Answer:
7 years
Step-by-step explanation:
We expect your equation is ...
200e^(.08t) = 350
Dividing by 200 and taking the natural log, we have ...
0.08t = ln(1.75)
t = ln(1.75)/.08 ≈ 7.0
The money has been invested 7 years.
A factory makes bicycles.Out of 300 bicycles, 2 were found to have defective brakes
A.what is the experimental probability that the next bike manufactured will have defective brakes?
B. Predict how many bikes out of 2,100 will have defective brakes.
Answer:
A. 2/300=1/150
B.1/315,000
Step-by-step explanation:
B. 1/150*2100=1/315000
suppose you roll two dice. find the probability of rolling a sum of 11.
Answer:
1/18
Step-by-step explanation:
There are 36 different possible combinations. There are only two ways of rolling a sum of 11.
2/36 = 1/18
The following are all 5 quiz scores of a student in a statistics course. Each quiz was graded on a 10-point scale.
6,6, 5, 8, 10
Assuming that these scores constitute an entire population, find the standard deviation of the population. Round your answer to two decimal places.
Answer:
2
Step-by-step explanation:
Given: 5 quiz scores of a student in a statistics course are 6,6, 5, 8, 10
To find: standard deviation of the population
Solution:
Mean (M) = [tex]\frac{\sum_{i=1}^{n}x_i}{n}[/tex]
here, [tex]x_i[/tex] denotes number of observations and n denotes number of observations.
Variance = [tex]\frac{\sum_{i=1}^{n}(x_i-M)^2}{n-1}[/tex]
Standard deviation = [tex]\sqrt{variance}[/tex]
[tex]M=\frac{6+6+5+8+10}{5}=\frac{35}{5}=7[/tex]
Variance = [tex]\frac{\sum_{i=1}^{n}(x_i-7)^2}{n-1}[/tex]
[tex]=\frac{\left [ (6-7)^2+(6-7)^2+(5-7)^2+(8-7)^2+(10-7)^2 \right ]}{5-1}\\=\frac{1+1+4+1+9}{4}\\=\frac{16}{4}\\=4[/tex]
Standard deviation = [tex]\sqrt{4}=2[/tex]
What is the missing angle of the blue triangle using A^2 + B^2 = C^2
Answer:
45° 45° 90°
Step-by-step explanation:
The whole figure is a rectangle, so the blue triangle is right. It is isosceles, so the angles are 45° 45° 90°
The range of F(x)= 7•4^x is all positive real numbers
Answer:
its true
Step-by-step explanation:
A group of kinesiology students wanted to know if individuals who took group fitness classes lost more weight than individuals who worked out on their own. They obtained a sample of 70 individuals who wanted to lose weight. The first 35 participants to show up for the study were assigned to the group fitness condition; they attended a group fitness class twice a week. The second 35 participants were assigned to the individual workout condition; they worked out alone in the gym twice a week. Change in weight over a 15 week period was recorded and compared for the two groups.
Is this an observational or experimental study?
Answer:
Experimental.
Step-by-step explanation:
It is an independent measure design. Multiple experimental groups are used in an independent measures design, which is a research method and participants are only in one group. Each participant is only in one condition of the independent variable during the experiment.
What’s the correct answer for this?
Answer: false
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
unless u used a ruler nothing would find it out
HOPE THIS HELPS
A circle has a diameter of 12 units what could be the equation of the circle? Check all that apply
Answer: The correct options are
(B) (x-6)^2+y^2=36,
(D) (x+6)^2+y^2=36.
What’s the correct answer for this?
Answer:
C = √137
Step-by-step explanation:
In the attached file
The expression 2362 x 1= 2362 is true because of what property
Answer:
The multiplication property of 1
Step-by-step explanation:
Any number that multiplied by one gives the number
solve for c 45 = 3c
Answer:
c=15
Step-by-step explanation:
45=3c,divide
c=15
Last Thursday was costume day at Emmet's school. 108 out of the 120 students at the school wore a costume. What percentage of the students wore a costume?
Answer:
90%
Step-by-step explanation:
100%=120 pupils
108pupils
108 x 100= 10800/120=90 %
A radio disc jockey has 7 songs on this upcoming hour's playlist: 3 are rock songs, 2 are reggae songs, and 2 are country songs. The disc jockey randomly chooses the first song to play, and then she randomly chooses the second song from the remaining ones. What is the probability that both songs are reggae songs? Write your answer as a fraction in simplest form.
Answer:
1/21
Step-by-step explanation:
Total: 7
P(reggae and reggae)
= 2/7 × (2-1)/(7-1)
= 2/7 × 1/6
= 1/21
PLEASE HELP ME with an explanation. Thanks in advance
Answer:
Option 3.
Step-by-step explanation:
Let T=Total, B=Brother and S=Sister. By using given diagram, we get
[tex]n(B)=28+68=96[/tex]
[tex]n(S)=82+68=150[/tex]
[tex]n(T)=28+68+82+52=230[/tex]
[tex]n(B\cap S)=68[/tex]
Using this information, we get
[tex]P(B)=\dfrac{n(B)}{n(T)}=\dfrac{96}{230}\approx 0.42[/tex]
[tex]P(S)=\dfrac{n(S)}{n(T)}=\dfrac{150}{230}\approx 0.65[/tex]
[tex]P(S|B)=\dfrac{P(B\cap S)}{P(B)}=\dfrac{n(B\cap S)}{n(B)}=\dfrac{68}{96}\approx 0.71[/tex]
[tex]P(B|S)=\dfrac{P(B\cap S)}{P(S)}=\dfrac{n(B\cap S)}{n(S)}=\dfrac{68}{150}\approx 0.45[/tex]
The probability P(S|B) has the largest value.
Therefore, the correct option is 3.
A sphere has a diameter of 18 inches. What is the volume of this sphere? Use ≈ 3.14 and round your answer to the nearest tenth.
Answer:
3053.63 cu. inches
Step-by-step explanation
Volume = 4/3 pi r^3
Answer:
[tex]v \: \: ≈
3053.62 {in}^{3}
[/tex]
Step-by-step explanation:
[tex]v = \frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3} \times \pi \times {9}^{3} \\ ≈
3053.62806
[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Solve tan x/3 = 1.
Answer:
3π/4 radians
Step-by-step explanation:
arctan(tan(x/3))=1
x/3=π/4 rad
x = 3π/4 radians
Li is using a cone shaped cup with a diameter of 7 and 3/8 cm and a height of 10 cm. Find the total volume of the cup. Round to the nearest tenth.
Answer:
The volume of the cup is of 142.2 cubic centimeters.
Step-by-step explanation:
The cone volume is given by the following equation:
[tex]V = \frac{\pi r^{2}h}{3}[/tex]
In which r is the radius, which is half the diameter, and h is the height.
In this question:
Dimensions in cm, so the volume will be in cubic centimers.
Height of 10 cm, so [tex]h = 10[/tex]
Diameter of [tex]7 + \frac{3}{8} = \frac{7*8 + 3}{8} = \frac{59}{8} = 7.375[/tex]
So the radius is [tex]r = \frac{7.375}{2} = 3.6875[/tex]
Volume of the cup:
[tex]V = \frac{\pi*(3.6875)^{2}*10}{3} = 142.4[/tex]
The volume of the cup is of 142.2 cubic centimeters.
What is the product?
5/
3
23
42
52
4
54
5
44
Answer:
5,10,15,20,25,30,25,40,45,50,55,
Step-by-step explanation:
A study randomly assigned adult subjects to one of three exercise treatments: (1) a single long exercise period five days per week; (2) several ten-minute exercise periods five days per week; and (3) several ten-minute periods five days per week using a home treadmill. The study report contains the following summary statistics about weight loss (in kilograms) after six months of treatment: Does the type of exercise treatments influence weight loss significantly? Use α = 5%. Treatment Mean Std. Dev. n Long periods 10.2 4.2 10 Multiple short periods 9.3 4.5 10 Multiple short periods with treadmill 10.2 5.2 10 The test statistic is:
Answer:
Step-by-step explanation:
Hello!
For this study adult subjects were randomly assigned to three different exercise treatments establishing three different groups:
Group 1: Single long exercise period five days per week
Group 2: Several 10' exercise periods five days per week
Group 3: Several 10' exercise periods five days per week using a home treadmill
All subjects were weighed before and after 6 months of training and their weight loss was determined.
The objective of this study is to determine if there is any difference between the treatments, meaning, if the weight loss is the same regarding the type of exercise or if the type of exercise has some influence over it.
To test this you have to conduct an ANOVA, with the hypothesis:
H₀: μ₁= μ₂= μ₃
H₁: At least one μi differs from the others. ∀ i=1, 2, 3
α: 0.05
The statistic is:
[tex]F= \frac{MS_{Tr}}{MS_{Er}} ~~F_{k-1; n-k}[/tex]
Normally it is better to have the raw data to conduct the analysis using statistical software, but it is not impossible to calculate the statistic using the descriptive statistics for each group.
As you know the statistic is calculated as the ratio between the mean square of the treatments (between groups) and the mean squares of errors.
Each means square is calculated as the sum of squares by the degrees of freedom of the category: SS/Df
So first you need to determine the SS and Df of treatments and errors, then the MS and finally the value of F.
Treatments:
> The degrees of freedom between treatments are k-1 (k represents the number of treatments):
DfTr: 3-1= 2
>The sum of squares is:
SSTr: ∑ni(Ÿi - Ÿ..)²
Ÿi= sample mean of sample i ∀ i= 1,2,3
Ÿ..= grand mean is the mean that results of all the groups together.
So the Sum of squares of treatments (SSTr) is the sum of the square of the difference between the sample mean of each group and the grand mean.
To calculate the grand mean you can sum the means of each group and dive it by the number of groups:
Ÿ..= (Ÿ₁ + Ÿ₂ + Ÿ₃)/ k = (10.2+9.3+10.2)/3= 29.7/3= 9.9
SSTr= (Ÿ₁ - Ÿ..)² + (Ÿ₂ - Ÿ..)² + (Ÿ₃ - Ÿ..)²= (10.2 - 9.9)² + (9.3 - 9.9)² + (10.2 - 9.9)²= 0.54
> The Means Squares is:
MSTr= SSTr/DFTr= 0.54/2= 0.27
Errors
>Degrees of freedom of error DfEr= N-k Where N is the total of observations of the experiment (N= n₁+n₂+n₃) and k is the number of treatments.
DfEr= N-k= 30-3= 27
>The mean square error (MSEr) is the estimation of the variance error (σ[tex]_{e}^2[/tex] → S[tex]_{e}^2[/tex]), you have to use the following formula:
[tex]S_{e}^2= \frac{(n_1-1)S^2_1+(n_2-1)S_2^2+(n_3-1)S^2_3}{N-k}= \frac{(9*17.64)+(9*20.25)+(9*27.04)}{27}= \frac{584.37}{27}= 21.643[/tex]
Finally you calculate the statistic:
[tex]F_{H_0}= \frac{MS_{Tr}}{MS_{Er}}= \frac{0.27}{21.643}= 0.012[/tex]
This test is One-tailed right, meaning that you'll reject to high values of the statistic and there is one critical value:
[tex]F_{k-1;N-k;1-\alpha }= F_{2;27;0.95}= 3.35[/tex]
Using the critical value approach, the decision rule is:
If [tex]F_{H_0}[/tex] ≥ 3.35, reject the null hypothesis.
If [tex]F_{H_0}[/tex] < 3.35, do not reject the null hypothesis.
The calculated value is less than the critical value, the decision is to not reject the null hypothesis.
So at a 5% significance level, there is not enough evidence to conclude that the treatments influence significantly in weight loss. The population mean weight loss is the same for the treatments "Single long exercise period five days per week", "Several 10' exercise periods five days per week" and "Several 10' exercise periods five days per week using a home treadmill"
I hope this helps!
Find the product.
y4 · y6
The answer is [tex]y^{4+6}[/tex] = [tex]y^{10}[/tex]
There are three choices for a drink three choices for an entree and two choices for dessert find the total number of possible outcomes of ordering one drink one entree and one dessert
Answer:
It is 18
Step-by-step explanation:
Hope this helps have a wonderful day
The possible outcomes of ordering be 18.
What is combination?A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Drink = 3 choice
Entree= 3 choices
Dessert = 2 choice
So, Using tree method
drink 1 2 3
Entree 1 2 3 1 2 3 1 2 3
Dessert 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2
So, the possible outcomes of ordering be 18.
Learn more about combination here:
https://brainly.com/question/26852614
#SPJ2
Ted likes to run long distances. He can run 20 km in 95 minutes.He wants to know how many kilometers he will go if he runs the same pace for 285 minutes. How far will Ted run in 285 minutes
If parallelogram ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A' lie?
[Hint: Place your coordinates in the blank with no parentheses and a space after the comma in the form: x, y]
Parallelogram ABCD is shown.
A is at negative 4, 1.
B is at negative 3, 2.
C is at 0, 2.
D is at negative 1, 1.
Answer:
(Fill in the blank)
Answer:
-4, 1
Step-by-step explanation:
A (-4, 1)
reflected over y-axis –> (4, 1)
reflected over x-axis –> (4, -1)
rotated 180º –> (-4, 1)
when you multiply my digits, the product is 20. When you add my digits the sum is a square number. What number am i
Answer:5 and 4
Step-by-step explanation:
5*4=20
5+4=9 which is a square number
Giving brainliest for CORRECT awnser. Check ALL that apply.
Answer:
C
D
Step-by-step explanation:
C. It is in quadrant I and III
D. It is a hyperbola
What is the combined probability of getting a heads when flipping a coin and
an odd number when spinning a spinner with 4 equal parts numbered 1 to 4?
OA)
B)
ANNI -
o
100
Answer:
25%
Step-by-step explanation:
50% x 50%
Answer:
A. 1/5
Step-by-step explanation:
got on edge
Entomologists are biological scientists who study insects. Entomologists studying tree crickets have found that they chirp at different rates depending on the temperature. The number of chirps per minute, C , that the tree cricket makes is linearly dependent on the temperature, T , in Fahrenheit. The crickets do not chirp at all if the temperature is 40 degrees and at 60 degrees they chirp about 92 times per minute.
A) Express the number of chirps, C , as a function of the temperature, T . Use function notation, and round decimals to one decimal place.
B) How many chirps per minute will crickets make at 75 degrees?
Step 1
Find the rate change at which the crickets are chirping.
Step 2
Find the function
QUICK QUESTION!!WILL GIVE BRAINLIEST
If you pay bus fair for the year ahead , what advantages can I get out of the bus fair, like can I use it to get to other places??
Answer:
it matters were you are going
Step-by-step explanation:
Solve
x^2-4=77
E2020
Answer:
Step-by-step explanation:
Answer:
x = 9 or x = -9
Step-by-step explanation:
x² - 4 = 77
then
x² - 4 + 4 = 77 + 4
then
x² = 81
then
x² - 81 = 0
then
x² - 9² = 0
then
(x - 9)(x + 9) = 0
then
x - 9 = 0 or x + 9 = 0
then
x = 9 or x = -9
__________________________
:)
Prove
sec2x - tan2x = tan(45-x)
Pls Help!!!TQ
Step-by-step explanation:
sec(2x) − tan(2x)
Write in terms of sine and cosine:
1/cos(2x) − sin(2x)/cos(2x)
(1 − sin(2x)) / cos(2x)
Use double angle formulas:
[ 1 − 2 tan x / (1 + tan²x) ] / [ (1 − tan²x) / (1 + tan²x) ]
Multiply by reciprocal:
[ 1 − 2 tan x / (1 + tan²x) ] × [ (1 + tan²x) / (1 − tan²x) ]
Distribute 1 + tan²x:
(1 + tan²x − 2 tan x) / (1 − tan²x)
Factor:
(1 − tan x)² / ((1 − tan x) (1 + tan x))
Simplify:
(1 − tan x) / (1 + tan x)
Rewrite using 1 = tan(45°):
(tan(45°) − tan x) / (tan(45°) + tan x)
Use angle difference formula:
tan(45° − x)