Answer:
let Elijah age be a
Then
2*a + 17 =47
2a=47-17
2a=30
a=15
Step-by-step explanation:
find solutions to the linear equation y=−10x+30.
-412-(-223) worked out
Answer:
-189
Step-by-step explanation:
Remember to follow the rules of signs:
- If there are two positive signs next to each other, you add:
- If there is one negative sign and one positive sign next to each other, you subtract.
- If there is two negative signs next to each other, you add:
- 412 - (-223) = -412 + 223
Subtract:
223 - 412 = -189
-189 is your answer.
~
ree heights: Cherry trees in a certain orchard have heights that are normally distributed with mean μ = 119 inches and standard deviation σ = 17 inches. Use the TI-84 PLUS calculator to answer the following. Round the answers to at least four decimal places. (a) What proportion of trees are more than 130 inches tall? (b) What proportion of trees are less than 90 inches tall? (c) What is the probability that a randomly chosen tree is between 95 and 105 inches tall? Part: 0 / 30 of 3 Parts Complete Part 1 of 3 What proportion of trees are more than 130 inches tall? The proportion of trees that are more than 130 inches tall is .
Answer:
a) 0.2588
b) 0.044015
c) 0.12609
Step-by-step explanation:
Using the TI-84 PLUS calculator
The formula for calculating a z-score is is z = (x-μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
From the question, we know that:
μ = 119 inches
standard deviation σ = 17 inches
(a) What proportion of trees are more than 130 inches tall?
x = 130 inches
z = (130-119)/17
= 0.64706
Probabilty value from Z-Table:
P(x<130) = 0.7412
P(x>130) = 1 - P(x<130) = 0.2588
(b) What proportion of trees are less than 90 inches tall?
x = 90 inches
z = (90-119)/17
=-1.70588
Probability value from Z-Table:
P(x<90) = 0.044015
(c) What is the probability that a randomly chosen tree is between 95 and 105 inches tall?
For x = 95
z = (95-119)/17
= -1.41176
Probability value from Z-Table:
P(x = 95) = 0.07901
For x = 105
z = (105 -119)/17
=-0.82353
Probability value from Z-Table:
P(x<105) = 0.2051
The probability that a randomly chosen tree is between 95 and 105 inches tall
P(x = 105) - P(x = 95)
0.2051 - 0.07901
= 0.12609
What is the value of the expression below when x=8? 10x+5
solve each inequality and graph the solutions , ILL MARK BRAINLIST !!!!
Answer:
m>6
Step-by-step explanation:
The reaction of the body to a dose of medicine can sometimes be represented by an equation of the formR = M^2 (C/2- M/3),where C is a positive constant and M is the amount of medicine absorbed in the blood. If the reaction is a change in blood pressure, R is measured in millimeters of mercury. If the reaction is a change in temperature, R is measured in degrees, and so on. Find dR/dM. This derivative, as a function of M, is called the sensitivity of the body to the medicine.
Answer:
The derivative is [tex]\frac{dR}{dM} = CM - M^2[/tex]
Step-by-step explanation:
From the question we are told that
The equation representing the reaction is [tex]R = M^2 (\frac{C}{2} - \frac{M}{3} )[/tex]
Generally this equation can be represented as
[tex]R = \frac{C M^2}{2} - \frac{M^3}{3}[/tex]
Generally [tex]\frac{dR}{dM}[/tex] as a function of M is mathematically represented as
[tex]\frac{dR}{dM} = 2 * \frac{C M^{2 - 1 }}{2} + 3 * \frac{M^{3-1}}{3}[/tex]
=> [tex]\frac{dR}{dM} = CM - M^2[/tex]
Question 11 of 17
What division equation does the model show ?
What is 400,000 rounded to the nearest ten thousand
Answer:
400, 000 is rounded to the nearest ten thousand
Step-by-step explanation:
There is nothing to round
Multiply the following binomials:
(x + 10)(x - 5)
Answer:
X^2+5x-50
Step-by-step explanation:
X^2-5x+10x-50
Answer:
X² - 5x + 10x - 50
Step-by-step explanation:
Use the FOIL method!
Kathy's car runs almost 21 miles on a gallon of gas. If Kathy needs to travel 250
miles, at least how much gas does she need to reach her destination? Express your
answer to the nearest whole gallon.
Оа
Ob
Oc
Od
at least 8 gallons.
at least 10 gallons.
at least 12 gallons.
at least 14 gallons
Answer:
at least 8 gallons
Step-by-step explanation:
What is the scale factor from polygon ABCD to polygon PQRS??
Answer:
We need the grid to figure this out
What is the difference between 9 and -2?
7
11
-7
-11
Answer:
7
The difference between 9 a positive number and - 2 a negative number is 7 because the question States 9 - 2.
Solve the following and explain your steps. Leave your answer in base-exponent form. (3^-2*4^-5*5^0)^-3*(4^-4/3^3)*3^3 please step by step!!!!
Answer:
[tex]\boxed{2^{\frac{802}{27}} \cdot 3^9}[/tex]
Step-by-step explanation:
I will try to give as many details as possible.
First of all, I just would like to say:
[tex]\text{Use } \LaTeX ![/tex]
Texting in Latex is much more clear and depending on the question, just writing down without it may be confusing or ambiguous. Be together with Latex! （＊＾Ｕ＾）人（≧Ｖ≦＊）/
[tex]$(3^{-2} \cdot 4^{-5} \cdot 5^0)^{-3} \cdot (4^{-\frac{4}{3^3} })\cdot 3^3$[/tex]
Note that
[tex]\boxed{a^{-b} = \dfrac{1}{a^b}, a\neq 0 }[/tex]
The denominator can't be 0 because it would be undefined.
So, we can solve the expression inside both parentheses.
[tex]\left(\dfrac{1}{3^2} \cdot \dfrac{1}{4^5} \cdot 5^0 \right)^{-3} \cdot \left(\dfrac{1}{4^{\frac{4}{3^3} } }\right)\cdot 3^3[/tex]
Also,
[tex]\boxed{a^{0} = 1, a\neq 0 }[/tex]
[tex]\left(\dfrac{1}{9} \cdot \dfrac{1}{1024} \cdot 1 \right)^{-3} \cdot \left(\dfrac{1}{4^{\frac{4}{27} } }\right)\cdot 27[/tex]
Note
[tex]\boxed{\dfrac{1}{a} \cdot \dfrac{1}{b}= \frac{1}{ab} , a, b \neq 0}[/tex]
[tex]\left(\dfrac{1}{9216} \right)^{-3} \cdot \left(\dfrac{1}{4^{\frac{4}{27} } }\right)\cdot 27[/tex]
[tex]\left(\dfrac{1}{9216} \right)^{-3} \cdot \left(\dfrac{27}{4^{\frac{4}{27} } }\right)[/tex]
[tex]\left( \dfrac{1}{\left(\dfrac{1}{9216}\right)^3} \right)\cdot \left(\dfrac{27}{4^{\frac{4}{9} } }\right)[/tex]
[tex]\left( \dfrac{1}{\left(\dfrac{1}{9216}\right)^3} \right)\cdot \left(\dfrac{27}{4^{\frac{4}{27} } }\right)[/tex]
Note
[tex]\boxed{\dfrac{1}{\dfrac{1}{a} } = a}[/tex]
[tex]9216^3\cdot \left(\dfrac{27}{4^{\frac{4}{9} } }\right)[/tex]
[tex]\left(\dfrac{ 9216^3\cdot 27}{4^{\frac{4}{27} } }\right)[/tex]
Once
[tex]9216=2^{10}\cdot 3^2 \implies 9216^3=2^{30}\cdot 3^6[/tex]
[tex]\boxed{(a \cdot b)^n=a^n \cdot b^n}[/tex]
And
[tex]$4^{\frac{4}{27}} = 2^{\frac{8}{27} $[/tex]
We have
[tex]\left(\dfrac{ 2^{30} \cdot 3^6\cdot 27}{2^{\frac{8}{27} } }\right)[/tex]
Also, once
[tex]\boxed{\dfrac{c^a}{c^b}=c^{a-b}}[/tex]
[tex]2^{30-\frac{8}{27}} \cdot 3^6\cdot 27[/tex]
As
[tex]30-\dfrac{8}{27} = \dfrac{30 \cdot 27}{27}-\dfrac{8}{27} =\dfrac{802}{27}[/tex]
[tex]2^{30-\frac{8}{27}} \cdot 3^6\cdot 27 = 2^{\frac{802}{27}} \cdot 3^6 \cdot 3^3[/tex]
[tex]2^{\frac{802}{27}} \cdot 3^9[/tex]
At sunrise on monday the temperature in new haven, ct is -5f. By noon the temperature is 14 degrees warker and by sunset the temperature is 9 degrees colder than it was noon
Answer:
0 degrees faranhiet
Step-by-step explanation:
when you add 14 and -5 you get 9 then the question says 9 degrees cooler so that would translate to the problem 9 - 9 which you get zero.
Use the add-on method for determining interest on a loan of $1730, with an annual rate of 12% and a term of 2 years. Then, determine the annual interest rate during the last month of the loan.
Use the add-on method for determining interest on a loan of $1730, with an annual
PLS HELP ME I HAVE A FEW MINS TO ANSWER I'LL DO WHAT EVER YOU WANT JUST HELP ME
Answer:
a. 160-24=g
b. 160-24=g
-24
136=g
c. 136
Sam takes a sheet of paper and cuts from one corner to the opposite
comer, making two triangles. If the length of the cut is 41 inches and
the paper is 22 inches long, what is the width of the sheet of paper
(nearest tenth)?
41 in
22 in
width
Answer:
The width is 34.6
Step-by-step explanation:
You have to assume that the cut is a straight cut.
Givens
c = 41
a = 22
b = ?
Formula
a^2 + b^2 = c^2
Solution
22^2 + b^2 = 41^2
484 + b^2 = 1681 Subtract 484 from both sides
484-484 + b^2 = 1681-484 Combine
b^2 = 1197 Take the square root of both sides.
sqrt(b^2) = sqrt(1197)
b = 3*sqrt(133)
b = 34.598
b = 34.6
What is equivalent to (r^-7)^6
Jose and Mila are buying jelly beans. Jose’s bag of jelly beans weighs 1.5 pounds. Mila’s bag of jelly beans weighs 2.75 pounds. If the jelly beans cost $4.00 per pound, how much will the jelly beans cost altogether?
17 dollars total for Jose and Mila's jelly beans.
Add 1.5 and 2.75 together to get 4.25
Multiply 4.25 by 4 to get 17
One should continue to monitor his or her goals and adjust his or her plan for achieving them when it is necessary.
Please select the best answer from the choices provided
True or false
Answer:
true
Step-by-step explanation:
(x - 3) - 2x + 6)=-5
Answer: x=8
Step-by-step explanation:
pls help
A coffee shop needs to purchase custom cups. Company C charges a flat fee of $155 plus $15 per cup. Company D does not have a flat fee but charges $30 per cup.
What is the minimum number of cups that must be ordered for company C to be a better deal than company D?
Answer:
i think it would be 11 cups
what type of number is 18.62?
that is a rational number.
ZA and B are complementary angles. If mA = (6x + 22)° and m
ZB = (7x + 16)°, then find the measure of ZB.
Is -4/-5 positive or negative
Answer:
Positive
Step-by-step explanation:
A negative divided by a negative can cancel out to make a positive. So, [tex]\frac{-4}{-5} = \frac{4}{5}[/tex].
I hope this helps!
Answer:
i believe its positive because 2 negatives make a positive
HELP ASAP WILL MARK BRAINLY
Answer:
[tex]\frac{61}{99}[/tex]
Step-by-step explanation:
let x = 0.616161 (etc.)
make a second equation because you multiply by 100:
100x = 61.616161 (etc.)
subtract from each other
100x = 61.616161
x = 0.616161
you get
99x = 61
solve for x
[tex]\frac{61}{99}[/tex]
What is 6/20 of a dollar
BRAINLIEST IS RIGHT
Answer: 30 cents
Step-by-step explanation:
1/20 of a dollar is 5 cents
Then we multiply by the numerator (6) to get our answer....
5x6= 30
Hoped this helps! :)
Answer two questions about Equations A and B:
A.
42 +2 = 6 - 2
B.
52 + 2 = 6
1) How can we get Equation B from Equation A?
Choose 1 answer:
Answer:
B. Add/subtract the same quantity from both sides.
in this case, it would be adding x to both sides to simplify the equation.
Answer: ADD/SUB THE SAME QUANTITY TO/FROM BOTH SIDES
YES: THEY ARE EQUIVALENT
Step-by-step explanation:
£72 in the ratio 5:4
Answer:
40:32
Step-by-step explanation:
5+4= 9.
72 / 9 = 8
5x8:4x8
aka
40:32
There are 35 students in art class and 57 students in dance class. Find the number of students who are either in art class or in dance class. Find
When two classes meet at different hours and 12 students are enrolled in both activities. ( 2marks)
When two classes meet at the same hour. ( 2 marks)
Answer:
a. 80 students
b. 92 students
Step-by-step explanation:
Represent arts students with A and Dance students with D.
So, we have,
n(A) = 35
n(D) = 57
Required
Determine n(A or D)
Solving (a):
Here, we have:
n(A and D) = 12
n(A or D) is calculated as thus:
n(A or D) = n(A) + n(D) - n(A and D)
n(A or D) = 35 + 57 - 12
n(A or D) = 80
b. From the given details
n(A and D) = 0 because both students are not mixed up as in (a) above
Using the same formula as (a).
n(A or D) = n(A) + n(D) - n(A and D)
n(A or D) = 35 + 57 - 0
n(A or D) = 92
