Answer:
76.2
Step-by-step explanation:
Use a calculator or chart to find the z-score associated with the probability.
P(Z > z) = 0.02
P(Z < z) = 0.98
z = 2.054
Find the height.
z = (x − μ) / σ
2.054 = (x − 70) / 3
x = 76.2
A market research firm conducts telephone surveys with a historical response rate. What is the probability that in a new sample of telephone numbers, at least individuals will cooperate and respond to the questions
Answer:
The answer is "0.96562".
Step-by-step explanation:
please find the complete question which is defined in the attached file.
Given value:
[tex]\to p = 0.42 \\\\\to q = 1 - p[/tex]
[tex]= 0.58[/tex]
[tex]\to n = 400\\\\\to x = 150 \\\\\to P = \frac{X}{n}\\[/tex]
[tex]= \frac{150}{400}\\\\ = 0.377[/tex]
When:
[tex]\to P(P>0.375)\\\\[/tex]
[tex]=P(\frac{P-p}{\sqrt{ \frac{pq}{n}}}>\frac{0.375-0.42}{\sqrt{\frac{0.42 \times 0.58}{400}}})[/tex]
[tex]=P(Z>-1.82) \\\\=1-P(Z>1.82)\\\\=1-0.034380\\\\ =0.96562[/tex]
Consider the equation: x^2+10x-24=0 First, use the " completing the square " process to write this equation in the form ( x+D )^2 = E and enter the results below x^2 + 10x -24 = 0is equivalent to......? = ?
Answer:
[tex]x^2 + 10x -24 = 0 \: \\ is \: equivalent \: to \: ( x + 2) {}^{2} + 10x - 36=0[/tex]
Step-by-step explanation:
[tex]x^2 + 10x -24 = 0 \\ x^2 + 12x - 2x -24 = 0 \\x(x + 12) - 2(x + 12) = 0 \\ (x - 2)(x + 12) = 0[/tex]
Brand A coffee sells for $7/pound, while Brand B sells for $5.40/pound. How much of each brand of coffee is needed to make 5 pounds that will cost
$6.75/pound?
A. 0.8 pounds Brand A, 4.2 pounds Brand B
B. 2.7 pounds Brand A. 2.3 pounds Brand B
C. 4.2 pounds Brand A. 0.8 pounds Brand B
D. 2.3 pounds Brand A. 2.7 pounds Brand B
Answer:
C. 4.2 pounds Brand A. 0.8 pounds Brand B
Step-by-step explanation:
How much of each brand of coffee is needed to make 5 pounds that will cost
$6.75/pound?
Let the number of pounds for Brand A = x
Let the number of pounds for Brand B = y
Brand A coffee sells for $7/pound, while Brand B sells for $5.40/pound.
$7 × x + $5.40 × y = $6.75 × 5
7x + 5.40y = 33.75.......Equation 1
x + y = 5 .......Equation 2
x = 5 - y
7(5 - y)+ 5.40y = 33.75
35 - 7y + 5.40y = 33.75
35 - 33.75 = 7y - 5.40y
= 1.25 = 1.6y
y = 1.25/1.6
y = 0.78125 pounds.
Approximately to the nearest whole number, Brand B = 0.8 pounds.
x = 5 - y
x = 5 - 0.8 pounds
x = 4.2 pounds
Brand A = 4.2 pounds
A square has a perimeter of 51.6 inches. What is the length of each side?
13 inches
129 inches
12.9 inches
1.29 inches
Answer:
12.9
Step-by-step explanation:
A square has even lengths on each side. Since there is 4 sides on a square. We divide perimeter by 4.
51.6/4 = 12.9 inches
The length of each side of the square is 12.9 inches if perimeter of square is 51.6 inches.
What is Quadrilateral?A quadrilateral is defined as a two-dimensional shape with four sides, four vertices, and four angles.
The perimeter of a square is the sum of the lengths of all its sides.
Let a be the length of each side of the square, then the perimeter P is given by:
P = 4a
We are given that the perimeter is 51.6 inches, so we can set up the equation:
51.6 = 4a
Solving for a, we divide both sides by 4:
a = 51.6/4
a = 12.9
Therefore, the length of each side of the square is 12.9 inches if perimeter of square is 51.6 inches.
To learn more on Quadrilateral click:
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Four students spent $12 on school lunch. At this rate, find the amount 10 students would spend on the same lunch.
Answer:
it's $30 I just know trust meO_o
Step-by-step explanation:
have an amazing day luv
Answer:
10 students would pay for lunch with $30.
Step-by-step explanation:
This is how I know $30 is the correct answer:
1. To figure out how much money it would cost for 1 student I would take the $12 the four students paid for lunch and divide it by 4 so we would know the exact cost for one students lunch (12/4=3 or $3)
2. Now we know $3 is the cost for 1 student. We can now multiply the $3 by 10 (students) so we can get the cost for 10 lunches (3(10)=30 or $30)
3. We got our final answer of $30=10 students lunches.
I hope this helps:)
18 yd = 6 ft
O True
O False
Answer:
True
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
It's the other way around. A yard is three feet.
Which postulate or theorem would you use to prove these two triangles congruent?
Answer:
ASA
Step-by-step explanation:
Both triangles are marked on the Angle, a Side, and Another Angle
Solve the following inequality.
−1
Answer:
any thing, not 1 or -1
Step-by-step explanation:
the equality to any number is either itself or its opposite 1 inequality would be 2-infinite or -2- -infinite and zero
What is the line of reflection between pentagons PQRST and P′Q′R′S′T′?
A. x = 0
B. y = x
C. y = 0
D. x = 1
Answer:
b
Step-by-step explanation:
Answer: D: y = 0
Step-by-step explanation: Hope that helped
Round to the nearest thousand 11,621
Answer:
12,621
Step-by-step explanation:
when rounding there asking for the thousands therefore you have to look at the hundreds place and since there's a six in the hundreds place the one is going to change to a 2 the answer is 12,621
PLS HELP! CLICK HERE!!!!!
Answer:
its 2
Step-by-step explanation:
bc i said so period
JK has endpoints at J(5,9) and K(7, 7). Find the midpoint M of JK.
Write the coordinates as decimals or integers.
Answer:
[tex](6,8 )[/tex]
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]
Simply plug in your coordinates into the midpoint formula to find midpoint:
[tex](\frac{5+7}{2},\frac{9+7}{2} )[/tex]
[tex](\frac{12}{2},\frac{16}{2} )[/tex]
[tex](6,8 )[/tex]
Which expression is equivalent to (2g^5)^3
Answer:
Your answer should be 8g^15
Step-by-step explanation:
If cubed (power of 3) is on a parenthesis, that means you have to cube every expression inside that parenthesis. In order to distribute exponents, mutliply them. This gives you g^5 times ^3, which is g^15. ^3 has to also be distributed to the 2, which is 2^3 = 8. 8 and g^15 is 8g^15.
can i have 300mn + 500mn =_________________________________________________________________________________________________i need help
Answer:
yes it would be 800mn
Step-by-step explanation:
}−2x+2y=−4
{3x+3y=−18
find the solution to the systems of equations
Answer:
Answer=
x=(-2),y=(-4)
and in components form,
(-2,-4)
Step-by-step explanation:
equation1 (-2x+2y=-4)
equation2 (3x+3y=-18)
(times equation 1 by 3 and times equation 2 by 2, to make the y values equal to each other)
E1 (-6x+6y=-12)
E2 (6x+6y=-36)
(subtract both equations from each other)
-6x+6y=-12
-
6x+6y=-36
=(-12x=24)
so, x=24÷-12=-2
(then we sub the value of x into one of the equations- the new one or the old one)
3x+3y=-18
(3×-2)+3y=-18
3y=-18+6=-12
y=-12÷3=-4
x/2.4+39=239
show work
Answer: x = 480
Steps: x/2.4 + 39 = 239
Subtract 39 from both sides: x/2.4 + 39 - 39 = 239 - 39
Simplify: x/2.4 = 200
Multiply both sides by 2.4: x/2.4 × 2.4 = 200 × 2.4
Simplify: x = 480
Plz mark brainliest:)
angle 4 and angle 5 are ??? angles will mark brainiest
Answer:
Alternate interior
Step-by-step explanation:
They are inside making them interior angles and they are on opposite sides making them alternate angles as well.
Hope this helps!
Answer:
alternate interiorStep-by-step explanation:
alternate interior angles are congruent if and only lines are parallel.
∠4 ≅ ∠5
Problem #1: A group of 5 people went white water rafting. They spent a total of
$1000. They made a deposit of $50 per person and paid $125 an hour to rent the
equipment needed. How many hours did they spend white water rafting? I
Problem #2:
$750
They spent 6 hours white water rafting.
$50x5=250
$250- $1000=$750
If f(x) = 3x2 + 2x - 2, find f(8) - f(-5)
Answer: 143
Step-by-step explanation:
f(8) = 3(8)^2 + 2*8 - 2 = 3*64 + 16 - 2 = 192 + 16 - 2 = 206
f(-5) = 3(-5)^2 + 2*(-5) - 2 = 3*25 + (-10) -2 = 75 - 10 - 2 = 63
f(8) - f(-5) = 206 - 63 = 143
Miki bought some erasers at the school store for $0.39. After
paying for the erasers, she had $0.13 left. Which amount is a
reasonable estimate of the money Miki had to start with?
tina eats 8 crackers for a snack each day at school. on Friday she drops 3 and only eats 5. how many did tina eat during the week?
Answer:
52
Step-by-step explanation:
8x5-3+5=?
2 times what equals 84
Answer:
42
Step-by-step explanation:
Let x be the missing number in the equation
Write out the equation: 2x = 84Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x = 42
I hope this helps!
{(0, -8), (5,3), (-4,3), (9, 2)}
Does the following relation represent a function?
A.Yes
B.No
Answer:
Yes
Step-by-step explanation:
If you look at all of the x values: 0,5,-4,9
You can see that none of them repeat. This makes it a function.
What is the angle relationship?
Solve -19x-1=-12x+34
Answer:
x=-5
Step-by-step explanation:
you're welcome
I need help with my homwork, and understanding how to solve it
Problem:
Answer:
Sorry, I cant read whole problem. Edit your question and ill fix my answer
Step-by-step explanation:
what integer represents a gain of $9
please help. I will mark brainleist
Write an equation in slope-intercept form of the line
4. with slope -6 that contains a point (8,-6)
Answer:
y=-6x+42
Step-by-step explanation:
answer is able
sin theta= 0.86
sin theta= -0.05
cos theta = 0
0= -2-2tan theta
-3 + 1/4 tan theta = -11/4
4-8cos theta= 0
4= 3tan^2 theta + 3
4sin^2 theta-5 = -4
root 2 tan theta + 2 tan theta = -2 tan theta cos theta + 2 tan theta
3cos theta- 2 cos^2 theta =1
2 root 3 sin^2 - sin^2 theta = 3 sin theta - sin^2 theta
ILL GIVE BRAINLIEST
Answer:
0.24
Step-by-step explanation: