Answer:
115 hours.
Step-by-step explanation:
35+70=105
105+10=115 hours
Dalaysia is participating in a walk-a-thon. One sponsor will donate $80 just for entering the race.
Another sponsor will donate $12 for each mile she walks. How many miles should she walk if she
wants to raise exactly $200 from those two sponsors? )
Let m represent the number of miles Dalaysia walks. Write an equation that
represents the number of miles Dalaysia needs to walk to raise exactly $200 from
the two sponsors. 1)
Answer:
10 miles to earn 200 cash
Steps:
80 + 12m = 200
12m = 200 - 80
12m = 120
12m/12 = 120/12
m = 10
Answer:
200 = 80+12m
10 miles
Step-by-step explanation:
She will get 80 from the first and 12m from the second
She needs 200
200 = 80+12m
Subtract 80 from each side
200 -80 = 12m
120 = 12m
Divide each side by 12
120/12 = m
10 =m
She needs to walk 10 miles
Consider this example on how different a median can be from a sample. Suppose there is a company that mentions the average salary at Company A last year was $ 135,750 per year. Being interested in this you try to investigate this. You discover there are 8 individuals, including the business owner, that works at the company. You discover that the salaries of the 7 individuals are surprisingly low. The salaries of those 7 individuals are $8,000, $8,000, $7,000, $11,000, $15,000, $17,000, and $20,000. You then discover the salary of the business owner to be $1,000,000.
Compare the mean with the median? What does this show?
Find Q1 (first quartile) , Q3 (third quartile) , and Interquartile Range (IQR)?
Are there outliers? Please prove there is an outlier using the Q1-1.5*IQR and Q3 + 1.5*IQR formulas?
Find the 10% trimmed mean of the 8 salaries above. Compare this with the median found in part a.
What do you think represents a more typical salary of the organization above? Would you want to work for this company?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data :
8000, 8000, 7000, 11000, 15000, 17000, 20000, 1000000.
Mean = Σx / n = 1086000 / 8 = 135750
Median = 1/2(n+1)th term = 8000
The lower quartile :
Q1 = 1/4(n+1)th term
Q1 = 8000
Q3 = 3/4 (n+1)th term
Q3 = 18500
IQR = 18500 - 8000 = 10500
OUTLIER :
8000 - (1.5*(10500)) = - 7750
18500 + (1.5*(10500)) = 34250
10% trimmed mean
10% * 8
Cut off 1 from the top and bottom
Data becomes : 8000, 8000, 11000, 15000, 17000, 20000
Trimmed mean = 13166
Suppose you can make your own ice cream cone by choosing the type of cone, the flavor of ice cream, and the toppings. The number of choices is 4 cones, 6 flavors, and 14 toppings. What principle would you use to determine how many different dinner menus can be chosen?
Answer:
ELHLADOE
Step-by-step explanation:
The number of ways using permutation and combination of ice cream is = 4*6*14 ways.
What are permutation and combination?The distinctive methods of arranging a set of items right into a sequential order are termed Permutations. one of the several methods of choosing items from a massive set of gadgets, without thinking about an order is termed a mixture.
mixture and permutation are extraordinary methods of grouping elements of a set into subsets. In aggregate, the factors of the subset may be listed in any order. In a permutation, the elements of the subset are indexed in a particular order.
explanation:
using multiplication rule of probability.
=The number of choices is 4 cones
= The number of choices of flavour = 6
= The number of choices topping = 14
Hence total combination is = 4*6*14
336.
A permutation is a mathematical calculation of the variety of approaches a selected set can be organized, wherein the order of the arrangement topics.
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Which of the following elements is present in the above spectrum
Answer:
umm sorry but you haven't given the examples yet!!
Can someone help me? Step by step, no links. Will give brainliest to the right answer
Answer:
I'm pretty sure it's 3/5
Graph the inequality 7≤ y -3x < 11
Answer:
1
Step-by-step explanation:
Use the F-scale measurements of tornadoes listed in the accompanying table. The range of the data is 4.0. Use the range rule of thumb to estimate the value of the standard deviation. Compare the result to the actual standard deviation of the data, 1.0.
3
2
3
2
1
1
0
1
2
3
1
1
1
2
2
2
2
0
1
2
1
0
0
1
0
0
2
0
2
2
1
0
0
0
1
0
1
2
3
2
0
2
2
0
0
0
1
0
0
0
0
0
1
0
0
1
1
0
0
1
0
0
2
0
0
0
0
0
1
2
4
0
1
0
0
0
0
2
2
0
1
1
1
2
1
0
0
2
0
2
0
2
2
2
0
0
4
0
Compare the result to the actual standard deviation.
The estimated standard deviation is________(within 0.5 of, over 0.5 less than, over 0.5 greater than) the actual standard deviation. Thus, the estimated standard deviation_________(is, is not) substantially different from the actual standard deviation.
Answer:
Within 0.5 of ;
is not ;
Step-by-step explanation:
Given the data:
The actual standard deviation, = 1
;
The range rule of thumb to estimate the value if standard deviation is ;
Estimated standard deviation = Range / 4
The range = (maximum - minimum) values
The estimated standard deviation = 4 / 4 = 1
Hence, the estimated standard deviation is with 0.5 of the actual standard deviation, Thus, the estimated standard deviation is not substantially different from the actual standard deviation.
the problem has two parts. thank you <3
Mariana tried to drink a slushy as fast as she could. She drank the slushy at a rate of 4.5 milliliters per second. After 17 seconds, 148.5 milliliters of slushy remained.
How much slushy was originally in the cup?
9514 1404 393
Answer:
225 mL
Step-by-step explanation:
The amount Mariana drank was ...
(4.5 mL/s)×(17 s) = 76.5 mL
The original quantity is that amount added to the amount remaining:
original amount = amount drunk + amount remaining
= 76.5 mL +148.5 mL
original amount = 225 mL
What type of angle is shown below?
O acute
O obtuse
Oright
O straight
Answer:
Straight
Step-by-step explanation:
Its 180° or a straight line
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
Straight po di kopo sure
Step-by-step explanation:
Hope it helps
Molly wants to buy a raincoat for her pet. If the raincoat cost $39.99 and has a sales tax rate of 7%. What will be the final price (with tax) of the raincoat?
Answer:
$42.7893 or $42.79 rounded
Full as shown in the photo Integra
WHAT IS THIS
AM CONFUSEDDDD
DO YOU NEED HELP WITH HOEMWORK
Standard normal curve. Very confused
Each shaded area represents a probability. The first plot, for instance, represents the probability P (-z ≤ Z ≤ z) = 0.8064 for some number z that you have to find. To find these z, you'll need to be familiar with properties of the normal distribution as well as with lookup tables for z-scores or using inverse CDFs. (I'll provide a link in the comments to a calculator you can use.)
(a) The area under the curve between -z and z is 0.8064. This means the area outside this interval is 1 - 0.8064 = 0.1936. Because the distribution is symmetric about its mean (0 for the standard normal distribution), you know that the area under the curve to either side of the shaded region is half of this, or 0.0968. This area corresponds to the probability P (Z ≤ -z).
So you have
P (-z ≤ Z ≤ z) = P (Z ≤ z) - P (Z ≤ -z) … … … (a property of continuous distributions)
0.8064 = P (Z ≤ z) - 0.0968 ==> P (Z ≤ z) = 0.9032
and looking up the z-score, you would find z = 1.3.
(b) Because this distribution is symmetric about the mean, the mean is the same as the median, which is the number z such that P (Z ≤ z) = 0.5. In other words, half of the entire distribution falls to either side of the mean.
We use this fact to write
P (0 ≤ Z ≤ z) = P (Z ≤ z) - P (Z ≤ 0) = P (Z ≤ z) - 0.5 = 0.4452
==> P (Z ≤ z) = 0.9452
==> z ≈ 1.6000
(c) Keep in mind that the CDF is defined as P (Z ≤ z), so in order to find a probability like P (Z ≥ z), you have to take the complement:
P (Z ≥ z) = 1 - P (Z ≤ z) = 0.1711 ==> P (Z ≤ z) = 0.8289
==> z ≈ 0.9498
(d) Same reasoning as in (c):
P (Z ≥ z) = 1 - P (Z ≤ z) = 0.9918 ==> P (Z ≤ z) = 0.0082
==> z ≈ -2.3999
(e) Much more straightforward:
P (Z ≤ z) = 0.9115 ==> z ≈ 1.3501
BRAINLIST BRAINLIST WHO WANTS BRAINLIST ANSWER AN HERE IS YOU FRESH BRAINLIST
Answer b
Step-by-step explanation: :)
Answer:
A. the maximum value would increase
C. the median would stay the same
From the top of a lighthouse 280 feet tall, to keep her spot a ship in distress at an angle of depression of 18°. How far is the boat from shore(The base of the lighthouse) round to the nearest foot
Given:
Height of the lighthouse = 280 feet
The angle of depression from the top of the lighthouse to a ship = 18°.
To find:
The distance between boat and shore.
Solution:
Draw a diagram by using the given information.
In a right angle triangle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
In triangle ABC,
[tex]\tan C=\dfrac{AB}{BC}[/tex]
[tex]\tan 18^\circ=\dfrac{280}{BC}[/tex]
[tex]BC=\dfrac{280}{\tan 18^\circ}[/tex]
Using a calculator, we get
[tex]BC=\dfrac{280}{0.3249}[/tex]
[tex]BC=861.80363...[/tex]
[tex]BC\approx 862[/tex]
Therefore, the boat is 862 feet away from shore.
Caroline weighs 41,390,000 milligrams and her baby sister weighs 3,415 grams. What is their total weight in kilograms?
A. 4.4805 kg
B. 448.05 kg
C. 44.805 kg
D. 4480.5 kg
Answer:
C. 44.805
Step-by-step explanation:
41,390,000 milligrams is 41.39 in kilograms and then 3,415 grams in kilograms is 3.415 so add those up 41.39+ 3.415= 44.805kg
The total weight in kilograms is C. 44.805 kg
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Convert mg to kg;
Caroline weighs 41,390,000 mg
1 mg = 0.000001 kg
41,390,000 mg = x
x = 41,390,000 mg × 0.000001 kg
= 41.39 kg
Now, Converting her baby sister's weight to kg
1000g = 1 kg
3415 g = x
Cross Multiply;
1000x = 3415g × 1 kg
x = 3415g × 1 kg/1000
x = 3.415 kg
Therefore, the total weight in kilograms is;
41.39 kg + 3.415 kg
= 44.805 kg
Learn more about the unitary method, please visit the link given below;
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2. Find the mean number of tornadoes
per year.
Basically i need to find the median of one number. Does anyone know the median of 44? Thx
Select the correct answer.
Why does the value of money that you save increase over time?
OA.
because it earns interest
OB
because it is not spent
ОC.
because future value is always greater than present value
Answer:
maybe it's option 'B' because it earns interest
How can a sequence of transfomations map a figure onto itset?
Please help me please help me if you don't know gently move your hand
i will make you brainliest with 15 points
Answer:
7cm
14cm
dπ or 2r π
14π or 2(7π)
Step-by-step explanation:
Radius = 7cm
Diameter = 7 x 2 = 14cm
Circumference = 2 x π x r = dπ
Circumference Value = 2 x π x 7 = 14π
Answer:
Radius: 7 cm
Diameter: 14 cm
Circumference Formula: c = dπ or c = 2rπ
Circumference Value: c = 14π or c = 2(7π)
Step-by-step explanation:
We are given that the radius of the circle is 7 cm. The diameter will always be twice as large as the radius so that will lead us to 14 cm as the diameter of the circle. The formula is quite simple. There are two different types of formulas for finding the circumference of a circle. If only the diameter is given, then we use the formula c = dπ, where d is for diameter and π is for pi or 3.14159. If only the radius is given, then we use the formula c = 2rπ, where r is for radius and π is for pi or 3.14159. In this case, we are going to use the formula for radius since only the radius is given. Simply plug in the value for radius then multiply the radius to π or 3.14159 and multiply the product by 2 to get the circumference of the circle. If I am wrong, please let me know. I hope this helps! :D
7*7*7*7*7 written in exponential form
Answer:
7^5
Step-by-step explanation:
7x7x7x7x7 is equal to 7^5. Depending on how much sevens there are, that is the power number. In this case there are 5 sevens so that means it is 7^5.
If this helps please mark as brainliest
Answer:
7^5
Step-by-step explanation:
see image below:)
Please help need this rn
Answer:
41
Step-by-step explanation:
0,5r = 20,5|:0,5
r = 41
Consider the original triangle and the reduction.
A triangle has a base A and height 8 centimeters. Another triangle has a base of 3 centimeters and height of 4 centimeters.
What is the length of side A in centimeters?
6 cm.
Explanation:
Since they've given use the area of the triangle, we can use the area formula to find the base of the triangle.
The formula to find the area of a triangle is:
a
=
1
2
h
b
→
(
h = height
,
b= base
)
We know:
a
=
24
h
=
8
So we can substitute them in and find
b
:
24
=
1
2
(
8
)
b
Multiply by sides by 2 and then divide:
24
×
2
=
1
2
(
8
)
b
×
2
48
=
8
b
6
=
b
The base of the triangle is
6 cm.
ur welcome ♥️♥️
If the ratio of a circle's sector to its total area is 1/3, what is the measure of
its sector's arc?
A. 120 degrees
B. 250 degrees
C. 180 degrees
O D. None of the above
Answer:
option A: 120°
Step-by-step explanation:
[tex]Area \ of \ circle = \pi r^2\\\\Area \ of \ sector = \pi r^2 \frac{ \theta}{360}\\\\Ratio \ of \ sector \ to \ circle = \frac{1}{3}\\\\That is, \\\frac{1}{3} = \frac{\pi r^2 \frac{\theta}{360}} {\pi r^2}\\\\\\\frac{1}{3} = \frac{\theta}{360} \\\\\frac{360}{3} = \theta\\\\120 = \theta[/tex]
nine of 20 people surveyed preferred chocolate ice cream to vanilla ice cream . what percentage prefered chocolate ice cream? what fraction prefered vanilla ive cream
Answer:
percent: 45%
fraction: 11/20
Step-by-step explanation:
There are 3 boys to every 5 girls in a class. The class has 64 students. How many boys are there
and how many girls?
Anyone care to give me a hand with this?
Calculate the slope of the line that contains the points: (2, -3) and (6, -3)
Answer:
[tex]\displaystyle m = 0[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (2, -3)
Point (6, -3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{-3- -3}{6- 2}[/tex][Fraction] Subtract: [tex]\displaystyle m = \frac{0}{4}[/tex][Fraction] Divide: [tex]\displaystyle m = 0[/tex]The mean annual premium for automobile insurance in the United States is $1,499. Being from Pennsylvania, you believe automobile insurance is cheaper there and wish to develop statistical support for your opinion. A sample of 25 automobile insurance policies from the state of Pennsylvania showed a mean annual premium of $1,440 with a standard deviation of s = $150.
a. Develop a hypothesis test that can be used to determine whether the mean annual premium in Pennsylvania is lower than the national mean annual premium.
b. What is a point estimate of the difference between the mean annual premium in Pennsylvania and the national mean (to the nearest dollar)?
Answer:
a) Then, t(s) is in the rejection region. We can not support that the mean annual premium in Pennsylvania is lower than the national mean annual premium
b) The point estimate of the difference is 59 $
Step-by-step explanation:
From sample we get:
sample size n = 25
annual mean x = 1440
standard deviation of the sample s = 150
mean for the mean annual premium μ = 1499
Hypothesis Test:
Null Hypothesis H₀ x = μ
Alternative Hypothesis Hₐ x < μ
Alternative Hypotesis indicates that the test is a one-tail test to the left
Let´s assume confidence Interval 95 % then α = 5 % α = 0.05
As n < 30 and we assume normality we will make a t-student test
degree of freedom df = n - 1 df = 24
With df = 24 and α = 0.05 and from t-student table we get t(c) = - 1.711
To calculate t(s) we apply:
t(s) = ( x - μ ) / s/√n
t(s) = ( 1440 - 1499 ) * 5 / 150
t(s) = - 59/ 30
t(s) = - 1.96
Comparing t(s) and t(c)
|t(s)| > |t(c)|
Then, t(s) is in the rejection region. We can not support that the mean annual premium in Pennsylvania is lower than the national mean annual premium.
b) The point estimate for the difference is : x - μ = 59 $
Belle will randomly select two cards without replacement what is the probability that both will choose two hearts
The probability that Belle will select two hearts is 2/15.
To find the probability of Belle selecting two hearts, we need to calculate the probability of selecting a heart on the first draw and then, given that the first card was a heart, the probability of selecting another heart on the second draw.
Total number of cards = 3 (star cards) + 4 (hearts cards) + 3 (spade cards) = 10 cards
Probability of selecting a heart on the first draw = 4 (hearts cards) / 10 (total cards) = 2/5
After selecting a heart on the first draw, there will be 9 cards remaining, with 3 hearts cards left.
Probability of selecting a heart on the second draw, given that the first card was a heart = 3 (hearts cards) / 9 (remaining cards) = 1/3
To find the probability of both events happening (selecting two hearts), we multiply the probabilities:
Probability of selecting two hearts = (2/5) x (1/3) = 2/15
Therefore, the probability that Belle will select two hearts is 2/15.
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Bonus 6: Find the Total Area 10 11.4 18 1 9 24
9514 1404 393
Answer:
1328.4 square units
Step-by-step explanation:
The total surface area is the sum of the areas of the trapezoidal bases, and the areas of each of the four rectangular faces.
The area of each trapezoidal base is ...
A = 1/2(b1 +b2)h
A = 1/2(10 +24)(9) = 153 . . . . square units
__
The total area of the four rectangular faces is ...
A = bh . . . . area of one face
A = 11.4(18) +10(18) +11.4(18) +24(18) = (11.4 +10 +11.4 +24)(18) = 1022.4
So, the total area is ...
SA = 2×base area + face area
= 2×153 +1022.4 = 1328.4 . . . . square units