Answer:
Here,
A factory produced 252 televisions in 9 hour
In 1 hour it produces 252/9 televisions
= 28
so the answer is it produces 28 televisions per hour or each hour.
4x10 26 [87.96 x 10 6]
Answer:
remember that you start in the [ ] and work your way out
Step-by-step explanation:
A frog can hop a maximum speed of about 60 feet every 4 seconds. How far can he hop in 30 seconds
Answer:
its 180
Step-by-step explanation:
Answer:
450
Step-by-step explanation:
15x30=450
HELP HELP PLEASE IM BEGGING YOU HELP!
Answer:
22 * n + 4
Step-by-step explanation:
the sum of 36 and 3c
Answer:
Step-by-step explanation:
just add 36 and 3
What is the exponential form of log5 15,625 = 6?
Answer:
I'm currently having the same lesson.
Exponential form:
5⁶ = 15,625
The number next to the "log" symbol is the base, which is positioned down. Next to the base of the exponent is the result of the exponent.
The number after the equal sign is the exponent.
Check the image for better clarification.
Step-by-step explanation:
Answer: [tex]5^{6} =15625[/tex]
Step-by-step explanation:
Installation of a certain hardware takes a random amount of time with a standard deviation of 5 minutes. A computer technician installs this hardware on 64 different computers, with the average installation time of 42 minutes. Compute a 95% confidence interval for the mean installation time. Explain your interval in context.
Answer:
The 95% confidence interval for the mean installation time is between 40.775 minutes and 43.225 minutes. This means that for all instalations, in different computers, we are 95% sure that the mean time for installation will be in this interval.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96*\frac{5}{\sqrt{64}} = 1.225[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 42 - 1.225 = 40.775 minutes
The upper end of the interval is the sample mean added to M. So it is 42 + 1.225 = 43.225 minutes
The 95% confidence interval for the mean installation time is between 40.775 minutes and 43.225 minutes. This means that for all instalations, in different computers, we are 95% sure that the mean time for installation will be in this interval.
The 95% confidence interval for the mean installation time is (40.775, 43.225) and this can be determined by using the formula of margin of error.
Given :
Standard deviation is 5 minutes. Sample size is 64.Mean is 42 minutes.95% confidence interval.The following steps can be used in order to determine the 95% confidence interval for the mean installation time:
Step 1 - The formula of margin of error can be used in order to determine the 95% confidence interval.
[tex]M = z \times \dfrac{\sigma}{\sqrt{n} }[/tex]
where z is the z-score, [tex]\sigma[/tex] is the standard deviation, and the sample size is n.
Step 2 - Now, substitute the values of z, [tex]\sigma[/tex], and n in the above formula.
[tex]M = 1.96 \times \dfrac{5}{\sqrt{64} }[/tex]
[tex]M = 1.225[/tex]
Step 3 - So, the 95% confidence interval is given by (M - [tex]\mu[/tex], M + [tex]\mu[/tex]) that is (40.775, 43.225).
The 95% confidence interval for the mean installation time is (40.775, 43.225).
For more information, refer to the link given below:
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Can someone plz do
A
C
D
Answer:
a) I think its 2n+1
c) I think its 6n+3
d) I think its 7n-4
calculate the unit rate of change for each linear function using the formula. (4,9) (8,12) (16,18) (32,30)
Answer:
The unit rate of change is of [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
We are given a set of points (x,y).
To find the unit rate of change, we take two points, and divide the change in y by the change in x.
Points (4,9) and (8,12)
Change in y: 12 - 9 = 3
Change in x: 8 - 4 = 4
Unit rate of change: [tex]\frac{3}{4}[/tex]
help me i need help help me help me
given that a=15cm and b= 8cm work out x
Answer:
Literally do a^2+b^2=x^2 and solve for x
what minus 11 an that equalls 28
Answer:39
Step-by-step explanation:
If you add 28+11 you get 39 making 39-11=28
The cost of tuition at a 2 year school is $14,000 per academic year. Todd is eligible for $6,500 in financial aid to cover tuition each year. He will save money for one year to cover the remaining cost of tuition for his two years of school.
What is the minimum amount of money he needs to save each month?
$540
$625
$675
$1,250
Answer:
$625
Step-by-step explanation:
If Todd has to pay $14,000 in tuition for his school each year and uses $6,500 in financial aid each year all for 2 years, the money he needs to save can be modeled by:
2(-$14000 + $6500) + 2(12x) = 0.
x is the minimum amount of money he needs to save in order to cover this expense without debt.
Thus 2(-$14000 + $6500) + 2(12x) = 0 →
2(-$7500) + 24x = 0 → -$15000 + 24x = 0 →
24x = $15000 → x = $625
Answer:
$625
Step-by-step explanation:
If Todd has to pay $14,000 in tuition for his school each year and uses $6,500 in financial aid each year all for 2 years, the money he needs to save can be modeled by:
2(-$14000 + $6500) + 2(12x) = 0.
x is the minimum amount of money he needs to save in order to cover this expense without debt.
Thus 2(-$14000 + $6500) + 2(12x) = 0 →
2(-$7500) + 24x = 0 → -$15000 + 24x = 0 →
24x = $15000 → x = $625
Is either x = 6 or x = 8 a solution to 12 + x = 20? O A. Neither is.a solution. B. X = 6 is a solution, but x = 8 is not. C. X= 8 is a solution, but x = 6 is not D. They are both solutions. SUBMIT
Answer:
C. x = 8 is a solution, but x = 6 is not
Step-by-step explanation:
12 + 6 = 18
12 + 8 = 20
20 - 12 = 8
What is the area of a rectangular floor that is 7'-3" long and 4'-2" wide?
Answer:
4350 in^2
Step-by-step explanation:
hope this helps :)
Solve the system of equations
4(y - 3) =
Use distributive property to complete the equivalent expression
Answer:
Step-by-step explanation:
4(y-3) = 4y - 4·3 = 4y - 12
The equivalent value of the expression is A = 4y - 12
Given data ,
Let the equation be represented as A
Now , the value of A is
A = 4 ( y - 3)
On simplifying the equation , we get
A = 4 ( y - 3 )
So , the left hand side of the equation is equated to the right hand side by the value of A = 4 ( y - 3 )
Opening the parenthesis on both sides , we get
A = 4 ( y - 3 )
Using the distributive property , we get
A = 4 ( y ) - 4 ( 3 )
On further simplification , we get
A = 4y - 12
Taking the common factor as 4 , we get
A = 4 ( y - 3 ) = 4y - 12
Therefore , the value of A = 4y - 12
Hence , the expression is A = 4y - 12
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Write an equation for a line perpendicular to h(t) = -2t +4 and passing through the point (-4, -1).
Answer:
y=1/2t+1
Step-by-step explanation:
To get a perpendicular line, the slopes have to be reciprocals.
A cable TV company has a $35 installation fee and a $15 monthly rate. Write an equation in slope-intercept form to describe the cost of cable TV for any number of months. Use x for the number of months and y for the total cost.
Answer:
y=15x+35
Step-by-step explanation:
15 every month and 35 for instant charge
How do I add 1/8 + 2/6
Answer:
3/24 + 4/24 = 7/24
Step-by-step explanation:
Find a common denominator then multiply the numerator by how many times you multiplied the denominator and add them to get your answer and you may simplify.
The temperature in the morning is 18.6 C. By noon the temperature rises 8.5 C. What is the temperature at noon
Answer:27.1c
Step-by-step explanation:
18.6 + 8.5 =27.1
Answer:
27.1
Step-by-step explanation:
Every day a kindergarten class chooses randomly one of the 50 state flags to hang on the wall, without regard to previous choices. We are interested in the flags that are chosen on Monday, Tuesday and Wednesday of next week. 30 Experiments with random outcomes (a) Describe a sample space ± and a probability measure P to model this experiment. (b) What is the probability that the class hangs Wisconsin’s flag on Monday, Michigan’s flag on Tuesday, and California’s flag on Wednesday? (c) What is the probability that Wisconsin’s flag will be hung at least two of the three days?
Answer:
a) [tex]S=50[/tex]
[tex]P(X)=0.02[/tex]
b) [tex]P(W,M,C)=8*10^-^6[/tex]
c) [tex]P(W_2_3)=1.18*10^-^3[/tex]
Step-by-step explanation:
From the question we are told that
Sample space S=50
Sample size n=30
a)Generally the sample space S is
[tex]S=50[/tex]
The probability measure is given as
[tex]P(X)=\frac{1}{50}[/tex]
[tex]P(X)=0.02[/tex]
b)
Generally the probability that the class hangs Wisconsin’s flag on Monday, Michigan’s flag on Tuesday, and California’s flag on Wednesday is mathematically given as
Probability of each one being hanged is
[tex]P(X)=\frac{1}{50}[/tex]
Therefore
[tex]P(W,M,C)=\frac{1}{50} *\frac{1}{50}* \frac{1}{50}[/tex]
[tex]P(W,M,C)=\frac{1}{125000}[/tex]
[tex]P(W,M,C)=8*10^-^6[/tex]
c)Generally the probability that Wisconsin’s flag will be hung at least two of the three days is mathematically given as
Probability of two days hung +Probability of three days hung
Therefore
[tex]P(W_2_3)=^3C_2 (1/50) * (1/50) * (49/50) +^3C_3 (1/50) * (1/50) *(1/50)[/tex]
[tex]P(W_2_3)=148 / 125000[/tex]
[tex]P(W_2_3)=1.18*10^-^3[/tex]
when time in hours (t) increases, how does distance in km (d) change?
Question seems incomplete but will be explained with assumptions
Answer and explanation:
If for example, a car travels 30 km per hour, then it would travel 60km in 2 hours and 90km in 3 hours and so on
We can apply the formula for distance as such:
Distance(d)= Speed(s) × time(t)
d=st
Where d is distance travelled say 60km
S is speed= 30km/hr
Time = 2 hrs
Also to calculate speed when distance and time is given, we can make speed the subject of the formula:
s=d/t
To calculate time when distance and speed are given, we can make time the subject of the formula:
t=d/s
Which of the following descriptions best defines the term logistic growth?
A. A type of growth that is exponential at first but slows as the
amount reaches a certain maximum value
B. A type of growth that is linear at first but slows as the amount
reaches a certain maximum value
C. A type of growth that is linear at first but slows as the amount
reaches a certain minimum value
D. A type of growth that is exponential at first but slows as the
amount reaches a certain minimum value
Fr
Select the correct answer. For which quotient is x=7 an excluded value?
Answer:
[tex]\frac{7x}{x^2 - 10x + 21} / \frac{x + 7}{7}[/tex]
Step-by-step explanation:
Given
See attachment
To answer this question, we start by equating the denominators of each option to 0; then, solve for x
(a):
[tex]\frac{7x}{x^2 - 10x + 21} / \frac{x + 7}{7}[/tex]
This gives
[tex]\frac{7x}{x^2 - 10x + 21} * \frac{7}{x + 7}[/tex]
Set the denominator to 0
[tex](x^2 - 10x + 21)(x + 7) = 0[/tex]
Solve for x
[tex](x^2 - 7x - 3x + 21)(x + 7) = 0[/tex]
Factorize:
[tex](x(x - 7) - 3(x - 7))(x + 7) = 0[/tex]
[tex](x - 7)(x - 3)(x + 7) = 0[/tex]
This implies that:
[tex]x = 7\ or\ x = 3\ or\ x = -7[/tex]
From above, one of the values of x is 7.
This implies that x = 7 is an excluded value for this quotient.
Other options do not need to be checked, since there is only one answer.
Answer:
A
Step-by-step explanation:
which represents the rotation of ABC toA’B’C
a:(x,y) —> (-x,-y)
b:(x,y) —> (x,-y)
c:(x,y) —> (y, -x)
Answer:
a) A (-2,-2) →A¹ ( 2, 2)
B (-5,-2) →B¹ (5 , 2)
C (-3,-4) →C¹ ( 3 ,4))
b)
A (-2,-2) → A¹( -2, 2)
B (-5,-2) →B¹ (-5 , 2)
C (-3,-4) →C¹ ( -3 ,4))
c)
A (-2,-2) → A¹( -2, 2)
B (-5,-2) →B¹ (-2 , 5)
C (-3,-4) →C¹ ( -4 ,3))
Step-by-step explanation:
a) Given the (-2,-2) is rotation 180° of counter clock wise then the transformed
to A (-2,-2) → A¹( 2, 2)
B (-5,-2) →B¹ (5 , 2)
C (-3,-4) →C¹ ( 3 ,4))
b)
Reflection about the x-axis
( x, y) → ( x, -y)
A (-2,-2) → A¹( -2, 2)
B (-5,-2) →B¹ (-5 , 2)
C (-3,-4) →C¹ ( -3 ,4))
c)
( x, y) → ( y, -x)
Given (x, y) is rotation 90° of clock wise about the origin then the transformed to
A (-2,-2) → A¹( -2, 2)
B (-5,-2) →B¹ (-2 , 5)
C (-3,-4) →C¹ ( -4 ,3))
I have to find out what m
Use either Gaussian elimination or Gauss-Jordan elimination to solve the given system or show that no solution exists. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, use t for the parameter.) x1 + x2 + x3 = 0 x1 + x2 + 9x3 = 0
Answer:
x1 = t, x2 = -t and x3 = 0
Step-by-step explanation:
Given the system of equation
x1 + x2 + x3 = 0 .... 1
x1 + x2 + 9x3 = 0 .... 2
Subtract both equation
x3 - 9x3 = 0
-8x3 = 0
x3 = 0
Substitute x3 = 0 into equation 1
x1 + x2 + 0 = 0
x1+x2 = 0
x1 = -x2
Let t = x1
t = -x2
x2 = -t
Hence x1 = t, x2 = -t and x3 = 0
2. The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that he must stop at the first signal is 0.36, the analogous probability for the second signal is 0.54, and the probability that he must stop at at least one of the two signals is 0.65. What is the probability that he must stop at exactly one signal?
Answer:
0.30
Step-by-step explanation:
Probability of stopping at first signal = 0.36 ;
P(stop 1) = P(x) = 0.36
Probability of stopping at second signal = 0.54;
P(stop 2) = P(y) = 0.54
Probability of stopping at atleast one of the two signals:
P(x U y) = 0.6
Stopping at both signals :
P(xny) = p(x) + p(y) - p(xUy)
P(xny) = 0.36 + 0.54 - 0.6
P(xny) = 0.3
Stopping at x but not y
P(x n y') = P(x) - P(xny) = 0.36 - 0.3 = 0.06
Stopping at y but not x
P(y n x') = P(y) - P(xny) = 0.54 - 0.3 = 0.24
Probability of stopping at exactly 1 signal :
P(x n y') or P(y n x') = 0.06 + 0.24 = 0.30
Factor each expression, if possible. Identify any special cases, such as the difference of squares or a perfect square trinomial xy-4y+2x-8
Answer:
[tex]xy-4y+2x-8 = (y + 2)(x-4)[/tex]
Step-by-step explanation:
Given
[tex]xy-4y+2x-8[/tex]
Required
Factor the expression
[tex]xy-4y+2x-8[/tex]
Group the expression
[tex](xy-4y)+(2x-8)[/tex]
Factor each group
[tex]y(x-4)+2(x-4)[/tex]
This gives:
[tex](y + 2)(x-4)[/tex]
Hence:
[tex]xy-4y+2x-8 = (y + 2)(x-4)[/tex]
A rectangular room measures 21 feet by 28 feet with a 10-foot-high ceiling. The flooring is being replaced with carpeting that sells for $10.45 per square foot and entails a $149 installation fee. What is the total pricing for the carpeting with an 8.0% sales tax
9514 1404 393
Answer:
$6,797.09
Step-by-step explanation:
The area of the floor is ...
(21 ft)(28 ft) = 588 ft²
Then the cost of the carpet material is ...
(588 ft²)($10.45/ft²) = $6,144.60
The subtotal with installation fee is ...
$6,144.60 +149.00 = $6,293.60
Adding the sales tax multiplies this amount by 1 +8% = 1.08, so the final price is ...
1.08 × $6,293.60 = $6,797.09 . . . total price