Answer:
H0: mu = 120 , Ha: : mu not equal to 120
The p-value is greater than or equal to 0.10
z= -1.636
Since the calculated value of z does not fall in the critical region H0 is not rejected.
Step-by-step explanation:
State the null and alternate hypothesis
H0: mu = 120
average braking distance for a small car traveling at 65 miles per hour equals 120 feet.
against the claim
Ha: : mu not equal to 120
average braking distance for a small car traveling at 65 miles per hour does not equal 120 feet.
The p-value equals 0.101764 which is greater than 0.01 and thus supports H0.
The p-value is greater than or equal to 0.10
The test statistic z is applied
Here
Sample Mean x~ = 114
Population mean μ =120
Sample size n= 36
Population SD =σ= 22
Z= u- μ/σ√n
Z= 114- 120/ 22/ √36
z= -1.636
This is a two tailed test and the critical region for two tailed test at alpha = 0.01 is z ∝/2= ± 2.58
Since the calculated value of z does not fall in the critical region H0 is not rejected.
A patient has been instructed to drink a gallon of water each day. How many cups does the patient
need to drink?
Thank
Answer:
16 cups a day
Step-by-step explanation:
The product of the square of a number and 8. Let the unknown number equal five. plz i need the answer
Answer:
200
Step-by-step explanation:
If you multiply 8 by the number 5's square, 25, you get 200
What is the midpoint of the line with endpoints (3,-2) and (-3,6)
(0, 2)
Step-by-step explanation:
The coordinates of the midpoint of a line segment is given by
[(x2 + x1)/2 , (y2 + y1)/2]
Let P1 = (3, -2) and P2 = (-3, 6)
x-coordinate:
(1/2)(x2 + x1) = (1/2)[(-3) + 3] = 0
y-coordinate:
(1/2)(y2 + y1) = (1/2)[6 + (-2)] = 2
Therefore, the coordinates of the midpoint whose endpoints are (3, -2) and (-3, 6) are
(0, 2)
40 PTS ! The length of the rectangle is 2 ft more than its width. The area of the rectangle is 80 square feet. Find the width of the rectangle.
Answer:
The length of a rectangle is 2 feet more than it's width. How do you find the dimensions of the rectangle if its area is 63 square feet?
Step-by-step explanation:
x(x+2) = 63
x^2 + 2x = 63
x^2 + 2x - 63 = 0
Quadratic formula with numbers plugged in: (-2 +or- sqrt(4 - 4* 1 * -63))/2 becomes
-2 +or- sqrt(256)/2 so (-2 +or- 16)/2 therefore -18/2 or 14/2. Discard negative result.
x = 7. 63/7=9. Sides are 7ft and 9ft.
Answer:
8 ftStep-by-step explanation:
Given
The length l = w + 2The area lw = 80Substitute l and solve the following for w:
w(w + 2) = 80w² + 2w = 81w² + 2w + 1 = 81(w + 1)² = 9²w + 1 = 9w = 8The width is 8 ft
Which expression is equivalent to -51 - (-60)?
Choose 1 answer:
А
-60 +(-51)
В.
-51 +60
51 - 60
60 + 51
2 of 4
18
The measures tanker are shown
12 inches
10 inches
8 inches
Enter the come of the coolerin cubie inches
Answer:
78
Step-by-step explanation:
Jake throws a dart that hits the square shown below:
A square is drawn. A circle of radius 8 units touches the sides of the square.
What is the probability that the dart hits a point in the circle?
(1) 16%
(2) 21.5%
(3) 64%
(4) 78.5%
A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 30 feet more than the length of the shortest side. Find
the dimensions if the perimeter is 198 feet.
What is the length of the shortest side?
The length of the shortest side is
Answer:
The three sides are 36 f t , 72 f t and 59 f t .
Step-by-step explanation:
Let the length of the shortest side of the triangular flower bed be x feet.
Then the length of the second side is 2x and
the length of the third side is x + 23
The given perimeter is 167 f t hence:
x+2x+x+23=167
4x+23=167
4x=167-23
4 x = 144
x = 144 /4 = 36
2 x = 2 ⋅ 36 = 72
x +23 = 36 + 23 = 59
The length of the three sides of the triangular flower bed are 36 f t , 72 f t and 59 f t .
The Sine Function
A sine curve is periodic. What does this mean?
a. the curve goes through one cycle and starts over
b. there is no pattern
c. the amplitude stays the same
d. one period equals 180 degrees
Please select the best answer from choices provided
Answer:
A. The curve goes through one cycle and starts over
Step-by-step explanation:
I calculated it logically
1. Sandra is trying to determine the height of a light pole at the corner of the block on
which she lives. The shadow cast by the light pole is 5 feet.
If the angle of elevation from the sidewalk to the top of the light pole is represented
as e, which equation could be used to find the height of the light pole?
Answer:
h = 5(tane)
Step-by-step explanation:
The diagrammatic representation of the question given is attached below ;
The height of the light pole, h = opposite side
Adjacent side = 5 feets
Angle of elevation = e
Using trigonometry ;
Tan e = opposite / Adjacent
Tan e = h / 5
Making h the subject ;
h = 5(tane)
Right Triangles
Solve the right triangle shown in the figure
BC = 2.7cm, AC = 1.1cm, ∠C = 90°
a. ∠A = 68°, ∠B = 22°. AB = 2.9cm
b. ∠A = 22°, ∠B = 68°, AB = 2.9cm
c. ∠A = 63°, ∠B = 27°, AB = 2.9cm
d. ∠A = 24°, ∠B = 66°, AB 3.8cm
Please select the best answer from choices provided
Answer:
A. ∠A = 68°, ∠B = 22°, AB = 2.9cm
Step-by-step explanation:
I calculated it logically
A rose garden is formed by folning a rectangle and a semicircle, as shown below. The rectangle is 21 ft long and 17 ft wide. If the gardener wants to build a
fence around the garden, how many feet of fence are required? (Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in
your answer.)
Answer:
76 ft of fence is required.
Step-by-step explanation:
21 ft + 17 ft + 21 ft + 17 ft = 76 ft
Pls help
Zzzzzzzzzzzzzzzzzzzzzzzz
Answer:
d po yung answer
Step-by-step explanation:
sana makatulong
What is the exponential regression equation for the data set?
yˆ=1.08⋅32.11x
yˆ=(1.08⋅32.11)x
yˆ=32.11⋅0.08x
yˆ=32.11⋅1.08x
Answer:
yˆ=32.11⋅1.08x
Step-by-step explanation:
just took the test
Option: A is the correct answer.
The quadratic regression equation for the data set is:
A. y = 0.056x²+1.278x-0.886
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
We are given a set of data value as:
x y
3 3.45
5 6.9
6 8.79
8 12.91
10 17.48
12 22.49
15 30.85
On plotting these points on a scatter plot we see that the line that best fits these data points is a parabola i.e. the equation is a equation of a quadratic function.
The equation of the line of best fit is:
y = 0.056x²+1.278x-0.886
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simplify 1/3 : 2.5 : 3 3/4
Answer:
1/3x3 3/4 /2.5 = 0.3
What is the sales tax for a purchase of $20 if the tax rate is 10 percent?
Answer:
2
Step-by-step explanation:
If you multiply it by 0.10 that is 10 percent and you get 22 which is 2 more than 20
Answer:
Before Tax Price: $20.00
Sale Tax: 10.00% or $2.00
After Tax Price: $22.00
Step-by-step explanation:
Order from greatest to least: 12, -4,8, -3, 0.
Answer:
-4,-3,0,8,12 its backwards my bad
Step-by-step explanation:
because it is
Answer:
12, 8, 0, -3, -4
hope it helps
NO LINKS. Find the measure of the angle or arc indicated. Part 2
9514 1404 393
Answer:
14. C) 136°
15. C) 40°
Step-by-step explanation:
Inscribed angles are half the measure of the arc they intercept. For an inscribed quadrilateral, this means opposite angles are supplementary.
__
14) ∠H +∠W = 180°
34x +55x +2 = 180
89x = 178 . . . . . . . . . subtract 2
x = 2 . . . . . . . . . . . . . divide by 89
arc VX = 2(34x) = 68(2) = 136 . . . degrees
__
15) The sum of angles in the triangle is 180°.
? + 80° + (120°/2) = 180°
? = 40° . . . . . . . . . . subtract 140°
Answer:
Solution given:
14.
34x+55x+2=180°[sum of opposite angle of a cyclic quadrilateral is supplementary]
89x=180°-2
x=178/89
x=2°
now
m arc VX=2× <H[ central angle is twice the inscribed angle standing on a same base]
m arc VX=2(34×2)=136°
Option C.
15.
Solution given:
<B=80°
<C=½ arc AB[central angle is twice the inscribed angle standing on a same base]
<C=½×120°=60°
we have
<A+<B+<C=180°[ sum of interior angle of a triangle is 180 ]
<A=180-80°-60°
<A=40°
option C.
Solve for p.
p + 36 = 73
p =
Answer:
p=37
Step-by-step explanation:
to get p by its self, you would do:
p+36=73
-36=-36
p=37
Answer:
37
Step-by-step explanation:
If a =5 and b=3 what is the value of the 2a-3b+3a
Answer:
If a = 5 and b = 3, then that means 2a - 3b + 3a = 16
Step-by-step explanation:
2a - 3b + 3a
(2×5) - (3×3) + (3×5)
10 - 9 + 15 = 16
A town is trying to determine if a new recycelin incentive would increase the number of people thatseperate their garbage from recycable iems. to make this determination a simple random sample of 10 streets and the number of people that recycle on these streets is countedonce before and once after the recycling incentive has been intitated. the date shows a mean difference of3.78 and a standard deviation of 1.33.
Required:
Determie if the recycling incentive was effectiive with a 5% significnc level.
Answer:
The recycling incentive was effective at 5% significance level.
Step-by-step explanation:
The null and alternative hypothesis are
H0 u1≤ u2 against the claim Ha: u1> u2
or
H0 ud=0 against the claim Ha: ud > 0
The significance level is ∝=0.05
Data given
d`= 3.78
sd= 1.33
n= 10
The test statistic is
t= d`/ sd/ √n
t= 3.78/1.33/√10
t= 9.3889
The critical region for ∝=0.05 and df.= (n-1)= 9 is t> 1.833
Since the calculated value of t lies in the critical region it is concluded that new recycling incentive would increase the number of people that seperate their garbage from recyclable items.
H0 is rejected and Ha is accepted.
Solve the equation
6.2=2.2+x
X=
What is the value of the discriminant, b^2-4ac, for the quadratic equation 0=x^2-4x+5, and what does it mean about the number of real solutions the equation has?
I want to know how to do 11/13+44/39
Answer:
I'm pretty sure that the answer is 1.97
[tex] \frac{11}{13} + \frac{44}{39} [/tex]
11/13 ×3
11×3=33
13×3=39
11/13=33/39
33/39+44/39
= 77/39
77÷39
=
[tex]1 \frac{38}{39} [/tex]
PLEASE HELP MEEEEEE!!!
Answer:
100
Step-by-step explanation:
Neesha uploaded a funny video of her dog onto a website. The relationship between the elapsed
time, d, in days, since the video was first uploaded, and the total number of views V (d), that the
video received is modeled by the function V (d) = 31.5d.
How many views will the video receive after 5 days? Round your answer to the nearest whole
number.
Answer:
the answer is 2
Step-by-step explanation:
TULI
Spinner A
Spinner
025
05
Tim has two spinners, spinner A and Spinner B.
Each spinner can only land on red or bloe.
The probability that spinner A will land on red is 0.5
The probability that spinner will land on red is 0.6
The tree diagram shows this information
Tim spins spinner A once and he
spins spinner Bonce
He does this a number of times.
The number of times both spinners 0.5
land on red is 84.
Work out an estimate for the
number of times both spinners land on blue.
red
05
blu
blue
So we would expect both spinners to land on blue once, approximately.
What is probability?Probability is a measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain to occur. The closer the probability is to 1, the more likely the event is to occur, while the closer it is to 0, the less likely it is to occur.
Here,
To solve this problem, we can use the multiplication rule of probability, which states that the probability of two independent events A and B occurring together is equal to the product of their individual probabilities:
P(A and B) = P(A) × P(B)
In this case, we want to find the number of times both spinners land on blue, which is equivalent to the probability that spinner A lands on blue (0.5) multiplied by the probability that spinner B lands on blue (0.4), because the events are assumed to be independent. Therefore:
P(both blue) = P(A blue) × P(B blue) = 0.5 × 0.4 = 0.2
This means that the probability of both spinners landing on blue is 0.2, or 20%.
To estimate the number of times both spinners land on blue out of a certain number of trials, we can use the expected value of a binomial distribution, which is given by:
E(X) = n × p
where X is the random variable representing the number of successes (in this case, both spinners landing on blue), n is the number of trials, and p is the probability of success (0.2 in this case).
We are given that the number of times both spinners land on red is 84, which is equivalent to the number of trials minus the number of times both spinners land on blue. Let's denote the number of trials as n. Then we have:
n - 84 = number of times both spinners land on blue
Substituting the values we have found, we get:
n - 84 = 0.2n
Simplifying and solving for n, we get:
0.8n = 84
n = 105
Therefore, the estimated number of times both spinners land on blue out of 105 trials is: number of times both spinners land on blue
= 0.2 × 105 - 84 ≈ 1
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i need to know plz help
Answer:
122in^2
Step-by-step explanation:
A= 10x10x3.14 = 314in^2
Ar= 12x16= 192in^2
Asr= 314-192= 122in^2
Examine the system of equations.
5x + 6y = 32
5x – 6y = 8
Which variable or variables will be eliminated when you add the system of equations?
Which equation results from adding the system of equations?
9514 1404 393
Answer:
y is eliminated10x = 40Step-by-step explanation:
The coefficients of y are opposites. Adding opposites results in a sum of 0. The y-term will be eliminated by adding the equations.
The result of that addition is ...
(5x +6y) +(5x -6y) = (32) +(8)
10x = 40
The amount of television viewed by today's youth is of primary concern to Parents Against Watching Television (PAWT). 300 parents of elementary school-aged children were asked to estimate the number of hours per week that their child watched television. The mean and the standard deviation for their responses were 16 and 4, respectively. PAWT constructed a stem-and-leaf display for the data that showed that the distribution of times was a bell-shaped distribution. Give an interval around the mean where you believe most (approximately 95%) of the television viewing times fell in the distribution.
A) between 12 and 20 hours per week
B) between 8 and 24 hours per weelk
C) between4 and 28 hours per week
D) less than 12 and more than 20 hours per week
Answer:
B) between 8 and 24 hours per week
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 16, standard deviation of 4.
Give an interval around the mean where you believe most (approximately 95%) of the television viewing times fell in the distribution.
Within 2 standard deviations of the mean, so:
16 - 4*2 = 16 - 8 = 8 hours per week.
16 + 4*2 = 16 + 8 = 24 hours per week.
This means that the correcgt answer is given by option B.