Assume z is a standard normal random variable. What is the value of z if the area between –z and z is 0.7580?
to the right is P(z> Z)
so P(z>Z) = 0.9909
P(z< Z) = 1- 0.9909 = 0.0091
Closest values from a z-table
P(z< -2.37) = 0.00889 (-0.00011 away)
p(z< -2.36) = 0.00914 (+0.00014 away)
so the answer must be (c) since it is between -2.36 and -2.37
Marcus builds a brick wall that is 23 bricks across and 130 bricks high. Which is the best estimate of about how many bricks Marcus will use to build the wall
Answer: 2,990 Is the amount of Bricks Marcus will use for the wall
Step-by-step explanation:
If the wall is 130 bricks high and 23 bricks across then all you have to do is 130 x 23 which gives you 2,990
but since the question asks for best estimate just choose the answer closest to 2,990 unles they have 2,990 as an answer
Hope this Helps!
(-x^2 -2) + (2x^2 + -1)
Answer:36
Step-by-step explanation:
x2 - 10x + 25 = 0 2x2 - 2x - 5 = 0 x2 - 16x = 36. This problem has been solved!
A rectangle has one side equal to (2x+4) cm and a perimeter of (6x+4) cm. What is the area of the rectangle in terms of x?
The area of the rectangle in terms of x is 2x² - 8
A rectangle is a quadrilateral with four right angles in the Euclidean plane.
A region's size on a flat or curved surface is expressed in terms of area, a unit of measurement. A surface region or plane area is the area of an open surface or the boundary of a three-dimensional object, whereas a plane region or area refers to the area of a form or planar lamina.A perimeter is a closed path that surrounds, encircles, or defines a length in one dimension or a shape in two dimensions.Given one side of the rectangle is 2x+4 and the perimeter is 6x+4
Let the other side be y.
We know that:
perimeter = 2 × (sum of two sides)
or, 6x + 4 = 2 (2x+4+y)
or,6x + 4 = 4x + 8 + 2y
or, 2x - 4 = 2 y
or, y = x - 2
Now area of the rectangle = product of sides = (x - 2)(2x+4)
Area = 2x² - 4x + 4x - 8
or, Area = 2x² - 8
Hence the area of the rectangle in terms of x is 2x² - 8
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which expression is represented by the pharase "the square of y decreased by the quotient of 28 and 7"?
Answer:
y^2 - 28/7
Step-by-step explanation:
You are a financial advisor. You have a client who is 25 years old and has
$10,000 they want to invest into a retirement account. After investing
this money, the client will not be adding any money to the account. The
money will just let it grow until the client reaches age 65. As you are
helping them decide the best investment for their money, you discover the
following options:
-
Account A pays 7% annual interest, compounded quarterly
-
Account B pays 6.8% annual interest com[ounded monthly
-
Account c pays 7.1% annual interest, compounded yearly.
-
Account D ay 6.9% annual interest, compounded daily.
Since it’s your job to determine the best account for your clients money,
you have to figure out the future value of her money.
You know that the following formula calculates compound interest
Answer:
The first option is the best
Step-by-step explanation:
1 (1+ 07/4)^4 = 7.186 % annual
2 ( 1+.068/12)^12 = 7.0159 % annual
3 7.1 %
4 (1 + .069/365)^365 = 7.143
Lucia has 48 markers and 64 stickers that she wants to give as favors for a party. She wants to put an equal number of markers and an equal number of stickers into each favor bag. She uses all the markers and stickers.
Use the drop-down menus to complete the statements below about the number of bags Lucia can make.
CLEARCHECK
The greatest number of bags Lucia can make is
. Each of these bags will have
markers and
stickers.
If she used more bags,
.
She could use
bags, but this is not the greatest number she could use.
The computation of the factors shows that the greatest number of bags that Lucia can make will be 16.
How to illustrate the factor?From the information given, Lucia has 48 markers and 64 stickers that she wants to give as favors for a party.
The computation of the factors shows that the greatest number of bags that Lucia can make will be calculated through then factors. This goes thus:
Factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48
Factors of 64 = 1, 2, 4, 8, 16, 32, and 64.
Therefore, the highest common factor is 16.
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Answer:
16
Step-by-step explanation:
Natalie Albert deposited checks totaling $1,735,97 into her savings account. She withdrew $100.00 while
depositing some coins. If her total deposit was $1,668.71, how much did Natalie deposit in coins?
Natalie Albert deposited checks totaling $1,735,97 into her savings account, she withdrew $100.00 while depositing some coins. If her total deposit was $1,668.71 then Natalie deposited $32.74 in coins.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let's call the amount Natalie deposited in coins "x".
We know that her total deposit was $1,668.71,
so we can write an equation:
1,735.97 - 100.00 + x = 1,668.71
Simplifying, we get:
1,635.97 + x = 1,668.71
Subtracting 1,635.97 from both sides, we get:
x = 32.74
Therefore, Natalie deposited $32.74 in coins.
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Aldreba 2
Show all work
Answer:
rewrite f(g(-2))
plug in -2 in g(x)
g(x)=-2-3
g(x)=-5
now plug in -5 into f(x)
f(x)=-5^2
f(x)=25
25 is the answer
Answer:
-2x^3+6x^2
or simplified : -2x^2(x-3)
Step-by-step explanation:
Rewrite the statement as:
[tex]((x^2)(x-3))(-2)\\[/tex]
Distribute:
[tex](x^2*x-3*x^2)(-2)\\(-2)(x^3-3x^2)\\-2x^3+6x^2[/tex]
simplify by taking a common factor out, in this case, -2x^2:
[tex]-2x^2(x-3)[/tex]
Find the volume of the prism.
A drawing of a rectangular prism. It has length 1 foot, width mixed number one and one third feet and height one-half foot.
The volume is
cubic feet.
Answer:
2 thirds, or 0.666666666667
Step-by-step explanation:
i need serious help lol
Answer:
A, C, can't see full answers
Step-by-step explanation:
a. 15/3=5 plus 10 is 15
A pipe needs to be cut into pieces that are each 2/5 feet long. If the pipe is 10 feet long, how many pieces can be made from the pipe? Write your answer in simplest form.
Answer:
you can get 4 pieces
Step-by-step explanation:
2.5+2.5+2.5+2.5=10. or 2.5×4=10
In which direction does the parabola defined by the equation x = 2y^2 – 4 open?
Answer:
Upward
Step-by-step explanation:
Upward the graph looks like the above picture.
In 3x2 + 1 = 13, what is x called?
A
Coefficient
B
Expression
C
Variable
D
Range
Answer:
According to this problem, i would say the answer is c
Step-by-step explanation:
a variable examples are letters such as x, y, z, n
The manufacturer of color televisions can sell 1900 sets to his dealers at $575 each. If the price is $470, he can sell 2600 sets. The total cost of producing x television sets is C(x)=3300+608x−0.09x^2. Assuming the demand function is linear, find the price per set that will maximize profit. Round your answer to the nearest cent, if necessary.
Answer:
$545
Step-by-step explanation:
Finding the price that maximizes profit requires several steps. We need the demand function that tells quantity sold in terms of selling price. With this, we can express the cost and revenue functions in terms of selling price. The profit will be the difference between revenue and cost.
__
demandThe demand (q) is said to be a linear function of price (p). The equation for that can be written ...
q(p) = (q2 -q1)/(p2 -p1)(p -p1) +q1 . . . . . for two points (p1, q1) and (p2, q2)
Using the given demand points, this can be ...
q(p) = (1900 -2600)/(575 -470)(p -470) +2600
q(p) = -20/3(p -470) +2600
q(p) = -20/3p +5733 1/3
__
costThe cost function in terms of selling price can be found by substituting the q(p) equation for x in c(x). For the purpose of finding the maximum profit, we only need the marginal cost function:
c(q(p))' = c'(q(p))·q'(p) = (608 -0.18(q(p)))·(-20/3) = (608 -0.18(-20/3p +5733 1/3))(-20/3)
c'(p) = -8p +2826 2/3
__
revenueAs with cost, the function we need for finding the maximum profit is the marginal revenue function. Revenue is the product of price and demand, so the marginal revenue is ...
r(p) = p·q(p)
r'(p) = q(p) +p·q'(p) = (-20/3p +5733 1/3) +p(-20/3)
r'(p) = -40/3p +5733 1/3
__
maximum profitThe maximum profit is found where the marginal profit is zero. In turn, that is found where the difference between marginal revenue and marginal cost is zero:
P = R -C
P'(p) = 0 = r'(p) -c'(p) = (-40/3p +5733 1/3) -(-8p +2826 2/3)
0 = -16/3p +2906 2/3
16p = 8720 . . . . . multiply by 3, add 16p
p = 545 . . . . . . . price for maximum profit
The price per set that maximizes profit is $545.00.
Help picture below problem 12 will give brainlest
Answer:
68°
Step-by-step explanation:
triangle ODB is congruent to triangle FIL. Therefore, angle L is equal to angle B. So angle L is 68°
PLEASE HELP i realy don’t understand this at all
Check the picture below, recall that the radius of a circle is always the same length in the circle.
Sophia goes to an icecream shop to get a medium ice cream that costs $4.50, Sophia only has $6.40 and toppings are $0.75 each. Write an inequality to find how many toppings Sophia can get .
Answer:
x ≤ 2
Step-by-step explanation:
4.5 = medium ice cream
0.75x = toppings, x = amount of toppings
Sophia has $6.4, so 4.5+0.75x has to be less or equal to that.
4.5 + 0.75x ≤ 6.4, solve
0.75x ≤ 1.9
x ≤ 2 8/15
BUT you cannot get half a topping or a fraction of a topping,
so, x ≤ 2 toppings.
Sophia can get 2 or less toppings.
Base in your answer on exploration, what relationship exist between 30o
and 150o, 45o, and135o, and 60o and 120o?
Answer:
they all have a factor of 5
Step-by-step explanation:
What is the surface area, in cm2, of the figure shown above ? Round your answer to the nearest tenth .
Answer:
Hope it helps................
If a kid is 120 cm tall and grows 4 percent taller how tall is he
What are the domain and range of y=-5/6(x+2)^2-8?
PLEASE HELP WILL MARK BRAINIST AND GIVE OUT FREE MORE POINTS IF YOU ARE CORRECT I DO CHECK IT PLEASE AND THANK YOU !!
Answer:
Domain: allrealnumbers
Range: f(x) <= -8
Step-by-step explanation:
This equation shows that this shape is a parabola that is opening downwards (because of the negative in the -5/6)
This means it has a highest point. The x+2 means the curve is shifted/slid/tranlated to the right 2 units and the -8 at the end shows that it is slid/shifted/translated down 8 units. So the curve only exists starting from -8 and going down. That is the range f(x) <= -8
All upward and downward opening parabolas have a domain of all real numbers.
Let's see
[tex]\\ \rm\rightarrowtail y=\dfrac{-5}{6}(x+2)^2-8[/tex]
[tex]\\ \rm\rightarrowtail x\in R[/tex]
As x lies on numerator for all real numbers its true and never gets undefinedDomain is R
Now
[tex]\\ \rm\rightarrowtail y=\dfrac{-5(x+2)^2}{6}-8[/tex]
Vertex form of parabola:-
y=a(x-h)²+kOn comparing with this
Vertex=(h,k)=(-2,-8)Hence
Range :-
y≤-8In an arithmetic sequence of numbers a1 = -4 and a6 = 46. Which of the following is the value of a12?
Answer:
a₁₂ = 106
Step-by-step explanation:
Given
a₁ (first term) = -4a₆ = 46Formula for nth term
aₙ = a₁ + (n - 1)dUsing that to expand a₆ and find d
a₆ = a₁ + (n - 1) d46 = -4 + (6 - 1)d50 = 5dd = 10Finding a₁₂
a₁₂ = a₁ + 11da₁₂ = -4 + 11(10)a₁₂ = 110 - 4a₁₂ = 106Answer:
[tex]a_{12}=106[/tex]
Step-by-step explanation:
Arithmetic sequence
General form of an arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]
where:
[tex]a_n[/tex] is the nth terma is the first termd is the common difference between termsGiven:
[tex]a_1=-4[/tex][tex]a_6=16[/tex]To find the common difference (d), substitute the given values into the general formula and solve:
[tex]\begin{aligned}\implies a_6=(-4)+(6-1)d & =46\\ 5d-4 & =46\\ 5d & = 50\\ d & =10\end{aligned}[/tex]
Therefore, the equation for the nth term is:
[tex]\begin{aligned}a_n &=-4+(n-1)10\\& =10n-14 \end{aligned}[/tex]
To find the 12th term, substitute n = 12 into the equation:
[tex]\implies a_{12}=10(12)-14=106[/tex]
Has this ever happened to you? Describe what took place and your reactions to the incident.
what is the result when 1/8 x - 2 5/7 is subtracted from 3 1/4 x + 7 1/14 ?
Answer:
The answer is
→ [tex]3 \frac{1}{8}x + 9\frac{11}{14}[/tex]
Step-by-step explanation:
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Samuel had 1 7/8 cups of milk. He used 1 5/8 cups of milk to make biscuts. What is the amount of milk, in cups , that samuel had after he made biscuts?
Answer:
1 7/8 - 1 5/8 = 2/8.
Step-by-step explanation:
The amount of milk in cups that Samuel had after he made biscuits is 1/4 cups.
What is Subtraction?Subtraction can be done for any numbers or algebraic expressions. It is the process of taking out certain value from a given amount of number.
The process of subtraction can also be termed as finding difference.
Given that,
Amount of milk Samuel had = 1 7/8 cups
Amount of milk used to make biscuits = 1 5/8 cups
We have to find the amount of milk left after he made the biscuits.
This is found by subtracting the total amount of milk by the amount of milk used to make the biscuits.
Amount of milk left = 1 7/8 - 1 5/8
= 2/8
= 1/4 cups
Hence 1/4 cups of milk will be left.
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Mrs.Watt traveled between two cities that were 750 km apart. On the return trip, she increased her average rate of travel by 20 km/hr and made the trip in 10 hours less time. Find her rate of travel in each direction.
Answer:
Let s = his speed on the outbound trip
Then s + 20 = his speed on the return trip
Let t = his travel time on the outbound trip
Then t - 10 = his travel time for the return trip
Given: d = 750
Since distance = speed x time, for the two trips we have
750 = s*t
750 = (s+20)(t-10)
Solve for t in the 1st equation, substitute in the 2nd:
750 = (s+20)(750/s-10)
Solve for s:
750 = 750 - 10s + 15000/s - 200
Simplify:
s^2 + 20s - 1500 = 0
Factor:
(s+50)(s-30) = 0
Take the positive solution, s = 30
So the rates are 30 kph and 50 kph
PLS HELP Use the net to find the lateral area of the prism. 8 15 17 9
answer choices 473 440 275 352
The lateral area of the prism is the area of the three rectangles in the middle of the net. (The two triangles are the bases of the prism, which don't count toward lateral area.) The total length of the three rectangular prism faces is (8 +15 +17) cm = 40 cm. The width of those rectangles is 9 cm. The lateral area will be the product of this length and width:
... lateral area = (40 cm)(9 cm) = 360 cm²
The table below represents the scores of ten students in Ms. Williams’s class on a math and science test.
Answer: the answer is A or the 1st one
Step-by-step explanation:
Answer:
the answer is the frist one
Step-by-step explanation:
Help help help math math
Answer:
Yes
Step-by-step explanation:
The relation here is we see that the y value is 1 less than the x value.
So, the function can be written as :
y = x - 1And this is clearly a linear function