Answer:
Step-by-step explanation:
complementary angles sum to 90°
Let angle 1 = x
angle 2 = 3x - 8
3x - 8 + x = 90
4x = 98
x = 24.5°
3(24.5) - 8 = 65.5°
or
90 - 24.5 = 65.5°
Which property of multiplication is shown? 3 * (5 * 7) = (3 * 5) * 7
Answer:
the associative property
Answer:
It is the associative property of multiplication
Step-by-step explanation:
It is generally expressed as
(ab)c=a(bc)
3*(5*7)=(3*5)*7
105=105
Regular consumption of presweetened cereals contributes to tooth decay, heart disease, and other degenerative diseases, according to studies conducted by Dr. W. H. Bowen of the National Institute of Health and Dr. J. Yudben, Professor of Nutrition and Dietetics at the University of London. In a random sample consisting of 20 similar single servings of Alpha-Bits, the average sugar content was 11.3 grams with a standard deviation of 2.45 grams. Assuming that the sugar contents are normally distributed, construct a 95% confidence interval for the mean sugar content for single servings of Alpha-Bits.
Using the t-distribution, the 95% confidence interval for the mean sugar content for single servings of Alpha-Bits is (10.15, 12.45).
In this problem, we have that:
Sample of 20, thus [tex]n = 20[/tex].Sample mean of 11.3 grams, thus [tex]\overline{x} = 11.3[/tex].Sample standard deviation of 2.45 grams, thus [tex]s = 2.45[/tex].The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
First, we find the number of degrees of freedom, which is one less than the sample size, thus df = 19.
Now, we have to find the critical value for a 95% confidence interval with 19 df, thus, looking at the t-table or using a calculator, t = 2.093.
Then:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 11.3 - 2.093\frac{2.45}{\sqrt{20}} = 10.15[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 11.3 + 2.093\frac{2.45}{\sqrt{20}} = 12.45[/tex]
The interval is (10.15, 12.45).
A similar problem is given at https://brainly.com/question/24232455
F(x)=-(-1)^2+ 2(-1)-1
Answer:
f(x)=-4
I recommend this math site that could help you with these kind of problems
M
A
T
H
W
A
Y
.
C
O
M
Step-by-step explanation:
find the y-intercept y= -3/5x-1
The satay in of a line is written as y = slope(x) + y intercept.
In the given equation the y-intercept is -1
A baseball game has a total
Answer:
The first statement is correct. only the team pitching has to make the 3 outs and once they do they switch positions
Step-by-step explanation:
the team pitching cannot score and once the batting team gets 3 outs then they switch positions, all the way until the end of the 9th inning
A person's heart beats 200 times in 3 minutes. How many times will it beat in an hour (remember...60 minutes in an hour) ?
200 times / 3 minutes = x times / 60 minutes
3x = 12000
x = 4000 times in an hour
A person's heart will beat 4000 times in an hour.
Hope this helps!! :)
Answer: 4000 beats per hour
Step-by-step explanation:
200 beats X 60 minutes
3 minutes 1 hour
The term 'minutes' cancel out therefore you are left with beats per hour
200 x 60 = 12000 = 4000 beats per hour
3 3
Simplify.
- 2x - } – 5x + i + x
-
х
-
17/3
-
3
+
10
х
Enter your answer in the box.
Do not use decimals in your answer.
Step-by-step explanation:
Evaluate:
-[-1⅘ ÷ 0.3(1.2)] - 5/6
⇛-[- 20/5 ÷ 0.3(1.2)]-5/6
⇛- [-20/5 ÷ 0.36] - 5/6
⇛-[-20/5 ÷ 36/100] - 5/6
Here I have changed in expression decimal point into fraction by putting 100 in Denominator.
⇛-[-20/5 × 100/36] - 5/6
⇛-[(-20 × 100)/(5×36)] - 5/6
⇛-[-2000/180]-5/6
Remember (-) × (-) = +.
⇛2000/180 - 5/6
Now, LCM of the denominator 6 and 180 is 180.
⇛(2000 - 150)/180
⇛1850/180
Now, reduce the fraction by extracting and cancaling out by 2.
⇛825/80
Again reduce the fraction by extracting and cancaling out by 5.
⇛165/16 Ans.
Hope this helps!!
Increase £2193.67 by 8.5% Give your answer rounded to 2 DP.
Answer:
£2380.13
Step-by-step explanation:
An increase of 8.5% is 100% + 8.5% = 108.5% = 1.085 , then
£2193.67 × 1.085 = £2380.13 ( to 2 dec. places )
Sarah is buying some school clothes.
She found a sweater she likes that costs $18.85 and some t-shirts that are on sale for $4 each.
She got several t shirts of different colors and spent a total of $54.85.
Which equation describes the situation where x is the number of t shirts?
Which of the following is the graph of y=sqrd-x-3?
___________
[tex] \: [/tex]
y = [tex]\sqrt{-x - 3}[/tex]
graph in picture!
the correct written expression for: (9 x 5) + (24 - 9).
Answer:
Step-by-step explanation:
= 45+ 15
=60
pls help i am in k12
What is the slope of Car A’s graph? What does it mean?
(b) What is the slope of Car B’s table? What does it mean?
Suppose 1.5 liters of water come out of a faucet each minute. For how many minutes was the faucet on if 18.6 liters of water came out?
Answer:
It was on for 12.4 minutes
Step-by-step explanation:
Answer:
12.4
Step-by-step explanation:
rate of water = 1.5x
x = amount of time
18.6 = 1.5x
x = 12.4
Please help what is 399/20 simplified
Answer:
19 19/20 in fraction
19.95 as a decimal
Step-by-step explanation:
Answer:
19 and 19/20
Step-by-step explanation:
The bar in a fraction stands for dividing
so you divide 399 by 20 which is 19 and 19 remainder
you turn the remainder into a fraction and the number into a whole number
A grocery store stocks shelves with 100 cartons of strawberries before the store opens. For the first 3 hours the store is open, the store sells 10 cartons per hour. Over the next 2 hours, no cartons of strawberries are sold. The store then restocks 10 cartons each hour for the next 2 hours. In the final hour that the store is open, 20 cartons are sold. Graph the function.
in a set of 5 numbers the average of two is 12 the average of the other 3 is 7 what is the average of all five numbers. (fraction or whole number)
Answer:
The average of all 5 numbers is 9
Step-by-step explanation:
Two of the numbers average 12. That means that their total is 2*12 = 24
Three of the other numbers average 7. That means that their total is 7*3 = 21
The total score for the 5 numbers is 24 + 21 = 45
The average for all 5 numbers is 45/5 = 9
is 78.50 is the same as 78.5
Answer:
yes, 78.50 is the same as 78.5Step-by-step explanation:
You can consider 78.50 as 78.5, cause we basically remove the 0 from it. The whole point is, they are both the same.
Hello there!
Yes, 78.50 is the same as 78.5 because you can remove the 0 and the numbers will be identical.
Hope this helps!
~Just a joyful teen
[tex]SilentNature\\(GraceRosalia)[/tex]
Please help. I will give brainly. Thank you
Answer:
1.
a = 1.96
( 1.4 x 1.4)
b= 3750
c= 1/48
2.
a= 2?
dont take my word on that but here.( An arithmetic sequence is any list of numbers that differ, from one to the next, by a constant amount. For example, the list of even numbers, 0,2,4,6,8… is an arithmetic sequence, because the difference from one number in the list to the next is always 2.[1] If you know you are working with an arithmetic sequence, you may be asked to find the very next term from a given list. You may also be asked to fill in a gap where a term is missing. Finally, you might want to know, for example, the 100th term, without actually writing out all 100 terms. A few simple steps can help you do any of these.
b= 3
c= 16-4a
( IM NOT SO CONFIDENT ABOUT 2)
3.
a= 17
b= ( 2squared - 1)
Step-by-step explanation:
Answer:
thank you for the points bozzo
The sum of a number (m) and 15 is 80. Which equation shows this relationship
Answer:
m+15=80
Step-by-step explanation:
A number plus 15 = 80
m + 15 =80
Please help out with this question
Step-by-step explanation:
5⁴+5³-6(5)²-5(5)-15
= 560
If a = -3, find the value of (the 2 on b and c is squared) a) 2a b) a2 c) 3a2
Answer:
4, -4, 36
Step-by-step explanation:
a) a*2 = -2*-2 = 4
b) a^2 = -2^2 = -4
c) a*3^2= 3*-2^2 = -36
What is the midpoint of the line segment from (5,-2) to (1,-5)?
Answer:
(3, -3.5)
Step-by-step explanation:
Using midpoint formula:
M = (x1 + x2/2 , y1 + y2/2)
By inserting the points you'll find the answer:
M = (5 + 1/2 , -2 + -5/2)
M = (6/2 , -7/2)
M = (3 , -3.5)
3 ice cream cones cost $ 8.25
At this rate , how much do 2 ice cream cones cost ?
Answer:
The cost of 2 icecream cones is $5.50. Given data: Price of 3 icecream cones is $8.25. 1 icecream come = $(8.25÷3) =$ 2.75.
Step-by-step explanation:
Answer:
5.50
Step-by-step explanation:
8.25 divided by 3 =2.75
Then take 2.75 and multiply it by 2 and you get your answer which is 5.50
Please answer this math riddle for me ASAP!!! please
I am a four-digit number. My first number has no use because the number would be the same without it. My second and third numbers are mirror images and my fourth number is half of my second number.
Answer:
0884
Step-by-step explanation:
If a small boy in 30 days saved 1.00 to spend how much did he save each day
Answer:5 Penny's everyday for thirdy days
Step-by-step explanation:
A pillar is fixed at one of the corners of a square meadow. The length of each edge of the meadow is 30m and the angle of elevation of the top of the pillar from the opposite comer is found 60°. Find the height of the pillar.
(A) 93.49 m (B) 83.48 m (C) 69.93 m (D) 73.48m
Answer:
D. 73.48 m.
Step-by-step explanation:
The diagonal distance across the meadow
= √(30^2+30^2)
= √1800
tan 60 = h / length of the diagonal (where h = height of the pillar).
h = √1800 * tan 60
= 73.48 m
The required height of the pillar if length of each edge of the meadow is 30m and the angle of elevation of 60 degrees is 73.48m
Angle of elevation and depressionThe angle situated below the pillar is known as the angle of elevation
Determine the diagonal distanceThe diagonal distance across the meadow is calculated using the Pythagoras theorem:
l = √(30^2+30^2)
l = √1800
tan 60 = h/l
where h = height of the pillar
h = √1800 * tan 60
h = 73.48 m
Hence the required height of the pillar if length of each edge of the meadow is 30m and the angle of elevation of the top of the pillar from the opposite comer of 60 degrees is 73.48m
Learn more on angle of elevation here: https://brainly.com/question/25748640
Can someone pls help me plsss
Answer:
the first one
Step-by-step explanation:
1/2 and 1/5 common denominator is 10
1.0286 as a fraction
Answer:
1 143 /5000
Step-by-step explanation:
Answer fast please!!!!
Answer:
6z + 9
Step-by-step explanation:
distribute 3/4 by 8z to get 6z
distribute 3/4 by 12 to get 9
(Pre calc) I only need to do part A i would love to have some help I will make it 120 Points
Answer:
The domain should be X
Step-by-step explanation:
I'm a bit unsure but I think it's correct
