50. 150 divided by 3
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]
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Find the slope of the yellow cab. Use the point (4,7), and coordinate for the y-intercept, to find the slope.
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'.
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Please help with question please please
Answer:
B. 55+70<750
Step-by-step explanation:
In the triangle below, what is the measure of R?
8
8
309
P
A. 60°
B. 30°
C. 90°
D. 45°
Answer:
∠R = 30°
Step-by-step explanation:
Because QP = QR, it is an isosceles triangle. So ∠R = ∠P
Answer:
B. 30°
Step-by-step explanation:
Side QP and QR are equal which makes the angles equal as well
I need help finding the slope
Answer:
0.75
Step-by-step explanation:
-3-1.5/-4-2
-4.5/-4-2
-4.5/-6
0.75
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
Create and solve a 2 step equation where x = -3
Answer:
Equation:
x + 2 = -1
x = -1 - 2
x = 3
HLEP PLEASE PUT THEM IN THE CORRECT ORDER TRUE OR FALSE
Answer:
1. False
2. True
3. True
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
:)
Robin, Ashley, Joy, and Christina collected 156 acorns to make fall decorations. Robin collected three times as many acorns as Ashley.Christina
has 12 more acorns than Robin. Ashley and Joy collected the same number of acorns.
How many acorns did Ashley collect?
PLEASE HELP
Answer:12
Step-by-step explanation:
No links!!! Math help. Urgent
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]
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:
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!
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:
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
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
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.
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
If each square in the following floor plan represents 2.5 feet, what are the dimensions of the living room?
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
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 )
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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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
Cheryl painted her living room walls with two different colors. She painted part of the room yellow and another part green. If the surface area of the walls in her room is 720 ft2 and she painted 288 ft2 yellow, what percent of the room did she paint green?
Answer:
Total percent of the room did she paint green = 60%
Step-by-step explanation:
Given - Cheryl painted her living room walls with two different colors. She painted part of the room yellow and another part green. If the surface area of the walls in her room is 720 ft² and she painted 288 ft² yellow.
To find - What percent of the room did she paint green ?
Proof -
Given that,
The surface area of the walls in her room = 720 ft²
Total area painted in yellow color = 288 ft²
So,
Total area painted in green color would be = 720 - 288 = 432 ft²
Now,
Let the total percent green color painted = x
So,
720 × x% = 432
⇒[tex]720*\frac{x}{100} = 432[/tex]
⇒ x = [tex]\frac{432*100}{720}[/tex] = 60
∴ we get
Total percent of the room did she paint green = 60%
solve for X
7x=49 (brainliest)
Answer:
7
Step-by-step explanation:
divide 7 to both side
7x/7=49/7
x=7
Find the factor pairs for 12 1 and 12 2 and 6 3 and 4 the factors of 12 are 1,2,3,4,6,and 12
Answer:12 = 12.
x 6 = 12.
x 4 = 12.
x 3=12
Step-by-step explanation:
What is the surface area of the rectangular pyramid
Answer:
88.8 cm square
Step-by-step explanation:
