Answer:
[tex]\frac{9}{5}[/tex] or 1.8
hope this helps!!
which expression is equivalent to 6 + 3 * 4 - 1 / 3
Answer:
12 2/3
Step-by-step explanation:
add the integers to get 6+3 + 4 = 13
Now subtract 1/3
13 = 12 + 1 - 1/3
but one is equal to 3/3
12 + 3/3 - 1/3
12 2/3
What is the range of this function?
Find the product of (x + 3) (x - 18)
Answer:
x^2-15x-54
Step-by-step explanation:
(x+3)(x-18) Multiply them all
x^2-18x+3x-54
ans=x^2-15x-54
Choose the equation that represents the line that passes through the point (6, -3) and has a slope of
1/2
y=-x+6
y=2x-6
y=2x+3
Answer:
y=1/2x-6
Step-by-step explanation:
slope=1/2, (6,-3)
plug in the x and y coordinates into the equation
-3= 1/2 (6) +b
-3=3+b
subtract 3 from both sides
b=-6
y=1/2x-6
Find the measure of each angle.
Answer:
b
Step-by-step explanation:
23/pi is 23.00 pi=3.14 23-3.14= 19.86-86=19+4= 23pi/4
Luca solved an equation as shown, and verified
that his solution was correct.
√2x-5 = √x-3+1
( 12x-5)-(1x=3+1)
2x-5= X-3+1
X = 3
Answer:
3
Step-by-step explanation:
squaring both sides first gives 2x-5=x-3+1 hence simplifying further give x=3
Thirty less than four times a number is fifty
4x-30= 50
mark me brainliestttt :))
Answer:
The number is 20
Step-by-step explanation:
Let the number be x
Four times the number means = 4x
30 less than the number is 50 means = 4x - 30 = 50
Solve for x :
4x - 30 = 50
4x - 30 + 30 = 50 + 30 [ adding 30 on both sides ]
4x = 80 [ - 30 + 30 = 0 ]
x = 20 [ dividing by 4 on both sides ]
i need to find the area. please help
Answer:
A = 190 inches^2
Step-by-step explanation:
The total area would be area for a rectangle + half the area of a circle:
Area for a rectangle:
A = l x w
A = 12 x 15
A = 180 [tex]inches^{2}[/tex]
Area for half of the circle:
A = [tex]\frac{\pi r^{2} }{2}[/tex]
[tex]A = \frac{\pi 2.5^{2} }{2} \\\\= \frac{19.63}{2} \\\\= 9.8 inches^{2}[/tex]
Total area: Rectangle area + half of the circle area
= 180 + 9.8 = 189.8 = 190 inches^2
Step-by-step explanation:
Find the rectangle area first by using the formula A=length * width then find the semicircle area by using the formula A=pi*r²/2
Select the correct answer from each drop-down menu.
What is the end behavior of function h?
h(x) = -4x2 + 11
As x approaches negative infinity, h(x) approaches
As x approaches positive infinity, h(x) approaches
Answer:
The first is negative and the second is also negative. Just took the test and passed.
Step-by-step explanation: Step by Step
Because the variable has an even power, we will see that:
As x approaches -∞, h(x) approaches -∞As x approaches ∞, h(x) approaches -∞.What is the end behavior of h(x)?Here we have h(x) = -4x^2 + 11
Notice that the variable is squared, this means that the sign does not matter, the outcome of:
-4x^2 will always be negative. So in both ends (when x tends to infinity and negative infinity), we will have the same end behavior.
When we take that limit, -4x^2 will just tend to negative infinity, then in both cases, the function tends to negative infinity.
So we have:
As x approaches negative infinity, h(x) approaches negative infinity.As x approaches positive infinity, h(x) approaches negative infinity.If you want to learn more about limits, you can read:
https://brainly.com/question/5313449
The sum of three consecutive numbers is 66. What is the smallest of these numbers?
Answer:
the 3 numbers are 20,22,and 24 and the smallest of which is 20
Step-by-step explanation:
Hope this helped
trigonometry help please explain
Answer:
[tex]x\approx10.6[/tex]
Step-by-step explanation:
Recall that [tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]:
[tex]sin62^\circ=\frac{x}{12}[/tex]
[tex]12sin62^\circ=x[/tex]
[tex]10.59537111=x[/tex]
[tex]x\approx10.6[/tex]
╮(. ❛ ᴗ ❛.)╭╮(. ❛ ᴗ ❛.)╭╮(. ❛ ᴗ ❛.)╭
Suppose X is a random variable with a mean of 10 and a variance of 100. Suppose Y is a random variable with a mean of 2 and a standard deviation of 16. Also, suppose X and Y are independent. What is the mean of 10 X + 3 Y?
Answer:
[tex]E(10x + 3y) =106[/tex]
Step-by-step explanation:
Given
[tex]E(x) =10[/tex]
[tex]Var(x) = 100[/tex]
[tex]E(y) =2[/tex]
[tex]Var(y) = 16[/tex]
Required
[tex]E(10x + 3y)[/tex]
To do this, we make use of the following equation
[tex]E(ax + by) =aE(x) + bE(y)[/tex]
So, we have:
[tex]E(10x + 3y) =10 * E(x) + 3 *E(y)[/tex]
[tex]E(10x + 3y) =10 * 10 + 3 *2[/tex]
[tex]E(10x + 3y) =100 + 6[/tex]
[tex]E(10x + 3y) =106[/tex]
Maria is asked to write down a prime number between 10 and 20 she writes down 17 is she right explain your answer
Answer:
YES
Step-by-step explanation:
PRIME NUMBER BETWEEN 10 & 20 ARE 11,13,17,19-four
Step-by-step explanation:
it has no factor excluding 1 and itself
Whats the nth term in this sequence
1 , 7, 13, 19
Step-by-step explanation:
the answer is in the above image
Lola tossed a coin twice. She made a tree diagram to show the possible outcomes. Which tree diagram shows the sample space for two tosses of a coin?
Step-by-step explanation:
note : H for head, T for tail
Determine the positive number that must be added or subtracted to the expression to complete the square. x ^ 2 - 2x.
Answer:
1
Step-by-step explanation:
take the -2 and divide it by 2
that gives you -1
then square it
now its positive 1
formula is [tex](b/2)^{2}[/tex]
where b is the term next to the x
Name two grouping symbols.
Answer:
parentheses ( ), brackets [ ], and braces { }—are used to group numbers or variables (letters
Step-by-step explanation:
I put three for if u need hope this helps:)
Suppose that attendance at the concerts by the band "Keane" is a normally distributed random variable X with a mean of 18,500. You are told that P(X ≥ 15,000) = 0.6981. What are the two values of X that delineate the "82% middle pack" of this random variable?
A random variable has a population mean equal to 1,973 and population variance equal to 892,021. Your interest lies in estimating the population mean of this random variable. With that in mind, you take a representative sample of size 79 from the population of the random variable. You then use this sample data to calculate the sample average as an estimate for the population mean.
Required:
Using your knowledge about the central limit theorem (CLT), and assuming that the CLT has already "established itself" / "kicked in" when the sample size is 79, what is the probability that the sample average that you calculated will lie between 1,702 and 1,948?
Answer:
The two values of X that delineate the "82% middle pack" of this random variable are 9480 and 27520.
0.4017 = 40.17% probability that the sample average that you calculated will lie between 1,702 and 1,948.
Step-by-step explanation:
To solve the first question, we use the normal distribution, while for the second quetion, it is used with the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
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.
First question:
Mean of 18,500:
This means that [tex]\mu = 18500[/tex]
You are told that P(X ≥ 15,000) = 0.6981.
This means that when [tex]X = 15000[/tex], Z has a o-value of 1 - 0.6981 = 0.3019, which means that when [tex]X = 15000, Z = -0.52[/tex]. We use this to find [tex]\sigma[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.52 = \frac{15000 - 18500}{\sigma}[/tex]
[tex]0.52\sigma = 3500[/tex]
[tex]\sigma = \frac{3500}{0.52}[/tex]
[tex]\sigma = 6731[/tex]
What are the two values of X that delineate the "82% middle pack" of this random variable?
Between the 50 - (82/2) = 9th percentile and the 50 + (82/2) = 91st percentile.
9th percentile:
X when Z has a p-value of 0.09, so X when Z = -1.34.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.34 = \frac{X - 18500}{6731}[/tex]
[tex]X - 18500 = -1.34*6731[/tex]
[tex]X = 9480[/tex]
91st percentile:
X when Z has a p-value of 0.91, so X when Z = 1.34.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.34 = \frac{X - 18500}{6731}[/tex]
[tex]X - 18500 = 1.34*6731[/tex]
[tex]X = 27520[/tex]
The two values of X that delineate the "82% middle pack" of this random variable are 9480 and 27520.
Question 2:
A random variable has a population mean equal to 1,973 and population variance equal to 892,021.
This means that [tex]\mu = 1973, \sigma = \sqrt{892021} = 944.5[/tex]
Sample of 79:
This means that [tex]n = 79, s = \frac{944.5}{\sqrt{79}}[/tex]
What is the probability that the sample average that you calculated will lie between 1,702 and 1,948?
This is the p-value of Z when X = 1948 subtracted by the p-value of Z when X = 1702. So
X = 1948
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{1948 - 1973}{\frac{944.5}{\sqrt{79}}}[/tex]
[tex]Z = -0.235[/tex]
[tex]Z = -0.235[/tex] has a p-value of 0.4071
X = 1702
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{1702 - 1973}{\frac{944.5}{\sqrt{79}}}[/tex]
[tex]Z = -2.55[/tex]
[tex]Z = -2.55[/tex] has a p-value of 0.0054
0.4071 - 0.0054 = 0.4017
0.4017 = 40.17% probability that the sample average that you calculated will lie between 1,702 and 1,948.
please help me simplify the expression and please show work!!! <3
Step-by-step explanation:
[tex] \frac{x + 4}{3 {x}^{2} - 12x - 96} = \frac{x + 4}{3( {x}^{2} - 4x - 32) } = \frac{x + 4}{3(x - 8)(x + 4)} [/tex]
[tex] = \frac{1}{3(x - 8)} = \frac{1}{3x - 24} [/tex]
In the 30-60-90 triangle below, side s has a length of ___ and side q has a length of ___.
Answer:
The answer is D.
Step-by-step explanation:
The side lengths for this special triangle is represented with x, x[tex]\sqrt{3}[/tex] , and 2x
if the side length that sees 90 degrees is 10 (2x and x = 5 in this case)
so s (the side length that sees 30 degrees) is = 5
and q (the side length that sees 60 degrees) = 5[tex]\sqrt{3}[/tex]
simplify the following expression <3
Answer:
4x^12y^6/z^5
Step-by-step explanation:
See image below:)
FYI you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps and it is free.
Kyle works at a donut factory, where a 10-oz cup of coffee costs 95¢, a 14-oz cup costs $1.15, and a 20-oz cup costs $1.50. During one busy period, Kyle served 29 cups of coffee, using 444 ounces of coffee, while collecting a total of $35.90. How many cups of each size did Kyle fill?
Kyle filled ___ 10-oz cup(s), ___ 14-oz cup(s), and ___ 20-oz cup(s).
Answer:
10 oz: 7
14 oz: 8
20 oz: 6
Answer:
Kyle filled 4 servings of 10oz 16 servings of 14 oz 9 servings of 20 oz
Step-by-step explanation:
10oz 95c = x
14oz 1.15c = y
20oz 1.50c = z
444 given divided by 29 cups
= 444/29 = 15.3103448 average cup weight so the higher size were used more.
9 servings of 20 oz cups = 180 = cost check at 1.50 x 9 = $13.50
16 servings of 14 oz cups = 224 = cost check at 16 x 1.15 = $18.40
4 servings of 10 oz cups = 40 = cost check at 4 x 0.95 = $3.80
Where given collection total said to be $35.90 we total 13.5+18.4+3.8 = 35.7 so we are 0.20 out and can try again.
OR just submit this. 4 servings of 10oz 16 servings of 14 oz 9 servings of 20 oz
The_____ is the result of the sum of the numbers being divided by how many numbers are in set.
Answer:
Mean
Step-by-step explanation:
Mean
less precisely called the average
R(-9, 4) and S(2, -1); Find T.
Answer:
AYYYYYYYYYYYYYYYYYYYYY
Step-by-step explanation:
Alguien puede ayudarme?
Answer:
I don’t understand you language
Step-by-step explanation:
Make it in English
What is the length of arc S shown below?
5 cm
0.4
S
The angle in the figure is a central angle in radians.
om
Answer:
The length of arc S = 47.1
Step-by-step explanation:
The radius of the circle = 10
The central angle of the arc = 3
By formula, S = rΘ
where S is the lenth of the arc
r is the radius of the circle
Θ is the central angle of the arc
substituting the values in the formula, we get
S = rΘ = 10 (3) = 15 = 47.1
Answer:
the length of the arc is 2 cm
Step-by-step explanation:
im doing this right now
11. Choose the proportion that represents this problem:
If one meter is approximately 3.28 ft, how many meters are
in 20 ft?
a) 3.28
20
b) 3.28
20
1
1
m
O ) c) 3.28
20
1
d) 20
3.28
1
m
т
Answer:
D is the answer
Step-by-step explanation:
What is the value of n?
Answer:
A
Step-by-step explanation:
180-133= 47
180-142= 38
47+38= 85
180-85= 95
If the inside of n is 95, n has to be 85
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPp
Answer:
4. 52sq.ft
5.25sq.ft
Step-by-step explanation:
In attachment
Transportation Safety The given expression is used for determining the likelihood that a water taxi will have a total passenger weight that exceeds the maximum safe weight of 3500 pounds. Find the value and round the result to two decimal places.
Answer:
Value of given expression = 0.4628 (Approx)
Value of given expression [Upto two decimal] = 0.46 (Approx)
Step-by-step explanation:
Missing equation;
[175 - 172] / [29 / √20]
Find:
Value of given expression
Computation:
[175 - 172] / [29 / √20]
[3] / [29 / √20]
[3] / [29 / 4.4721]
[3] / [29 / 4.4721]
[3] / [6.4846]
0.4628
Value of given expression = 0.4628 (Approx)
Value of given expression [Upto two decimal] = 0.46 (Approx)
