Answer:
-32
Step-by-step explanation:
-1/4a-5=5-2
add 5 to both sides to cancel the negative five on the left side.
-1/4a-5+5=5-2+5
-1/4a=8
multiply the equation by -4 to get the a just by itself
-4(-1/4)a=8(-4)
a=-32
Hope that helps :)
3/4 divided by 1/4 help can you teach me how to do it to
Answer:
3/4 divided by 1/4 = 3
Step-by-step explanation:
When we divide two fractions, such as 3/4 ÷ 1/4, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.
We also simplify the answers to fraction problems whenever possible.
Answer:
3
Step-by-step explanation:
=(3/4)(4/1)
kcf (keep, change, flip)
so we're keeping 3/4 the same then we're changing it from division to multiplication and fliping 1/4 to 4/1 (as shown above)
3*4=12 and 4*1=4
so our new fraction is 12/4
12/4 is an improper fraction and 12 divided by 4 is 3
good luck :)
i hope this helps
have a great day !!
What must the missing digit be so that the number rounds to 4 when rounding to the nearest whole number?
A. 5
B. 9
C. Any number greater than 5
D. The digit does not matter
Answer:
C. any number greater than 5
Step-by-step explanation:
when rounding numbers. 5 or more up the score. the number will be rounded to the next whole number
Answer:
Step-by-step explanation:
D the digit does not metter
Please prove the following trigonometric identity.
[tex]\cos^2(5x)-\sin^2(5x)=\cos(10x)[/tex]
Answer:
See Below.
Step-by-step explanation:
We want to verify the trigonometric identity:
[tex]\cos^2(5x)-\sin^2(5x)=\cos(10x)[/tex]
For simplicity, we can let u = 5x. Therefore, by substitution, we acquire:
[tex]\cos^2(u)-\sin^2(u)[/tex]
Recall the double-angle identity formula(s) for cosine:
[tex]\displaystyle \begin{aligned} \cos(2x)&=\cos^2(x)-\sin^2(x)\\&=2\cos^2(x)-1\\&=1-2\sin^2(x)\end{aligned}[/tex]
Therefore, our identity becomes:
[tex]=\cos(2u)[/tex]
Back-substitute:
[tex]=\cos(2(5x))=\cos(10x)\stackrel{\checkmark}{=}\cos(10x)[/tex]
Hence proven.
cos²A - sin²A = cos2A, this is a general indentity where A can have any random value x/2, y/3, 1/8, 8, 9 etc.
Replacing A with 5x:
=> cos²(5x) - sin²(5x) = cos²(10x)
Moreover,
cos(A + B) = cosAcosB - sinAsinB.
When A = B,
cos(A + A) = cosAcosA - sinAsinA
cos2A = cos²A - sin²A
You can do the same with 5x.
cos(10x) = cos(5x + 5x)
cos(10x) = cos(5x)cos(5x) - sin(5x)sin(5x)
cos(10x) = cos²(5x) - sin²(5x)
Plss help me will mark brainliest
Answer:
45-degrees
Step-by-step explanation:
The triangle is a 90-degree triangle
Triangles = 180-degrees
90 + 45 + 45 = 180
find-5/6÷(-1/2) write the answer in the lowest terms.
Answer:
[tex]\dfrac{-5}{3}[/tex]
Step-by-step explanation:
We need to solve the given expression in the lowest form i.e.
[tex]\dfrac{5}{6}\div (-\dfrac{1}{2})[/tex]
We know that,
[tex]\dfrac{a}{b}\div \dfrac{c}{d}=\dfrac{a}{b}\times \dfrac{d}{c}[/tex]
So,
[tex]\dfrac{5}{6}\div (-\dfrac{1}{2})=\dfrac{5}{6}\times (-2)\\\\=\dfrac{-5}{3}[/tex]
So, the lowest form is equal to [tex]\dfrac{-5}{3}[/tex].
How can 26n - 7m +4(10n - 6m) be rewritten? A. 36n - 13m B. 40n - 9m C. 66n - 31m D. 35mn
Answer:
C. 66n - 31m
Step-by-step explanation:
26n - 7m + 4(10n - 6m)
26n - 7m + 40n - 24m
26n - 31m + 40n
66n - 31m
A 10-foot ladder is leaning against a tree. The bottom of the ladder is 6 feet away from the bottom of the tree. About how high up the tree does the top of the ladder reach?
4 feet
6 feet
8 feet
16 feet
Answer:
8 feet
Step-by-step explanation:
Ladder = hypotenuse
bottom of ladder to tree = leg
x, 6, 10
Clear 3-4-5 triangle so,
x=8
On Triangle ABC, Angle A measures 30 degrees, Angle B measures 90 degrees, and Angle C measures 60 degrees. List the sides of Triangle ABC in order from shortest to longest.
Answer:
A=30 B=90 C=60
Step-by-step explanation:
A=30 C=60 B=90
What is the explicit formula for the geometric sequence 15, 3, 0.6,
0.12, ...?
Answer:
A
Step-by-step explanation:
first num is 15
ratio is 0.2
formula is a.r^n-1
PLEASE HELP!!! WILL MARK BRAINLIEST!!! Answers only related to the question please!
Exponential functions have the form f(x)= b^x. What type of an exponential function would you have (increasing or decreasing) if the value of b is greater than one?
Answer:
x is form
Step-by-step explanation:
HELP ASAP!!!hahahahsna s densllalsjdnd dnsksk
Answer:
A = (-7,6)
B = (2,4)
C = (-6,0)
Step-by-step explanation:
A = (-9 + 2, 2 + 4)
B = (0 + 4, 0 + 4)
C = (-8 + 2, -4 + 4)
Simplify the numeric expression below. Show all
work.
8-12-(6 + 4)
Answer:
negative 14 or -14
Step-by-step explanation:
8-12-10
= 8-22
= -14
6) Supplementary Exercise 5.51
A consumer advocate claims that 80 percent of cable television subscribers are not satisfied with their cable service. In an attempt to justify this claim, a randomly selected sample of cable subscribers will be polled on this issue.
(a)
Suppose that the advocate's claim is true, and suppose that a random sample of five cable subscribers is selected. Assuming independence, use an appropriate formula to compute the probability that four or more subscribers in the sample are not satisfied with their service. (Do not round intermediate calculations. Round final answer of p to 1 decimal place. Round other final answers to 4 decimal places.)
The answer for 6(a) is P( Xâ¥4) = P ( x = 4) + P (x = 5) = 5/4 * 0.84 * 0.21 + 5/5 * 0.85 * 0.20 = 0.737
(b)
Suppose that the advocate's claim is true, and suppose that a random sample of 25 cable subscribers is selected. Assuming independence, find each of the following: (Do not round intermediate calculations. Round final answer of p to 1 decimal place. Round other final answers to 4 decimal places.)
1.
The probability that 15 or fewer subscribers in the sample are not satisfied with their service.
The answer for 6(b)1 is P(Yâ¤15) = 1 - P( Y > 20) - X20, i = 16 P ( Y = i) = 1- 0.421 - 0.562 = 0.017
2.
The probability that more than 20 subscribers in the sample are not satisfied with their service.
The answer for 6(b)2 is
3.
The probability that between 20 and 24 (inclusive) subscribers in the sample are not satisfied with their service.
The answer for 6(b)3 is P(20 > Y < 24) = 1 - 0.421 - 0.1867 - 0.1358 - 0.0708 - 0.0236 = 0.1621
4.
The probability that exactly 24 subscribers in the sample are not satisfied with their service.
The answer for 6(b)4 is P( Y = 24) = 0.0236
(c)
Suppose that when we survey 25 randomly selected cable television subscribers, we find that 15 are actually not satisfied with their service. Using a probability you found in this exercise as the basis for your answer, do you believe the consumer advocate's claim? Explain. (Round your answer to 4 decimal places.)
Answer:
[tex]P(X \le 4) = 0.7373[/tex]
[tex]P(x \le 15) = 0.0173[/tex]
[tex]P(x > 20) = 0.4207[/tex]
[tex]P(20\ge x \le 24)= 0.6129[/tex]
[tex]P(x = 24) = 0.0236[/tex]
[tex]P(x = 15) = 1.18\%[/tex]
Step-by-step explanation:
Given
[tex]p = 80\% = 0.8[/tex]
The question illustrates binomial distribution and will be solved using:
[tex]P(X = x) = ^nC_xp^x(1 - p)^{n-x}[/tex]
Solving (a):
Given
[tex]n =5[/tex]
Required
[tex]P(X\ge 4)[/tex]
This is calculated using
[tex]P(X \le 4) = P(x = 4) +P(x=5)[/tex]
This gives:
[tex]P(X \le 4) = ^5C_4 * (0.8)^4*(1 - 0.8)^{5-4} + ^5C_5*0.8^5*(1 - 0.8)^{5-5}[/tex]
[tex]P(X \le 4) = 5 * (0.8)^4*(0.2)^1 + 1*0.8^5*(0.2)^0[/tex]
[tex]P(X \le 4) = 0.4096 + 0.32768[/tex]
[tex]P(X \le 4) = 0.73728[/tex]
[tex]P(X \le 4) = 0.7373[/tex] --- approximated
Solving (b):
Given
[tex]n =25[/tex]
i)
Required
[tex]P(X\le 15)[/tex]
This is calculated as:
[tex]P(X\le 15) = 1 - P(x>15)[/tex] --- Complement rule
[tex]P(x>15) = P(x=16) + P(x=17) + P(x =18) + P(x = 19) + P(x = 20) + P(x = 21) + P(x = 22) + P(x = 23) + P(x = 24) + P(x = 25)[/tex]
[tex]P(x > 15) = {25}^C_{16} * p^{16}*(1-p)^{25-16} +{25}^C_{17} * p^{17}*(1-p)^{25-17} +{25}^C_{18} * p^{18}*(1-p)^{25-18} +{25}^C_{19} * p^{19}*(1-p)^{25-19} +{25}^C_{20} * p^{20}*(1-p)^{25-20} +{25}^C_{21} * p^{21}*(1-p)^{25-21} +{25}^C_{22} * p^{22}*(1-p)^{25-22} +{25}^C_{23} * p^{23}*(1-p)^{25-23} +{25}^C_{24} * p^{24}*(1-p)^{25-24} +{25}^C_{25} * p^{25}*(1-p)^{25-25}[/tex]
[tex]P(x > 15) = 2042975 * 0.8^{16}*0.2^9 +1081575* 0.8^{17}*0.2^8 +480700 * 0.8^{18}*0.2^7 +177100 * 0.8^{19}*0.2^6 +53130 * 0.8^{20}*0.2^5 +12650 * 0.8^{21}*0.2^4 +2300 * 0.8^{22}*0.2^3 +300 * 0.8^{23}*0.2^2 +25* 0.8^{24}*0.2^1 +1 * 0.8^{25}*0.2^0[/tex]
[tex]P(x > 15) = 0.98266813045[/tex]
So:
[tex]P(X\le 15) = 1 - P(x>15)[/tex]
[tex]P(x \le 15) = 1 - 0.98266813045[/tex]
[tex]P(x \le 15) = 0.01733186955[/tex]
[tex]P(x \le 15) = 0.0173[/tex]
ii)
[tex]P(x>20)[/tex]
This is calculated as:
[tex]P(x>20) = P(x = 21) + P(x = 22) + P(x = 23) + P(x = 24) + P(x = 25)[/tex]
[tex]P(x > 20) = 12650 * 0.8^{21}*0.2^4 +2300 * 0.8^{22}*0.2^3 +300 * 0.8^{23}*0.2^2 +25* 0.8^{24}*0.2^1 +1 * 0.8^{25}*0.2^0[/tex]
[tex]P(x > 20) = 0.42067430925[/tex]
[tex]P(x > 20) = 0.4207[/tex]
iii)
[tex]P(20\ge x \le 24)[/tex]
This is calculated as:
[tex]P(20\ge x \le 24) = P(x = 20) + P(x = 21) + P(x = 22) + P(x =23) + P(x = 24)[/tex]
[tex]P(20\ge x \le 24)= 53130 * 0.8^{20}*0.2^5 +12650 * 0.8^{21}*0.2^4 +2300 * 0.8^{22}*0.2^3 +300 * 0.8^{23}*0.2^2 +25* 0.8^{24}*0.2^1[/tex]
[tex]P(20\ge x \le 24)= 0.61291151859[/tex]
[tex]P(20\ge x \le 24)= 0.6129[/tex]
iv)
[tex]P(x = 24)[/tex]
This is calculated as:
[tex]P(x = 24) = 25* 0.8^{24}*0.2^1[/tex]
[tex]P(x = 24) = 0.0236[/tex]
Solving (c):
[tex]P(x = 15)[/tex]
This is calculated as:
[tex]P(x = 15) = {25}^C_{15} * 0.8^{15} * 0.2^{10}[/tex]
[tex]P(x = 15) = 3268760 * 0.8^{15} * 0.2^{10}[/tex]
[tex]P(x = 15) = 0.01177694905[/tex]
[tex]P(x = 15) = 0.0118[/tex]
Express as percentage
[tex]P(x = 15) = 1.18\%[/tex]
The calculated probability (1.18%) is way less than the advocate's claim.
Hence, we do not believe the claim.
The table shows the prices for the same cereal, sold in different weights. Which size box is the best buy, in terms of price per ounce?
A. 9 oz
B.18 oz
C.28 oz
D.38 oz
Answer:
c
Step-by-step explanation:
ESPERO TE A YDUE :)
Jeremiah answered 20
out of 25 questions
correctly on the math test.
What percent of the
questions did Jeremiah
answer correctly?
Answer:
he got 80 percent correct
Meggie starts with 100$ in her account.she wants to deposit 5$ per week . write an equation in slope intercept form to represent this situation
Answer:
y = 5x + 100
Step-by-step explanation:
The measure of an angle is 149.5°. What is the measure of its supplementary angle?
Answer:
30.5°
Step-by-step explanation:
Supplementary angles add up to 180°. You know one angle is 149.5°, so you can find the other angle.
Measure of its supplementary angle = 180° - 149.5°
= 30.5°
I need help what's the answer anyone?
Answer:
B
Step-by-step explanation:
please help me
( - 3 ) ( a + x ) , if a + 8, x = - 10
Answer:
6
Step-by-step explanation:
-3 x (8 + [-10]) =
-3 x (8 - 10) =
-3 x -2 =
6
HOpe that helps!
Answer: 6
Step-by-step explanation:
finding the answer from an equation
replace the values of x and a in the equation:
(-3) * ( 8 + -10)
= (-3) * (-2)
recall :
(-) * (-) = +
hence -3 * -2
= 6
Hope this helps. Can u pls give me brainliest
A dot plot titled Number of runs scored going from 0 to 5. 0 has 2 dots, 1 has 4 dots, 2 has 6 dots, 3 has 4 dots, 4 has 2 dots, and 5 has 1 dot. What is a dot plot and how do you read it? Check all that apply. A dot plot displays data values as dots above a number line. Dot plots show the frequency with which a specific item appears in a data set. There was 1 run in 5 of the games. There were 0 runs in 2 of the games. Dot plots show the distribution of the data. There were a total of 19 games.
Answer:
abdef (those are the answers)
Step-by-step explanation:
Answer:
all but C
Step-by-step explanation:
hi
The fair spinner shown in the diagram above is spun.
Work out the probability of getting a factor of 12.
Give your answer in its simplest form.
Answer:
hi.a..a.q.q.q.q..w.w.q.
Mr. Cox's round baler bales a 4-foot-wide bale having a 5.25 foot diameter. He wants to wrap
the bale in a white wrapper. He must allow an extra 10 percent for lapping. How many square
feet of wrapping does each bale require?
Answer:
109.27 ft²
Step-by-step explanation:
SA = face + face + curve
SA = 2πr² + 2πrw
= 2π(2.625)² + 2π(2.625)(4)
= ~43.3 + ~65.97 = 109.27 = SA
work out the value of angle x, 90 degrees
Answer:
x = 45
Step-by-step explanation:
In isosceles triangles (a triangle where two sides are equal), the two base angles are congruent.
The sum of angles in a triangle is 180°.
In this problem, x is a base angle, so the other base angle is equal to x.
So, adding up all the measures of the angles in this triangle,
90 + x + x = 180
Simplify.
2x + 90 = 180
Substract 90 from both sides
2x = 90
Divide both sides by 2
x = 45
Which statement best describes the values of x and y in the table
Answer:
Answer A
Step-by-step explanation:
As the value of x increases by 2 the value of y increases by 4
Find the missing angle of each triangle.
Answer:
1 is 64
2 is 85
3 is 56 hope this helps
Step-by-step explanation:
also how give brainly i want to give u brainly
Mode of certain scores is x. If each score is decreased by 3, then find the mode of the new series.
Step-by-step explanation:
It is given that mode of certain scores is x It means x is the score with highest frequency.
common difference is -3
So, the new mode of the score is
New Mode = 3
Therefore the new mode of the new series is x-3.
Tayler works at a bicycle shop. When he sells a bicycle, he earns 6% of the sale price as a commission. One day Tayler sold 1 bicycle for $125 and 2 bicycles for $75 each. What was the total amount of commission he earned?
Carol has a choice of an account that compounds quarterly and an account that compounds daily.
If they both have the same interest rate, which will earn more interest?
The account that compounds quarterly.
The account that compounds daily.
They will both earn the same interest
Answer: The account that compounds daily.
Step-by-step explanation: If you reinvest your money more frequently, then you will also be able to earn interest on the interest that you earned the previous day and so on.
write any odd number and find their sum product
Answer:
3?
Step-by-step explanation:
33√8
9√20
444÷333
5552×333
3÷99
44√5
6622÷33
Step-by-step explanation:
93.340.21.318488163398.3200.6if u want it by step by step thn tell me i will do that..