Answer:
Part a:
The null and alternate hypotheses are
i) H0: ud ≥ u vs Ha: ud < u
ii) As the significance level is ∝= 0.025 and it is one tailed test then the critical region R < - 1.96
iii) The test statistics is =−9.15
iv) We accept the alternate hypothesis.
Part b: CI = (−3.637,−2.163)
Step-by-step explanation:
AS the sample sizes are sufficiently large (n1,n2> 30) we can use the sample standard deviations in place of population standard deviations.
Part a:
The null and alternate hypotheses are
i) H0: ud ≥ u vs Ha: ud < u
where
ud is the mean of the days missed per year by mothers working for companies that provide day-care facilities on premises
and
u is the mean number of days missed per year by mothers working for companies that do not provide day-care facilities on premises
ii) As the significance level is ∝= 0.025 and it is one tailed test then the critical region R < - 1.96
iii) The test statistics is
z= xˉ1 − xˉ2/√ s 1² /n 1 +s 2² /n 2
= 6.4−9.3/ √1.2 ² /45+ 1.85² /50
=−9.15
iv) The calculated z = −9.15 values lies in the critical region= R < - 1.96 and the null hypothesis is rejected. Hence the mean of absentees for companies that provide day-care facilities on premises is less than the
the mean number of absentees for companies that do not provide day-care facilities on premises.
We accept the alternate hypothesis.
Part b:
The confidence interval can be calculated using the formula
CI = ( xˉ1 − xˉ2) ± z∝/2 √ s 1² /n 1 +s 2² /n 2
CI = (6.4−9.3) ± 2.326 * √1.2 ² /45+ 1.85² /50
CI = (−3.637,−2.163)
does x^2+y^2=9 represent y as a function of x?
No, x²+y²= 9 does not represent y as a function of x.
For x= 0,
y²= 9
=>y= ±3,
i.e y has two values +3 and -3
Since single value of x , there are two values of y
For an equation or relation to be function every element in domain( every value of x) there should one distinct value or image in co-domain (one value of y)
A motorbike covers the first 25km in 2 hours next 30 km in 3 hours and the remaining 35 km in 4 hours. Find the average speed of the motorbike
Answer:
10km per hour
Step-by-step explanation:
Distance = speed * time
speed = distance/time
------------------------
Distance traveled
25 + 30 + 35 = 90 km
Time
2 + 3 + 4 = 9 hours
Average peed
90/9 = 10km per hour
A company ordered 21 printers and 33 computers at a total cost of $22,530. Another
order of 28 printers and 36 computers cost $25,800. Find the cost of each printer and
each computer,
Answer:
The cost per printer is $240 and the cost per computer is $530
Explanation:
Make the equation from both parts of the problem and solve them.
Name a fraction between 3.43 and 3.44
7/16 = 0.4375
3.4375 is between 3.43 and 3.44
The answer: 3 and 7/16
how to factor z²-4z+4
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: ({ \: z - 2 \: })^{2} \: }}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] {z}^{2} - 4z + 4[/tex]
[tex] = {z}^{2} - 2z - 2z + 4[/tex]
Taking "[tex]z[/tex]" as common from first two terms and "[tex]2[/tex]" from last two terms, we have
[tex] = z \: ( \: z - 2 \: ) - 2 \: ( \: z - 2 \: )[/tex]
Taking the factor [tex](z-2)[/tex] as common,
[tex] = ( \: z - 2 \: )( \: z - 2 \: )[/tex]
[tex] = {( \: z - 2 \: )}^{1 + 1} [/tex]
[tex] = ({ \: z - 2 \: })^{2} [/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35❦}}}}}[/tex]
A bag has 3 res marbles, 2 blue, 1 yellow and 4 green . What is the probability of pulling a green
Answer:
4/10 but simplified = 2/5
Step-by-step explanation:
Add the marbles up, there are 4 green, so it's 4/10
But if you simplify it, it would be 2/5
I hope this helped!
1. A jeepney driver claims that his average monthly income is Php 3000.00 with a standard deviation of Php 300.00. A sample of 30 jeepney drivers were surveyed and found that their average monthly income is Php 3500.00 with a standard deviation of Php 350.00. Test the hypothesis at 1% level of significance?
Answer:
Kindly check explanation
Step-by-step explanation:
The hypothesis :
H0 : μ = 3000
H0 : μ ≠ 3000
The test statistic :
(xbar - μ) ÷ (s/√(n))
xbar = 3500
μ = 3000
σ = 300
n = 30
(3500 - 3000) ÷ (350/√(30))
Test statistic = 7.824
Df = 30 - 1 = 29
Tcritical at 0.01 = 2.462
Test statistic > critical value ; we reject H0 ; and concluded that there is significant evidence that
μ ≠ 3000
Bob can mow a yard in 5 hours and Jeff can mow the same lawn
in 3 hours. Which equation could be used to solve an equation to find the time
it would take to mow the yard if they both mowed the lawn at the same time? *
Answer:
2 hours
Step-by-step explanation:
because they work faster togetter and jeff mows faster
X Y
-10 2
-15 3
-25 5
Determine whether y varies directly with x. If so, find the constant of variation and write the equation
Answer:
x = -5y
Step-by-step explanation:
x = ay
-10 = 2a
a = -5
x = ay
-15 = 3a
a = -5
x = ay
-25 = 5a
a = -5
Often when you try to learn new vocabulary words, you find that after a few days you have forgotten some of
what
you learned. Suppose you cram for a big test and memorize 100 new words, and, for each day after the
test, you forget 10 percent of the words you learned.
How many words will you remember after two weeks
Answer:
you will remember none of the words.
Step-by-step explanation:
10%of hundred words is 10.
students attend school for 5 days in a week.So if one is to forget 10 words out of 100 words every day for two weeks after a test,one loses all words.
5×10=50
for two weeks=
50×2=100.
What is the solution to problem 1.5? Please explain how you got to that conclusion.
Will mark Brainlest. ( if you spun the spinner 1 time ,what is the probabilty that it would land on gray piece) step by step
Answer:
P(grey) = 0.2857
Step-by-step explanation:
Remark
This is another one of those questions where assumptions are being made with no valid proof that they are correct.
Assumptions
All of the pie shapes are equalThere are 7 of them. The events are all equally likely to happen. The spinner is "fair."Solution
There are 2 grey pie shaped pieces.
There are 7 shapes all together.
P(grey) = 2/7
P(grey) = 0.2857
Find the value of x and the value of y
Answer:
B. x = 7, y = 4√2
Step-by-step explanation:
Drop a vertical from the upper left corner
This creates a rectangle and a 45-45-90 triangle
The bottom of the rectangle is 3
The legs of the triangle are 4
Therefor
x = 4 + 3
x = 7
For a 45-45-90 triangle
the hypotenuse = leg * √2
y = 4√2
Oliver is building a rectangular dog pen with an area of 18.9 square feet. If the length of the dog pen is 6.3 feet, what is the width?
Answer:
3 feet
Step-by-step explanation:
A = l x w Formula
18.9 = 6.3 x w Substitution
18.9/6.3 = w Division
3 = w Solution
Solve for X in the triangle. Round your answer to the nearest tenth
Answer:
[tex]\displaystyle x \approx 9.9[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 64°
Opposite Leg = x
Hypotenuse = 11
Step 2: Solve for x
Substitute in variables [sine]: [tex]\displaystyle sin(64^\circ) = \frac{x}{11}[/tex][Multiplication Property of Equality] Multiply 11 on both sides: [tex]\displaystyle 11sin(64^\circ) = x[/tex]Rewrite: [tex]\displaystyle x = 11sin(64^\circ)[/tex]Evaluate: [tex]\displaystyle x = 9.88673[/tex]Round: [tex]\displaystyle x \approx 9.9[/tex]Use the graph to answer the question.
What is [tex]\frac{AD}{AB}[/tex] in simplest form?
A. [tex]\frac{10}{3}[/tex]
B. [tex]\frac{1}{3}[/tex]
C. [tex]\frac{17}{5}[/tex]
D. 3
Answer:
D. 3
Step-by-step explanation:
Distance between A and D = AD = 9 units
Distance between A and B = AB = 3 units
[tex] \frac{AD}{AB} = \frac{9}{3} [/tex]
Simplify by dividing
[tex] \frac{AD}{AB} = \frac{3}{1} [/tex]
[tex] \frac{AD}{AB} = 3 [/tex]
The answer is 3
GIVING BRAINLIEST!!!!!!
Answer:
B-2
Step-by-step explanation:
To find the constant of dilation take the lead of EF and divide it by the length of AB to get (6/3)=2
Do problem 9
I NEED HELP IM CONFUSED
Answer:
1st answer 52+7=59
2nd answer 52-18=32
3rd answer 74-52=22
4th answer 2×52=104
please mark it as the brainlliest answer
PLEASE HELP! 50 POINTS A circle has a radius of 3. An arc in this circle has a central angle of 20°.
What is the length of the arc?
Either enter an exact answer in terms of it or use 3.14 for pie and enter your answer as a decimal.
Answer:
sana Po nakatulong
stay safe po
What is the largest 4- digit number that is divisible by 3, 6, and 9? Explain how you know.
========================================================
Explanation:
Start with the largest four digit number possible (9999) and see if it's divisible by 3, 6 and 9
9999/3 = 33339999/6 = 1666.59999/9 = 1111When dividing the number over 6, we don't get a whole number. So 6 is not a factor of 9999, and we cross 9999 off the list.
------------------------
Decrease the number by 9. We do this because the result will be another multiple of 9 (which is automatically also a multiple of 3 as well, since 9 = 3*3)
So we go from 9999 to 9990
Repeat the last set of steps we did earlier
9990/3 = 33309990/6 = 16659990/9 = 1110Every result is a whole number, which shows that 9990 is a multiple of 3, 6 and 9. In other words, 9990 is divisible by 3, 6 and 9. It's the largest such 4 digit number.
2) 13 candy bars weigh 26 ounces. What is the
weight of 35 candy bars?
Answer is 70 ounces
Step-by-step explanation:
13 candy bars weigh =26 ounces
1 candy bar weighs=26/13=2 ounces
35 candy bars weigh=2x35=70 ounces
Step-by-step explanation:
hear is your answer in attachment
Find z such that 97.5% of the standard normal curve lies to the left of z. (Enter a number. Round your answer to two decimal places.)
Answer:
z=1.96
Step-by-step explanation:
Using normal distribution table or technology, 97.5% corresponds to z=1.959964, generally denoted z=1.96, or 1.96 standard deviations above the mean.
(above value obtained from R)
Which line is parallel to line CD in this figure?
line FA
line FC
line AD
A figure with 4 lines. Line A F is the same distance from line C D at every point. Line A D intersects line A F at point A and line C D at point D. Line F C intersects line A F at point F and line C D at point C.
The line that is parallel to line CD in the figure is A. Line FA
From the provided information, line FA is the same distance from line CD at every point, meaning that these lines are parallel.
What do parallel lines mean?Parallel lines are lines on a flat surface that never meet or cross each other.
When two lines are straight from beginning to end, they are parallel. Their distance is always the same at all points.
Some properties of parallel lines include:
Their corresponding angles are equal.The interior angles are also equal when another line cuts across them.From the given figure, we can see that FA||CD.
Learn more about parallel lines at brainly.com/question/30195834
#SPJ1
Will mark brainliest! Problem is in pic below, no links please. Thanks.
Answer:
0.6
Step-by-step explanation:
The third side of the triangle ABC is AB. Using the Pythagorean Theorem, its length is 12. [tex]12^{2} +16^2=20^2[/tex]
∠F is congruent to ∠C and so the sin(∠F) = sin(∠C)
The sin(∠C) = opposite/hypotenuse
= |AB| / |AC|
= 12/20
= 3/5
= 0.6
so the answer is 0.6
PLS HELP! If m(x) = 2x3 – 3x + 12, what is the value of m(-2)?
Answer:
[tex]m(x) = 2 {x}^{3} - 3x + 12 \\ m( - 2) = 2 {( - 2)}^{3} - 3( - 2) + 12 \\ = 2[/tex]
Sum of 5x^2+2x and 4-x^2
Answer:
4x^2 + 2x + 4
Step-by-step explanation:
5x^2 + 2x + 4 - x^2
4x^2 + 2x + 4
Answer:
2(2x^2 + x + 2)
Step-by-step explanation:
5x^2+2x + 4-x^2
Re arrange so like terms are next to each other
Keep the same symbol that is at the front of the term when moving it
5x^2 - x^2 + 2x + 4
We will just do the first part first
5x^2 - x^2
5x^2 - 1x^2 (is the same thing as above)
So because they are like terms (are both x^2)
We can just minus 1 from 5
5-1=4
So 4x^2
Now the equation is
4x^2 + 2x + 4
This is as small as it gets but you can also bring it to this
4, 2 and 4 all are divisible by 2 so
2(2x^2 + x + 2)
Can someone help me solve this please
PLEASE HALP MEEEEEEeeeee
Answer:
try me
Step-by-step explanation:
try these nuts
Answer:
lol
Step-by-step explanation:
Would you rather have your debit card declined if you don't have enough
money to pay for something or would you rather pay the overdraft fee?
and why I'll mark brainest
Answer:
I would have my debit card declined because it is a better choice prob than having to pay the overdraft fee.
if tan theta is equal to 12/5 find the value of sin theta + 2 cos theta over 1 minus sine theta
Step-by-step explanation:
the answer is in the image above
