First, I add 1. Then, I multiply by 2. Next, I divide by 3. As a result, I get 4. What is my starting number?

Answer:

[tex]120-2.614\frac{5}{\sqrt{130}}=118.85[/tex]    

[tex]120+2.614\frac{5}{\sqrt{130}}=121.15[/tex]    

Step-by-step explanation:

Information given

[tex]\bar X= 120[/tex] represent the sample mean

[tex]\mu[/tex] population mean (variable of interest)

s=5 represent the sample standard deviation

n=130 represent the sample size  

For this case we can't set a margin of error just with a % since they not specify 1.13% respect to something for this case we can omit this value

Confidence interval

The confidence interval for the mean is given by the following formula:

[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex]   (1)

The degrees of freedom are given by:

[tex]df=n-1=130-1=129[/tex]

The Confidence level is 0.99 or 99%, the significance would be [tex]\alpha=0.01[/tex] and [tex]\alpha/2 =0.005[/tex], and the critical value would be [tex]t_{\alpha/2}=2.614[/tex]

And replacing we got:

[tex]120-2.614\frac{5}{\sqrt{130}}=118.85[/tex]    

[tex]120+2.614\frac{5}{\sqrt{130}}=121.15[/tex]    

Answer:

7 3/13

Step-by-step explanation:

34x-21x= 9+85

13x=94

x= 94/13

x=7 3/13

Answer:

x²+6

Step-by-step explanation:

Let the number be x

⇒ Multiplying it by itself makes x × x = x²

⇒ Adding 6 makes it x²+6

Answer:

[tex] {x}^{2} + 6[/tex]

Step-by-step explanation:

thinked number = x

multiply by itself = x *x

[tex]x \times x \\ = {x}^{2} [/tex]

add 6 =+6

[tex] {x}^{2} + 6[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:  c

Step-by-step explanation:

When multiplying matrices, multiply ACROSS with the left matrix and DOWN with the right matrix.

[tex]\text{Example}:\left[\begin{array}{cc}a&b\\c&d\end{array}\right] \times \left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}ax+by\\cx+dy\\\end{array}\right][/tex]

[tex]\left[\begin{array}{cc}5&2\\3&-1\end{array}\right] \times \left[\begin{array}{c}2\\3\end{array}\right] =\left[\begin{array}{c}5(2)+2(3)\\3(2)-1(3)\\\end{array}\right] = \left[\begin{array}{c}16\\3\end{array}\right][/tex]

Answer:

3/14

Step-by-step explanation:

Express the beds as a fraction of the total output.

Beds = 15

Total output = 30 + 25 + 15 = 70

Proportion that is beds = 15/70

15/70 = 3/14

Answer:

x=2 and x= -8

Answer:

A

Step-by-step explanation:

Given

a = [tex]\frac{b+c}{d}[/tex] ( multiply both sides by d to clear the fraction )

ad = b + c ( subtract b from both sides )

ad - b = c → A

Answer:

-9x²+6

Step-by-step explanation:

f(x)=3x^2-2

g(x)=(-3) x f (x)

Answer:

Third angle = 70 degrees

tan (70) = 10 / x

x = 10 / tan (70)

x = 10 / 2.7475

x = 3.6396724295

x = 3.6 cm (rounded)

Step-by-step explanation:

Answer:

[tex]\angle FMG=60^{\circ}[/tex]

Step-by-step explanation:

Given: [tex]\angle EMG=120^{\circ}\,,\,\angle EMF=60^{\circ}[/tex]

To find: [tex]\angle FMG[/tex]

Solution:

A trapezoid is a quadrilateral in which one pair of opposite sides is parallel. A trapezoid in which opposite angles are supplementary is known as an isosceles trapezoid. In any isosceles trapezoid, two opposite sides are parallel, and the two other sides are equal to each other.

Consider the figure:

[tex]\angle FMG=\angle EMG-\angle EMF\\=120^{\circ}-60^{\circ}\\=60^{\circ}[/tex]

Answer:

B) 2

Step-by-step explanation:

f(x) = 3x - 6

0 = 3x - 6

3x = 6

x = 2

Answer:

(f-g)(x)=-x^(2)+2x+8

the solutions are:

x=4 or x=-2

Step-by-step explanation:

(f-g)(x)=2x+1-(x^(2)-7)

(f-g)(x)=-x^(2)+2x+1+7

(f-g)(x)=-x^(2)+2x+8

does this help or should I solve for the zeros/solutions of this quadratic equation?

then:

-x^(2)+2x+8=0

-(x^(2)-2x-8)=0

x^(2)-2x-8=0

(x-4)(x+2)=0

x=4 or x=-2

Answer:

The required answer is: -x^2+2x+8

Step-by-step explanation:

We have been given the two function:

f(x)=2x+1

And g(x)=x^2-7

We have to find (f-g)(x):

(f-g)(x)=f(x)-g(x)

(2x+1)-(x^2-7)

2x+1-x^2+7

-x^2+2x+8

Hence, the required answer is: -x^2+2x+8

Answer:

[tex]8.11[/tex]

Step-by-step explanation:

Rounded to nearest hundredth.

After Round to the nearest hundredth value of number is,

⇒ 8.11

We have to given that;

A number is,

⇒ 8.113

And, We an Round to the nearest hundredth.

Since, Rounding numbers refers to changing a number's digits such that it approximates a value.

Here, In number 8.113,

Digit in thousandth place is 3 which is less thn 5.

Hence, After Round to the nearest hundredth value of number is,

⇒ 8.11

Learn more about the rounding number visit:

brainly.com/question/27207159

#SPJ6

The answer is < RQO and < STV

Hope it helps

Good luck on your assignment ..

Answer:

Part A: x⁴ + x³ + x²

Part B: (4·x + 2) + (-5·x + 6) = -x + 8

Step-by-step explanation:

Part A:

We note that standard form means that the terms of the polynomial are arranged in order starting from the the largest exponential of the polynomial to the smallest exponent

Therefore, we have

x⁴ + x³ + x² is a fourth-degree polynomial with three terms in standard form

It is known that the above polynomial is in standard form based on its ordered arrangement from the largest exponential to the smallest exponential

Part B:

Polynomial are closed under addition, that is when two polynomials are added only the coefficients change as the exponents and variables remain unchanged as follows;

(4·x + 2) + (-5·x + 6)

= 4·x + 2 - 5·x + 6

= 4·x - 5·x + 2 + 6

= -x + 8 which is a polynomial with the same variable and exponent.

Answer:

Commission = $76.25

Gross wage = $301.25

Step-by-step explanation:

First, we know her commission is 5% of her sales which means the commission she will receive is;

5% * $1525

[tex]\frac{5}{100} * 1525[/tex]

= $76.25

∴ Her total wage for the week will be;

$225 + $76.25

= $301.25

Answer:

80 kg

Step-by-step explanation:

[tex]x \times (1+10/100)=88[/tex]

[tex]1.1x=88[/tex]

[tex]x=88/1.1[/tex]

[tex]x=80[/tex]

Answer:

3

Step-by-step explanation:

The slope of a line can be found by dividing the amount that the line "rises" over a certain amount of "run". In this case, the line rises 6 units while moving 2 units to the right. 6/2=3, meaning that the slope of this line is 3. Hope this helps!

Answer:

D

Step-by-step explanation:

Here, we want to know the total amount of money shared

Total ratio is 2 + 4 + 9 = 15

Now, John and Peter with ratios 2 and 4 equals $360

If we combine their ratios, what we have would be

6:9

Let the amount shared be x

Now, mathematically

6/15 * x = 360

6x = 15 * 360

x = (15 * 360)/6

x = $900

Answer:

the answer is g (x)=2x2

Answer:g(x)= -1/2x2

Step-by-step explanation:

This is the correct answer just took the quiz

Answer:

Step-by-step explanation:

real zeros -----> where f(x) = 0

[tex]-2x^{2} - 6x - 1 = 0\\[/tex] * (-1)

[tex]2x^{2} + 6x + 1 = 0\\[/tex]

Δ = [tex]6^{2} - 4 * 2 * 1[/tex] = 36 - 8 = 28

vΔ = 2[tex]\sqrt{7}[/tex]

x' = [tex]\frac{-6 + 2\sqrt{7} }{2 * 2} = \frac{-6 +2\sqrt{7} }4}[/tex]

x'' = [tex]\frac{-6 - 2\sqrt{7} }{2 * 2} = \frac{-6 -2\sqrt{7} }4}[/tex]

[tex]the \: answer \: is \: one \\ explanation \\ there \: is \: only \: one \: such \: plane \: which \: \\ will \: have \: these \: two \: points. \: these \\ two \: points \: will \: satisfy \: only \: one \: pl - \\ ane \: equation \: because \: they \: doesnot \\ lie \: in \: a \: single \: line. \\ hope \: it \: helps[/tex]

Answer:

c

Step-by-step explanation:

one

All real numbers because any value of x works

Answer:

f(x)= 5x+2

Step-by-step explanation:

Slope is 5, y intercept is (0,2)

Answer:

work is pictured and shown

Answer:

Quinn did not make a mistake. This is because everything she did is correct and also if we calculate the expression without doing anything she did, we see that she has the right answer.

Answer:

she didn't make any mistake

Step-by-step explanation:

She has expressed it correctly and if we calculate, the multiplication is also correct

Answer:

c

Step-by-step explanation:

We see that for x≤2 y = x + 2 so the answer is C.

Answer: 180 houses

Step-by-step explanation:

From the question, we are informed that in a village the number of houses and the number of flats are in the ratio 9:5 while the number of flats and the number of bungalows are in the ratio 10:3 and that there are 30 bungalows in the village.

Since the ratio of the number of flats and the number of bungalows are in the ratio 10:3 and there are 30 bungalows in the village, the number of flats will be:

= 10/3 × 30

= 10 × 10

= 100 flats

Since we are told that the ratio of the number of houses to the number of flats are in the ratio 9:5 and we've gotten the number of flats as 100, then the number of houses will be:

= 9/5 × 100

= 9 × 20

= 180 houses

Answer:

The percent of 18 out of 60 is 30%

Step-by-step explanation: If you multiply 18/60 x 100% the answer will equal to 30%.

Hope this helps :)

Answer:

Given

Hope it helps

Step-by-step explanation:

Pressure is the force per unit perpendicular area over which the force is applied

p=F/A

Where f is force and a is area

So P

= F/A

= 76N / 0.049m2

= (76/0.049) Nm2

= 76000/49

= 1551.02

Or 1551 N/m2