Answer:
11n
Step-by-step explanation:
7n+4n (factorize out n)
= n (7 + 4)
= n (11)
= 11n
Answer:
11n
Step-by-step explanation:
Combining like terms just means adding together the numbers with the same variable. 7n and 4n both have an n attached, so you would add like normal to get 7n + 4n = 11n.
Write the prime factorization of 24. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).
Answer:
2•2•2•3
24 has factors 2 and 12
12 has factors 2 and 6
6 has factors 2 and 3
Which property of equality was used to solve this equation?
Answer:
Division property of equality
Step-by-step explanation:
They are dividing both sides.
A fitness center is interested in finding a 95% confidence interval for the mean number of days per week that Americans who are members of a fitness club go to their fitness center. Records of 246 members were looked at and their mean number of visits per week was 2.2 and the standard deviation was 2.6. Round answers to 3 decimal places where possible.
a. To compute the confidence interval use a ? distribution.
b. With 95% confidence the population mean number of visits per week is between and visits.
c. If many groups of 246 randomly selected members are studied, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population mean number of visits per week and about percent will not contain the true population mean number of visits per week
Hey Mate !
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Please answer this correctly
Answer:
1/64
Step-by-step explanation:
The probability of landing on a 7 is 1/8.
The probability of landing on a 2 is 1/8.
[tex]1/8 \times 1/8[/tex]
[tex]= 1/64[/tex]
1/64
The probability of landing on a 7 is 1/8.
The probability of landing on a 2 is 1/8.
1/8 \times 1/81/8×1/8
= 1/64=1/64
Find the measure of the indicated angle to the nearest degree. Thanks.
Answer:
34
Step-by-step explanation:
uts obtuse angle
Answer:
16°
Step-by-step explanation:
Let x° be the missing angle:
cos x° = 53/55
cos x° = 0.963
using a calculator:
cos^(-1) (0.963) = 15.63 ≈ 16
Arrange the numbers in scientific notation from greatest to least according to their values. 3.1 × 10-2 2.01 × 10-3 4.2 × 10-5 1.03 × 10-1 2.32 × 10-
Answer:
1.03 × 10-1
3.1 × 10-2
2.01 × 10-3
2.32 × 10-4
4.2 × 10-5
Step-by-step explanation:
Hope this helps you!
Answer:
1.03 × 10-1
3.1 × 10-2
2.01 × 10-3
2.32 × 10-4
4.2 × 10-5
Step-by-step explanation:
The sum of two intcgers is -6. If one of them is 2, then the other is
(a) 4
(b) 4
(c) 8
(d) -8
Answer:
D) -8
Step-by-step explanation:
If you add a positive and a negative, you end up subtracting. If your sum is lower than any of the numbers you are adding together, then there is a negative. In this case, your only negative number is -8, but if there were others, you could find this equation by doing negative six minus two (because the equation was originally addition, it would still be subtraction to check your work or find the answer in this case.)
Hopefully you find this useful :)
Answer: -8
Step-by-step explanation: lets take the unknown number as x,
so we have, 2 + x= -6
by using transposition method, x= -6-2( positive becomes
negative when transpositioning)
so, x= -8
The total amount of deductions from an employee’s gross pay is $83.20. If the gross pay is $378.18, what percent of their gross pay is being withheld? a. 21% b. 22% c. 23% d. 24%
Answer: B. 22%
Step-by-step explanation:
Answer:
Yeah its 22%
Step-by-step explanation:
A certain three-cylinder combination lock has 65 numbers on it. To open it, you turn to a number on the first cylinder, then to a second number on the second cylinder, and then to a third number on the third cylinder and so on until a three-number lock combination has been effected. Repetitions are allowed, and any of the 65 numbers can be used at each step to form the combination. What is the probability of guessing a lock combination on the first try?
Answer:
1/275,625 ≈ 3.641×10^-6
Step-by-step explanation:
There are 65×65×65 = 274,625 possible combinations. The probability of guessing the correct one is 1/275,625 ≈ 3.641×10^-6.
Please help with how to find the area of the shape with work
Answer: 10 squares.
Step-by-step explanation:
We can do it with integrals.
If we take the bottom vertex as the point (0,0), the top right vertex as the point (0,4) and the left vertex as the point (5, 6)
then the area of the triangle is the area enclosed by two lines between the values x = 0 and x = 5.
the two lines are:
the bottom is the one that passes through (0,0) and (5,6)
f(x) = y = s*x (because it passes through the point (0,0))
and the slope is s = 6/5.
so f(x) = y = (6/5)*x.
The top line is the one that passes through (0,4) and (5,6)
the y-intercept is b = 4, and the slope is:
s = (6 - 4)/(5 - 0) = 2/5.
g(x) = y = (2/5)*x + 4.
Now, the area enclosed for the triangle is equal to:
[tex]\int\limits^5_0 {g(x) - f(x)} \, dx[/tex]
this is equal to:
[tex]\int\limits^5_0 {(2/5)x + 4 - (6/5)x} \, dx = \int\limits^5_0 {-(4/5)*x + 4} \, dx[/tex]
= (1/2)(-4/5)*(5)^2 + 4*5 - 0 = 10
The area is 10 squares
When the factors of a trinomial are (x + p) and (x + 9) then the constant term
of the trinomial is:
Answer:
9p
Step-by-step explanation:
(x + p)(x + 9) =
= x^2 + 9x + px + 9p
= x^2 + (9 + p)x + 9p
The constant term is 9p.
6.1.3
What requirements are necessary for a normal probability distribution to be a standard normal probability distribution?
Answer:
The requirements that are necessary for a normal probability distribution to be a standard normal probability distribution are µ = 0 and σ = 1.
Step-by-step explanation:
A normal-distribution is an accurate symmetric-distribution of experimental data-values.
If we create a histogram on data-values that are normally distributed, the figure of columns form a symmetrical bell shape.
If X [tex]\sim[/tex] N (µ, σ²), then [tex]Z=\frac{X-\mu}{\sigma}[/tex], is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z [tex]\sim[/tex] N (0, 1).
The distribution of these z-variates is known as the standard normal distribution.
Thus, the requirements that are necessary for a normal probability distribution to be a standard normal probability distribution are µ = 0 and σ = 1.
What is the domain of the relation graphed below?
Answer:
domain: (-4,4)
Step-by-step explanation:
i'm not sure if it has brackets because it doesn't have point that are on x-intervals -4 and 4
Which of the following is a key property of the absolute value parent function?
A. It has a slope of 1 on the left half.
B. It is U-shaped
C. It is in quadrants I and ll
D. Its vertex is not at the origin
Answer:
the absolute-value parent function has a slope of 1 on the right half.
I hope this will work fine for you.
Comment if you need more explanation
ThX
Step-by-step explanation:
Subtracting polynomials
Answer:
The other polynomial is 11x^2 -3x
Step-by-step explanation:
12x^2 -5x - ( x^2 -2x) = other polynomial
Distribute the minus sign
12x^2 -5x - x^2 +2x
Combine terms
11x^2 -3x
The other polynomial is 11x^2 -3x
A 50 gram sample of a substance that's
used to treat thyroid disorders has a k
value of 0.1137.
The question is incomplete. Here is the complete question.
A 50 gram sample of a substance that's used to treat thyroid disorders has a k-value of 0.1137. Find the substance's half-life, in days. Round your answer to the nearest tenth.
Answer: [tex]t_{1/2}[/tex] = 6.1 days
Step-by-step explanation: Half-life is the amount of time necessary for a substance to reduce to half of its initial value.
To determine half-life through mass of a substance:
[tex]N = N_{0}.e^{-kt_{1/2}}[/tex]
Initially, there are 50 grams. After 1 half-life, there are 25 grams:
[tex]25 = 50.e^{-0.1137.t_{1/2}}[/tex]
[tex]\frac{25}{50} = e^{-0.1137.t_{1/2}}[/tex]
[tex]\frac{1}{2} = e^{-0.1137.t_{1/2}}[/tex]
[tex]ln (\frac{1}{2} ) = ln (e^{-0.1137.t_{1/2}})[/tex]
ln(1) - ln(2) = -0.1137.[tex]t_{1/2}[/tex]
[tex]t_{1/2} = \frac{- ln(2)}{- 0.1137}[/tex]
[tex]t_{1/2} =[/tex] 6.1
The half-life of the sample substance is 6.1 days.
New question! What's the average of 156218 and 8162336
Answer:
4159277
Step-by-step explanation:
156218 and 8162336
Add the two numbers and divide by 2
(156218 + 8162336)/2 =
8318554/2=
4159277
Answer:
4159277
Step-by-step explanation:
156218+8162336
=8318554
8318554 divided by 2 = 4159277
you add both numbers and divide by how many you added
Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width, and height not exceeding 156 in. What are the dimensions and volume of a square-based box with the greatest volume under these conditions?
Answer:
140608 cubic in
Step-by-step explanation:
[tex]x+x+h=156[/tex]
[tex]h=156-2 x[/tex]
[tex]V=x^{2} h \quad[/tex] We eliminate one of the variables
[tex]V=x^{2}(156-2 x)[/tex]
[tex]V=156 x^{2}-2 x^{3}[/tex] Differentiating [tex]v[/tex]
[tex]V^{\prime}=312x-6 x^{2} \quad[tex] When [/tex]V=0[/tex]
[tex]312x-6 x^{2}=0[/tex]
[tex]x(312-6 x)=0 \quad=\quad\left\{\begin{array}{l}x=0 \\ x=52 \quad x=0 \text { not acceptable }\end{array}\right.[/tex]
[tex]h=156-2(52)=\Rightarrow h=52[/tex]
[tex]V=52\times52\times52= 140608 \text{ cubic in}[/tex]
what is the value of x in the equation 1/2x - 2/3 y = 30, when y = 15
Answer:
Step-by-step explanation:
1/2x - 2/3 × 15 = 30
1/2x - 10 = 30
1/2x = 30 + 10
1/2x = 40
x = 40 × 2
x = 80
hope this helps
plz mark it bas brainliest!!!!!!!!!
In the study of a nonlinear spring with periodic forcing, the equation y prime prime plus ky plus ry cubedy′′+ky+ry3equals=Upper A cosine omega tAcosωt arises. Let kequals=44, requals=33, Aequals=77, and omegaωequals=88. Find the first three nonzero terms in the Taylor polynomial approximation to the solution with initial values y(0)equals=0, y prime (0 )y′(0)equals=1.
Answer:
[tex]\mathbf{y(t) = t + \dfrac{7}{2}t^2 - \dfrac{2}{3}t^3+ ...}[/tex]
Step-by-step explanation:
THe interpretation of the given question is as follows:
y'' + ky + ry³ = A cos ωt
Let k = 4, r = 3, A = 7 and ω = 8
The objective is to find the first three non zero terms in the Taylor polynomial approximation to the solution with initial values y(0) = 0 ; y' (0) = 1
SO;
y'' + ky " ry³ = A cos ωt
where;
k = 4, r = 3, A = 7 and ω = 8
y(0) = 0 ; y' (0) = 1
y'' + 4y + 3y³ = 7 cos 8t
y'' = - 4y - 3y³ + 7 cos 8t ---- (1)
∴
y'' (0) = -4y(0) - 3y³(0) + 7 cos (0)
y'' (0) = - 4 × 0 - 3 × 0 + 7
y'' (0) = 7
Differentiating equation (1) with respect to t ; we have:
y''' = - 4y' - 9y² × y¹ - 56 sin 8t
y''' (0) = -4y'(0) - 9y²(0)× y¹ (0) - 56 sin (0)
y''' (0) = - 4 × 1 - 9 × 0 × 1 - 56 × 0
y''' (0) = - 4
Thus; we have :
y(0) = 0 ; y'(0) = 1 ; y'' (0) = 7 ; y'''(0) = -4
Therefore; the Taylor polynomial approximation to the first three nonzero terms is :
[tex]y(t) = y(0) + y'(0) t + y''(0) \dfrac{t^2}{2!} + y'''(0) \dfrac{t^3}{3!}+...[/tex]
[tex]y(t) = 0 + t + 7 \dfrac{t^2}{2!} + \dfrac{-4}{3!} {t^3}+ ...[/tex]
[tex]\mathbf{y(t) = t + \dfrac{7}{2}t^2 - \dfrac{2}{3}t^3+ ...}[/tex]
Please help I will mark brainliest for first answer!
Answer:
C.
Step-by-step explanation:
Step 1: Multiply jar weights
12(10) = 120 oz
Step 2: Convert lbs to oz
16 + 14 = 30 oz
Step 3: Add weights
150 oz
Step 4: Convert to lbs
150/16 = 75/8 = 9.375 lbs
9.375 lbs = 9 lbs 6 oz
Write an expression:
You bought four
sandwiches that cost
$2.50 each and two
drinks that cost d
dollars each.
Answer:
2d + 10.
Step-by-step explanation:
If four sandwiches cost $2.50 each, you have 4 * 2.5.
If two drinks cost $d each, you have 2 * d.
4 * 2.5 + 2 * d
= 10 + 2d
= 2d + 10.
Hope this helps!
Which of these shows equivalent fractions?
а
=
4.
8
=
AN
alw
10
2 - 3
3. 6
Answer:A
Step-by-step explanation:
a. 2(3y - 2x) = 6y - 4x or rewritten as -4x + 6y
4x + 6y - 8 x
= 4x - 8x + 6y
= -4x + 6y
Combine the like terms to create an equivalent expression: -12 - 6p - (-2)
Answer:
-6p -10
Step-by-step explanation:
-12 - 6p - (-2)
Subtracting a negative is like adding
-12 - 6p + (2)
Combine like terms
-6p -12+2
-6p -10
Answer:
-6p=10
Step-by-step explanation:
-12 - 6p - (-2) to combine like expression
-12-6p+2
-6p-10 to create equivalent expression an equal sign is used
-6p=10
Work out percentage change to 2 decimal places when a price of £97 is increased to £99.99
Answer:
2.99
Step-by-step explanation:
99.99 - 97 = 2.99
The percentage change to 2 decimal places when a price of 97 is increased to 99.99 is 3.08%
What is percentage change?
Percentage Change is the difference coming after subtracting the old value from the new value and then divide by the old value and the final answer will be multiplied by 100 to show it as a percentage.
Percentage Change Formulapercentage change formula = [tex]\frac{final value - initial value }{Initial value}[/tex]× 100
According to the given question
We have
initial value = 97
final value = 99.99
therefore,
⇒percentage change = [tex]\frac{99.99-97}{97}[/tex]× 100
⇒percentage change = [tex]\frac{2.99}{97}[/tex]×100
⇒percentage change = 0.0308×100=3.0824
⇒percentage change = 3.08%
Hence, the percentage change to 2 decimal places when a price of 97 increased to 99.99 is 3.08%.
Learn more about the percentage change here:https://brainly.in/question/30671120
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The management of a department store is interested in estimating the difference between the mean credit purchases of customers using the store's credit card versus those customers using a national major credit card. You are given the following information. (Give answers to 2 decimal places) Store's Card Major Credit Card
Sample size 64 49Sample mean $140 $125Population variance $100 $641. A point estimate for the difference between the mean purchases of the users of the two credit cards is:________.2. At 95% confidence, the margin of error is:____________.3. A 95% confidence interval estimate for the difference between the average purchases of the customers using the two different credit cards is___ to ___.
4. The test statistic for an alpha of .05 is:____________.
Answer:
Step-by-step explanation:
1) Point estimate is the difference between the sample means. Therefore,
A point estimate for the difference between the mean purchases of the users of the two credit cards is = 140 - 125 = $15
2) Margin of error = z√(σ²/n1 + σ2²/n2)
Where
z is the z score from the 95% confidence level. From the normal distribution table, z = 1.96
s1 and s2 are standard deviation for both customers respectively.
Standard deviation = √variance
σ1 = √100 = 10
σ2 = √641 = 25.32
Margin of error = 1.96√(10²/64 + 25.32²/49 = 7.5
At 95% confidence, the margin of error is 7.5
3) The confidence interval for the difference of two population means is expressed as point estimate ± margin of error
Confidence interval = 15 ± 7.5
The upper boundary for the confidence interval is
15 - 7.5 = 7.5
The lower boundary for the confidence interval is
15 + 7.5 = 22.5
A 95% confidence interval estimate for the difference between the average purchases of the customers using the two different credit cards is $7.5 to $22.5
4) Since the population standard deviations are known, we would use the formula to determine the test statistic(z score)
z = (x1 - x2)/(√σ1²/n2 + σ2²/n2)
z = (140 - 125)/√10²/64 + 25.32²/49
z = 1.02
The test statistic for an alpha of .05 is 1.02
The tables show the number of chin-ups done by students in two different gym classes.
Answer:
On average, students in the 4th period Did more chin-ups than students in the 2nd period.
A scooter runs 40 km using 1 litre of petrol tje distance covered by it using 15/4 litres of petrol is
Answer:
150 km
Step-by-step explanation:
1 liter ............ 40 km
15/4 liter .........x km
x = 15/4×40/1 = 600/4 = 150 km
Select the equation that most accurately depicts the word problem. One-half of a certain number is 95. - n = 95 + n = 95 • n = 95 ÷ n = 95
Answer:
[tex] n * \frac{1}{2} = 95 [/tex]
Step-by-step explanation:
Required:
Select the equation that most accurately depicts the word problem
One-half of a certain number is 95.
Take the certain number to be n.
This statement in equation form will be:[tex] n * \frac{1}{2} = 95 [/tex]
Therefore, the equation that most accurately depicts the word problem is [tex] n * \frac{1}{2} = 95 [/tex]
Although your options are incomplete, but this answer is correct.
The * symbol can be replaced with a dot sign
Answer:
up up up up
Step-by-step explanation:
what is the y-coordinate of point 7? Write a decimal coordinates.
Answer:
The y-coordinate is -4.5
Step-by-step explanation:
Point has x-coordinate -3 and y-coordinate -4.5.
Answer:
the y-coordinate is -4.5
Step-by-step explanation:
the x-coordinate is -3
the y-coordinate is in between -4 and -5. from here one can assume it is half way unless there is information that has not been stated.
In between -4 and -5 is -4.5 so the y-coordinate is -4.5
the coordinate of point 7 is ( -3, -4.5)