Answer:
[tex]P (1.41 < z < 2.85) = 0.0771[/tex]
Step-by-step explanation:
Required
[tex]P (1.41 < z < 2.85)[/tex]
This is calculated as:
[tex]P (1.41 < z < 2.85) = P(z < 2.85) - P(z < 1.41)[/tex]
From z probabilities:
[tex]P(z < 2.85) = 0.99781[/tex]
[tex]P(z < 1.41) = 0.92073[/tex]
So, we have:
[tex]P (1.41 < z < 2.85) = 0.99781 - 0.92073[/tex]
[tex]P (1.41 < z < 2.85) = 0.07708[/tex]
Approximate
[tex]P (1.41 < z < 2.85) = 0.0771[/tex]
What is the slope of the line that passes through the points (-6, -2) and (2, -2)?
Answer:
0
Step-by-step explanation:
We can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= ( -2 - -2)/(2 - -6)
= (-2+2)/(2 +6)
= 0/8
= 0
Answer:
Slope is 0
Step-by-step explanation:
Slope formula is (y2-y1)/(x2-x1)
-2 - (-2)/2 - (-6)
0/8
0
Select the correct answer.
The parent tangent function is horizontally compressed by a factor of 1/2 and reflected over the x-axis. Which equation could represent function g
the result of this transformation?
Answer:
[tex]g(x) = -\frac{1}{2}\tan{x}[/tex]
Step-by-step explanation:
Tangent function:
The tangent function is:
[tex]f(x) = \tan{x}[/tex]
Horizontally compressed by a factor of 1/2
Horizontally compressing by a factor of 1/2 is multiplying by 1/2. So
[tex]g(x) = \frac{1}{2}\tan{x}[/tex]
Reflected over the x-axis.
Reflecting a function over the x-axis is the same as multiplying it by -1. Then g is given by:
[tex]g(x) = -\frac{1}{2}\tan{x}[/tex]
Given that x = 4, b=6 and c = 3. Then 3a + bc = 16.
true or false?
Answer:
False
Step-by-step explanation:
3a + bc = 16.
Let a=4 b=6 c=3
3(4) + 6*3 = 16
Multiply
12+18 =16
30 = 16
False
Answer:
False!
Step-by-step explanation:
There is no a variable that is given, though I'm going to assume you mean that x=4 is supposed to be a=4. If I'm mistaken, there isn't much to say about whether the statement is true or false, because there's no false statement as it'd give you a=? and you can't prove or disprove this information without more information.
If my assumption is correct, we'll first start solving this problem by substituting in the variables, which would give us: 3(4)+(6)(3)=16
Then, we'll evaluate 3(4) first, because of order of operations, which gives us 12. To reiterate the problem, we now have: 12+(6)(3)=16 From here, we can already tell this is going to be a false statement, as there is no way 6 times anything but zero will give a sum less than 6, but if you didn't catch that, we can continue with our next step.
Evaluate (6)(3) in order to get 18, in order to get: 12+18=16
And finally, we'll add. 12+18 is 30, which as we know, is not equal to 16, so that makes this statement false. 30≠16
Ana vende productos de limpieza .Por cada $100 que venda le dan de comisión $30 .¿Cuánto ganará si vende $600?
Answer:
$180
Step-by-step explanation:
$600/$100 = 6
$600 es 6 veces $100.
Por vender $600 gana 6 veces mas que por vender $100.
6 * $30 = $180
Respuesta: $180
Which system of linear inequalities is represented by
the graph?
+
oyz_x+3 and 3x – y> 2
o ye}x+3 and 3x –y> 2
o y }x+3 and 3x + y> 2
O ya 4x+3 and 2x-y> 2
Answer:
o ye}x+3 and 3x –y> 2 system of linear inequalities is represented by the graph.
PLEASE LET ME KNOW IF ¡ AM WRONG!
The system of linear inequalities represented by the graph is
y ≥ (1/3)x + 3 and 3x - y > 2
Option A is the correct answer.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal =≤
Greater than and equal = ≥
We have,
We see that,
When we graph,
y ≥ (1/3)x + 3 and 3x - y > 2 we get the graph shown.
y ≥ (1/3)x + 3
This inequality is positive on the y-axis.
3x - y > 2
3x > 2 + y
This inequality is positive on the x-axis.
Thus,
The system of linear inequalities represented by the graph is
y ≥ (1/3)x + 3 and 3x - y > 2
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To paint interior walls, a person charges 50¢ per square foot plus the cost of the paint. For a recent job, the paint cost $100 and the total bill was $475.
The person must have painted ____ ft^2.
Answer:
750 ft²
Step-by-step explanation:
.Given :
Charge per ft² = 50¢ = $0.5
Total cost = ((charge per ft² * number of ft²) + cost of paint)
Given that :
Paint cost = $100
Total cost = $475
Number of ft² = x
Plugging values into the equation :
475 = (( 0.5 * x) + 100)
475 = 0.5x + 100
475 - 100 = 0.5x
375 = 0.5x
x = 375 / 0.5
x = 750 ft²
When the consumer's income increases by 50% assuming other conditions are constant, the demand for good Y increases by 25%. What kind of commodity is Y?
Normal good
Step-by-step explanation:There are 3 basic types of commodities or goods;
i. The normal good
ii. The luxury good
iii. The inferior good
Relative to income and demand, when an increase in income causes an increase in the demand for a good, then the good is a normal good. For a normal good, the measure of the responsiveness of demand to a change in income (known as income elasticity of demand) is always greater than 0. In other words, it is positive.
If instead, an increase in income causes a decrease in the demand for a good, then the good is an inferior good. The income elasticity of demand for an inferior good is less than 0. In other words, it is negative.
When the increase in income causes a larger percentage in the demand for a good, then the good is a luxury good. Luxury goods are a special type of normal goods. The income elasticity of demand for a luxury good is greater than 1 since their is a larger percentage increase in the demand.
Income elasticity of demand is calculated by finding the ratio of the percentage increase in the demand to the percentage increase in income.
In the illustration given, the consumer's income increases by 50% causing the demand for good Y to increase by 25%. This is an example of a normal group. i.e increase in income causes an increase in the demand for good Y.
The income elasticity of demand for good Y is given as the ratio of the percentage increase in demand (25%) to the percentage increase in income (50%). Therefore, the income elasticity of demand for good Y is;
25% / 50% = 0.5
Since the income of elasticity of demand for good Y is 0.5 which is greater than 0, good Y is a normal good.
I WILL MARK BRAINLIEST!!!!
Kristin is swimming in the ocean and notices a coral reef below her. The angle of depression is 35 degrees. And the depth of the ocean, at that point is 250 feet. How far away is she from the reef?
Answer:
435.8 feet
Step-by-step explanation:
law of sines:
*sin 90°/1 = sin 35°/250
cross-multiply to get:
x·sin35° = 250
x = 250/sin35°
x = 435.8
*we can assume the ocean surface and the reef 250 feet below forms a 90° angle
How do I do this and what’s the answers?
Answer:
a.5years=300 rabbits
b. 50 years(multiply 50 by 300)
Step-by-step explanation:
hope this is helpful
A. 3.9
B. 1.0
C. 1.7
D 3.3
Answer:
its for sure C
Step-by-step explanation:
Debra bought 16 pounds of sugar for $7.
How many dollars did she pay per pound of sugar
Express the terms of the following sequence by giving an explicit formula. 5 , 2 , -1 , -4, -7 , .
Answer:
Step-by-step explanation:
a1=5
d=2-5=-3
[tex]a_{n}=5+(n-1)(3)\\a_{n}=5+3n-3\\a_{n}=3n+2[/tex]
Why is android sound louder then iPhone???
Answer ASAP
a) Write 5^17 x 5^2 as single power of 5
Answer:
When we multiply two number with the same base but different power, the power gets added.
So, the answer is:
5^17*5^2
=5^(17+2)
=5^19
the high temperature is forecast to be 5.4 F . What is this temperature in degrees Celsius ()?
Answer:
-14c
Step-by-step explanation:
I’m using the actual values 1F = -17C so just times that by 5.4
There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a red marble is 3/8.
There are 72 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.
Answer:
27
Step-by-step explanation:
specific probability = number of specific possibilities divided by number of total possibilities.
the number of total possibilities is 72 (we can pull one out of 72).
the probability of pulling a red back is 3/8.
so, to find the actual number of specific possibilities (actual number of red balls in the overall sample size of 72) we need to bring this ratio of 3/8 to an expression of x/72.
what is the factor to turn 8 into 72 ? 9.
8×f = 72
f = 72/8 = 9
to keep the ratio unchanged in its dimension, we need to apply the same factor to 3 to get x.
3/8 × f/f = x/72
3/8 × 9/9 = x/72
3×9 / 72 = x/72
3×9 = x = 27
so, the probability ratio based on actual possibilities (number of balls available) is 27/72
=>
there are 27 red balls in the bag of total 72 balls.
9. Find the length of X (in the picture) plssss I need help. (GIVING POINT'S AND BRAINLY)
Answer:
[tex] \frac{7.5}{x } = \frac{6}{4} \\ 6x = 30 \\ x = 5 [/tex]
A Deloitte employment survey asked a sample of human resource executives how their company planned to change its workforce over the next 12 months (INC. Magazine, February 2012). A categorical response variable showed three options: The company plans to hire and add to the number of employees, the company plans no change in the number of employees, or the company plans to lay off and reduce the number of employees. Another categorical variable indicated if the company was private or public. Sample data for 180 companies are summarized as follows.
a. Conduct a test of independence to determine if the employment plan for the next 12 months is independent of the type of company. At a .05 level of significance, what is your conclusion?
b. Discuss any differences in the employment plans for private and public companies over the next 12 months.
Answer:
employment plan for the next 12 months is not independent of the type of company
Step-by-step explanation:
H0 : employment plan for the next 12 months is independent of the type of company
H1 : employment plan for the next 12 months is not independent of the type of company
The Chisquare statistic, χ² :
χ² = (observed - Expected)²/ Expected
Given the data:
Observed values :
_________________ Company
Emp plan ________ private _____ public _total
Add employees _____ 37 ________ 32 __ 69
No change__________19 ________ 34 __53
Layoff employees ____ 16 ________ 42__58
Total ______________72 ________108 _ 180
The expected value counts :
(Row total * column total) / grand total
Expected Values:
27.6 ___41.4
21.2 ___ 31.8
23.2 ___34.8
Chi-Squared Values:
3.20145 ___2.1343
0.228302__ 0.152201
2.23448 ____1.48965
χ² = (3.20145 + 2.1343 + 0.228302 + 0.152201 + 2.23448 + 1.48965)
χ² = 9.440383
Degree of freedom, df (row - 1) * (column - 1) = (3-1) * (2 - 1) = 2 * 1 = 2
Pvalue from Chisquare statistic, df = 2
Pvalue = 0.008913
Since ;
Pvalue < α ; We reject the null and conclude that employment plan for the next 12 months is not independent of the type of company.
D(x, y) = (3x, 3y)
Preimage:P(1, -1), Q(2, 1), R(-2, 1)
Image: P'(,), Q'(,), R'(,)
Scale factor:
Step-by-step explanation:
I have no idea but here's thiss
solve: In(x-2)-In(x+2)=4: explain how you got to your answer.
Answer:
No real solutions.
Step-by-step explanation:
We want to solve the equation:
[tex]\ln(x-2)+\ln (x+2)=4[/tex]
Recall that:
[tex]\displaystyle \ln a-\ln b=\ln\left(\frac{a}{b}\right)[/tex]
Therefore:
[tex]\displaystyle \ln\left(\frac{x-2}{x+2}\right)=4[/tex]
By Definition:
[tex]\displaystyle e^4=\frac{x-2}{x+2}[/tex]
Cross-multiply:
[tex]e^4(x+2)=x-2[/tex]
Distribute:
[tex]xe^4+2e^4=x-2[/tex]
Isolate the x:
[tex]xe^4-x=-2-2e^4[/tex]
Factor:
[tex]\displaystyle x(e^4-1)=-2-2e^4[/tex]
Divide. Therefore:
[tex]\displaystyle x=\frac{-2-2e^4}{e^4-1}=\frac{2+2e^4}{1-e^4}\approx-2.07[/tex]
However, note that logs cannot be negative and must be nonzero. According to the first logarithm, x > 2 and according to the second, x > -2. Since the answer is not greater than two, there are no real solutions.
which of the following are not rational numbers ? (Choose all that apply.)
A. /5
B. 0.666
C. 16/9
D. -30
9514 1404 393
Answer:
A
Step-by-step explanation:
The square root of any integer that is not a perfect square will be irrational.
√5 is irrational
__
Any decimal number that terminates or repeats is a rational number, regardless of sign. All of the decimal numbers shown are rational. (All terminate after a finite number of digits.)
Of course, any ratio of integers is a rational number. That's what the word "rational" means.
Find the P-value for the hypothesis test with a standardized test statistic z. Decide whether toreject the null hypothesis for the level of significance α.a. Left-tailed test, z = -1.32, α = 0.10b. Right-tailed test, z = 2.46, α = 0.01c. Two-tailed test, z = -1.68, α = 0.05
Answer:
1.) We don't reject the null
2.) We reject the Null
3.) We do not reject the null
Step-by-step explanation:
Obtaining p values using test statistic:
Given that ; we have a standardized test statistic and α - values ;
Let's define the decision region :
If Pvalue < α ; Reject H0 ; otherwise, fail to reject H0
A.)
Left tail , Z = - 1.32 ; α = 0.10
We can use the Pvalue calculator from Z score :
Pvalue = 0.934
Pvalue > α ; Hence, we fail to reject the null, H0
B.)
Right-tailed test, z = 2.46, α = 0.01
Pvalue from Zscore calculator ;
Pvalue = 0.0069
Pvalue < α ; Hence, we reject the null, H0
C.)
Two-tailed test, z = -1.68, α = 0.05
Pvalue from Zscore calculator ;
Pvalue = 0.093
Pvalue > α ; Hence, we fail to reject the null, H0
Your friend was supposed to repay a loan with a loan payment of $1,000 due in 6 months and another loan payment of $1,500 due in 4 years. However, your friend agrees to make two payments that replace the originally scheduled payments. The first replacement payment of $1,250 is due in 2 years and the second replacement payment of $X is due in 3 years. Suppose the interest is 7% p.a. compounded quarterly and the focal date is 3 years from now (Year 3), your friend asks for your help to determine the size of the second replacement payment, $X. Answer the following question:
Your answer for $X at the focal date is ($BLANK)
. (Express in 2 decimals) Hint: Based on your answer in Q3 and the replacement payment in Q5, you will need to determine $X.
Note: to receive the full mark, you will use all the decimal places when performing calculations, round to 2 decimal places in your final answer, and there is no need to include other symbols such as $ and comma in your final answer.
Find the population variance and standard deviation.
8, 17, 29, 35, 41
Answer:
53
Step-by-step explanation:
By taking the number "41" and minus it with "35" and you'll get 12. Take the number "12" and plus with "41" and you'll get the answer.
the population variance is 144 and the population standard deviation is 12.
To find the population variance and standard deviation for the given data set, follow these steps:
Step 1: Find the mean (average) of the data set.
Step 2: Subtract the mean from each data point to find the differences.
Step 3: Square each difference.
Step 4: Calculate the sum of the squared differences.
Step 5: Divide the sum of squared differences by the total number of data points to find the variance.
Step 6: Take the square root of the variance to find the standard deviation.
Given data set: 8, 17, 29, 35, 41
Step 1: Find the mean (average):
Mean = (8 + 17 + 29 + 35 + 41) / 5
Mean = 130 / 5
Mean = 26
Step 2: Find the differences from the mean:
Differences: (8 - 26) = -18, (17 - 26) = -9, (29 - 26) = 3, (35 - 26) = 9, (41 - 26) = 15
Step 3: Square each difference:
Squared differences: [tex](-18)^2 = 324, (-9)^2 = 81, 3^2 = 9, 9^2 = 81, 15^2 = 225[/tex]
Step 4: Calculate the sum of squared differences:
Sum of squared differences = 324 + 81 + 9 + 81 + 225 = 720
Step 5: Calculate the variance:
Variance = Sum of squared differences / Number of data points
Variance = 720 / 5
Variance = 144
Step 6: Calculate the standard deviation:
Standard deviation = √Variance
Standard deviation = √144
Standard deviation = 12
So, the population variance is 144 and the population standard deviation is 12.
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in circle T with m angle STU=50 and ST=3 units, find the length of arc SU. Round to the nearest hundredth.
9514 1404 393
Answer:
arc SU ≈ 2.62 . . . units
Step-by-step explanation:
The arc length is given by ...
s = rθ
where r is the radius, and θ is the central angle in radians.
arc SU = ST·STU = 3·(50°·π/180°) = 5π/6
arc SU ≈ 2.62 . . . units
2x-5y=22n y=3x-7 Use substitution to solve the system.
Answer:
x = 1 , y = -4
Step-by-step explanation:
2x - 5y = 22 ------- ( 1 )
y = 3x - 7 ------- ( 2 )
Substitute ( 2 ) in ( 1 ) :
2x - 5 (3x - 7) = 22
2x - 15x + 35 = 22
- 13x = 22 - 35
- 13x = - 13
x = 1
Substitute x in ( 1 ) :
2x - 5y = 22
2 ( 1 ) - 5y = 22
- 5y = 22 - 2
-5y = 20
y = - 4
Alexis pls answer this question you are sooooooooooooo good at math. (Nobody else answer this, only Alexis)
Answer:
5/8
Step-by-step explanation: Keep, Change and Flip so you do 1/2 times 5/4
Answer:
5/8
Step-by-step explanation:
To divide by a fraction. multiply by the reciprocal of that fraction.
1/2 * 5/4
Multiply the fractions across.
so 1*5=5, then do 2*4= 8
5/8
help!
Is there alternative way in solving a arithmetic sequence?
Answer:
[tex] { \boxed{ \blue{ \tt{last \: term : l = a + (n - 1)d}}}} \\ \\ { \boxed{ \green{ \tt{sum : s = \frac{n}{2} (2a + (n - 1)d}}}} \\ or\\ { \boxed{ \tt{ \red{sum : s = \frac{n}{2} (a + l)}}}} \\ { \bf{s \: is \: sum }} \\ { \bf{ l \: is \: last \: term}} \\{ \bf{ n \: is \: number \: of \: terms}} \\{ \bf{ d \: is \: common \: difference}} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]
1. If f(x)=4*, then which of the following is the value of f(-2)?
Answer:
what is the following
Step-by-step explanation:
Find y.
Round to the nearest tenth:
28°
х
350 ft
y
y = [? ]ft
Answer:
y = 658.3 ft
Step-by-step explanation:
Alternate angles are equal. Therefore,
Reference angle (θ) = 28°
Length of side Opposite to reference angle = 350 ft
Adjacent side = y
Apply TOA, which is:
Tan θ = Opp,/Adj
Substitute
Tan 28 = 350/y
y*tan 28 = 350
y = 350/tan 28
y = 658.3 ft (nearest tenth)