square root of 4 plus 45 over 4 plus 125 over 25
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Related Questions
Find the value of x in 4000(1.5x) = 25,000. show all work
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25000/4000 = 1.5x
6.25 = 1.5x
25/6 = x
1.5x=6.25 divide both sides by 1.5
x=25/6
x=4 1/6
But that is pretty simplistic, I suspect that you actually meant this was an exponential function of the form:
4000(1.5^x)=25000 divide both sides by 4000
1.5^x=6.25 take the natural log of both sides
xln(1.5)=ln(6.25) divide both sides by ln(1.5)
x=ln(6.25)/ln(1.5)
x≈4.52 (to nearest hundredth)
value for X^2 left for 95% confidence interval when n=18
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From the table of Chi Square [tex](X^2)[/tex]
The value of [tex](X^2)[/tex] to the left for 95% confidence interval given a degree of freedom of 17 is 8.672
Information about movie ticket sales was printed in a movie magazine. in a sample of of fifty pg-rated movies, 36% had ticket sales in excess of $30,000,000. in a sample of thirty-five r-rated movies, 23% grossed over $30,000,000. suppose that this data is used to test the claim that the proportion of movies with ticket sales in excess of $30,000,000 is the same for pg movies as it is for r-rated movies. what would be the test statistic for this test? z = 1.29 z = 2.07 z = 4.005 z = 2.58
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Let us say that the samples for fifty movies is 1 and samples for thirty five is 2. To solve the test statistic z, we can use the formula:
z = (p1 – p2) / sqrt [p (1 – p) (1 / n1 + 1 / n2)]
Where,
p1 = is the proportion for sample 1 = 0.36
p2 = is the proportion for sample 2 = 0.23
n1 = number of samples = 50
n2 = number of samples = 35
while p can be calculated using the formula:
p = [p1 * n1 / (n1 + n2)] + [p2 * n2 / (n1 + n2)]
p = [0.36 * 50 / (50 + 35)] + [0.23 * 35 / (50 + 35)]
p = 0.211764705 + 0.094705882
p = 0.306470587
Going back for the calculation of z:
z = (0.36 – 0.23) / sqrt [0.306 (1 – 0.306) (1 / 50 + 1 / 35)]
z = 1.279
Therefore the nearest answer is:
z = 1.29
Write an equation for the function. Tells what each variable you use represents. A plant's height is 1.6 times its age in months.
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Since the growth rate of height for the plant is 1.6 times the independent variable and there is no starting point (so assume 0), our equation should look like this:
y = 1.6x
The plant's height is y and its age in months is x.
Hope my answer helped clear things up a bit.
Without solving, decide what method you would use to solve each system: graphing, substitution, or elimination. Explain. 4s-3t=8 ; t=-2s-1
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4s-3(-2s-1)=8
A geometry class has a total of 34 students. The number of males is 14 more than the number of females. How many males and how many females are in the class?
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one way is to substitute teh first into the second to get, 14+2f=34, or 7+f=17, or f=10. Since f is 10 and m+f=34, m=34-10=24.
Good luck!
Sidney made $26 more than seven times Casey's weekly salary. If x represents Casey's weekly salary, write an expression for sidney's weekly salary
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Which expression is equivalent to (7^3)−2
A- 1 over 7 times 7 times 7 times 7 times 7 times 7
B- 7
C- 1 over 7
D-negative 1 over 7 times 7 times 7 times 7 times 7 times 7
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What is the sum of the arithmetic series? ∑[i=1,15,Fn=5i-1]
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6x2=(3×2)×___=___
6×4=2×(6×___)=___
2×(6×4)=____×8=____
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6×2 = (3×2)×2 = 12
6×4 = 2×(6×2) = 24
2×(6×4) = 6×8 = 48
A teacher has 3 hours to grade all the papers submitted by the 35 students in her class. She gets through the first 5 papers in 30 minutes. How much faster does she have to work to grade the remaining papers in the allotted time?
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the first 5, she does them in 30minutes.. what's the speed rate? well, 5/30 or 1/6
now, she has still 2 hours and a half, or 150 minutes, to do the remaining 30 papers... she has to work at a rate of 30/150 then... which is 1/5 simplified.
now if we take 1/6 as the 100%, what is 1/5 in percentage then?
[tex]\bf \begin{array}{ccllll} rate&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ \frac{1}{6}&100\\\\ \frac{1}{5}&x \end{array}\implies \cfrac{\frac{1}{6}}{\frac{1}{5}}=\cfrac{100}{x}\implies \cfrac{1}{6}\cdot \cfrac{5}{1}=\cfrac{100}{x}\implies \cfrac{5}{6}=\cfrac{100}{x} \\\\\\ x=\cfrac{6\cdot 100}{5}\implies x=120[/tex]
so 1/5 is 120% in relation to 1/6... meaning the rate of 1/5 she needs to move through, namely 1 paper every 5 minutes, is 20% faster than 1/6.
Can someone please help me solve this triangle problem, picture is shown.
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3(4t) (multiplication form)
these are two forms you can use to get your answer
answer: 12t
hope this helps
and
perimeter = 4t * 3
The graph of a limacon curve is given. Without using your graphing calculator, determine which equation is correct for the graph.[-5, 5] by [-5, 5] (1 point)
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[tex]r = Acos \theta + B[/tex]
Now find A,B given 2 points:
[tex]r(0) = 5, r(\pi) = 1[/tex]
[tex]A +B = 5 \\ \\ -A+B = 1[/tex]
Solving this system yields:
[tex]A = 2, B = 3 \\ \\ r = 2cos \theta + 3[/tex]
Answer:
r = 2 - 3 cos θ
Step-by-step explanation:
This is the best I could come up with.
A taxi cab charges $0.55 per mile in addition to a $1.75 flat rate fee. Susie has $10 to spend on a taxi cab ride. The taxi driver will not give anyone a ride unless they are going somewhere that is more than 2 miles away. Model Susie’s situation with a system of inequalities.
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1.75+(0.55x2)=2.85
As Susie only has 10 dollars to spend, she can't exceed that. So Susie must spend more than $2.85(minimum from the taxi) and less than $10(her money)
so,
$2.85<Susie<$10
Which figure has the correct lines of symmetry drawn in?
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The figure which has the correct lines of symmetry drawn is figure D.
What is line of symmetry?A line of symmetry refers to the line that divides a shape or an object into two equal and symmetrical parts.
The figure given is a five sided shape referred to as a pentagon.
A pentagon has five lines of symmetry.
Therefore, the correct line of symmetry is 5 lines drawn from each angle respectively.
Read more on line of symmetry:
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simplify the expression below. show your work. -(-7y+12)
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find two consecutive even integers such that the smaller added to five times the larger give you a sum of 46.
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Second consecutive integer: n + 2 (next even integer)
n + 5(n + 2) = 46
n + 5n + 10 = 46
6n + 10 = 46
6n = 36
n = 6
n + 2 = 8
Your answer is 6 and 8
What is the distance between (–6, 2) and (8, 10) on a coordinate grid?
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(-6 , 2) and (8 , 10)
x₁ y₁ x₂ y₂
d = √(8 - (-6))² + (10 - 2)²
d = √(8+6)² + (10 - 2)²
d = √(14)² + (8)²
d = √(196) + (64)
d = √ 260
d = 2√65
I think this is right, but I am not sure.
Answer:
D. √260
Step-by-step explanation:
Use the distance formula then input the points (–6, 2) and (8, 10) into it to get √(-6 −2)^2 + (2 −10)^2. Finaly simplify/solve and you get √260.
simplify the expression I-30I
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Pediatric asthma survey, n = 50. suppose that asthma affects 1 in 20 children in a population. you take an srs of 50 children from this population. can the normal approximation to the binomial be applied under these conditions? if not, what probability model can be used to describe the sampling variability of the number of asthmatics?
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n=50, p=1/20, q=(1-p)=19/20, and npq=19/8=2.4
We would like np and npq to be a large number, at least greater than 10.
The normal approximation can always be applied, but the result will be very approximate, depending on the values of np and npq.
Situations are favourable for the normal approximation when p is around 0.5, say between 0.3 and 0.7, and n>30.
"Normal approximation" is using normal probability distribution to approximate the binomial distribution, when n is large (greater than 70) or exceeds the capacity of most hand-held calculators. The binomial distribution can be used if the following conditions are met:
1. Bernoulli trials, i.e. exactly two possible outcomes.2. Number of trials is known before and constant throughout the experiment, i.e. independent of outcomes.3. All trials are independent of each other.4. Probability of success is known, and remain constant throughout trials.
If all criteria are satisfied, we can model with binomial distribution, where the probability of x successes out of N trials each with probability of success p is given byP(x)=C(N,x)(p^x)(1-p)^(N-x)and,C(N,x) is number of combinations of selecting x objects out of N.
The mean is np, and variance is npq.
For the given situation, np=2.5, npq=2.375, so standard deviation=sqrt(2.375)=1.54.
n=50, p=1/20, q=(1-p)=19/20, and npq=19/eight=2.4
We would like np and npq to be a huge range, at least extra than 10.
The ordinary approximation can usually be carried out, but the result might be very approximate, relying on the values of np and npq.
conditions are favorable for the normal approximation when p is around 0.5, say among 0.3 and 0.7, and n>30.
For the given scenario, np=2.five, npq=2.375, so widespread deviation=sqrt(2.375)=1.54.
underneath what conditions binomial distribution tends to be everyday distribution?the theory states that any distribution becomes normally allotted whilst the variety of variables is satisfactorily massive. for example, the binomial distribution has a tendency to alternate into the regular distribution with suggest and variance.
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What is the value of -2 (7-15) over 4
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5 times the difference of 29 and a number is 215. Which equation below can be used to find the unknown number?
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Answer:
The required equation is [tex]5(29-n)=215[/tex]
Step-by-step explanation:
Given : 5 times the difference of 29 and a number is 215.
To find : Which equation can be used to find the unknown number?
Solution :
Let the number be 'n'.
The difference of 29 and a number i.e. [tex]29-n[/tex]
5 times the difference of 29 and a number i.e. [tex]5(29-n)[/tex]
5 times the difference of 29 and a number is 215 i.e. [tex]5(29-n)=215[/tex]
Therefore, the required equation is [tex]5(29-n)=215[/tex]
What is the value of k in the equation below? 5k - 2k = 12? 1 1/5, 1 5/7, 3, 4
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5k - 2k = 12
Solve for K
3k = 12
Divide both sides by 3
3k/3 = 12/3
k = 4
The correct answer is : 4
I hope that helps!
Brainliest answer :)
Answer:4
Step-by-step explanation:
105,159 rounded to the nearest ten thousand
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hope this helps
An earthquake with a rating of 3.2 is not usually felt. What is the value of x when the Richter scale rating is 3.2? Round your answer to the nearest hundredth.
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Each figure is filled with unit cubes. Drag 22 figures whose combined volume is equal to 45 unit cubes.
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To solve this problem, what we have to do first is to calculate for the volumes of each figure. Let us start from the figure on the left going to the right. Let us call the figures 1 to 4. Formula for volume is:
V = l * w * h
Figure 1:
V1 = 4 * 3 * 1 = 12 unit cubes
Figure 2:
V2 = 3 * 2 * 3 = 18 unit cubes
Figure 3:
V3 = 2 * 2 * 4 = 16 unit cubes
Figure 4:
V4 = 3 * 3 * 3 = 27 unit cubes
The two combinations that would result in 45 total unit cubes would be:
V = V2 + V4 = 18 unit cubes + 27 unit cubes = 45 unit cubes
So the answers are:
Figure 2 and Figure 4
EASY 5 POINTS!! Which expression gives the correct volume of the figure?
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(3×2×1)+(3×1×1)
Answer:
(3×2×1)+(3×1×1)
Step-by-step explanation:
AS you can se ein the figure, the figure is not a solid full rectangula prism, it is made out of two prisms the first one is the 3x2x1 rectangular prism, and the second is the 3x1x1 square prism, so by adding the volume of those two you can figure out the volume of the whole figure that is why the answer to the problem is (3×2×1)+(3×1×1)
Steve can complete the 100m dash in 10 seconds while Paul can run it in 12 seconds. How does Steve's time compare to Paul's?
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A ship traveled for 4 hours heading east and for 3 hours heading north. If the total distance traveled was 149 miles, and the ship traveled 3 miles per hour faster heading north, at what speed was the ship traveling east?
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if the ship travelled a total of 149 miles, then let's say it travelled East "d" miles and thus it travelled North the slack of 149 and "d", thus " 149 - d".
now, if the rate travelling East is say "r", then the faster rate going North is " r + 3".
[tex]\bf \begin{array}{lccclll} &distance&rate&time\\ &-----&-----&-----\\ East&d&r&4\\ North&149-d&r+3&3 \end{array} \\\\\\ \begin{cases} \boxed{d}=4r\\ 149-d=(r+3)3\\ ----------\\ 149-\boxed{4r}=3(r+3) \end{cases}[/tex]
solve for "r".
You have a 20-foot ladder that you are using as you paint your house. You place the ladder so that it forms an angle of 30 at the point of contact between the ladder and the ground. How high will the top of the ladder be above the ground
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Answer:
The Ladder is 10 ft high.
Step-by-step explanation
According to the question we have a 20 ft ladder inclined against a wall at a 30° angle, and are asked to find how high the top of the ladder is from the ground. I have added a visual representation to help you better understand the situation. As you can see we need to solve for x. Since we are given one angle and the hypotenuse we can solve for x using the SIN operator.
[tex]sin(a) = \frac{opposite}{hypotenuse}[/tex]
Since we have the angle (a) and the hypotenuse we can just plug the information into the sin equation and solve for the opposite (x).
[tex]sin(30) = \frac{x}{20ft}[/tex]
[tex]sin(30)*20ft = x[/tex]
[tex]0.5*20ft = x[/tex]
[tex]10ft = x[/tex]
So now we can see that the height of the top of the ladder to the ground is 10 ft
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.