Answer:
[tex]r = 3.74cm[/tex]
Step-by-step explanation:
Given
Hemisphere
[tex]Radius = 7cm[/tex]
Cone
[tex]Height = 49m[/tex]
Required
Determine the radius of the cone
First, we calculate the volume (V1) of the hemisphere.
[tex]V_1 = \frac{2}{3}\pi r^3[/tex]
Substitute 7 for r
[tex]V_1 = \frac{2}{3}\pi * 7^3[/tex]
[tex]V_1 = \frac{2}{3}\pi * 343[/tex]
[tex]V_1 = \frac{686}{3}\pi[/tex]
Volume (V2) of a cone is:
[tex]V_2 = \frac{1}{3}\pi r^2h[/tex]
Because the lead is cast into a cone, then they have the same volume.
So, we have:
[tex]\frac{686}{3}\pi = \frac{1}{3}\pi r^2h[/tex]
[tex]686 = r^2h[/tex]
Substitute 49 for h
[tex]686 = r^2 * 49[/tex]
Divide both sides by 49
[tex]r^2 = \frac{686}{49}[/tex]
[tex]r^2 = 14[/tex]
[tex]r = \sqrt{14[/tex]
[tex]r = 3.74cm[/tex]
Hence, the radius of the cone is 3.74cm
Which number line shows the solution of -6x + 18 < 30? WILL GIVE BRAINLIEST PLEASE HELP
Answer:
C.
Step-by-step explanation:
Brainliest me pls
Have a nice day!
Answer:
d. x > -2
Step-by-step explanation:
okay lets simplify this equation
-6x + 18 < 30
first lets subtract 18 from both sides
-6x < 12
now divide both sides by -6
x < -2
important rule: when you multiply or divide an inequality by a negative number, you must flip the inequality sign!
x > -2
answer d matches this inequality
For a study of adolescents' disclosure of their dating and romantic relationships, a sample of 224 high school students was surveyed. One of the variables of interest was the level of disclosure to an adolescent's mother (measured on a 5-point scale, where 1 = "never tell" and 5 ="always tell"). The sampled high school students had a mean disclosure score of 3.38 and a standard deviation of 0.98. The researchers hypothesize that the true mean disclosure score of all adolescents will exceed 3. Do you believe the researchers?
Conduct a formal test of hypothesis using α = 0.05. Set
Answer:
The decision rule is
Reject the null hypothesis
The conclusion is
There sufficient evidence that the true mean disclosure score of all adolescents will exceed 3
Step-by-step explanation:
From the question we are told that
The sample is n = 224
The sample mean is [tex]\= x = 3.38[/tex]
The standard deviation is [tex]s = 0.98[/tex]
The population mean is [tex]\mu = 3[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu = 3[/tex]
The alternative hypothesis is [tex]H_a : \mu > 3[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ \= x - \mu }{ \frac{s}{ \sqrt{n} } }[/tex]
=> [tex]z = \frac{ 3.38 - 3 }{ \frac{0.98 }{ \sqrt{224} } }[/tex]
=> [tex]z = 5.80[/tex]
From the z table the area under the normal curve to the right corresponding to 5.80 is
[tex]p-value = 0[/tex]
From the value obtained we that [tex]p-value < \alpha[/tex] , hence
The decision rule is
Reject the null hypothesis
The conclusion is
There sufficient evidence that the true mean disclosure score of all adolescents will exceed 3
A is twice as good a workman as B and together
they finish a piece of work in 18 days. In how
many days will A alone finish the work?
Answer:
vbnmnbv nbbnmbnmvbr
Step-by-step explanation:
How do you find the Area of a pentagon
Answer:
Area of a regular pentagon = pa/2, where p = the perimeter and a = the apothem. If you don't know the perimeter, calculate it from the side length: p = 5s, where s is the side length.
Step-by-step explanation:
Answer:
I think base times hight
A polynomial function has x-intercepts at -2, 1/2, and 2 and a relative maximum at x = -1.
Which graph matches the description of this function?
Answer: A :)
Step-by-step explanation:
The function goes through -2, 1/2, and 2, maximum goes through x= -1
By using the information about the x-intercepts and the relative maximum, we can see that the correct option is A.
How to find the correct graph of the polynomial?
First, we know that we have a relative maximum at x = -1, this means that we have a "mountain" at x = -1.
The only two graphs with that feature are A and B.
Now we also know that the x-intercepts are:
-2, 1/2, and 2.
Where the x-intercepts are the values of x at which the graph intercepts the x-axis. There you can see that we have one negative and two positives, from that, we can conclude that the only correct option can be A (because B has two negatives and one positive x-intercepts).
Finally, we conclude that the correct option is A.
If you want to learn more about polynomials, you can read:
https://brainly.com/question/4142886
A party of 5 wants to add a tip of 20% to their total $175 bill
Answer:
Hi, I think your question is incomplete. But I'll assume you're asking a party of 5 wants to add a tip of 20% to their total 175 dollars bill, how much do each person needs to pay?
Step-by-step explanation:
Firstly, calculate the percentage: 175 x 20% is 35, so 35 + 175 is 210.
210 ÷ 5 (Num. Of people in party)
Is 42 dollars. Therefore each people need to pay 42 dollars.
If a data plot has most of the data on the left side of the graph, and a tail to the right, what do we call it?
Answer:
Positively skewed distribution (or right-skewed).
Solve for Y
ABC = DEF
Answer:
12
Step-by-step explanation:
△ABC ≅ △DEF means that these two triangles are congruent to each other. Congruent triangles also have corresponding sides and angles that are equal to each other!
This means that angle A corresponds to angle D; and thus, we can set up in equation for these two to solve for y.
First, let's try to decipher what exactly we are solving. Y is what we are multiplying by five to get 60°, or angle A (congruent angle).
Now, we just solve it!
[tex]60=5y[/tex]
y=12
Perform the indicated operations:
Answer:
B. x+1 / x+9
Step-by-step explanation:
We are designing gift bags of fruit, and a bag is supposed to contain 30 pieces of fruit. Find the number of bags of fruit that can be made out of apples, bananas, oranges, and pears, where, in each bag, the number of apples is even, the number of bananas is a multiple of 5, the number of oranges is at most 4, and the number of pears is 0 or 1.
a. What if the 30 were replaced by n?
b. Is there a formula for the number of bags with n pieces of fruit that obey these rules?
Step-by-step explanation:
For each type of fruit, the corresponding generating function will be:
For apples the generating function will be:
For banana the generating function will be:
For orange the generating function will be:
[tex]\sum_{e 3=0}^{\infty} x^{e^{3}} &=1+x+x^{2}+x^{3}+x^{4}+\ldots \ldots \\
&=\frac{1-x^{5}}{1-x}[/tex]
For pears the generating function will be :
Then the generating function is the product of the factors:
[tex]={c}
n+2-1\\
n \\[/tex]
Therefore, we get
From the given question data,
[tex]h_{n} &=n+1 \\
&=30+1 \\
&=31[/tex]
CONCLUSION：
For h_{n} the value n=30 is the answer.
pls help me i am stuck and it would help alot:)
Answer:
The fourth choice
In a random survey of 50 students at Great Middle school,32 said chocolate was their favorite flavor of yogurt.The school has 450 students.How many of them are likely to select chocolate as their favorite flavor?
Answer:
288 I think
Step-by-step explanation:
450 divided by 50 is 9
9 times 32 is 288
I might be wrong
just in case
sorry!
Plz plz plz plz help me out
Answer: 60
Step-by-step explanation:
you can see here that 1 van can hold 12 people. so, if you just multiply that number by 5, then you can see how many fit into 5 vans.
Answer:
60 passengers.
Step-by-step explanation:
From the table, you'ld realise that it is in a sequence of (12), that is 1×12=12, 2×12=24, therefore, the number of passengers that can be transported in 5 vans are 5×12= 60 passengers.
Help on this one please
How do you factor the sum of cubes of 216s³+ 27t³?
You can not make the sum of two unalike terms.
Simplefly the problem 1/2x/45>61
Answer:
x>5490
x
>61
x>61×90
x>5490
please somebody help me please i really need help plz don't wanna fail it please help really need help please will mark the brainliest and more points please help please please please please help please please
Answer:
what does the first one say? its too hard to read
Solve each system of equations by elimination.
y= -x+1 y=4x-14
By ELIMINATION
Answer:
X=3, y=-2
Step-by-step explanation:
Give the domain and range.
-3 0 3 у -6 0 6.
a. domain: {-3, 0, 3), range: 2-6, 0, 6)
b. domain: {-6, 0, 6), range: {-3, 0, 3}
c. domain: {3, 0, 3), range: {6, 0, 6}
d. domain: {6,0, 6), range: {3, 0,3}
Answer:
The domain: {-3, 0, 3}
The range: {-6, 0, 6}
Therefore, option (a) is correct.
Step-by-step explanation:
Given the table
x -3 0 3
y -6 0 6
Determining the Domain:
We know that the domain of a relation is the set of all the x-values of the set X. In other words, the domain of relation consists of all the input values.Therefore, the domain: {-3, 0, 3}
Determining the Range:
We know that the range of a relation is the set of all the y-values of the set Y. In other words, the range of relation includes all the output values.Therefore, the range: {-6, 0, 6}
Therefore, we conclude that option (a) is correct.
Stephen Curry makes 43.5% of his 3 point shots. In a typical season, Curry takes around 700 3 point shots. Assume Curry takes 700 3 point shots in the 2020 season, and those shots are independent and can be modeled using the binomial theorem. (Hint: Don't forget the continuity correction!)
a. Find the probability that Curry makes less than 300 3 point shots.
b. Find the probability that Curry makes more than 350 3 point shots.
Answer:
a. Find the probability that Curry makes less than 300 3 point shots.
Please help, I will mark brainliest.
Answer:
Step-by-step explanation:
Total number of students who roller skated = 80
Number of students who roller skated with laser tag = 39
Number of students who roller skated with no laser tag = 80 - 39 = 41
Therefore, percentage of students who roller skated with no laser tag = [tex]\frac{41}{154}\times 100[/tex] = 27%
Since, number of students who played laser tag = 85
Percentage of students who played laser tag = [tex]\frac{85}{154}\times 100[/tex] = 55%
Total number of students who played no laser tag = 45% of 154 = 69
Number of students with no roller skates and no laser tag = 69 - 41 = 28
Percentage of students with no roller skates and no laser tag = [tex]\frac{28}{154}\times 100[/tex]
= 18%
Percentage of students who played with no rollers skates = (30 + 18)%
= 48%
Laser tag No laser tag Total
Roller skate 25% 27% 52%
No Roller skate 30% 18% 48%
Total 55% 45% 100%
The polynomial equation x3 - 4x²+2x+10 - 42 -5x-3 has complex roots 3 + 21. What is the other root? Use a graphing
calculator and a system of equations.
O-3
O-1
O 3
O 10
9514 1404 393
Answer:
B. -1
Step-by-step explanation:
The graphing calculator shows the left-side function intersects the right-side function at x = -1.
The Black Panther looks for Vibranium to put in his spear.He spends 3/5 of an hour searching.Over 4 days,about how many hours does he search for gemstones
Answer:
RIP chadwick
Step-by-step explanation:
Solve the equation and check the solution.
A - 2 1/2 = 1 1/2
O a = 1
O a = 3 1/2
O a = 4
O a = 4 1/2
Step-by-step explanation:
A - 2.5 = 1.5
A = 1.5 + 2.5 (Add 2.5 on both sides)
A = 4.
Answer:
C
Step-by-step explanation:
F(2)=?
Find it please
Answer:
- 2
Step-by-step explanation:
f(2) = - 2
Scott bought 6 shirts that each cost the same amount. Before sales tax was added, his total bill was $80.94. How much did each shirt cost
Answer:$13.49
Step-by-step explanation:
$80.94 / 6 = $13.49
find the coordinates for the foci
Answer:
where is the question
Step-by-step explanation:
was it warmer at 3:00 p.m. or 9:00 p.m.
Answer:
3:00pm
Step-by-step explanation:
Cause the sun is out
3 p.m.
This is the answer
what s the distance between e and a
Answer:
4 letters XD
Step-by-step explanation:
you didn't attach a picture.
Sum of the Interior angles of a 32-gon
Answer: 5,400 degrees
Step-by-step explanation:
Answer:
In geometry, a triacontadigon (or triacontakaidigon) or 32-gon is a thirty-two-sided polygon. In Greek, the prefix triaconta- means 30 and di- means 2. The sum of any triacontadigon's interior angles is 5400 degrees.
Internal angle (degrees): 168.75°
Dual polygon: Self
Symmetry group: Dihedral (D32), order 2×32
Step-by-step explanation:
Your welcome!!!❤