A sign on a barrel of nuts in a supermarket says that it contains 30% cashews, 30% hazelnuts, and 40% peanuts by weight. You mix up the nuts and scoop out 18 pounds. When you weigh the nuts, you find that you have 5 pounds of cashews, 4 pounds of hazelnuts, and 9 pounds of peanuts. Is there evidence to doubt the supermarket's claim
Answer:
The calculated χ² = 0.842 does not fall in the critical region χ² ≥ 5.99 so we accept the null hypothesis that all the proportions are equal and there is not enough evidence to doubt the supermarket's claim.
Step-by-step explanation:
1) We set up our null and alternative hypothesis as
H0: p1= 5/18, p2= 4/18, p3= 9/18
against the claim
Ha: p1≠ 5, p2≠ 4, p3≠ 9
2) the significance level alpha is set at 0.05
3) the test statistic under H0 is
χ²= ∑ (O - E)²/ E where O is the observed and E is the expected frequency
which has an approximate chi square distribution with 2 d.f
4) Computations:
Observed Expected χ²= ∑ (O - E)²/ E
5 5.4 0.0296
4 5.4 0.3629
9 7.2 0.45
∑ 0.842
5) The critical region is χ² ≥ χ² (0.05)2 = 5.99
6) Conclusion:
The calculated χ² = 0.842 does not fall in the critical region χ² ≥ 5.99 so we accept the null hypothesis that all the proportions are equal and there is not enough evidence to doubt the supermarket's claim.
A food truck sells burgers and hot dogs. During lunch, it sold 88 items for a total of $331. If burgers cost $4.50 and hotdogs cost $3.25, how many of each item were sold?
10.30, 7.85____, 2.95, 0.50 which of the following should be placed in the blank above to complete the pattern?
6.30
5.40
4.85
3.45
How many real solutions does the system have?
y = -3x - 1
y = x^2– 3x + 4
Enter your answer in the box
Answer:
no real solutions
Step-by-step explanation:
Substitute y:
-3x-1 = x^2 - 3x + 4
move terms to one side:
0 = x^2 + 5
x^2 = -5
x = ±√5i
no real solutions
Muided Practice You Understand? Explain the steps involved in evaluating the expression 1. [(4 + 2) - 1] x 3.
Answer:
Step-by-step explanation:
[(4 + 2) - 1] x 3
[6 - 1] x 3
5 x 3
15
Jaxon paid for 6 pounds of meat to be delivered.
Each pound of meat cost $13.75.
Jaxon paid $12.60 for delivery.
What is the total amount Jaxon paid?
A. $156.75
B. $26.35
C. $95.10
D. $89.35
Answer:
C/95.10
Step-by-step explanation:13.75 x 6 =82.5+12.60=95.1
Seth's homework assignment is to write factor pairs that contain only composite
numbers. Seth wrote four factor pairs for the number 132, as shown below.
6 x 22
11 x 12
3 x 44
2 x 66
Which of Seth's factor pairs contains only composite numbers?
F 6 x 22
G 11 x 12
H 3 x 44
J 2 x 66
Answer:
F. 6 x 22
Step-by-step explanation:
6 has more than two factors ( 1, 6, 2, 3), which makes it a composite number.22 has more than two factors (1, 22, 2, 11), which makes it a composite number.Therefore, F is the correct answer.The Seth's factor pairs that contains only composite numbers are
6 × 22.
Composite numbers are numbers with more than 2 factors.
They are natural numbers or positive integers with more than 2 factors. Examples are 15, 10, 20 etc...
The Seth's factor pairs that contains only composite numbers are
6 × 22.
The factors of 6 are 1, 2, 3 and 6
The factors of 22 are 1, 2, 11 and 22.
They both have more than 2 factors.
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20points!!!!
PLEASSEE HELPP
WILL GIVEE BRAINLIEST!!!!!!!!
What is the solution to this system of equations?
x + y = 6
{ x = y +2
0 (3, 3)
o (4, 2)
O (2, 4)
O (6, 4
Answer:
3,3
....................
Please can anyone answer this question
find the value of X in the triangle shown below
Answer:
62.
Step-by-step explanation:
The length 5.7 is the base since it is the side that isn't congruent to 1 mroe side. Therefore, the angles connected to it, including x, is congruent. Sum of angle in triangle=180. given angle 56. 180-56=124. x+x(congruent angles)=124. 2x=124. x=62.
Answer:
62
Step-by-step explanation:
180 - 56 = 124
124/2 = 62
Really need help
Five less than twice what negative number squared is 157?
Answer:
-9
Step-by-step explanation:
2(-x)² - 5 = 157
2x² - 5 = 157
add 5 to each side of the equation:
2x² = 162
divide both sides by 2:
x² = 81
√81 = 9 or -9
A task force to encourage car pooling did a study of of one-way commuting distances of workers in the downtown Dallas area. A random sample of 60 workers was taken. The results are below:One-Way Commuting Distance (miles) Mean12.03333333Standard Error0.712268068Median14Mode16Standard Deviation5.517204729Sample Variance30.43954802Kurtosis-0.84324231Pearson's-1.069382104Range19Minimum1Maximum20Sum722Count60True or False
Answer:
TRUE
Step-by-step explanation:
using the given data for the one way commuting of workers we can conclude that the spread is = 0.458493468
hence the correct option is TRUE
One way commuting is traveling of passengers using a single lane in both directions
Answer y + 7 = 18 show your work
Answer:
11
Step-by-step explanation:
y+7=18
take away 7 by subtracting from both sides
y+7=18
-7. -7
y=11
Answer:
y+7=18(take +7 when it crosses the= sign it changes to -7)
y=18-7
y=11
Is it a cylinder or a sphere?
Answer: Sphere
Step-by-step explanation:
I need an answer so I can get good grades
Answer:
Perimeter of figure = 36.3
Step-by-step explanation:
We'll begin by calculating the perimeter of the rectangle. This can be obtained as follow:
Length (L) = 9
Width (W = 4
Perimeter of rectangle (Pᵣ) =?
Pᵣ = 2(L + W)
Pᵣ = 2(9 + 4)
Pᵣ = 2(13)
Pᵣ = 26
Next, we shall determine the perimeter of semi circle. This can be obtained as follow:
Diameter (d) = 4
Pi (π) = 3.14
Perimeter of semi circle (Pₛ) =?
Pₛ = ½(πd) + d
Pₛ = ½(3.14 × 4) + 4
Pₛ = ½(12.56) + 4
Pₛ = 6.28 + 4
Pₛ = 10.28
Finally, we shall determine the perimeter of the figure. This can be obtained as follow:
Perimeter of rectangle (Pᵣ) = 26
Perimeter of semi circle (Pₛ) = 10.28
Perimeter of figure =?
Perimeter of figure = Pᵣ + Pₛ
Perimeter of figure = 26 + 10.28
Perimeter of figure = 36.28 ≈ 36.3
what is the average of 301,317,167 and 319
Answer:
150658743
Step-by-step explanation:
(301 317 167+319)÷2=150658743
Which Expressions Represent Area?
Answer:
Step-by-step explanation:
Write an equation of the line below.
Answer:
y=-1/3x
Step-by-step explanation:
y=-2/6x
y=-1/3x
y-intercept is 0
What is the area of this trapezoid?
Answer: 6625 sqaure yards
Step-by-step explanation:
Area for a trapezoid formula is A=(base 1 + base 2)·height÷2
So base one is 120 and base two is 10+120+15=145
and the height is 50 so (120+145)·50÷2=6625 The area for the trapezoid is 6625
Indria is wrapping the box below. How much wrapping paper does she need 8in 6in 3 in
Answer:
6pulgadas
Step-by-step explanation:
Which statement can be used to find X
Answer:
it's letter D. cos 16⁰=²¹--x
An independent-samples t test was conducted to compare high-altitude exercise to exercise at sea-level. Imagine the mean comfort level of participants, rated on a 7-point scale where high values reflect high comfort, at high altitude was 3.5 while the average at sea-level was 5.1. Imagine also that values were calculated for sdifference of 1.1, 2.04 for pooled variance, and 35 for degrees of freedom total. What are the critical cutoffs for this test
Answer:
-2.03, 2.03
Step-by-step explanation:
The degree of freedom (df) ;
Df total for the two samples = 35
Therefore, obtuaking the critical value using a T-test distribution at 95% confidence level.
(1 - 95%) / 2 = (1 - 0.95) / 2 = 0.05 / 2 = 0.025
Using a T critical value calculator or t table distribution ;
Tcritical, 0.025, df = 35 = 2.03
Left tail = - 2.03
Right = 2.03
Hence, critical cutoff :
(-2.03 ; 2.03)
Charlotte invested $33,000 in an account paying an interest rate of 7%
compounded continuously. Alyssa invested $33,000 in an account paying an interest
rate of 7% compounded daily. After 19 years, how much more money would
Charlotte have in her account than Alyssa, to the nearest dollar?
Answer:13058
Step-by-step explanation:
A regression equation has been developed in order to help predict the amount of sales made in a clothing store each day (y) based on the number of square feet covered by the store's floor space (x). A sample of 100 similar clothing stores is collected, with floor spaces ranging from 100 square feet to 300 square feet. For each store, the floor space (in square feet) and the amount of sales made that day (in dollars) are recorded. The following regression equation is calculated:
y^ = 2,050 + 54x
Select whether or not each of the following conclusions are correct from the regression analysis: Fill in blank with ither response :Correct or Not correct
a. If the floor space of a store were to increase by one square foot, the predicted increase in sales would be $2,050. ______________
b. If a store has a floor space of 75 square feet, the predicted sales in a day is $6,100. ____________
c. If a store has a floor space of 175 square feet, the predicted sales in a day is $11,500._______________
Answer:
que
Step-by-step explanation:
no sé perdón
Plsss help me due in 10 minutes
Answer:
Its the second one.
Step-by-step explanation:
This is because everytime you multiply s times 1/6, you get r. Hope this helps :)
please no link answers
Phillip decides to invest $800,000 in a period annuity that earns 5.2% APR
compounded monthly for a period of 20 years. How much money will Phillip
be paid each month?
A. $6159.31
B. $5368.43
C. $5200.00
D. $6389.29
The compounded amount after 10 years would be $1,458,293.87.
What is the formula to calculate the compound interest?The formula to calculate the compound interest is -
[tex]$A =P(1 + \frac{r}{n}) ^{nt}[/tex]
Given is that Phillip decides to invest $800,000 in a period annuity that earns 5.2% APR compounded monthly for a period of 20 years.
We can calculate the compounded amount as -
A = 800000(1 + 0.052/12)^(12 x 20)
A = 1,458,293.87
Therefore, the compounded amount after 10 years would be $1,458,293.87.
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Answer: B. 5368.43
Step-by-step explanation:
Take my word.
write the following comparison as a ratio reduced to lowest terms.
94 hours to 8 days
Answer:
11.75:1
Step-by-step explanation:
alrighty right, more unit rates, so we have to get that 8 down to 1. How are we gonna do that? By dividing it by 8. And if we divide one side by 8, we also have to divide the other side:
8 ÷ 8 = 1
94 ÷ 8 = 11.75
So 94 hours to 8 days in lowest terms is 11.75 hours to 1 day
What is the answer no link no links I will report the answer is not 70%
Answer:
75%
Step-by-step explanation:
Answer:
75%
Step-by-step explanation:
In a box-and-whisker plot, the whiskers show the minimum and maximum while the edges of the box show the first and third quartiles. The line in the box shows the median.
Quartile means a quarter of the data.
We're trying to find out what percentage of the students scored between 70 and 100.
70 is right on the 1st quartile mark, while 100 is on the maximum mark.
This means that a quarter of students got lower than 70, and nobody scored over 100 (because it's a test and it's calculated in percentage).
If a quarter of students got lower than 70, that means three-quarters of students got 70 or higher. And since the maximum is 100, and that is also what we're trying to find, the answer is 3/4 of all students.
3/4 = 75%
Hence, the answer is 75%.
Which of the following statements best describes the diagram below?
a. The intersection of two planes is a line.
b. The intersection of two points is a line.
C. Two points can be contained in two planes.
d. Two points can intersect at two planes.
The statement first “The intersection of two planes is a line." option (a) is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have two planes, Y and Z intersecting each other.
The intersection of two lines is a point.
As we know, if the two planes intersect each other, the intersection will be a line.
If planes are parallel then there will no intersection.
Thus, the statement first “The intersection of two planes is a line." option (a) is correct.
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