Answer: The average age of the children at the library is 7.1 years.
Step-by-step explanation:
Given,
Out of 20 children, six of the children have an average age of 5 years,
Thus, the sum of the ages of 6 students = 5 × 6 = 30
( Total sum of observations = Their Average × Total numbers of the observations )
Now, remaining students = 20 - 6 = 14,
Since, the remaining children have an average age of 8 years.
Thus, the sum of the ages of 14 students = 14 × 8 = 112,
Total sum of the ages of 20 students = 30 + 112 = 142
=142/20
= 7.1 years
Answer:
The average is 7.1 years!
Step-by-step explanation:
6 children = average of 5 years
14 children = average of 8 years
Solve the given equation: 49 = 7^(x+1) *
Answer:
x = 1
Step-by-step explanation:
49=7^x+1
Let's take the log of both sides
(x+1)*(log(7))=log(49)
x + 1 = log (49) / log (7)
x + 1 = 2
subtract 1 from both sides
x = 1
In a random sample of 175 community college students, the mean number of hours spent studying per week is 13.7 hours and the standard deviation is 4 hours.
Assuming the distribution of the number of hours community college students study per week is normally distributed, approximately how many of the students in the sample study between 9.7 and 17.7 hours per week?
Answer:
Approximately there are 119.47 students per week
Step-by-step explanation:
The # of students in the sample study between 9.7 and 17.7 hrs per week;
P (9.7 < x < 17.7) = P ((9.7 - 13.7)/4 < 7 < (17.7-13.7)/4)
P (-4/4 < 7 < 4/4)
P (-1 < 7 < 1)
0.8413 - 0.1587
0.6827
Therefore the # of student = n P
175 * 0.6827
119.47
hello there
I am looking for help here pls
Answer:
b
Step-by-step explanation:
I'm not sure how to explain this if it is correct plz mark as brainiest
Identify the function shown in this graph.
A.y=-x+3
B. y=-5x + 3
C. y=-5x-3
D. y = 5x - 3
Find the volume of this
prism.
Answer:
Volume of the prism =area of base*height
=[3*3+3*6]*9
=243 cm³
Alternate
Volume of prism : l*b*h+l*b*h=3*3*9+3*6*9=243cm³
I NEED HELP WITH THESE MATH PROBLEMS. I put 30 points for this.
1. The go-cart traveled at 10 miles per hour for half an hour. How far did it travel? show your work.
2. Gooey Good Bakery can bake 16 cakes in 1 hour. How many cakes can the bakery make in 5 3/4 hours? show your work.
3. Jennifer is adding a border to the quilt she made. Her quilt is 6 feet long and 5 feet wide. With an extra 6 inches to overlap, how much border material will she need? show your work.
4. The Marvelous Marble Company makes 100 marbles in 2 hours. How many hours would it take the company to make 1000 marbles? show your work.
5. A feather floats to the ground at a speed of 2 centimeters per second. Find the distance the same feather travels if it floats down for 20 seconds. show your work.
Answer:
1.5 miles
2.92
3.
Step-by-step explanation:
In the arithmetic sequence, what number goes in the blank?
6, 11, 16,___, 25, ...
A. 25
B. 20
C. 5
D. 21
Step-by-step explanation:
6, 11, 16,__21__, 25, ...
Hope it helps ya
If f(x) = x2 + 3x + 1, what is f(x + 2)?
Answer:
- f(X+2) = x^2 +7x +11
Step-by-step explanation:
- f(X) = x^2 +3x+1
- f(X+2) =(X+2)^2 + 3(X+2) + 1
- f(X+2) = x^2 + 4x + 4 + 3x + 6 +1
- f(X+2) = x^2 +7x +11
Answer:
Step-by-step explanation:
x2+3x+1
f(x+2)= 2x+3x+1
=5x+1
Just #19. I don’t know how to solve. Please help me solve. I need steps with the numbers. I will give brainliest.
Answer:
In 2x[tex]\geq[/tex]8 the answer is: x[tex]\geq[/tex]4
Step-by-step explanation:
If we look at the 2x[tex]\geq[/tex]8, we can easily solve it. We know that the [tex]\geq[/tex] symbol means greater than or equal to. If we go by greater than, it could be any number of numbers. However, we know that it is also possible equal. For this to be true, then whatever 2 is being multiplied by must possibly give a product of eight also. Because of this, we can use the knowledge that 2*4 equals 8. So we simply put it in. x must be greater than or equal four in order to make the statement true. Remember the greater to or equal than part. It could be more than four. We are just saying the minimum of x would be four.
In ΔFGH, g = 39 cm, h = 54 cm and ∠F=34°. Find the area of ΔFGH, to the nearest square centimeter.
Answer:
≈ 589 cm²
Step-by-step explanation:
area = 1/2 * 39 * 54 * sin34°
= 1/2 * 39 * 54 * 0.559194
= 588.83
≈ 589
You are playing a card game. If you pull an Ace you win $26, if you pull the King of hearts you win $204, if you pull a jack or a queen you win $13, all other pulls you lose. What price should you be charged to make this a fair game?
$5
$7
$6
$8
Using the expected value, it is found that a price of $6 should be charged to make it a fair game.
--------------------------
The game is fair if the expected value is 0.The expected value is given by each outcome multiplied by it's probability.A probability is the number of desired outcomes divided by the number of total outcomes.In a standard deck, there are 52 cards.
The cost of x.
There are 4 Aces in a standard deck, thus [tex]\frac{4}{52}[/tex] probability of earning 26 - x.
There is 1 King of Hearts in a standard deck, thus [tex]\frac{1}{52}[/tex] probability of earning 204 - x.
There are 4 Jacks and 4 Queens in a standard deck, thus [tex]\frac{8}{52}[/tex] probability of winning 13 - x.
The other 39 cards you lose, thus [tex]\frac{39}{52}[/tex] probability of losing x.
Considering we want the expected value to be 0.
[tex]\frac{4}{52}(26 - x) + \frac{1}{52}(204 - x) + \frac{8}{52}(13 - x) - \frac{39}{52}x = 0[/tex]
[tex]\frac{4(26 - x) + 204 - x + 8(13 - x) - 39x}{52} = 0[/tex]
[tex]104 - 4x + 204 - x + 104 - 8x - 39x = 0[/tex]
[tex]52x = 312[/tex]
[tex]x = \frac{312}{52}[/tex]
[tex]x = 6[/tex]
$6 should be charged.
A similar problem is given at https://brainly.com/question/24905256
Write an integer to represent spending $50
The integer that represents spending $50 is -50
help pls asap math problem
Answer:
PHOTO MATH KANALANG
Step-by-step explanation:
BAKA MERON ANS DON
Find the derivatives.
f ' (0) exists if the limit,
[tex]\displaystyle \lim_{h\to0}\frac{f(0+h)-f(0)}h[/tex]
exists, and f ' (0) has the value of this limit.
In order for this limit to exist, both limits from either side of h = 0 must exist.
Suppose h < 0. Then 0 + h is also negative, so by definition of f(x) we have
f (0 + h) = ((0 + h) + 1)² = h ² + 2h + 1
Then in the limit, if h is approaching 0, it must be from below or from the left:
[tex]\displaystyle \lim_{h\to0^-}\frac{f(0+h)-f(0)}{h} = \lim_{h\to0^-}\frac{(h^2+2h+1)-1}{h} = \lim_{h\to0^-}(h+2) = 2[/tex]
Now suppose h > 0, so that 0 + h is positive and h approaches 0 from above or from the right. Then
f (0 + h) = 2 (0 + h) + 1 = 2h + 1
and
[tex]\displaystyle \lim_{h\to0^+}\frac{f(0+h)-f(0)}h = \lim_{h\to0^+}\frac{(2h+1)-1}{h} = \lim_{h\to0^+}2 = 2[/tex]
Both one-sided limits match, so f ' (0) = 2.
The serving size for the granola that Ted likes to eat for breakfast is 3/4 cup. How many cups will he have eaten if he ate 3 servings? Show your work
Answer:
2 1/4
Step-by-step explanation:
3/4+3/4+3/4= 9/4 = 8/4 +1/4
=2 1/4
If x=0.8 and y=0.25, find y when x=0.125
Answer:
0.0390625
Step-by-step explanation:
by the equation then x=y*(16/5)
then when x=0.125 , y = 0.0390625
PLZZZ HELP!!!!!!!!!!!!!!!!!!!!!!
Harrison and Sherrie are making decisions about their bank accounts. Harrison wants to deposit $200 as a principal amount, with an interest of 2% compounded quarterly. Sherrie wants to deposit $200 as the principal amount, with an interest of 4% compounded monthly. Explain which method results in more money after 2 years. Show all work.
Answer:
HarrisonPrincipal P = 200Interest rate r = 2% = 0.02Number of compounds n = 4Time t = 2Total amount:
[tex]A = P(1+r/n)^{nt}=200*(1+0.02/4)^{4*2} = 208.14[/tex]SherriePrincipal P = 200Interest rate r = 4% = 0.04Number of compounds n = 12Time t = 2Total amount:
[tex]A = P(1+r/n)^{nt}=200*(1+0.04/12)^{12*2} = 216.63[/tex]As we see the second method is a better choice
Answer:
SHERRIE
- Princible P= 200
- Interest rate R= 4% or 0.04
- Number of compounds N= 12
- Time T= 2
HARRISON
- Princible P= 200
- Interest rate R= 2% or 0.02
- Number of compounds N= 4
- Time T= 2
Formula: A= P(1+r/n)^nt
Now plug in values for each person:
200(1+0.02/4)^4*2= 208.14
200(1+0.04/12)^12*2= 216.63
And as you can see, the second method (Sherrie's) is the best choice.
Step-by-step explanation:
Marcia needs to wrap a gift box that's 16 in x 18 in x 44 in.
How much wrapping paper will she need to cover the surface area of the box?
A) 1,784 in^2
B) 12,672 in^2
C) 6,336 in^2
D) 3,568 in^2
Answer:
B. 12,672 in^2
16 x 18 x 44 = 12672
Answer:
D.
Step-by-step explanation:
Find the value of x. The diagram is not to scale.
Given: angle SRT = angle STR, M Angle SRT = 20, m angle STU = 4x
In the given diagram, the value of x is 40
From the question,
we are given that
∠ SRT = ∠STR, and m ∠SRT = 20,
Also, from the question
m ∠STU = 4x
To determine the value of x,
From the diagram,
We can observe that
∠STR + ∠STU = 180° (Sum of angles on a straight line)
Since ∠ SRT = ∠STR, and m ∠SRT = 20,
Then,
∠STR = 20
Then,
∠STR + ∠STU = 180° becomes
20 + 4x = 180
To solve this,
First, subtract 20 from both sides
20 - 20 + 4x = 180 - 20
Then,
4x = 160
∴ x = 160 ÷ 4
x = 40
Hence, the value of x is 40
Learn more here: https://brainly.com/question/20707795
Answer:
Step-by-step explanation:
The answer is 40.
x=40
can yall help me with maths I will give you the brainlis something soo
i need help plz..................................
A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.12 for each minute of calls. Plan B costs $15 plus an additional $0.10 for
each minute of calls.
For what amount of calling do the two plans cost the
Same?
Answer:
250 minutes
Step-by-step explanation:
10 + 0.12x = 15 + 0.10x
0.02x + 10 = 15
0.02x = 5
x = 250
Your welcome!
Kayden Kohl
8th Grade Student
helen has a basket of apples. bob has 2/3 the amount of apples in his basket. if the difference in the amount of apples in their baskets is 9, find the amount of apples helen and bob have in their baskets. WILL GIVE BRAINLIEST IF CORRECT!
Answer:
Helen has 27 apples and Bob has 18.
Step-by-step explanation:
can u help solve for x 3(x-4)-12=2(x-6)+8
Answer:
[tex]{ \rm{3(x - 4) - 12 = 2(x - 6) + 8}} \\ \\ { \rm{3x - 12 - 12 = 2x - 12 + 8}} \\ \\ { \rm{3x - 24 = 2x - 4}} \\ \\ { \rm{3x - 2x = - 4 + 24}} \\ \\ { \rm{x = 20}}[/tex]
What is the graph of y <= 5x + 2?
Help help pelesse please
Answer:
450
Step-by-step explanation:
9×50=450
have a good day
3 Equivalent ratioS for 7:9
Answer:
21:27
14:18
35:45
Step-by-step explanation:
These are only a few
Please take a look at the picture.
The marked price of a table and six chairs is sh 10500. Kang’ori bought the set on hire purchase at sh 10815. (a) Express the extra amount of money he paid as a percentage of the market price. (b) If he paid monthly instalments of sh 1150 for 6 months, what deposit did he pay?
9514 1404 393
Answer:
(a) 3%
(b) sh 3915
Step-by-step explanation:
a) The extra amount is ...
10815 -10500 = 315
As a percentage of the marked price, this is ...
315/10500 × 100% = 3%
__
b) The total paid is the sum of the down payment and the monthly installments:
10815 = down + 1150×6
10815 -6900 = down . . . . . . . . . . subtract 1150×6 from both sides
down = 3915 . . . . . . . . . evaluate
The deposit paid was sh 3915.
From a random sample of 92 male students at Hope College, 8 were left-handed. Using the Theory Based Inference applet, determine a 99% confidence interval for the proportion of all male students at Hope College that are left -handed.
Answer:
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