Answer:
B) x = 7, y = 4[tex]\sqrt{2}[/tex]
Step-by-step explanation:
you can find the value of 'y' first by connecting the bases with another altitute measuring 4 units
you now have an isosceles triangle where each leg is 4 which makes the hypotenuse equal to 4[tex]\sqrt{2}[/tex]
to find 'x', it is the sum of 3 and 4
Use technology or a z-score table to answer the question.
The number of baby carrots in a bag is normally distributed with a mean of 94 carrots and a standard deviation of 8.2 carrots.
Approximately what percent of the bags of baby carrots have between 90 and 100 carrots?
23.3%
31.2%
45.5%
76.73%
Answer:
46% is the percent of the bags of baby carrots that have between 90 and 100 carrots
Step-by-step explanation:
The baby carrot is normally distributed.
z = (x - µ)/σ
x is equal to number of baby carrots
µ = mean
σ = standard deviation
Substituting the given values, we get -
90 ≤ x ≤ 100
z = (90 - 94)/8.2 = - 0.49
For z value of -0.49, the probability is 0.31
For x = 100
z = (100 - 94)/8.2 = 0.73
For z value of 0.73, the probability is 0.77
P(90 ≤ x ≤ 100) = 0.77 - 0.31 = 0.46
The percent of the bags of baby carrots having carrots between 90 and 100 carrots is 0.46 × 100 = 46%
Question 1 of 10
Which function results after applying the sequence of transformations to
Rx) = x5?
• compress vertically by
• shift left 2 units
• shift down 1 unit
O A. g(x) = }(x-2)5.1
O B. g(x) = + (x + 2,5-1
O C. g(x) = (3x+2)5-1
O D. g(x) = ž (x-1)5-2
HELP PLEASE ❗️❗️❗️❗️
Answer:
A (g(x) = }(x-2)5.1).
Step-by-step explanation:
The function which results after the sequence of transformations given is B. g(x) = 1/2 (x + 2)⁵ - 1.
What is Translation of Functions?Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.
There are horizontal translation and vertical translation of functions.
Given function is,
f(x) = x⁵
When a function is compressed vertically, then new function formed will be of the form, k f(x), where k is the factor that is compressed.
After compress vertically by 1/2,
f(x) changes to 1/2 f(x) = 1/2 x⁵
After the horizontal translation of 2 units to the left,
1/2 f(x) changes to 1/2 f(x + 2) = 1/2 (x + 2)⁵.
After vertical translation of 1 unit to the down,
1/2 f(x + 2) changes to 1/2 f(x + 2) - 1 = 1/2 (x + 2)⁵ - 1
Hence the correct option is B . g(x) = 1/2 (x + 2)⁵ - 1.
Learn more about Transformations of Functions here :
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-. For the event of rolling three standard fair 6-sided dice, find the following probabilities. Give all
answers as a simplified fraction.
The probability of rolling a sum of 8 or a sum of 12.
P(Sum is 8 u Sum is 12)
Answer:
23/108
Step-by-step explanation:
Remark
There are 6 * 6 * 6 = 216 ways that you can throw three dice. There are 21 different ways of throwing an 8There are 25 different ways of throwing a 12I'll list the eights. The 12s are done the same way.Ways of making Eight
116125134143152161215224233242251314323332341413422431512521611Answer
P(8) = 21 / 216
P(12) = 25/ 216
P(8 or 12) = 21/216 + 25/216
P(8 or 12) = 46/216 = 23/108
32614 round to nearest 100 place?
Answer:
32600
Step-by-step explanation:
Lillian has 26 counters. Bill has 9 times as many counters as Lillian. How many counters does Bill have?
Answer:
234 counters
Step-by-step explanation:
If Lillian has 26 counters, and Bill has 9 times as many counters. You can do 26 x 9 which gives you the answer 234. Therefore, Bill has a total number of 234 counters.
The number of the counters Bill will have are 234.
What is the relation?The connection between the two variables by making them one time to the other is called a relation.
If Lillian has 26 counters, and Bill has 9 times as many counters. You can do 26 x 9 which gives you the answer 234. Therefore, Bill has a total number of 234 counters.
Read more on relations follow
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please help I'll give brainliest
You are wrapping a cube shape present that is 1.5 feet tall. How much wrapping paper will you need to wrap the entire present?
the answer is going to be 6.0
Step-by-step explanation:
1.5 + 1.5 = 3
3 + 3 = 6
Rewrite by completing the square f(x) = x2 - 6x +43
Answer:
f(x) = (x - 3)^2 + 34
Step-by-step explanation:
For every 2 hours, approximately $1,186 worth of product is sold to consumers. How much money will the company for an entire month (30 days)?
I believe that the answer is $426,960.
I hope this helps!
Please help! I need help ASAP and the question is in the picture. I’m giving 35 points! PLEASE HELP ASAP
Answer:
36x
Step-by-step explanation:
I believe this should be the answer. I hope it helps.
Subtract -21 from 30
Answer:
-9
Step-by-step explanation:
yu subtract 21 from 30 and and just add a negative before the answer
help me asap please help me help thank you
Answer:
H
Step-by-step explanation:
Area of a square is given as 16 unit²
Since formula of square is
A=l²
16=l²
l=√16
=4
You are buying shoes online. The selling price is $29.99. The sales tax is 6.5% What is the total cost? Round to the nearest penny, if necessary. (Answer $31.94)
The cost of shipping is 15% of the total cost. What is the total cost plus shipping?
$36.73
(Use the questions/answers above to help solve this below)
If the total cost plus shipping is greater than $35, then you receive a 10% discount off the original selling price. Do you qualify? If so, what is the new total cost plus shipping?
Ethan earns $41.25 in five hours. Oliver earns $30.00 in four hours. Fabianna's hourly rate is less than Ethan's, but more than Olver's. What is her hourly rate?
$7.35
$8.25
$7.75
$6.50
Answer:
7.75
Step-by-step explanation:
41.25 divided by 5 is 8.25
30 divided by 4 is 7.5
7.75 > 7.5 but 7.75 < 8.25
I hope this helps!
Write the equation of a sine function that has the following characteristics.
Amplitude: 7 Period: 9π Phase shift: 1/4
Type the appropriate values to complete the sine function.
Answer:
[tex]\boxed{ \displaystyle y = 7\sin\left(\frac{2}{9}x-\frac{1}{4}\right)}[/tex]
Step-by-step explanation:
we want to figure out the equation of a sine function that has the following characteristics.
Amplitude: 7Period: 9π Phase shift: 1/4the standard form of sine function is given by
[tex] \displaystyle y = a\sin(bx-c)+d[/tex]
where:
a is the amplitudeb can be sorted out using the equation 2π/b=periodC refers to phase shiftFinding a and phase shift:
a and c is simply given which is
a=7C=¼finding b:
using the equation we acquire:
[tex]\dfrac{2\pi}{b}=9\pi[/tex]
solving the equation for b,we obtain:
b=2/9
finding d:
Since d Isn't mentioned, we would assume it 0
finding the equation:
substitute what we got:
[tex]\boxed{ \displaystyle y = 7\sin\left(\frac{2}{9}x-\frac{1}{4}\right)}[/tex]
and we're done!
Y(2.5+7)+y-2
10.5y-2
Answer:
−200y − 2
Step-by-step explanation:
y(2.5 + 7) + y −210.5y − 2
=9.5y + y + −210.5y + −2
=(9.5y+ y + −210.5y) + (−2)
−200y − 2
Mark me brainllest
adadaadadadadadadadad
Answer:
I think B and D
Step-by-step explanation:
I’m not 100% sure tho
please help quick please
Answer:I need help with the same thing.
Step-by-step explanation:
Answer:
I want to say it is b but yeah not sure.
hope I am right
Nancy uses her $10 allowance to buy a dress. She got $2 bills and 2quarters in change. what was the price of the dress???
Answer:cdjbskbbN
Step-by-step explanation:2 2/4
Answer:
$7.50
Step-by-step explanation:
10 - 2.50 = 7.50
What is 12% of 36 plz help
Answer:
12% of 36 is 4.32
(4) A sign on the road says: "Speed limit, 60 mph." Let s be the speed of a car. Choose the correct inequality that matches the information on the sign. the answers are= s<60 , s=60 , s<60 , s>60
Step-by-step explanation:
Choose the correct inequality that matches the information on the sign. the answers are
s<60
An education researcher would like to test whether 2nd graders retain or lose knowledge during the summer when they are presumably not in school. She asks nine 2nd graders to take a comprehension exam at the end of the school year (May), and then asks those same students to come back after the summer (late August) to retake a different but equivalent exam, to see if their level of comprehension has changed. Using the data below, test this hypothesis using an alpha level of .05.
May August
90 100
65 80
78 92
50 60
89 90
92 98
75 70
90 96
65 87
a) What is the appropriate test? Is it a one or two tailed test?
b) State the null hypothesis (in words and using means).
c) State the alternative hypothesis (in words and using means).
d) Find the critical value.
e) Calculate the obtained value by hand. What does your decision mean?
Answer:
See step by step explanation
Step-by-step explanation:
From the problem statement, we understand that we need to investigate if 2nd graders RETAIN OR LOSE knowledge comparing information concerning two different months, therefore we are going to find out if the information gives us enough evidence of a difference in the two groups
a) The test should be a two tail-test
Sample sizes are small ( n₁ = n₂ = 9 ) which means we have to use t-student test
b and c) Test Hypothesis:
For Null Hypothesis H₀, we establish that the two means are equal, which in this case means that the two samples´ means are equal. And as Hypothesis alternative Hₐ that the H₀ is not true, or that the samples mean are different.
Null Hypothesis H₀ x₁ - x₂ = 0 or x₁ = x₂
Alternative Hypothesis Hₐ x₁ - x₂ ≠ 0 or x₁ ≠ x₂
d) Significance level α = 0,05 then α/2 = 0,025
then t(c) with α/2 = 0,025 and degree of freedom
df = n₁ + n₂ - 2 df = 9 + 9 -2 df = 16
From t s-tudent table we find t(c) = 2,12
e) Calculating:
x₁ and σ₁
x₂ and σ₂
σₓ = [ ( n₁ - 1 )* σ₁² + ( n₂ - 1 )*σ₂² ]/ n₁ + n₂ - 2
Using a calculator:
x₁ = 77,11 σ₁ = 13,86
x₂ = 85,89 σ₂ = 12,74
σₓ = [ ( 8*(13,86)² + 8*( 12,74 )² ] / 16
σₓ = (8* 192,1) + 8* ( 162,31) / 16
σₓ = (1536,8 + 1298,48 ) / 16
σₓ = 177,205
t(s) = ( x₁ - x₂ ) /√ σₓ²/ n₁ + σₓ²/ n₂
t(s) = ( 77,11 - 85,89 )/ (177,205)²/n₁ + (177,205)²/n₂
t(s) = - 8,78 / √3489,07 + 3489,07
t(s) = -8,78 / 83,54
t(s) = - 0,11
Comparing t(s) and t(c)
|t(s)| < |t(c)|
0,11 < 2,12
t(s) is in the acceptance region. We accept H₀
A 6-sided die rolled twice. Let E be the event the first roll is a 5 and F the event "the second roll is a 5".
(a) Are the events E and F independent? |
Input Yes or No: Yes
(b) Find the probability of showing a 5 on both rolls. Write your answer as a reduced fraction.
Answer:
What is the average rate of change for f(x) = 2x - 4 over the interval 2 Sxs 6?
A)
8
B)
10
C)
15
D)
18
Answer:
8 i think i hope it helps
good night
How many miles will light travel in one day if the speed of light is 300,000,000 meters per second.
(1.62 km = 1 mi)
Answer:
[tex]d=1.61\times 10^{10}\ miles[/tex]
Step-by-step explanation:
Given that,
The speed of light, v = 300,000,000
eWe need to find the distance light travel in 1 day. We know that,
1 day = 86400 seconds
Distance = speed × time
So,
[tex]d=3\times 10^8\times 86400[/tex]
[tex]d=2.592\times 10^{13}\ m[/tex]
or
[tex]d=0.001610\times 10^{13}\\\\d=1.61\times 10^{-3}\times 10^{13}\\\\d=1.61\times 10^{10}\ miles[/tex]
So, the required distance is equal to [tex]1.61\times 10^{10}\ miles[/tex].
'All factors of 70 are even numbers.'
Is he correct?
Ores
Yes
No
No
Explain your answer.
Answer:
No
Step-by-step explanation:
70 is divisible by 5. 5 is not an even number.
Answer:
No
Step-by-step explanation:
The factors of 70 are 1, 2, 5,7,10, 14, 35, and 70. the even numbers are 2, 10,14, and 70. but there are odd numbers, like 1, 5, 7, and 35. And since we know there are odd factors, the answer is No. 70 has even AND odd factors.
What is the absolute mean deviation of this data?
1, 2, 3, 3, 4,5, 6, 8
Answer:
4/1/7 ( 4 and 1 over 7)
Step-by-step explanation:
First add all the numbers
1+2+3+4+5+6+8= 29
Finally you divide the total by counting the numbers which you have add up
29÷7
= 4/1/7 ( 4 and 1 over 7)
Mark me as the brainiest answer
Answer:
Step-by-step explanation:
1. Mean
1 + 2 + 3 + 3 + 4 + 5 + 6 + 8= 32
32/ how many numbers there are
32/ 8 . = 4
Mean = 4
1 2 3 3 4 5 6 8
3 2 1 1 0 1 2 4
3 + 2 + 1 + 1+0 + 1 + 2+ 4 =14
14/how many numbers there are
14/8 = 7/4 or in mixed form 1 3/4
evaluate (11.6)^2 by using (a^2+b^2+2ab)
Answer:
[tex]134.56[/tex]
Step-by-step explanation:
Break 11.6 into addenda.
[tex](11 + 0.6)[/tex]
Apply the binomial expansion method.
[tex](11 + 0.6)(11 + 0.6)[/tex]
[tex]11 {}^{2} = 121[/tex]
[tex]2(11)(0.6) = 13.2[/tex]
[tex]0.6 {}^{2} = 0.36[/tex]
Add them all up and you get.
[tex]134.56[/tex]
If x= 10 which lines are parallel? Check all that apply. (8x - 25) b (12x - 5) (7x - 5) (10x + 15) a
Answer:
150 A
Step-by-step explanation:
THIS THE ANSWER
I HOPE IT HELPS
Heavy general purpose trucks are often used in pipeline operations. They are built to hold up when carrying or pulling substantial loads, and yet still be suitable for regular highway use. A new truck with appropriate options is purchased for $47,000. It is estimated to have a useful life of 5 years and a salvage value of $2,900 at that time.
Required:
Develop a table showing the depreciation.
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Purchase price= $47,000
Salvage value= $2,900
Useful life= 5 years
To calculate the annual depreciation, we need to use the following formula:
Annual depreciation= (original cost - salvage value)/estimated life (years)
Annual depreciation= (47,000 - 2,900) / 5= $8,820
The accumulated depreciation is calculated as follow:
Accumulated depreciation= years of depreciation*annual depreciation
For year 4:
Accumulated depreciation= 8,820*4= $35,280
Finally, the book value is:
Book value= purchase price - accumulated depreciation
Year Annual depreciation Accumulated depreciation Book value
1 8820 8820 38180
2 8820 17640 29360
3 8820 26460 20540
4 8820 35280 11720
5 8820 44100 2900
I need help figuring this out, thank you! :)
Answer: 8
Step-by-step explanation:
5*6/2=15120/15=8