Answer:
z₁(s) = - 1.53
Step-by-step explanation:
a) Value of z or z₁(s) area to the right is .9370
1 - 0.9370 = 0.063
Then if area to the left is 0.063 z₁(s) = - 1.53
Help please
DONT SEND ANY LINK
Answer:
This picture represents soldiers raising the flag after the battle of Iwo Jima.
Step-by-step explanation:
This famous photograph is titled Raising the Flag on Iwo Jima. It shows six soldiers raising the flag after the Battle of Iwo Jima on Mount Suribachi during the final parts of the war in the Pacific.
A 2-pound bag of broccoli costs $4.48. What is the price per ounce?
PLEASE HELP
Makayla owns a small business selling used books. She knows that in the last week 58 customers paid cash, 25 customers used a debit card, and 2 customers used a credit card.
Based on these results, express the probability that the next customer will pay with a debit card as a fraction in simplest form.
Answer:
2/5 :)
Step-by-step explanation:
58+2=60+25=85-25=60 60 = 2/5
The solution is 5/17
The probability that the next customer will pay with a debit card is given by the equation A = 5/17
What is Probability?
The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
The value of probability lies between 0 and 1
Given data ,
Let the probability that the next customer will pay with a debit card be A
Now , the equation will be
The number of customers who paid cash last week = 58 customers
The number of customers who used debit card last week = 25 customers
The number of customers who used credit card last week = 2 customer
So ,
The total number of customers = 58 + 25 + 2
The total number of customers = 85 customers
Now , the probability that the next customer will pay with a debit card A = number of customers who used debit card last week / total number of customers
Substituting the values in the equation , we get
Probability that the next customer will pay with a debit card A = 25 / 85
On simplifying the equation , we get
Probability that the next customer will pay with a debit card A = 5 / 17
Therefore , the value of A is 5/17
Hence , the probability is 5/17
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Use the angle relationship in the figure below to solve for x. Assume that lines a and b are parallel and the given angles are given in degrees.
9514 1404 393
Answer:
x = 5°
Step-by-step explanation:
The marked angles are "alternate exterior angles," hence congruent.
2x +90° = x +95°
x = 5° . . . . . . . . . . . . subtract (x+90°) from both sides
Question
Raymond wants to estimate the percentage of parents who use cloth diapers. He asks a randomly selected group of 200
parents whether or not they use cloth diapers. What is the data?
Answer:
Step-by-step explanation:
Given : Raymond wants to estimate the percentage of parents that use cloth diapers. He asks a randomly selected group of 200 parents whether or not they use cloth diapers.
The parameter are the number which are used to represents the quantity of a particular characteristic in entire population.
We know that to estimate the percentage of success we use the proportion of success parameter "p".
Hence, the parameter here is "p" , the proportion of parents that use cloth diapers.
Answer:
specific "yes" or "no" responses to the survey
Step-by-step explanation:
Got it right
You deposit $500 in an investment account. The rate of growth is 6% a year. If you make no further deposits or withdrawals, and the investment is allowed to grow uninhibited, how long will it take for your investment to reach $1,500? Round to the nearest tenth.
A. 18.3 years
B. 45.1 years
C. 27.6 years
D. 8.0 years
With the given compound interest of 6% per year to reach the investment at $1500, it will take 18.3. years thus option (A) is correct.
What is compound interest?Compound interest is applicable when there will be a change in principal amount after the given time period.
For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550.
As per the given,
Principle amount P = $500
Rate of interest r = 6% annually
Total investment = P(1 + r)^T
1500 = 500(1 + 0.06)^T
300 = 1.06^T
Take natural logs on both sides
ln300 = T ln1.06
T = 18.3 years
Hence "With the given compound interest of 6% per year to reach the investment at $1500, it will take 18.3. years".
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The figure shows a plane slicing through a cone. The plane is neither parallel nor perpendicular to the base of the cone, and the plane does not intersect the base of the cone.
==================================================
Explanation:
Imagine that this plane was a saw blade, or a laser, that cut the cone. We would have two pieces and each piece would have a shape of an ellipse on them. The cutting plane would also have the same ellipse shape.
Or you think of the cutting plane as a flat piece of cloth. If we cut everything around the cone, then we would have an ellipse shaped hole as a result.
The reason why we get an ellipse and not a circle is because the plane is angled like that. It needs to be perfectly parallel to the circular base in order to get a circular cross section.
Help pls help pls help pls
Answer: 3900[tex]\pi[/tex] ft^3
if you use the formula on how to find the volume of a cone
V=[tex]\pi[/tex]r^2*h/3
you will insert 30 where the r is, 13 in where h is, after you just solve that and your answer would be 3900[tex]\pi[/tex] ft^3
may you help me with this question?
Step-by-step explanation:
OK so add the 66 and the square=90, so add 66 and 90 then subtract it from 180 and then you will get x
Step-by-step explanation:
On April 30, 1789, George Washington, standing on the balcony of Federal Hall on Wall Street in New York, took his oath of office as the first President of the United States.Examples of magnetic force is a compass, a motor, the magnets that hold stuff on the refrigerator, train tracks, and new roller coasters. All moving charges give rise to a magnetic field and the charges that move through its regions, experience a force.
Find the solution of the differential equation f' (t) = t^4+91-3/t
having the boundary condition f(1) =1/4
Answer:
[tex]\displaystyle f(t) = \frac{t^5}{5} + 91t - 3ln|t| - \frac{1819}{20}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
FunctionsFunction NotationCalculus
Derivatives
Derivative Notation
Antiderivatives - Integrals
Integration Constant C
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle f'(t) = t^4 + 91 - \frac{3}{t}[/tex]
[tex]\displaystyle f(1) = \frac{1}{4}[/tex]
Step 2: Integration
Integrate the derivative to find function.
[Derivative] Integrate: [tex]\displaystyle \int {f'(t)} \, dt = \int {t^4 + 91 - \frac{3}{t}} \, dt[/tex]Simplify: [tex]\displaystyle f(t) = \int {t^4 + 91 - \frac{3}{t}} \, dt[/tex]Rewrite [Integration Property - Addition/Subtraction]: [tex]\displaystyle f(t) = \int {t^4} \, dt + \int {91} \, dt - \int {\frac{3}{t}} \, dt[/tex][1st Integral] Integrate [Integral Rule - Reverse Power Rule]: [tex]\displaystyle f(t) = \frac{t^5}{5} + \int {91} \, dt - \int {\frac{3}{t}} \, dt[/tex][2nd Integral] Integrate [Integral Rule - Reverse Power Rule]: [tex]\displaystyle f(t) = \frac{t^5}{5} + 91t - \int {\frac{3}{t}} \, dt[/tex][3rd Integral] Rewrite [Integral Property - Multiplied Constant]: [tex]\displaystyle f(t) = \frac{t^5}{5} + 91t - 3\int {\frac{1}{t}} \, dt[/tex][3rd Integral] Integrate: [tex]\displaystyle f(t) = \frac{t^5}{5} + 91t - 3ln|t| + C[/tex]Our general solution is [tex]\displaystyle f(t) = \frac{t^5}{5} + 91t - 3ln|t| + C[/tex].
Step 3: Find Particular Solution
Find Integration Constant C for function using given condition.
Substitute in condition [Function]: [tex]\displaystyle f(1) = \frac{1^5}{5} + 91(1) - 3ln|1| + C[/tex]Substitute in function value: [tex]\displaystyle \frac{1}{4} = \frac{1^5}{5} + 91(1) - 3ln|1| + C[/tex]Evaluate exponents: [tex]\displaystyle \frac{1}{4} = \frac{1}{5} + 91(1) - 3ln|1| + C[/tex]Evaluate natural log: [tex]\displaystyle \frac{1}{4} = \frac{1}{5} + 91(1) - 3(0) + C[/tex]Multiply: [tex]\displaystyle \frac{1}{4} = \frac{1}{5} + 91 - 0 + C[/tex]Add: [tex]\displaystyle \frac{1}{4} = \frac{456}{5} - 0 + C[/tex]Simplify: [tex]\displaystyle \frac{1}{4} = \frac{456}{5} + C[/tex][Subtraction Property of Equality] Isolate C: [tex]\displaystyle -\frac{1819}{20} = C[/tex]Rewrite: [tex]\displaystyle C = -\frac{1819}{20}[/tex]Substitute in C [Function]: [tex]\displaystyle f(t) = \frac{t^5}{5} + 91t - 3ln|t| - \frac{1819}{20}[/tex]∴ Our particular solution to the differential equation is [tex]\displaystyle f(t) = \frac{t^5}{5} + 91t - 3ln|t| - \frac{1819}{20}[/tex].
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Integration
Book: College Calculus 10e
Find the area of the triangle. Round to the nearest tenth.
sum of the two angle is equal to 90 degree the ratio of measure of these is 4:5 I what are the measures of these two angle
9x =90
x=90/9
=10
4×10= 40
5×10=50
Pleaseee answer thisss!!
76+2x=180
180-76=2x
104=2x
X=52
Answer:
x=52
Step-by-step explanation:
360=76+90+90+2x
2x=360-256
x=104/2
x=52
Find sin S, sin R , cos S, and cos R.
Answer:
Step-by-step explanation:
sin S=21/75
sin R=72/75
cos S=72/75
cos R=21/75
Answer:
sin R = 72/75
cos R = 21/75
sin S = 21/75
cos S = 72/75
Step-by-step explanation:
sin = opposite side / hypotenuse
sin = adjacent side / hypotenuse
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What is the value of X by CPCTC?
A. 11
B. 8
C. 3
D. 7
E. Not enough info
The value of x by CPCTC is 3.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
We need to find the value of x.
CPCT theorem states that if two or more triangles which are congruent to each other are taken then the corresponding angles and the sides of the triangles are also congruent to each other.
The side x is congruent to the quadrilateral having length 3.
the value of x is 3
Hence, the value of x by CPCTC is 3.
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solve for y
1/4y + 3/6 = 2/3
Answer:
y = 2 /3
Step-by-step explanation:
at what rate percent of interest per annum will #700 gain an interest of #84 in 3 years
Answer:
4% per annum
Step-by-step explanation:
Recall :
Simple interest = principal * rate * time
Given that :
Time = 3 ; simple interest = 84 ; principal = 700
84 = 700 * rate * 3
84 = 2100 * rate
Rate = 84 /2100
= 0.04
= 0.04 * 100% = 4% per annum
PLEASE HELP IM BEING TIMED
Answer:
5
Step-by-step explanation:
x = 10 × Sin ( 30 )
x = 10 × 1/2
x = 5
FREE BRANLIEST PLEASE ANSWER WITH CORRECT EQUATIONS
Answer:
c.153 degrees
Step-by-step explanation:
hope it helps
Linear pairs are supplementary
m<ABD+27=180m<ABD=180-27m<ABD=153°Move each fraction to a box to make each comparison true.
thirty 5 points for this answer. no links.
4(a-2) = 2(a-4) + 2a
Answer:
a = 0
Step-by-step explanation:
4(a-2) = 2(a-4) + 2a
4a - 8 = 2a - 8 + 2a
4a - 2a - 2a = -8 + 8
0 = 0
This has infinitely many solutions.
Step-by-step explanation:
Any number you put for a would work to make them equal. Feel free to try it.
A tree grows exactly one half meter in height per year. The tree is currently 8 meters tall. If someone hammers a nail into the tree at a height of exactly 2 meters, how high will the nail be after 12 years of growth
Answer:
2 meters
Step-by-step explanation:
Given
[tex]a= 8m[/tex] --- initial
[tex]r = \frac{1}{2}m/year[/tex] --- rate
[tex]t = 12\ yrs[/tex]
[tex]Nail = 2m[/tex]
Required
The height of the nail after 12 years
The top of the tree will continue growing at the given rate, however, the height of the nail will remain unchanged.
This is so because when trees grow, they grow from the top; i.e. the heights are increased at the top while the bottom remains unchanged.
Hence, the height of the nail after 12 years in 2m
Does the quadratic have a maximum or minimum
vertex, and does the parabola open up or down?
A)max/ opens up
B)max/ opens down
C)min/ opens up
D)min/ opens down
Answer:
B)max/ opens down
Step-by-step explanation:
Parabola equation:
The equation of a parabola has the following format:
[tex]y = ax^2 + bx + c[/tex]
If [tex]a > 0[/tex], that is, x² is multiplied by a positive number, the function has a minimum value and the parabola opens up.
If [tex]a < 0[/tex], that is, x² is multiplied by a negative number, the function has a maximum value and the parabola opens down.
In this question:
[tex]y = -x^2 - 2x + 3[/tex]
From the graph, we already see that it opens down and has a max, and analitically, since [tex]a = -1 < 0[/tex], this is confirmed. The correct answer is given by option b.
Find the amount after the specified time. A population of 1,236 grows 1.3% per year for 10 years.
Answer:
1,406
Step-by-step explanation:
p = a(1 + r)^t
p = 1,236(1.013)^10
p = 1,406.4131692427
p = 1,406
In 2016, there were approximately 4.46 x 10 people in Asia. On average, a person takes 8.4 x 10 breaths per
year. Using this data, what was the number of breaths of all the people in Asia in 2016? Expressing your answer in
scientific notation in the form a x 10", what are the values of a and b?
What is the value of a?
What is the value of b?
Answer: 4
Step-by-step explanation:
I got this same question buddy im here to see the answer but there were not any
300 ml of an IV fluid contains 50 mcg of Drug A. If a patient is receiving 1000 ml of this IV fluid, how much of Drug A is this patient getting?
Answer: 166.666 mcgs
Step-by-step explanation:
If a patient is receiving 1000 ml of this IV fluid, then the amount of Drug A the patient will be getting is 166.667 mcg.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given that 300 ml of an IV fluid contains 50 mcg of Drug A. Therefore, the ratio of IV fluid to drugs A can be written as,
IV fluid / Drug A = 300ml / 50 mcg
IV fluid / Drug A = 6 ml/ mcg
Now, If a patient is receiving 1000 ml of this IV fluid, then the amount of Drug A the patient will be getting,
IV fluid / Drug A = 6 ml/ mcg
1000 ml / Drug A = 6 ml/ mcg
Drug A = 1000 ml / 6 ml/ mcg
Drug A = 166.667 mcg
Hence, If a patient is receiving 1000 ml of this IV fluid, then the amount of Drug A the patient will be getting is 166.667 mcg.
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The number of new customers n that visit a dry cleaning shop in one year is directly related to the
amount a in dollars) spent on advertising. This relationship is represented by n3 = 13,824a. To
attract 480 new customers, how much should the owners spend on advertising during the year?
Answer:
$15,264 cost amount on new advertising.
Shown as new equation that includes (original + new customer base)
n3=15264a
Step-by-step explanation:
First we have to find original amount of customers as 3 represents a multiple of n
n3=13824a
n3 means n x 3 then customer base is one third
= 1/3 x 13,824 = 4608 original customers per year
= 4608 original customers +480 new customers
4608 + 480 = 5088 total orig+initial customers
5088 x 3 = 15264 cost
= ($)15,264 cost
new equation
n3=15264a
what is the reciprocal of 9/7?
Answer:
its 7/9
Step-by-step explanation:
you just have to flip the fractions
Answer:
7/9
Step-by-step explanation:
Flip the fraction
A baker makes 12 dozen
cookies, 18 dozen muffins, and
22 dozen scones every day.
How many baked goods does
she make in all every day?
Answer:
624
Step-by-step explanation:
12+18+22=52 52×12=624
Answer:
624
Step-by-step explanation:
12x12= 144 cookies
18x12= 216 muffins
22x12= 264 scones
144+216+264= 624
In ΔQRS, the measure of ∠S=90°, SR = 7, QS = 24, and RQ = 25. What is the value of the tangent of ∠Q to the nearest hundredth?
Answer:tanQ=
adjacent
opposite
=
24
7
≈0.2917≈0.29
Step-by-step explanation:
trust me bro
The value of the tangent of ∠Q is 0.96.
What is Trigonometry?One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.
We have,
∠S=90°, SR = 7, QS = 24, and RQ = 25.
Using Trigonometry
tan Q = P/ B
tan Q= 24/ 25
tan Q = 0.96
Thus, the value of tan Q is 0.96.
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