Answer:
50% decrease
Step-by-step explanation:
4/8×100
cancel out using 2
=1/2×100
=50%
Assume that 25% of all households in Santa Clara county have a burglar alarm (population characteristic). A random sample of 200 Santa Clara county households is taken. What is the probability that between 20% (0.2) to 30% (0.3) of the households in the sample have a burglar alarm
Answer:
The probability is [tex]P( 0.2 < p < 0.3) = 0.89751[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is p = 0.25
The sample size is n = 200
Generally given that the sample size is large the mean of this sampling distribution is mathematically represented as [tex]\mu_{x} = p = 0.25[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{ \frac{ p (1- p ) }{n} }[/tex]
=> [tex]\sigma = \sqrt{ \frac{ 0.25(1- 0.25 ) }{200} }[/tex]
=> [tex]\sigma = 0.03062[/tex]
Generally the probability that between 20% (0.2) to 30% (0.3) of the households in the sample have a burglar alarm is mathematically represented as
[tex]P( 0.2 < p < 0.3) = P(\frac{ 0.2 - 0.25}{ 0.03062 } < \frac{p- \mu_{x}}{\sigma } < \frac{ 0.2 - 0.25}{ 0.03062 } )[/tex]
[tex]\frac{p -\mu}{\sigma } = Z (The \ standardized \ value\ of \ p )[/tex]
=> [tex]P( 0.2 < p < 0.3) = P(-1.6329 < Z <1.6329 )[/tex]
=> [tex]P( 0.2 < p < 0.3) = P( Z< 1.6329) - P( Z <- 1.6329 )[/tex]
From the z table the area under the normal curve to the left corresponding to 1.6329 and -1.6329 is
[tex]P( Z< 1.6329) = 0.94875[/tex]
and
[tex]P( Z <- 1.6329 ) = 0.051245[/tex]
So
[tex]P( 0.2 < p < 0.3) = 0.94875 - 0.051245[/tex]
=> [tex]P( 0.2 < p < 0.3) = 0.89751[/tex]
At the local sandwich shop, employees earn double time for any hours worked in addition to their regular 39-hour
week. Last week, Cooper Jones worked his regular 39 hours plus 9 hours of overtime. Cooper is paid $23.90 per
hour. What is his total pay for the week?
Answer:
8,030.4
Step-by-step explanation:
Answer:
$287.04
Step-by-step explanation:
add 39 and 9 multiply the sum by $23.90 and then multiply by two and boom, $287.04
What is 1.3 in improper fraction form
Mr. Pharm put $1,550 into a savings account. The account pays 3.5% simple interest on an annual basis. If he does not add or withdraw money from the account, how much interest will he earn after 2 years?
Answer:
Mr. Pharm will earn $108.50 in two years, having deposited $1,500 into an account earning 3.5% simple interest.
Step-by-step explanation:
1550 * 3.5% * 2 = $108.50
Enter the decimal represented by the shaded square.
The shaded square represents__?
Item 6
Question 1
You notice a hot air balloon descending. The elevation h (in feet) of the balloon is modeled by the function h(x)=-11x+330, where x is the time (in seconds) since you first noticed the hot air balloon.
Graph the function and specify its domain and range. Then interpret the slope and intercepts of the graph.
Answer:
Domain
[tex]x\in [0\,s,30\,s][/tex]
Range
[tex]h \in [0\,ft,330\,ft][/tex]
The h-Intercept represents the initial height of the balloon. The balloon has an initial height of 330 feet.
The x-Intercept represents the time when the balloon reaches the ground. The balloon takes 30 seconds to descend and reach the ground.
The slope represents the ratio of the change in the elevation of the balloon to the change in time. A slope of -11 means that balloon descends 11 feet per second.
Step-by-step explanation:
Both the time (domain), measured in seconds, and the height (range), measured in feet, are positive variables. The hot air balloon start at a height above and descends to the ground. Which means that domain and range of the function are, respectively:
Now we find the upper bound of the height of the hot air balloon. If we know that [tex]t = 0\,s[/tex], then the upper bound is:
[tex]h(0) = -11\cdot (0)+330[/tex]
[tex]h(0) = 330\,ft[/tex]
Range
[tex]h \in [0\,ft,330\,ft][/tex]
Now we find the upper bound of time. If we know that [tex]h = 0\,ft[/tex]. then the upper bound is:
[tex]-11\cdot x +330 = 0[/tex]
[tex]11\cdot x = 330[/tex]
[tex]x = 30\,s[/tex]
Domain
[tex]x\in [0\,s,30\,s][/tex]
The h-Intercept represents the initial height of the balloon. The balloon has an initial height of 330 feet.
The x-Intercept represents the time when the balloon reaches the ground. The balloon takes 30 seconds to descend and reach the ground.
The slope represents the ratio of the change in the elevation of the balloon to the change in time. A slope of -11 means that balloon descends 11 feet per second.
Find the slope of the line that contains the point (-8,3) and (4,1) show your work
Answer:
m=-1/6
Step-by-step explanation:
m=1-3/4+8=-2/12=-1/6
Jerry uses 15 pieces of origami paper for his 3 projects. If he uses the origami paper at the same rate for his next project, how many pieces of origami paper will he use for his next project?
He will use as much paper that will work
Identify the two missing sides of the 45-45-90 triangle
tyson multiplies 75 by 1.15,which number might tyson trying to find
Answer:
115% of 75
Step-by-step explanation:
Please help! I’ll mark you as brainliest if correct!!!!
Answer:
20Step-by-step explanation:
The equation of shifted function y = ax² is y = a(x-h)²+k, where h tells us how many units we move left (h<0) or right (h>0) and k tells how many units up (k>0) or down (k<0)
y = x² - 20 = 1(x - 0)² + (-20) ⇒ k = -20<0
So it's shifted 20 units down.
x^2 + 10x + 12
please help!!
Answer:
This cannot be simplified any further. That is the simplest you'll get.
A culture started with 2,000 bacteria. After 6
hours, it grew to 2.200 bacteria. Predict how
many bacteria will be present after 12 hours
Round your answer to the nearest whole
number.
A square has a side length 9cm. What is its area in square centimeters? A square has a side length 9cm2. What is its area in square centimeters?
Answer:
Step-by-step explanation:
A.
Given parameter:
Side length = 9cm
Unknown;
Area of the square = ?
Solution:
The shape given is a square.
Area of a square = L²
L is the side length
Insert the parameters and solve;
Area of the square = 9² = 81cm²
B.
Given parameters:
Area of the square = 9cm²
Unknown:
Side length = ?
Solution:
The shape is a square;
Area of a square = L²
9 = L²
L = √9 = 3cm
In a recent survey, 230 or 46% of the sample, said they usually ate fast food when they went out to eat. How many people were surveyed?
Question 8 (2 points)
15 is 25% of
Brank 1:
HELPPP MEEE
Answer:
15 is 25% of 60
Step-by-step explanation:
15 x 4 = 60
25% x 4 = 100%
Answer:
I think that might be 60
Step-by-step explanation:
40% of students have brown eyes 10 have brown eyes how many atudents in the class
Answer:
25
Step-by-step explanation:
40%x = 10
40/100 x=10
x=10* 100/40
x = 25
what is the equation of a line thag has a slope of -5 and a y-intercept of -7?
fill in the blanks: y=____x+____
Answer:
y= -5x + -7 is your answer
There are 45 students who play a woodwind instrument in the school band. Of these, 18 play the saxophone. What percent of the woodwind musicians play the saxophone?
586 : 18 =? Write your answer as a whole number and remainder. R Stuck? Watch a video or use a hint.
Answer:
39 R 10
Step-by-step explanation:
18 goes into 586 evenly 32 times, but there is 10 left over, making that the remainder.
Consider a collection of envelopes consisting of 3 red , 3 blue , 1 green , and 2yellow . If three envelopes are selected at random, without replacement, determine the probability that at least one envelope is a red envelope.
Answer:
The probability is 31/35
Step-by-step explanation:
I need help solving these
Answer:
m∠1 = 140°
m∠2 = 40°
m∠3 = 65°
m∠4 = 75°
m∠5 = 115°
Step-by-step explanation:
We will use a few different methods to find the angles:
A triangle's angles will always add up to 180°. With this information, we can find the last angle of the triangle on the left:
∠1+∠2+∠3=180°
60+80+∠3=180°
Let x represent the value of ∠3. Simplify addition:
[tex]140+x=180[/tex]
Subtract 140 from both sides:
[tex]140-140+x=180-140\\\\x=40[/tex]
The unknown angle is 40°. With this information, we can find the
m∠1:
m∠1 and the 40° we just found are supplementary angles, which means that their measures will add up to a total of 180°.
∠1+∠2=180°
Insert the value we know:
40°+∠2=180
Let x represent the value of ∠2. Subtract 40 from both sides:
[tex]40-40+x=180-40\\\\x=140[/tex]
There fore:
m∠1=140°
We can use this same rule to find the m∠2:
∠1+∠2=180°
or, we can use the vertical angles rule. The first angle we found (Which is 40°) is a vertical angle to m∠2, so they have the same value. Therefore:
m∠2=40°
To find m∠3, we need to find the other missing angle in the middle triangle. Use the supplementary angle rule, since the missing angle is supplementary to the angle that is 105°:
∠1+∠2=180°
Insert the known values, substituting x for the unknown angle:
[tex]x+105=180[/tex]
Subtract 105 from both sides:
[tex]x+105-105=180-105\\\\x=75[/tex]
The unknown angle is 75°. Now find m∠3, knowing that triangles add up to 180°:
m∠2+m∠3+75=180
Insert the m∠2, make m∠3 be x:
[tex]40+x+75=180[/tex]
Simplify addition:
[tex]115+x=180[/tex]
Subtract 115 from both sides:
[tex]115-115+x=180-115\\\\x=65[/tex]
Therefore:
m∠3=65°
To find m∠4, use the vertical angle rule.
Therefore:
m∠4=75°
To find m∠5, we could find all triangle measures of the least triangle, or we can use the following:
An exterior angle of a triangle is equal to the sum of the two opposite interior angles. The sum of exterior angle and interior angle is equal to 180 degrees.
The m∠5 is the exterior angle, and the opposite interior angles are 75° and 40°:
[tex]75+40=115[/tex]
Therefore:
m∠5=115°
:Done
What is the solution to this linear equation?
4b + 6 = 2 - b + 4
b = 0
To solve make b the subject so:
4b + 6 = 2 - b + 4
5b + 6 = 6
5b = 0
5 = 0/5
= 0
What expression is equivalent to (-18) - 64n
-18-64n
= (-2)×9 + (-2)×32n
Take (-2) common, we get
= (-2)( 9+32n)
Therefore,
-18-64n = (-2)(9+32n)
Answer:The other guy is right since this is a old question i wont answer it :P
Step-by-step explanation:
While visiting Crimson lake, Sally decided to go kayaking. The rangers charge $8.50 per hour in addition to a $25 deposit to rent the kayak. If she rented the kayak from 11:30 am to 2:30 pm, write and solve a linear equation to find the total cost to rent the kayak.
Answer:
50.50$
Step-by-step explanation:
8.5x+25
x is the hours
8.5(3)+25= 50.50
Suppose commute times in a large city are normally distributed and that 63.70% of commuters in this city take more than 22 minutes to commute one-way. If the standard deviation of such commutes is 6.3 minutes, what is the mean commute?
Answer:
The mean is 24.205
Step-by-step explanation:
Firstly, we need to get the z-score
From the question, the probability we have is the probability that commuters take more than 22 minutes to commute one-way
So the probability we had was;
P( x > 22)
So we need the z-score corresponding to 63.70% or simply 0.637
We can use the standard normal distribution table to get this
Mathematically, from the standard normal distribution table this is -0.35
z-score = (x- mean)/SD
-0.35 = (22-mean)/6.3
22-mean = -2.205
mean = 22 + 2.205 = 24.205
The diameter (x) of this pizza is 16 inches. Kevin had 2 slices that created
an angle (y) of 650
a.
How much of the pizza, in square inches, did he eat? Round your
answer to the nearest square inch.
Gabby accumulated $12,000 in credit card debt. If the interest rate is 4% per year and she does not make any payments for 8 years, how much will she owe on this debt in 8 years by compounding continuously?
Answer:
$16,525.53.
Step-by-step explanation:
A=Pe^rt
P=$12,000
r=0.04
t=8 years
Will give brainiest!
Answer:
680 oranges
15 levels
Step-by-step explanation:
Add 2, add 3, add 4, add 5.....
1+3+6+10+15+21+28+36+45+55+66+78+91+105+120=680
15 levels
He can’t add a 16th level, because it would have 136 oranges, which would put him over 800.
Answer:
15 levels, 680 oranges.
Step-by-step explanation:
Guess an check. The first 15 add to 680. The 16th is 136. 680+136=810, which is over 800.
True or False: the act of forming conclusions based on available information is a conjecture.