Answer:
0.1426 = 14.26% probability that at least one of the births results in a defect.
Step-by-step explanation:
For each birth, there are only two possible outcomes. Either it results in a defect, or it does not. The probability that a birth results in a defect is independent of any other birth. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC).
This means that [tex]p = \frac{1}{33}[/tex]
A local hospital randomly selects five births.
This means that [tex]n = 5[/tex]
What is the probability that at least one of the births results in a defect?
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{5,0}.(\frac{1}{33})^{0}.(\frac{32}{33})^{5} = 0.8574[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8574 = 0.1426[/tex]
0.1426 = 14.26% probability that at least one of the births results in a defect.
WILL GIVE BRAINLIEST (URGENT)
Answer:
C
Step-by-step explanation:
Answer:
C 1/5 is the coorect answer
Step-by-step explanation:
PLEASE HELP
Which statement is always true? O A vertex is the intersection of two planes. O An edge is where two planes intersect in a line. O A face is the point where three planes meet. OTwo planes have to intersect each other.
Answer:
the first one
Step-by-step explanation:
it's the first one
Answer:you will have to split it in half
Step-by-step explanation:
I just did something like this
Foresters want to estimate the average age of trees in a stand. Determining age is cumbersome, because one needs to count the tree rings on a core taken from the tree. In general, though, the older the tree, the larger the diameter, and diameter is easy to measure. The foresters measure the diameter of all 1132 trees and find that the population mean equals 10.3. They then randomly select 20 trees for age measurement
Answer:
hello your question has some missing information attached below is the missing information
answer : mean ratio of estimate = 117.62
standard error ( SE ) = 3.9765
Step-by-step explanation:
Given data : n = 20, μx = 10.3 , N = 1132
∑ age ( yi) = ( 125 + 119 + --------- + 99 ) = 2148
∑ ( Y - rX)^2 = 6116.728
mean of age ( y ) = ∑ y / 20 = 2148 / 20 = 107.4
mean of diameter ( x ) = ∑x /20 = 188.1 / 20 = 9.405
∴ ratio estimate = y /x = 107.4 / 9.41 = 11.4195
i) The mean of ratio estimate
= 11.4195 * μx = 11.4195 * 10.3 = 117.6204
ii) determine the standard error ( SE )
calculate ; [tex]s^{2} _{r}[/tex] = 1 / ( n-1 ) * ∑ (Y - rX)^2 = 1/19 ( 6116.728 ) = 321.933
Var ( μr ) = [ ( N - n ) / N*n ]*[tex]s^{2} _{r}[/tex] = [ ( 1132 - 20 ) / (1132*20) ] * 321.933
= 15.81226
therefore the SE = √15.81226 ≈ 3.9765
4) What is the total cost (tax and price) on a purchase of $108.50 if the sales tax is 8%?
D) $195.30
A) $86.50
B) $8.68
C) $117.18
Find the quotient of 5 ÷ 1 8 .
A.5/8
B.8/5
C.4
D.40
5÷18
answer D 40 quotient
2x+2y= 24
x=3y
What is the value of x+y?
Answer:
x = 9
y = 3
Step-by-step explanation:
2x + 2y = 24 is the same as x + y = 12
using substitution, x = 12-y
12 - y = 3y
12 = 4y
y = 3
x = 3(3)
x = 9
The value of x + y for the given system of equations 2x+2y= 24 and x=3y will be 12.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
The equation must be constrained with some constraints.
As per the given system of equations,
2x+2y= 24
x=3y
Take common 2 from 2x+2y= 24 as
2(x + y) = 24
Divide by 2 into both sides
x + y = 12
Hence "The value of x + y for the given system of equations 2x+2y= 24 and x=3y will be 12".
For more about the equation,
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If a car's cost, when new, is
$15,000, the rate of
depreciation is 30%, how
much will the car be worth in
6 years?
Answer:
$27 000
Step-by-step explanation:
15 000*30*6÷100
=$27 000
Add 12 and 8 and then divide by 8 as an expression help please
Answer:
(12 + 8)/8 = 2.5
Answer:
12 + 8/8 =?
20/8 =?
20/8 = 2.5
Step-by-step explanation:
•°•°•°•°•°•°•
five billion, twenty-four million, five and six thousandths
Answer:
5,024,000,005.006
Step-by-step explanation:
This is the standard form of five billion, twenty-four million, five and six thousandths.
Help me and give me the answer please no scammers
Answer:
r = 84
Step-by-step explanation:
2pir
2(3)(14)
6(14)
84
HELP! WILL GIVE BRANLIEST
Answer:
X=11
Z=73
Step-by-step explanation:
So vertical angles are equal so to find X
107=12x-25
Solve the equation
x=11
4 angles are 360 degrees, we know 2 angles.
107+107= 214
360-214= 146
146 is the two angles added up, divide them by 2 to find each side
146/2= 73
Z=73
State the Limits Rule and explain what it means
Answer:
The limit of a sum is equal to the sum of the limits.
Step-by-step explanation:
The limits of a constant times a function is equal to the constant times the limit of the function.
the vertex of the parabola below is at the point (5,-3). which of the equations below could be the one for this parabola?
Answer: ty for the points
Step-by-step explanation:
x+-3(y+3)2+5
Bert draws a card from a deck of cards and Ernie rolls a six sided die at the same time.
Compute the probability that Bert gets a King and Ernie rolls a twenty.
SIMPLIFY AND GIVE THE FINAL ANSWER.
4 1/8 take away 1 1/2
What is the value of the variable x?
Answer:
x = [tex]\sqrt{2}[/tex]
Step-by-step explanation:
pythagorean theorem:
x² + 2² = ([tex]\sqrt{6}[/tex])²
x² + 4 = 6
x² = 2
x = [tex]\sqrt{2}[/tex]
There are 3 flag stamps and 7 follower stamps in Noelle’s stamp collection. What is the ratio of flower stamps to flag stamps
Which describes the effect of the transformations on the graph of f(x) = x? when changed to f(x) = - (x - 2) + 3?
Answer:
Strerch by factor of 5 on y-axis.
Shift by 4 to the left on x-axis.
Shift by 6 up the y-axis.
Hope this helps.
Step-by-step explanation:
In which step does a mistake first occur?
(24+3 + 10)-14 +2
Step 1: (8 + 10) -14 + 2
Step 2: 18 -14+2
Step 3: 4+2
Step 4: 2
Answer:
The step that a mistake first occurs is in step 1.
Step-by-step explanation:
In step one, the constants in the parenthesis went from 24 + 3 + 10 to 8 + 10, which is essentially impossible, so step 1 was the step where a mistake first occurred.
: If m∠2=85.1° m ∠ 2 = 85.1 ° , then what is m∠4 m ∠ 4 ?
Answer:
In what figure?
I cannot determine the answer without proper information.
What is the volume?
12ft
15ft
7ft
Answer:
1260
Step-by-step explanation:
Conduct the following test at the level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume that the samples were obtained independently using simple random sampling. Test whether . Sample data are , , , and . (a) Determine the null and alternative hypotheses. Choose the correct answer below. A. versus B. versus C. versus Your answer is correct.D. versus (b) The test statistic is nothing. (Round to two decimal places as needed.)
Answer:
Hello your question is poorly written the complete question is attached below
answer :
a) H0 : p1 = p2
Ha : p1 ≠ p2
b) Z = -0.58
c) P-value = 0.561915
d) we will reject the Alternative hypothesis
Step-by-step explanation:
For sample 1 ; n1 = 254 , x1 = 28
For sample 2 ; n2 = 301 , x2 = 38
level of significance ∝ = 0.01
P1 = X1 / n1 = 28 / 254 = 0.1102
P2 = X2 / n2 = 38 / 301 = 0.126
a) Determine the null and alternate hypothesis
H0 : p1 = p2
Ha : p1 ≠ p2
b) Determine Test statistic
we perform a Z-statistic to test the hypothesis
Z = [tex]\frac{p1-p1 }{\sqrt{( p(1-p)*(\frac{1}{n1}+\frac{1}{n2}) ) } }[/tex] -------- ( 1 )
p = ( x1 + x2 ) / ( n1 + n2 )
= ( 28 + 38 ) / ( 254 + 301 ) = 0.1189
Where: p = 0.1189 , p1 = 0.1102 , p2 = 0.126 ( input values into equation 1 )
∴ Z = -0.58
c) Determine P-value
P-value = 0.561915 ( using excel function )
d) conclusion : since p-value > 0.01 ( level of significance ) we do not reject the null hypothesis. therefore it proves that p1 = p2
The chart below shows one store's sales of computers, listed by model. 2 circle graphs. A circle graph titled May. Poreg, 262; Quilren, 282; Dinztop, 223; Quilren 2, 135; Juvanto, 148. A circle graph titled June. Poreg, 173; Quilren, 184; Dinztop, 148; Quilren 2, 153; Juvanto, 212. If the changes in sales between May and June continue at the same rate, how many total computers will be sold in July? a. 534 b. 721 c. 1,019 d. 1,254
Answer:
The answer is B, 721
Step-by-step explanation:
edge 2021
The total computers will be sold in July will be equal to 98 computers.
How is the percentage of a value calculated?The percentage represents a value divided by 100. In this way, saying 25% of a value is the same as saying 25 out of 100, that is, 25 divided by 100. And to find the exact number of absentees in the event, just multiply the whole by the percentage
So in this case, we have the information that:
May: 223 Dinztop salesJune: 148 Dinztop sales.Using the percentage we have:
[tex]p=\frac{148}{223} = 0.6637[/tex]
This value in percentage that will be:
[tex]0.6637*100\%= 66.37\%[/tex]
Because of the same percent rate, the amoutns sold in June:
[tex]66.37\%*148=98[/tex]
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I need help on both of these please and no links
Answer:
1) (-5, -4) and (0, 1)
2) 1:8
Step-by-step explanation:
For the equation, complete the given ordered pairs.
3x-y=4
{0,_} [1,_} {_,4}
Hi
3x-y = 4
so y = 4-3x = -3x +4
now you just have to remplace X by the first number given.
for 0 you have : y = -3*0 +4 = 4
so it's 0; 4
I let you do the others. No difficulties.
Find the dimensions and maximum area of a rectangle if the perimeter is 52
Answer: l
=
16
,
b
=
10
Explanation:
Step-by-step explanation:
Perimeter of rectangle is
p
=
2
(
l
+
b
)
=
52
,
l
is length and
b
is breadth.
Area of rectangle is
A
=
l
⋅
b
=
160
∴
l
=
160
b
;
∴
2
(
160
b
+
b
)
=
52
or
(
160
b
+
b
)
=
26
or
160
+
b
2
b
=
26
or
160
+
b
2
=
26
b
or
b
2
−
26
b
+
160
=
0
or
b
2
−
16
b
−
10
b
+
160
=
0
or
b
(
b
−
16
)
−
10
(
b
−
16
)
=
0
or
(
b
−
16
)
(
b
−
10
)
=
0
∴
b
=
16
or
b
=
10
If
b
=
16
;
l
=
160
16
=
10
and if
b
=
10
;
l
=
160
10
=
16
The dimension of rectangle is
l
=
16
,
b
=
10
[Ans]
2. What is the value of x? (y + 2.3) cm K G 7 cm (2.5x) H A. O 60 B. O 72 C.O 30 D.O 24
Answer:
ITS B SORRY CAPS
Step-by-step explanation:
A shopping center includes a grocery store and a drug store. One afternoon, a total of 200 people visited the shopping center, and 121 shopped at the grocery store, 91 shopped at the drug store, and 33 shopped at both businesses. a) How many people shopped at the grocery store or the drug store? b) How many people shopped at neither the grocery store nor the drug store?
9514 1404 393
Answer:
a) 179
b) 21
Step-by-step explanation:
When making a Venn diagram for a problem like this, it often works well to fill in the "both" quantity first. Then that is subtracted from the number for grocery to find "grocery only", and from the number for drug store to find "drug store only." The sum of the numbers inside the circles (88+33+58) is the number who shopped at the grocery or drug store. The number who shopped at neither is the difference between this number and the total number of shoppers (200-179).
What is the equation of a vertical line passing through the point (−4, 7)? (5 points) a y = 7 b y = −4 c x = 7 d x = −4
Answer:
X=-4
Step-by-step explanation:
vertical line is in the form of X=a which is -4
If m is an integer, then 8 x 10^m is equal to 8.
Answer:
No this is not true.
Step-by-step explanation:
An integer is a whole number and not a fraction.
An integer can be 0, 1, 3, 16, 18, 100, etc.
But an integer is either 0 - infinity.
For 8 * 10^m to equal 8, it has to be a fraction.
So, m can not be a integer. This is wrong.
Hope this helps! :)