Answer:
0.239 = 23.9% probability that the next game Victoria bowls, her score will be between 123 and 130
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 130 and a standard deviation of 11.
This means that [tex]\mu = 130, \sigma = 11[/tex]
What is the probability that the next game Victoria bowls, her score will be between 123 and 130?
This is the p-value of Z when X = 130 subtracted by the p-value of Z when X = 123. So
X = 130
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{130 - 130}{11}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a p-value of 0.5
X = 123
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{123 - 130}{11}[/tex]
[tex]Z = -0.64[/tex]
[tex]Z = -0.64[/tex] has a p-value of 0.2611
0.5 - 0.261 = 0.239
0.239 = 23.9% probability that the next game Victoria bowls, her score will be between 123 and 130
f(x) = -2x + 4 if x < 2 2x-4 if x>2 is continuous at x = 2. true or false
Answer:
False
Step-by-step explanation:
Mrs.Oswalt has been craving smoothies lately. She buys a 20oz chocolate smoothie for 7$. Ms.Munguia buys a 17oz chocolate smoothie. How much is Ms.Munguia’s smoothie?
A. 5.95$
B. 8.24$
C. 6$
Answer:
Cost of 17 oz smoothies = $5.95
Step-by-step explanation:
Given:
Amount of smoothies Mrs. Oswalt buy = 20 oz
Cost of 20 oz smoothies = $7
Amount of smoothies Ms. Munguia buy = 17 oz
Find;
Cost of 17 oz smoothies
Computation:
Cost of 17 oz smoothies = Cost of 20 oz smoothies[Amount of smoothies Ms. Munguia buy / Amount of smoothies Mrs. Oswalt buy]
Cost of 17 oz smoothies = 7[17/20]
Cost of 17 oz smoothies = 119 / 20
Cost of 17 oz smoothies = $5.95
What is the greatest common factor (GCF) of 24 and 40?
Question:
What is the greatest common factor (GCF) of 24 and 40?
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
40=2×2×2×5
24=2×2×2×3 then we take the common 2×2×2=8
A 4 foot tree was planted in 2012 outside a high school. The tree grew continuously by 22% each year from that point. Find out what the height of the tree was in 2020.
Answer:
The height of the tree in 2020 was of 19.63 feet.
Step-by-step explanation:
Exponential equation for growth:
The exponential equation for the growth of an amount has the following format:
[tex]H(t) = H(0)(1+r)^t[/tex]
In which H(t) is the amount after t years, H(0) is the initial amount and r is the growth rate, as a decimal.
A 4 foot tree was planted in 2012 outside a high school.
This means that [tex]H(0) = 4[/tex]
The tree grew continuously by 22% each year from that point.
This means that [tex]r = 0.22[/tex]
Find out what the height of the tree was in 2020.
2020 is 2020 - 2012 = 8 years after 2012, so this is H(8).
[tex]H(t) = H(0)(1+r)^t[/tex]
[tex]H(t) = 4(1+0.22)^t[/tex]
[tex]H(4) = 4(1.22)^t[/tex]
[tex]H(4) = 4(1.22)^8 = 19.63[/tex]
The height of the tree in 2020 was of 19.63 feet.
#37. What is the next step when solving the equation sin (2x) - sin (x) = 0
sin(2x) - sin(x) = 0
Expand the first term using the double angle identity:
2 sin(x) cos(x) - sin(x) = 0
Factor out sin(x) :
sin(x) (2 cos(x) - 1) = 0
This leaves you with 2 cases that can be solved separately:
sin(x) = 0 or 2 cos(x) - 1 = 0
sin(x) = 0 or cos(x) = 1/2
[x = 2nπ or x = π + 2nπ] or [x = π/6 + 2nπ or x = 5π/6 + 2nπ]
(where n is any integer)
A line passes through the point (6,-1) and is perpendicular to the line with equation - 2x + 3y = -6. Which is the equation of the line?
Answer:
i'm not sure if this answers your question
the slope for - 2x + 3y = -6 is 2/3
the y- intercept is (0,-2)
Step-by-step explanation:
x | y
0 | -2
3 | 0
Angle Relationships
Use a calculator to find the approximate value of the expression. Round the answer to two decimal places.
The cosine of the complimentary angle to 38°
a. 0.68
b. -0.16
c. -0.22
d. 0.62
Please select the best answer from the choices provided
Answer:
D. 0.62
Step-by-step explanation:
I calculated it logically
xhu-ubmc-gcz jo-in mee-t girl-s
Answer:
what is that for
Step-by-step explanation:
what was that
A line passes through the points A and B, whose coordinates are A(5, -5) and B(-10, -11). What is the equation of the line? The equation is given by Ax + Bx = C.
Answer:
Step-by-step explanation:
the instruction say put it in this form Ax +Bx = C , but i'm sure they were meant to say this Ax +By = C note the X and Y differences. I'll use the latter form, b/c that's the "standard" form
find the slope:
m = -11 - (-5) / -10-5
m = -11 + 5 / -15
m = -6 / -15
m = 2/5
y-(-5) = 2/5(x-5)
y + 5 = 2x/5 -2
y = [tex]\frac{2}{5}[/tex] x - 7
- [tex]\frac{2}{5}[/tex] x +y = -7
There you go, the right answer :P
Find the range and interquartile range of the data.
63,53,48,61,69,63,57,72,46
The range of the data is
The interquartile range of the data is
Order from least to greatest.
18.186; 18.1806; 18.085; 18.0728; 18.1472
HELLO CAN SOMEONE PLEASE HELP
Answer:
1, 4
Step-by-step explanation:
X increases up by one
Y multiplies 4 from the previous
2. A movie theater charges $15 for adults and children and $10 for seniors. A
total of $1,270 was collected for movie ticket sales one night for a selected
movie. The total number of tickets sold for that movie was 93. How many
adult and senior tickets were sold?
b. Write the equations:
Answer:
A. Adult=68, seniors=25B. 10a + 10s=1270. a + s=93
Step-by-step explanation:
15a + 10s =1270 equation 1
a + s =93 equation 2
a=93-s. Isolate a for equation 2
15(93-s) + 10s =1270 substitute value of a in equation 2 (93-s) with value of a in equation 1
1395-15s+10s=1270
-5s=-125
S=25
solve for a
a + s =93
a + 25=93
a=68
‘check answer
15a + 10s=1270
15(68) + 10(25)=1270
1020+ 250=1270
A savings account balance can be modeled by the graph of the linear function shown on the grid. What is the rate of change of the balance with respect to the number of deposits?
(A. $25 per deposit
(B. $50 per deposit
(C. $75 per deposit
(D. $125 per deposit
Answer:
C) $75 per deposit
Step-by-step explanation:
Each square is 25 dollars, hence 4 squares making 100 dollars.
Each they make a deposit 3 squares move up
Making it $75
Em um jantar no castelo da rainha da Inglaterra, estavam presentes 10 pessoas da mais alta corte inglesa. Após o jantar foram servidas dois tipos de sobremesas, A e B. Sabe-se que apenas 5 pessoas comeram da sobremesa A e 7 da sobremesa B e 3 pessoas comeram as duas. Após um jantar, foram servidas as sobremesas X e Y. Sabe-se que das 10 pessoas presentes, 5 comeram a sobremesa X, 7 comeram a sobremesa Y e 3 comeram as duas. Quantas não comeram nenhuma sobremesa?
There are 3 red, 5 green, 7 blue, 1 black and 4 yellow marbles in a bag. Once a marble is selected, it is not replaced. Find the probability of selecting a green
marble, then a red marble.
Answer:
3/76
Step-by-step explanation:
URGENT PLEASE HELP!! a rectangle's area is 336 mm Its height is 16 mm. What is its bases?
Answer:
21mm
Step-by-step explanation:
Area = 336mm²
Height = 16mm
Base = ?
Area = Base × Height (Substitute numbers into the known variable)
336mm² = Base × 16mm ( Find the base,so divide
16mm on both sides)
Base = 336mm² ÷ 16mm
= 21mm
The point A(-7, 3) is translated onto A' by the vector =(5, -4).
The coordinates of A' are
O (-12,7)
0 (2, -7)
o (5, -4)
o(-2, -1)
Answer:
o(-2,-1)
Step-by-step explanation:
Let point A be initial point and A' be terminal point.
A(-7,3), A'(x,y) and V=(5,-4)
V=(Xf-Xi,Yf-Yi)
(5,-4)=(x-(-7),y-3)
(5,-4)=(x+7,y-3)
5=x+7. -4=y-3
5-7=x. -4+3=y
x=-2. y=-1
A'=(-2,-1)
The coordinates of A'(-2, -1).
What is Translation?Translation is the act of moving a shape or a figure from one location to another. A figure can move in translation up, down, right, left, or anywhere else in the coordinate system. Only the object's position changes during translation; its size stays the same.
Given:
point A(-7, 3)
and vector, V =(5, -4).
So, V=([tex]X_f-X_i,Y_f-Y_i[/tex])
Where X(final) = ?, Y(Final)= ?
So, (5,-4)=(x-(-7),y-3)
(5,-4)=(x+7,y-3)
On comparing the coordinates
5=x+7 and -4=y-3
x= 2 and y = -1
Hence, the coordinates of A'(-2, -1)
Learn more about translation here:
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Here’s the problem:)
Answer:
60.3°
Step-by-step explanation:
tanx(7/4)
since x is missing then its gonna be like this
[tex]tan^{-1}= \frac{7}{4}[/tex]
x= 60.260 round it if u want, my teacher said to round it to the tens place when finding the missing angle
Jimmy spent $32.50 at the bowling alley. He spent $5 to rent shoes and the rest he spent on bowling l, which cost $5.50 per game. What are the 2 steps and how much games did jimmy bowl?
Answer:
First you do 32.50 - the 5 dollars he used to rent shoes. Then you would get 27.50, then you do 27.50- 5.50 per game. 27.50- 5.50- 5.50-5.50-5.50-5.50. He bowled 5 games total
Step-by-step explanation:
The formula for the volume V Of a cone has the radius r and the height h is shown below.
V= 1/3 π r ²h
H= what?
Answer:
H is same as h which means height if cone or perpendicular drawn from tip of cone to the base plane !
Hope this helps
HURRY PLEASE
Which interval represents 75% of the data in the box-and-whisker plot?
Answer:
27.5-32.5
Step-by-step explanation:
Sten counts 39 rabbits in his garden. Round 39 to the nearest 10.
Answer: Round 39 to the nearest 10 is 40
Step-by-step explanation:
Question is below in photo
what about using 20-30-40-5
Step-by-step explanation:
the sequence is that you are skipping ten to get the second nb which is 30 and keep on going on to get 50
PLSSSS HELPP!!!!
Given circle S, find m angle TUV.
32°
___________________
180-116= 64
½×64=32°
Answer:
The answer is, [tex]32^{0}[/tex]
Step-by-step explanation:
Definition of circle:The set of all points in the plane that are a fixed distance (the radius) from a fixed point is called a circle (the centre). A radius is the distance between any two points on a circle and the center. Any two radii have the same length according to the definition of a circle.
=[tex]180-116\\64[/tex]
=[tex]1/2[/tex]×[tex]64[/tex]
=[tex]64/2\\32^{0}[/tex]
The angle TUV are [tex]32^{0}[/tex].
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Psychologists in Montreal and Toronto conducted a study to determine if babies show any preference for speech over general noise.1 Fifty infants between the ages of 4-13 months were exposed to both happy-sounding infant speech and a hummed lullaby by the same woman. Interest in each sound was measured by the amount of time the baby looked at the woman while she made noise. The mean difference in looking time was 27.79 more seconds when she was speaking, with a standard deviation of 63.18 seconds. Perform the appropriate test to determine if this is sufficient evidence to conclude that babies prefer actual speaking to humming.
Required:
State the null and alternative hypotheses.
Answer:
H0 : μ1 - μ2 = 0
H1: : μ1 - μ2 ≠ 0
we reject the Null and we conclude that babies prefer actual speaking to humming.
Step-by-step explanation:
H0 : μ1 - μ2 = 0
H1: : μ1 - μ2 ≠ 0
Mean difference, d = 27.79
Standard deviation of difference, Sd = 63.18
Sample size, n = 50
The test statistic :
d / (Sd / √n)
Test statistic :
27.79 / (63.18 / √50)
27.79 / 8.9350012
= 3.11
Using the Test statistic score, we can obtain the Pvalue
Using the standard normal table ;
Pvalue = P(x<-Z or x>Z) = 0.0018709
Pvalue is very low
Pvalue < α ; Hence, we reject the Null and we conclude that babies prefer actual speaking to humming.
-4(y - 2) = 12
y = ?
Answer:
Hello! answer: -1
Hope that helps!
PLEASE HELPPPPP!!!!!!!!! (show work if you can)
Answer:
[tex]180x^4y^3z^2[/tex]
Step-by-step explanation:
Start by finding the LCM of the coefficients of each polynomial:
[tex]LCM(12,18,30)=180[/tex]
Next, to find the least common multiple of each of the following terms, we need to take the absolute minimum we can of each term ([tex]x[/tex], [tex]y[/tex], and [tex]z[/tex]). The largest term of [tex]x[/tex] is [tex]x^4[/tex] in the first polynomial, so we'll take exactly that for our [tex]x[/tex] term in the LCM, absolutely nothing more. Similarly, the largest term of [tex]y[/tex] in any of the three polynomials is [tex]y^3[/tex] (also in the first polynomial) and the largest [tex]z[/tex] term in any of the three polynomials is [tex]z^2[/tex] in the second polynomial. Thus, the LCM of all our polynomials is:
[tex]180\cdot x^4\cdot y^3\cdot z^2=\boxed{180x^4y^3z^2}[/tex]
Answer:
[tex]\mathrm{Factor\:}18x^4y^3z= 2\cdot \:3^2\cdot \:x^4\cdot \:y^3\cdot \:z\\\\\mathrm{Factor\:}30xy^2z^2= 2\cdot \:3\cdot \:5\cdot \:x\cdot \:y^2\cdot \:z^2\\\\\mathrm{Factor\:}12x^3y^2= 2^2\cdot \:3\cdot \:x^3\cdot \:y\\\\\mathrm{Multiply\:each\:factor\:with\:the\:highest\:power}= 2^2\cdot \:3^2\cdot \:5\cdot \:x^4\cdot \:y^3\cdot \:z^2\\\\180x^4y^3z^2[/tex]
1
(b) If x= 1 - 2 then find the value of x-
x
Answer:
I think x - x = 0
FILLER FILLER
What is the domain for √(x-2)? *
all real numbers except x=2
all real numbers for x≥2
all real numbers for x≤2
all real numbers except x=0