Answer:
-1.63
Step-by-step explanation:
Plug in the values listed into the equation
([388/1386] - 0.30) / √(0.30[1-0.30)/1386
-0.02006/0.01231
-1.63
Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find the probability of a bone density test score greater than −1.66.
Using the normal distribution, there is a 0.9515 = 95.15% probability of a bone density test score greater than −1.66.
The graph is given by option B.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is given as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure X is above(in case the score is positive) or below(in case the score is negative) the mean of the distribution. From the z-score table, the p-value associated with the z-score is found, representing the percentile of the measure X.In the context of this problem, the mean and the standard deviation of the scores are given as follows:
[tex]\mu = 0, \sigma = 1[/tex]
The probability of a bone density test score greater than −1.66 is one subtracted by the p-value of Z when X = -1.66, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (-1.66 - 0)/1
Z = -1.66
Z = -1.66 has a p-value of 0.0485.
1 - 0.0485 = 0.9515, which is the probability.
The graph of the probability is given at the end of the answer, and in the context of this problem, is given by option B.
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Tim Worker wants to purchase an automobile warranty costing $6,659.
If he chooses to make 48 equal payments, then in dollars and cents the average payment will be $_____
From the given information, the amount that will be paid averagely each month will be $138.73.
From the information given, Tim Worker wants to purchase an automobile warranty costing $6,659 and he chooses to make 48 equal payments.
Therefore, the amount that will be paid each month will be calculated thus:
= $6,659 / 48
= $138.73
The amount will be $138.73.
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How many minutes is 6:45 to 9:25 ?
Answer:
It is 15 minutes from 6:45 to 7:00. From 7:00 to 9:25 it is 2 hours and 25 minutes. Note: one hour is 60 minutes.
15 + 60(2) + 25
15 + 120 + 25
160 minutes
:)
I need help on 40 please
Answer:
A
Step-by-step explanation:
1000 pepperoni pizzas were 40% of total price. 40*2.5=100. That means 1000*2.5 which equals 2500.
how long will it take the wave to reach the shore?
You are buying carpet to cover a room that measures 38 ft by 40 ft. The carpet
cost $18 per square yard. How much will the carpet cost?
Answer:
27360
Step-by-step explanation:
38x40=1520
1520*18=27360
Please help me I don’t know how to solve this
|-4-r|=4
Answer:
r = 0 and r = -8
Step-by-step explanation:
|-4-r|=4
-4 = -4-r = 4
0 = - r = 8
0 = r = -8
When you have absolute value signs, to get rid of the absolute value signs and find the value of the term, you simply add another eqaul sign (=), and add a negative in front (- =). If it is already set to equal a negative, there isn't any solution.
|x| = 4
-4 = x = 4
So x would equal 4 and -4 for this example.
Another example:
|x|=-5
Because it's equal to a negative, the solution is automatically no solution.
The actual answer is r = 0 and r = -8
can some one help me pleaseeee :(
a) 5/8
b) 3/5
Hope this helps
what kind of cup that doesn't hold water
Step-by-step explanation:
cupcake that doesn't hold the water.
y = x square - 4x + 6
At a school
Number of boys : number of girls 11:9
There are 124 boys than girls
Work out the total amount of students at the school
Step-by-step explanation:
Total ratio =11+9
=20
=120/20×124
=744
therefore the number of students are 744
The bulletin board is in the shape of a square. Find two rational numbers that are within 1/8 in. of the actual side length.
Using the formular for the area of a square, the actual side length of the bulletin board is 12.25 inches
Area of a square = s²
s = side length of the squareHence, we have ;
150 = s²
s = √150
s = 12.247
Hence, a rational number within 1/8 inches of the actual side length would be 12.25 inches.
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solve pls brainliest
Answer:
95%
Step-by-step explanation:
19/20=0.95
0.95x100=95%
Tucker rings up an item that costs $35. After sales tax, the total is $37.80. What is the sales tax percentage?
Answer:
3 PERCENT
Step-by-step explanation:
I DID THE QUIZ
Does the following relationship represent a function?
Complete the equation line through (1,4) and (2,2) use exact numbers
Each side of an equilateral triangle has length x+3 and each side of a square has length 4x-2. Write an expression for the sum of their perimeters.
Please help me!!
Answer:
square: 16x-8
triangle: 3x+9
Step-by-step explanation:
Squares have 4 equal sides. Equilateral triangles have 3 equal sides.
Multiply the length of one side by the total number of sides for each shape to find the perimeter. Then combine like terms.
Answer:
square: 16x-8
triangle: 3x+9
Step-by-step explanation:
Given: SR is the perpendicular bisector of QT; QR is the perpendicular bisector of SP
Prove: PQ=TS
Two lines are said to be perpendicular if they are at right angle to each other. The prove that PQ = TS is as stated below:
SR ⊥ QT (given)
QR ⊥ PS (given)
Comparing Δ PQS and ΔQST, we have:
Points Q and T are equidistant to bisector SR (bisection property of a line)
Points P and S are equidistant from QR (bisection property of a line)
QS is a common side to the triangles
Then,
PS ≅ QT (similar property of triangles)
Thus,
PQ ≅ ST (Side-Side-Side (SSS) property of triangles)
Therefore by Side-Side-Side (SSS) theorem, PQ = ST.
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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!9
Answer:
D) -[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
if 2 lines are perpendicular, one line has the opposite reciprocal of the other line.
Answer:
D,_3/2
Step-by-step explanation:
when two lines are perpendicular, m¹=_1/m²
Write 1 over 9 as a decimal and round it to 2 decimal places
Answer:
0.111
Step-by-step explanation:
1/9 as a decimal is 0.11111111 but rounded to 2 decimal places is 0.111.
Hope this helps :)
Have a good day / night
Step-by-step explanation:
1/9 converted to a decimal is 0.11111111111 to round it to any place if it is 5 or greater like this 0.55 rounded would be 0.6 because the second five is greater than four if not greater than four like this: 0.44 the rounded form will be 0.4 then get your answer!
Which of the following expressions is modeled on the number line?
+
-2 -1
+
0
+
1
5
-
-
2
3
4
ܕܠܐ
6
7
-N
8
9
10
-2(3)
02.3
6 = -3
0 0 + 6
The answer is -2 -1
What is the slope of the graph shown below?
Answer:
A -2
Step-by-step explanation:
the line meets up there and it would be rise divided by run and it would get you -2
Answer:
Step-by-step explanation:
You look at where the lines cross a point, which could be (-1,3) and (0,-2). By looking at the graph and using rise over run, your slope would be -5.
what is the first step in solving problem using GMDAS?
Answer:
D
Step-by-step explanation:
Gemdas-this means grouping
exponent, multiplication, Division,addition,
and subtraction order of operations
Sana tama HAHAHAHA
**PLEASE HELP ME**
its pre calc !
Answer:
a32 = -80
Step-by-step explanation:
The generic term of an arithmetic sequence is ...
an = a1 +d(n -1)
Using the supplied values for an and n, we can write two equations that can be solved for a1 and d.
-221 = a1 +d(79 -1)
-14 = a1 +d(10 -1)
Subtracting the second equation from the first, we have ...
-221 -(-14) = (a1 +78d) -(a1 +9d)
-207 = 69d . . . . . simplify
-3 = d . . . . . . . . . . divide by the coefficient of d
Then the value of a1 can be found as ...
-14 = a1 +(-3)(9) . . . . substitute for d in the second equation
13 = a1 . . . . . . . . . . . add 27
__
Using our formula to find the 32nd term, we have ...
an = 13 -3(n -1)
a32 = 13 -3(32 -1)
a32 = -80
The 32nd term of the sequence is -80.
can i have help with geometry??????
Answer:
Yeah sure, but I cant guarantee i will answer all the questions. What grade level?
103.8 is what percent of 64? Round to the nearest thousandth
Answer: 162.1875%. Based on the given conditions, formulate: 103.8 / 64 Convert decimal to fraction:dfrac 1038/10 64Div
Step-by-step explanation:
When we round 7.80576 to 3s f, it is equal to:
Round the quantity to th given place value 13.989 to the nearest tenth
Answer:
13.989 rounded to nearest tenth is 14.0.
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
round
Bonie reduced the size of a photo to a height of 4 in. what is the new width if it was orginally 16 in tall and 8 in wide?
Answer:
i need help with this one too
Step-by-step explanation:
Answer:
2 inches
Step-by-step explanation:
I hope it helps you!
The bakery decides to
make only 100 corn muffins on Tuesday. How many
kilograms of sugar will be needed?
Answer:
we need to know how many kilograms are in each corn muffin to answer that queastion
Step-by-step explanation:
we need to know how many kilograms are in each corn muffin to answer that queastion