Answer:
1.50° 2.65°
Step-by-step explanation:
let x be the unknown angle
1. 32+98+x=180(sum of angles in a ∆ equal to 180°)
130+x=180
x=180-130
x=50°
2. 25+90+x=180
115+x=180
x=180-115
x=65°
Can you do number 65 a and b? Ill give you brainliest
Answer:
a is 10 and b is 100
Step-by-step explanation:
(a)- if you take 10 to the tenth power you'll get 100
(b)- if you take 100 to the 100th power you'll get 10,000
Sylvia’s burgers cooks it’s burgers either well done or medium. The restraint served 52 burgers last night, 25% of which were well done. How many well-done burgers did the restaurant serve?
Answer:
Well it’s asking to find 25 percent of 52
So in order to find this you can multiply 52 by 0.25
When done you should get 13
13 well done burgers were served
Halloween Candy Halloween is Kelly's favorite holiday of the year! Based on experience, Kelly knows that on average, each house gives him about 4 candies with a standard deviation of 1.5 candies. Each year Kelly visits 35 random houses in his neighborhood. Let X be the total number of candies Kelly will receive from his visits. Last Halloween, Kelly got 122 candies. Approximate the probability that the total number of candies Kelly will receive this year is smaller than last year.
Using the normal distribution and the central limit theorem, it is found that there is an approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.
Normal Probability Distribution
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, for n instances of a normal variable, the mean is [tex]n\mu[/tex] while the standard deviation is [tex]s = \sigma\sqrt{n}[/tex].In this problem:
Mean of 4 candies, hence [tex]\mu = 4[/tex].Standard deviation of 1.5 candies, hence [tex]\sigma = 1.5[/tex].She visited 35 houses, hence [tex]n = 35, \mu = 35(4) = 140, s = 1.5\sqrt{4} = 3[/tex]The probability is the p-value of Z when X = 122, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{122 - 140}{3}[/tex]
[tex]Z = -6[/tex]
[tex]Z = -6[/tex] has a p-value of 0.
Approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.
A similar problem is given at https://brainly.com/question/24663213
What is the slope of this line? y=−1/3x+1/4 −1/3 1/4 1/3 I don't know.
Answer:
Step-by-step explanation:
how many students scored already 76 on the test.
Answer:
760
Step-by-step explanation:
Make me brainliest
please
9 students scored a 76 on the test :)
Please help :(
5. In a simple random sample of 120 women and 150 men from
a population of 150,000, 25% of the women and 37% of the men
are smokers. Suppose you are interested in comparing the
proportion of smokers by sex, do we accept or reject the null
hypothesis of assuming the smoking proportions of women and
men are the same with a .15?
Using the z-distribution, it is found that since the absolute value of the test statistic is greater than the critical value, the null hypothesis is rejected.
At the null hypothesis, we test if the proportions are the same, that is, their subtraction is 0, hence:
[tex]H_0: p_1 - p_2 = 0[/tex]
At the alternative hypothesis, it is tested if they are different, that is, their subtraction is not 0, hence:
[tex]H_1: p_1 - p_2 \neq 0[/tex]
The proportions and their respective standard errors are given by:
[tex]p_1 = 0.25, s_1 = \sqrt{\frac{0.25(0.75)}{120}} = 0.0395[/tex]
[tex]p_2 = 0.37, s_2 = \sqrt{\frac{0.37(0.63)}{150}} = 0.0394[/tex]
For the distribution of the difference, the mean and the standard error are given by:
[tex]\overline{p} = p_2 - p_1 = 0.37 - 0.25 = 0.12[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0395^2 + 0.0394^2} = 0.0558[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
In which [tex]p = 0[/tex] is the value tested at the null hypothesis.
Hence:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
[tex]z = \frac{0.12 - 0}{0.0558}[/tex]
[tex]z = 2.15[/tex]
The critical value for a two-tailed test, as we are testing if two values are different, with a significance level of 0.15 is [tex]|z^{\ast}| = 1.4395[/tex].
Since the absolute value of the test statistic is greater than the critical value, the null hypothesis is rejected.
A similar problem is given at https://brainly.com/question/25676691
Please help me if you can
Answer:
d,e,f
Step-by-step explanation:
Answer:
Linear:
A, C, F
Not Linear:
B, D, E
One of the legs of a right triangle measures 19cm and the other leg measures 6
cm. Find the measure of the hypotenuse. If necessary, round to the nearest
tenth.
9514 1404 393
Answer:
19.9 cm
Step-by-step explanation:
The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the legs.
h² = 19² +6² = 361 +36 = 397
h = √397 ≈ 19.9
The measure of the hypotenuse is about 19.9 cm.
The maximum weight that a circular column can hold is inversely proportional to the square of its height. If an 8 foot column can hold 2 tons, find how much weight a 10 foot column can hold.
Answer: 3 tons
Step-by-step explanation: first I figured out how much 2 tons was which is 4000 pounds and then I divided 4000 by 8 which told me that each foot can hold 500 pounds So then I just did 500×10 which is 5000 pounds which is 3 tons
If an 8-foot column can hold 2 tons, then a 10-foot column can hold 1.28 tons.
What is proportion?Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, The maximum weight that a circular column can hold is inversely proportional to the square of its height.
∴ w ∝ 1/h² or w = k(1/h²).
An 8-foot column can hold 2 tons which is,
2 = k(1/8²).
2 = k(1/64).
k = 128.
Now, 10 feet column can hold,
w = 128(1/10²).
w = 128/100.
w = 1.28 tons.
learn more about proportion here :
https://brainly.com/question/7096655
#SPJ5
In the middle school debate club, 30% of the members are in sixth grade. If there
are 12 sixth graders in the debate club, how many total members are there in 100%?
Answer:
40
Step-by-step explanation:
Answer:
40
30%= 12 sixth graders
10%= 12/30×10%
=4
4 ×7(7 as in 70% percent)
=28
28+12=40
Sonia's check at Aubrey's Kitchen is $14.25. In order to leave a 10% tip, how much should she pay? Round to the nearest cent.
Answer:
Nearest cent- $1.43
Step-by-step explanation:
14.25x0.10=1.425
Help me (;_;)I’m
Offering a good amount of points and I’ll mark you brainliest too
Answer:
hope this helps :)
Step-by-step explanation:
A. 485
B. 525
C. 700
D. 750
Which expressions are equivalent to 3 (6e + 4) + 8 (e + 2) + 6e ? Select all that apply.
A.28 + 32e
B.2e+5(6e+4)+24
C.4(8e+28)
D.23e + 28
E.4(8e+7)
Answer:
28+32e and 4 (8e+7)
Step-by-step explanation:
I did the quiz
The expressions equivalent to 3 (6e + 4) + 8 (e + 2) + 6e are : 4(8e + 7) And 28 + 32e
What are equivalent expressions?Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions. To derive equivalent expressions of some expressions, we can either make it look more complex or simple. Usually, we simplify it.
Given the expression as;
3 (6e + 4) +8 (e + 2) + 6e.
Expand the brackets ;
18e + 12 + 8e + 16 + 6e
Now Collect like terms together and simplify;
=18e + 8e + 6e + 12 + 16
=32e + 28
=28 + 32e
Then factorizing the result, we have;
32e + 28 = 4(8e + 7)
The expressions equivalent to 3 (6e + 4) + 8 (e + 2) + 6e are : 4(8e + 7) And 28 + 32e
Learn more about expression here;
https://brainly.com/question/14083225
#SPJ2
what decimal number is halfway between 7 and 8?
2) John made $55,000 in 2007, but his income decreased by 17% in 2008 due to the recession. What was his 2008
income?
=======================================================
Explanation:
A decrease of 17% means that he made 100% - 17% = 83% of what he did last year.
83% = 83/100 = 0.83
83% of $55,000 = 0.83*55000 = 45,650 dollars
Plz solve 8b .. i am confused. I will mark you as brainly
Answer:
(See attached file)
what’s the easiest way to do a division question in your head?
Answer:
Put the number being divided over the dividend as a fraction.
Step-by-step explanation:
Answer:
Here are a few useful simplified division tips: If the dividend and divisor are both even numbers, try dividing them first by 2. For example, if you've got to divide 196/22, divide them by 2 first. When you have 98/11, you'll find it easier to figure out the rest of it with the smaller numbers.
Step-by-step explanation:
More Divide by Number Tricks
Divide by 1 - Anytime you divide by 1, the answer is the same as the dividend.
Divide by 2 - If the last digit in the number is even, then the entire number is divisible by 2.
Divide by 4 - If the last two digits divide by 4, then the entire number is divisible by 4.
What is the perimeter?
Answer:
68
Step-by-step explanation:
All sides of a rhombus are equal.
Question 10 Express 40 as a product of prime factors
Answer:
2 x 2 x 2 x 5
Step-by-step explanation:
The first few prime numbers: {2, 3, 5, 7, 11, 13, 17, 19}
One way to start is to divide by the first prime until you can't do that any more, then try the next prime and so on until all the numbers in your list are prime.
40 = 2(20) divide 20 by 2 again
40 = 2(2)(10) divide 10 by 2 again
40 = 2(2)(2)(5) stop--all factors are prime.
A camera has a listed price of $844.99 before tax. If the sales tax rate is 6.75%, find the total cost of the camera with sales tax included Round your answer to the nearest cent, as necessary.
Answer:
$597.78
Step-by-step explanation:
$559.98 * 6.75% = 37.798 = 37.80
$559.98 + 37.80 =$597.78
Can you solve this using l'hospital?
Answer:
Ooh my god sooo difficult
question is attached above
F
к
ча
ц°
Н
1
J
how are they similar?
Answer:
letters temperature/angle and the number 1? is this something my brain hasnt figured out yet??
Step-by-step explanation:
what
Find the missing value in the ratio table.
Answer:
5
Step-by-step explanation:
10/2=5
6/3=2
20/10=2
Please give me width and height
Answer:
i believe the answer is 341 hope this helps
2x+5 divided by 8x3+22x²+ 15x+25
if any doubt leave a comment
1/4 + 1/8 = ?
Add. Simplify your answer.
Answer:
3/8
Step-by-step explanation:
1/4 = 2/8
1/8 + 2/8= 3/8
3/8 is simplified
You paint 13 of a wall in 14 hour. At that rate, how long will it take you to paint one wall?
Step-by-step explanation:
Wall painted = 13
Time = 14 hour
Av = 14/13 hour
I take 14/13 hour to paint one wall
Answer:
It will actually be 3/4 hours
Step-by-step explanation:
Pre college need help
Answer
-5x+7y = 0
Explanation
Answer:
[tex] - 5x + 7y = 0 \\ \\ is \: the \: answer[/tex]
Multiply and fully simplify please show work please
STEP1:
Simplify
[tex] \frac{x + 4}{x - 2} \\ [/tex]
Equation at the end of step1:
[tex] \frac{ ((x {}^{2} ) - 4) }{x} \times \frac{(x + 4)}{x - 2} \\ [/tex]
Factoring: x2 - 4
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A² - AB + BA - B² =
A² - AB + AB - B² =
A² - B²
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 4 is the square of 2
Check : x2 is the square of x1
Factorization is : (x + 2) • (x - 2)
Polynomial Long Division :
2.2 Polynomial Long Division
Dividing : x + 2
("Dividend")
By : x ("Divisor")
dividend x + 2
- divisor * x⁰ x
remainder 2
Quotient : 1
Remainder : 2
Equation at the end of step 2:
[tex] \frac{(x + 2) \times (x - 2)}{x} \times \frac{(x + 4)}{x - 2} \\ [/tex]
Cancel out (x-2) which appears on both sides of the fraction line.
Final result :
[tex]⇒ \frac{(x + 2) \times (x + 4)}{x} \\ [/tex]