m = √245
Step-by-step explanation:
cos theta = 7/m
cos theta = m/35
7/m = m/35
m² = 245
m= √245
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.
Solve the following equation by completing the square. 4x2 – 160 + 8 = 0
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.
DUE IN 5 MINUTES PLEASE HELP
Answer:
it's a
Step-by-step explanation:
He lost 50 lbs over a 5 moth period
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)
Which inequality represents all values for X for which the product below is defined?
Answer:
x ≥0
Step-by-step explanation:
Given the product:
√(5x)*√(x+3)
The function has to be defined if x ≥0
Hence;
√(5x)*√(x+3)≥0
Find the product
√(5x)(x+3)≥0
Square both sides
(5x)(x+3)≥0
5x≥0 and x+3≥0
x≥0/5 and x ≥0 - 3
x ≥0 and x ≥-3
Hence the required inequality is x ≥0
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:
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
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
help plssssss theres 2 pages
Answer:
10 × 5 - (- 6)² + (- 8) = 6
(- 5)² × 3 ÷ 5 + 9 = 24
(10 ÷ (- 5) - (- 2)) × (- 3)³ = 0
4 × (- 6) ÷ 8 + 3³ = 24
(- 5)² - 2 × (- 9) + 6 = 49
3 × 10 + 8 - 4² = 22
(- 9) - (- 8) + 2 × 4² = 31
(- 3)³ - 2 + 8 ÷ (- 8) = - 30
8 ÷ (- 4) × (- 6)² + 7 = - 65
4 × (- 8) + 6 - (- 2)³ = - 18
Step-by-step explanation:
10 × 5 - (- 6)² + (- 8)
10 × 5 - 36 - 8
10 × 5 - 36 - 8
50 - 36 - 8
50 - 44
6
(- 5)² × 3 ÷ 5 + 9
25 × 3 ÷ 5 + 9
75 ÷ 5 + 9
15 + 9
24
(10 ÷ (- 5) - (- 2)) × (- 3)³
(10 ÷ (- 5) - (- 2)) × - 27
(10 ÷ - 5 + 2) × - 27
(- 2 + 2) × - 27
0 × - 27
0
4 × (- 6) ÷ 8 + 3³
4 × (- 6) ÷ 8 + 27
- 24 ÷ 8 + 27
- 3 + 27
24
(- 5)² - 2 × (- 9) + 6
25 - 2 × - 9 + 6
25 + 18 + 6
49
3 × 10 + 8 - 4²
3 × 10 + 8 - 16
30 + 8 - 16
30 - 8
22
(- 9) - (- 8) + 2 × 4²
(- 9) - (- 8) + 2 × 16
- 9 + 8 + 2 × 16
- 9 + 8 + 32
32 - 1
31
(- 3)³ - 2 + 8 ÷ (- 8)
- 27 - 2 + 8 ÷ - 8
- 27 - 2 - 1
- 27 - 3
- 30
8 ÷ (- 4) × (- 6)² + 7
8 ÷ (- 4) × 36 + 7
- 2 × 36 + 7
- 72 + 7
- 65
4 × (- 8) + 6 - (- 2)³
4 × (- 8) + 6 - (- 8)
- 32 + 6 + 8
- 32 + 14
- 18
[tex]10 x 5-(-6)^2 +(-8)\\10x5-36+(-8)\\50-36+(-8)\\50-28\\22[/tex]
[tex](-5)^2[/tex]x3÷5+9
25x3÷5+9
75÷5+9
15+9
24
(10÷(-5)-(-2))x(-3)³
((-2)-(-2))x(-3)³
0x(-3)³
0x(-27)
0
4x(-6)÷8+3³
4x(-6)÷8+27
(-24)÷8+27
(-3)+27
24
(-5)²-2x(-9)+6
25-2x(-9)+6
25+18+6
43+6
49
3x10+8-4²
3x10+8-16
30+8-16
38-16
22
(-9)-(-8)+2x4²
(-9)-(-8)+2x16
(-9)-(-8)+32
(-9)-24
(-33)
(-3)³-2+8÷(-8)
(-27)-2+8÷(-8)
(-27-2+(-1)
(-27)-1
(-28)
8÷(-4)x(-6)²+7
8÷(-4)x(-36)+7
8÷144+7
0.055+7
7.055
4x(-8)+6-(-2)³
4x(-8)+6-8
(-32)+6-8
(-26)-8
(-34)
I hope this will help you. ^^
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
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)
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
Calculate the length to the line segment between those two coordinates. Briefly describe how you did your calculations.
(-1,2) and (5,-6)
(Please I don’t even know how I’m supposed to calculate that HELP)
Answer:
3
Step-by-step explanation:
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
Find the measure of the missing angle
Answer: a=
Answer:
Hello! answer: 49
Step-by-step explanation:
This is a complementary angle meaning it will add up to 90 degrees so...
90 - 41 = 49 therefore a = 49 hope that helps!
Answer:
Step-by-step explanation:
anfle a+41 degree=90 degree(being perpendicular)
angle a=90-41
angle a=49
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
Wally has a coupon to get 28% off a ticket to a Red Sox game. If the original price for his ticket is $160, how much will he pay for the ticket? Show/explain how you know!
Answer:
28% off 160.00 is 115.20
The difference is 44.80
Step-by-step explanation:
One way is to multiply 160 by 28 percent, and then divide the answer by one hundred, then deduct that result from the original price.
Purchase Price:
$160
Discount:
(160 x 28)/100 = $44.80
Final Price:
160 - 44.80 = $115.20
Thus, a product that normally costs $160 with a 28 percent discount will cost you $115.20, and you saved $44.80.
You can also calculate how much you save by simply moving the period in 28.00 percent two spaces to the left, and then multiply the result by $160 as follows: $160 x .28 = $44.80 savings.
Furthermore, you can get the final price by simply deducting .28 from 1 and multiplying it by $160 as follows: (1 - .28) x $160 = $115.20 final price.
Answer:
160-44.8=115.2
Step-by-step explanation:
160 would be 100%
28%=x
[tex]\frac{160}{x} = \frac{100}{28}[/tex]
[tex]\frac{x}{160} =\frac{28}{100}[/tex] x=44.8
28% of 160 would be 44.8
160-44.8=115.2
Writing in Math Explain how you could convert a rate of miles
per hour to a rate of miles per second.
Answer:
divide the speed value by 3600
according to the most used browser by the name of g
Step-by-step explanation:
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.
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
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)
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]
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
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
Help me please!!! Who ever helps gets brainliest!!!!!
Evaluate 3 + (-h) + (-4) where h = -7.
[tex]\boxed{6}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]3 + ( - h) + ( - 4)[/tex]
Putting the value "h = -7" in the above expression, we have
[tex]3 + [ - ( - 7)] - 4 \\ = 3 + 7 - 4 \\ = 10 - 4 \\ = 6[/tex]
Note:-
[tex]\sf\purple{BODMAS\: rule.}[/tex]
B = Brackets
O = Orders
D = Division
M = Multiplication
A = Addition
S = Subtraction
( And )
[tex]\sf\red{(-\:x\:-)\:=\:+}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
Answer:
6
Step-by-step explanation:
Replace h with -7
3+ [-(-7)]+(-4)
Multiply the negative with -7. The answer for it is 7
Add 3 and 7, which is 10
Subtract 10 with -4 which is 6
Answer is 6
Hope this helps!
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
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 Aztec came to power in central Mexico
during the A.D 1300s.
fact or opinion
Answer:
fact
Step-by-step explanation: