The process of producing pain-reliever tablets yields tablets with varying amounts of the active ingredient. It is claimed that the average amount of active ingredient per tablet is at least 200 milligrams. The Consumer Watchdog Bureau tests a random sample of 70 tablets. The mean content of the active ingredient for this sample is 194.3 milligrams, while the standard deviation is 21 milligrams. What is the approximate p-value for the appropriate test
Answer:
p = 0.0116
Step-by-step explanation:
We are given;
Population mean; μ = 200 mg
Sample mean; x¯ = 194.3 mg
Standard deviation; σ = 21 mg
Sample size; n = 70
Formula for z-score is;
z = (x¯ - μ)/(σ/(√n))
z = (194.3 - 200)/(21/√70)
z = -5.7/2.51
z = -2.27
From the z-score table attached, the p-value at z = -2.27 is p = 0.0116
Which number is in the solution set of this equation? 7x − 9 = 40
Answer: the answer is 7
Step-by-step explanation: add 9 to both sides, eliminating -9 so now you have 7x=49 divide both by 7 and you get x= 7 check it by inputing 7 for x, 7(7)-9=40
7(7)=49 next 49-9= 40
it checks out, so x= 7
PLS HELP 10 POINTS
QUESTION IN PIC
Answer:
Some integers are irrational
Step-by-step explanation:
An integer must be a whole number so it will always be rational.
Barry carefully measured all three sides of the triangle and the dimensions were as follows: 7 meters, 8 meters, 10 meters. Was it a Right Triangle? Please help!
Answer: Not a right-angled triangle
Step-by-step explanation:
Given
The sides of a triangle are [tex]7\ m, 8\ m, \text{and}\ 10\ m[/tex]
For a right-angle triangle, it must satisfy the Pythagoras theorem
[tex]a^2+b^2=c^2[/tex]
i.e. the square of the larger side must be equal to the sum of the square of the remaining two sides
Here,
[tex]\Rightarrow 7^2+8^2\ ?\ 10^2\\\Rightarrow 49+64\ ?\ 100\\\Rightarrow 113\neq 100[/tex]
Therefore, it is not a right-angle triangle
Write an equation to show how many times greater the value of a 5 in the tens place is than a 5 in the tenths place
The total bill for drinks and a pizza for three people is $14.90 before tax. The group wants to leave a 15% tip on the cost of the food, not including tax. What will be the amount of the tip?
Answer:
$2.24
Step-by-step explanation:
Since we are trying to find a percentage of something, we can multiply whatever we're trying to find a percentage from by 0.X where X is equal to the number of the percentage. So in this case it's 15%. We can multiply $14.90 by 0.15 and we get 2.23500. Since we cannot have 2.235 dollars, we must round up decimal places.
The tip would be 2 dollars and 24 cents. ($2.24).
2(x+3)=x-4 solving equations
Answer:
X=-10 most likely
Step-by-step explanation:
2x+6=x-4
2x-x=-6-4
X=-10
Answer:
x= -10
Step-by-step explanation:
2(x+3) = x-4
Distribute to simplify left side, 2x+6= x-4-x both sides, x+6= -4subtract 6 both sides, x=-10Wall-E is sending signals that he is driving into a crater at an angle of depression of 58°. If Wall-E covers a horizontal distance of 130 meters, what vertical distance has it traveled?
Answer:
208 meters
Step-by-step explanation:
Wall-E is sending signals that he is driving into a crater at an angle of depression of 58°. If Wall-E covers a horizontal distance of 130 meters, what vertical distance has it traveled?
tan θ = Opposite/Adjacent
θ = Angle of depression
Adjacent = Horizontal distance = 130 meters
Opposite = Vertical distance = x
θ = 58°
tan 58 = x/130 meters
Cross Multiply
x = tan 58 × 130 meters
x = 208.04348878 meters
Approximately = 208 meters
Therefore, the vertical distance it travelled is 208 meters
Mrs. Alley is buying carpet for a rectangular room that measures 12 feet wide and 24 feet long. How many square feet of carpet will Mrs. Alley need?
Someone help please and please make sure the answer is right
Answer:
the answer is 7
Step-by-step explanation:
help please!!!!!!!!!!
Answer:
3125
Step-by-step explanation:
cubed root of 125 = 5
5^5 = 3125
Hope this helps!!
La ultima alternativa es la correcta: 3 125
What is the value of x?
32
54
36
68
Help ASAP plz and thank you
Answer: i think its 36
Step-by-step explanation:
126 = x + 58
x = 126 - 58
x = 68
hope this helps... !!!
consider the image that shows a tower anchored by a guy with the guy wire is attached at point b on the tower 119 feet above the ground and then anchored to the ground at point a 120 feet from the base of the tower.
Options are: A) sin0= 119/120, B) sin0= 120/119, C) sin0= 119/169, and D) sin0= 120/169
Answer:
Step-by-step explanation:
[tex]sin\theta=\frac{opposite}{hypotenuse}\\ \\ sin\theta=\frac{119}{169}\ (answer\ C)[/tex]
what multiple of 9 is a factor of 9
Answer:
9
Step-by-step explanation:
Answer:
( 1 ), ( 3 ), ( 9 )
Step-by-step explanation:
Every time you add one to a digit (which is the same as adding 10, 100, 1000, etc) you get a number that is one more than a multiple of 9, so you have to subtract one from the number, which brings the sum of the digits back to 9.
What is the classification for this polynomial? 6xyz + xy Click on the correct answer. monomial binomial trinomial
Answer:
Binomial
Step-by-step explanation:
the polynomial has two terms 6xyz and xy
what’s the answer to this question
Step-by-step explanation:
I can't see the question. please resend picture
On a map 3 cm represents 21 km. What is the
length of a road in cm if the actual length of the
road is 105 km?
Answer:
`5 centemeters.
Step-by-step explanation:
Just divide the KM by 7 since 21 divided by 3 is 7. So dividing 105 by 7 gives you 15. HOPE THIS HELPS! :)
What is the measure of n?
6
24
n
m
n =
[?]
Answer:
n = 12
Step-by-step explanation:
By applying geometric mean theorem in the given right angle triangle,
[tex]\frac{AD}{BD}=\frac{BD}{DC}[/tex]
BD² = AD × DC
Now substitute the values of each side given,
n² = 6 × 24
n² = 144
n = 12
In your own words, explain the steps you would need to take to find a slope from data in a table.
Answer:
Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
Step-by-step explanation:
Answer:
To Find the slope of a data table, you first need to plot two points on the line. It is easiest if the points are on a coordinate with whole numbers (i.e. (3,6 and (4,8)). Once you have plotted two pints, you then need to take the value of the point with the largest x value, and subtract the other points from it (i.e. (4,8)-(3,6)=(1,2). Then, take the new y value, and divide it by the new y-value (i.e. (2/1), and you have your slope.
Step-by-step explanation:
plot points (3,6), (4,8)
subtract points (4,8)-(3,6)=(1,2)
divide new points 2/1
m=2/1, or 2
Wanna be the Brainiest
Answer:
156cm^3
Step-by-step explanation:
V= 1/2 a*c*h
a=3
c=8
h=13
3*8*13=312
312/2=156
i need help ASAP please
Answer:
umm so i belive you will mulltiply all of thoes together
Step-by-step explanation:
chicken nuggies are good :0
Answer:
number 3
Step-by-step explanation:
p represents amount of tickets sold at the pre-sale and d represents the amount of tickets sold at the door. If you add p + d, that equals the total amount of tickets sold which is 345 tickets.
So:
p + d = 345
Pre-sale tickets (p) cost $7 while tickets at the door (d) cost $10, and the total amount of money mad is $2550.
So:
7p + 10d = 2550
Answer should be the equations in number 3.
Write each expression in scientific notation. Put your answer for EACH part in the text box. You should have 5 answers for this question.
A) 0.04
B) 0.072
C) 0.0000325
D) 0.003
E) 0.23
please help me
Answer:
A) 4 × 10^-2
B) 7.2 × 10^-2
C) 3.25 × 10^-5
D) 3 × 10^-3
E) 2.3 × 10^-1
Step-by-step explanation:
Determine if the two triangles are congruent. If yes, which theorem proves their congruence?
Answer:
Not congruent.
The Angle-Side-Side Postulate does not exist because an angle and two sides does not guarantee that two triangles are congruent. If two triangles have two congruent sides and a congruent non included angle, then triangles are NOT NECESSARILLY congruent.
Step-by-step explanation:
6+6= (mod 4)
Determine what number the sun is congruent to in mod 4
Answer:
c gsudhdbxjxjsjsbhxidhsv susb
Someone help me please help me!!!
Which comparison of the two equations is accurate?
Equation A: sqrt (x^2+3x-6) = sqrt (x+2)
Equation B: ^3 sqrt (x^2+3x-6) = sqrt (x+2)
O Both equations have different solutions because the square root of a number is not the same as the cube root of a number
O Both equations result in different equations after eliminating the radicals, so they have the different solutions
O Both equations have the same potential solutions, but equation A might have extraneous solutions
O Both equations have the same potential solutions, but equation B might have extraneous solutions
Answer:C
Step-by-step explanation:
i took it on edge2021
Answer:
The answer is C.
O Both equations have the same potential solutions, but equation A might have extraneous solutions
Step-by-step explanation:
I just took the quiz on edge.
I need help with fractions
Answer: 3 1/2 represents G and 2 3/4 represents point K
Step-by-step explanation: If you look at the first on it is 3 1/2 because it is in the middle and the second one is divided in fourths so K is 2 3/4.
solve all of these ?
21 Answer:
[tex] \frac{3}{a} [/tex]
22 Answer:
[tex] \frac{1}{ {b}^{3} } [/tex]
23 Answer:
[tex] \frac{ {4a}^{2}c^{3} }{ {b}^{2} } [/tex]
24 Answer:
[tex]9c ^{4} [/tex]
25 Answer:
[tex] - \frac{1}{ {a}^{2} } [/tex]
26 Answer:
[tex] \frac{1}{ {c}^{2} } [/tex]
A mountain climber found that the relationship between his altitude and the surrounding air
temperature is linear. The function f (a) = - -100 a + 75 represents this relationship, where a
is the altitude in meters and f(a) is the temperature in degrees Fahrenheit. According to this
function, by how much is the temperature decreasing for every meter that the mountain climber's
altitude increases?
IF
100
O IF
100
75 F
-75F
Answer:- 1/100 degrees Fahrenheit
Step-by-step explanation:
The directions say decreasing so it has to be negative, and the slope is showing how much it is decreasing every meter. y=mx+b. The mx is the slope which is where the answer is located.
Determine whether a triangle with the given side lengths is a right triangle: 8 cm, 10 cm, 12 cm
When you draw the shape out you dont get a triangle