Answer:
Step-by-step explanation:
From the question we are told that:
Lower quartile [tex]x=45[/tex]
Upper quartile [tex]y=87[/tex]
Generally the equation for Mean is mathematically given by
[tex]\=x=\frac{Upper+Lower}{2}[/tex]
[tex]\=x=\frac{x+y}{2}[/tex]
[tex]\=x=\frac{45+87}{2}[/tex]
[tex]\=x=66[/tex]
Since Median m is half middle of distribution
[tex]m=\frac{Upper+Lower}{2}[/tex]
Therefore
[tex]\=x=m[/tex]
[tex]m=66[/tex]
Help plz:)))I’ll mark u Brainliest
Answer:
x = 13.4
Step-by-step explanation:
Use the Pythagorean Theorem
a² + b² = c²
x² + 6.8² = 14.1²
x² = 14.1² - 6.8²
x² = 152.57
Take the square root of both sides
x = 12.3519229272
Rounded
x = 13.4
While baking, Pedro used
3
cup flour and
8
cup flour. How much flour did Pedro use altogether?
Answer:
11 cups of flour..... any other questions?
Step-by-step explanation:
what is the product im simplest form for 3/5×2/3
Answer:
0.4
[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
mr ferry owns a cow, a horse, and a goat.
cow eats 2 1/2 kilograms of grass per day
horse eats 1 1/2 kilo of grass per day
goat eats 3/4 kilo of grass per day
how many kilo of grass should mr ferry buy to feed his 3 animals for 30 days.
if grass costs 125.50 per kilogram. how much will the 30 day supply of grass cost?
Answer:
a. the farmer needs 142.5 kilograms and it will cost 17,883.75 for thirty days of grass for the animals.
Step-by-step explanation:
(.75+1.5+2.5)*30=142.5 kg
142.5*125.50= $17,883.75
Translate (5. – 5) down 3 units.
Then reflect the result over the x-axis.
What are the coordinates of the final point?
Answer:
(5, 8)
Step-by-step explanation:
(5. – 5) down 3 units => (5, -8)
reflect x-axis => (5 , 8)
An orange juice manufacturer advertises a new orange juice product that contains 50% less sugar. This new product is expected to increase profits substantially because they create the 50% less sugar product by replacing 50% of the juice with water while selling it for the same price. An inspector wants to investigate whether the actual percentage of water in the product is within 5% of the intended 50%.
He selects a random sample of 500 containers of orange juice and determined the percentage of each that is water. He plans to conduct a significance test at the a = 0.01 level to see if there is convincing evidence that the proportion of water added is different from 0.50. What is the probability that the inspector makes a Type I error?
Answer:
0.01
Step-by-step explanation:
The probability of making a Type I error is equal to \alphaα = 0.01, the significance level of the test
The probability of type 1 error will then be equal to the hypothesis level of significance and this will be 0.01.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
An orange juice manufacturer advertises a new orange juice product that contains 50% less sugar.
An inspector wants to investigate whether the actual percentage of water in the product is within 5% of the intended 50%.
He plans to conduct a significance test at a = 0.01 level to see if there is convincing evidence that the proportion of water added is different from 0.50.
Type I error is referred to as false positives and it means that when a statistically significant difference is validated by the researcher even though the results aren't statistically significant.
Type I error is when one rejects the null hypothesis even though it's true. In this case, the inspector rejects the hypothesis that the proportion of water that is contained in the product is 0.5.
The probability of type 1 error will then be equal to the hypothesis level of significance and this will be 0.01.
Learn more about probability here;
https://brainly.com/question/11234923
#SPJ2
Solve the inequality. Graph the solution
Answer: y>-2 (The symbol has a underline)
Step-by-step explanation:
Since you want to move -4 to the -6 spot, do the opposite of the negative which is positive. So add +4 to each side. And the -4 will disappear and you will be left with y>-6+4. Solve -6+4= -2 And so the answer is y>-2.
Hope this helps
Rewrite 4 < n, so that the variable is on the left side
Answer:
n > 4 I think is the answer, I'm not 100% sure
Answer:
n<1/4
Step-by-step explanation:
4<n Sub n on both sides
4n<0 Divide by 4 on both sides
n<1/4
solve for y: -4y + 5 > -15
Step-by-step explanation:
-4y+5>-15
-4y>-15-5
-4y>-20
divide both (-)
4y>20
divide through by 4
y>20/4
y>5
Pls help me, if you get it right I will give you Brainlist!
Answer:
Step-by-step explanation:
541,829 541,840 which one of those are greater
829541
Step-by-step explanation:
541,840,829541
In each of the following, find all real numbers x that satisfy the given equation. If none satisfy the equation, then state the answer as "None."
(25/4)^3x = 32/3125
Answer:
The solution is [tex]x = -\frac{5}{6}[/tex]
Step-by-step explanation:
We solve this question using exponential properties.
We have that:
[tex](\frac{25}{4})^{3x} = \frac{32}{3125}[/tex]
Simplifying:
[tex](\frac{5^2}{2^2})^{3x} = \frac{2^5}{5^5}[/tex]
[tex]([\frac{5}{2}]^{2})^{3x} = (\frac{2}{5})^{5}[/tex]
[tex](\frac{5}{2})^{6x} = (\frac{2}{5})^{5}[/tex]
Changing the numerator and denominator in the right side:
[tex](\frac{5}{2})^{6x} = (\frac{5}{2})^{-5}[/tex]
Since both bases are equal:
[tex]6x = -5[/tex]
[tex]x = -\frac{5}{6}[/tex]
The solution is [tex]x = -\frac{5}{6}[/tex]
The average credit card debt for a recent year was $8,776. Five years earlier the average credit card debt was $8,189. Assume sample sizes of 32 were used and the population standard deviations of both samples were $690. Is there evidence to cónclude that the average credit card debt has increased? Use a- 0.05
a. State the hypotheses
b. Find the critical value.
c. Compute the test statistic
d. Make the decision.
e. Summarize the results
Answer:
We reject H₀. We support that the new average credit card debt is bigger than the previous average
Step-by-step explanation:
Five years earlier
μ = 8189
σ = 690
Sample size n = 32
Recent year debt
x = 8776
Sample size n = 32
a) Hypothesis Test:
Null Hypothesis H₀ x = μ = 8189
Alternative Hypothesis Hₐ x > μ
b) z(c) Alternative Hypothesis establishes that the test is a one tail-test to the right.
z(c) for significance level α = 0.05 is from z-table z(c) = 1,64
c) z(s) = ( x - μ ) / σ /√n
z(s) = ( 8776 - 8189 ) / 690 /√32
z(s) = 587 *5,66/ 690
z(s) = 4,81
d) Comparing z(c) and z(s)
z(s) > z(c) Then z(c) is in the rejection region and we reject H₀
e) We have evidence that at 95 % of confidence the new value for the debt in credit card is now bigger than the average
Help plz:)))I’ll mark u Brainliest
One of the two answers is wrong please help guys
Answer:
The first answer is right (18). Second answer is 50= 3.9x+2.8, which is 12.1 so 13 would be the best answer to catch at least 50 fish.
Step-by-step explanation:
the rectangle shown has an area of 105 square inches. the width is x+ 16 inches and the length is x. find the dimensions of the rectangle
Answer:
Length = 5
Width = 21
Step-by-step explanation:
(x)(x + 16) = 105
x^2 + 16x = 105
x^2 + 16x - 105 = 0
(x - 5) x ( x + 21) = 0
x - 10 = 0
x = 5
x + 21 = 0
x = -21
Now that we have the zeroes.
We have to find the most viable one to put in.
Using -21 would not make sense, so we will use 5.
Plug it in:
x = 5
(5) (5 + 16) = 105
5 ( 21) = 105
What statement proves a quadrilateral is a square?
•Quadrilateral ABCD has diagonals that are either congruent or perpendicular bisectors.
• Quadrilateral ABCD has 2 congruent sides and 2 congruent angles.
• Quadrilateral ABCD is a rhombus and a rectangle.
O Quadrilateral ABCD is a trapezoid and a kite.
Answer:
Quadrilateral ABCD has 2 congruent sides and 2 congruent angles.
Identify the parts of a sphere,
a is the
bis the
c is the center
d is the radius
diameter
great circle
HELP 50points
Answer:
Hello, it appears you did not provide an image that was supposed to be included in order to help answer your question, so I'm afraid I cannot assist you without seeing it. If you supply the necessary photo, I would be more than happy to help you.
Find the measure of the indicated angle.
pls help !!
Answer:
5. m<A = 25.3°; m<B = 64.7°
6. m<A = 40.2°; m<B = 49.8°
Step-by-step explanation:
Recall: SOHCAHTOA
5. Reference angle = <A
Opposite = 9
Adjacent = 19
Apply TOA:
Tan A = Opp/Adj
Tan A = 9/19
A = Tan^{-1}(9/19)
A = 25.3461759° ≈ 25.3° (nearest tenth)
Reference angle = <B
Opposite = 19
Adjacent = 9
Apply TOA:
Tan B = Opp/Adj
Tan B = 19/9
B = Tan^{-1}(19/9)
B = 64.6538241° ≈ 64.7° (nearest tenth)
6. Reference angle = A
Opposite = 20
Hypotenuse = 31
Apply SOH:
Sin A = Opp/Hyp
Sin A = 20/31
A = sin^{-1}(20/31)
A = 40.2° (nearest tenth)
Reference angle = B
Adjacent = 20
Hypotenuse = 31
Apply CAH:
Cos B = Adj/Hyp
Cos B = 20/31
B = cos^{-1}(20/31)
B = 49.8° (nearest tenth)
PLEASE HELP! ( 20 points! )
A student needs to calculate their cumulative gpa for high school. 9th grade they got 4.00 for the whole year, 10th grade they got 4.00 for the whole year, and for the 1st semester of 11th grade they got 3.46, and the second semester for 11th grade they got a 4.00. What is the total cumulative gpa after they graduate?
Answer:
15.46
Step-by-step explanation:
Answer:
15.46
Step-by-step explanation: if this isnt it im sory
Let a and b be real numbers were a≠ b ≠ 0. Which of the following functions could represent the graph below?
Answer:
A
Step-by-step explanation:
where the graph
WHERE THE GRAPH???
PLEASE HELP!! Click the picture
Answer:
If y - 4 = 5 then:
y = 5 + 4
y = 9
A jet skier departs from Pier 1, travels 796 meters directly to a buoy, makes a turn, and travels 1054 meters directly to Pier 2, which is 411 meters from Pier 1.
How many degrees was the jet skier's turn?
Round your answer to the nearest whole degree.
9514 1404 393
Answer:
160°
Step-by-step explanation:
The path is a triangle with side lengths 796, 1054, and 411 meters. The turn is opposite the short side. The interior angle of the triangle at that point can be computed using the law of cosines. If we label the sides a, b, c, respectively, then ...
c² = a² + b² - 2ab·cos(C)
C = arccos((a² +b² -c²)/(2ab)) = arccos(1575611/1677968) ≈ 20.116°
The external angle at the buoy is 180° -20° = 160°.
The jet skier's turn was about 160°.
What is the product of (c+8) and (c-5)
Answer:
c/8=9
Step-by-step explanation:
Answer:
c²+ 3c-40
Step-by-step explanation:
hope that helps
Before the trip, Tyler read 24 pages of his Philadelphia guidebook in an hour. The guidebook is 84 pages long. If he continued to read it at the same rate, how long did it take Tyler to finish reading the guidebook before his family’s trip?
Answer:
3 1/2 hours
Step-by-step explanation:
84/24 = 3.5
Bobby investment of $225,000 loses value at a rate of 3% per year after 10 years round to the nearest whole dollar
Answer:
Step-by-step explanation:
5
1/3 to the power of negative 2
Answer:
9
Step-by-step explanation:
1/3 if we multiply it with it self we will get this answer
Distributive Property
3(2x + 2)
Answer: 6x+6
Step-by-step explanation:
3*2x=6x
3*2=6
Therefore 3(2x+2) = 6x+6
what is the probability that the coin will land heads up both times?
Answer:
50% or 1/2
Step-by-step explanation:
A coin has 2 sides so 100/2 equals 50 so either 50% or 1/2. There is your answer
In the xy-plane, the graph of function f(x) has zeros at −5, −2, and 2. Write the polynomial function.
Answer:
[tex]f(x) = x^3 +5x^2-4x-20[/tex]
Step-by-step explanation:
Given
[tex]Zeros: -5,-2,2[/tex]
Required
The polynomial function
If a function has a, b and c as its zeros, the function is:
[tex]f(x) = (x - a)(x - b)(x - c)[/tex]
So, we have:
[tex]Zeros: -5,-2,2[/tex]
[tex]f(x) = (x - (-5))(x - (-2))(x - 2)[/tex]
Open the inner brackets
[tex]f(x) = (x +5)(x +2)(x - 2)[/tex]
Expand the difference of two squares
[tex]f(x) = (x +5)(x^2 - 4)[/tex]
Expand
[tex]f(x) = x^3 +5x^2-4x-20[/tex]