Amos bought 5 cantaloupes for $8. How many cantaloupes can he buy for $24?
The variance in a production process is an important measure of the quality of the process. A large variance often signals an opportunity for improvement in the process by finding ways to reduce the process variance.Machine 12.953.453.503.753.483.263.333.203.163.203.223.383.903.363.253.283.203.222.983.453.703.343.183.353.12 Machine 23.223.303.343.283.293.253.303.273.393.343.353.193.353.053.363.283.303.283.303.203.163.33Conduct a statistical test to determine whether there is a significant difference between the variances in the bag weights for two machines. Use a 0.05 level of significance. What is your conclusion
Answer:
there is significant difference bag weights for two machines
Step-by-step explanation:
Given the data :
Machine 1: 2.95 3.45 3.50 3.75 3.48 3.26 3.33 3.20 3.16 3.20 3.22 3.38 3.90 3.36 3.25 3.28 3.20 3.22 2.98 3.45 3.70 3.34 3.18 3.35 3.12
Machine 2: 3.22 3.30 3.34 3.28 3.29 3.25 3.30 3.27 3.39 3.34 3.35 3.19 3.35 3.05 3.36 3.28 3.30 3.28 3.30 3.20 3.16 3.33
Hypothesis:
H0 : σ1² = σ2²
H1 : σ1² ≠ σ2²
Using calculator, we can obtain the standard deviation of machine 1 and 2 :
Machine 1 : s1 = 0.2211
Machine 2 : s2 = 0.0774
Using the Fratio:
F test = s1² / s2² = 0.2211² / 0.0774² = 8.16
Sample size, n1 = 25 ; n2 = 22
Degree of freedom, n1 - 1 = 25 - 1 = 24 ; n2 - 1 = 22 - 1 = 21
The Pvalue Using the Pvalue from Ftest calculator :
Pvalue < 0.00001
Since Pvalue < α ; We reject the Null and conclude that ; there is significant difference in the bag weights for two machines at 0.05
please please help me please I really need help please
A marching band has 64 members. The band director wants to arrange the band members into a square formation. How many band members will be in each row?
A. 8
B. 7
C. 6
D. 5
Answer:
A. 8
Step-by-step explanation:
sqrt{64} is 8 (8*8)
Answer:
8
Step-by-step explanation:
There are 8 members in each row
Christian Robbie are construction arytenoids stained glass window whose length is 7.3 inches longer than its width if the area of the window is 596.9 in.² find the width and the length
Answer:
w ≈ 21.053 inches
l ≈ 28.353 inches
Step-by-step explanation:
Snail A moved 6 feet in 7 hours. Snail B moved 7 feet in 8 hours. Both snails moved at constant speeds. Which snail went faster?
Answer:
since .875 > .857 Snail B is moving faster
Step-by-step explanation:
divide 6 by 7 to get the number of feet in one hour for Snail A
7 into 6 is .857
divide 7 by 8 to get the number of feet in one hour for Snail B
8 into 7 is .875
I believe the answer to this is:
Snail B went faster than Snail A.
Hope this helps! :D
A sphere has a radius of 7.9 cm. Calculate the spheres volume. Use 3.14 and don't round.
Answer:
[tex]\displaystyle V = 2064.19 \ cm^3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Sphere Formula: [tex]\displaystyle V = \frac{4}{3} \pi r^3[/tex]
r is radiusStep-by-step explanation:
Step 1: Define
Identify variables
r = 7.9 cm
Step 2: Find Volume
Substitute in variables [Volume of a Sphere Formula]: [tex]\displaystyle V = \frac{4}{3}(3.14)(7.9 \ cm)^3[/tex]Evaluate exponents: [tex]\displaystyle V = \frac{4}{3}(3.14)(493.039 \ cm^3)[/tex]Multiply: [tex]\displaystyle V = 2064.19 \ cm^3[/tex]Shift parabolas
f(2)=z²
g(x) = (x+4)^2 - 1
We can think of g as a translated (shifted) version of fi
Complete the description of the transformation.
Use nonnegative numbers.
To get the function g, shift f up/down
by
units and to the right/left
by
units.
There is a bag filled with 3 blue and 4 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 blues?
3 of 7 and the chances of getting red is 4 of 7
Step-by-step explanation:
====================================================
Explanation:
The fraction 3/7 represents the probability of picking a blue marble since there are 3 blues out of 3+4 = 7 total.
Because the first marble is put back, this means the probability of picking blue does not change. So 3/7 is the probability of picking another blue marble.
Overall, we have (3/7)*(3/7) = 9/49 as the probability of picking two blues in a row.
rewrite 2/7 and 1/4 so they have a common denominator
There are 10 boys and 13 girls in Mr. Benson's fourth-grade class and 12
boys and 11 girls in Mr. Johnson fourth-grade class. A picnic committee
of six people is selected at random from the total group of students in both
clasties.
(a) What is the probability that all the committee members are girls?
(b) What is the probability that the committee has three girls and three
boys?
Only answer if you're very good at Math.
Given f(x) = x + 1 and g(x) = x^2, what is ( g o f) (x)?
A: ( g o f) (x) = x^2 + 1
B: ( g o f) ( x) = ( x + 1)^2
C: ( g o f) (x) = x^2 + x + 1
D: ( g o f) ( x) = x^2 ( x + 1)
Answer:
Solution given:
f(x) = x +1 and g(x) = x²,
now
(gºf)(x) =g(fx)=g(x+1)=(x+1)²
B) (gºf)(x) = (x + 1)^2
Steve earns extra money babysitting. He charges $37.00 for 4 hours and $64.75 for 7 hours. Let x represent the number of hours Steve babysits and y represent the amount he charges
Answer:$6.25
Step-by-step explanation:we have that
x------------------> represent the number of hours Steven babysits
y----------------- > represent the amount he charges
for x=6 hours
y=$37.50 ----------------> y/x=37.5/6=6.25
for x=8 hours
y=$50---------------------> y/x=50/8=6.25
therefore
y=6.25x
(Right angle) Trigonometry
Help me find the X value please! Explain what you did to get the answer aswell
Answer:
[tex]x\approx 7.88[/tex]
Step-by-step explanation:
Since we are given the angle and the hypotenuse and we want to find the side opposite to the angle, we can use the sine ratio. Recall that:
[tex]\displaystyle \sin\theta^\circ =\frac{\text{opposite}}{\text{hypotenuse}}[/tex]
Substitute:
[tex]\displaystyle \sin21=\frac{x}{22}[/tex]
Solve for x:
[tex]x=22\sin 21[/tex]
Use a calculator (make sure you're in Degrees mode!):
[tex]x\approx 7.88[/tex]
How many solutions are there for the system of equations shown on the graph?
A coordinate plane is shown with two lines graphed. One line crosses the y axis at 3 and has a slope of negative 1. The other line crosses the y axis at 3 and has a slope of two thirds.
No solution
One solution
Two solutions
Infinitely many solutions
) A desk organizer sells for $35, which includes a markup rate of 60% based on the selling price.
a. Find the markup.
b. Find the cost.
Answer: a. $21
b. $14
Step-by-step explanation:
Selling price of desk organizer = $35
Markup rate = 60%
a. The markup will be:
= Markup rate × Selling price
= 60% × $35
= 0.6 × $35
= $21
Therefore, the markup is $21
b. The cost will then be:
Cost price = Selling price - Markup
= $35 - $21
= $14
It takes Alice 90 minutes to put a futon frame together, and it takes Maya 60 minutes to put the same
type of frame together. If they worked together, how long would it take to put a frame together?
Answer:
36 minutes
Step-by-step explanation:
The equation to determine the time together is
1/a + 1/b = 1/c where a and b are the times alone and c is the time together
1/90 + 1/ 60 = 1/c
Multiply each side by 180c to clear the fractions
180c( 1/90 + 1/ 60 = 1/c)
2c + 3c = 180
5c = 180
Divide each side by 5
5c/5 = 180/5
c =36
Someone help me please
Square root of 121
Find the quotient for 12 2/5 ÷ 1/4
ASAP Pls!!!
Answer:
[tex]49\frac{3}{5}[/tex]
Step-by-step explanation:
Answer:
49 3/5
Step-by-step explanation:
First, convert 12 2/5 into an improper fraction. You should get 62/5. We know that dividing fractions is the same thing as multiplying by the other fraction's reciprical (flip). So, 62/5 divided by 1/4 is the same thing as 62/5*4/1 (4). Lastly multiply straight across to get 248/5. Simplify to get 49 3/5.
Hope this helps
PLEASE HELP!
I have this question worth 20 points if you can answer it. Go to my questions and it's the one before this.
Which expression should you simplify to find the 90% confidence interval, given a sample of 90 people with a sample proportion of 0.25? O A. 0.25 +90 0.25(1-0.25) 1.645 OB. 0.25 + 1.645-0.25 90 O C. 0.25 +1.645 0.25(1-0.25) 90 O D. 0.25 +1.645. V0.25(1–0.25) 90 SUBMIT
Answer:
Option c:
[tex]0.25 \pm 1.645\sqrt{\frac{0.25*(1-0.25)}{90}}[/tex]
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
You have access to first year enrolment records and you decide to randomly sample 119 of those records. You find that 89 of those sampled went on to complete their degree. This means that [tex]n = 119, \pi = \frac{89}{119} = 0.7478[/tex].
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
Sample of 90 people with a sample proportion of 0.25
This means that [tex]n = 90, p = 0.25[/tex].
Confidence interval:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.25 \pm 1.645\sqrt{\frac{0.25*(1-0.25)}{90}}[/tex]
Which is option c.
Prove that : ⬆️⬆️⬆️
Anyone please solve that question.
PLEASE LOOK BELOW!!! (Will give Brainliest)
No links and pls explain!!!!
Answer:
20 = x
Step-by-step explanation:
All interiror angles in this triangle will equal 180
Set your formula up as 180 = x+5+7x-5+x then solve for x
180 = x+5+7x-5+x
180 = x + 7x + x +5 - 5
180 - 5 + 5 = 9x
180 = 9x
180 / 9 = x
20 = x
You can check your result by pluging in 20 for all x
180 = 20+5+7*20-5+20
180 = 180
Given the statement 11^(n -6) is divisible by 5 for every positive integer n. What must be shown in the induction step?
Answer:
Proved
Step-by-step explanation:
The given data is:
[tex]11^n - 6[/tex] not [tex]11^{n - 6[/tex]
Required
Prove by induction that it is divisible by 5
Assume [tex]n = k[/tex]
So, we have:
[tex]11^k - 6 = 5p[/tex] where p is a positive digit
Rewrite as:
[tex]11^k = 5p + 6[/tex]
To solve further, we have to prove that [tex]11^k - 6[/tex] is true for [tex]n=k+1[/tex]
So, we have:
[tex]11^{k+1} - 6[/tex]
[tex]11^{k+1} - 6 = 11^k * 11 - 6[/tex]
Add 0
[tex]11^{k+1} - 6 = 11^k * 11 - 6 + 0[/tex]
Replace 0 with [tex]-5 +5[/tex]
[tex]11^{k+1} - 6 = 11^k * 11 - 6 - 5 + 5[/tex]
[tex]11^{k+1} - 6 = 11^k * 11 - 11- 5[/tex]
Factorize
[tex]11^{k+1} - 6 = 11 (11^k - 1)- 5[/tex]
Substitute [tex]11^k = 5p + 6[/tex]
[tex]11^{k+1} - 6 = 11 (5p + 6- 1)- 5[/tex]
[tex]11^{k+1} - 6 = 11 (5p + 5)- 5[/tex]
Factorize
[tex]11^{k+1} - 6 = 11 *5(p + 1)- 5[/tex]
Factorize
[tex]11^{k+1} - 6 = 5[11(p + 1)- 1][/tex]
The 5 outside the bracket implies that it is divisible by 5
(1/2)5 standard form
Answer:
[tex]\frac{5}{2}[/tex] or 2.5
Hope that this helps!
Select all that apply.
A spinner is divided into 4 equal sections. Which of the following are true?
The experimental probability is for each section.
If the spinner is spun 64 times, you would predict it to land on each section 16 times.
The spinner will land on each section of the spinner an equal number of times.
The theoretical probability is 25% for each section.
Multiple choice!!!
Answer:
(B) If the spinner is spun 64 times, you would predict it to land on each section 16 times.
&
(D) The theoretical probability is 25% for each section.
I got this question right
In each diagram, abc is a straight line. Find the unknown angles.
Answer:
The value of ∠b = 180°
Step-by-step explanation:
Given that;
ABC is a straight line
Another angle is 137°
Find:
The value of ∠a
The value of ∠b
Computation:
We know that, ABC is a straight line
So,
137 + The value of ∠a = 180
The value of ∠a = 180 - 137
The value of ∠a = 43°
The value of ∠b = 360 - 137 - The value of ∠a
The value of ∠b = 360 - 137 - 43
The value of ∠b = 180°
XA
Question 4 of 10
Is the following shape a rectangle? How do you know?
.
A. Yes, the adjacent sides are perpendicular, and the opposite sides
are parallel
B. No, the adjacent sides are not perpanglicular.
C. No, the opposite sides are not parallel
D. There is not enough information to determine
The answer is C. No, the adjacent sides are not perpendicular.
Hope ths helpsFrom Cambridge
Answer
D is the correct answer.
Reason
it is so because rectangle has adjacent perpendicular parallel sides with opposite sides equal
4. How many days of selling bicycles is involved in the study?
b. 40
c. 35
d. 10
a. 45
HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER
can consider the polygon shown. determine the value of y
Answer:
64
Step-by-step explanation:
You can figure it out by adding all the interior angles.
(180-75=105º)
(180-67=113º)
105+113+90=308º
The sum of interior angles is (n-2) × 180 so the sum in his case is
(5-2) ×180=540º
540º-308º=232º
However that is the sum of the two angles but since the angles are the same size, we can divide by 2
232º÷2=116º
We must remember that this is an interior angle so we now can calculate the value of y
180º-116º=64º
The quotient of 4/1/2
Answer:
the quotient is 2
Step-by-step explanation:
4/1=4
4/2=2
which statement is true?
Answer:
A. The slope of Function A is greater than the slope of Function B.
Step-by-step explanation:
The slope of a function can be defined as rise/run. In Function A, the rise/run is 4. The slope in Function B is much easier to see: it is 2. Because 4 is greater than 2, Function A has a greater slope than Function B.