Answer:
C. 450 ± 8.695
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 10 - 1 = 9
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.8331
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.8331\frac{15}{\sqrt{10}} = 8.695[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
Confidence interval is sample mean plus/minus margin of error. So
[tex]450 \pm 8.695[/tex]
The correct answer is given by option C.
1 2 2/3×2 1/3 plz help plz
Answer:
76/9
Step-by-step explanation:
Alternative form: 8 4/9, 8.4
Researchers recorded that a certain bacteria population declined from 200,000 to 900 in 18 hours. At this rate of decay,
how many bacteria was there at 10 hours? Round to the nearest whole number,
Answer:
9,942 bacteria were there at 10 hours.
Step-by-step explanation:
Equation for population decay:
The equation for population decay, after t hours, is given by:
[tex]P(t) = P(0)(1-r)^t[/tex]
In which P(0) is the initial population and r is the decay rate, as a decimal.
Researchers recorded that a certain bacteria population declined from 200,000 to 900 in 18 hours.
This means that [tex]P(0) = 200000[/tex] and that when [tex]t = 18, P(t) = 900[/tex]. So we use this to find r.
[tex]P(t) = P(0)(1-r)^t[/tex]
[tex]900 = 200000(1-r)^{18}[/tex]
[tex](1-r)^{18} = \frac{900}{200000}[/tex]
[tex]\sqrt[18]{(1-r)^{18}} = \sqrt[18]{\frac{900}{200000}}[/tex]
[tex]1 - r = (\frac{900}{200000})^{\frac{1}{18}}[/tex]
[tex]1 - r = 0.7407[/tex]
So
[tex]P(t) = P(0)(1-r)^t[/tex]
[tex]P(t) = 200000(0.7407)^t[/tex]
At this rate of decay, how many bacteria was there at 10 hours?
This is P(10). So
[tex]P(10) = 200000(0.7407)^{10} = 9941.5[/tex]
Rounding to the nearest whole number:
9,942 bacteria were there at 10 hours.
Evaluate the expression shown below and write your answer as either a mixed number or fraction in simplest form, or a decimal.
Answer:
What is the current requirement needed for a person to have inbox power in brainly?
Answer:
Evaluate the expression shown below and write your answer as either a mixed number or fraction in simplest form, or a decimal.
2+(-5)+8.25 (-5.5)
Using order of operations how would you solve (3+4)-9 with an equation!!
Please help!!! use the distributive property to rewrite the expression
(x + 3)(2x - 7)
Answer:
Step-by-step explanation:
( x + 3) (2x - 7)
x(2x - 7) + 3(2x - 7)
at first an athlete jogs at 4 miles per hr and then jogs at 6 miles per hour, traveling 8 miles in 1.5 hours. how long does the athlete jogs at each speed? the athlete jogged ? hours at a speed of 4 miles per hr and ? hour(s) at a speed of 6 miles per hour?
Answer:
The athlete jogged at 4 miles per hour for 30 minutes, and jogged at 6 miles per hour for 1 hour.
Step-by-step explanation:
Given that at first an athlete jogs at 4 miles per hour and then jogs at 6 miles per hour, traveling 8 miles in 1.5 hours, to determine how long does the athlete jogs at each speed the following calculation must be performed:
4 x 1.5 + 6 x 0 = 6
4 x 1 + 6 x 0.5 = 7
4 x 0.75 + 6 x 0.75 = 7.5
4 x 0.5 + 6 x 1 = 8
Therefore, the athlete jogged at 4 miles per hour for 30 minutes, and jogged at 6 miles per hour for 1 hour.
Can Somone Help me with my homework
Answer:
part A) yes, the bases and heights are the same
Part B) yes, the bases and heights are the same
Part C) not enough info
Step-by-step explanation:
Part C)
area of the circle = π(1/2h)²
area of ellipse = π(1/2h)(1/2 major axis)
Pls help I will give Brainliest
Answer:
C. 26 + 4x = 46
Chloe asked students in her school band these two questions.
Question 1: How many days per week do you practice your instrument?
Question 2: How many times will our band perform this year?
Use the drop-down menus to explain whether each question is a statistical question.
Question 1
Choose
a statistical question because each student's answer will be
Choose...
Question 2 Choose.
a statistical question because each student's answer will be
Choose the options to the question is is and is not
Answer:
Question 1: Statistical
Question 2: Not Statistical
Step-by-step explanation:
Given
Question 1 and 2
Required
Are they statistical questions?
A question is said to be statistical if it can be answered through data collection and if there are variances in the collected data.
Using this yardstick, we can say that (1) is a statistical question because the frequency at which the band perform in a week can be determined by gathering data of their past practice.
This can not be said of (2) because (2) has not been done yet, there is no available data to make predictions and lastly, the variance of an unavailable data can not be determined.
In the coordinate plane, Seth drew a triangle with vertices A(-2,7), B(3, -3), and C(0,2). He reflected the triangle about a vertical line, and then about a horizontal line, to move vertex A to its final location of (10,-5).
Use the drop-down menus to choose the responses that make each statement true
Seth reflected the triangle about the vertical ine 1 = and then about the horizontal line y = 0
He moved vertex B to its final location of
He moved vertex C to its final location of
2021 minute Education Inc
Answer:
we cant see the problem
Step-by-step explanation:
7. What is the volume of the rectangular prism?
4.8 mm
6.4 mm
14.2 mm
Which expression is equivalent to ? Assume
[(2x³y⁴)² × 2x]½
(2x³y⁴)½ ×(2x)½
2x³y⁴(2x)½
Solve for x in the diagram below.
110°
(8x +30°
Answer:
880x+30
880 880
x=29.3 repeating
Step-by-step explanation: Hope this helps
What is the value of i^12?
Answer:
i^12
Step-by-step explanation:
there is no further answer
Answer:
i^12 = 1
One to any power is one.?
1
If ZA and ZB are complementary angles and mA = 60°, then m B =?
Answer:
30 degrees
Step-by-step explanation:
Because the angles are complementary, they MUST equal to 90 degrees
Because measure of Angle A = 60, then the measure of Angle B = 30, because 60 + 30 = 90 degrees
Carols monthly take home pay is $1500. She spends $250 a month on food. What is the ratio of food costs to take home dollars?
Answer:
the ratio of food costs to take home dollars is 1:6
Step-by-step explanation:
The computation of the ratio of the foods cost to take home is shown below:
Given that
Monthly take home pay is $1,500
And, the spending month on food is $250
Based on the above information
The ratio is
= $250 ÷ $1500
= 1:6
Hence, the ratio of food costs to take home dollars is 1:6
What is the period of the following periodic function? to 3 decimal places
y= .5csc(x+9)-6
The retail price of a television set is $2500. If the buyer pays cash, the price is 10% below the retail price. If the set is bought on hire purchase, the buyer pays a downpayment of $500 and 18 monthly installments of $150.
A) Determine the difference between the hire purchase price and the cash price.
B) Calculate the difference as a percentage of the retail price.
Answer:
cash price:
10% = 250
2500 - 250 = $2,250
hire purchase:
2500 + 500 + 150(18) = $5,700
a) 5,700 - 2,250 = $3,450
Plz help me well mark brainliest if you are correct!
Answer:
the radius is 4 inches
Step-by-step explanation:
diameter/2=radius
Answer: 4 inches
Step-by-step explanation: r= d/2=/2=4inches
Examine the following diagram
BI
75 32
3
26592
3
D
75 32"
2859
E
© 2019 StrongMind Created using GeoGebra
If AABC 4AADE, what is the length of AE?
07
04
6
03
9514 1404 393
Answer:
(a) 7
Step-by-step explanation:
The congruence statement tells you that AC ≅ AE. AC is marked as 7, so ...
AE = 7
_____
Additional comment
If you solve the triangle using the Law of Sines, you find that AC = AE = 6.484, not 7.
What is the measure of angle ABC
Answer:
A
Step-by-step explanation:
whats 1girl + 1 girl=
Answer:
(whats 1girl + 1 girl=) uhh ima go with 2girl ;)
Step-by-step explanation:
whats 1girl + 1 girl=?
well 1+1=2 so 1girl + 1 girl= 2girl
4 (x + 5)=12 what is x?
Answer:
x = -2
Step-by-step explanation:
4(x + 5) = 12
4x + 20 = 12
4x + 20 - 20 = 12 - 20
4x = -8
4x / 4 = -8 / 4
x = -2
Hope this helps, thank you :) !!
Can anyone please help??
Answers:
6 pints = 12 cups
16 pints = 8 quarts
8 fluid ounces = 1 cup
8 pints = 1 gallon
Solve the triangle. Round decimal answers to the nearest tenth.
Answer:
[tex]AB= 20.9[/tex]
[tex]A = 33.2^\circ[/tex]
[tex]C = 54.8^\circ[/tex]
Step-by-step explanation:
Given
The above triangle
Required
Complete the lengths
To do this, we make use of sine rule.
[tex]\frac{a}{\sin A} = \frac{b}{\sin B}[/tex]
[tex]\frac{14}{\sin A} = \frac{24}{\sin 70}[/tex]
[tex]\frac{14}{\sin A} = 25.54[/tex]
Cross multiply
[tex]\sin A * 25.54 = 14[/tex]
[tex]\sin A = \frac{14}{25.54}[/tex]
[tex]\sin A = 0.5482[/tex]
Take Arc sine of both sides
[tex]A = sin^{-1}(0.5482)[/tex]
[tex]A = 33.2^\circ[/tex]
To calculate C, we have:
[tex]C = 180 -A-B[/tex] --- angles in a triangle
[tex]C = 180 -55.2-70[/tex]
[tex]C = 54.8^\circ[/tex]
Calculate length AB using the sine rule.
[tex]\frac{AB}{sin C} = \frac{AC}{B}[/tex]
So, we have:
[tex]\frac{AB}{sin 54.8} = \frac{24}{sin 70}[/tex]
Make AB the subject
[tex]AB= sin 54.8*\frac{24}{sin 70}[/tex]
[tex]AB= sin 54.8* 25.54[/tex]
[tex]AB= 20.9[/tex] -- approximated
4. Find the value of x.
Can you pls show work thank you for your time
Answer:
x= 12
Step-by-step explanation:
11x+2=134
-2 -2
_________
11x = 132
__ ___
11 11
x=12
NEED HELP ASAP 20 POINTS WHAT WOULD THE MEASUREMENT FOR THE EXTERIOR ANGLE (ANGLE B) BE???
Answer: I love these... Okay so the exterior angle is equal to the two remote interior angles meaning that 120 would be equal to 15x+5+22x+4 which is 70
Step-by-step explanation:
Find the value of x in the triangle shown below.
a. x=21
b. x=42
c. x= 15
d. x=21
find the volume and surface area of each solid. you may use a calculator and use 3.14 as an approximation for pi
Answer:
Area = 452.16 cm²
Volume = 904.32 cm³
Step-by-step explanation:
The solid is a sphere, therefore,
Volume = ⁴/3πr³
Where,
π = 3.14
r = 6 cm
Volume = ⁴/3*3.14*6³
Volume = 904.319997 ≈ 904.32 cm³ (nearest hundredth)
Area = 4πr²
Area = 4*3.14*6²
Area = 452.16 cm²
Help please!!! I can’t figure it out
9514 1404 393
Answer:
C. ... 3 1/4 cups
Step-by-step explanation:
The problem statement tells you that the other measures are combined. That means you're looking for an expression like ...
3/8 × ((3 2/3) +(2 1/4) +(2 3/4))
This eliminates choices B and D.
If you look at the numbers in parentheses, you see that the 1/4 and 3/4 will have a sum of 1, so the only fraction in the sum will be 2/3. This eliminates choice A.
The only viable answer choice is C.
__
If you like, you can check to see that answer C is correct.
(3/8)(8 2/3) = (3/8)(26/3) = 26/8 = 3 2/8 = 3 1/4