Answer:
If the radius is 6mm, the diameter is 12mm.
If the diameter is 22 ft, the radius is 11 ft.
Step-by-step explanation:
1st one) When you try to find the diameter of any circle, and you already have the radius, you need to multiply it by two (double it)
6 x 2 = 12mm
2nd one) Then to do the opposite, you need to divide the diameter by 2.
22/2 = 11 ft
Hope this helped :)
A researcher wished to compare the effect of two stepping heights (low and high) on heart rate in a step-aerobics workout. A collection of 50 adult volunteers was randomly divided into two groups of 25 subjects each. Group 1 did a standard step-aerobics workout at the low height. The mean heart rate at the end of the workout for the subjects in Group 1 was = 90.00 beats per minute with a standard deviation of = 9 beats per minute. Group 2 did the same workout but at the high step height. The mean heart rate at the end of the workout for the subjects in Group 2 was = 95.08 beats per minute with a standard deviation of = 12 beats per minute. Assume that two groups are independent and the data are approximately Normal. Let and represent the mean heart rates we would observe for the entire population represented by the volunteers, if all members of this population did the workout using the low or high step height, respectively. Suppose the researcher had wished to test the hypotheses and . The P-value for the test is (use conservative value for the degrees of freedom)
Answer:
The answer is "between 0.10 and 0.05".
Step-by-step explanation:
For sample 1:
[tex]n_1 = 25\\\\\bar{x_1} = 90.00\\\\ s_1 = 9\\\\[/tex]
For sample 2:
[tex]n_2 = 25\\\\ \bar{x_2} = 95.08\\\\ S_2 = 12\\\\[/tex]
Calculating the null and alternative hypotheses:
[tex]H_O : \mu_1 = \mu_2 \\\\ H_Q : \mu_1 <\mu_2[/tex]
Calculating the test statistic:
[tex]Z= \frac{90-95.08}{ \sqrt{\frac{9^2}{25}+\frac{12^2}{25}}} \\\\ =\frac{-5.08}{ \sqrt{\frac{81}{25}+\frac{144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{81+144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{225}{25}}}\\\\=\frac{-5.08}{ \frac{15}{5}}\\\\=\frac{-5.08}{3}\\\\= -1.693[/tex]
Calculating the conservative degrees of freedom:
[tex]DF = min (n_1 -1, n_2 - 1) = min(25-1, 25-1) = 24[/tex]
by using Excel the p-value for left tailed test and for test statistic will be [tex]-1.693[/tex] with [tex]DF = 24[/tex].
[tex]\to p-value = TDIST(1.693, 24, 1) = 0.0517\ \ \ \ i.e, \bold{0.05 < p-value < 0.10}[/tex]
why is the petrol price cheaper at coastal than inland
Answer: If a litre of fuel at the coast (95 octane) costs R13,89, then 38% is tax. The difference between inland and coastal fuel prices is mainly due to transport costs of the fuel from depots at the coat to inland outlets.
2 + 1.25f = 10 - 2.75f
Answer:
F=2
Step-by-step explanation:
1.25f+2.75f=10-2
calculate like terms
4f=8
divide
F=2
A water bottle company is designing a new larger cylindrical water bottle that is intended to hold 4 times as much water as the original cylindrical water
bottle. Which of the following methods would work to create the larger water bottle with the intended volume?
1. Double the radius of the original water bottle. Keep the height the same.
II. Double the height of the original water bottle. Keep the radius the same.
III. Double the height and double the radius of the original water bottle
IV. Quadruple the height of the original water bottle. Keep the radius the same
o I and IV
O I and 11
O I, II, III, and IV
O III and IV
Answer:
option 3, double the height and with of original bottle
The methods which will create the larger water bottle with the intended volume is 1 and IV.
What is Volume?Volume of a three dimensional shape is the space occupied by the shape.
Given that,
A water bottle company is designing a new larger cylindrical water bottle that is intended to hold 4 times as much water as the original cylindrical water bottle.
Volume of a cylindrical shape = π r² h
Let V be the original volume.
If radius is doubled, then the new volume is,
V' = π (2r)² h = 4(π r² h) = 4V
So 1 is an option.
When the height is Quadrupled,
V' = π r² 4h = 4(π r² h) = 4V
Hence the correct options are 1 and IV.
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Find the measure of the angle indicated
72⁰
HOPE IT HELPS YOU THANK YOU ☺
Answer:
37 degree
Step-by-step explanation:
RQS is suspened by arcRS
RQS=1/2(RS)
RQS=1/2(74)
RQS=37
Ashleys Shoe Store buys shoes for $35 and then sells them for
$85.
What is the percent of increase on the price of the shoes?
Round to the nearest whole number
When looking for a job micah is told that the monthly salary has a range of 876 he also knows that the starting salary is 1,793 per month what is the maximum amount of money that micah can earn in this position?
Answer:
2669
Step-by-step explanation:
Given that :
Salary range = 876
Starting salary = 1793 monthly
The starting salary represents the minimum amount Micah can earn monthly
Therefore, the amount of money much can earn can be calculated thus :
Recall :
Range = maximum - minimum
876 = maximum - 1793
876 + 1793 = maximum
Maximum = 2669
Hence, the maximum salary Micha can earn is 2669 monthly
What is the surface area of the rectangular pyramid
Answer:
88.8 cm square
Step-by-step explanation:
The angle of a triangle is 44°, 44°, and x°. What is the value of x°?
HLEP PLEASE PUT THEM IN THE CORRECT ORDER TRUE OR FALSE
Answer:
1. False
2. True
3. True
Step-by-step explanation:
I need help!! Bill will spend at most $29 on gifts. So far, he has spent $13. What are the possible additional amounts he will spend? 
Answer:
$ is less than or equal to $16
Step-by-step explanation:
sam deposits 10000 into a savings account that earns 4.25% interest compounded annually. What will be the total amount in the account
Answer:
With the compound interest calculator, you can accurately predict how profitable ... The total compound interest is $3,926.8. ... Note that in the case where you make a deposit into a bank (e.g., put money in your savings account), you have, ... You invest $10,000 for 10 years at the annual interest rate of 5%.
Step-by-step explanation:
Find the area of the figure round to the nearest tenth
Answer:
180 m
Step-by-step explanation:
PLEASE HELP. ANYONE.
The amount of fence Farmer Thomas needs around her vegetable garden can be modeled by the formula:
V = 8w + 3l
where V = the perimeter of the vegetable garden; w = the width; l = the length
Which formula best represents l in terms of w and V ?
A- l=v-8w-3
B- l=3v-8w
C- l=v-8w/3
D- l=v-8w+3
Kimberly wants to enlarge hut 5‘ x 10‘ rectangular patio by multiplying its dimensions by two how old the area of the patio be affected
Answer:
1/4 the new area
Step-by-step explanation:
Kimberly wants to enlarge hut 5‘ x 10‘ rectangular patio by multiplying its dimensions by two how old the area of the patio be affected
Given that:
Initial dimension of patio = 5' by 10'
Initial area of patio = Area of rectangle = Length * width
Area of patio = 5 * 10 = 50 in²
If dimension is multiplied by 2
New dimension :
5* 2 by 10*2 = 10' by 20'
New area of patio :
10 * 20 = 200 in²
50 /200 = 1/4
The old area will be 1/4 the size of the new area of the patio
A number x is rounded to 1 decimal place and its 3.7
write down the error interval for x
The error interval for x would be (3.65, 3.75), indicating that the true value of x lies within this range.
Given that a number x is rounded to 1 decimal place and its 3.7.
We need to find the error of the interval for x,
To determine the error interval for the rounded number 3.7, we need to consider the possible range of values that could have been rounded to 3.7 when rounded to 1 decimal place.
When rounding to 1 decimal place, we look at the digit immediately to the right of the decimal point. If this digit is 5 or greater, we round up. If it is less than 5, we round down.
In this case, 3.7 is the rounded value, which means the original number could have been rounded up from a value greater than or equal to 3.65 or rounded down from a value less than 3.75.
Therefore, the error interval for x would be (3.65, 3.75).
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HELP ILL GIVE U THE BRAINLIEST
Answer:
(0, 3 )
Step-by-step explanation:
To find the y- intercept , substitute x = 0 into f(x), that is
f(0) = 3 × [tex]4^{0}[/tex] [ note [tex]4^{0}[/tex] = 1 ]
= 3 × 1
= 3
y- intercept = (0, 3 )
Hmmmmmskksksksksksjsjsjdj
Answer:
Hmmm
Step-by-step explanation:
What is the value of the flowers?
Answer:
24
Step-by-step explanation:
6*6=36
6+10=16
2*10=20
Flower=10-6+20=24
Which triangle is NLM congruent to? Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
XYZ
Step-by-step explanation:
due to the angles being equivalent to eachother(NL angles being equal to XZ). The M and Y are equal to eachother.
Point B has coordinates (4,1). The x-coordinate of point A is -4. The distance between point A and point B is 10 units. What are the possible coordinates of point A?
Given:
Point B has coordinates (4,1).
The x-coordinate of point A is -4.
The distance between point A and point B is 10 units.
To find:
The possible coordinates of point A.
Solution:
Let the y-coordinate of point A be y. Then the two points are A(-4,y) and B(4,1).
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The distance between point A and point B is 10 units.
[tex]\sqrt{(4-(-4))^2+(1-y)^2}=10[/tex]
Taking square on both sides, we get
[tex](8)^2+(1-y)^2=100[/tex]
[tex](1-y)^2=100-64[/tex]
[tex](1-y)^2=36[/tex]
Taking square root on both sides, we get
[tex](1-y)=\pm \sqrt{36}[/tex]
[tex]-y=\pm 6-1[/tex]
[tex]y=1\mp 6[/tex]
[tex]y=1-6[/tex] and [tex]y=1+6[/tex]
[tex]y=-5[/tex] and [tex]y=7[/tex]
Therefore, the possible coordinates of point A are either (-4,-5) or (-4,7).
A line that includes the point (2,7) has a slope of
–
8. What is its equation in point-slope form?
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
Answer:
y - 7 = -8(x-2)
Step-by-step explanation:
The point slope form is: y-y1=m(x-x1)
From the information that was given, we know our two points: (2,7)
From here, we can fill in some of the missing information: y-y1=m(x-x1) → y - 7 = m(x-2)
Now I can't tell if you wrote down -8 or just 8, but just in case my answer isn't the right number.
The answer would either be: y - 7 = -8(x-2) [if you wrote down -8 as the slope]
OR
The answer would be: y - 7 = 8(x-2) [if you wrote down 8 as the slope]
Use the distance formula to find the distance between each pair of points. round to the nearest tenth of neccessary.
Answer:
1). 4.2 2). 7.65 3). 14.14
Step-by-step explanation:
1). √(y2 - y1)² + (x2 - x1)²
√[-1 - (-4)]² + [-3 - (-6)]²
√(3)² + (3)²
√9 + 9
√18
= 4.2
2). √(2.5 - 1)² + ( -4 - 3.5)²
√(1.5)² + (-7.5)²
√(2.25) + (56.25)
√58.5
= 7.65
3).√(5 - (-5)² + (-5-5)²
√(10)² + (-10)²
√(100) + (100)
√200
= 14.14
HELP HELP ASAP ASAP WILL MARK BRAINLIEST
PLEASE EASY POINTS
Answer:
Step-by-step explanation:
you need more information to be able to answer the question. Is there any other information they gave you?
i think you are right maybe but this is helpful sorry!
How much water will a cone hold that has a diameter of 6 inches and height of 21 inches. Use 3.15 pie and round your answer to the nearest whole number
Answer:
volume = 595 in³
Step-by-step explanation:
radius = 6/2 = 3
volume = 3.15(3²)(21) = 595.35 in³
Whoever helps me will have a good day and maybe get kissed by your crush
Answer:
16
Step-by-step explanation:
i totally forgot how to write the equation so i did it the long way and i got with 16 shovels of dirt you get 100 pounds
If a farmer sells 9.8 KL of apples and pears at the farmers market. 4/5 of this weight is apples,and the rest are pears. How many kl of pears did they sell the farmers market
Answer:
1.96
Step-by-step explanation:
A farmer sells 9.8 kl of apples and pears
4/5 of this weight is apples, while the rest are pears
Therefore the wight of pears can be calculated as follows
Let x represent the weight of pears
9.8= 4/5×9.8 + x
9.8= 0.8×9.8+x
9.8= 7.84+x
9.8-7.84= x
x= 1.96
When the product of 6 and the square of a number is increased by 5 times the number, the result is 4. Select all of the values that the number could be.
Answer:
(1/2,0) is one solution
(-4/3,0) is the other solution.
Step-by-step explanation:
i hope this helps you it might not be right
There are fewer than 3 gallons of gas in the tank. Use as your variable.
The inequality is
>3. its less than 3 because it is
(7a-1)^2 please help me quickly
Answer:
14a-2
Step-by-step explanation:
