40
Step-by-step explanation:
Each number is followed by a number that is half its value, so the sequence goes like
320, 160, 80, 40, 20, 10.
What are the domain and range of the function f(x) = 3^x + 5?
a. domain: (negative infinity, infinity); range: (0, infinity)
b. domain: (negative infinity, infinity); range: (5, infinity)
c. domain:(0, infinity); range: (negative infinity, infinity)
d. domain: (5, infinity); range: (negative infinity, infinity)
PLEASE RESPOND QUICKKK THANK YOUU
Answer:
b. domain: (negative infinity, infinity); range: (5, infinity)
Step-by-step explanation:
Answer:
B. Domain: (negative infinity, infinity);
Range: (5, infinity)
The number of measles cases decreased by 7% to 606 cases this year. What was the number of cases prior to the increase? Express your answer rounded correctly to the nearest whole number.
Answer:
652 cases
Step-by-step explanation:
The formula for percentage increase is 100 times the final-initial/final value. If we plug the numbers in and calculate, we get 652 cases. Have a great day!
Which rations are equivalent to 30:20? check all that apply
Answer:
3:2, 6;4 hope this helps
Answer:
C, D
Step-by-step explanation:
If you multiply both numbers of a ratio by the same number, you get an equivalent ratio.
A. Divide both numbers by 10
40:30 = 4:3 No
B. 10:0 No
C. Multiply both numbers by 10
3:2 = 30:20 Yes
D. Multiply both numbers by 5
6:4 = 30:20 Yes
Find the next number of the series 563, 647, 479, 812
Answer:
146
Step-by-step explanation:
next number is the last -666
We deposit $12000 into an account carning 3 % interest compounded continuously, How many years will it take
for the account to grow to $16800? Round to 2 decimal places,
Answer:
The answer is 13.33 year
Step-by-step explanation:
P = $12000
Rate = 3%
Amount = $16800
so,
I = A-P
= $16800 - $12000
= $4800
So,
T = (I × 100)/P×R
= (4800×100)/P×R
= 480000/($12000×3)
= 480000/36000
= 480/36
= 13.33 year
25/24 as a decimal rounded to nearest hundredth
Divide 25 by 24:
25 / 24 = 1.0416
The hundredth place is the second decimal place, because the third decimal place is less than 5, the hundredths place stays the same:
Answer: 1.04
If a student walked 2 feet straight to the chalk board in 2 seconds and
then walked 2 feet back to his or her original position at his or her desk at
the same speed, what was the student's displacement at 2 seconds
compared to 0 seconds?
O 6 feet
O O feet
O2 feet
O 4 feet
Answer:
2 feet
Step-by-step explanation:
Displacement at 0 seconds is 0 feet.
Displacement at 2 seconds is 2 feet because it took them 2 seconds to walk 2 feet.
What is the average (with 0 decimal places) across all schools for the total score? Group of answer choices 1287 1215 1221 1229
Answer:
See explanation
Step-by-step explanation:
Required
The average
The data whose average is to be calculated are not given.
However, the formula to calculate the average is:
[tex]\bar x = \frac{\sum x}{n}[/tex]
Assume the data is:
[tex]1287\ 1215\ 1221\ 1229[/tex]
This means that the number of schools is 4
So:
[tex]\bar x = \frac{1287+ 1215+ 1221+ 1229}{4}[/tex]
[tex]\bar x = \frac{4952}{4}[/tex]
[tex]\bar x = 1238[/tex]
The average of the assumed data is 1238
Please help. I'm stuck on this problem
Answer:
Step-by-step explanation:
[tex]h(t)=-16t^2+96t\\\\h(t)=-t(16t-96)[/tex]
[tex]96=2^5*3\\\\16=2^4\\\\h(t)=-t(2^5*3*t-2^4)=-2^4t(2^1*3*t-1)\\\\h(t)=-16t(6t-1)[/tex]
the b) part is easy do it!
19. The sum of a number m and a number n, multiplied by ninety-one 20. Forty-one times the difference when six is subtracted from a num- bera 21. A number r divided by the difference between eighty-three and ten 22. The total of a number p and twelve, divided by eighteen 23. The product of a number c and three more than the sum of nine and twelve 24. The sum of a number y and ten, divided by the difference when a number x is decreased by five. I need to convert all of them into expressions. PLEASE HELP.
Answer:
Step-by-step explanation:
19.
The numbers are m and n
Sum of m and n = m + n
Sum is multiplied by 91 = 91 x ( m + n )
20.
Let the number be = m
Six subtracted from the number = m - 6
41 times the difference = 41 x ( m - 6)
21.
Let the number be = r
Difference between 83 and 10 = 83 - 10 = 73
[tex]The \ number\ divided \ by\ the \ difference \ = \frac{r}{73}[/tex]
22.
Total of p and 23 = p + 12
[tex]Total \ divided \ by \ 18 = \frac{p + 12 }{18}[/tex]
23.
The product of c and 3 = 3c
Sum of 9 and 12 = 21
Product is more than Sum = 3c + 21
24.
Sum of y and 10 = y + 10
Number x decreased by 5 = x - 5
[tex]Sum \ divided \ by \ difference = \frac{ y + 10 }{x - 5}[/tex]
in a five character password the first two characters must be digits and the last three characters must be letters if no characters are allowed to repeat how many unique passwords are possible
Answer:
1,404,000 unique passwords are possible.
Step-by-step explanation:
The order in which the letters and the digits are is important(AB is a different password than BA), which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this question:
2 digits from a set of 10(there are 10 possible digits, 0-9).
3 characters from a set of 26. So
[tex]P_{10,2}P_{26,3} = \frac{10!}{8!} \times \frac{26!}{23!} = 10*9*26*25*24 = 1404000[/tex]
1,404,000 unique passwords are possible.
A regular polygon has each interior angle is 156°, what is the number of sides of the polygon? A. 14 C. 16 B. 15 D. 17
Answer:
option B is correct
interior angle of given polygon =156
exterior angle of polygon=180 - 156 =24
as we know that sum of exterior angle of any polygon is 360 degree
so number of sides of regular polygon=360/24=15
Answer:
option B. 15
Step-by-step explanation:
Sum of interior angles of a polygon with n sides = ( n - 2 ) x 180°
Therefore each interior angle,
[tex]\frac{n - 2}{n} \times 180^\circ[/tex]
Given the interior angles = 156°
That is ,
[tex](\frac{n-2}{n}) \times 180 = 156\\\\\frac{n-2}{n} = \frac{156}{180}\\\\1- \frac{2}{n} = \frac{156}{180}\\\\1 - \frac{156}{180} = \frac{2}{n}\\\\\frac{180-156}{180} = \frac{2}{n}\\\\\frac{24}{180} = \frac{2}{n}\\\\24 \times n = 2 \times 180\\\\n = \frac{2 \times 180}{24} =\frac{180}{12} = 15[/tex]
19.Find dy/dx
of the function y = f(x) definded by x²+xy-y2 = 4.
Answer:
2x + y
Step-by-step explanation:
x² + xy - y² = 4
→ Remember the rule, bring the power down then minus 1
2x + y
Find the value of x in the kite below.
60°
O
x = [?]
Answer:
30
Step-by-step explanation:
The given is right triangle with angle measure 90-60 and 30 degrees as we can see on the image.
what ordered pair makes both inequalities true
-3,5
-2,2
-1,-3
0,-1
Answer:
(-2, 2)
Step-by-step explanation:
(-2, 2) is the only ordered pair that makes both inequalities true.
Answer:
B
Step-by-step explanation:
got it right
The degree of polynomial 8x^2y^2-5x^2y^2-x^3y is
Answer:
The degree is the highest number exponent....
that is hard to see in your question...
it does appear to be a 2?
Step-by-step explanation:
A venture capital company feels that the rate of return (X) on a proposed investment is approximately normally distributed with mean 30% and standard deviation 10%.
(a) Find the probability that the return will exceed 55%.
(b) Find the probability that the return will be less than 25%
(c) What is the expected value of the return?
(d) Find the 75th percentile of returns.
Answer:
a) 0.0062 = 0.62% probability that the return will exceed 55%.
b) 0.3085 = 30.85% probability that the return will be less than 25%
c) 30%.
d) The 75th percentile of returns is 36.75%.
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 30% and standard deviation 10%.
This means that [tex]\mu = 30, \sigma = 10[/tex]
(a) Find the probability that the return will exceed 55%.
This is 1 subtracted by the p-value of Z when X = 55. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{55 - 30}{10}[/tex]
[tex]Z = 2.5[/tex]
[tex]Z = 2.5[/tex] has a p-value of 0.9938
1 - 0.9938 = 0.0062
0.0062 = 0.62% probability that the return will exceed 55%.
(b) Find the probability that the return will be less than 25%
p-value of Z when X = 25. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{25 - 30}{10}[/tex]
[tex]Z = -0.5[/tex]
[tex]Z = -0.5[/tex] has a p-value of 0.3085
0.3085 = 30.85% probability that the return will be less than 25%.
(c) What is the expected value of the return?
The mean, that is, 30%.
(d) Find the 75th percentile of returns.
X when Z has a p-value of 0.75, so X when Z = 0.675.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.675 = \frac{X - 30}{10}[/tex]
[tex]X - 30 = 0.675*10[/tex]
[tex]X = 36.75[/tex]
The 75th percentile of returns is 36.75%.
You have $1000 to invest in two different accounts. To save the money you need for college, you need to average 5.7 percent interest. If the two accounts pay 4 percent and 6 percent interest, how much should you invest in each account?
$550 in 4%, $450 in 6%
$300 in 4%, $700 in 6%
$700 in 4%, $300 in 6%
$150 in 4%, $850 in 6%
Answer:
D
Step-by-step explanation:
that is the solution above
Exercise
a. I choose the correct option from Contain Questions
i Which of the following is a group set ?
(b) A happy person in the Village
(c) Simple Ex in the book (d) school age student
(Weekly
Answer:
happy person in the village
If you have 3/8 of one pie, what does the denominator tells you ?
Step-by-step explanation:
There was originally 8 pieces of pie.
Answer:
if you have 3/8 of one pie, the denominator tells you that the pie was divided into 8 piece.
identify the largest value in fraction 3/4, 1/2, 3/5
Answer:
1/2
Step-by-step explanation:
The largest value in fraction it is 1/2 because the fraction is small amount .while the 3/4 is least amount .and 3/5 is greatest amount fractions
im honestly stuck in this question
The correct answer is the fourth one, as it pinpoints both dots perfectly
Find the value of y in the equation y=-4x+9 when x=-3
Answer:
y = 21
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
y = -4x + 9
x = -3
Step 2: Evaluate
Substitute in x [Equation]: y = -4(-3) + 9Multiply: y = 12 + 9Add: y = 21Find the measure of the arc
The answer is kindly 21 (100% correct)
2x+3y=8 2x+2y=−5 determine their vertical distance
Answer:
x=2.5
Step-by-step explanation:
2 (2+3y)÷2+3y=8
2+3y+3y=8
2+6y=8
6y=8-2
6y=6
y=1
x=2+3(1)÷2
x=5÷2
x=2.5
The values of x and y are 2.5,1
Give at least four different symbols that have been used to represent specific statistical measures. Describe what measure each represents.
can you show a picture of the symbols
Nina and Amy began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Nina took a test in English and earned a 71.8, and Amy took a test in Social Studies and earned a 60.7. Use the fact that all the students' test grades in the English class had a mean of 71.7 and a standard deviation of 11.7, and all the students' test grades in Social Studies had a mean of 60.6 and a standard deviation of 10.5 to answer the following questions.
a) Calculate the z-score for Nina's test grade.
b) Calculate the z-score for Amy's test grade.
c) Which person did relatively better?
i. Nina
ii. Amy
iii. They did equally well.
Answer:
a) [tex]Z = 0.0085[/tex]
b) [tex]Z = 0.0095[/tex]
c) ii. Amy
Step-by-step explanation:
Z-score:
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.
Question a:
Nina took a test in English and earned a 71.8. In the English class had a mean of 71.7 and a standard deviation of 11.7.
This means that [tex]X = 71.8, \mu = 71.7, \sigma = 11.7[/tex]
So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{71.8 - 71.7}{11.7}[/tex]
[tex]Z = 0.0085[/tex]
Question b:
Amy took a test in Social Studies and earned a 60.7. Students' test grades in Social Studies had a mean of 60.6 and a standard deviation of 10.5.
This means that [tex]X = 60.7, \mu = 60.6, \sigma = 10.5[/tex]
So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{60.7 - 60.6}{10.5}[/tex]
[tex]Z = 0.0095[/tex]
c) Which person did relatively better?
Amy had a higher z-score, so she did relatively better.
A party supply company makes cone shaped party hats for children using thin cardboard. To the nearest square centimeter, how much cardboard is required to make the party hate use pie = 3.14.
Answer:
A. 754 cm²
Step-by-step explanation:
Amount of cardboard needed = surface area of the cone
Curved surface area of the cone = πrl
Where,
π = 3.14
r = ½(20) = 10 cm
l = 24 cm
Plug in the values into the formula
Curved surface area = 3.14 × 10 × 24 = 753.6 ≈ 754 cm²
In the following please select whether a hypothesis test or a confidence interval is most appropriate.
a. A business owner wants to know what proportion of sales occur online for their store.
b. A book publisher wants to know if more than 25% of customers buy an entire book series all at once instead of as individual books.
c. A professor wants to know the proportion of students who regularly show up to class.
d. A researcher is interested in seeing if less than 50% of Americans support the tariffs on Chinese goods.
Answer:
A. Confidence interval
B. Hypothesis test
C. Confidence interval
D. Hypothesis test
Step-by-step explanation:
A hypothesis a hypothesis test is done in statistics whereby the person carrying out the test, tests an assumption concerning a population interval.
Confidence interval can be gotten from the statistics of observed data it provides a given range of values for a parameter that is not known.
A.we use the confidence interval here
B. We use the hypothesis test
C. The confidence interval is the appropriate test
D. The hypothesis would be best
Tiham is the only striker of his team. He can catch one of the four passes delivered to him and when he get a pass he takes the shot. One of his four shots go towards the net but the goal keeper of the opposite team stop one of every two shots. What is the minimum number of passes have to be delivered to Tiham to score minimum one goal?
Answer:
1/4 *1/4*1/2 =0.03125
which as a fraction is 1/32
so the minimuim number of passes that will get him a goal is 1 since he could get it on the first try
Hope This Helps!!!