Answer:
(a) Because the expression is not an equation
(b) Because the expression is an equation
Step-by-step explanation:
Solving (a): a + 2
The above expression can assume any value for a because it is not an equation.
Take for instance:
a = 2;
[tex]a + 2 \to 2 + 2 = 4[/tex]
[tex]a =-4[/tex]
[tex]a + 2 \to -4 + 2 = -2[/tex]
The reason for this is because the expression is not an equation
Solving (b): [tex]b + 2 = 5[/tex]
The above expression can assume only value for b, and the value is:
[tex]b + 2 = 5[/tex]
[tex]b = 5-2[/tex]
[tex]b =3[/tex]
This means that only [tex]b =3[/tex] will make the equation true.
The reason for this is because the expression is an equation
3) Which inequality represents this scenario?
The weight of a book may be no more than 3.3 pounds.
A) w > 3.3
B) w< 3.4
C) w <3.3
D) w < 3.3
Answer:
w < 3.3
C) w < 3.3
D) w < 3.3
Answer: [tex]w \le 3.3[/tex]
=====================================================
Explanation:
w is the weight and it may be no more than 3.3 pounds. This is the same as saying that 3.3 pounds is the highest it can go. Think of it as the ceiling.
w = 3.3 is possible or anything smaller than it is possible.
So w is 3.3 or smaller meaning we write the inequality [tex]w \le 3.3[/tex]
The answer is not w < 3.3 because that would exclude 3.3 itself.
The answer is between choices C and D. It seems like one of those inequality signs should have an underline.
A local steakhouse served 625 customers over a weekend. The distribution of each customer's food purchase is non-normal. The average cost of each customer's food purchase is 52 dollars, with a standard deviation of 17 dollars. Suppose that a random sample of 315 customers are selected from the weekend's customers. Would it be appropriate to model the distribution of the sample mean with a normal model?
No. The mean distribution theorem states that the sampling distribution of the sample mean can only be modeled by the non-normal model because the population distribution is non-normal.
There is not enough information to make assumptions regarding the distribution of the sample mean.
Yes. The central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model if the sample size is large enough, regardless of the shape of the population distribution.
No. The central limit theorem states that the sampling distribution of a sample mean can only be modeled by a normal model if the sample size is large enough and the shape of the population distribution is normal.
Yes. The mean distribution theorem states that the sampling distribution of a sample mean can be modeled by a normal model if the sample size is large enough regardless of the population distribution.
Answer:
yes. The central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model, regardless of the shape of the population distribution.
Step-by-step explanation:
In order for the distribution of the sample mean to be normal, the sample size, n, must be large enough. By the central limit theorem, if n > 30, the distribution of the sample mean can be modeled by a normal distribution.
The answer is yes the central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model, regardless of the shape of the population distribution.
Option (B) is correct.
It is required to find the appropriate to model the distribution of the sample.
What is arithmetic?science that deals with the addition, subtraction, multiplication, and division of numbers and properties and manipulation of numbers.
Given that:
A local steakhouse served 625 customers over a weekend.
The average cost of each customer's food purchase is 52 dollars, with a standard deviation of 17 dollars. random sample of 315 customers are selected from the weekend's customers.
In order for the distribution of the sample mean to be normal, the sample size, n, must be large enough. By the central limit theorem, if n > 30, the distribution of the sample mean can be modeled by a normal distribution.
So, the answer is yes the central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model, regardless of the shape of the population distribution.
Learn more about arithmetic here:
https://brainly.com/question/23907399
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Find the standard form of the equation of the circle with endpoints of a diameter at the points (7,8) and (-3,6). Type the standard form of the equation of this circle
Answer:
The equation of the circle is [tex](x - 2)^2 + (y - 7)^2 = 21[/tex]
Step-by-step explanation:
Equation of a circle:
The equation of a circle, with center [tex](x_0,y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
Distance between two points:
Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Diameter at the points (7,8) and (-3,6).
The diameter is the distance between these two points, so:
[tex]D = \sqrt{(-3-7)^2+(6-8)^2} = \sqrt{104}[/tex]
Radius is half the diameter, so:
[tex]r = \frac{\sqrt{104}}{2} = \frac{\sqrt{104}}{\sqrt{4}} = \sqrt{\frac{104}{4}} = \sqrt{21}[/tex]
So
[tex]r^2 = (\sqrt{21})^2 = 21[/tex]
Center:
Midpoint of the diameter, which is the mean of the coordinates. So
[tex]x_0 = \frac{7 - 3}{2} = \frac{4}{2} = 2[/tex]
[tex]y_0 = \frac{8 + 6}{2} = \frac{14}{2} = 7[/tex]
Then
[tex](x - 2)^2 + (y - 7)^2 = 21[/tex]
Evaluate the expression when t is 4.
Equation: 3 x 2t
Answer:
Step-by-step explanation:
3*2t
substitute the value of t
=3*2*4
=24
Answer:
24
Step-by-step explanation:
so you do
3x 2(4) subsuite the t for the 4
then do 2*4= 8
then d0 3x8= 24
I need help is using double-angle formulas to simplify trig expressions.
Answer:
the answer is c
Step-by-step explanation:
(1-cosb²)/sinx²
A special offer at the grand opening of a new theater has tickets discounted at 8%.
If the tickets sell for $12, how much will you pay after the discount?
Answer:
you would pay $11.04
Step-by-step explanation:
$12 x .08= .96
$12 - 0.96 = $11.04
Answer:
11.04
Step-by-step explanation:
So, a ticket cost 12$.
We need to find the price when it of 8% off, whihc is tecnically 92% of the orginal price.
Putting this into decimal form:
0.92
So to find this price, we need to multiply the orginal price by the percentage:
12*0.92
0.02*12 is 2*24 adding 2 decimals which equals 0.24
0.9*12 is 12*9 adding 1 deecimal which equals 10.8
Add them together: 0.24+10.8 = 11.04
So 11.04 is our new cost.
Hope this helps!
how many minutes are there in 3/4 hours
Answer:
45 minutes
Step-by-step explanation:
60 minutes in one hour divided by four will give us 1/4
60/4=15
15*3= 45
45=3/4 of an hour
Add.
2
1
3x² - 4x-4
3x² +8x+4
+.
Simplify your answer as much as possible.
NO LINKS please and thank you
Answer:
6x²+4x
Step-by-step explanation:
The given expressions are 3x²- 4x-4 and 3x²+8x+4.
We need to add these two expressions.
3x²- 4x-4 + 3x²+8x+4 = 3x² + 3x² -4x+8x-4+4
= 6x²+4x
On adding the given expressions, we get the value as 6x²+4x. Hence, the sum of the given expressions is equal to 6x²+4x
Plsss help me I’m so confused! Brainlist!!!!! Plsss ASAP, or I’m going to fail my class!!!
Answer:
the median is 12
the mean is 11.16
I believe the answer is:
Median: 12 hours
Mean: 11.2 hours
Hope this helps! :D
What is 0.851 rounded to the nearest hundredth?
Answer: 0.85 hope this helps
Step-by-step explanation: plz mark brainlest
What is an algebraic expression for the quotient of w and 7 ? A. W-7 B. W+7 C.W/7 D.7w
Answer:
the answer for this is C.
Step-by-step explanation:
quotient is the number gotten by dividing a number by another.this is why it is C.
Helppppp 78 squared to the 3rd
Candice cycles 2 kilometers during each trip to work. How many trips will Candice have to
make to cycle a total of 4 kilometers?
Answer:
2
Step-by-step explanation:
What two numbers add to 7 and multiply to -44
Answer:
The numbers are 11 and -4
Step-by-step explanation:
Given
Let the two numbers be [tex]x[/tex] and [tex]y[/tex]
such that:
[tex]x + y = 7[/tex]
[tex]x*y = -44[/tex]
Required
Find x and y
Make y the subject in: [tex]x + y = 7[/tex]
[tex]y = 7 - x[/tex]
Substitute [tex]y = 7 - x[/tex] in [tex]x*y = -44[/tex]
[tex]x(7-x) = -44[/tex]
Open bracket
[tex]-x^2 +7x = -44[/tex]
Rewrite as:
[tex]x^2 -7x -44=0[/tex]
Expand
[tex]x^2 +4x-11x -44=0[/tex]
Factorize
[tex]x(x +4)-11(x +4)=0[/tex]
Factor out x + 4
[tex](x -11)(x +4)=0[/tex]
Solve for x
[tex]x =11; x =-4[/tex]
Recall that:
[tex]y = 7 - x[/tex]
So:
[tex]y = 7-11 = -4[/tex]
or
[tex]y = 7--4 = 11[/tex]
1. Annel sells a phone which costs $180 and earns 5% commission. What is the dollar
amount of commission that Annel earns?
A $189
B $9
C $109
D $90
Answer:
B) $9
Step-by-step explanation:
5% can also be written as 0.05
Dividing a percentage by 100 gives you decimal form.
The question is asking for the amount of commission earned, not the total amount. This means that all we have to do is do:
$180 x 0.05 = $9
The steps in evaluating 8÷(6−4)+32 are:
36
pemdas rule
paranthesis first
8 ÷ 2 + 32
then division
4 + 32
then addition
36
If you know how to solve this, Please answer it. Thank You
The first one to answer the question right, will get Brainlist!
I PROMISE!!!!!
Answer:
x=10
Step-by-step explanation:
If x=4.5 when y is 9, x is always half of y. x^1 /y^1 = x^2/ y^2
is 1/2 = 1/4
I tried to complete this question on determining a trigonometry equation on a graph but I got the wrong answer. What did I do wrong?
Answer:
[tex]y=2\sin(x)-1[/tex]
Step-by-step explanation:
Let's break it down:
In the sinusoidal function [tex]y=a\sin b(x-c)+d[/tex]:
[tex]a[/tex] represents Amplitude [tex]b[/tex] represents a constant related to the Period[tex]c[/tex] represents Phase Shift [tex]d[/tex] represents Vertical ShiftTo find Amplitude, divide the entire height of the function (from top to bottom) by two, or find the vertical distance between the horizontal line of symmetry and the highest/lowest point of the wave. In this case, Amplitude is 2.
To find [tex]b[/tex], use [tex]T=\frac{2\pi}{b}[/tex], where [tex]T[/tex] is the period of the function. To find the period, count the horizontal distance of the length of one complete cycle. In this case, period is [tex]2\pi[/tex] and therefore
[tex]2\pi=\frac{2\pi}{b},\\b=\frac{2\pi}{2\pi}=1[/tex].
To find Phase Shift, find the horizontal shift from the parent function [tex]y=\sin x[/tex]. In this case, there is no phase shift.
To find Vertical Shift, find the vertical shift from the parent function [tex]y=\sin x[/tex]. In this case, vertical shift is -1.
Thus, we've found:
[tex]a=2[/tex] [tex]b=1[/tex] [tex]c=0[/tex] [tex]d=-1[/tex]Substituting these values into [tex]y=a\sin b(x-c)+d[/tex] , we get:
[tex]y=2\sin 1(x-0)-1=\boxed{y=2\sin(x)-1}[/tex]
What are the vertex, focus, and directrix of the parabola with the equation x2+8x+4y+4=0
1.the ratio if the weight of an object on mars to its weight in earth is 9 to 25.If a person weighs 160pouns on earth,how much would the person weigh on mars?
Answer:
57.6 Pounds
Step-by-step explanation:
Weight on Earth = 160 pound
Weight on Mars = (9/25)*160 pound
= 57.6 pounds
A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than centimeters. The factory believes that the length of the screws exceeds this value and measures the length of screws. The sample mean screw length was centimeters. The population standard deviation is known to be centimeters.
1. What is the null hypothesis?
2. What is the alternative hypothesis?
Answer:
a) Null Hypothesis: length of each screw is less than 14 centimeters
b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters
Step-by-step explanation:
Complete question
A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than 14 centimeters. The factory believes that the length of the screws exceeds this value and measures the length of screws. The sample mean screw length was centimeters. The population standard deviation is known to be centimeters.
1. What is the null hypothesis?
2. What is the alternative hypothesis?
Solution :
The null hypothesis is basically the problem statement that needs to be tested.
Alternate hypothesis is opposite of that of null hypothesis
a) Null Hypothesis: length of each screw is less than 14 centimeters
b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters
Bob went to a baseball game the game started at 9:41 a.m. and it was 3 hours and 43 minutes long when did the game end
Answer:
The game ended at 1:24 p.m.
Step-by-step explanation:
Question 4 of 10, Step 1 of 1
Correct
How much simple interest would be paid on a loan of $10,140 at 8 % for 5 months? Round your answer to nearest cent. assume 360 days in a year 30 days in a month
Answer:
338
Step-by-step explanation:
10,140x.08=811.20 annual interest
811.20/360 x 150(5 months)=338
The table shows a soccer team’s number of wins, losses, and ties. A 2-column table with 3 rows titled Soccer Statistics. Column 1 has entries wins, losses, ties. Column 2 has entries 15, 5, 2. What do the ratios 15:5 and 15:22 represent? 15:5 compares losses to wins and 15:22 compares games to wins. 15:5 compares wins to losses and 15:22 compares wins to games. 15:5 compares wins to losses and 15:22 compares wins to ties. 15:5 compares wins to ties and 15:22 compares wins to games.
Answer:
The answer is C
Answer:
Step-by-step explanation:
the answer is 15:5 compares wins to losses and 15:22 compares wins to ties. HOPE THIS HELPS
Find the exact value of cos 30° in simplest form with a rational denominator.
Answer:
[tex]\cos(30) = \frac{\sqrt3}{2}[/tex]
Step-by-step explanation:
Required
Exact value of [tex]\cos(30)[/tex]
[tex]\cos(30)[/tex] is calculated from an equilateral triangle, divided into with the following dimensions
[tex]Hypotenuse = 6[/tex]
[tex]Adjacent = 3[/tex]
[tex]Opposite = 3\sqrt 3[/tex]
So:
[tex]\cos(30) = \frac{3\sqrt3}{6}[/tex]
[tex]\cos(30) = \frac{\sqrt3}{2}[/tex]
A machine can package 5950 boxes of cereal in 7 hours. how many boxes is the machine packing per hour?
Answer:
850 boxes per hour hope that helps
Answer: 250 boxes of cereal per hour
Work: All i did was divide the 5950 boxes by the 7 hours. After that, I got the quotient 250.
Help with this math image below
The answer is 'Right'.
Step-by-step explanation:
Sum of angles in a triangle = 180°
Angle C = 180 - 58 - 32
= 90°
90° is defined as a right angle.
Therefore, triangle ABC is classified as a right-angled triangle.
Find the perimeter of the semi circle window to the nearest tenth.
20 cm
Answer:
628.3 cm
Step-by-step explanation:
The window has a semicircle shape = half of a circle
Perimeter of the window = ½(πr²)
Radius (r) = 20 cm
Plug in the value
Perimeter of the window = ½(π*20²)
= ½(π*400)
Perimeter of the window = 628.31853 ≈ 628.3 cm (nearest tenth)
hey this is my first post, does anyone know how to do this and find V?
Answer:
16
Step-by-step explanation:
8/1/2
8 divided by 1/2
8 x 2/1 = 16
Answer:
Step-by-step explanation:
P=8/V
1/2=8/V
do cross multiplication
2*8=V*1
16=V
Distribute and combine HELP NOW!!
Answer:
9x + 8
Step-by-step explanation:
2(3x + 1) + 5x + 9 - 2x - 3
⇒ 6x + 2 + 5x + 9 - 2x - 3
⇒ 9x + 8
Algebra
2(3x+1)=6x+2
Then combine like terms.
6x+2+5x+9-2x-3
9x+8