Answer:
x = -5/4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
-4x = 5
Step 2: Solve for x
[Division Property of Equality] Divide -4 on both sides: -4x/-4 = 5/-4Simplify: x = -5/4Answer:
x = -5/4
Step-by-step explanation:
-4x = 5
Divide both sides by -4
x = -5/4
I need help pls! optional to give an explanation to help me understand :)
Answer:
(-4, 2)
Step-by-step explanation:
this is a simultaneous equation;
solving by substitution method, we have;
since y= ¼x + 3 and the same y= 2x + 10
therefore we combine both equations;
¼x + 3= 2x+10
3-10=2x-¼x
to clear out fraction, multiply throughout by 4
-28= 8x-x
-28= 7x
x= -28/7
x= -4
since x is -4, therefore All we have to do is to substitute x into y, doing this, we have;
y=2x+10
y= 2(-4) + 10
y= -8 + 10
y= 2
therefore y= 2 and x= -4
so the values are (-4, 2)
if you still don't understand, check your NGM SS2 textbook or make a comment and I will explain better
A Survey of 85 company employees shows that the mean length of the Christmas vacation was 4.5 days, with a standard deviation of 1.2 days. Construct a 95% confidence interval for the population's mean length of vacation. ( , ) Round your answer to two decimal digits Construct a 92% confidence interval for the population's mean length of vacation. ( , ) Round your answer to two decimal digits
Answer:
The 95% confidence interval for the population's mean length of vacation, in days, is (4.24, 4.76).
The 92% confidence interval for the population's mean length of vacation, in days, is (4.27, 4.73).
Step-by-step explanation:
We have the standard deviations for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 85 - 1 = 84
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 84 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.989.
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.989\frac{1.2}{\sqrt{85}} = 0.26[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 4.5 - 0.26 = 4.24 days
The upper end of the interval is the sample mean added to M. So it is 4.5 + 0.26 = 4.76 days
The 95% confidence interval for the population's mean length of vacation, in days, is (4.24, 4.76).
92% confidence interval:
Following the sample logic, the critical value is 1.772. So
[tex]M = T\frac{s}{\sqrt{n}} = 1.772\frac{1.2}{\sqrt{85}} = 0.23[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 4.5 - 0.23 = 4.27 days
The upper end of the interval is the sample mean added to M. So it is 4.5 + 0.23 = 4.73 days
The 92% confidence interval for the population's mean length of vacation, in days, is (4.27, 4.73).
23 and 25
how do you do the work?
find the areas of each
9514 1404 393
Answer:
23) 35.77 in²
25) 48.19 cm²
Step-by-step explanation:
Use the appropriate area formula with the given information.
__
23) The area of a triangle is given by the formula ...
A = 1/2bh . . . . . base b, height h
A = 1/2(9.8 in)(7.3 in) = 35.77 in²
__
25) The area of a parallelogram is given by the formula ...
A = bh . . . . . . base b, height h
A = (7.9 cm)(6.1 cm) = 48.19 cm²
_____
The height in each figure is measured perpendicular to the base. This tells you that the length 10.6 cm of the diagonal side of the triangle is not relevant to finding the area.
Answer:
23) 35.77 in2
24) 48.19cm2
Solve.
–51/2 + 63/4 + (-41/4)
Answer:
-20
Step-by-step explanation:
cause i did the math hope this helped :D
I used a calculator, the answer is
-20
A cheery tree is 6 feet tall. A palm is 3 times as tall as the cherry tree. Which model represents this problum
Answer: Bottom left
Step-by-step explanation:
Answer:
Bottom Left
Step-by-step explanation:
Im near 100% sure if im wrong im very sorry
(2.8•10^8)(1.9•10^4)
Answer: 5.32 × 10^12
Step-by-step explanation:
This is a question relating to indices. In indices, we add the power given for question relating to multiplication. Hence, this will be:
= (2.8•10^8)(1.9•10^4)
= (2.8 × 1.9) × 10^8+4
= 5.32 × 10^12
Therefore, the answer to the question will be 5.32 × 10^12.
Find sin S, sin R,cos S, and cos R.
Answer:
sin S = 9/13
sin R= 8/13
cos S= 8/13
cos R= 9/13
if you borrow 900 dollars for 6 years at an annual interest rate of 7% how much will you pay all together
Answer:
$963
Step-by-step explanation:
900 times 1.07=963
two thousand twelve and thirty-two thousandths in standard form
Answer:
2012.032
Step-by-step explanation:
2012.032
Which distribution is positively skewed?
Answer:
It’s C
Step-by-step explanation:
When the outlier is on the right of the rest then it’s going to be positively skewed
The following is a linear programming formulation of a labor planning problem. There are four overlapping shifts, and management must decide how many employees to schedule to start work on each shift. The objective is to minimize the total number of employees required while the constraints stipulate how many employees are required at each time of day. The variables X1 - X4 represent the number of employees starting work on each shift (shift 1 through shift 4).
MIN X1 + X2 + X3 + X4
s.t. X1 + X4 ≥ 12 ........(on duty during shift 1)
X1 + X2 ≥ 15 ........(on duty during shift 2)
X2 + X3 ≥ 16 ........(on duty during shift 3)
X3 + X4 ≥ 14 ........(on duty during shift 4)
X1, X2, X3, and X4 ≥ 0
Given the optimal solution: X1* = 13, X2* = 2, X3* = 14, X4* = 0, how many workers would be assigned to shift 2?
a. 13
b. 12
c. 14
d. 15
e. 2
Answer:
d. 15
Step-by-step explanation:
Putting the values in the shift 2 function
X1 + X2 ≥ 15
where x1= 13, and x2=2
13+12≥ 15
15≥ 15
At least 15 workers must be assigned to the shift 2.
The LP model questions require that the constraints are satisfied.
The constraint for the shift 2 is that the number of workers must be equal or greater than 15
This can be solved using other constraint functions e.g
Putting X4= 0 in
X1 + X4 ≥ 12
gives
X1 ≥ 12
Now Putting the value X1 ≥ 12 in shift 2 constraint
X1 + X2 ≥ 15
12+ 2≥ 15
14 ≥ 15
this does not satisfy the condition so this is wrong.
Now from
X2 + X3 ≥ 16
Putting X3= 14
X2 + 14 ≥ 16
gives
X2 ≥ 2
Putting these in the shift 2
X1 + X2 ≥ 15
13+2 ≥ 15
15 ≥ 15
Which gives the same result as above.
Is the equation a linear function?
y = -x + 3 +
In the figure below, j || n. Find the values of y and x.
Find the area of each circle. Round to the nearest tenth. Use 3.14 for π.
Answer:
1. 490.6 mm²
2. 14.1 ft²
Step-by-step explanation:
1. 3.14×(12.5)²= 3.14 × 156.25 =490.6mm²
2. ½×3.14×3²= 3.14×4.5= 14.1 ft²
at party the pumpkin pie is cut into 14 slices and the cherry pies cut into seven slices if the host wants to serve identical plates that contained the same combination of pumpkin and Cherry sizes with no slices leftover what is the greatest number of plates the host can prepare
Answer:
The host can only prepare 7 plates
Step-by-step explanation:
7 plates, each will contain 1 slice of cherry pie and 2 slices of pumpkin pie. (14/7 = 2)
Aaron's bedroom is in the shape of a rectangular prism. The bedroom measures 10 feet by 14 feet by 8 feet. How many cubic feet of space does the room contain?
The formula for the area of a rectangular room is width x length, as shown in the figure below: This is the equation used in our square footage calculator as well.
Find the zeros
[tex]x^3+8x^2-20x+48[/tex]
Answer:
Graph each side of the equation. The solution is the x-value of the point of intersection.
x≈−10.37392996
Step-by-step explanation:
In Buenos Aires, the average daily high temperature temperature in a year is reported to be 18.2^{\circ}\text{C}18.2 ∘ C18, point, 2, degrees, start text, C, end text. Catalina believes that last year was warmer than usual. In order to test her belief, she takes a simple random sample of 202020 days from last year, and records the daily high temperature on each chosen day. She finds that the sample mean temperature is 19.1^{\circ}\text{C}19.1 ∘ C19, point, 1, degrees, start text, C, end text and the sample standard deviation is 7.9^{\circ}\text{C}7.9 ∘ C7, point, 9, degrees, start text, C, end text. Catalina wants to use these sample data to conduct a ttt test on the mean. Assume that all conditions for inference have been met.
Answer:
H 0
:μ=18.2 ∘ C
H a
:μ>18.2 ∘ C
Step-by-step explanation:
Khan............... The null hypothesis has a statement of equality, and the direction of alternative hypothesis (>)(>)left parenthesis, is greater than, right parenthesis matches her belief that last year was warmer.
The three conditions for hypothesis testing are approximately met, and the null hypothesis is that the population mean daily high temperature in Buenos Aires is 18.2∘C.
What is hypothesis testing?Hypothesis Testing is a type of statistical analysis in which you put your assumptions about a population parameter to the test. It is used to estimate the relationship between 2 statistical variables.
here, we have,
The three conditions for hypothesis testing are approximately met based on the information given.
Null hypothesis (H0) is that the population mean daily high temperature in Buenos Aires is 18.2∘C. Alternative hypothesis (Ha) is that the population mean daily high temperature in Buenos Aires is greater.
The test statistic is calculated as (sample mean - population mean) / (sample standard deviation / sqrt(sample size)).
The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed test statistic, assuming the null hypothesis is true. It can be calculated using a t-distribution with degrees of freedom equal to the sample size minus one.
To learn more about hypothesis testing please click on below link.
brainly.com/question/29607047
#SPJ3
Over what interval(s) is the function decreasing?
A)
-∞ < x < ∞
B)
- ∞ < x < 5
C)
5
D)
never
Answer:
A and BStep-by-step explanation:
C isnt an interval and the function is always decreasing
10
TIME REMAINING
53:49
Which polynomial function has a leading coefficient of 1 and roots (7 + i) and (5-1) with multiplicity 1?
Of(x) = (x + 7)(x-7)(x + 5)(x + 1)
Of(x) = (x-7)(x-7)(x - 5)(x + 1)
Of(x) = (x-(7-1)(x-(5 + 1)(x-(7 + 1)(x-(5-))
Of(x) = (x + (7-1)(x + (5 + 1)(x + (7 + 1)(x + (5 - ))
Mark this and retum
Save and Exit
Next
Submit
Answer:
(7 - i) and (5 + i) with multiplicity 1 are also roots of this polynomial. The complete set of roots are: Therefore the polynomial is: The correct choice is C
What is the volume of this shape in terms of π (PI)?
Answer:
Step-by-step explanation:
1/3 bh=96 pi/3=32 pi
Answer:
[tex]\displaystyle V = 32\pi \ in^3[/tex]
General Formulas and Concepts:
Symbols
π (pi) ≈ 3.14Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cone Formula: [tex]\displaystyle V = \frac{1}{3} \pi r^2h[/tex]
r is radiush is heightStep-by-step explanation:
Step 1: Define
Identify
r = 4 in
h = 6 in
Step 2: Find Volume
Substitute in variables [Volume of a Cone Formula]: [tex]\displaystyle V = \frac{1}{3} \pi (4 \ in)^2(6 \ in)[/tex]Evaluate exponents: [tex]\displaystyle V = \frac{1}{3} \pi (16 \ in^2)(6 \ in)[/tex]Multiply: [tex]\displaystyle V = \frac{1}{3} \pi (96 \ in^3)[/tex]Multiply: [tex]\displaystyle V = 32\pi \ in^3[/tex]
4. Your best friend's birthday is tomorrow, and you would like to give her an ice cream cone
balloon. The spherical shaped ice cream on top of the cone has a radius of 6 inches. The cone
itself has a diameter of 12 inches and height of 24 inches. How many cubic inches of helium are
nded to fill the entire ice cream cone balloon? Use 3.14 for it.
Answer:
1808.64 IN^3
Step-by-step explanation:
Helium needed = volume of spherical shaped ice cream + volume of cone
Volume of a sphere = 4/3 x pi x r^3
4/3 x 3.14 x 6^3 = 904.32 ft^3
Volume of a cone 1/3 x (nr^2h)
n = 22/7
r = radius = 12/2 = 6
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
h = height
1/3 x 3.14 x 6^2 x 24 = 904.32
helium needed = 2 x 904.32 = 1808.64 in^3
Maria has a jewelry box and wants to increase its size. She finds one with four times the length, width, and height. How many times bigger will the volume of the box be?
Answer:
64 times bigger
Step-by-step explanation:
I will use random values for this explanation to make it more understandable.
Lets say the length of the box is 1 inch, width is 1 inch, and height is 1 inch.
The volume would be l*w*h = 1*1*1 = 1 cubic inch
If the dimensions were 4 times bigger, the length, width and height would all be 4 inches.
4*4*4 = 64 cubic inches, which is 64 times bigger than the smaller box with a volume of 1 cubic inch.
Hope this answer helped! :)
(Worth 10 points)
Please actually answer this question
Answer:
i belive the correct awnser is A
Step-by-step explanation:
9514 1404 393
Answer:
A figure 1
Step-by-step explanation:
The given equation is in slope-intercept form:
y = mx + b . . . . . . where m is the slope and b is the y-intercept
The slope and y-intercept in your equation are both 2. That means the graph crosses the y-axis at y=2 (above the x-axis), and has a positive slope (goes up to the right.
The two top graphs, figures 1 and 2, show lines with positive slope. Only figure 1 shows a graph with positive slope and a positive y-intercept.
what is the volume of a rectangular prism with a length of 4 a width of 6 and a height of 2?
Answer: Volume = 48
Step-by-step explanation:
V = L * W * H
V = 4 * 6 * 2
V = 48
from a random sample of 24 months from january 2006 through december 2016, the mean of number of tornadoes per month in the united states was about 100. assume the population standard deviation is 114
Use the figure to answer the question. 8 8 What is the area of the shaded region of the circle in terms of a? Enter the answer in the box. The area of the shaded region is f units squared.
Answer:
48pi
Step-by-step explanation:
pi x 8² - pi x 4²
64pi - 16pi
48pi
(3-2i)(1 + 7i)
What is the product?
Answer:
17+19i
Step-by-step explanation:
[tex](3-2i)(1+7i) =3+21i-2i-14i^2=3+19i+14=17+19i[/tex]
What is the value of x
Answer:
awnser is 36
Step-by-step explanation:
Answer: x = 37
Step-by-step explanation:
you can use the pythagorean theorem to solve this:
[tex]a^{2} + b^{2} = c^{2}[/tex]
'a' and 'b' in the equation is referring to the legs of the right triangle, or the sides adjacent to the hypotenuse (which is the side opposite the right angle)
plug in the legs into the equation and you get :
[tex]12^{2} + 35^{2} = x^{2}[/tex]
now to solve that we just square 12 and 35 and you get
144 + 1225 = [tex]x^{2}[/tex]
1369 = [tex]x^{2}[/tex]
x = [tex]\sqrt{1369}[/tex]
x= 37
:))
whats 6 divided by 10?
Answer:
1 r 4
Step-by-step explanation:
0 1
6 1 0
− 0
1 0
− 6
4