Answer:
15.87% portion of oak trees in this forest have a circumference greater than 21 inches
Step-by-step explanation:
Given that
Mean = μ = 19.7 inches
SD = σ = 1.3 inches
We have to find the probability of circumference greater than 21 inches
Let x = 21 inches
First of all we have to find the z-score of the value
z-score is given by the formula
[tex]z = \frac{x-mean}{SD}[/tex]
Putting the values
[tex]z = \frac{21-19.7}{1.3}\\z = \frac{1.3}{1.3}\\z = 1[/tex]
We will use the z-score table to find the probability of x<21
P(z<1) = 0.8413
The value gives us the area under the curve up till that value
To find the greater than probability, we have to subtract less than probability from 1.
P(z>1) = 1 - P(z<1) = 1 - 0.8413 = 0.1587 => 15.87%
Hence,
15.87% portion of oak trees in this forest have a circumference greater than 21 inches
what is 4/5divied by 1/3
Answer:
it is 3
Step-by-step explanation:
Answer:2.4
Step-by-step explanation:
Burt's grandparents started a savings account for him when he was born. They invested
$1250 in an account that pays 7.5% interest every year. How much money is in the
account on Burt's 18th birthday?
Answer:
4594.76 USD will be in the account on Burt's 18th birthday.
Step-by-step explanation:
Since interest rate is constant in time, we can use the definition of composite interest to determine how much money will be on Burt's 18th birthday, that is:
[tex]C = C_{o}\cdot \left(1+\frac{r}{100} \right)^{t}[/tex] (1)
Where:
[tex]C_{o}[/tex] - Initial amount, measured in US dollars.
[tex]C[/tex] - Current amount, measured in US dollars.
[tex]r[/tex] - Annual interest rate, measured in percentage.
[tex]t[/tex] - Time, measured in years.
If we know that [tex]C_{o} = 1250\,USD[/tex], [tex]r = 7.5[/tex] and [tex]t = 18[/tex], then the money in the savings account on Burt's 18th birthday is:
[tex]C = (1250\,USD)\cdot \left(1+\frac{7.5}{100} \right)^{18}[/tex]
[tex]C = 4594.76\,USD[/tex]
4594.76 USD will be in the account on Burt's 18th birthday.
A test has 10 questions worth 100 points in total. The test consists of multiple choice questions, which at worth 4 points each, and open-response questions, which are worth 12 points each. How many multiple choice questions are on the test
Given:
A test has 10 questions worth 100 points.
Points of each multiple choice question = 4
Points of each open-response question = 12
To find:
The number of multiple choice questions.
Solution:
Let x be the number of multiple choice questions and y be the open-response questions.
According to the question,
Total question : [tex]x+y=10[/tex] ...(i)
Total points : [tex]4x+12y=100[/tex] ...(ii)
Form (i), we get
[tex]y=10-x[/tex] ...(iii)
Putting this in (ii), we get
[tex]4x+12(10-x)=100[/tex]
[tex]4x+120-12x=100[/tex]
[tex]-8x=100-120[/tex]
[tex]-8x=-20[/tex]
Dividing both sides by -8, we get
[tex]x=\dfrac{-20}{-8}[/tex]
[tex]x=2.5[/tex]
Since x is the number of multiple choice questions, so it cannot be a faction value.
Therefore, the number of multiple choice questions in test are either 2 or 3.
solve the following-
4y + 2+y= 2(2y + 3)
-4
4
-8
8
Answer:
y=4
Step-by-step explanation:
4y+2+y=4y+6
4y-4y+y=6-2
y=4
hope it helps
Answer:
4
Step-by-step explanation:
Find the unit rate: 6 children from 2 families.
2 children per family
1/2 children per family
3 children per family
1/6 children per family
Answer:
The answer is 3 children per family.
Step-by-step explanation:
This is a fraction equal to
6 children ÷ 2 familys =3 children per family.
Just took the quiz.
f(x) = 2\3x -6 identifiy 0
Can someone help mean I know this is easy but it’s not to me lol
Answer:
I. Not a function
II. Not a function
III. Yes, function
IIII. Yep!
(I messed up the numbering in the explanations, sorry 3 is 4 and 4 is 3)
Step-by-step explanation:
Hi!
For a function, every x value must have exactly 1 y value.
f(2) can't equal both 0 and 10. It can only equal 0 or 10. So, because of this, we have a test called the vertical line test. Basically, you drag a line through a graph, and if there is any x value that goes to two (or more) different y-values, then that graph is not the graph of the function.
Let me try to give a practical explanation.
I.
In this graph, everything looks fine until we reach x=6. (I'm assuming the graph goes by ones). Do you see the problem? Yep! x has two different y values.
y= 4 and y= 6.
So, this isn't a function. Why? Because there are two y values for each x value (aka, this doesn't pass the V.L.T)
II.
(1,2), (2,5) , (3,8) , (2,-5) (1,-2)
We have two groups of problem points.
(2,5) and (2,-5) and (1,2) and (1,-2)
Here, each x value goes to a different y value. Therefore, this isn't a function
III. y=x^2
This is your typical parabola. See the graph that I attached.
Notice that -2 and 2 both go to 4. Two different x-values going to the same y-value is fine, but one x can't go to to different y values.
IIII.
(-4,1) , (0,3) , (4,5) , (6,6)
Check 1: Does any x-value go to multiple y values? Nope! So, this is a function.
Find 160% of 90 ??????
Answer:144
Step-by-step explanation:
Answer:
the answer is 144
160/100×90=144
It will cost a total of $7,740 for 18 students to go to New York City for Spring Break. The cost for each student is the same. What is the cost for each student?
$430.00
Step-by-step explanation:
[tex]7740 \div 18 = 430[/tex]
a worker can complete the assembly of 15 chairs in 6 hours. At the rate,how many can the worker complete in a 40-hour work week?
Answer:
ooo
Step-by-step explanation:
oooo
Is this correct and if not can you please help me?
Answer:
No problems here!
Great Job!
Step-by-step explanation:
Rewrite the following equation in slope-intercept form. y - 8 = -8(x + 2)
Step-by-step explanation:
y - 8 = -8(x + 2)
y - 8 = -8x - 16
y = -8x - 8
The slope-intercept form is y = -8x - 8.
Answer:
y = -8x - 8
Step-by-step explanation:
First distribute the -8 into the parentheses
next get the the y by itself
add 8 to both sides and you get
y = -8x - 8
interest 600$ invested at6% compounded annually for 7 years
Answer:
The interest earned is $302.18
Step-by-step explanation:
Compound Interest
It occurs when the interest is reinvested rather than paying it out. Interest in the next compound period is earned on the principal sum plus previously accumulated interest.
The formula is:
[tex]{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
The investment described in the question is of P=$600 at a rate of r=6%=0.06 for t=7 years compounded annually. The compounding period coincides with the time of interest rate, thus n=1.
Applying the formula:
[tex]{\displaystyle A=600\left(1+{\frac {0.06}{1}}\right)^{1*7}}[/tex]
[tex]{\displaystyle A=600\left(1.06}\right)^{7}}[/tex]
A = $902.18
The interest is:
I = A - P = $902.18 - $600 = $302.18
The interest earned is $302.18
solver r=1/2m2p for p
Answer:
p= 2r/m^2
Step-by-step explanation:
Simplify 2 root 1/2 - 6 root 1/8 - 10 root 4/5
Answer:
0.70710678 is 2 root 1/2 simplified
Step-by-step explanation:
a company that makes hair care products had people try a new shampoo of the 200 people 20 had a mild allergic reaction. what percent of the people had mild allergic reaction?
Answer:
4%
Step-by-step explanation:
8 divided by 200 equals 0.04
0.04 times 100 equals 4
Therefore 4 percent of the people had a mild allgergic reaction.
Given angle FGH - angle LMN, which must be true?
Answer:
A, B, C and E are true. Only D is false.
Step-by-step explanation:
can anyone pls tell me the answer to this pls
Answer:
you're lazy count the squares
Step-by-step explanation:
i think i counted 73. You can count the squares again. Then that is the area cm^2
the perimeter i counted 64
Count the edges of the squares and you'll get perimeter. I counted roughly so count carefully.
Which statement is true about the numbers marked on this horizontal number line?
A.
0.25 < -0.25
B.
0.25 > -0.25
C.
-0.25 = 0.25
D.
-0.25 > 0.25
Answer:
B.
Step-by-step explanation:
Answer:
The answer to this issssssss surely B
The number of students that earn straight A's decreases by half
each year. Currently there are 20 students who have all A's. Write
an equation to represent this scenario.
Step-by-step explanation:
20 ÷ 2 = S
S represents the students that have straight A's the next year. You would simply divide the current number of students by 2 and it will give you half the student number you had before. And those are the students who still are getting straight A's.
Find tan A ( write as a decimal rounded to the three decimal places) FIRST ANSWER GETS BRAINIEST
Answer:
[tex]tanA = \frac{28}{21 } = 1.333[/tex]
The diagram below shows the start and finish diagrams of a construction using a compass and straightedge.
Start
Finish
X
F
W
х у
Which of the following statements are true about this construction? Select all that apply.
The construction is of a line perpendicular to FG from a point not on FG
The first step of the construction is to draw a circle with center X
The first step of the construction is to draw the perpendicular bisector of WY.
The second step of the construction is to draw the perpendicular bisector of FG.
O The second step of the construction is to draw the perpendicular bisector of WY.
Answer:
1st and 4th
Step-by-step explanation:
POSSIBLE POINTS 100
A video rental store charges a $20 membership fee and $2.50 for each video rented. Write a linear equation (y=mx++) to model this situation
y = 20x + 25
y = 2.5x + 20
y = 2.5x + 20
y = -20x + 25
y = 20 + 2.5x
have to write more or I cant post this
Jason can travel 23 3/4 miles in 2/3 of an hour. what is his speed in mph
Answer:
I agree buster. I can't even run that far.
Step-by-step explanation:
—5 + 3x + 2 = 12
Solve for x
Answer:
x=5
Step-by-step explanation:
Answer:
x=5
Step-by-step explanation:
It's timed plzzz help!!!
Answer:
2A/p
the last option
Step-by-step explanation:
gl!!!
Question 2 What is the length of segment BC? a:4 b:5 c:6 d:7
Answer:
a
Step-by-step explanation:
How much cheaper per ounce is purchasing 6 ounces for $6.72 compared to purchasing 3 ounces for
$3.48
Answer:
1.60
Step-by-step explanation:
:)
The Davis family is moving, and they estimate that they will need a truck with about 1,250 cubic feet. Which truck do would be best for them to rent?
Lupita bought 7 pounds of pretzels at a local wholesaler for $16.80. Her friend Charles bought 5 pounds of pretzels at the supermarket for $12.75. Charles thinks he got the better deal because $12.75 is less than $16.80. 8a. Is Charles's reasoning correct? Explain why or why not.
Answer:
Charly has the better buy
Step-by-step explanation:
The unit cost is
=16.8/7
=$2.4
Her friend Charles bought 5 pounds of pretzels at the supermarket for $12.75
Unit cost
=12.75/5
=$2.55
Charly got the best deal because the unit cost per item is less than that of the friend