Answer:
-0.6
Step-by-step explanation:
3/5 is 0.6 and the negative makes it -0.6.
Answer:
-0.6
Step-by-step explanation:
A powder diet is tested on 49 people, and a liquid diet is tested on 36 different people. Of interest is whether the liquid diet yields a higher mean weight loss than the powder diet. The powder diet group had a mean weight loss of 42 pounds with a standard deviation of 12 pounds. The liquid diet group had a mean weight loss of 45 pounds with a standard deviation 14 pounds.
Answer:
Step-by-step explanation:
This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean weight loss yield of the powder diet and μ2 be the mean weight loss yield of the liquid diet.
The random variable is μ1 - μ2 = difference in the mean weight loss yield of the powder diet and the mean weight loss yield of the liquid diet.
We would set up the hypothesis.
The null hypothesis is
H0 : μ1 = μ2 H0 : μ1 - μ2 = 0
The alternative hypothesis is
H1 : μ1 < μ2 H1 : μ1 - μ2 < 0
This us a left tailed test.
Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is
(μ1 - μ2)/√(s1²/n1 + s2²/n2)
From the information given,
μ1 = 42
μ2 = 45
s1 = 12
s2 = 14
n1 = 49
n2 = 36
t = (42 - 45)/√(12²/49 + 14²/36)
t = - 1.04
The formula for determining the degree of freedom is
df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²
df = [12²/49 + 14²/36]²/[(1/49 - 1)(12²/49)² + (1/36 - 1)(14²/36)²] = 70.28/1.03
df = 68
We would determine the probability value from the t test calculator. It becomes
p value = 0.15
Assuming a significance level of 0.05, then
Since alpha, 0.05 < than the p value, 0.15, then we would fail to reject the null hypothesis. Therefore, we can conclude that at a 5% significance level, the liquid diet does not yield a higher mean weight loss than the powder diet.
A cone-shaped pile of sawdust has a base diameter of 36 feet, and is 14 feet tall. Find the volume of the pile.
The volume of the cone-shaped pile of sawdust is, 4752 cubic feet.
What is cone?A cone is a three-dimensional geometric structure with a smooth transition from a flat, usually circular base to the apex or vertex, a point that creates an axis to the base's center.
Given that,
Diameter of cone 2r = 36 feet,
Height of cone h = 14 feet.
Since, diameter 2r = 36 ⇒ r = 18 feet
The volume of the cone V = 1/3×π×r²×h
V = 1/3×22/7×18×18×14
= 4752 cubic feet
The volume of the cone-shaped pile is, 4752 cubic feet.
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Natalia is moving into a new house. All together, her furniture weighs 3,204 pounds. If it takes 8 trucks to carry all of Natalia's furniture, what is the average weight load on each truck? A. 640.8 pounds per truck B. 801 pounds per truck C. 1,602 pounds per truck D. 400.5 pounds per truck
Answer:
D
Step-by-step explanation:
The average can be found by dividing the number of pieces (or trucks in this case) by the total, so 3204/8=400.5 pounds, or D as our answer
Given y = 4x + 3, what effect does changing the equation to y = 4x - 3 have on the y-intercept?
A)
graph becomes steeper
B)
no change to y-intercept
C)
graph moves down 3 units
D)
graph moves down 6 units
Answer:
graph moves down 6 units
Step-by-step explanation:
Y intercept of a line is point on y axis where the line crosses the y-axis.
Since the line is of the slope intercept form y = mx+ c
where m is slope of line and c is y intercept
_________________________________________________
Equation of old line : y = 4x + 3
then for equation y = 4x + 3
m: 4 and c = 3
Thus y intercept is +3 unit above the X axis
_________________________________________________
Equation of new line : y = 4x - 3
Similarly based on above explanation
m: 4 and c = -3
Thus y intercept is +3 unit below the X axis.
Thus we can see that y intercept has moved downward
Lets calculate no. of units it moved downward
Distance between them is 3 - (-3) = 6 unit
Thus graph moved 6 units downwards.
Steepness of graph depends on slope of line. The slope is 4 for both the lines and hence there is no change in steepness.
Thus correct answer is graph moves down 6 units
What is the quotient when the sum of 13 and 11 is divided by the difference of 13 and 11
Answer:
12
Step-by-step explanation:
[tex]\dfrac{13+11}{13-11}=\dfrac{24}{2}=12[/tex]
Hope this helps!
3
Solve y - 18 = -3.
a) 15
6
b) 21
9
Oc) -21
12
d) -15
Answer:
Its a) 15
Step-by-step explanation:
solve for 4/5 x ( -2/9 )
Answer:
-8/45
Step-by-step explanation:
4/5 * -2/9
Multiply the numerators
4*-2 = -8
Multiply the denominators
5*9 = 45
numerator over denominator
-8/45
What is the volume of the cone in the diagram
A. 150 pi cubic units
B. 200 pi cubic units
C. 250 pi cubic units
D. 300 pi cubic units
Answer:
A
150 pi cubic units
Step-by-step explanation:
Answer:
Substituting the values r = 5 and h = 18 in the formula V=1/3×πr^2h, you get V=1/3×π×52×18 = 150π cubic units.
Step-by-step explanation:
what does 1/2 (40x60) =
Florida reappraises real estate every year, so the county appraiser's Web site lists the current "fair market value" of each piece of property. Property usually sells for somewhat more than the appraised market value. Here are the appraised market values and actual selling prices (in thousands of dollars) of condominium units sold in a beachfront building in a 93-month period:
Selling price 832 878 628 1067 924 792 645 854
Appraisal value 744.7 842.8 480.9 1005.2 787.9 758.3 548.9 634.3
Selling price 764 708 752 862 720 1099 1301 800
Appraisal value 641.7 514.8 552.9 747.4 475.5 756.3 1039.4 582.8
Here is part of the Minitab output for regressing selling price on appraised value:
Predictor Coef SE Coef T
Constant 227.0989 95.044 2.389
Appraisal 0.8991 0.133 6.76
S = 88.7959 R-Sq = 76.5% R-Sq (adj) = 74.9%
The equation of the least square regression line for predicting selling price from appraised value is (round your answer to at least four decimals):
price appraised value.
Answer:
The equation of the least square regression line for predicting selling price from appraised value is:
[tex]\text{Selling Price}=227.0989 + 0.8991\ \text{Appraised Value}[/tex]
Step-by-step explanation:
The general form of the least square regression line is:
[tex]y=a+bx[/tex]
Here,
y = dependent variable
x = independent variable
a = y-intercept
b = slope
The Minitab output for regressing selling price on appraised value is:
Predictor Coef SE Coef T
Constant 227.0989 95.044 2.389
Appraisal 0.8991 0.133 6.76
S = 88.7959
R-Sq = 76.5%
R-Sq (adj) = 74.9%
The constant term in the regression output represents the y-intercept and the Appraisal coefficient the slope of the regression line.
Then the equation of the least square regression line for predicting selling price from appraised value is:
[tex]\text{Selling Price}=227.0989 + 0.8991\ \text{Appraised Value}[/tex]
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answer:
Answer is (b) The worker with 40 hours of training is paid $1400 per month
idk how to do this , pls help
Answer:
15 times 32 times 6 is 2880
16 times 6 times 2 is 192
2880 plus 192 is 3074
D) 3074
Please help.
The best answer will get brainliest.
Answer:
Mean= 10
Step-by-step explanation:
Mean= Total value of data/Number of datas given
=3+2+26+9/4
=40/4
=10
Mean= 10
A man travelled 450 km on the first day and 565,000 m on the second and the third day he travel double the distance you travel on the first day on the fourth day he reached his destination which was 2500km from his starting point how far did he travel on the fourth
Answer:
1000miles
Step-by-step explanation:
A men travel 585 km on fourth day.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
A man travelled 450 km on the first day and 565,000 m on the second day, the third day he travel double the distance you travel on the first day.
Here, On the fourth day he reached his destination which was 2500km from his starting point.
Let the distance he travel on the fourth day = x
So, We can formulate;
⇒ 450 km + 565,000 m + 2 × 450 km + x = 2500 km
⇒ 450 km + 565 km + 900 km + x = 2500 km
⇒ 1915 km + x = 2500 km
⇒ x = 2500 - 1915
⇒ x = 585 km
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p(x) is a polynomial p(x) divided by (x-9) has a remainder of 1. P(x) divided by (x-4) has a remainder of 7. P(x) divided by (x+4) has a remainder of 0. P(x) divided by (x+9) has a remainder of -5
P(4)=?
P(-9)=?
Answer:
[tex]P(4)=7\,,\,P(-9)=-5[/tex]
Step-by-step explanation:
Given: P(x) has a remainder 1 when divided by [tex]x-9[/tex], P(x) has a remainder 7 when divided by [tex]x-4[/tex], P(x) has a remainder 0 when divided by [tex]x+4[/tex] and P(x) has a remainder -5 when divided by [tex]x+9[/tex]
To find: [tex]P(4),P(-9)[/tex]
Solution:
According to remainder theorem, when a polynomial [tex]P(x)[/tex] is divided by a polynomial [tex]x-a[/tex], the remainder obtained is equal to [tex]P(a)[/tex].
As P(x) has a remainder 7 when divided by [tex]x-4[/tex],
[tex]P(4)=7[/tex]
As P(x) has a remainder -5 when divided by [tex]x+9[/tex],
[tex]P(-9)=-5[/tex]
hus, D satisfying (ABC)DequalsI exists. Why does the expression for D found above also satisfy D(ABC)equalsI, thereby showing that ABC is invertible? Select the correct choice below and, if necessary, fill in the answer box within your choice. A. After substituting the expression for D, the product DABC simplifies to I by repeated application of the associative property and the definition of inverse matrices. B. After substituting the expression for D, left multiplying the product by nothing results in the equation IequalsABCD. C. After substituting the expression for D, taking the inverse of both sides of the equation results in the equation IequalsABCD. D. After substituting the expression for D, right multiplying the pr
Complete Question
The complete question is shown on the first uploaded image
Answer:
First Question
Option A is correct
Second Question
Option C is correct
Third Question
[tex]D = A^{-1} * B^{-1} * C^{-1}[/tex]
Fourth Question
So substituting for D in (ABC) D = I
[tex](ABC) * A^{-1} * B^{-1} * C^{-1} = I[/tex]
[tex]I = I[/tex]
This proof that ABC is invertible
Step-by-step explanation:
From the question we are told that
A , B and C are invertible which means that [tex]A^{-1} , B^{-1}, C^{-1}[/tex] exist
Now
From the question
(ABC) D = I
Where I is an identity matrix
Now when we multiply both sides by [tex]A^{-1}[/tex] we have
[tex]A^{-1} A BCD = A^{-1} * I[/tex]
[tex]IBCD = A^{-1}[/tex]
Now when we multiply both sides by [tex]B^{-1}[/tex] we have
[tex]B^{-1 } *I BCD = A^{-1} * B^{-1}[/tex]
[tex]I CD = A^{-1} * B^{-1}[/tex]
Now when we multiply both sides by [tex]C^{-1}[/tex] we have
[tex]C^{-1} * I CD = A^{-1} * B^{-1} * C^{-1}[/tex]
[tex]I D = A^{-1} * B^{-1} * C^{-1}[/tex]
[tex]D = A^{-1} * B^{-1} * C^{-1}[/tex]
So substituting for D in the above equation
[tex](ABC) * A^{-1} * B^{-1} * C^{-1} = I[/tex]
[tex]I = I[/tex]
This proof that ABC is invertible
If f(x) = 4x + 12 is graphed on a coordinate plane, what is the y-intercept of the graph?
04
08
O 12
0 16
On each trial of a digit span memory task, the participant is asked to read aloud a string of random digits. The participant must then repeat the digits in the correct order. If the participant is successful, the length of the next string is increased by one. For instance, if the participant repeats four digits successfully, he will hear five random digits on the next trial. The participant's score is the longest string of digits he can successfully repeat.
A professor of cognitive psychology is interested in the number of digits successfully repeated on the digit span task among college students. She measures the number of digits successfully repeated for 49 randomly selected students. The professor knows that the distribution of scores is normal, but she does not know that the true average number of digits successfully repeated on the digit span task among college students is 7.06 digits with a standard deviation of 1.63 digits.
a. The expected value of the mean of the 49 randomly selected students, M, is:_____
b. The standard error of M is:______
Answer:
a) The expected value of the mean of the 49 randomly selected students, M, is 7.06 digits
b)
The Standard error of the mean is 0.2328
Step-by-step explanation:
Explanation:-
Given sample size 'n' = 49
The Expected value of the mean of 49 randomly selected students
μₓ = μ =7.06 digits
b)
The Standard error of the mean determined by
[tex]S.E = \frac{S.D}{\sqrt{n} }[/tex]
Given sample size 'n' = 49
The Standard deviation 'σ' = 1.63 digits
The Standard error
[tex]S.E = \frac{S.D}{\sqrt{n} }[/tex]
[tex]S.E = \frac{1.63}{\sqrt{49} } = 0.2328[/tex]
Final answer:-
a) The expected value of the mean of the 49 randomly selected students, M, is 7.06 digits
b) The Standard error of the mean is 0.2328
A right rectangular prism has a height of 15 meters, a length of 4 meters, and a width of 3 meters. Which expressions show how
to calculate the volume? Check all that apply.
VX
2(15+4+3)
15 +4+3
3(4) + 15
60(3)
12(15)
15(4(3)
2(4)(3)(15)
60(4)
Answer:
60(3), 12(15), 15(3)(4)
Step-by-step explanation:
volume of a rectangular prism is the product of all sides which is 15*3*4. 60(3), 12(15), 15(3)(4) are the only ones equal to that.
Answer:
D,E,F
Step-by-step explanation:
ASAP PLEASE
Mike and Jhon has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Mike uses the formula V = π(3)2(7) to find the volume whereas Jhon says his formula V= V = 1/3π(3)2(7) is correct to find the volume.
Who is incorrect ? and why?
Answer:
I can't really see the whole question, but for a cone the volume formula is πr2h
3
Step-by-step explanation:
The diagonal of a square is x units. What is the area of the square in terms of x?
3x square units
x? square units
2x square units
x square units
Answer:
(x^2)/2
Step-by-step explanation:
If the diagonal is x, then the side length is sqrt(x^2/2)
That makes the area (x^2)/2
Answer:
c is wrong thats what i had picked
Step-by-step explanation:
In a study of contamination of fish in the nations' rivers and lakes, the EPA found that 91% of water quality test sites showed the presence of PCB, a cancer-causing agent. Suppose a follow-up study of 200 rivers and lakes in 2018 showed the presence of PCB in 177 cases. Does the statistical evidence support the conclusion that as of 2018 water clean-up programs have reduced the proportion of locations with PCB? Use as level of significance. Based on the above, the hypothesis statement and decision are A. The alternative hypothesis is less than.91/Do not reject the null B. The null hypothesis is greater than and equal to.886/Do not reject the null C. The null hypothesis is less than .855/Do not accept the nul D. The alternative hypothesis is greater than .91 /Do not acoept the null E. The nullis less than .91 /Do not reject the null
Answer:
A. The alternative hypothesis is less than.91/Do not reject the null
Null hypothesis: H0 = 0.91
Alternative hypothesis: Ha < 0.91
z = -1.24
P value = P(Z<-1.24) = 0.11
Rule
If;
P-value > significance level --- accept Null hypothesis
P-value < significance level --- reject Null hypothesis
Z score > Z(at 95% confidence interval) ---- reject Null hypothesis
Z score < Z(at 95% confidence interval) ------ accept Null hypothesis
Step-by-step explanation:
Given;
n=200 represent the random sample taken
Null hypothesis: H0 = 0.91
Alternative hypothesis: Ha < 0.91
Test statistic z score can be calculated with the formula below;
z = (p^−po)/√{po(1−po)/n}
Where,
z= Test statistics
n = Sample size = 200
po = Null hypothesized value = 0.91
p^ = Observed proportion = 177/200 = 0.885
Substituting the values we have
z = (0.885-0.91)/√(0.91(1-0.91)/200)
z = −1.23541552776
z = -1.24
To determine the p value (test statistic) at 0.05 significance level, using a one tailed hypothesis.
P value = P(Z<-1.24) = 0.107488 = 0.11
Since z at 0.05 significance level is between -1.96 and +1.96 and the z score for the test (z = -1.24) which falls with the region bounded by Z at 0.05 significance level. And also the one-tailed hypothesis P-value is 0.11 which is higher than 0.05. Then we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say that at 5% significance level the null hypothesis is valid, therefore do not reject null.
You are given the five number summary from a set of data as follows: Minimum=5, Q1=7, Median=8, Q3=11.5 and Maximum=15. Explain how to find the difference between the Range and the Interquartile Range. Find this difference.
Answer:
a) Range =10
b) inter quartile range = 4.5
Step-by-step explanation:
Explanation:-
Given minimum =5
Median=8
upper quartile (Q3) =11.5
Lower quartile range= 7
Maximum=15
a) Range = maximum value -minimum value
= 15 -5
= 10
b) Interquartile Range = median of upper half - median of lower half
= Q₃- Q₁
= 11.5 - 7
= 4.5
how do you write 5179 in figures
Which is NOT a way to state the meaning of the expression h + 7?
ksnfntntneoeodj because it definitely would not be stating the expression h + 7 so any jumble of words could be your answer
Answer:
Step-by-step explanation:
15 cm
12 cm
7 cm find area
Answer:
1260cm^2
Step-by-step explanation:
15 times 12 = 180
180 times 7 = 1260
A large pizza costs $8.95, plus $0.65 for each additional topping. Ron paid $10.90 for a large pizza. How many additional toppings did he get?
(please show all your work with a let, so, equation(and solution) and therefore statement).
What is the equivalent equation solved for h?
Answer:
[tex]h=\frac{P}{mg}[/tex]
Step-by-step explanation:
If you divide both sides of this equation by mg, you are left with [tex]h=\frac{P}{mg}[/tex], which is the equivalent solution solved for h. Hope this helps!
Answer:
it's B
Step-by-step explanation:
bo and Luke are driving to uncle Jesse's house their car at the generally can go nearly 208 miles on 13 gallons of gas they only have 3 gallons of gas left in the tank but they are 42 miles away from uncle Jesse's house how far can the generally go on 3 gallons of gas in its tank
Answer:
48 miles
Step-by-step explanation:
What we must do is calculate the car's performance, that is, the number of miles per gallon of gas, like this:
208/13 = 16
which means that for each gallon of gas you can travel a total of 16 miles.
They tell us they have 3 gallons of gasoline left so they can go:
16 * 3 = 48
If your goal is 42 miles away, that means you can make it and you still have 6 more miles to go.
What is the surface area of the rectangular pyramid? m2 18 point for how ever awncers this first
Answer:
When all side faces are same
surface area = lw + 1/2 × perimeter × slant height.
When the side faces are different
surface area = base area + lateral area
Step-by-step explanation:
The question you ask is the formula one can use to calculate the surface area of a rectangular pyramid.
The base of a rectangular pyramid is rectangular. The picture below shows how a rectangular pyramid looks like .
The surface area of the rectangular pyramid includes the area of the base and areas of all the triangular faces. This simply implies the area of the rectangular base and the area of each triangular faces. Mathematically, it can be represented below.
The base area(rectangle) = length × width = lw
Area of a triangle = 1/2 × base × height = 1/2bh
Therefore, if all the faces of the triangle are the same(regular pyramid) the total surface area will be
surface area = lw + 1/2 × perimeter × slant height.
Note the triangular faces are 4 in numbers.
If all the sides of the triangle are different the surface are will be
surface area = base area + lateral area
We have to add the triangular faces individually for an irregular pyramid.