2x-3)

I hope it helps

Pls mark as Brainliest

Answer:

96-49=47

Step-by-step explanation:

he goes down then up so 47

Answer:

-47

Step-by-step explanation:

-96 + 49

-47

Answer:

x = 2

Step-by-step explanation:

First translate the image into an equation using the key. Once you do that, your equation should look like this:

(x + x + x) + (-1 + -1 + -1 + -1 + -1) = (-x + -x) + (1 + 1 + 1 + 1 + 1)

________________________________

3x - 5 = -2x + 5

(given)

________________________________

3x - 5 = -2x + 5

+5. +5

(addition property of equality)

*cancel out -5 on the left hand side, and isolate it from x by adding +5 on each side*

__________________________

3x = -2x + 10

+2x +2x

(addition property of equality)

*cancel out the negative 2x, and isolate it from the constant term on the right hand side by adding 2x on both sides*

________________________________

5x = 10

÷5. ÷5

(division property of equality)

*divide by 5(GCF) on both sides to isolate

x by itself*

________________________________

x = 2

________________________________

If you want to test this solution, substitute this back into the equation.

x = 2 → 3x - 5 = -2x + 5. 3(2) - 5 = -2(2) + 5 = 6 - 5 = -4 + 5 = 1 = 1

Answer:

4.5

Step-by-step explanation:

I did 45/1 I and it's 45 then 45/10

Answer:

(4 + u)(16 – 4u + u2)

Step-by-step explanation:

64 + u3.

= 43 + u3.

= (4 + u)(42 – 4.u + u2).

= (4 + u)(16 – 4u + u2).

Answer:

78 people were on the boat to begin with.

Step-by-step explanation:

Moving backwards is the way to solve this question.

74 - 22 = 52

52 + 26 = 78

And to prove the answer is correct.....

78 - 26 = 52

52 + 22 = 74

4 liters of 20% solution are needed to get a 14% solution.

Suppose x liters of 20% solution is needed to get a 14% solution.

The solution is a homogenous mixture of two or more substances in relative amounts.

So, according to the question

Final concentration of solution = 14%

So, 12% of 12  + 20% of x = 14% of (12+x)

12*12/100 + 20*x/100 = 14*(12+x)/100

144 + 20x = 168 + 14x

6x =24

x=4

4 liters of 20% solution is needed to get a 14% solution.

Therefore, 4 liters of 20% solution is needed to get a 14% solution.

To get more about mixtures and alligations visit:

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Answer:

y = -3x - 8

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

slope m = -3

y-intercept = -8

Step 2: Plug into equation

y = -3x - 8

Answer: 1) 500, 000

2) Five hundred thousand

3) [tex]5\times10^5[/tex]

Step-by-step explanation:

To express: 5 of 100, 000 in three expressions (First - number. second - word , third - scientific )

5 of 100, 000 = 5 x 100, 000 = 500, 000

In word - Five hundred thousand [ as place value of 5 =  hundred thousand]

In scientific notation, [tex]500, 000=5\times10^5[/tex]

Hence, the required expressions:

1) 500, 000

2) Five hundred thousand

3) [tex]5\times10^5[/tex]

Answer:

21 squares

Step-by-step explanation:

1 = 1

2 = 3

3 = 6

The pattern follows squares use in the previous stage + new stage = squares use the new stage

Squares used in stage 2 = Squares used in stage 1 + stage 2

= 1 + 2

= 3 squares

Squares used in stage 3 = Squares used in stage 2 + stage 3

= 3 + 3

= 6 squares

Squares used in stage 4 = Squares used in stage 3 + stage 4

= 6 + 4

= 10 squares

Squares used in stage 5 = Squares used in stage 4 + stage 5

= 10 + 5

= 15 squares

Squares used in stage 6 = Squares used in stage 5 + stage 6

= 15 + 6

= 21 squares

4 = 10

5 = 15

6 = 21

Answer:2n+2

Step-by-step explanation:

Answer: B. Joel

hope this helps :}

Answer:

$90 left after 20 days

Step-by-step explanation:

She starts out with 150, right?

She spends $3 each day x 20 days = 60

150 - 60 = 90

Hope this helps! :')

Answer:

multiply 3.00 times 20 and you'll get 60.00 subtract that from 150 and your answer is 90.00 dollars

Sum of two angles that are supplementary = 180°

Ratios in which they have been given their measurement = 1 : 3

Total number of parts = 1 + 3 = 4

Each part = 180÷4 =

[tex]Each \: part = \: \frac{180}{4} [/tex]

Each part = 45°

Measure of smaller angle = 45 × 1 = 45°

[tex]Measure \: of \ \: the \: smaller \: angle \: = \: 45 \: × \: 1 \: = \: 45°[/tex]

[tex]Measure \: of \: \: the \: larger \: angle \: = \: 3 \: × \: 45 \: = \: 145° \: [/tex]

∴ The measure of the larger angle in degrees = 145° .

9514 1404 393

Answer:

Step-by-step explanation:

When the equation of a line is given in slope-intercept form, as this one is, it is usually convenient to make use of those values (intercept and slope).

Here, the y-intercept is 6. The slope is -4/9, which means the line goes down 4 units for each 9 units to the right.

The y-intercept is graphed at (0, 6). An additional point can be graphed at (9, 2). Then the line can be drawn through these points.

Answer:

it will be 199.00 dollors you have to spend

Step-by-step explanation:

899.00-70

Answer:

937.333

Step-by-step explanation:

Answer:

937.33 (rounded. Real answer: 937.333333)

Step-by-step explanation:

5,624 ÷ 6 = 937.33 (rounded since the real answer was: 937.333333)

Answer:12:8 or 12 to 8 or u could do it in fraction form

Answer:

decreasing, then increasing. the parabola decreases as it approaches the vertex, then increases afterward

Answer:

18 meters per second

Step-by-step explanation:

414/23=18

Not trying to be rude but you should know how to do this with or without a calculator

Answer: y= -2x + 12

or f (y ) = 6 - [tex]\frac{y}{2}[/tex]

Step-by-step explanation:

just subtract the 2x to get the y alone

Answer: 216 diving students to 12 instructors = 18 students per instructor.

Step-by-step explanation:

Answer:

140 ft.

Step-by-step explanation:

first find the area of the rectangle

16 x 8 = 128

Area: 128

then find the area of the triangle

Base: 4

Height: 6

Area: 12

Then all u need to do is add

12 + 128 = 140

Answer:

78936000 possible selections

Step-by-step explanation:

Given

Letters = 5

Digits = 1

Required

Possible number of selection.

Since the letters can't be repeated and there are 26 alphabets.

The first letter can be any of 26

The second = 25

The third = 24

The fourth = 23

The fifth = 22

The digit can be any of 0 - 9 (10 digits).

So.

The possible number of selection is.

Number = 26 * 25 * 24 * 23 * 22 * 10

Number = 78936000

Answer:

9.5

Step-by-step explanation:

here's my work

An expression is defined as a set of numbers, variables, and mathematical operations. The solution for the expression  39 ÷ (2 + 1) - 2 × (4 + 1) is 3.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Using the rule of BODMAS the solution for the expression  39 ÷ (2 + 1) - 2 × (4 + 1) is,

39 ÷ (2 + 1) - 2 × (4 + 1)

=  39 ÷ (3) - 2 × (5)

= 13 - 2  × (5)

= 13 - 10

= 3

Hence, the solution for the expression  39 ÷ (2 + 1) - 2 × (4 + 1) is 3.

Learn more about Expression:

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Answer:

c

Step-by-step explanation

7x3=21

125-34=91

91+21=112