Solve the equation and find the number. The sum of five and three times a number is 83
9514 1404 393
Answer:
26
Step-by-step explanation:
If the number is represented by n, then 3 times the number is 3n. The sum of that and 5 is 83:
5 + 3n = 83
3n = 78 . . . . . . subtract 5
n = 26 . . . . . . . divide by 3
The number is 26.
assuming the growth rate stays constant at 1.2%, how many doublings would take place in a 500- year period?
9514 1404 393
Answer:
8.6
Step-by-step explanation:
The growth factor per year is 1.012, so in 500 years is ...
1.012^500
The number of doublings is the solution to ...
2^n = 1.012^500
Taking logarithms, we have ...
n·log(2) = 500·log(1.012)
n = 500·log(1.012)/log(2) ≈ 8.6046
About 8.6 doublings will take place in 500 years.
A person places a bet on the coin toss at the start of the Super Bowl. If the coin comes up HEADS you WIN $100. If the coin comes up TAILS you LOSE $110. What is the person's expected value of making this bet
Answer:
- 5
Step-by-step explanation:
Probability of a coin toss : (H, T)
With probability of 0.5 each
X : ____100 ____ - 110
P(x) :___ 0.5 ____ 0.5
Expected value ; E(X) = ΣX*p(X)
E(X) = (100 * 0.5) + (-110 * 0.5)
E(X) = 50 - 55
E(X) = - 5
Expected value = - 5
Which is equivalent to sqrt x^10
A. X-5
B. X -1/5
C. X sqrt 10
D. X 1/5
E. X^5
[tex]\sqrt{x^{10}} = x^5[/tex]
=====================================================
Explanation:
We simply take half of the exponent 10 to get 5. This applies to square roots only.
So the rule is [tex]\sqrt{a^b} = a^{b/2}[/tex]
A more general rule is
[tex]\sqrt[n]{a^b} = a^{b/n}[/tex]
If n = 2, then we're dealing with square roots like with this problem. In this case, a = x and b = 10.
Answer:
E
[tex] \sqrt{ {x}^{10} } \\ = \sqrt{ ({x}^{5} ) {}^{2} } \\ = {x}^{5} [/tex]
in. in What is the area of this trapezoid? b2 = 5 in. h = 4 in. 3 in. 2 in. b1 = 10 in.
Answer:
30 square inches
Step-by-step explanation:
The equation for the area of a trapezoid is: (b1 + b2) x h) / 2
(10 + 5) x 4) /2
15 x 4 = 60
60/2 = 30
30 square inches
find the product of 5/8 by the reciprocalof -3/8
Answer:
-5/3
Step-By-Step-Solution:
Reciprocal of-3/8 = -8/3
Product = 5/8 × -8/3 = -5/3
Hope that this helps!
What is the distance between the points (10, 2) and (14,5)?
Answer:
5
Step-by-step explanation:
We will solve using the Pythagorean theorem.
The difference in the x value is 4. The difference in the y value is 3. A nice, easy to remember, right angle triangle has sides of three, four, and a hypotenuse of five.
But we were lucky here that we could do this in our heads and from memory: 3² + 4² = 5²
The general formula would be:
distance² = (∆x)² + (∆y)²
distance = √[ (14-10)² + (5-2)² ]
= √[ 4² + 3² ]
= √[ 16 + 9 ]
= √[ 25 ]
= 5
what is (6)^-3×(6)^-3 using law of exponent?
Answer:
6^-6
Step-by-step explanation:
a^m*a^n = a^m+n
PLEASE HELP I will give Brainly to whoever answers !!!
Answer:
c
Step-by-step explanation:
There are 4 red marbles and 8 blue marbles in a bag. Mark draws a blue marble out of the bag and does not replace. then jake draws another blue marble out of the bag.
Now what are the probabilities of drawing another blue marble?
NEED ANSWER ASAP PLS!!!
Answer:
Probability will be 4 by 6
Grade 9 math plzz helpp a or b or c or d
Answer:
[tex]g(x) = 3^{x -4}[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 3^x[/tex]
g(x) = f(x) 4 units left
Required
Find g(x)
When a point is translated 4 units left, the rule is:
[tex]x \to x - 4[/tex]
So, we have:
[tex]g(x) = f(x-4)[/tex]
[tex]f(x-4)[/tex] is calculated as:
[tex]f(x-4) = 3^{x -4}[/tex]
Hence:
[tex]g(x) = 3^{x -4}[/tex]
leonard is flying kite he is holding the end of the string at distance of 1.2 m above the ground. if the string is 15 m how long and makes an angle of 40 degrees with the horizontal, how high is the kite above the ground?
Answer:
The kite is 10.8 m above the ground.
Step-by-step explanation:
Here we can make a triangle rectangle like the one shown in the graph below, where we want to find the value of the cathetus X, and that plus 1.2m will be the distance between the kite and the ground.
Notice that X is the opposite cathetus to the 40° angle, then:
We can use the relation:
Sin(θ) = (opposite cathetus)/(hypotenuse)
where, in our case, we have:
θ = 40°
hypotenuse = 15m
opposite cathetus = X
Replacing these in the equation, we get:
Sin(40°) = X/15m
Now we can solve this for X.
Sin(40°)*15m = X = 9.6m
And the actual height of the kite is X + 1.2m
Then:
H = 9.6m + 1.2m = 10.8m
The kite is 10.8 m above the ground.
The value of the correlation coefficient is always in the range
a. 0 to 1 b. 1 to 1 c. 1 to 0
Answer:
-1 to 1
Step-by-step explanation:
The correlation Coefficient gives the degree of relationship between two variables while also giving an hint about the type of relationship between them, (positive or negative). Correlation Coefficient could take any value bwuqwen - 1 and 1. With values closer to - 1 or 1 indicating a strong relationship between the variables, Coefficient of 0 means no relationship and a negative value means negative relationship while a positive value plies a positive relationship.
A surveyor asks people whether or not they support their senator's vote on a bill. Choose the type of data that is collected. Group of answer choices quantitative qualitative neither quantitative nor qualitative Not enough information is given
Answer:
Quantitative data
Step-by-step explanation:
The type of data collected when a surveyor asks people whether or not they support their senator's vote on a bill is "quantitative data."
Quantitative data is a type of research data that can be calculated, measured, and formulated using numbers. It is derived using quantitative research, which allows the researcher to gather and analyze data.
Hence, in this case, the surveyors will gather the data based on two groups, those that support the senator's bill and those against it. He will then compare the quantitative numbers gotten from each group.
Solve the missing elements for each problem. Use 3.14 for π. Area π r² ; C = π D
1. Radius = 32/2 = 16 inches
Diameter = 32 inches
Circumference = 3.14 × 32 = 100.48 inches
Area = 3.14 × 256 = 803.84 inches
2. Radius :- 40 / 2 = 20 inches
Diameter = 40 inches
Circumference = 3.14 × 40 = 125.6 inches
Area = 3.14 × 20 × 20 = 1256 inches
3. Radius = 28 / 2 = 14 inches
Diameter = 28 inches
Circumference = 3.14 × 28 = 87.92 inches
Area = 3.14 × 14 × 14 = 615.44 inches
4. Radius = 18/2 = 9 inches
Diameter = 18 inches
Circumference = 3.14 × 18 = 56.52 inches
Area = 3.14 × 9 × 9 = 254.34 inches
5. Radius = 5 inches
Diameter = 5 × 2 = 10 inches
Circumference = 3.14 × 10 = 31.4 inches
Area = 3.14 × 5 × 5 = 78.5 inches
6. Radius = 2 inches
Diameter = 2 × 2 = 4 inches
Circumference = 3.14 × 4 = 12.56 inches
Area = 3.14 × 2 × 2 = 12.56 inches
–––––––––☆–––––––––Answer: Solve the missing elements for each problem. Use 3.14 for π. Area π r² ; C = π D
Step-by-step explanation:
1. Radius = 32/2 = 16 inches
Diameter = 32 inches
Circumference = 3.14 × 32 = 100.48 inches
Area = 3.14 × 256 = 803.84 inches
2. Radius :- 40 / 2 = 20 inches
Diameter = 40 inches
Circumference = 3.14 × 40 = 125.6 inches
Area = 3.14 × 20 × 20 = 1256 inches
3. Radius = 28 / 2 = 14 inches
Diameter = 28 inches
Circumference = 3.14 × 28 = 87.92 inches
Area = 3.14 × 14 × 14 = 615.44 inches
4. Radius = 18/2 = 9 inches
Diameter = 18 inches
Circumference = 3.14 × 18 = 56.52 inches
Area = 3.14 × 9 × 9 = 254.34 inches
5. Radius = 5 inches
Diameter = 5 × 2 = 10 inches
Circumference = 3.14 × 10 = 31.4 inches
Area = 3.14 × 5 × 5 = 78.5 inches
6. Radius = 2 inches
Diameter = 2 × 2 = 4 inches
Circumference = 3.14 × 4 = 12.56 inches
Area = 3.14 × 2 × 2 = 12.56 inches
–––––––––☆–––––––––
Micah buys 2 apples, what is the probability that one of the apples is bad
Answer:
1/2
Step-by-step explanation:
in one try, Micah will either pick 1 good apple or 1 bad apple, so the probability would be 1/2.
Which ratio is equivalent to 7 : 3?
49:9
12:8
21:7
28:12
Please answer quickly!
Answer:
28:12
Step-by-step explanation:
28 divided by 4 is 7
12 divided by 4 is 3
What is 150 millimetres in meters ?
Answer: 0.15meters
that the answer
PLEASE HELP I WILL MARK BEAINLIST
Answer:
Is it 1,512?
Step-by-step explanation:
2. Suppose over several years of offering AP Statistics, a high school finds that final exam scores are normally distributed with a mean of 78 and a standard deviation of 6. A. What are the mean, standard deviation, and shape of the distribution of x-bar for n
Answer:
By the Central Limit Theorem, the mean is 78, the standard deviation is [tex]s = \frac{6}{\sqrt{n}}[/tex] and the shape is approximately normal.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 78 and a standard deviation of 6
This means that [tex]\mu = 78, \sigma = 6[/tex]
Samples of n:
This means that the standard deviation is:
[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{6}{\sqrt{n}}[/tex]
What are the mean, standard deviation, and shape of the distribution of x-bar for n?
By the Central Limit Theorem, the mean is 78, the standard deviation is [tex]s = \frac{6}{\sqrt{n}}[/tex] and the shape is approximately normal.
Which expressions are equivalent to (59 + 3h + 4) - 2?
I think this is the answer
=(3h+61)
You are trying to figure out how many license plates can be created from the digits 0 through 9. The license plate has 6 numbers, and none can be repeated. How many license plates can be created?
Answer:
1
Step-by-step explanation:
Please explain it ASAP
Answer:
sorry but i don't understand the question
State if each sequence is geometric. -5, -21, -37, -53, .... a) yes B) no
Answer:
yes, you just add more -16 between each number
Cameron earned a grade of 73% on his multiple choice math final that had a total of 200 problems. How many problems on the final exam did Cameron get wrong?
Answer:
54
Step-by-step explanation:
Calculation to determine How many problems on the final exam did Cameron get wrong
Wrong Numbers of problems=Total number of problems-(Percentage of grade earned*Total Number of problems)
Let plug in the formula
Wrong Numbers of problems=200-(73%*200)
Wrong Numbers of problems=200-146
Wrong Numbers of problems=54 problems
Therefore the problems on the final exam that Cameron get wrong is 54
Answer:
54
Step-by-step explanation:
ok
The women athletes in the BIG10 Schools have a long-term graduation rate of 73%. Over the past several years, a random sample of 23 women showed that 19 graduated. Does this indicate that the population proportion of women athletes who graduate from the BIG10 is now more than 73%
Answer:
This means that population proportion of women athletes who graduate from the BIG10 is now not more than 73%
Step-by-step explanation:
Here,
The null hypothesis is p = 0.73
Alternate hypothesis is p> 0.73
The level of significance = 0.10 or 10%
Sample size = 23
Sample proportion = 19/23 = 0.826
Z test statistics
= (p’-p)/Sqrt ((p(1-p)/n))
Substituting the given values, we get –
Z = (0.826-0.73)/Sqrt ((0.73(1-0.73)/23)) = 1.037
Thus, the P values for Z>1.037
= 1- P(Z less than or equal to 1.037)
= 1- 0.8501
= 0.150
P-value is greater than the level of significance
We will accept the null hypothesis
This means that population proportion of women athletes who graduate from the BIG10 is now not more than 73%
Compare using >, <, or =.
11 yards
51 feet
Answer:
11 yards is 33 feet
11 yards < 51 feet
Your company is planning to air a number of television commercials during a television network's presentation of the an awards show. The network is charging your company $1.9 million per 30-second spot. Additional fixed costs (development and personnel costs) amount to $500,000, and the network has agreed to provide a discount of $160,000 x for x television spots.
Required:
Write down the cost function C, marginal cost function C’, and average cost function
This question is incomplete, the complete question is;
Your company is planning to air a number of television commercials during a television network's presentation of the an awards show. The network is charging your company $1.9 million per 30-second spot. Additional fixed costs (development and personnel costs) amount to $500,000, and the network has agreed to provide a discount of $160,000√x for x television spots.
Required:
Write down the cost function C, marginal cost function C’, and average cost function
Answer:
- The the cost function is 500,000 + 1,900,000x - 160,000√x
- the marginal cost function is 1,900,000 - (80000 /√x )
- The average cost function is 1,900,000 + [ 500,000 / x ] - [ 160,000 / √x ]
Step-by-step explanation:
Given the data in the question;
cost per spot = $1.9 million
Additional cost = $500,000
discount = $160,000√x
Let C(x) represent the cost ;
Cost x television spot = cost per spot × Number pf spots
Cost x television spot = $1.9 million × x
Cost x television spot = $1,900,000x
Now, the television set total cost will be;
C(x) = television cost + additional cost - discount
C(x) = 500,000 + 1,900,000x - 160,000√x
Therefore, The the cost function is 500,000 + 1,900,000x - 160,000√x
Marginal Cost Function;
Cost function C(x) = 500,000 + 1,900,000x - 160,000√x
we differentiate with respect to x
C'(x) = d/dx( 500,000 + 1,900,000x - 160,000√x )
= d/dx( 500000 ) + 1,900,000d/dx -160,000 d/d( √x )
= 0+ 1,900,000(1) -160,000( 1 / 2√x )
= 1,900,000 - (160,000 / 2√x )
= 1,900,000 - (80000 /√x )
Therefore, the marginal cost function is 1,900,000 - (80000 /√x )
Average cost function;
Average cost function = C(x) / x
we substitute
Average cost function = [500,000 + 1,900,000x - 160,000√x] / x
= [500,000 / x ] + [1,900,000x / x ] - [ 160,000√x / x ]
= [ 500,000 / x ] + 1,900,000 - [ 160,000√x / x ]
= 1,900,000 + [ 500,000 / x ] - [ 160,000 / √x ]
Therefore, The average cost function is 1,900,000 + [ 500,000 / x ] - [ 160,000 / √x ]
Question 4 (1 point) (06.02 LC) Which of these is the algebraic expression for 3 times the sum of 2 and Y
Answer:
3(2+y) is the correct answer
Answer: 3 (2 + y)
Hope this helps!
can someone help me with this
Answer:
x=112b+13
Step-by-step explanation:
idek