Answer:
πr²h/3
Step-by-step explanation:
volume of cone = πr²h/3
where π = 3.14
r = radius of cone,
h= height of cone.
An economist is studying salaries for high technology companies and wants to test the claim that the average salary for high
tech employees is less than $70,000.
The economist selects a sample of 35 random employees from various high tech companies and records their salaries.
Based on past studies, the economist determines that the population standard deviation is $8,500.
The economist conducts a one-mean hypothesis test at the 5% significance level to test the claim that the average salary for
high tech employees is less than $70,000.
The setup for the null and alternative hypothesis is given as:
Hoμ = 70,000; Ha < 70,000, which is a left-tailed test.
The sample data for 35 salaries is shown in the dataset below.
Use Excel to test the claim that the average salary for high tech employees is less than $70,000, where a = 0.05. Calculate
the test statistic, z, and the p-value, rounding to three decimal places.
The decision would be to fail to reject the null hypothesis and conclude that there is insufficient evidence.
How to solve for the mean of the data setThe formula is fx/n
To get fx we have to sum all of the values of x = 2430161
The total number in the data set = 35
Mean = 2430161/35
= 69433.17
This test is a left tail test.
sd = 8500
We have to make the hypothesisH0: u = 70000
H1 : U < 70000
z0.05 = 1.645
The decision would be to reject if z < critical value
Z= (69433.17 - 70000)/(8500/√35)
= -0.395
P-value can be gotten from the z score = 0.348
Given that the p value is > 0.05, we would have to fail to reject the null. The conclusion would be that there is insufficient evidence to support claim.
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Mia ran 10 laps in 6 minutes. Shawna ran 5 laps in 4 minutes.
Which person ran at a faster rate? Use mathematics to justify your answer.
Answer:
mia
Step-by-step explanation:
mia: 10/6 per minute
shawn: 5/4 per minute
common denominator is 12, multiply by 2 and 3
20/12 lap per minute mia
15/12 laps per minute shawn
20 > 15
Move the red distribution at the top so that it aligns with the blue distribution. Now look at the green distribution at the bottom. How would you best interpret the green (bottom) distribution?
A- The distribution of differences between the sample means of each group has a mean at or near zero making it likely the two groups are not statistically different.
B- The distribution of differences between the sample means of each group has a mean at or near 325 making it likely the two groups are not statistically different.
C- The distribution of differences between the sample means of each group has a mean at or near zero making it likely the two groups are statistically different.
D- The distribution of differences between the sample means of each group has a mean at or near 325 making it likely the two groups are statistically different.
Answer:
A- The distribution of differences between the sample means of each group has a mean at or near zero making it likely the two groups are not statistically different.
Step-by-step explanation:
The distribution of both the red and blue is identical although the skewness differs slightly. The distribution of the two groups is identical and their mean is near to zero. The distribution of observation of the group provides clear view that these two groups are not statistically different.
Yep here we go again:
In the diagram below lines HA and BC are parallel. If angle GEC = 135 what is angle DEC?
If you don't know the answer or not sure please don't answer! :)
I will give brainliest to the best answer!
Hope you have a good day!
Answer:
let DEC=x
x-135=180
x=45°
supplementary angles
In x^a=y, y^b=z, z^c=x, then prove that abc=1
Step-by-step explanation:
Let, x^a =y......(1) and
y^b =z.....(2) and
z ^c =x......(3).
Now, using (1) in (2) we get,
x ^ab =z......(4).
Now, using (4) in (3) we get,
x ^abc =x
or, x ^abc =x ^1
or, abc=1.
Hope it will help :)
Step-by-step explanation:
hope the above solution will help you
A survey was conducted at a local restaurant about the type of seating preferred by males and females. The results of the survey are shown i
the table.
Indoor Outdoor Total
Males
23
65
88
Females
47
13
60
Total
70
78
148
Approximately what percentage of those surveyed preferred indoor seating?
A. 47%
B. 53%
C. 70%
D. 78%
Answer:
c: 70
Step-by-step explanation:
PLS HELP!!! I dont understand 6 grade math
Answer:
1st pic) 1 1/2
2nd pic) 40% * x = 35 l x = 87.5
Step-by-step explanation:
3/4 is half
so multiply by 2 to get the whole
3/4 * 2 = 6/4 = 1 1/2
Function g is defined as g(x) = k f(x). What is the value of k?
What is the value of k?
Answer: Pick an x value like x = 2
Note that f(2) = 1 and g(2) = 2. This shows we've doubled the f(x) value to get g(x). Therefore k = 2.
Or you could pick on x = 4 to see f(4) = 2 and g(4) = 4. The output of f(x) has been doubled as well.
It doesn't matter what x is since we'll have this doubling effect go on. I recommend picking x values where the points on the blue graph land perfectly on a grid location. Something like x = 5 seems a bit tricky.
:
given that line a is parallel to line be and the slope on line a is 2 what is the slope of line b?
its line a
Step-by-step explanation:
Alvin is 15 years older than Elga. The sum of their ages is 77. What is Elga's age?
Answer: I think that it is 62
Step-by-step explanation:
77 minus 15= 62
tell me if its right.
hope this helps
Giovanni is heating up mini frozen pizzas in the microwave. Each pizza takes 3 ¾ minutes to cook. How long will it take Giovanni to heat up 3 pizzas? *
Time taken by a pizza to get cooked [tex] =\tt 3 \frac{3}{4} \: minutes [/tex]
Number of pizzas with Giovanni = 3
Time that will be taken to heat up 3 pizzas :
[tex] =\tt 3 \frac{3}{4} \times 3[/tex]
[tex] = \tt\frac{4 \times 3 + 3}{4} \times 3[/tex]
[tex] =\tt \frac{12 + 3}{4} \times 3[/tex]
[tex] = \tt\frac{15}{4} \times 3[/tex]
[tex] = \tt \frac{15 \times 3}{4} [/tex]
[tex] = \tt \frac{45}{4} [/tex]
[tex]\color{plum} =\tt 11 \frac{1}{4} \: minutes[/tex]
Therefore, Giovanni will take [tex] \color{hotpink}\tt \bold{11 \frac{1}{4}} \: minutes [/tex] to heat up 3 pizzas.
In a survey of 1800 people who owned a certain type of car, 1260 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
70%
Step-by-step explanation:
To find the percentage, we divide the number by the total.
The amount of people who said they'd buy it again is 1260, and the total is 1800.
1260/1800=0.7.
This means that 70% were satisfied with the car.
Answer:
70% you just take the amount of people that were satisfies divided by the overall amount of people. you'll get e decimal but just move the decimal place to get the percent.
Step-by-step explanation:
WILL MARK BRAINLEST
Answer:
x=13
Step-by-step explanation:
62+(4x+7)+(6x-5)+41+(3x+6)+(7x-11)=360
62+4x+7+6x-5+41+3x+6+7x-11=360
100+20x=360
20x=360-100
20x=260
x=260/20
x=13
A model car is 7.5 inches long made with a scale of 2 inches = 48 inches. How long is the actual car?
a) 15
b) 20
c) 180
d) 360
WILL MARK BRANLIEST!
Answer:
I'm pretty sure its 180 !!
helppppp............
Answer:
V=lwh
4x6x3
v=72
Answer:
72 cm
Step-by-step explanation:
for volume is pretty simple. All you have to do is multiply the length width and height of you're shape. Once you do that you get 72cm
Gabrielle is baking large batches of brownies and cookies to share with her friends and family. Among other ingredients, her brownie recipe calls for 1 cup of sugar and 2 eggs and her cookie recipe calls for 3 cups of sugar and 2 eggs. Gabrielle has 20 eggs and 21 cups of sugar, and she would like to know how many batches of brownies and cookies she can bake without getting more of these ingredients. Part A Question Which system of inequalities can model Gabrielle’s situation, where x represents batches of brownies and y represents batches of cookies?
The system of inequalities can model Gabrielle’s situation is;
x + 2y ≤ 20
x + 2y ≤ 203x + 2y ≤ 21
InequalityIt follows from the task content, that the inequalities which can be used to model Gabrielle's situation be determined.
By setting variables as follows;
batches of brownies = x batches of cookies = yBrownie:
Sugar = 1 cup
Eggs = 2
Cookie:
Sugar = 3 cups
Eggs = 2
x + 2y ≤ 20
x + 2y ≤ 203x + 2y ≤ 21
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PLS SOLVE THIS
I WILL MARK BRAINLIEST
Answer:
AB = 25 units
Step-by-step explanation:
In right triangle ACB, [tex] CD\perp AB[/tex]
Therefore, by geometric mean property:
[tex]CD^{2} ={AD\times DB} \\ \\ {10}^{2} = AD\times 5 \\ \\ 100 = 5AD \\ \\ AD = \frac{100}{5} \\ \\ AD = 20[/tex]
AB = AD + DB
AB = 20 + 5
AB = 25 units
what is the factor expression of 12p+30
Answer:
6(2p + 5)
Step-by-step explanation:
The largest common factor of 12 and 30 is 6. Thus,
12p+30 = 6(2p + 5)
Answer:
12x +30=6(2x+5)
Step-by-step explanation:
Find the Greatest Common Factor (GCF)
GCF = 6
Factor out the GCF (Write the GCF first and then in parenthesis, divide each term by the GCF)
6(12p/6 + 30/6)
Simplify each term that is within the parenthesis
6(2p + 5)
(hope this helps can i plz have brainlist :D hehe)
If the term of arthematic progression decrease in magnitude then common difference must be
We can say that if the term of arithmetic progression decrease in magnitude then the common difference must be negative.
An arithmetic progression is a sequence where every term is a sum of the previous term and a common difference.
If we suppose the first term of an arithmetic progression to be a, and the common difference to be d, then the arithmetic progression goes like this:
The first term, a₁ = a,
Second term, a₂ = a₁ + d = a + d,
Third term, a₃ = a₂ + d = a + 2d,
Fourth term, a₄ = a₃ + d = a + 3d, and it goes so on up to,
The n-th term, aₙ = aₙ₋₁ + d = a + (n - 1)d.
In the question, we are asked if the term of arithmetic progression decrease in magnitude then what can we say about the common difference.
As the magnitude of the term decreases, we can show that as:
The n-th term < The first term,
or, aₙ < a₁,
or, a + (n - 1)d < a,
or, a + (n - 1)d - a < a - a {Subtracting a from both sides},
or, (n - 1)d < 0.
Since, n > 1, (n - 1) > 0, thus we get the common difference, d < 0, that is, the common difference is negative.
Thus, we can say that if the term of arithmetic progression decrease in magnitude then the common difference must be negative.
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What is 3r2 – 48r + 192?
(-4,-2) (0,2) (-2,1) find the domain and range and can you tell me if it’s a function ?? PLS HELPPP
Answer:
domain means -4,0,-2 and range is -2,2,1
Alexandra has a home-based business putting on children’s parties. She charges $60 to design the party and then $4.00 per child. Write a function rule that relates the total cost of the party to the number of children n.
f(n) = 4 + 60n
f(n) = 4 – 55n
f(n) = 4n – 55
f(n) = 60 + 4n
Answer: I don't know/ A. f(n) = 4 + 60n
60+4n=cost. Because the number of children is multiplied by the cost for each child
i would say f(n)=60 +4n but i am probably wrong
Step-by-step explanation: other brainly's
f(n) = 4n + 60...or f(n) = 60 + 4n
f(n)=60+4n that is the correct answer!!!!!!
please help with this question
==========================================================
Work Shown:
The diagram is below.
In this diagram, we have KN and LM as opposite sides. For any parallelogram, the opposite sides are parallel (as shown by the arrow markers) and they are congruent to each other. In other words, KN and LM are the same length.
This means KN = LM and we can solve for x like so
KN = LM
3x-11 = x+15
3x-x = 15+11
2x = 26
x = 26/2
x = 13
Then we can find side KL
KL = 2x-4
KL = 2*13-4
KL = 26-4
KL = 22
Please help due today
Answer:
cubic hahahabqbnqnwnw
Half of $1\%$ of $40$ is one less than what number? Express your answer as a decimal to the nearest tenth.
Answer:
$0.2
Step-by-step explanation:
1% of $40
1/100 * 40
0.01 * 40 = $0.4
Half of $0.4
$0.4 / 2 = 0.2
Therefore, half of 1% of $40 equals $0.2
Answer:
1.2
Step-by-step explanation:
The other guy is wrong
I know because I checked
Which statements regarding the diagram are correct? Check all that apply. ST ≅ ST by the reflexive property. ∠RWS ≅ ∠UWT because they are vertical angles. △RWS ≅ △UWT by AAS. △RST ≅ △UST by SAS. ∠WTU ≅ ∠WSR because CPCTC.
ANSWER: ST ≅ ST by the reflexive property.
∠RWS ≅ ∠UWT because they are vertical angles.
△RWS ≅ △UWT by AAS.
∠WTU ≅ ∠WSR because CPCTC.
Answer:
A., B., C., and E.
Step-by-step explanation:
edge 2021
The correct statements regarding the diagram include all the statements except: △RWS ≅ △UWT by AAS.
Given the image attached below, let's analyze each of the options given to determine whether they are correct or not.
Statement 1 is correct because based on reflexive property, ST in ΔRST is congruent to ST in ΔUTS.
Statement 2 is also correct because ∠RWS is vertically opposite to ∠UWT, so they are vertical angles.
Statement 3 is also correct because ΔRWS and ΔUWT have two pairs of congruent angles (∠SRW ≅ ∠TUW and ∠RWS ≅ ∠UWT) and one pair of non-included congruent sides (SR ≅ TU).
Statement 4 is incorrect because ΔRST and ΔUST do not have a pair of included congruent angles to meet the SAS Congruence Criterion.
Statement 5 is correct because since ΔRWS ≅ ΔUWT, ∠WTU ≅ ∠WSR based on the CPCTC theorem.
Therefore, the correct statements regarding the diagram include all the statements except: △RWS ≅ △UWT by AAS.Learn more about congruence theorem on:
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Simplify the expression. 8(s-1)
Answer:
8s-8
Step-by-step explanation:
Use the distributive property: #(a-b) = #*a - #*b. In this case 8s - 8.
Hope it helps!
Answer:
8
−
8
hopes this help
Step-by-step explanation:
8
(
−
1
)
8
−
8
if 5,400,000
was written in scientific notation, what would be the exponent?
Answer:
hope it helped have a good day mate
Samuel bought 8 shirts for a total of $58. If tee shirts cost $6 and long sleeve shirts
cost $11, how many of each type of shirt did he buy?*
What is the length of the hypotenuse of the triangle?
Triangle A B C. Side A C is 7 centimeters and side B C is 3 centimeters. Hypotenuse A B is unknown.
StartRoot 20 EndRoot cm
StartRoot 23 EndRoot cm
StartRoot 40 EndRoot cm
StartRoot 58 EndRoot cm
The length of the hypotenuse of the triangle as given is; √58 cm.
What is the length of the hypotenuse of the triangle described?It follows from the task content that the triangle described in the task content is a right triangle with two other side lengths; 7cm and 5cm.
Hence, it follows from Pythagoras theorem that the length of the hypotenuse side of the triangle is;
Hypotenuse = √(5² + 7²)
Hypotenuse = √58 cm.
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