A contractor claims the mean value of his compression test is 6500 psi and has astandard deviation of 500 psi. You attempt to check this by taking 8 sample measurements and findyour average is 5900 psi. If your levelof significance is 0.01, would you believe the means are the same
Answer:
This value of 5675 psi by the contractor is safer than 5487.5 psi as it is of lesser value.
Step-by-step explanation:
The following parameters are given from the question above. These information is used in solving this problem.
=> The mean value of his compression test = 6500 psi, the standard deviation = 500 psi, the average of the mean = 5900 psi and the number of sample measurements = 8.
The first thing to do right now is to determine the characteristic strength, this can be calculated as below:
Characteristic strength= average of the mean - (1.65/2) × standard deviation.
Characteristic strength = 5900 - (0.825) × 500 = 5487.5 psi.
The next thing to do is to Determine the target mean strength.
Target mean strength = 5487.5 psi + 1.65 × 500 = 6312.5 psi.
The above is from taking samples from 8 samples.
Now, let's consider the characteristic strength by the contractor.
Characteristics strength = 6500 - 165 × 500 = 5675 psi.
This value of 5675 psi by the contractor is safer than 5487.5 psi as it is of lesser value.
The amount of tax for another camera is $5.25 and the tax rate is 6%. Use the given equation to find the price before tax.
Original cost = Tax Amount
Percent
Original cost = 5.25
0.06
$87.50
$56.25
$31.50
$11.25
Answer:
Step-by-step explanation:
B was wrong!!
Answer: A
Step-by-step explanation: Just got it right.
1. Define transformation using the words preimage and
image.
Answer:
A transformation is when the preimage of a shape is changed in size or shape into a new image
Step-by-step explanation:
Answer: A transformation is the process of manipulating an polygon or an two-dimensional shape or object on a coordinate plane.
Step-by-step explanation: I attached a image for you to see.
in science and engineering, radians are much more convenient and common than degrees. what is the degree value for one radian ?
57.3
63.8
49
314
Answer:
57.3
Step-by-step explanation:
just took the quiz
A napkin is folded into an isosceles triangle, triangle ABC, and placed on a plate, as shown. the napkin has a perimeter of 48 centimeters. trigonometric area formula: Area = 1/2abSin(c). To the nearest square centimeter, how many square centimeters of the plate are covered by the napkin? show your work for full credit.
Answer: C.) 56 square centimeters
Step-by-step explanation:
URGENT WILL GIVE BRAINLIEST PLZ HELP
The controller (money manager) for a small company puts some money in a bank account paying 3% per year. He uses some additional money, amounting to 1/3 the amount placed in the bank, to buy bonds paying 4% per year. With the balance of the funds, he buys a 9% certificate of deposit. The first year the investments bring a return of $785. If the total of the investments is $10,000 how much is invested at each rate?
Answer:
22000
to the test
1+2+3+4+4+1000000000000000000=???
Answer:
1000000000000000015
Answer:
1,000,000,000,000,000,014
If the temperature is —3°F at 10:00 p.m., and the temperature falls four degrees overnight, what is the resulting temperature?
I need help. Please check this problem for accuracy I turn it in tomorrow.
Answer:
you are 100% correct (^_^)
Step-by-step explanation:
which expression is equivalent to (9×8)^4
Answer:
(8x9)^4
Step-by-step explanation: i am 99% sure
Answer:
72^4=26873856
Step-by-step explanation:
Need it ASAP no rocky
Answer:
Value of x = 19.42 unit (Approx)
Step-by-step explanation:
Given:
Base = 6 unit
Angle θ = 72°
Find:
Value of x
Computation:
Cos θ = base / Hypotenuse
Cos 72° = 6 / x
0.3090 = 6 / x
x = 19.4174
Value of x = 19.42 unit (Approx)
can someone give me the slope and y-intercept for this problem
Answer:
Slope: 2
Y-intercept: -4
Step-by-step explanation:
Slope = y2 - y1 / x2 - x1
Slope = -2 - -4 / 1 - 0
Slope = 2 / 1
Slope = 2
Y-intercept is when x = 0
This is shown on the first row
When x = 0, y = -4, which is our y-intercept
Ali and Sami share some sweets in the ratio 4: 7. Sami receives 15
more sweets than Ali. How many sweets do they each get?
Answer:
Ali = 12, Sami = 21
Step-by-step explanation:
Ali = 4x, Sami = 7x
lets make an equation
7x-4x=15
3x=15
x=3
Now when we know x we can find how many candies each got
3*4=12, 3*7=21
Please can someone work it out!!! I have 5 mins 13 points :)
Answer:
49m^3
Step-by-step explanation:
6287-6238=49m^3
Find a quadratic polynomial verifying f(-3) = – 18, f'(-3) = 16, f''(-3) = - 6.
Let f(x) = ax ² + bx + c. Then
f '(x) = 2ax + b
f ''(x) = 2a
f (-3) = -18, so
9a - 3b + c = -18
f ' (-3) = 16, so
-6a + b = 16
f '' (-3) = -6, so
2a = -6
Then a = -3, b = -2, and c = 3, so that
f(x) = -3x ² - 2x + 3
What is 5(4+6) x 6 =?
Answer:
300
Step-by-step explanation:
Help please! I’ll give brainliest.
9514 1404 393
Answer:
(a) not proportional
(b) k = 7/8
Step-by-step explanation:
When a linear equation is of the form ...
y = mx + b
with b ≠ 0, the relation is NOT PROPORTIONAL.
__
If b=0, so the equation is of the form ...
y = kx
then the relation IS PROPORTIONAL. The constant of proportionality is k.
__
(a) Not proportional
(b) Proportional with k = 7/8
Given the point (-4,-6), what is the coordinate of the point reflected over the X-axis and Y-axis?
Answer:
(4, 6)
Step-by-step explanation:
if it's a reflection then I believe it would just look exactly the same only with positive numbers
sorry if it's wrong, but hope it helps :)
Answer:
(4, 6)
Step-by-step explanation:
In the question it says "reflected over the X-axis and the Y-axis?"
When reflected you get (4, 6)
The opposite of Negative is positive
Which statement is true if a is the fourth root of 16, Show your work
a x a x a x a = 16
a = 164
4a = 16
a = 16/4
Given:
The statement is " a is the fourth root of 16".
To find:
The true statement for the given statement.
Solution:
The given statement is
a is the fourth root of 16.
Mathematically, it can be written as
[tex]a=\sqrt[4]{16}[/tex]
Taking power 4 on both sides.
[tex]a^4=(\sqrt[4]{16})^4[/tex]
[tex]a\times a\times a\times a=16[/tex]
Therefore, the correct option is A.
A true statement , if a is the fourth root of 16 is
a x a x a x a = 16
Important Information :
'a' is the fourth root of 16'a' is the fourth root of 16 can be written as
[tex]a=\sqrt[4]{16}[/tex]
To remove fourth root, we take exponent 4 on both sides
[tex]a=\sqrt[4]{16}\\(a)^4=(\sqrt[4]{16})^4[/tex]
Exponent 4 and fourth root will get cancelled
[tex]a^4=16\\a \cdot a\cdot a \cdot a=16[/tex]
a x a x a x a = 16
A true statement , if a is the fourth root of 16 is
a x a x a x a = 16
learn more about the radicals here:
brainly.com/question/1799883
PLEASE HELP! WILL GIVE YOU BRAINLEST
Alana is riding a Ferris Wheel with Brianna and either Lindsay, Emily, or Janelle.
Lindsay is at the movies.
Emily does not like caramel apples.
Janelle is afraid of heights and won't go on rides over 15 feet high.
.
.
Who is the third person riding the Ferris Wheel?
third person =
Answer:
Emily because Lindsay is at the movies so she can't ride the Ferris Wheel. Janelle is too afraid to go that high. Emily only doesn't like caramel apples so she can still go on the Ferris Wheel.
Answer:
Emily
Step-by-step explanation:
The third person riding on the ferris wheel is Emily. why? well Lindsey is at the movies so she can't be at the carnival riding the ferris weel, Janelle is afraid of heights so their is no way she would ride the ferris wheel, but Emily just doesn't like Carmel apples which would not stop her from riding the ferris wheel.
Ford and GM pick up trucks are being tested for fuel efficiency, which is commonly measured in miles per gallon (mpg). The fuel efficiency of Ford trucks is found to follow a normal distribution with mean 20 mpg and a standard deviation of 3 mpg. The fuel efficiency of GM trucks is found to follow a normal distribution with mean 24 mpg and standard deviation of 4 mpg. Compute the probability that a randomly chosen Ford truck outperforms a randomly chosen GM truck in terms of fuel efficiency
Answer:
0.7881 = 78.81% probability that a randomly chosen Ford truck outperforms a randomly chosen GM truck in terms of fuel efficiency
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Subtraction of normal variables:
When we subtract normal variables, the mean is the subtraction of the means, and the standard deviation is the square root of the sum of the variances.
The fuel efficiency of Ford trucks is found to follow a normal distribution with mean 20 mpg and a standard deviation of 3 mpg.
This means that [tex]\mu_{F} = 20, \sigma_{F} = 3[/tex]
The fuel efficiency of GM trucks is found to follow a normal distribution with mean 24 mpg and standard deviation of 4 mpg.
This means that [tex]\mu_{G} = 24, \sigma_{G} = 4[/tex]
Compute the probability that a randomly chosen Ford truck outperforms a randomly chosen GM truck in terms of fuel efficiency
This is the probability that the subtraction of ford by gm is less than 0. First, we find the mean and the standard deviation.
[tex]\mu = \mu_{F} - \mu_{G} = 20 - 24 = -4[/tex]
[tex]\sigma = \sqrt{\sigma_{F}^2+\sigma_{G}^2} = \sqrt{3^2+4^2} = 5[/tex]
This probability is the pvalue of Z when X = 0. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0 - (-4)}{5}[/tex]
[tex]Z = 0.8[/tex]
[tex]Z = 0.8[/tex] has a pvalue of 0.7881
0.7881 = 78.81% probability that a randomly chosen Ford truck outperforms a randomly chosen GM truck in terms of fuel efficiency
Please help me answer this question
9514 1404 393
Answer:
y ≥ 4x
Step-by-step explanation:
We notice the y-values in the table are 4 times the corresponding x-values. Since the table values represent a minimum, the appropriate inequality is ...
y ≥ 4x
I am once again asking for your help
Convert the expression (√3)(∜3) to exponential form. Show your work.
Answer:
(3^1/2)(3^1/4)
Step-by-step explanation:
Use the formula
[tex]\sqrt[n]{a} ^x[/tex] = [tex]a^{\frac{x}{n} }[/tex]
[tex]\sqrt{3}[/tex]
a = 3
n = 2, we do not write it because square root is basically replacing it
x = is a period in this case period is 1
[tex]\sqrt[4]{3}[/tex]
a = 3
n = 4
x = 1
Exact Form:
[tex]3^{\frac{3}{4} }[/tex]
Decimal Form:
2.27950705
…
Hope it helps:)
19. Use the unit circle to find the value of tan 315º.
Show work pls.
Answer: -1
Step-by-step explanation:
First change tan(315) to:
[tex]\frac{\sin(315)}{\cos(315)}[/tex]
Then evaluate the sine and cosine function. What is the y component of 315 degrees? What is the x component of 315 degrees?
[tex]-\frac{\sqrt{2} }{2} /\frac{\sqrt{2} }{2} =-1[/tex]
An Item is regularly priced at $60. It is now priced at a discount of 65% off the regular price. What is the price now?
Answer:
$21
Step-by-step explanation:
There are two ways to do this question:
1. Multiply 60 by .65 and minus the product from the original price ($60)
2. Multiply 60 by .35 (This is because the discounted price maintains 35% of the regular price)
Let's do it both ways:
1. (60)(.65) = 39
60 - 39 = 21
2. (60)(.35) = 21
Therefore, the price now is $21.
I hope this helps!!
- Kay :)
Answer:
$21.00
Step-by-step explanation:
$60.00*(1.00-.65)
$60.00*(35)
$21.00
Select the correct answer,
If x + 10 = 70, what is X?
A
40
B
50
C
60
D
70
E
80
Mario tiene un comercial tecnológico, vende una cámara web HD con una ganancia del 18% sobre el precio de costo. El compró la cámara en $15,00. ¿Cuál es el precio de venta de la cámara?
Answer:
El precio de venta de la cámara es de $17.70.
Step-by-step explanation:
Dado que Mario vende una cámara web HD con una tasa de ganancia del 18%, y compró dicho elemento a $15.00, para determinar el precio de venta del producto se debe realizar el siguiente cálculo:
15 + (15 x 18 / 100) = X
15 + (15 x 0.18) = X
15 + 2.70 = X
17.70 = X
Por lo tanto, el precio de venta de la cámara es de $17.70.
Elena mixes 5 cups of apple juice with with 2 cups of ginger ale to make punch for a party she wants to make 35 cups of punch how much apple juice does she need to buy?
Answer:
25 cups of apple juice and 10 cups of sparking water.
Step-by-step explanation:
Write the equation of the line in fully simplified slope-intercept form???
Answer:
[tex]y = - \frac{4}{5} x + 3[/tex]
Step-by-step explanation:
[tex]b = 3[/tex]
[tex] - 2 = 4a + 3[/tex]
[tex]a = - \frac{4}{5} [/tex]
1) I have 47 marbles. Then, six of my friends each give me seven marbles. How many
marbles do I have?
Answer:
89
Step-by-step explanation:
6x7=42
42+47=89
Answer:
you have 89 marbles
Step-by-step explanation:
basically it's addition and multiplication. All you needed is a piece of paper and a pencil.It'll help:)