Answer:
Answer: 14
Step-by-step explanation:
[tex]{ \rm{3 + 6 \times (5 + 4) \div 3 - 7}} \\ \\ = { \rm{3 + (6 \times 9) \div 3 - 7}} \\ \\ = { \rm{3 + (54 \div 3) - 7}} \\ \\ = { \rm{14 }}[/tex]
Women comprise 83.3% of all elementary school teachers. In a random sample of 300 elementary school teachers, what is the probability that fewer than 260 are women?
Using the normal approximation to the binomial, it is found that there is a 0.9319 = 93.19% probability that fewer than 260 are women.
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. The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].In this problem:
Women comprise 83.3% of all elementary school teachers, hence [tex]p = 0.833[/tex]A sample of 300 teachers is taken, hence [tex]n = 300[/tex]The mean and the standard deviation for the approximation are given by:
[tex]\mu = np = 300(0.833) = 249.9[/tex]
[tex]\sigma = \sqrt{np(1 - p)} = \sqrt{300(0.833)(0.167)} = 6.46[/tex]
Using continuity correction, as the binomial distribution is discrete and the normal distribution is continuous, the probability that fewer than 260 are women is P(X < 260 - 0.5) = P(X < 259.5), which is the p-value of Z when X = 259.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{259.5 - 249.9}{6.46}[/tex]
[tex]Z = 1.49[/tex]
[tex]Z = 1.49[/tex] has a p-value of 0.9319.
0.9319 = 93.19% probability that fewer than 260 are women.
A similar problem is given at https://brainly.com/question/25347055
what is the value of x?
Answer:
132
Step-by-step explanation:
corresponding angles are the same
SOMEONE HELP ME PLEASEEE
Answer:
A) X≥4
B) Can't see question
C)x<8
D) x>40
E)x≥5
F) Can't see question
G)x ≥43
H) x ≤75
Step-by-step explanation:
What is the measure of
Answer:
Step-by-step explanation:
As BA = BC, this is an isosceles triangle and the angles adjacent the equal length legs are also identical.
∠C = ∠A = 56°
B = 180 - 2(56) = 68°
Answer:
56°
Step-by-step explanation:
It is because Angle A = Angle C,since triangle ABC is isosceles triangle are equal
Jasmine spends $1,089.72 each month for rent and supplies to run her hair salon. If she charges $18 for a haircut, how many haircuts must Jasmine do to cover her monthly expenses? Round to the nearest whole number.
Answer: 61 haircuts
Step-by-step explanation:
How much pure alcohol must a pharmacist add to 10 cm of a 10% alcohol solution to strengthen it to a 70% solution? ASAP
20 cm³ of pure alcohol is added to 10 cm of a 10% alcohol solution to strengthen it to a 70% solution.
Let x represent the volume of pure alcohol (100%) in cm³ needed to be added. Hence:
x * 100% + 10 cm³ * 10% = 70% * (x + 10 cm³)
x * 1 + 10 * 0.1 = 0.7 * (x + 10)
x + 1 = 0.7x + 7
x - 0.7x = 7 - 1
0.3x = 6
x = 20 cm³
Therefore 20 cm³ of pure alcohol is added to 10 cm of a 10% alcohol solution to strengthen it to a 70% solution.
Find out more on equation at: https://brainly.com/question/13763238
Answer:
20 cm³
Step-by-step explanation:
find the answer given below
Answer:
Surface area = 6l^2
Volume = l^3
If total surface area increased by 2, then the length increased by [tex]\sqrt{2}[/tex]
Volume then is increased by ([tex]\sqrt{2}[/tex]l)^3 = 2[tex]\sqrt{2}[/tex]l^3
1 :2 [tex]\sqrt{2}[/tex]
Which is not an option in the question so this question clearly has a problem.
First of all It's supposed to be "then" not "than," so I'm not sure who teaches math without even knowing this basic grammar.
Second of all, if the answer is 8:1 the question should be "If each sides of a cube is doubled" not "the lateral surface area." Come to think of it what even is lateral surface area of a cube if all sides of the cube is supposed to be same.
Or, if the answer is 2:1 then, it should be If height lateral surface area of a cube is doubled by doubling the height and without changing the length and width" But, then the the shape would no longer be a cube.
Who even wrote this garbage question what.
Find the perimeter and area of this polygon. (Geometry)
Answer:
rectangle= 22*9 = 198ft
triangle=11*10 = 110 ft
110+ 198 = 308 polygon
Can someone please help me
Answer:
that is so hard sorry
What is the equation of the line: * parallel to the line y = -¼x + 5 and * passing through the point (2, -1)
y = -¼x - 1/2
y = ¼x + 2
y = -¼x + 4
y = ¼x - 1
Answer:
last one
Step-by-step explanation:
HELPPPPP PLSSSSSSSSSSSSSSS
Answer: $54.66
Step-by-step explanation:
The 18% turns into 0.18, they mean the same thing.
46.32 * 0.18 = 8.34 (Unsimplified answer: 8.3376)
Add tip to the cost.
46.32 + 8.34 = 54.66
Correct me if it is incorrect.
1. Christina says the graph for the inequality r < -5 will be the same as the graph for the inequality -5 > r. Do you agree or disagree? Justify your reasoning. (Explain)
Answer:
Agree
Step-by-step explanation:
Just copy and paste (without quotations): "I agree because r < -5 is just a flipped inequality of -5 > r. In other words, 'r is less than -5' is the same as '-5 is greater than r'."
help me pleas, I need the energy.
Answer:
negative
Step-by-step explanation:
Answer:
negative
Step-by-step explanation:
as it goes further right, it goes further down, so it is a negative slope
Mai makes her favorite shade of green paint by using 5 cups of blue paint for every 3 cups of yellow paint. Priya makes her favorite shade of green paint by using 7 cups of blue paint for every 5 cups of yellow paint. Whose favorite shade of green paint has more of a blue tint? Explain how you know.
Answer:
Priya
Step-by-step explanation:
Mai= 5:3 Priya=7:5
Mai= 15:15 Priya=21:15
The ratios above are blue:yellow so Priya's shade has more of a blue tint because it is 21:15 and Mai's is 15:15 so it is evenly spread.
Use the formula Sn =a (1 - rn ) ÷ (1 – r) to find the sum Sn for each of the infinite and finite geometric series.
9. The first 9 terms of 12, – 6 ,+ 3, - …
10. The first 15 terms of -1, + 1, -…
11. The first 6 terms of 1, + 3, + …
12. The first 10 terms of 2, – 4, + …
Answer: 11
Step-by-step explanation:
9. The Sum of 9 terms is 513/64.
10. The sum of 15 terms is -1.
11. The sum of 6 terms is 364
12. The sum of 10 terms is -682.
We have,
Sn =a (1 - [tex]r^n[/tex] ) ÷ (1 – r)
9. 12, -6, 3, .....
Here, r= -6/ 12= -1/2
So, S(9)
= 12 (1- [tex](-1/2)^9[/tex])/ (1 - (-1/2))
= 513/ 64
10.-1, +1, -.....
Here, r= 1/ (-1)= -1
So, S(15) = 1 (1- [tex](-1)^{15[/tex])/ (1 - (-1))
= -1
11. 1, 3, .....
Here, r = 3/1 = 3
So, S(6) = 1 (1- [tex](3)^{6[/tex])/ (1 - 3)
= 364
12. 2, -4, ...
Here, r= (-4)/ 2= -2
So, S(10) = -682
Learn more about Geometric Sequence here:
https://brainly.com/question/13008517
#SPJ2
Samantha is about to buy her first new vehicle. She knows the model that she wants but all of the vehicles
available at the dealer's showroom have accessories, like fancy wheel hubs, that she doesn't need or want.
Which of the following is likely to be true?
Answer:
Samantha wants a simple, starter car, or the extra accessories have a higher price than the one's without it.
$ 350 is shared in the ratio 2:5. The SMALLER share is
Answer:
$100
Step-by-step explanation:
sum the parts of the ratio, 2 + 5 = 7 parts , then
$350 ÷ 7 = $50 ← value of 1 part of the ratio , then
2 parts = 2 × $50 = $100 ← smaller share
A professional guitarist charges a flat amount for performances at restaurants and events. He played 6 performances over 2 weeks and made a total of $420. Write an equation and solve for the amount he makes for each performance.
Answer:
The guitarist makes 70$ a performance
Step-by-step explanation:
To find how much he makes per performance we need to make an equation where how much he makes per performance is x
The equation would be:
6×x=420
Then we would divide both sides by 6
6÷6×x=420÷6
which would make the equation
x=70
meaning that the guitarist makes 70$ per performance
Let performances be x
[tex]\\ \sf{:}\dashrightarrow 6x(2)=420[/tex]
[tex]\\ \sf{:}\dashrightarrow 12x=420[/tex]
[tex]\\ \sf{:}\dashrightarrow x=420/12[/tex]
[tex]\\ \sf{:}\dashrightarrow x=35[/tex]
Guys please i need help on this, i will give brainliest to the right answers
i think the answer is 4 hope it helps
Least to greatest (sorry I’m horrible at simple math)
Step-by-step explanation:
Least to greatest
= 0.919, 0.99, 1.09
Answer:.919,099,1.09
Step-by-step explanation:
please help with this problem!!
Answer:
1/9 —> 11 1/9%, 1/3 —> 33 1/3%, 5/9 —> 55 5/9%, and 8/9 —> 88 8/9%
Step-by-step explanation:
Answer:
its easy. just match numbers that look close to each other
Step-by-step explanation:
What is 18x4=9xn? Just tell me the answer.
Answer:
Step-by-step explanation:
x=0
Answer:
8
Step-by-step explanation:
18×4 = 72
And 72 ÷ 9 = 8
So 9×8 would be 72
How much power does it take to lift a 40N object. 8 meters high in 3 seconds. Show work 8)
Answer:
Step-by-step explanation:
power = work / time
work = force x distance
force = newtons
w = fd
w = 40N(8m)
w = 320J
p = w/t
p = 320J/3s
__
p = 106.66
(sixes repeat)
Suppose Bella wanted to make a gift basket worth $25 instead the gift basket must also have more wheat loaves than muffins show one way Bella can make the gift basket
Determine the area of the yellow sector
Answer:
146 is the answer im positive
I need help with pre calculus.
Question 1
Answer: Choice A) -7-----------------
Explanation:
To compute f(g(2)), we'll first need to find g(2).
Locate 2 in the x row. Then read straight down until you get to the g(x) row. You should find that g(2) = 4
This means f(g(2)) becomes f(4). We then repeat the same process as before. Locate 4 in the x row, read straight down til you get to the f(x) row to find that f(4) = -9
Overall, we can say f(g(2)) = -9
We do the same set of steps to compute g(f(-1)). You should find that f(-1) = -1 and g(f(-1)) = g(-1) = -2
Lastly, we subtract the results we got:
f(g(2)) - g(f(-1)) = -9 - (-2) = -9+2 = -7
==============================================
Question 2
Answer: Choice B) 0-----------------
Explanation:
If you were to graph each equation, you should get what you see below.
The red and blue curves do not intersect in any way. We need an intersection point to have a solution. Because there are no intersections, we don't have any solutions. The system is considered inconsistent.
==============================================
Question 3
Answer: Choice B[tex]-2x^2+250x-2000[/tex]-----------------
Explanation:
x = number of scooters made and sold
Each scooter costs $150 to make. If you made x of them, then it costs 150x dollars. Then tack on the fixed cost of $2000 to get the expression [tex]150x+2000[/tex]
The cost function is [tex]C(x) = 150x+2000[/tex]. We'll subtract this from the revenue function R(x) to get the profit P(x)
[tex]\text{Profit} = \text{Revenue} - \text{Cost}\\\\P(x) = R(x) - C(x)\\\\P(x) = (400x-2x^2) - (150x+2000)\\\\P(x) = 400x-2x^2-150x-2000\\\\P(x) = -2x^2+250x-2000\\\\[/tex]
==============================================
Question 4
Answer: Choice B[tex]\left\{x\in \mathbb{R} \big| \ x \ne -2, x \ne 1\right\}[/tex]
-----------------
Explanation:
[tex]g(x) = \frac{1}{x+1}\\\\g(f(x)) = \frac{1}{f(x)+1}\\\\g(f(x)) = \frac{1}{x^2+x-3+1}\\\\g(f(x)) = \frac{1}{x^2+x-2}\\\\g(f(x)) = \frac{1}{(x+2)(x-1)}\\\\(g\circ f)(x) = \frac{1}{(x+2)(x-1)}\\\\[/tex]
I started with the outer function g(x) and replaced each x with f(x) in the second step. Then I plugged in f(x) = x^2+x-3 and simplified. Factoring the denominator is helpful to determine where the denominator becomes zero. Specifically, it happens when x = -2 and x = 1. These x values must be kicked out of the domain to avoid a division by zero error.
So we start off with the real number line, and poke holes at x = -2 and x = 1.
The notation [tex]x \in \mathbb{R}[/tex] means x is a real number. Then we tack on [tex]x \ne -2, x \ne 1[/tex]
Overall, the domain is [tex]\left\{x\in \mathbb{R} \big| \ x \ne -2, x \ne 1\right\}[/tex]
Let's see what happens if we tried plugging x = -1 into this composite function:
[tex](g \circ f)(x) = \frac{1}{(x+2)(x-1)}\\\\(g \circ f)(-1) = \frac{1}{(-1+2)(-1-1)}\\\\(g \circ f)(-1) = \frac{1}{(1)(-2)}\\\\(g \circ f)(-1) = \frac{1}{-2}\\\\(g \circ f)(-1) = -0.5\\\\[/tex]
We don't get a division by zero error, so x = -1 is allowed. The same can be said about any other x value as long as it's not -2 and not 1 either.
JoAnn is making jewelry. Set an expression that shows how much it will cost Joanne for the long length chain bracelet and for b beads that cost $0.30 each. Then find the total cost of the jewelry lol JoAnn uses 34 beads
Answer:
$0.30 x b
$10.20
Step-by-step explanation:
The equation is
$0.30 x b
Since we know JoAnn uses 34 beads, we can replace b with 34
$0.30 x 34 = $10.20
A square plywood platform has a perimeter which is 11 times the length of a side,
decreased by 42. Find the length of a side. (P = 4L)
Answer:
Step-by-step explanation:
Line f has a slope of -9/7. Line g is perpemdicular to f. What is thr slope of line g
At the beginning of spring, Eva planted a small sunflower in her backyard. When it was first planted, the sunflower was 5 inches tall. The sunflower then began to grow at a rate of 2.5 inches per week. How tall would the sunflower be after 4 weeks? How tall would the sunflower be after
w
w weeks
Answer:
A=15 inches. B=h=5+2.5w inches
Step-by-step explanation:
Our starting height is 5 inches.
It grew at a constant rate of 2.5 inches per week.
A. How tall after 4 weeks?
Well, we can solve by making an equation.
height=5inches+2.5(x)
In this situation, x is 4.
Height will be 15 inches.
B. This is just asking for the equation.
We already did that in part a!
We just need to switch x out with w.
h=5+2.5w