Answer:
1/2
Step-by-step explanation:
A small island country with less than 20,000 cars has decided to reissue the license plates for its cars and has decided on the following rules for assigning numbers and letters to the license plates. Each plate will have 7 character positions that each must be filled. The leftmost character position will hold a letter from the set {D, E, H, G, X}. The next three positions will hold integers from the set {0, 1, ..., 9} but none of the integers can be repeated. The rightmost three positions must be entirely from the set {I, V, X} or entirely from the set {P, Q, R}, with repetition allowed in either case. For example, a valid plate would be G 027 XXI and an invalid plate would be G 337 PQX (two rules violated). What is the maximum number of different license plates following the rules?
a. 270,000
b. 2,624,400
c. 3,645,000
d. 194,400
Answer:
The answer is "Choice d"
Step-by-step explanation:
Given data:
7 position [tex]5, 10 , 9, 8 , 2 \times 3^3[/tex]
calculating the left most filled by any of D, E, H, G, X
a possible way to fill =5
calculating the next 3 value that will be filled 0 to 10 without any repetition
possible way to fill [tex]=10 \times 9 \times 8[/tex]
calculting the last filled any if set [tex]\{I,V,X\} \ \ or \ \ \{P,Q,R\}[/tex] with repetation
possible way [tex]=2 \times 3^3[/tex]
Total different licence plates [tex]= 5 \times 10 \times 9 \times 8 \times 2 \times 3^3=194400[/tex]
1522 customers at a major retailer were surveyed whether or not they made a purchase and were satisfied with the service they received. The table below organized the responses
a) a total of 677 were not satisfied. Of these 494 made a purchase 494/677
b) a total of 624 made a purchase. Of these 494 were not satisfied 494/624
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
Norris bought a television for $899. If the tax is 5.5%, how much sales tax will he pay?
Answer:
$49.445 or $49.5 if they round
Step-by-step explanation:
Answer:
$948.45
Step-by-step explanation:
■ Sales tax: $49.45
■ Cost/Price before ST: $899.00
■ Total Cost/Price including ST: $948.45
Please HElp now no fake answers
Answer:
5.0 and 5.1
Step-by-step explanation:
√26 = 5.099019514 , it's from the calculator
Answer:
the square root of 26 must lie between 5 and 6
Step-by-step explanation:
5.099019514
HELP PLS MIGHT GIVE BRAINLIST BUT ONLY IF 2 PEOPLE ANSWER!
A plane flying horizontally at an altitude of 1 mile and a speed of 460 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 2 miles away from the station. (Round your answer to the nearest whole number.)
Answer:
The rate increases at 398mi/h
Step-by-step explanation:
Given
[tex]\frac{dx}{dt} = 460mi/h[/tex] --- rate when [tex]y = 2[/tex] --- distance
The given parameters is represented with the attached figure
Using Pythagoras theorem [take the attached image as a point of reference]
[tex]y^2 = x^2 + 1^2[/tex]
[tex]y^2 = x^2 + 1[/tex]
Differentiate with respect to time (t):
[tex]2y \frac{dy}{dt} = 2x \frac{dx}{dt}[/tex]
Divide both sides by 2
[tex]y \frac{dy}{dt} = x \frac{dx}{dt}[/tex] --- (1)
When y = 2:
[tex]y^2 = x^2 + 1^2[/tex] --- Pythagoras Theorem
[tex]2^2 = x^2 + 1[/tex]
[tex]4 = x^2 + 1[/tex]
Collect like terms
[tex]x^2 = 4 -1[/tex]
[tex]x^2 = 3[/tex]
Solve for x
[tex]x = \sqrt 3[/tex]
So:
[tex]y \frac{dy}{dt} = x \frac{dx}{dt}[/tex]
Substitute: [tex]x = \sqrt 3[/tex], [tex]\frac{dx}{dt} = 460mi/h[/tex] and [tex]y = 2[/tex]
[tex]2 * \frac{dy}{dt} = \sqrt 3 * 460[/tex]
[tex]2 * \frac{dy}{dt} = 460\sqrt 3[/tex]
Divide by 2
[tex]\frac{dy}{dt} = 230\sqrt 3[/tex]
[tex]\frac{dy}{dt} = 230*1.7321[/tex]
[tex]\frac{dy}{dt} = 398.383[/tex]
[tex]\frac{dy}{dt} \approx 398[/tex]
Determine if the measurements below will create a triangle. Then, explain your thinking.
55°, 80°, 55°
Answer:
No, the measurements given cannot be used to create a triangle.
Explanation:
The sum of all the angles of a triangle should be 180°.
Here,
55°+80°+55°=190°
which is not equal to 180°.
So, the traingle cannot be formed using the given measurements.
Which graph represents the function f(x)=0•2^x+3
Step-by-step explanation:
Literally, lets not waste anybody's time. Super simple fix, you'll thank me later!
Type in desmos graphing calculator.
Suppose that you have a bowl of 500 m&m candies, and each day you eat 1/4 of the candies you have. Is the number of candies left changing linearly or exponentially? Write an equation to model the number of candies left after n days.
Answer:
[tex]500(.75)^{n}[/tex]
Step-by-step explanation:
It is changing exponentially because if you are eating a fraction of the left over m & m's, that is a different amount each time so it can't be linear.
500(1-(1/4))^n
[tex]500(.75)^{n}[/tex]
Initial quantity of the candies = 500
If we eat [tex]\frac{1}{4}[/tex] candies each day, number of candies after one day
= 500 - [tex]\frac{1}{4}\times 500[/tex]
= 500 - 125
= 375
Number of candies after two days
= 375 - [tex]\frac{1}{4}\times (375)[/tex]
= 281.25
Therefore, sequence formed will be.
500, 375, 281.25.......n days
Ratio of 2nd and 1st term = [tex]\frac{375}{500}[/tex] = 0.75
Ratio of 3rd and 2nd term = [tex]\frac{281.75}{375}[/tex] = 0.75
Therefore, there is a common ratio of 0.75 in each successive and previous term.
And the sequence will be a geometric sequence.
Expression for the exponential decay is,
[tex]A=A_0(1-r)^n[/tex]
Here, A = Final amount
[tex]A_0=[/tex] Initial amount
r = percentage decrease
n = duration
From the given question,
[tex]A_0=500[/tex]
r = [tex]\frac{1}{4}=\frac{25}{100}[/tex]
Therefore, equation for the decrease in number of candies will be.
[tex]A=500(1-0.25)^n[/tex]
[tex]A=500(0.75)^n[/tex]
Learn more,
https://brainly.com/question/2193820
What is the value of x in this equation: 4x+5=3x+4
Find the next term of the following sequence.
9. 6. 4
Answer:
3
Step-by-step explanation:
Answer: 3
3 would be the answer cuz the it goes down by 3 then 2 then 1
please help it due rn
Answer:
I think that the answer would be C .
hope it was helpful :)
g A visit to a hospital emergency room for something as simple as a sore throat could have a mean cost of $328. Assume that this cost is normally distributed with a standard deviation of $82. If you want to be in the bottom 50%, what will be the cut-off dollar amount
Answer:
The cut-off dollar amount is $328.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean cost of $328, standard deviation of $82.
This means that [tex]\mu = 328, \sigma = 82[/tex]
If you want to be in the bottom 50%, what will be the cut-off dollar amount?
The 50th percentile, which is X when Z has a pvalue of 0.5. So X when Z = 0.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0 = \frac{X - 328}{82}[/tex]
[tex]X - 328 = 0*82[/tex]
[tex]X = 328[/tex]
The cut-off dollar amount is $328.
Find the value of x in the equation 2^x -4x=0
Answer:
wouldnt the value of x be r?
Employees at The Shoe Shack get a 25% discount when they buy a pair of shoes at the store.
Answer:12
Step-by-step explanation:
Mrs Sogiba is catering for her son's birthday party. She has invited some of
her son's friends to theparty. The number of friends is a compositemultiple of her
son's age on his birthday. She has baked 48 cup cakes and each childwill receive
exactly the same number of cupcakes. Use your knowledge of factors and multiples
to find out how old her son will be on this birthday.
Answer:
48 cupcakes divided by the boys age equals amout of cupcakes per person.
Step-by-step explanation:
CAN SOMEONE HELP ME!!
Rich needs $50,000 for a down payment on a home in 5 years. How much must he deposit into an account that pays 6% interest, com pounded quarterly , in order to meet his goal ?
Answer
37 ,123.52
Explanation
the image above, hope it helps
ANSWER BOTH QUESTIONS
Answer:
a and c
Step-by-step explanation:
The local animal shelter expects a 42% decrease in adoptions in october. During September 85 animals were adopted. About how many animals are expected to be adopted in October?
Answer:
36 animals were expected to be adopted in October
Step-by-step explanation:
42%/100 = 0.42
0.42 * 85 = 35.7
35.7 rounds up to 36 animals! (Since you can't have 0.7 animals XD)
Good luck!!
Answer:
42
___ x 85 = 35.7
100
35.7 rounded would be about 36. Because that is what they are expecting to be adopted.
Figure ABCD is a rhombus. Find the
value of x.
B
3x - 11
E
X +9
A
D
X = [?]
Help please
Answer:
Step-by-step explanation:
3x-11 = x+9
2x = 20
x = 10
Answer:
x=10
Step-by-step explanation:
Is this sequence arithmetic? 6,11,16,21
Answer: Yes, it is.
Step-by-step explanation:
Sorry, I just know the answer because I just did this in school. Like- right now
lyle has this juice box in his lunch. how much juice does it hold when its full?
A. 7/8ft^3
B. 3/14ft^3
C. 1/64ft^3
D. 1/14ft^3
Item 2
A student has earned a 98%, 97%, 83%, 94%, and 90% on her unit tests.
What is the student's median unit test score?
Enter your answer in the box.
Answer: 92.4
Step-by-step explanation: Median is where you add up all numbers and then divide by how many numbers there are so it would be
98+97+83+94+90= 462 Then you divide that by 5 and get 92.4
Hope this helps ^^
Complete the inequality with >, < or =
62
Answer:
4'3 = 6'2
=
Step-by-step explanation:
4 x 4 x 4 = 64
6 x 6 = 64
hope this helps
I need help please help
Answer: 25.12
Step-by-step explanation: good luck
Daphne's teacher told her that the standardized score for her history exam, as compared to the other students in the course, is 2.50. Which of the following is the best interpretation of this standardized score?
A. Daphne's test score is 2.50.
B. Daphne's test score is 2.50 times the average test score of students in the course.
C. Daphne's test score is 2.50 standard deviations above the average test score of students in the course.
D. Daphne's test score is 2.50 above the average test score of students in the course.
E. None of the above gives the correct interpretation.
Answer:
Step-by-step explanation:
Answer: C. Daphne's test score is 2.50 standard deviations above the average test score of students in the course.
Step-by-step explanation: That's what Z-score is
Y=x+3
2x+y=-6
Find the solution :
Answer:
Your solution is (-3,0)
Step-by-step explanation:
Hi,
We know what Y is, so we can plug it into the second equation.
2x + y = -6
2x + (x + 3) = -6
Now, add the like terms...
3x + 3 = -6
3x = -9
x = -3
Now, plug x back in to find y.
y = x + 3
y = (-3) + 3
y = 0
Your solution is (-3,0)
Hope this helps :)
The director of training for an equipment manufacturing company is interested in determining whether different training methods have an affect on the productivity of assembly line employees. She randomly assigns 42 newly hired employees into two groups of 21. The first group receives an on-line training program and the second receives a team based training program. At the end of the training, the employees are evaluated on the time (in seconds) that it takes to assemble a part. The results follow. A hypothesis test is made to see if there is a significant difference in the mean assembly times. What is the null hypothesis?On-Line19.4 16.7 20.7 19.3 21.8 16.8 14.1 17.7 16.1 19.8 16.819.3 14.7 16.0 16.5 17.7 16.2 17.4 16.4 16.8 18.5Team22.4 13.8 18.7 18.0 19.3 20.8 15.6 17.1 18.0 28.2 21.720.8 30.7 24.7 23.7 17.4 23.2 20.1 12.3 15.2 16.0
Answer:
The null hypothesis is that there is no difference between the mean time it takes an online trained employee or a team-based trained employee to assemble the given part
Step-by-step explanation:
The information the director of the equipment manufacturing company is interested in determining is weather the productivity of assembly line employees is affected by the method used in their training
The total number newly hired employees in the sample = 42
The number of newly hired employees that receive training online = 21
The number of newly hired employees that receive training in a team = 21
The given data of the result of the time it takes an employee to assemble a part is presented as follows;
On-Line 19.4, 16.7, 20.7, 19.3, 21.8, 16.8, 14.1, 17.7, 16.1, 19.8, 16.8, 19.3, 14.7, 16.0, 16.5, 17.7, 16.2, 17.4, 16.4, 16.8, 18.5
Team; 22.4, 13.8, 18.7, 18.0, 19.3, 20.8, 15.6, 17.1, 18.0, 28.2, 21.7, 20.8, 30.7, 24.7, 23.7, 17.4, 23.2, 20.1, 12.3, 15.2, 16.0
The mean time for the of the on-line trained employee, [tex]\overline x_1[/tex] = 17.55714
The standard deviation of the time for the of the on-line trained employee, s₁ = 1.93328
The mean time for the of the team based trained employee, [tex]\overline x_2[/tex] = 19.89048
The standard deviation of the time for the of the team based trained employee, s₂ = 4.5667
The null hypothesis, H₀: [tex]\overline x_1[/tex] = [tex]\overline x_2[/tex]
The alternative hypothesis, Hₐ: [tex]\overline x_1[/tex] ≠ [tex]\overline x_2[/tex]
[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]
Therefore, we have;
[tex]t=\dfrac{(19.89048 - 17.55714)}{\sqrt{\dfrac{4.57667^{2}}{21} - \dfrac{1.93328^{2} }{21}}} \approx 2.5776[/tex]
The degrees of freedom, df = n₁ - 1 = 21 - 1 = 20
At 95% confidence level, we have α = 1 - 0.95 = 0.05, and t = 2.086
Therefore, given that the test statistic is larger than the critical 't' value, we reject the null hypothesis. There is sufficient statistical evidence to show that there is a difference between the mean time of assembly value for the on-line trained and team-based employee
write an inequality to represent the situation: the temp stayed above -15 degrees
Answer:
t> - 15
I hope this helps, if it's right please give me brainless
<--------- -15 -10 -5 0
----------------------------------------
there would be an open dot under -15