Answer:
1666.70
Step-by-step explanation: 10,000/6=1666.70
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]
A rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'. What is the geometric probability that a model rocket falling randomly on the pad will land in the target?
Answer:
9.6%
Step-by-step explanation:
The probability that a model rocket falling randomly on the pad will land in the target is 9.6% if the rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have a rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'.
To get the geometric probability, we must find the area of the rectangle.
Total outcomes = 20' × 25' = 500'
Total favourable outcomes = 6' × 8' = 48'
Probability = 48/500 = 0.096
= 0.096×100 = 9.6%
Thus, the probability that a model rocket falling randomly on the pad will land in the target is 9.6% if the rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'.
Learn more about the probability here:
brainly.com/question/11234923
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You are testing two food scales for accuracy by weighing two different types of foods. Use the drop-down menus to complete the statements about the scales' accuracy. Scale 1 Measured Weight Actual Weight 85 oz 100 oz Scale 2 Measured Weight Actual Weight 47 oz 50 oz CLEAR CHECK Because the object on Scale 1 weighs more than the object on Scale 2, each ounce of error results in a lesser percent error. Scale 1 was 15 ounces off and Scale 2 was 3 ounces off, so Scale 1 was % off and Scale 2 was % off.
Answer:
scale 1 was 15% off and SCALE 2 was 6% off
Step-by-step explanation:
Scale __ Measured Weight ____Actual Weight
1_________85 oz _______________100 oz
2 ________ 47 oz _______________ 50 oz
Percentage error :
[(|measured - actual |) ÷ actual] * 100%
Scale 1 :
|85 - 100| = 15 oz
15 / 100 * 100% = 15%
Scale 2 :
|47 - 50| = 3 oz
3 / 50 * 100% = 0.06 * 100% = 6%
Hence, scale 1 was 15% off while SCALE 2 was 6%
What is the slope of the line containing the points (-4,-6) and (3,-4)
Answer:
got you right now
Step-by-step explanation:
the slope is -2\3
Ann's car can go 204 miles on 6 gallons of gas. During a drive last weekend, Ann used 7 gallons of gas. How far did she drive? Use pencil and paper. Explain how the problem changes if you were given the distance Ann drove last weekend instead of how much gas she used.
Given :
Writing lan's car can go 204 miles on 6 gallons of gas.
During a drive last weekend, lan used
7 gallons of gas.
To find :-
How far did he drive?
Solution :-
According to Question ,
Car can go 204 mi on 6 gallons of gas.
Using Unitary Method ,
On 1 gallon of gas it will go 204/6 mi
On 7 , it will go 204/6*7 =238 miles
Hence the required answer is 238 miles.
On one day a pet store sells 2 birds 6 gerbils 3 fish and 3 hamsters whats the data and relative frequency as a percent?
Answer:
Birds [tex]F_b=14.3\%[/tex]
Gerbils [tex]F_g=42.9\%[/tex]
Fish [tex]F_f=21.4\%[/tex]
Hamsters [tex]F_h=21.4\%[/tex]
Step-by-step explanation:
From the question we are told that:
Sales
Number of birds [tex]n_b=2[/tex]
Number of gerbils [tex]n_g=6[/tex]
Number of fish [tex]n_f=3[/tex]
Number of hamsters [tex]n_h=3[/tex]
Generally the frequency for birds [tex]F_b[/tex] is mathematically given b
[tex]F_b=\frac{n_b}{n}*100[/tex]
[tex]F_b=\frac{2}{14}*100[/tex]
[tex]F_b=14.3\%[/tex]
Generally the frequency for Gerbils [tex]F_g[/tex] is mathematically given b
[tex]F_g=\frac{n_g}{n}*100[/tex]
[tex]F_g=\frac{6}{14}*100[/tex]
[tex]F_g=42.9\%[/tex]
Generally the frequency for fish [tex]F_f[/tex] is mathematically given b
[tex]F_f=\frac{n_f}{n}*100[/tex]
[tex]F_f=\frac{3}{14}*100[/tex]
[tex]F_f=21.4\%[/tex]
Generally the frequency for fish [tex]F_h[/tex] is mathematically given b
[tex]F_h=\frac{n_h}{n}*100[/tex]
[tex]F_h=\frac{3}{14}*100[/tex]
[tex]F_h=21.4\%[/tex]
Please help with question please please
Answer:
B. 55+70<750
Step-by-step explanation:
Molly earns $6 for each hour she babysits plus $10 to cover any personal
expenses. Suzie earns $4 for each hour she babysits plus $24 to cover
personal expenses. At a certain point, Molly and Suzie will work the same
number of hours and earn the same amount of money. At this point, how
much money will each girl earn?
A.$34
B.$44
C.$52
D.$62
Answer:
44
Step-by-step explanation:
Answer:
The answer is C or 52!!
Step-by-step explanation:
Brainliest Please!
twenty and thirty-six thousandths in standards form
Answer:
twenty and thirty-six thousandths in standards form is 20.036
Answer:
20.006
Step-by-step explanation:
I think this is what you need but not a lot of info. sorry if it's not
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:
One clay brick weighs 5.4 pounds. The brick is 4 inches long and 2 1/ 4 inches wide. If the clay weighs 0.02 pounds per cubic inch, what is the volume of the brick? Round your answer to the nearest integer.
Answer:
270 cubic inches
Step-by-step explanation:
Given :
Mass of the clay brick = 5.4 pounds
Density = 0.02 pounds per cubic inch
Length of the brick = 4 inch
Width = [tex]$2\frac{1}{4}$[/tex] inch
We know, density = mass / volume
Or Volume = mass / density
= 5.4 / 0.02
= 270 cubic inches
Therefore, the volume of the brick is 270 cubic inches.
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
PLEASE help plssss no links and silly answers
Answer:
(H)
Step-by-step explanation:
Less than signs are <
Greater than signs are >
Since in this case x is the number
7 has to be less than x which is x<7
Answer:
f
Step-by-step explanation:
Solve the equation. 12x+3=51
[tex]12x + 3 = 51 \\ 12x = 48 \\ x = 4[/tex]
Answer:
= 4
Step-by-step explanation:
1 2 + 3 = 5 1
1 2 + 3 -3 = 5 1 − 3
i hope this helps<3
:)
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.
Create and solve a 2 step equation where x = -3
Answer:
Equation:
x + 2 = -1
x = -1 - 2
x = 3
Solve for x.
A) 4
C) 1
B) 10
D) 12
Answer:
A) 4
Step-by-step explanation:
3*4 = 12
1+12=13
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 )
i need step by step answers
Convert the equation to Standard Form.
y=2(x+1)^(2) −4
Answer:
(-8x2-16x-8)
Step-by-step explanation:
y= (2x + 2)^2 (2 - 4)
y= (2x + 2)(2x + 2)(2 - 4)
y= −82−16−8
solve for X
7x=49 (brainliest)
Answer:
7
Step-by-step explanation:
divide 7 to both side
7x/7=49/7
x=7
prime factorization of 154
Answer:
The prime factors of 154 are 2, 7, 11.
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
[tex]154 = 2 \times 7 \times 11[/tex]
What is the surface area of the rectangular pyramid
Answer:
88.8 cm square
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
A mother bear and her cub catch fish from a river . The mother bear catch 10 fish the mother bear catch 5 times as many
Answer:
This doesn't make sense.
Step-by-step explanation:
If the question was "A mother bear and her cub catch fish from a river. The cub catches 10 fish and the mother bear catches 5 times as many as the cub. How many fish did the cub catch?" then the answer would be, The mother bear caught 50 fish.
This is because if the cub caught 10, and the mother caught 5 times that amount, the mother caught 5 x 10 fish. 5 x 10 = 50.
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.
Which of these is a trinomial?
A. 2x^3 – 7y^3
В. 5xy
C. 2x - 7
D. x + 2y^2-7
Answer:
D. x + 2y² - 7
Step-by-step explanation:
it because it has 3 terms
1/8 plus 1/4 equals.
Answer:
3/8
Step-by-step explanation
Please just use a calculator
Answer:
0.375
Step-by-step explanation:
Solve 24=3r4. The solution is r=
what is the answer for this?
i tried 2 and it says wrong
Answer:
r=1.681793,−1.681793
Step-by-step explanation:
i will mark brainliest if you’re correct!!!
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
Triangle ABC is similar to DEF. Which proportion can be used to find the length of DE in centimeters?
Answer:
[tex]\frac{DE}{4} = \frac{9}{3}[/tex]
[tex]DE = 12[/tex]
Step-by-step explanation:
Given
See attachment for triangles ABC and DEF
Required
The proportion to find DE
To solve for DE, we can make use of the following equivalent ratios;
[tex]AB:DE = BC:EF[/tex]
Substitute values for AB, BC and EF
[tex]4:DE = 3:9[/tex]
Express as fractions
[tex]\frac{DE}{4} = \frac{9}{3}[/tex]
The above is the proportion to solve for DE
Solving further:
[tex]\frac{DE}{4} = 3[/tex]
[tex]DE = 4 * 3[/tex]
[tex]DE = 12[/tex]