Answer:
-15
Step-by-step explanation:
8+7=15
so
-8-7 = -15
A scientist has 42.359 grams of copper. She uses 3.08 grams in an experiment. How many grams of copper are left?
Answer:
39.279 grams
Step-by-step explanation:
Find the slope of the line on the graph.
The slope should be -1/2, because the line goes down 1 unit and then right 2 units.
Also it would be y = -1/2x+1 in y=mx+b.
Diana averages 6 mph walking
to school. Averaging 35 mph on
the way back home by car, she
takes 3 hour less time.
How far is the school
from her home?
Answer:
Distance between school and home = 105 miles.
Step-by-step explanation:
Let distance = D miles
Time to take walking/jogging, t1 = D/6 hours
Time by car, t2 = D/35 hours
Average time, t
= (t1+t2)/2
= D(1/6+1/35)
= (D/210)(35+6)
=41D/210 hours
Given t = t1-3 hours
41D/210 - D/6 = 3
Solve for D
41D/210 - 35D/210 = 3
(41-35)D/210 = 3
6D/210 = 3
D = 3*210/6 = 105 miles.
(Appreciate very much Diana's efforts to walk/job 105 miles to school, and we understand how lucky we are in most of Europe and North America)
Solve the following equation by completing the square. 4x2 – 160 + 8 = 0
someone help please !
Answer:
x = 11.5
Step-by-step explanation:
using pythagoras theorem
a^2 + b^2 = c^2
x^2 + 8^2 = 14^2
x^2 + 64 = 196
x^2 = 196 - 64
x^2 = 132
x = [tex]\sqrt{132}[/tex]
x = [tex]2\sqrt{33}[/tex]
x = 11.5
Answer:
11.5
Step-by-step explanation:
Use the pythagorean theorem.
a^2 + b^2 = c^2
8^2 + b^2 = 14^2
64 + b^2 = 196
-64 -64
(radical) b^2 = (radical) 132
b = 11.5
consider a population consisting of values 2, 3, 5, 7. what is the population standard deviation?
Answer:
The population standard deviation is 1.92.
Step-by-step explanation:
Population mean:
Sum of all values divided by the number of values. Thus:
[tex]M = \frac{2 + 3 + 5 + 7}{4} = 4.25[/tex]
Population standard deviation:
Square root of the division between the sum of the difference squared of each value and the mean, and the number of values. Thus.
[tex]S = \sqrt{\frac{(2-4.25)^2 + (3-4.25)^2 + (5-4.25)^2 + (7-4.25)^2}{4}} = 1.92[/tex]
The population standard deviation is 1.92.
A tire manufacturer has a 60,000 mile warranty for tread life. The manufacturer considers the overall tire quality to be acceptable if less than 8% are worn out at 60,000 miles. A study was done and researchers were 98% confident that the proportion of tires that are worn out at 60,000 miles lies between 7.8% and 9.6%. What type of statistical inference is this
Answer:
"Interval estimation" is the correct answer.
Step-by-step explanation:
Throughout the comparison to highlight estimates, the interval estimate would be the use of statistical analysis for calculating a range of potential measured values, which would be a continuous random variable.
The formula which is utilized to find these values is provided below:
⇒ [tex]\mu = \bar x \pm Z_{\frac{\alpha}{2} }\times \frac{\sigma}{\sqrt{n} }[/tex]
Here,
[tex]\bar x[/tex] is the mean.[tex]Z_{\frac{\alpha}{2} }[/tex] is the confidence coefficient.[tex]\alpha[/tex] is the confidence level.[tex]\sigma[/tex] is the standard deviation.[tex]n[/tex] is the sample size.Which point is located on the y-axis of a coordinate grid?
A. (1, 1)
B. (1, 0)
C. (0, 1)
D. (2, 1)
Answer:
C
Step-by-step explanation:
(x, y) 0 is x and 1 is y so that is exactly on the y axis
WILL MARK BRAINLIEST PLEASE HELP ME :(
Answer:
Step-by-step explanation:
6) Statement Reasons
∠W = ∠Q Given
WX = QX Given
∠1 = ∠2 Vertically opposite angles
ΔPXW ≅ ΔMXQ A S A congruent (Angle side Angle)
7) ∠1 = ∠4 Given
FH = HF Reflexive property
∠2 = ∠3 Given
ΔFGH ≅ ΔHEF A S A congruent (Angle side Angle)
DUE IN 5 MINUTES PLEASE HELP
Answer:
it's a
Step-by-step explanation:
He lost 50 lbs over a 5 moth period
Point A' is the image of point A when point A is rotated about the origin B. What angle in the counterclockwise direction is
A rotated through?
9514 1404 393
Answer:
90° CCW
Step-by-step explanation:
The slope of BA is -1/3. The slope of BA' is 3, so the slopes are opposite reciprocals of one another. These segments are perpendicular, meaning the angle between them is 90°.
Point A' has been rotated 90° CCW about point B.
When the admission price for a baseball games was $4 per ticket, 40,000 tickets were sold. When the price was raised to $5, only 35,000 tickets were sold. Assume that the demand function is linear and that the variable and fixed costs for the ball park owners are $0.10 and $95,000 respectively.
A) Find the profit P as a function of x, the number of tickets sold P(x)=
B) Select the graph of P
C) find the marginal profits when 20,000 tickets were sold and when 40,000 tickets were sold. P'(20,000)= $ Per ticket P'(40,000)= $ Per ticket
Answer and explanation:
A. profit P as a function of x, the number of tickets sold
P(x)= total revenue - total cost
For 40000 tickets at $4
=40000×4-0.10×40000+$95000
=$160000-$99000
=$61000
For 35000 tickets at $5
= 35000×$5-0.10×35000+$95000
= $175000-$98500
= $76500
B. P has a downward slope like a demand curve. Increase in price equal to decrease in profit.
C. P(40000)= $4-$0.10+$95000/40000
= $4-$2.475
= $1.525
Price for 20000 tickets was not stated in question but feel free to use an arbitrary price(price should be higher than that for 35000 tickets and 40000 tickets)
Multiply the following polynomials.
(3x²- 5x + 2)(7x + 1)
A. 21x³- 35x²+ 14x + 1
B. 21x³+ 38x²+ 19x + 2
C. 21x³+ 3x²+ 14x + 2
D. 21x³- 32x²+ 9x + 2
Answer:
21x^3-32x^2+9x+2
Step-by-step explanation:
(3x²- 5x + 2)(7x + 1)
Distribute
7x* (3x²- 5x + 2) + 1 *(3x²- 5x + 2)
21 x^3 -35x^2 +14x + (3x²- 5x + 2)
Combine like terms
21x^3-32x^2+9x+2
Answer:
D. 21x³- 32x²+ 9x + 2
Step-by-step explanation:
( 3 x²- 5 x + 2 ) ( 7 x + 1 )
Using distributive property
7 x ( 3 x²- 5 x + 2 ) + 1 ( 3 x²- 5 x + 2 )
multiply,
21 x ³ - 35 x² + 14 x + 3 x² - 5 x + 2
arranging like terms together
21 x³ - 35 x² + 3 x² + 14 x - 5 x + 2
21 x ³ - 32 x² + 9 x + 2
y=x^2 + 2
Tell whether it is a minimum or maximum.
O (0, 2); maximum
O (2,0); minimum
O (0, 2); minimum
O (2,0); maximum
What is the mean of the following numbers?
x-3a,x-2a,x-a,x,x+a
Answer:
x - a
Step-by-step explanation:
The mean is calculated as
mean= [tex]\frac{sum}{count}[/tex]
= [tex]\frac{x-3a+x-2a+x-a+x+x+a}{5}[/tex]
= [tex]\frac{5x-5a}{5}[/tex]
= [tex]\frac{5(x-a)}{5}[/tex]
= x - a
I added the picture of the question.
Answer:
A) 4
Step-by-step explanation:
Area of a triangle formula:
A = 0.5bh
Given:
b = 4
h = 2
Work:
A = 0.5bh
A = 0.5(4)(2)
A = 2(2)
A = 4
Answer:
the answer is 10
Step-by-step explanation:
From a population of 200 elements, the standard deviation is known to be 14. A sample of 49 elements is selected. It is determined that the sample mean is 56. The standard error of the mean is _____. a. 2 b. greater than 2 c. 3 d. less than 2
Answer:
a. 2
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Standard deviation is known to be 14.
This means that [tex]\sigma = 14[/tex]
Sample of 49
This means that [tex]n = 49[/tex]
The standard error of the mean is
[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{14}{\sqrt{49}} = \frac{14}{7} = 2[/tex]
So the correct answer is given by option a.
Please someone help me. Thank you.
Answer:
Step-by-step explanation:
take x degree as reference angle
using tan rule
tan x=opposite/adjacent
tan x=6.1/5.1
tan x=1.19
x=[tex]tan^{-1}[/tex]1.19
x=49.95
x=50 degree
HELP PLSSSSSS I will give Brainlyest
Answer:
51/8
Step-by-step explanation:
LCM of 8, 4 and 2 = 8
7/4*2=14/8
3/2*4=12/8
15/8+14/8+12/8=41/8 So Jerry played 41/8 or you can say 4 1/8 hours with his friends
Answer:
[tex]5\frac{1}{8}[/tex] hours
Step-by-step explanation:
First find the common denominator for all numbers.
The common denominator for all of those numbers will be 8.
[tex]1\frac{3}{4}=1\frac{6}{8}[/tex]
[tex]\frac{3}{2}[/tex] The fraction is improper so we must simplify it!
[tex]1\frac{1}{2}[/tex] Then convert it to a mixed number having a common denominator of 8!
[tex]1\frac{1}{2} =1\frac{4}{8}[/tex]
Final Results: [tex]1\frac{6}{8} + 1\frac{4}{8} +1\frac{7}{8} =5\frac{1}{8}[/tex]
Final Answer: [tex]5\frac{1}{8}[/tex]
what was ram previous salary if he now get Rs 18600 after are increment by 20%
Answer:
Rs 15500
Step-by-step explanation:
x = previous salary
0.20x + x = 18600
1.20x = 18600
/1.20 /1.20
x = 15500
Solve the equation 4(c-3)=8
What are two ways to start solving this equation? Choose both ways.
Answer:
- Use the distributive property to get 4c-12=8
-Divide both sides by 4 to get c-3 = 2
Step-by-step explanation:
- Use the distributive property to get 4c-12=8
[tex]4(c - 3) = 8 \\ 4 \times c - 4 \times 3 = 8 \\ 4c - 12 = 8[/tex]
Answer:4c-12=8
Step-by-step explanation:
4(c-3)=8
4xc-4x3=8
4c-12=8
A lawn sprinkler waters Kara's yard in a circular motion. The
lawn sprinkler can water grass within a 7 foot radius. What is
the area of the yard that is watered by the sprinkler?
A. 43.98 ft
B. 87.96 ft
C. 153.94 ft
D. 615.75 ft
NEED HELP ASAP PLEASE, check the picture
Answer:
option A
is the correct answer
Step-by-step explanation:
Wet grass forms a circular region of radius r=7 m.
∴ Length of the outer edge of wet grass(Perimeter) =2πr=2×
7
22
×7 m=44 m.
the rectangle prism below has a volume of 464 3/4 cubic meters. a- write an equation that could be used to find the length of the prism b- find the length, show your work.
PLEASE HELP!!
Answer:
ok
Step-by-step explanation:
please mark me brainleast
A Nissan four cylinder engine has a stroke of 72mm and a bore of 81.5mm. Calculate the displacement in liters. 2.5 liters O 2.0 liters 1500 liters O 1.5 liters
The graph shows that f(x)=(one-third) Superscript x is translated horizontally and vertically to get the function (one-third) Superscript x minus h.
On a coordinate plane, 2 exponential functions are shown. f (x) decreases in quadrant 2 and approaches y = 0 in quadrant 1. It goes through (negative 1, 3), (0, 1), (1, 0.3). g (x) decreases in quadrant 1 into quadrant 4. It crosses the x-axis at (4, 0), and goes through (5, negative 2).
What is the value of k?
−5
−3
3
5
the answer is negative 3
Answer:
The answer is C. on EDG
Step-by-step explanation:
Which of the following is not an undefined term?
point
ray
plane
line
Answer:
point line and plane
Step-by-step explanation:
they are not an undefined term
The Aztec came to power in central Mexico
during the A.D 1300s.
fact or opinion
Answer:
fact
Step-by-step explanation:
is 3 quarts more than 3 pints?
Answer:
Yes, 3 quarts is more than 3 pints
Step-by-step explanation:
2 pints make up 1 quart
Calculate the surface area of a solid box in the shape of a cube with
side length 3cm.
Answer:
54 cm^2
Step-by-step explanation:
side ( a ) = 3 cm
Formula : -
Surface area ( cube ) = 6a^2
Surface area ( cube )
= 6 x ( 3 )^2
= 6 x 9
= 54 cm^2
Answer:
54cm^2
Step-by-step explanation:
There are 6 sides in a cube. One of the sides should have the area of 9, because it's a cube and 3 * 3 is 9.
Considering that one side is [tex]9cm^{2}[/tex], the surface area should be 9 * 6, which is 54.
The surface area is 54cm^2.
Bob has a box of chocolate.. containing 6 chocolate covered almonds, a chocolate coverud peanuts and 8 plain chocolate, If the chocolates look identical, what is the probability that the first two chocolates Bobcats will have almonds
Answer:
(2/1) indicates that the question can give a maximum ... To make chocolate for bars and candies, cocoa powder, cocoa butter and sugar ... if it contains 70 % cocoa? ... The figure shows 5 squares, each with the same area. ... a) How many grams of dark chocolate does she need if she wants to make ... makes 8 small harts.
Step-by-step explanation: