Answer:
50.2 in.
Step-by-step explanation:
To find the circumference of a circle, multiply the radius by 2, or multiply the diameter by pi.
Here, only the radius is displayed.
8 ⋅ 2 = 16.
16 is the diameter.
Now we can multiply the diameter by pi to get the circumference.
16 ⋅ 3.14 = 50.24
50.24 rounded to the nearest tenth is 50.2
Again, the formula for circumference is diameter ⋅ π (pi).
Therefore, 50.2 in. is the circumference of this circle.
Which Proportion Could Be Used To Solve ...
Answer:
[tex]\frac{6}{h} = \frac{10}{40}[/tex]
Step-by-step explanation:
Given
The attached image
Required
The proportion of the height of the tree
Represent the height of the tree with h.
To solve for h, we make use of the following equivalent ratio
[tex]40 : h = 10 : 6[/tex]
Express as fraction
[tex]\frac{40 }{ h }= \frac{10 }{ 6}[/tex]
Cross multiply
[tex]40 * 6 = 10 * h[/tex]
Divide by 40h
[tex]\frac{40 * 6}{40h} = \frac{10 * h}{40h}[/tex]
[tex]\frac{6}{h} = \frac{10}{40}[/tex]
Brewed decaffeinated coffee contains some caffeine. We want to estimate the amount of caffeine in 8 ounce cups of decaf coffee at local fast food restaurants. Assume that the standard deviation in the amount of caffeine in 8 ounces of decaf coffee is known to be 2 mg. If we wanted to estimate the true mean amount of caffeine in 8 ounce cups of decaf coffee to within /- 0.5 mg, how large a sample would we have to take to achieve this result
Answer:
We would have to take a sample of 62 to achieve this result.
Step-by-step explanation:
Confidence level of 95%.
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].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
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.
Assume that the standard deviation in the amount of caffeine in 8 ounces of decaf coffee is known to be 2 mg.
This means that [tex]\sigma = 2[/tex]
If we wanted to estimate the true mean amount of caffeine in 8 ounce cups of decaf coffee to within /- 0.5 mg, how large a sample would we have to take to achieve this result?
We would need a sample of n.
n is found when [tex]M = 0.5[/tex]. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.5 = 1.96\frac{2}{\sqrt{n}}[/tex]
[tex]0.5\sqrt{n} = 2*1.96[/tex]
Dividing both sides by 0.5
[tex]\sqrt{n} = 4*1.96[/tex]
[tex](\sqrt{n})^2 = (4*1.96)^2[/tex]
[tex]n = 61.5[/tex]
Rounding up
We would have to take a sample of 62 to achieve this result.
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)
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
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
Subtract -5x²+10x-1from6x²-x+3
Answer:
it would be -11x^2+11x-4
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.
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
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:
What is the measure of angle ABC
Answer:
A
Step-by-step explanation:
Which expression is equivalent to ? Assume
[(2x³y⁴)² × 2x]½
(2x³y⁴)½ ×(2x)½
2x³y⁴(2x)½
Using order of operations how would you solve (3+4)-9 with an equation!!
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
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
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:
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)
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.
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 :) !!
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
Find the value of x in the triangle shown below.
a. x=21
b. x=42
c. x= 15
d. x=21
HELPPPPPPPPPPPP BRAINLY
Answer:
C
Step-by-step explanation:
7. What is the volume of the rectangular prism?
4.8 mm
6.4 mm
14.2 mm
Can anyone please help??
Answers:
6 pints = 12 cups
16 pints = 8 quarts
8 fluid ounces = 1 cup
8 pints = 1 gallon
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.
Omar wants to use a graph to solve the equation below.
log Subscript 6 Baseline x = log Subscript 2 Baseline (x + 4)
Which system of equations should Omar use?
Person above is wrong, the answer is D on Edge.
D. y1 = log x/log 6, y2 = log (x + 4)/log 2
Answer:
its D on edge 2021
Step-by-step explanation:
i took the test
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
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 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.?
What is the period of the following periodic function? to 3 decimal places
y= .5csc(x+9)-6
Pls help I will give Brainliest
Answer:
C. 26 + 4x = 46