Step-by-step explanation:
[tex] \cos((90 - a) - b) = \cos(90 - a) \cos(b) + \sin(90 - a) \sin(b) [/tex]
[tex] \sin(a) \cos(b) + \cos(a) \sin(b) [/tex]
how do I put this in correctly
Answer:
to be honest I really don't know
8 1/3--(1/2x+1/3)
Simplify
Answer:
8-1/2x
Step-by-step explanation:
8 1/3 = 25/3
25/3 - 1/2x - 1/3
25/3 - 1/3 - 1/2x
24/3 - 1/2x
8 - 1/2x
Final Answer: 8 - 1/2x
Past insurance company audits have found that 2 percent of dependents claimed on an employee’s health insurance actually are ineligible for health benefits. An auditor examines a random sample of 7 claimed dependents. (a) What is the probability that all are eligible? (b) That at least one is ineligible?
Using the binomial distribution, it is found that the probabilities are given by:
a) 0.8681 = 86.81%.
b) 0.1319 = 13.19%.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem, we have that:
98% of the employees are eligible, hence p = 0.98.A sample of 7 was taken, hence n = 7.Item a:
The probability is P(X = 7), hence:
P(X = 7) = 0.98^7 = 0.8681 = 86.81%.
Item b:
The probability is:
P(X < 7) = 1 - P(X = 7) = 1 - 0.8681 = 0.1319 = 13.19%.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
Solve the inequality - 6 x > 42
what happens to the inequality sign when you divide by a negative number
Answer:
the inequality sign changes when dividing by a negative number
Answer:
x < -7
Step-by-step explanation:
-6x > 42
First you want to divide off -6 to isolate x
[tex]\frac{-6x}{-6}[/tex] = [tex]\frac{42}{-6}[/tex]
keeping in mind what you do to one side of the equation you have to do to the other side.
Whenever you divide with a negative number the inequality sign flips from < to > and vice versa.
after you divide off the -6 your left with x < [tex]\frac{42}{-6}[/tex] which equals -7.
Hope this helps.
if 2 1/2 kg of biscuit cost $15 , find the cost of 2kg of biscuits
It is a easy question btw ;-;
Step-by-step explanation:
[tex]2 \times \dfrac{1}{2} \: kg \\ \\ = \frac{5}{2} kg \\ \\ = 2.5kg[/tex]kg of biscuit cost $ 15 .
We have been asked to find the cost of 2Kg of biscuits.
First Let's find the cost of 1Kg biscuit
[tex] \tt\implies \: cost \: of \: 1 \: kg \: biscuit \: = \dfrac{15}{2.5} \\ \\ \: \: \tt\implies \: cost \: of \: 1 \: kg \: biscuit \: = 6 \: dollar[/tex]
Then Cost of 2Kg biscuit would be
[tex] \tt\implies \: cost \: of \: 1kg \: biscuit \: = 2 \times 6 \\ \\ \tt\implies \: cost \: of \: 1kg \: biscuit \: = \: 12 \: dollar[/tex]
Hence, the cost of 2 kg biscuit is 12$ .
Which is true?
The number 100 is reduced by 30%. The number X is the result of that calculation increased by 30%. The number Y is equal to 100.
Which statement is true?
Answer: Your equation will look like this, where “N” is the number and “R” is the intermediate result
N−(N∗30/100)=R
R+(R∗50/100)=525
Simplifying and solving for R, we get:
R+0.5R=525 ← reducing 50/100
1.5R=525 ← combining R terms
R=350 ← dividing both sides by 1.5
Now, we need to solve for N:
N−0.3N=350 ← reducing 30/100
0.7N=350 ← combining N terms
N=500 ← dividing both sides by 0.7
hope this helps you
What is the answer to the word problem to solve
1 1/2 long and 2 1/3
Answer:
12.8333333333 is the answer
Please help me with question 44
Answer:
Answer is a
Step-by-step explanation:
I don't want to explain
Oxford backslap soaps a soaps Sox a
Answer:
what
Step-by-step explanation:
If you know the ratio of 2 numbers and you want to find out what happens to the ratio if you increase one number, which operation should you use?
A) addition
B) division
C) multiplication
D) subtraction
Answer:
B) division
C) multiplication
Step-by-step explanation:
Ratios give the relation between two quantities.
For example, if two quantities A and B have a ratio of 1:3, it means that:
- for every quantity of A, B has three times more (multiply)
- for every quantity of B, A has three times less. (divide)
Examine the following typical corporate bond listing: Bonds Case Nat.Chg. 1 NYTel 7- 33 69 18 3 101 4 8 In the name column, NYTel is the abbreviated name of the company (New York Telephone) issuing the bond. What does the number 7, represent? interest or coupon rate b. maturity date of the bond C current yield of the bond d. the difference in price from the previous close
According to this typical corporate bond listing of New York Telephone, the number 7, represents A. interest or coupon rate.
What is a bond interest rate?The bond interest rate is the annual interest (coupon) rate paid on a bond.
The amount of interest is expressed as a percentage of the face value.
The bond interest (rate or amount) represents the periodic compensation that is due in exchange for the bondholder's agreement to lend their funds to the entity for some period.
Thus, the number 7, represents A. interest or coupon rate., not the maturity date, current yield, or the difference in price.
Learn more about bond interest rates at https://brainly.com/question/13990294
Answer: interest or coupon rate
Step-by-step explanation:
got 100% on the test
Divida: 8519 ÷ 27 (Escriba su contestación expresando el cociente "R" (residuo) Ej. 15 R 4
Answer:
315.518518519
Step-by-step explanation:
27 goes into 8519 315 Tim Ed s
Find the value of x. 3) 2x (x + 21)
To find the x-intercept, substitute in
0
for
y
and solve for
x
. To find the y-intercept, substitute in
0
for
x
and solve for
y
.
x-intercept(s):
(
0
,
0
)
,
(
−
21
,
0
)
y-intercept(s):
(
0
,
0
)
A circular mirror is surrounded by a square metal frame. The radius of the mirror is 3x. The side length of the metal frame is 18x. What is the area of the metal
frarno?
Marla’s mom bought a 36-pack of water bottles at the supermarket. Each bottle has 500 mL of water. How many liters of water is this?
1,800
36
18
3,6000
____________________________________________________________________8.
The best unit of measure for the liquid in a tea cup is the liter.
True
False
____________________________________________________________________10.
Every week, Marla’s mom buys 24 bottles of water that each have 16 oz. How many pints of water is this?
32 cups
12 cups
16 cups
24 pints
Answer:
See below.
Step-by-step explanation:
First one is 18 liters.
Second is false.
Third is 24 pints.
1) B.
2) A.
3) A.
4) True.
5) B.
-hope it helps
Answer:
18 liters, false, 24 pints
Step-by-step explanation:
Hope this helps
5/6x-1/3=2x-5 solve for x
I NEED HELP PLEASELELLSLLSKFOR SOM POINTS
Answer:
A
Step-by-step explanation:
Looking at the median data, there is a higher amount of people waiting in line for coffee on Wednesday, than there is on Sunday.
What is the measure of angle y in this figure?
Step-by-step explanation:
180-163= 17
163+17=180
x and z = 17
y=163
A pie is split into 3 equally sized
pieces.
Each piece has an area of 79 in?
What is the total area of the pie?
the total area of the pie is 237
Write an expression for each of these situations. You can choose your own letters, but make sure you write what your letters represent.
The total cost of seven drinks and six bags of potato chips.
The total value of three rings is doubled.
Answer:
[tex]7d+6b[/tex]
[tex]6r[/tex]
Step-by-step explanation:
let [tex]d[/tex] be the cost of a drink
let [tex]b[/tex] be the cost of a bag of potato chips
and let [tex]r[/tex] be the cost of a ring
[tex]7d[/tex] is the cost of seven drinks
[tex]6b[/tex] is the cost of 6 bags of potato chips
so we add them together to get [tex]7d+6b[/tex]
[tex]3r[/tex] is the cost of three rings
[tex]2(3r)[/tex] is the cost of three rings but doubled
we can expand this to [tex]6r[/tex] which is the cost of 6 rings (or the cost of two rings but doubled)
Ron takes 30 minutes to walk a distance of 1800 meters find the taken by Ron to walk a distance of 3000 meters
Answer:
50 minutes.
Step-by-step explanation:
We need to find how long it takes to walk 600 meters. We can do that by 1800/3 and 30/3 which comes out to 10 minutes every 600 meters. We can then just multiply 600*5 and 10*5 which gives us 3000 meters takes 50 minutes.
NO LINKS!! Please help me with this problem. Part 4.
===========================================================
Explanation:
The problem mentions "see the figure" but the figure above the text does not match the problem itself. I'm assuming the figure is shown below the given text, which unfortunately, is cut off from the screenshot.
The good news is that I think I can recreate what's being described. See the image below.
The things to focus on are the left-most and right-most triangles. We'll use the tangent ratio to help determine x and y. Afterward, compute x+y to get the total distance between the buildings.
First we have,
tan(angle) = opposite/adjacent
tan(32) = 500/x
x*tan(32) = 500
x = 500/tan(32)
x = 800.1673
Using similar steps, you should find that,
y = 500/tan(23)
y = 1177.9262
Therefore,
x+y = 800.1673+1177.9262
x+y = 1978.0935 feet is the approximate distance between Soldier Field and Adler Planetarium.
This is of course assuming that the diagram shown below matches with what your textbook has. Round the answer however you need.
Rita takes 3 h to type a report. What part of typing can she do in 2 h? in x h?
Answer:
Solution: Part = 2/3 part
Step-by-step explanation:
A gym employee is payed monthly. After working for 3 Months, he had earned $4,500. To determine how much money he will make over a six month period, he created the table below. After how many months will the gym employee have made $19,500?
Brainliest if correct
Answer:
ok so 1/6 + 1/3, or 2/6 = 3/6 = 1/2
Complete the table of values and sketch the graph of y = -3(2) x
A principal of $4800 is invested at 5.5% interest, compounded annually. How much will the investment be worth after 5 years?
Answer:
A = $6273.41
Step-by-step explanation:
[tex]\displaystyle A = P \big{(}1+ \frac{r}{n} \big{)} ^{nt}[/tex]
A = Amount of the investment in the futureP = Principal value (initial amount)r = Interest rate n = Number of times interest is compounded per yeart = Time (years)Substitute all of the known values into this equation.
[tex]\displaystyle A = 4800\big{(}1 + \frac{.055}{1}\big{)} ^{(1)(5)[/tex]
Solving for A in this equation gives us an answer of:
[tex]A = 6273.41[/tex]
Therefore, the investment will be worth $6273.41 after 5 years.
A new anxiety medication has been manufactured and a study is being conducted to determine whether its effectiveness depends on dose. When 40 milligrams of the medication was administered to a simple random sample (SRS) of 60 patients, 21 of them demonstrated lower stress levels. When 75 milligrams of the medication was administrated to another SRS of 85 patients, 34 of them demonstrated lower stress levels. Which of the following test statistics is an appropriate hypothesis test?
The test statistics is used to determine if the anxiety medication can happen under a null hypothesis
The test statistics that is an appropriate hypothesis test is [tex]z =\frac{0.35 - 0.40}{\sqrt{\frac{0.35(1 - 0.35)}{60} + \frac{0.40(1 - 0.40)}{85}}}[/tex]
How to determine the test statistic40 milligrams of medication
Patients = 60
Lower stress level patients = 21
The mean of this medication is:
[tex]\bar x = \frac{x}{n}[/tex]
So, we have:
[tex]\bar x_1 = \frac{21}{60}[/tex]
[tex]\bar x_1 = 0.35[/tex]
75 milligrams of medication
Patients = 85
Lower stress level patients = 34
The mean of this medication is:
[tex]\bar x = \frac{x}{n}[/tex]
So, we have:
[tex]\bar x_2 = \frac{34}{85}[/tex]
[tex]\bar x_2 =0.4[/tex]
The test statistic is then calculated as:
[tex]z =\frac{\bar x_1 - \bar x_2}{\sqrt{\frac{\bar x_1(1 - \bar x_1)}{n_1} + \frac{\bar x_2(1 - \bar x_2)}{n_2}}}[/tex]
The equation becomes
[tex]z =\frac{0.35 - 0.40}{\sqrt{\frac{0.35(1 - 0.35)}{60} + \frac{0.40(1 - 0.40)}{85}}}[/tex]
Hence, the test statistics that is an appropriate hypothesis test is [tex]z =\frac{0.35 - 0.40}{\sqrt{\frac{0.35(1 - 0.35)}{60} + \frac{0.40(1 - 0.40)}{85}}}[/tex]
Read more about test statistic at:
https://brainly.com/question/15980493
The answer is not B.
Suppose that x is a differentiable function of t and that y=5x+4, then
dy/dt=
Use either dx/dt or x'(t) in your answer.
If dx/dt=6 when x=-2, then
dy/dt|x=-2=
Answer:
dy/dt = 30
Step-by-step explanation:
y = 5x + 4
dy/dx = 5
dy/dt = dy/dx * dx/dt = 5 * 6 = 30
A teacher needs to purchase notebooks and pencils for her students. Notebooks come in packages of 6 and pencils in packages of 10. The table shows the cost of the items. What is the least amount of money the teacher can spend and have the same number of notebooks and pencils.
Answer:
$31.00
Step-by-step explanation:
Given:
1 package = 6 notebooks = $5.001 package = 10 pencils = $2.00We need to find the LCM of 6 and 10:
Multiples of 6: 6, 12, 18, 24, 30
Multiples of 10: 10, 20, 30
Therefore, the LCM = 30
So the least number of notebooks and pencils the teacher can buy to have the same numbers of each is 30.
⇒ 30 ÷ 6 = 5 packages of notebooks
⇒ 30 ÷ 10 = 3 packages of pencils
5 packages of notebooks = 5 × $5.00 = $25.00
3 packages of pencils = 3 × $2.00 = $6.00
Therefore, the least amount of money the teacher can spend to have the same number of notebooks and pencils (30 each) is:
⇒ $25.00 + $6.00 = $31.00
The least amount of money the teacher can spend to have the same number of notebooks and pencils is $31.00.
To find the least amount of money the teacher can spend and have the same number of notebooks and pencils, we need to determine the least common multiple (LCM) of the quantities in the packages.
Notebooks come in packages of 6, and pencils come in packages of 10. The LCM of 6 and 10 is 30.
To achieve the same number of notebooks and pencils, the teacher could buy:
5 notebook packages (5 * 6 = 30 notebooks)
3 pencil packages (3 * 10 = 30 pencils)
Now, let's calculate the cost:
Cost of notebook packages = 5 * $5.00 = $25.00
Cost of pencil packages = 3 * $2.00 = $6.00
Total cost = $25.00 + $6.00 = $31.00
So, the least amount of money the teacher can spend to have the same number of notebooks and pencils is $31.00.
To know more about least common multiple:
https://brainly.com/question/30060162
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