Answer:
A. H0:μ≥29;HA:μ<29
Pvalue < 0.01
D. Reject H0; the hourly wage is less than $29
Step-by-step explanation:
The null hypothesis will negate the claim which will be the hypothesis to be tested. Therefore, since the claim is to test if hourly wage is less Than 29 ; then the null will be that hourly wage is equal to or greater than 29
H0:μ≥29;HA:μ<29
The Pvalue measure the probability that the extremity of our finding against a certain α level. The Pvalue obtained using the Excel function should be 0.00058
When Pvalue is < α ; We reject the null hypothesis
Hence, Reject H0; the hourly wage is less than $29 and conclude that hourly wage is less Than $29
Help due at 12 am
God bless you
In ΔSTU, the measure of ∠U=90°, UT = 80, SU = 39, and TS = 89. What ratio represents the tangent of ∠S?
Answer:
[tex]\frac{80}{39}[/tex]
Step-by-step explanation:
SOHCAHTOA
O =Opposite
A = Adjacent
H = Hpotenuse
If we draw it out we can see that the opposite side is the UT and adjacent side is SU for ∠S.
When an angle is asked for like here is S so the opposite side of the angle is the opposite side. and the angle close to it is the adjacent. The biggest side is the hypotenuse.
Which expression is equivalent to? (first picture) Assume (second picture)
Answer choices:
A –50x8y18
B –2x8y18
C –2x12y72
D 5x8y18
HELO WILL GIVE BRANLIEST!
Answer:
Step-by-step explanation:
he surface area of a cube is equal to 6 times the side length squared.
SA=68^2
where SA is the surface area and 8 is the side length.
If the side length of the cube is 4 cm each, then let s=4 cm
So the surface area of the 4-cm-side-length cube is:
SA=6∗(4 cm)^2
=6∗16 cm^2
=96 cm^2
I need help
I missed the last classes and missed the explanation of the content
Answer:
a) 3.625 or [tex]\frac{29}{8}[/tex]
b) 7.05 or [tex]\frac{141}{20}[/tex]
The probability of buying a small car is 1. What does that mean?
It is unlikely.
It is impossible.
It is definite.
It is likely
Answer:
it is unlikely if it is one out of 5
Step-by-step explanation:
Pls answer its khan academy I really need it
Answer:
Step-by-step explanation:
Note the f(0) = 9
and f(1) = 15
Since, f(x) = abˣ substituting for x, we get:
9 = f(0) = a . b⁰ = a
⇒ a = 9
Now, f(1) = 15
⇒ 15 = a . b¹
⇒ 15 = 9 . b
⇒ b = 15/19
Therefore,
f (r) = 9. (5/3)
Hence, the answer.
5. What is the distance between two points with coordinates at (17, 21) and (28, 13)?
A 11.4
C 18.5
B 13.6
D 20
Answer:
this is the answer A
Step-by-step explanation:
Please explain. will give brainliest
Answer:
[tex]parallelogram \: area = 9.5 \times 13 = 123.5[/tex]
Answer:
A. 123.5
Step-by-step explanation:
The formula for a parallelogram is A=bh
So, if you plug in both numbers you get
A=9.5*13
9.5*13 is 123.5
A is correct
I hope this helps!
A square has an area of 64 square ft. What would be the measureme of its side? *
8ft
hope this helps, have an amazing day <3
Answer:8
Step-by-step explanation:
8x8=64
A city hosted a music festival that included three concerts. According to the sales database, 28% of the audience attended the first concert, 42% attended the second one, 30% attended the third one, 80% attended at least one of the three concerts, 10% attended the first and second ones, 8% attended the first and third ones, and 7% attended the second and third ones. Find the probability that a randomly selected audient attended all the concerts
Answer:
[tex]P(X\cap Y\cap Z)=0.05[/tex]
Step-by-step explanation:
From the question we are told that:
Percentage of audience in first concert [tex]P(X)=0.28[/tex]
Percentage of audience in second concert [tex]P(Y)=0.42[/tex]
Percentage of audience in third concert [tex]P(Z)=0.30[/tex]
Audience Percentage at at-least one concert [tex]P(X \cup Y \cup Z)=0.80[/tex]
Percentage of audience at first & second concert [tex]P(X \cap Y)=0.10[/tex]
Percentage of audience in first & third concert [tex]P(X \cap Z)=0.08[/tex]
Percentage of audience in second & third concert [tex]P(Y\cap Z)=0.07[/tex]
Generally the equation for probability of attending all concerts [tex]P(X\cap Y\cap Z)[/tex]is mathematically given by
[tex]P(X \cup Y \cup Z)=P(X)+P(Y)+P(Z)-P(X \cap Y)-P(X \cap Z)-P(Y\cap Z)+P(X\cap Y\cap Z)[/tex]
[tex]P(X\cap Y\cap Z)=P(X \cup Y \cup Z)-P(X)-P(Y)-P(Z)+P(X \cap Y)+P(X \cap Z)+P(Y\cap Z)[/tex]
[tex]P(X\cap Y\cap Z)=0.80-0.28-0.42-0.30+0.10+0.80+0.70[/tex]
[tex]P(X\cap Y\cap Z)=0.05[/tex]
Therefore the probability that a randomly selected audient attended all the concerts
[tex]P(X\cap Y\cap Z)=0.05[/tex]
A furniture manufacturing company manufactures dining-room tables and chairs. A table requires 8 labor-hour s for assembling and 2 labor-h ours for finishing. A chair requires 2 labor-hours for assembling and 1 labor-hour for finishing. The maximum labor-hours available p er day for assembly and finishing are 400 and 120, respectively. If x is the number of tables and y is the number of chairs produced per day, write a system of linear inequalities that indicates appropriate restraints on x and y.
Required:
Find the set of feasible solutions graphically for the number of tables and chairs that can be produced.
Answer:
See Annex In blue feasible region ( using Geogebra)
Step-by-step explanation:
Table 1.-
Assembling hours finishing hours
Product (tables) x 8 2
Product ( chairs) y 2 1
Availability 400 120
Constrains:
1.-Availability of assembling hours 400
8*x + 2* y ≤ 400
2.-Availability of Finishing hours
2*x + 1*y ≤ 120
3.-General constraints
x ≥ 0 y ≥ 0 integers
What is the area of this figure?
Answer:
58m^2
Step-by-step explanation:
2x9 = 18
8x5 = 40
18+40 = 58
A right triangle has a height of 18 inches and a base of 12 inches. Find the area of the triangle in square inches. Enter only the number. The solution is
Answer:
A=108in^2
Step-by-step explanation:
The area of a triangle is given by:
[tex]a = \frac{b \times h}{2} [/tex]
So,
[tex]a = \frac{12 \times 18}{2} = 108 \: {in}^{2} [/tex]
MATHEMATICS
PLANE if it is a plane figure and write SOLID if it is a solid
1. shoebox
2. tiles 3.ball
4.wheel 5.playing card 6.wall sticker 7.basket ball court 8.kite 9.dringking glass 10.tv screenshot
Answer:
P=plane
S=solid
1.s
2.p
3.s
4.s
5.p
6.p
7.s
8.p
9.s
10.p
If you are helped with my answer pls tag me brianliest
THANK YOU...
Divide £104 in the ratio 3:5
Answer:
39:65
Step-by-step explanation:
104/(3+5) = 104/8 = 13 13(3):13(5) = 39:65
A line l2 is perpendicular to the line x + 2y – 5 = 0 without computing the gradient of this
line find the equation of l2 if it passes through (3, 4)
Answer:
y=2x-2
Step-by-step explanation:
first, let's put the line into y=mx+b form (slope-intercept form), where m is the slope (or gradient) and b is the y intercept
add 5 to both sides
x+2y=5
subtract x from both sides
2y=-x+5
divide by 2
y=-1/2x+5/2
perpendicular lines have slopes (gradients) that are negative (one is positive, another one is negative) and reciprocal (they are essentially the same number, just "flipped")
to find the slope of I2:
since -1/2 is negative, that means the slope of I2 will be 2 (2/1 is the reciprocal of 1/2 (positive version of -1/2))
so here's our equation so far:
y=2x+b
now we need to find b
because line will pass through (3,4), we can use it to solve for b
substitute 4 as y and 3 as x
4=2(3)+b
multiply
4=6+b
-2=b
therefore the equation is y=2x-2
hope this helps!!
A student bought a calculator and a textbook for a course in algebra. He told his friend that the total cost was $115 (without tax) and that the calculator cost $20 more than four times the cost of the textbook. What was the cost of each item? Let x= the cost of a calculator and y= the cost of the textbook. The corresponding modeling system is {x+y=115x=4y+20. Solve the system by using the method of substitution.
Answer:
X=$96
Y=$19
Step-by-step explanation:
x=4y+20
X+Y=$115
4Y+20+Y=$115
5Y+20=$115
-20 -20
5Y=$95
/5 /5
Y=$19
X=4 x $19 + $20
X=$76+$20
X=$96
In linear equation, cost of calculator = $96 , cost of textbook = $19 is the cost of each item .
What are instances of linear equations?
Ax+By=C represents a two-variable linear equation in its standard form. A standard form linear equation is, for instance, 2x+3y=5.Finding both intercepts of an equation in this form is rather simple (x and y).When resolving systems of two linear equations, this form is also incredibly helpful.let cost of calculator = x
cost of textbook = y
x=4y+20 .................(1)
X+Y= 115 .................(2)
put value of equation 1 in 2
4Y+20+Y= 115
5Y+20= 115
5Y = 115 - 20
5Y = 95
Y = 95/5
Y = 19
Put value of y in equation 1
X=4 x 19 + 20
X= 76+ 20
X= 96
cost of calculator = 96
cost of textbook = 19
Learn more about linear equation
brainly.com/question/11897796
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Please help this is due today.
Answer:
[tex]b = 90[/tex]
[tex]c=80[/tex]
[tex]d =100[/tex]
Step-by-step explanation:
Given
See attachment
Required
Find b, c and d
First, we solve for b using:
[tex]b + 10 + b - 10 = 180[/tex] --- base angles of a parallelogram
Collect like terms
[tex]b + b =180+10-10[/tex]
[tex]2b = 180[/tex]
Solve for b
[tex]b = 180/2[/tex]
[tex]b = 90[/tex]
Then, we have:
[tex]d =b + 10[/tex]
[tex]c = b - 10[/tex] --- opposite angles
So, we have:
[tex]d =90 + 10[/tex]
[tex]d =100[/tex]
[tex]c = 90 - 10[/tex]
[tex]c=80[/tex]
Need help fast plz. Math
The number 9.636363 is rational
(NO LINKS)
Please help this assignment is over due and I don't get it thx;)
Answer: m=6
Step-by-step explanation:
Divide both sides by 3.4
3.4m/3.4 and 20.4/3.4
The value 0.01 is the maximum safe level of some naturally occurring lethal pollutant in drinking water for human consumption. You need to decide if you will use water coming from a specific source for one of the beverages your company produces, based on sample measures of this pollutant taken in random different locations and times at the source of water. In this case you would want to _____.
Question Completion:
Suppose that
H subscript o : mu less or equal than 0.01
H subscript alpha : mu greater than 0.01
The value 0.01 is the maximum safe level of some naturally occurring lethal pollutant in drinking water for human consumption. You need to decide if you will use water coming from a specific source for one of the beverages your company produces, based on sample measures of this pollutant taken in random different locations and times at the source of water. In this case you would want to _____.
A. maximize the power of the test
B. maximize beta
C. minimize mu
D. maximize the significance, alpha
E. maximize 1 minus alpha
Answer:
In this case you would want to _____.
D. maximize the significance, alpha
Step-by-step explanation:
The alpha (α) denotes the significance level or the probability of rejecting the initial or null hypothesis when it is true.
A higher alpha (α) reduces the probability of committing a Type II error or not rejecting the null hypothesis. On the other hand, a higher alpha (α) makes it more probable to reject a null hypothesis when it is true (Type I error).
What is c? This is pythgreomthryrom a=8 b=6 c=?
Answer:
4
Step-by-step explanation:
A popcorn cup is in the shape of a cone. The slant height of the cone is 9 inches, and the diameter is 6.2 inches. What is the volume of the cone? Use pi equals 3.14.
Answer:
V = 262.61 m³
Step-by-step explanation:
Given: Slant height of the cone is 9 inches, the diameter is 6.2 inches.
Formula: The formula for the volume of a cone is V = 1/3hπr².
Solve: V = 262.610935 m³
A hospital has 12 floors. On each floor there are 294 beds. The hospital wants one nurse for every 3 patients. How many nurses will the hospital have to hire to make this happen?
Belleview High School has 12 chaperones for 198 students on a field trip. Which of the following schools has the same ratio of chaperones to students?
Group of answer choices
Answer:
Jefferson High School
Step-by-step explanation:
so the same ratio would be 12 chaperones to 210 students....12/210 reduces to 2/35
18/300 reduces to 3/50
20/350 reduces to 2/35
8/160 reduces to 1/20
14/260 reduces to 7/130
So the same ratio would be Jefferson High School
Please help me thank you
Answer:
19/24 option d is correct
kim is paid £9.40 per hour for the first 35 hours she worked each week
after 35 hours she is paid at one and a quater times the hourly rate
calculate how much she is paid for that week
Answer:
after 35 hours she makes 11.75 an hour
Step-by-step explanation:
Help me please with this thank you
A private jet flies the same distance in 14 hours that a commercial jet flies in 7 hours. If the speed of the commercial jet was 181mph less than 3 times the speed of the private jet, find the speed of each jet.
Answer:
Private Jet = 181 mph Commercial Jet = 362 mph
Step-by-step explanation:
private jet travels distance D in 14 hours
commercial jet travels distance D in 7 hours
so commercial jet speed is twice the private jet
y = 2x
commercial jet speed = 3 · (private jet speed) - 181 mph
y = 3x - 181
2x = 3x - 181
2x - 3x = -181
-x = -181
x = 181
y = 2x
y = 362
362 = 3(181) - 181