Answer:
0.1749
Step-by-step explanation:
We are to find the probability that none of the house-holds tuned to 50 minutes.
P(tune to 50 minutes) = 0.16
p = 0.16
q = 1 - 0.16
q = 0.84
number of households (n) = 10
x = number of households that tuned at 50 minutes
since none of the household tuned, then:
x = 0
Using the binomial expression:
[tex]P(x=x) ^nC_xp^xq^{(n-x)}[/tex]
[tex]P(x=0) = ^{10}C_0 \ (0.16)^0 \ (0.84)^{(10-0)}[/tex]
[tex]P(x=0) = \dfrac{10!}{(10-0)!0!} \ (0.16)^0 \ (0.84)^{(10)}[/tex]
[tex]P(x=0) = 1 \times \ 1 \times 0.1749[/tex]
P(x =0) = 0.1749
I could use some help on this, thank you!
Answer:
B
Step-by-step explanation:
[tex]y = 3x - 5 = 37 \\ 3 \times 14 = 42 \\ 42 - 5 = 37[/tex]
1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+3+3+3+3+3+3+3776857867458675894678476845768478574=
Answer: 3776857867458675894678476845768478614
Step-by-step explanation:
Because it is lol
Lol i think its wrong
Answer:3776857867458675894678476845768478614
The third grade students collected 90 cans of food for a food drive. They want to put an equal number of cans into each of 6 boxes. How many cans will they put into each box?
Answer:
15
Step-by-step explanation:
90/6
10x6=60
90-60=30
6x5=30
30-30=0
10+5=15
the image in down there attached
Answer:
D
Step-by-step explanation:
For this one, you want to solve it similarly to linear equations.
-13x+11<-24x by adding 24x to both sides becomes 11x<11.
From there, you divide by 11 to isolate x, leaving x<1.
Since the equation has a < symbol (not ≤), the dot is not filled in. X is less than 1, so the arrow goes to the left, making it D.
**This content involves solving and sketching linear inequalities, which you may wish to revise. I'm always happy to help!
3 (4y + 1 ) -20 help
Answer:
-5
Step-by-step explanation:
3x4=12
3x1=3
12y+3
15-20=
-5
【☆】★【☆】★【☆】★【☆】★【☆】【☆】★【☆】★【☆】★【☆】
My approach to this problem was to simplify the expression.
3( 4y + 1) - 20y
12y + 3 - 20y (expanded the brackets)
-8y + 3 (collected like terms)
The answer is B.
【☆】★【☆】★【☆】★【☆】★【☆】【☆】★【☆】★【☆】★【☆】
Me need help on this
Answer:
1385 mi to find the area A=21(21)(3.14)
A=441(3.14)
1384.74 round to the nearest 10th is 1385
Which variable in the following equation represents the slope of the line? y=mx+b
Simplify. Remove all perfect squares from inside the square root.
[tex] \sqrt{30b { }^{5} } [/tex]
heyy pls answer quickly i need help on math again
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Explanation:
y = 5 because the long leg is exactly sqrt(3) times that of the short leg.
The short leg is always opposite the 30 degree angle.
The hypotenuse x is twice that of y, so x = 2y = 2*5 = 10
All of these rules only apply to 30-60-90 triangles. You can use trig ratios as an alternative route.
The following table represents the highest educational attainment of all adult
residents in a certain town. If a resident who is aged 40-49 is chosen at random, what
is the probability that they have completed a master's degree? Round your answer to
the nearest thousandth.
Answer:
≈0.576
Step-by-step explanation:
Age under 40: 871+870=1741
Total with master’s degree: 3023
Probability: 1741/3023
≈0.576
Jeremy is training for a race. When he
trains, he runs on a path that is
1.25 miles long. Last week, Jeremy ran
on the path 7 times. How many miles
did Jeremy run on the path last week?
PLSSS HELP!! (Determine the value of x.)
Answer:
X=4
Step-by-step explanation:
(2x-5)+(4x-1)=7x-10
2x-5+4x-1=7x-10
6x-6=7x-10
6x=7x-4
x=4
What is an equation of the line that passes through the point (2;8) and has a slope of 3?A.y= 3x-2
B.y= 3x-22
C.y= 3x+ 2
D.y= 3x+ 22
Answer:
The letter C is the answer.
Given JKMN is a square and NM= 4x and KM = 6x - 16, find all missing angle measures and side lengths.
Answer:
The side lengths are 32 units each
Step-by-step explanation:
Given
[tex]NM= 4x[/tex]
[tex]KM = 6x - 16[/tex]
Required
The side lengths and missing angles
Since JKMN is as square, then:
[tex]NM = KM[/tex] -- all sides are equal
[tex]4x = 6x - 16[/tex]
Collect like terms
[tex]4x - 6x = - 16[/tex]
[tex]-2 x = - 16[/tex]
Divide by -2
[tex]x = 8[/tex]
Substitute [tex]x = 8[/tex] in [tex]NM= 4x[/tex]
[tex]NM = 4 * 8[/tex]
[tex]NM = 32[/tex]
The missing angles can't be solved without an attachment.
However, if the missing angles are the angles at the edges of the square, then they measure 90 degrees each (i.e. angles at right angle)
Rebecca is comparing two prices of peanut
butter. Peanut butter A has 12 ounces and
costs $6.00. Peanut butter B has 32 ounces and
costs $18.00. Which one is a better buy?
Answer:
Peanut butter A is the better buy,
Step-by-step explanation:
To compare them directly, we can find the price per ounce for each peanut butter.
Peanut butter A has 12 ounces and costs $6, thus, each ounce is [tex]\frac{6}{12}=\$0.50[/tex]
Peanut butter B has 32 ounces and costs $18, thus, each once is [tex]\frac{18}{32}\approx\$0.56[/tex]
Therefore, Peanut butter A is the better buy.
The measure of central angle XYZ is 1.25 radians.
Circle Y is shown. Line segments X Y and Z Y are radii. The length of X Y is 8. The major angle of X Y Z is shaded.
What is the area of the shaded sector?
10 units2
20 units2
40 units2
80 unit
Answer:
The correct answer is C:
40π units²
Step-by-step explanation:
Just took it on edg
8x+20y=-120 as slope
Answer:
y = -2/5x -6
slope is -2/5
y intercept -6
Step-by-step explanation:
8x+20y=-120
Slope intercept form is y = mx+b where m is the slope and b is the y intercept
Subtract 8x from each side
8x -8x+20y= -8x-120
20y = -8x - 120
Divide by 20
20y/20 = -8x/20 -120/20
y = -2/5x -6
*PLS HELP WILL MARK BRAINLIEST 100 POINTS* A moving truck 7 feet wide and 13 feet high is approaching a semi-circular brick archway. The base of the
archway is 28 feet wide. The road under the archway is divided, allowing for two-way traffic. If the truck remains just
to the right of the median, will it be able to pass under the archway without damage?
Answer:
No
Step-by-step explanation:
Think of the archway as a semicircle with a radius of 28/2 = 14
The diagonal of the truck is like the hypotenuse of a right triangle with legs of 7 and 13
c² = a² + b²
c² = 7² + 13²
c² = 49 + 169
c² = 218
c = 14.76
Since the diagonal of the truck is greater than the radius of the arch the truck will NOT pass without damage
Find BD. NO LINKS ALLOWED PLEASE.
Answer:
Step-by-step explanation:
You have an angle bisector in AD. That means the sides are in proportion to to BD and DC
It's much easier just to look at the proportion.
AB / BD = AC/DC
18 / (3x - 3) = 15/(x + 5) Cross multiply
18*(x + 5) = 15 (3x - 3) Remove the brackets
18x + 90 = 45x - 45 Switch the sides.
45x - 45 = 18x + 90 Subtract 18x from both sides
-18x -18x
27x - 45 = 90 Add 45 to both sides
+45 45
27x = 135
x = 5
But that's not the answer (even though it is correct). You want BD
BD = 3x - 3
BD = 3*5 - 3
BD = 15 - 3
BD = 12
A bouncy ball is dropped such that the height of its first bounce is 2.75 feet and each
successive bounce is 69% of the previous bounce's height. Write a recursive formula
to represent the height of the nth bounce of the ball.
The value 2.75 goes in the first box, since it's the first term.
The expression [tex]0.69*a_{n-1}[/tex] goes in the second box. The second line says "to get the nth term, we multiply the previous term by 0.69"
How can we simplify this expression below into a single logarithm? 3log(x)+1/2log(4y)−log(z)
Answer:
[tex]log(\frac{2x^3\sqrt{y} }{z} )[/tex]
Step-by-step explanation:
We can start by using the power property of logarithms to rewrite the expression. We raise the contents of the logarithm to the power of the coefficient:
[tex]log(x^3) + log([4y]^\frac{1}{2} )-log(z)\\log(x^3) + log(2\sqrt{y})-log(z)[/tex]
Now, we can use both the addition and subtraction properties of logarithms to rewrite the expression. Addition becomes multiplication while subtraction becomes division:
[tex]log(\frac{x^3*2\sqrt{y}}{z} )[/tex]
And to write it in a more proper way:
[tex]log(\frac{2x^3\sqrt{y} }{z} )[/tex]
solve y= -2^(-x-3)= -4
2. Write an inequality for each of the
following situations:
The temperature was less than 7° F.
You must be at least 42 inches tall to ride
the rollercoaster.
The repairs to the car will be at least $125.
You need to sell atleast 25 tickets.
You cant be more than 40 pounds to ride the ponies
There were less than 12 people in my class
Answer:
the temperature is 6 degress fair hight you are 42inches while riding the ride
There are 5 boys and 10 girls in the glee club. Which ratio represents the number of boys in the club to the total number of students in the club?
Answer:
5:15 or can be simplified to 1:3
Step-by-step explanation:
There are 5 boys out of 15 total students in glee club.
Let U(-7,5) and V(4, -3). What is the length of UV? Round your answer to the nearest 10th
Answer:
13.60units
Step-by-step explanation:
Given data
U(-7,5) and V(4, -3)
x1=-7
y1=5
x2= 4
y2= -3
The expression for the distance between two points is
d=√((x_2-x_1)²+(y_2-y_1)²)
substitute
d=√((4-(-7))²+(-3-5)²)
d=√((4+7))²+(-8)²)
d=√(11)²+(-8)²)
d=√121+64
d=√185
d=13.60units
Hence the distance is 13.60units
Please help I’ll give brainliest
who could help me out with this
Answer:
can you send a picture of the drop down menus, i cant see the option choices so i cant help
Step-by-step explanation:
. A copy machine can duplicate 2400 copies in one hour. How many copies can it make per minute?
What is the value of x in the figure?
90
70
60
50
Answer:
50
Step-by-step explanation:
90-30=60
x + 10 = 60
-10
x = 60-10
x = 50
Evaluate the question.
-8x = 90
A.) x = 82
B.) x = 45/4
C.) x = -45/4
D.) x = -82
Answer:
C.) x = -45/4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-8x = 90
Step 2: Solve for x
[Division Property of Equality] Divide -8 on both sides: x = 90/-8Simplify: x = -45/4