Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
The is no sufficient evidence to support the claim that the less than 1% of the cards are defective
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 600[/tex]
The population proportion of defective samples is p = 0.01
The sample proportion of defective samples is [tex]\^ p = 0.03[/tex]
The level of significance is [tex]\alpha = 0.01[/tex]
The null hypothesis is [tex]H_o : p = 0.01[/tex]
The alternative hypothesis is [tex]H_a: p < 0.01[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\^ p - p }{ \sqrt{ \frac{p( 1 - p )}{n} } }[/tex]
=> [tex]t = \frac{0.03 - 0.01 }{ \sqrt{ \frac{0.01( 1 - 0.01 )}{600} } }[/tex]
=> [tex]t = 0.00406[/tex]
From the z table the area under the normal curve to the left corresponding to 0.00406 is
[tex]p-value = P(Z < 0.00406 ) = 0.50162[/tex]
comparing the p-valve and the level of significance we see that the
[tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
The is no sufficient evidence to support the claim that the less than 1% of the cards are defective
phrases can be used to represent the inequality 6.5x+ 1.5 s 21? Select two options. The product of 6.5 and the sum of a number and 1.5 is no more than 21. The sum of 1.5 and the product of 6.5 and a number is no greater than 21. O The product of 6.5 and a number, when increased by 1.5, is below 21. The product of 6.5 and a number, when increased by 1.5, is at most 21. The sum of 1.5 and the product of 6.5 and a number is at least 21. Save and Exit Net Mark this and return
This question is incomplete
Complete Question
Phrases can be used to represent the inequality 6.5x+ 1.5 ≤ 21? Select two options. The product of 6.5 and the sum of a number and 1.5 is no more than 21. The sum of 1.5 and the product of 6.5 and a number is no greater than 21. O The product of 6.5 and a number, when increased by 1.5, is below 21. The sum of 1.5 and the product of 6.5 and a number is at least 21.
Answer:
The product of 6.5 and a number, when increased by 1.5, is at most 21.
The product of 6.5 and a number, when increased by 1.5, is below 21.
Step-by-step explanation:
We are given the inequality is: 6.5x+ 1.5 ≤ 21
The sign ≤ is known as Less than or equal to.
≤ can also be said to be = at most
Therefore, the Phrases that represents the inequality
6.5x+ 1.5 ≤ 21 is:
* The product of 6.5 and a number, when increased by 1.5, is at most 21.
* The product of 6.5 and a number, when increased by 1.5, is below 21.
Answer:
b and c
Step-by-step explanation:
Which equation describes how the parent function, y = x°, is vertically stretched by a factor of 4?
A: y=x^3+ 4
B: y-(x+4)^3
C: y-4x^3
D: y=x^4
What is 0.7439 rounded to the nearest hundredth need help
Answer:
0.74
Step-by-step explanation:
0.7439 = 0.74
The product of 3 and r
Answer and Step-by-step explanation:
The product of something is when two things multiply each other.
The product of 3 and r would then be 3r.
This is because we are multiplying 3 by r, which results in 3r.
#teamtrees #WAP (Water And Plant)
The product of 3 and r is 3r.
Product of 3 and r is to determine.
Product of two values or more is the number of times one value to the other.
Here,
Product can be given as
= 3 x r
= 3r
Thus, The product of 3 and r is 3r.
Learn more about product here:
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Help plz ASAP
To convert a distance of 12,000 feet to miles, which ratio could you multiply
by?
A.
5280 feet
1 mile
B.
1 foot
5280 miles
C.
12 inches
1 foot
D.
1 mile
5280 feet
Answer:
B.
Step-by-step explanation:
A social studies teacher orders several large maps for his classroom. The maps are to be shipped in a cylindrical
mailing package with a radius of 3 inches and a volume of 1,356.48 cubic inches.
What is the height of the mailing package? Use 3.14 for pi
A. 36 inches
В. 48 inches
C. 144 inches
D. 72 inches
A biologist recorded a count of 348 bacteria present in a culture after 5 minutes and 1088 bacteria present after 20 minutes. To the nearest whole number, what was the initial population ?
Answer:
The initial bacteria population is 238
Step-by-step explanation:
Let us have the increase as an exponential equation
P(t) = I(1 + r)^t
where P(t) is the count at a particular time
r is the percentage increase
I is the initial population
t is the time
So for 5 minutes, we have
348 = I(1 + r)^5
For 20 minutes
1088 = I(1 + r)^20
Divide the second equation by the first
1088/348 = I(1 + r)^20/I(1 + r)^5
3.13 = (1 + r)^15
Take the ln of both sides
ln 3.13 = 15 ln (1 + r)
ln 3.13/15 = ln (1 + r)
0.0761 = ln (1 + r)
1 + r = e^0.0761
1 + r = 1.079
r = 1.079-1
r = 0.079 which is 7.9%
So per minute. we have an increase of 7.9%
So let’s get I by substituting
From;
348 = I(1 + 0.079)^5
348/1.079^5 = I
I = 237.9 which is 238 to the nearest whole number
find the slope of the line that passes through (48,44) and (6,9)
HELP NOW PLEASE ASAP!!
Answer:
The answer is D, your welcome
Answer:
The 2nd answer is correct.
Step-by-step explanation:
Between x = - 4 and x = - 1 the function is represented by a straight line (and is therefore lineair). Moreover, the value of y increases when moving to the right (and therefore the function is increasing).
The difference of 10 and 3 times x .
Answer:
10-3x that would be 7x
Step-by-step explanation:
10-3=7
7times x=7x
can i plz have brainliest?
plz?
HURRY I ONLY HAVE 3 MINUTES
Answer:3rd one down
Step-by-step explanation
Answer:
The answer is the 2nd option [tex]h(x) = \sqrt[3]{x+2}[/tex]
Step-by-step explanation:
The parent cube root function intersects the origin (0,0). Putting a positive two with the x under the cube root moves the function 2 units to the left. So the second answer is correct.
If b=5 and c=2 what is for the missing side a= ? by Use the Pythagorean Theorem to find
Answer:
4.58
Step-by-step explanation:
Using the formula
a^2=(c^2)-(b^2)
a^2=(5^2)-(2^2)
a^2=25-4
a^2=21
Using Square root on Both Sides
a=4.58
HURRY I NEED THE ANSWER !!!!!!
Which equation corresponds to the graph shown?
Write the truth value (T/F) of each of the following statements:
(1)The general of two similar figures are the same.
(2)The corresponding angles of two similar figures are congruent.
(3)The perimeter of two similar figures are always congruent.
(4)The side lengths of two similar figures are always congruent.
(5)The areas of two similar figures are always congruent.
Please help, i’ll give brainlist! :))
Answer:
False,True,True,True,True I think
Juanita works in a bakery. She uses 10 eggs to make 3 cakes, 16 eggs to make 5 cakes, and 25 eggs to make 8 cakes. What rule does Juanita follow when she bakes cakes?
A. c = 3e + 4
B. e = c + 7
C. e = 3c + 1
D. c = 3e + 2
Answer:
ur answr is C)e = 3c + 1
Step-by-step explanation:
if u take ur number of cakes times 3 and add one, you get the rite amount of eggs each time.
Hope this helps!! Pls mark me brainliest!!
30 POINTS!!!!
A scuba diver is swimming at a depth of 46 meters below sea level. He swims 0.5 meters toward the surface every 3 seconds.
What is his location relative to the surface after 15 seconds?
Answer:
The scuba diver would be 43.5 meters from the surface after 15 seconds
Step-by-step explanation:
So first we need to take 0.5 and multiply it by 5 since we know 15 divided by 3 is equal to 5, and we get 2.5
We then take 46 and subtract 2.5 from it, resulting in 43.5
It takes 12 hours to fill a pool with two pipes, where the water in one pipe flows three times as fast as the other pipe. How long will it take the slower pipe to fill the pool by itself
For a field trip, a highschool want to buy T-shirts and sweatshirts. The expression px + 29y repersents the cost of buying x T-shirts and y sweatshirts from the store. If each sweatshirt cost $17 more than a T-shirt what is the value of p ?
Answer:
The value of p is $12.
Step-by-step explanation:
Given;
c = px + 29y ,,,,,,,,,,,,,,,,,,, (1)
Where;
c = cost of buying x T-shirts and y sweatshirts from the store
p = price of one or each T-shirt = ?
x = number of T-shirts bought
29 = price of one or each sweatshirt
y = number of sweatshirt bought
Based on the above breakdown, if each sweatshirt cost $17 more than a T-shirt, the value of p can be calculated as follows:
29 = p + 17
p = 29 - 17
p = 12
Therefore, the value of p is $12.
Additional note:
Note that this is not part of the question but it is just an example to make you understand the question better.
If we assume that 10 T-shirts and 10 sweatshirts are bought from the store, we can use equation (1) above to calculate the cost as follows:
Where;
c = cost of buying x T-shirts and y sweatshirts from the store = ?
p = price of one or each T-shirt = 12
x = number of T-shirts bought = 10
29 = price of one or each sweatshirt
y = number of sweatshirt bought = 10
Substituting the values into equation (1), we have:
c = (12 * 10) + (29 * 10)
c = 120 + 290
c = 410
Therefore, the cost of of buying 10 T-shirts and 10 sweatshirts from the store will be $410.
PLEASE HELP! 40 POINTS! How can you solve for x in the proportion StartFraction 7 over 8 EndFraction = StartFraction x over 24 EndFraction? (The proportion is: 7/8 = x/24)
a.Set the sum of 7 and 8 equal to the sum of 24 and x, and then solve for x.
b.Set the sum of 7 and 24 equal to the sum of 8 and x, and then solve for x.
c.Set the product of 7 and 8 equal to the product of 24 and x, and then solve for x.
d.Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x.
Answer:
as isyllus says, Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x.
Step-by-step explanation:
We given the fraction to be solved:
Using cross multiplication method:
i.e. Numerator of Left Hand Side term to be multiplied with Denominator of Right Hand Side term and put equal to multiplication of denominator of Left Hand Side term to Numerator of Right Hand Side term.
So, the first step to be carried out as per cross multiplication method:
Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x.
Step-by-step explanation:
plzzz help meeWhich of these copper wires has the
highest resistance?
A 0.5 mm diameter, 10 cm long
B 0.5 mm diameter, 20 cm long
C 1.0 mm diameter, 10 cm long
D 1.0 mm diameter, 20 cm long
Answer:
A. option is your answer.... hope it helps you friend ❤️.....and please follow me19(2m−16)=13(2m+4) (pls helppp)
Answer:
Simplified this is -304 + 38m = 52 + 26m
m in the equation is 29 2/3
Step-by-step explanation:
Reorder the terms:
19(-16 + 2m) = 13(2m + 4)
(-16 * 19 + 2m * 19) = 13(2m + 4)
(-304 + 38m) = 13(2m + 4)
Reorder the terms:
-304 + 38m = 13(4 + 2m)
-304 + 38m = (4 * 13 + 2m * 13)
-304 + 38m = (52 + 26m)
Simplfied answer:
-304 + 38m = 52 + 26m
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-26m' to each side of the equation.
-304 + 38m + -26m = 52 + 26m + -26m
Combine like terms: 38m + -26m = 12m
-304 + 12m = 52 + 26m + -26m
Combine like terms: 26m + -26m = 0
-304 + 12m = 52 + 0
-304 + 12m = 52
Add '304' to each side of the equation.
-304 + 304 + 12m = 52 + 304
Combine like terms: -304 + 304 = 0
0 + 12m = 52 + 304
12m = 52 + 304
Combine like terms: 52 + 304 = 356
12m = 356
Divide each side by '12'.
m = 29.66666667
Simplifying
m = 29.66666667 = 29 2/3
A particular lawn mower is on sale at two different stores. The original price at both stores was $130. Watson’s Garden Shop is advertising the mower for 50% off. Hartman’s Home Center reduced the mower 40%, and then took an additional 15% off the reduced price. Which lawn mower is the better deal?
Answer:
130$
Step-by-step explanation:
What is the solution of the equation: - 7 – x = 20
Step-by-step explanation:
Given
- 7 - x = 20
- x = 20 + 7
- x = 27
therefore x = - 27.
I don’t know how to write this out and I’m to lazy to figure out how
Step-by-step explanation:
There is a technical glitch due to which the answer is not being submitted here. Thus, I am attaching the sloution via attaching a file.
Please check the explanation in the attached file.7th grade math help me pleaseee
no, -6+2= -4
not -6 +(-2)
BRUH I NEED HELP PLEASE !!!
Enter your answer as a whole number or a fraction in simplest form
Answer:
what was the zoom thing again???
Step-by-step explanation:
Katherine invested $86,000 in an account paying an interest rate of 52%
compounded daily. Michael invested $86,000 in an account paying an interest rate of
5% compounded continuously. After 13 years, how much more money would
Katherine have in her account than Michael, to the nearest dollar?
Answer: $4,331
Step-by-step explanation:
I will assume that the question meant 5.2% not 52% as this is quite excessive.
Katherine after 13 years.
Convert the variables;
n = 13 years = 13 * 365 = 4,745 days
r = 5.2% = 5.2/365 = 5.2/365%
Future value = P * ( 1 + r)^n
= 86,000 * (1 + 5.2/365%)⁴⁷⁴⁵
= $169,068
Michael after 13 years;
If compounded continuously, the formula is;
Future value = Pe^rt
= 86,000 * e⁰.⁰⁵ ˣ ¹³
= $164,737
Difference = 169,068 - 164,737
= $4,331
Write as a mixed number.
4/3
Answer:
1 1/3
Step-by-step explanation:
hope this helps!! : D
1 1/3 sorry if this is wrong!
Tom buys some shirts for $15 each. He has a coupon for $9 off the total price. If he pays $36, how many shirts, s, did he buy? Choose the correct equation to solve.
1 point
Answer:
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
3*15 = 45
45-9 = 36, so he has enough money
can you help me plaese fast
Step-by-step explanation:
Divided by zero is undefined. Hence B is the answer.
Answer:
the answer is B
Step-by-step explanation:
A number divided to 0 is undefined