Answer:
8
Step-by-step explanation:
PEMDAS, Parentheses, Exponents, Multiply, Divide, Add, Subtract
First, I multiply, not because it comes first in pemdas, but because you go left to right. So 2x9=18 and then you divide, 18/6=3 and then you add, 3+5=8. If you have any question I will be here!
which number line correctly shows .8 + .3
Answer:
The second line.
Step-by-step explanation:
The line starts off at 0 and goes up to 0.8.
As you can see it goes up .3 more.
.8 + .3 = 1.1
just as 8 + 3 = 11 but with decimals.
A normal population has a mean of 60 and a standard deviation of 12. You select a random sample of 9. Compute the probability the sample mean is : (a). Greater than 63. (b). Less than 56. (c). Between 56 and 63.
Using the normal distribution and the central limit theorem, it is found that there is a:
a) 0.2266 = 22.66% probability that the sample mean is greater than 63.
b) 0.1587 = 15.87% probability that the sample mean is less than 56.
c) 0.6147 = 61.47% probability that the sample mean is between 56 and 63.
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, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
Mean of 60, thus [tex]\mu = 60[/tex].Standard deviation of 12, thus [tex]\sigma = 12[/tex].Sample size of 9, thus [tex]n = 9, s = \frac{12}{\sqrt{9}} = 4[/tex].Item a:
This probability is 1 subtracted by the p-value of Z when X = 63, so:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{63 - 60}{4}[/tex]
[tex]Z = 0.75[/tex]
[tex]Z = 0.75[/tex] has a p-value of 0.7734.
1 - 0.7734 = 0.2266
0.2266 = 22.66% probability that the sample mean is greater than 63.
Item b:
This probability is the p-value of Z when X = 56, so:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{56 - 60}{4}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a p-value of 0.1587.
0.1587 = 15.87% probability that the sample mean is less than 56.
Item c:
This probability is the p-value of Z when X = 63 subtracted by the p-value of Z when X = 56.
These p-values were found in the previous items, so:
0.7734 - 0.1587 = 0.6147
0.6147 = 61.47% probability that the sample mean is between 56 and 63.
A similar problem is given at https://brainly.com/question/24663213
A pole that is 2.6 m tall casts a shadow that is 1.26 m long. At the same time, a nearby tower casts a shadow that is 37.25 m long. How tall is the tower?
Answer:
Step-by-step explanation:
The ratio of height to shadow length will be proportional.
2.6 / 1.26 = h / 37.25
h = 37.25(2.6)/1.26 = 76.865079...
h = 76.9 m
Convert the unit measure
Find the slope of the line passing through the points (-7.6) and (-7.-2).
Answer:
Undefined
Step-by-step explanation:
the equation for slope is y2-y1/x2-x1
(-2-6)/(-7-(7))= -8/0
This would leave you with an undefined slope.
Michelle divided her birthday cake into sixteen pieces and gave one piece to each of her nine friends. Express the total number of pieces of cake she gave to her friends as a fraction.
Answer:
give me 1 min ill answer it
Step-by-step explanation:
30 miles in 4 hours in simplest form
Answer:
15/2
Step-by-step explanation:
30/4=7.5convert the decimal to a fraction7.5 would give you 15/2 in fraction formsince you can't simplify 15/2 anymore, 15/2 would be your answer.Rose and Liz both belong to a club of 20 members. A committee of 4 is to be selected at
random from the 20 members. Find the probability that both Rose and Liz will be
selected
Using the hypergeometric distribution, it is found that there is a 0.0316 = 3.16% probability that both Rose and Liz will be selected.
Hypergeometric distribution:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. N is the size of the population. n is the size of the sample. k is the total number of desired outcomes.In this problem:
Club has 20 members, hence [tex]N = 20[/tex]The committee has 4 members, hence [tex]n = 4[/tex]Rose and Liz are 2 of the members, hence [tex]k = 2[/tex]The probability that both are selected is P(X = 2), hence:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,20,4,2) = \frac{C_{2,2}C_{18,2}}{C_{20,4}} = 0.0316[/tex]
0.0316 = 3.16% probability that both Rose and Liz will be selected.
A similar problem is given at https://brainly.com/question/24826394
Find x (in degrees) in the following quadrilateral.
Answer:
x = 110°
Step-by-step explanation:
The sum of the interior angles in a quadrilateral is 360°. This means:
x + x + x - 30 + 1/2x + 5 = 360° - we can simplify this
3 1/2x - 25 = 360° - now add 25 to both sides
3 1/2x = 385 - finally divide both sides by 3 1/2
x = 385 ÷ 3.5 = 110
x = 110°
Hope this helps!
What is the radius of a hemisphere with a volume of 6496 (cm to the third power) to the nearest tenth of a centimeter?
Answer:
14.6cm
Step-by-step explanation:
The volume of a hemisphere is 2/3 × π × r³ → 6496 = 2/3 × π × r³. You can divide both sides by 2/3π to get r³ on its own → 3103.611531 = r³. To find r, cube root both sides → r = ∛3103.611531 = 14.5835... ≈ 14.6cm.
Hope this helps!
The radius of a hemisphere with a volume of 6496 is 14.5 cm
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The volume of a hemisphere is given by the formula V = (2/3)πrr³.
Since we are given the volume of the hemisphere, we can solve for the radius as follows:
V = (2/3)πr³
6496 = (2/3)πr³
Multiplying both sides by 3/2π, we get:
r³ = 6496 × (3/2π)
=6496×3/2×3.14
=19488/6.28
=3103.1
=∛3103.1
radius=14.5
Hence, the radius of a hemisphere with a volume of 6496 is 14.5 cm
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
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A computer is on sale for 45% off the original price of $879. If you use the store credit card, you can receive an additional 10% off of the sale price.
What is the final price of the computer if you use the store credit card?
Answer:
$395.55
Step-by-step explanation:
45%+10%=55%
100%-55%=45%
Since 45% is 45/100 in fractions, use that x 879 for the final price.
45/100x879=395.55
Hope this helps! Thanks.
Answer:
435.11
Step-by-step explanation:
First find the sale price of the computer. Then take the additional 10% off of the sale price.
Help ASAP! i will give brainliest!
9514 1404 393
Answer:
-3/4a^3b^23.2·10^-1-0.1a^(n+1)Step-by-step explanation:
To find the cube root, divide all of the exponents by 3. For a cube root, the sign is unchanged.
A) ∛(-27/64a^9b^6) = -∛(3^3/4^3·a^9·b^6) = -3/4a^3b^2
__
B) 9.6×10^-8 ÷ (3×10^-7) = (9.6/3)×10^(-8-(-7)) = 3.2×10^-1
__
C) ∛(-0.001a^(3n+3)) = -∛(0.1^3·a^(3n+3)) = -0.1a^(n+1)
How do I solve the following equation
Answer:
z = 72
Step-by-step explanation:
-1/4z + 12 = -6
× 4
-z + 48 = - 24
-z = - 72
z = 72
PLEASE HELP ME WITH THIS PLEASE!!!!!
Answer:
9)x=-4
10)x=5
11)x=4
12)x=-9
13)x=-8
14)x=-3
Step-by-step explanation:
A triangle is 180º total so just add the numbers togeather and make an equation where they x+#s=180.
Need done ASAP
Mr. Brauch tells Granny that there's no way that ABC =
ADEF. Granny tells
him That they are not only congruent, but she can prove it by SSS. Who is right?
Answer:
Granny is correct
Step-by-step explanation:
Hope it helps
I NEED URGENT HELP PLSS
Answer:
try b or c hop this help have a good day
Answer:
D
Step-by-step explanation:
the answer is D.. nothing to say step by step
At a charity fund-raiser, adult tickets were sold for $8 each and children's tickets were sold for $3 each. Write an algebraic
expression for the total amount of money raised from the sale of tickets. How much money was raised if the fundraiser sold
240 adult tickets and 378 children's tickets?
Based on the cost of the adult tickets and the children's ticket, the expression that can find the amount raised is 8x + 3y.
Also if those number of tickets were sold, the amount realized would be $3,054.
The total amount raised can be found as:
= (Number of adult tickets x price of adult tickets) + (Number of children's tickets x price of children's tickets)
Assuming the adult tickets are x and the children's tickets are y, the equation would be:
= (x × 8) + (y × 3)
= 8x + 3y
If 240 adult tickets and 378 children's tickets are sold, the amount realized would be:
= 8x + 3y
= (8 x 240) + (3 x 378)
= $3,054
In conclusion, the relevant expression is 8x + 3y and the amount raised would be $3,054.
Find out more at https://brainly.com/question/7268387.
Question below
Answer choices
A) Zhen spends 6 1/2 hours working for every hour of the completed audiobook.
B) Zhen completes 6 1/2 audiobooks in an hour
C) Zhen spends 6 1/2 hours working per audiobook
DISCLAIMER I AM IN MIDDLE SCHOOL NOT COLLEGE
for every completed length of audiobook, Zhen spends 6.5 hours working.
C.Zhen spends 6 1/2 hours working per audiobook
Contains (5,8) and is parallel to the graph of 2x + 3y = 9.
Answer:
[tex]\displaystyle y = -\frac{2}{3} x + \frac{34}{3} \text{ or } 2x + 3y =34[/tex]
Step-by-step explanation:
We want to find the equation of a line that contains the point (5, 8) and is parallel to the graph of:
[tex]\displaystyle 2x + 3y = 9[/tex]
Recall that parallel lines have equal slopes.
Find the slope of the given graph by rewriting it in slope-intercept form:
[tex]\displaystyle \begin{aligned} 2x + 3y & = 9 \\ \\ 3y & = -2x + 9 \\ \\ y & = -\frac{2}{3} x + 3 \end{aligned}[/tex]
Hence, the slope of the given graph is -2/3. Therefore, the slope of our new line must also be -2/3.
Since we now have a slope and a point, we can consider using the point-slope form:
[tex]\displaystyle y - y_1 = m(x-x_1)[/tex]
Substitution yields:
[tex]\displaystyle y - (8) = -\frac{2}{3}(x -( 5))[/tex]
We can simplify this into slope-intercept form:
[tex]\displaystyle \begin{aligned} y - 8 & = -\frac{2}{3} x + \frac{10}{3} \\ \\ y & = -\frac{2}{3} x + \frac{34}{3}\end{aligned}[/tex]
Or, into standard form:
[tex]\displaystyle \begin{aligned} y & = -\frac{2}{3}x + \frac{34}{3} \\ \\ 3y & = -2x + 34 \\ \\ 2x + 3y & = 34 \end{aligned}[/tex]
the sum of 2 numbers which are in a ratio 2:5 is 21 what are the numbers
Ratio = 2 : 5
Numbers = 2x & 5x
[tex]2x + 5x = 21 \\ 7x = 21 \\ x = 21 \div 7 \\ x = 3[/tex]
Numbers :-
2x = 2 × 3 = 6
5x = 5 × 3 = 15.
The numbers are 6 & 15.
A recipe called for the ratio of sugar to flour to be 10:3, if you used 70 ounces of sugar, how many ounces of flour would you need to use
Answer:
21 ounces of flour
Step-by-step explanation:
10/3 = 70/x
isolate the so that it is on the top, so multiply by x on the right and on the left
this gives you:
x*10/3=70
try to isolate x and multiply by 3 to get rid of the denominator
x*10=70*3
x*10= 210
finally isolate x by dividing by 10 and getting rid of the 10 multiplying with it
x= 210/10
x=21
you need 21 ounces of flour if you have 70 ounces of sugar you can double check by making sure the ratio of 10/3 is equal to 70/21 and of course they both equal 3.33 repeating, therefore your answer is correct Hope that helps
Answer:
You would need 21 ounces of flour
Step-by-step explanation:
sugar:flour
10:3
10x7=70
70:?
3x7=21
70:21
Mrs. Gonzalez bought a puzzle for $10.95, a board game for $15.95, and a table lamp for $17.10. After tax, the total amount due was $46.86. What is the sales tax rate written as a percent? Round to the nearest tenth if necessary.
Answer:
6.5%
Step-by-step explanation:
15.95+10.95+17.10 = 44
46.86-44 = 2.86
2.86/44 = 0.065
0.065 = 6.5%
HELP ME!!!! MY HOMEWORK IS SOOO CONFUSING
i thing the answer is D the last chart
the calories in a breakfast sandwich come from three sources: 144 calories are from carbohydrates 108 calories are from fat and 56 calories are from protein use properties of addition to find the total number of calories in the sandwich
Answer:
308
Step-by-step explanation:
144+108+56=308
On Friday, 0.325 of the students in
Keisha's math class were absent. What
percent of the students were absent?
Look at picture for choices!! Quick!!
Answer:
The answer is A
Step-by-step explanation:
A is equal to the amount of students that were absent.
The graph of y=f(x) is shown.
Please answer, will mark BRAINELIST!
Answer:
attached
Step-by-step explanation:
Answer:
Turning point coordinates: (1,4)
Roots: -1, 3
y = - (x - 1)^2 + 4
Step-by-step explanation:
HELP PLZ ASAP!!!!
A landfill has 60,000 tons of waste in it. Each month it accumulates an average of 360 more tons of waste. What is a function rule that represents the total amount of waste after m months? Let W represent the total amount of waste and m represent months.
A. W= 360m + 60,000
B. W= 60,000m + 360
C. W= 360m - 60,000
D. W= 60,000m - 360
Answer:
Step-by-step explanation:
Your answer is A.
Anytime you have a variable or something that changes such as the month that is a variable so that means its going to be your x/m in this case
Please help ME I NEED THIS also theres a photo
Set-up an equation to model the problem, then solve that equation:
You bought a magazine for $5 and four erasers. you spent a total of $25. How much did the eraser cost?
Answer:
$5 + 4x = 25
Step-by-step explanation:
let x = eraser
4 × x = 4x
$5 + 4x = $25
5/6 x 15 in simplest form
Answer:
25/2
Step-by-step explanation:
5/6 x 15=12.5
12.5 in simplest form is 25/2