There is a probability of 22.66% that their average catch is less than 31.5 pounds
What is z score?The z score is used to determine by how many standard deviations the raw score is above or belaw the mean. It is given by:
z = (raw score - mean)/ (standard deviation ÷ √sample)
Given that, mean = 32, std = 4, sample = 36, hence:
For 31.5:
z = (31.5 - 32) / (4 ÷√36) = -0.75
P(z < -0.75) = 0.2266
There is a probability of 22.66% that their average catch is less than 31.5 pounds
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Need help as soon as possible
Answer:
100cm
Step-by-step explanation:
divide the shape into smaller shapes then find the area of each and add them together
3. What function can be used to model data pairs that have a common ratio? (1 point)
O linear
O quadratic
Oexponential
Onone of the above
Answer:
The function that can be used to model data Paris that have a common ratio is exponential.
All of the following are TRUE about CPR/AED EXCEPT:
A. CPR is used in emergency situations like a heart attack and near drowning.
B. CPR combines chest compressions and rescue breathing to increase the chance of survival.
C. CPR is guaranteed to keep a person alive until medical personnel arrive.
D. The use of an AED helps to restart the heart's natural rhythm.
Answer:
All are true except C. CPR is not a guarantee to keep someone alive till help arrives. Unfortunately some people die before help gets there regardless of the CPR.
Rewrite the equation below so that it does not have fractions.
3+ 2/3 x = 2/5
Answer:
3 + 2 divided by 3 = 2 divided by 5
Step-by-step explanation:
Three same-sized cubes are glued together as shown below.
f the side length of each cube is 4 inches, what is the surface area of the figure?
A.
240 square inches
B.
192 square inches
C.
224 square inches
D.
288 square inches
Answer:
C
Step-by-step explanation:
the surface consists of
3 front squares
3 back squares
2 right side squares
2 left side squares
2 top squares
2 bottom squares
that means we have in total 14 squares.
one square is 4×4 = 16 in²
so the total surface area is
14 × 16 = 224 in²
High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capability Challenge Exam Students who score in the top 26 percent are recognized publicly for their achievement by the Department of the Treasury. Assuming a normal distribution, how many standard deviations above the mean does a student have to score to be publicly
recognized?
Using the normal distribution, it is found that a student has to score 0.6433 standard deviations above the mean to be publicly recognized.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.The top 26% of the scores are given by scores above the 74th percentile, which corresponds to Z = 0.6433, hence, a student has to score 0.6433 standard deviations above the mean to be publicly recognized.
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Simplify the expression.
a)1/64
b)2^-30
c)64
d)2^30
[tex]\left(\dfrac{(-1)^5}{(-2)^{-3}} \right)^2\\\\\\=\left(\dfrac{-1}{\dfrac{1}{(-2)^3}} \right)^2\\\\\\=\left(-1 \times -8\right)^2\\\\=8^2\\\\=64[/tex]
Answer:
[tex]\huge\boxed{\bf\:64}[/tex]
Step-by-step explanation:
[tex]\left(\frac{(-1)^{5}}{\left(-2\right)^{-3}}\right)^{2}[/tex]
Now, simplify [tex](-1)^{5} = -1[/tex]. Then,
[tex]\left(\frac{-1}{\left(-2\right)^{-3}}\right)^{2}[/tex]
Calculate: [tex](-2)^{-3} = \frac{1}{(-2)^{3}} = - \frac{1}{8}[/tex].
[tex]\left(\frac{-1}{-\frac{1}{8}}\right)^{2}[/tex]
Divide [tex]-1[/tex] by [tex]- \frac{1}{8}[/tex]. The result will be [tex]8.[/tex]
[tex]\left(-\left(-8\right)\right)^{2} \\= 8^{2}[/tex]
Calculate [tex]8[/tex] to its square which is [tex]64.[/tex]
[tex]8^{2}\\=\boxed{\bf\: 64} \: \:\mathrm{(3^{rd} \: option)}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
Evaluate F ( 3 ) :
F ( 3 ) =
X =
Answer:
f(3) = 1
x = 2
Step-by-step explanation:
f(2) = 3 then x = 2
Please ,Check the illustration I provided.
At a local grocery store, each apple cost $1.89 and each orange cost $2.59. A total of 35 apples and oranges were purchased for a total of $79.95. Let x= number of apples and y=number of oranges. Write a system of linear equations that model the given information. Solve the system to determine the number of apples and oranges that were purchased.
x+y=35
1.89x+2.59y=79.95
y=35-x (and now we put this instead of 'y' in the second equation)
1.89x+2.59(35-x)=79.95 (now we solve this equation)
1.89x+90.65-2.59x=79.95
0.7x=10.7
x=15
y=35-15=20
ANSWER:
15 apples
20 oranges
Write the algebraic expression that represents the phrase “the quotient of a number and 4?”
Answer:
x/4
Step-by-step explanation:
Solve x2 - 64 = 0.
1. Isolate x2: x2 = 64
2. Apply the square root property of equality: Vx3 = +/64
3. Isolate the variable:
Answer: x = ±8
Step-by-step explanation:
x^2 – 64 = 0
Add 64 to each side
x^2 – 64 +64= +64
x^2 = 64
Take the square root of each side
sqrt(x^2) = ±sqrt(64)
x = ±8
Felix buys five vests for $22 each, three pairs of shoes for $50 each, and six hats for $17 each. What is the mean amount that he spent?
A. $34.62
B. $32.81
C. $25.86
D. $22
Answer: C
Answer:
$ 25.86 is the answer
Step-by-step explanation:
Anthony has a square-shaped, wooden board. To build a door, he uses the board and cuts 3 feet off of its width. The new area of the wooden board is given by the expression below, where x represents the length in feet.
x(x-3)
Which statement best describes the term (x - 3)?
1/4*3/4=what is the answer
Answer:
3 over 8
3
8
=0.375
Step-by-step explanation:
What is If a = 3, then 2ª=
Answer:
2^3 = 2 * 2 * 2 which equals 8
Step-by-step explanation:
Which of the following steps would you perform to the system of equations
below so that the equations have opposite y-coefficients?
4x+2y - 4
12x - y - 26
O A. Divide both sides of the top equation by 3
O B. Multiply both sides of the top equation by 2
O C. Multiply both sides of the bottom equation by 2
O D. Divide both sides of the bottom equation by 3
Step-by-step explanation:
please mark as brainliest please
PLSSS ANSWER
[tex]\sqrt{28-3(4)}[/tex]
Answer:
[tex]\boxed{\sf{4}}[/tex]Step-by-step explanation:
Use the order of operations to solve this problem.
[tex]\Longrightarrow: \sf{\sqrt{28-3(4)} }[/tex]
Remove parentheses.
→ (4)=4
Rewrite the problem down.
[tex]\Longrightarrow:\sf{\sqrt{28-3*4} }[/tex]
PEMDAS stands for:
ParenthesesExponentsMultiplyDivideAddSubtract→ 28-3*4
Multiply.
→ 3*4=12
→ 28-12
Subtract.
→ 28-12=16
[tex]\Longrightarrow:\sf{\sqrt{16} }[/tex]
[tex]\Longrightarrow\sf{\sqrt{16}=4^2 }[/tex]
Use the radical rule.
[tex]\Longrightarrow: \sf{4^2=\boxed{\sf{4}}[/tex]
Therefore, the correct answer is 4.I hope this helps you! Let me know if my answer is wrong or not.
Answer:
[tex]\±4[/tex]
Step-by-step explanation:
Given expression: [tex]\sqrt{28 - 3(4)}[/tex]
Here, we can see that the terms, 28 and 3(4) are inside the root. Since the two terms are inside the root, we can subtract them. Therefore:
[tex]\implies\sqrt{28 - 3(4)}[/tex][tex]\implies\sqrt{28 - 12}[/tex][tex]\implies\sqrt{16}[/tex]Usually, [tex]\sqrt{16}[/tex] can also be written as [tex]\sqrt[2]{16}[/tex]. Therefore:
[tex]\implies\sqrt[2]{16} = \sqrt[2]{4 \times 4} = \± 4[/tex]Therefore, the simplified expression is ±4.
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Over the last 16 years Johanna saved some of her pay each month. She now has $46,000. She decides to invest some
of it at 5.25% annual interest and the rest at 3.75% annual interest. After one year, her total interest earned from both
accounts is $2001. How much did she invest in each account? (Clearly label which amount is for which account in
your answer.
The amount invested in the account that gives a 5.25% interest is $18400.
The amount invested in the account that gives a 3.75% interest is 27600.
What are the linear equations that represent this question?0.0525a + 0.0375b = 2001 equation 1
a + b = 46000 equation 2
Where:
a = amount invested in the account that gives a 5.25% interest
b = amount invested in the account that gives a 3.75% interest
What is the amount invested in the account that gives a 3.75% interest?
Multiply equation 2 by 0.0525
0.0525a + 0.0525b = 2415 equation 3
Subtract equation 1 from equation 3
414 = 0.015b
b = 27600
What is the amount invested in the account that gives a 5.25% interest ?Subtract 27600 from 46000
46000 27600 = $18400
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Help Me with this please
Answer:
B) Δ+5
Step-by-step explanation:
Means that Austin has $5 more than Mark
Hope this helps
Based on the density graph below, what is the probability of a value in the sample space being anywhere from 60 to 80? Hint: The distance between consecutive horizontal gridlines is 0.004.
PLEASE HELP
Using the area of the right triangle, it is found that the probability of a value in the sample space being anywhere from 60 to 80 is of 16%, hence option A is correct.
What is the area of a right triangle?
The area of a right triangle is given by half the multipliction of it's sides.
In this problem, the total area has sides 0.04 and 50, hence:
T = 0.04 x 50/2 = 1.
The area between 60 and 80 has sides 0.016 and 20, hence:
D = 0.016 x 20/2 = 0.16.
The probability is of 16%, hence option A is correct.
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Answer:
16%
Step-by-step explanation:
80, 85 ,53 , 68 , 99, 87 73, 88, 75, 76, 78, 79, 91 , 95 compute mean of the data
Answer:
80.5
Step-by-step explanation:
80 + 85 + 53 + 68 + 99 + 87 + 73 + 88 + 75 + 76 + 78 + 79 + 91 + 95 = 1,127
mean = total sum / numbers of numbers
mean = 1,127 / 14
= 80.5
Reduce the fraction 1602
-450
Answer:
the redued version of the fration 1602/420 is 3 14/25
Answer:
89/25
Step-by-step explanation:
you divide 1602 and 450
Round your answer to the nearest hundredth.
Answer:
66.42 degrees
Step-by-step explanation:
Cos(angle B) = adj / hyp = 2/5
arc cos (2/5) = angle B = 66.4 2 degrees
After graduation from college, Justin decided to join a new company. He agreed to a salary which will increase by 3.7% each year and will earn 77,536 for his twelfth year of work.
Part A: To the nearest dollar, what is Justins starting salary?
Using an exponential function, it is found that Justin's starting salary was of $50,137.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.In this problem, we have that r = 0.037 and A(12) = 77536, hence:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]77536 = A(0)(1.037)^{12}[/tex]
[tex]A(0) = \frac{77536}{(1.037)^{12}}[/tex]
A(0) = 50137.
Justin's starting salary was of $50,137.
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Among all rectangles that have a perimeter of 172, find the dimensions of the one whose area is largest. Write your answers as fractions reduced lowest terms.
Answer:
43 x 43 units 1849 units^2
Step-by-step explanation:
The largest area will be a square (equla sides)
172 / 4 = 43
a square IS a rectangle
43 x 43
Describe the ratio of corresponding measures in scale drawing and the actual measure they represent
Answer:
More data needed.
Step-by-step explanation:
jijijijiji
What is the slope of a line perpendicular to the line whose equation is
5x – 2y = -10. Fully simplify your answer.
A rectangular picture with perimeter 27 cm is glued in the center of a rectangular piece of cardboard. There is a 1 cm margin ( of empty cardboard) all around the picture. What is the perimeter of the piece of cardboard.
Answer:
35 cm
Step-by-step explanation:
Each dimension of the picture is increased by twice the width of the margin. If the original picture has dimensions L×W, then the cardboard has dimensions (L+2)×(W+2).
The perimeter formula tells you the perimeter is ...
P = 2(L +W)
__
The cardboard perimeter will be ...
P' = 2((L +2) +(W +2)) = 2(L +W +4)
P' = 2(L +W) +8
P' = P +8
If the original perimeter is 27 cm, the cardboard perimeter is ...
P' = 27 +8 = 35 . . . . cm
The perimeter of the cardboard is 35 cm.
1) Graph y = f(x) = 3(2)%. Adjust the equation to make the y-intercept (0, -3). Which response is not correct?
A) Replace 3 with -3.
B) Replace x with -x.
C) Add -6 to the right side.
D) Replace x with -x and subtract 6 from the right side.
Using the concept of y-intercept, it is found that the response that is not correct is given by:
B) Replace x with -x.
What is the y-intercept of a function?It is the value of the function when x = 0, hence it is the point (0, f(0)).
In this problem, the function is:
[tex]f(x) = 3(2)^x[/tex]
The y-intercept is given by:
[tex]f(0) = 3(2)^0 = 3[/tex]
If we just replace x with -x, we still have the same expression as above, hence the y-intercept does not change and option B is the answer to this question.
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HELP ASAP 20 BRAINLY POINT PLUS USER HELPPP
Answer:
A
Step-by-step explanation:
(m / 3) = (12 / 3) = 4
1/2 x 4 = 2
2 + n = 2 + 3/5 = 2 and 3/5 = 13/5
Answer:
13/5
Step-by-step explanation: