Answer: The answer is 8.
Step-by-step explanation:
what expression is equal 4to the -2 power multiplied by 7 to the -2 power
Answer:
Step-by-step explanation:
4^-2 * 7^-2
= 1/4^2 * 1/7^2
= 1/16 * 1/49
- 1/784
a human resources representative claims that the proportion of employees earning more than $50,000 is less than 40%. to test this claim, a random sample of 700 employees is taken and 305 employees are determined to earn more than $50,000. the following is the setup for this hypothesis test: $ h0: p
The test is one of the form Hₐ < ; that means is a right tail test, and the value z(p) is bigger than our critical value (z(c) = 1.64) so we rejecte H₀
According to problem ststement : We need to solve an Hypotesis test proportion so:
H₀ P₀ = 0,4 and Hₐ < 0,4 ( Alternative hipotesis)
From a random sample of 700 employes 305 are determined to earn more than $ 50000
Proportion pₐ = 305/700 = 0,4357 pₐ = 0,4357
proportions are p = 0.4 and q = 0,6
We will asume a confidence level of 95 % hence α= 1-0,95 α = 0,05
so from z table we find z(c) = 1,64
Therefore we must calculate our z(p) = ( pₐ-p₀) ÷√(p*q)/n
Calculating z(p) = 0,0357 /0,01851 ⇒ z(p) 1.9286
Our test is one of the form Hₐ < ; that means is a right tail test, and the value z(p) is bigger than our critical value (z(c) = 1.64) so we rejecte H₀
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Mr. Piper's plumbing needed repairs. The plumber charged $98 for parts plus $45 per
hour for labor. If the bill totaled $458, how could I find out the hours of labored
required?
Answer:
B is the answer.
Step-by-step explanation:
X is the number of hours the plumber worked.
Answer: B
Step-by-step explanation:
i need help finding out what Q is: 15 + q/6 = -21
Answer: q = -216
Step-by-step explanation:
multiply both sides
90 + q = -126
move the constant to the right
q = -126 = 90
calculate
q = -216
have a GREAT day!!
The ratio of the number of men to the number of woman is 9:5 if there are 63 men how then how many woman are there
Answer:
Step-by-step explation:
if the ratio of 9 contains 63 men then what about the ratio of 5 u do cross multiplication it will be 5 ×63 the answer you get multiply by 9 answer will be 35
The temperature rises 2c each hour from 6:00 am to 3:00 pm. What is the total change in temperature during this period of time?
Answer:
20c
Step-by-step explanation:
if the temperature rises 2c every hour u count from 6 to 3 and it would be 10 hours
then u do 10×2=20 or 10×2=20c
Solve it please ☹️ hehdhdbssbdvs
Write the given equation in slope-intercept form -10x + 2y = 12
Answer:
x-intercept- (-1.2,0)
y-intercept- (0,6)
Step-by-step explanation:
To find the slope-intercept form, we have to find x and y.
First, find x. Get rid of the 2y, and the equation will look like this.
-10x=12
Now, divide both sides by -10.
12/-10=-1.2
The x-intercept would be (-1.2,0)
To find the y-intercept form, do the same thing.
Get rid of the -10x.
2y=12
Divide by 2 on both sides.
y=6
The y-intercept form would be (0,6)
Hope this helps! :D
11. you suspect a 6-sided die to be loaded and conduct a probability experiment by rolling the die 400 times. the outcome of the experiment is listed in the following table. do you think the die is loaded? why?
There is insufficient evidence to prove that the dice are loaded because every number on them has a probability of 1/6.
The likelihood of any number appearing on a six-sided die is 1/6.
It will not be 1/6 if it is loaded.
In order to determine whether the provided distribution complies with the idealized distribution of the dice throw, we do a chi-square test.
Step 1: Form the hypothesis.
H₀ = The likelihood of rolling any number on a six-sided die is one-sixth.
H₁ = The likelihood of getting any number on a six-sided die is not one in six.
Step 2: Indicate the degree of significance.
Alpha = 0.5
Step 3: computation of the chi-square test statistic (Image is attached for this step)
Step 4: Discover the important value.
Critical Value ⇒ 12.8325 =CHISQ.INV[1 - (0.05 / 2), 5]
Step 5: Determine the p-value.
p-value ⇒ 0.853 =1 - CHISQ.DIST(1.97,5,TRUE)
Step 6: Make a choice regarding whether or not to reject H₀
We are unable to reject the null hypothesis since the p-value is higher than 0.05.
As a result, we draw the conclusion that there is a 1/6 chance of getting any number on a six-sided die.
Note: Since the chi-square value is below the threshold, the null hypothesis cannot be rejected.
Because every number on the dice has a probability of 1/6, there is insufficient evidence to support the assertion that the dice are loaded.
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Whoever Answers First I will make Brainliest Evaluate
{[(20−32)÷(−6)]2−11}÷(−7)
2=r +2
WILL MARK BRAINLIEST!!
Answer:
Step-by-step explanation:
Step 1: Flip the equation.
r+2=2
Step 2: Subtract 2 from both sides.
r+2−2=2−2
2-2=0
Therefore your answer is 0
Jada has a new puppy that weighs 9 pounds. the vet says that the puppy is now at about 20% of its adult weight. what will be the adult weight of the puppy?
The adult weight of the puppy calculated using percentage is 45 pounds .
In mathematics, a value or ratio that can be expressed as a simple fraction of 100 is known as a percentage.
When determining a percentage of a number, we should first divide it by 100 before multiplying the result by 100.
As a result, the proportion refers to a component per 100. The word percent denotes a percentage of 100.
It is represented by the symbol "%." Percentages can also be written as decimals or fractions, like in 0.6%, 0.25%, etc.
Academic grades are calculated using percentages for every subject. Ram, for example, received a 78% on his qualifying exam.
The weight of the puppy is 9 pounds.
This is 20% of the adult weight.
Let the adult weight be x.
therefore 20% of x = 9
Calculating we get x = 45 pounds
Hence the adult weight of the puppy is 45 pounds.
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Rewrite in simplest terms: 10(-4h+7)-9h
The simplest term is -49h + 70.
The equation given is:
10(-4h + 7) -9h
We have to simplify it in its simplest form:
10(-4h + 7) -9h
After removing the bracket part we have:
= -40h + 70 - 9h
Adding the similar term in the equation we have:
= -49h + 70
Therefore the simplest term of the equation is -49h + 70.
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How do you find this??
Answer:
Step-by-step explanation:
18
Select the correct answers from each drop-down menu.
Complete the steps in the proof that show quadrilateral KITE with vertices K(0, -2). I(1, 2). T(7,5), and E(4,-1) is a kite.
Using the distance formula, KI = √√(2 – (-2)² + (1 - 0)² = √17. KE =
-
IT =
and TE=
Therefore, KITE is a kite because
→
In the quadrilateral KITE,
The value of side KI = [tex]\sqrt{17}[/tex]
The value of side KE = [tex]\sqrt{17}[/tex]
The value of side IT = [tex]3\sqrt{5}[/tex]
The value of side TE = [tex]3\sqrt{5}[/tex]
The quadrilateral KITE is a kite because , KI = KE and IT = TE
How are the values of the quadrilateral sides calculated?
K (0,-2) , I(1,2) ,T(7,5) , E(4, -1)
KI = [tex]\sqrt{17}[/tex]
What is the value of side KE ?
K (0,-2) and E(4, -1)
The distance formula is:
[tex]d = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2} }\\\\KE =\sqrt{(4-0)^{2} + (-1 +2)^{2} }\\\\KE = \sqrt{(4)^{2} + (1)^{2} }\\\\KE = \sqrt{16+1} \\\\KE = \sqrt{17}[/tex]
The value of side KE of the quadrilateral = [tex]\sqrt{17}[/tex]
What is the value of side IT ?
I(1,2) and T(7,5)
The distance formula is:
[tex]d = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2} }\\\\IT =\sqrt{(7-1)^{2} + (5-2)^{2} }\\\\IT = \sqrt{(6)^{2} + (3)^{2} }\\\\IT = \sqrt{36+9} \\\\IT = \sqrt{45} =3 \sqrt{5}[/tex]
The value of side IT of the quadrilateral =[tex]3\sqrt{5}[/tex]
What is the value of side TE ?
T(7,5) and E(4, -1)
The distance formula is :
[tex]d = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2} }\\\\TE =\sqrt{(4-7)^{2} + (-1-5)^{2} }\\\\TE = \sqrt{(-3)^{2} + (-6)^{2} }\\\\TE = \sqrt{9+36} \\\\TE = \sqrt{45} =3 \sqrt{5}[/tex]
The value of side TE of the quadrilateral = [tex]3\sqrt{5}[/tex]
The quadrilateral KITE is a kite because :
KI = KE and IT = TE Two sets of a quadrilateral with equal lengths and adjacent edges are kites.To learn more about quadrilaterals, refer:
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Answer:
The answer is in the picture.
Hope this helps!
Step-by-step explanation:
sammy buys 5 pounds of oranges for 7.50 at this rate how much would 8 pounds of oranges cost
The cost of 8 pounds of oranges based on the total cost of 5 pounds bought is 12.00
What is the cost for a pound of oranges?
The cost of a pound of oranges based on the rate at which 5 pounds were bought and 8 pounds would also be bought is determined as the amount paid for 5 pounds of oranges divided by the number of pounds of oranges bought
cost per pound of oranges=cost of 5 pounds/5 pounds
cost per pound of oranges=7.50/5
cost per pound of oranges=1.50
Based on the 1.50 per pound, the cost of 8 pounds is the cost per pound multiplied by 8 pounds
cost of 8 pounds of oranges=1.50*8pounds
cost of 8 pounds of oranges=12.00
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Prizes and the chances of winning in a sweepstakes are given in the table below.
Prize Chances
$10,000,000 1 chance in 300,000,000
$350,000 1 chance in 150,000,000
$50,000 1 chance in 10,000,000
$20,000 1 chance in 1,000,000
$400 1 chance in 200,000
A watch valued at $75 1 chance in 6,000
(a) Find the expected value (in dollars) of the amount won by one entry.
(b) Find the expected value (in dollars) if the cost of entering this sweepstakes is the cost of a postage stamp (34 cents)
The expected value of the discrete distribution, for each case, is given as follows:
a) Amount won by one entry: $0.075.
b) If the cost is the cost of a postage stamp: -$0.525.
How to obtain the expected value of a discrete distribution?The expected value of a discrete distribution is obtained with the sum of each outcome multiplied by it's probabillity.
In this problem, the distribution for the prizes is given as follows:
P(X = 10,000,000) = 1/300,000,000.P(X = 350,000) = 1/150,000,000.P(X = 50,000) = 1/10,000,000.P(X = 20,000) = 1/1,000,000.P(X = 400) = 1/200,000.P(X = 75) = 1/6,000.Hence the expected value for the prizes is:
E(X) = 10,000,000 x 1/300,000,000 + 350,000 x 1/150,000,000 + 50,000 x 1/10,000,000 + 20,000 x 1/1,000,000 + 400 x 1/200,000 + 75 x 1/6,000 = $0.075.
The cost of a postage stamp is of $0.6, hence the expected value considering this cost would be of:
0.075 - 0.6 = -$0.525.
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Of the 300 scarves, 200 are not blue.
(d) Write the number of scarves which are blue as a fraction of the total number
of scarves.
The answer will be: 200/300 of scarves are blue. 200/300 also is equal to 2/3. The fractions with distinct numerators and denominators but the same value are said to be equivalent fractions.
What does "fraction" mean?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
A fraction is referred to as the portion of a whole in mathematics. For instance, if a pizza is cut into four equal pieces, each one is represented by a quarter. Fractions make calculations quicker and easier by making it easier to distribute and judge numbers.
Reduce the fractions if they aren't already in the lowest terms. Then, all that is required is to multiply the denominator by the denominator and the numerator by the numerator. For instance, multiplying 2 by 7 yields the new numerator, which is 14, when multiplying 2/3 and 7/8. The result of multiplying 3 by 8 is 24.
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Noah bought `4` tickets and paid `\$103`. What was the cost per ticket?
Ray is on the school basketball team. During practice, Ray made 23 out of 40 free throw shots. Which letter on the number line best represents the percent of free throw shots ray made? D E F G
Can anybody help with this question please I really don't understand this homework
Answer:
I see no question?
Step-by-step explanation:
3. Which point is closest to -3 on the number line?
Answer: D.
Step-by-step explanation:
-2/20 = -0.1, 0.1 is the closet one to -3
please help meeeeeeeeeeeeeeeeeeeeee
URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Answer:
a
Step-by-step explanation:
HELP MEEEEEEEEEEE, Ed's living room is 4 yards wide and 7 yards long. He wants to install yellow carpet that costs $5.00 per square yard. How much will it cost to buy enough carpet for the living room?
It will cost 140 dollars to buy enough carpet for the living room.
What is a rectangle?A rectangle is a four-sided figure in which opposite sides are equal and the diagonals are also of the same length.
Given Ed's living room is 4 yards wide and 7 yards long.
We know that the area of a triangle is the product of its length and width.
∴ The area of Ed's living room is (4×7) sq yards = 28 sq yards.
Also given to install yellow carpet that costs $5.00 per square yard,
∴ For 28 sq yards, the cost of installing a yellow carpet will be,
= (28×5) dollars.
= 140 dollars.
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pls help ASAP for brainliest
(should have solution)
Answers:
15) x= −1 and y=2
16) x=2 and y= −1
Step-by-step explanation:
15) Solve the system by elimination:
Multiply the first equation by 2 and the second equation by 1.
2(8x−6y=−20)
1(−16x+7y=30)
They then become:
16x−12y=−40
−16x+7y=30
Add the two equations to eliminate x:
−5y=−10
Then solve for y by dividing both sides by -5:
−5y/−5 = −10/−5
The answer for y is y=2
Now Substitute 2 for y in the equation 8x−6y=−20:
8x−(6)(2)=−20
8x−12=−20
Add 12 to both sides:
8x−12+12=−20+12
8x=−8
Divide by 8:
8x/8 = −8/8
The answer for x is x=−1
16) Solve the system by elimination:
Multiply the second equation by 6 and merge the equations together.
(6x−12y=24)
6(−x−6y=4)
They then become:
6x−12y=24
−6x−36y=24
Add the two equations to eliminate x:
−48y=48
Then solve for y:
−48y=48
−48y/−48 = 48/−48
The answer for y is y= −1
Now substitute −1 for y in 6x−12y=24:
6x−(12)(−1)=24
6x+12=24
Add -12 to both sides:
6x+12+−12=24+−12
6x=12
6x/6 = 12/6
The answer for x is x=2
Solved! Please don't forget the Brainliest!!
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here we go ~
Problem 15.) The two equations are :
[tex] \sf \: 8x - 6y = - 20 \: \: \: \: \: \: \: - (1)[/tex][tex]\sf - 16x + 7y = 30 \: \: \: \: \: \: - (2)[/tex]Let's multiply whole equation (1) by 2
[tex]\qquad \sf \dashrightarrow \: 16x - 12y = - 40 \: \: \: \: \: \: - (3)[/tex]
Now, Add equation (3) and equation (2)
[tex]\qquad \sf \dashrightarrow \: 16x - 12y - 16x + 7y = - 40 + 30[/tex]
[tex]\qquad \sf \dashrightarrow \: - 5y = - 10[/tex]
[tex]\qquad \sf \dashrightarrow \: y = - 10 \div - 5[/tex]
[tex]\qquad \sf \dashrightarrow \: y = 2[/tex]
Plug the value of y in equation (1) :
[tex]\qquad \sf \dashrightarrow \: 8x - 6y = - 20[/tex]
[tex]\qquad \sf \dashrightarrow \: 8x - 6(2) = - 20[/tex]
[tex]\qquad \sf \dashrightarrow \: 8x - 12 = - 20[/tex]
[tex]\qquad \sf \dashrightarrow \: 8x = - 20 + 12[/tex]
[tex]\qquad \sf \dashrightarrow \: x = - 8 \div 8[/tex]
[tex]\qquad \sf \dashrightarrow \: x = - 1[/tex]
So, the required values are : x = -1 and y = 2
Problem 16.) The two equations are :
[tex] \sf 6x - 12y = 24 \: \: \: \: \: \: \: - (1)[/tex][tex] \sf - x - 6y = 4 \: \: \: \: \: \: \: \: \: \: \: - (2)[/tex]Multiply equation (2) by 2 :
[tex]\qquad \sf \dashrightarrow \: - 2x - 12y = 8 \: \: \: \: \: \: - (3)[/tex]
Now, subtract equation (3) from equation (1)
[tex]\qquad \sf \dashrightarrow \: 6x - 12y - ( - 2x - 12y) = 24 - 8[/tex]
[tex]\qquad \sf \dashrightarrow \: 6x - 12y + 2x + 12y= 16[/tex]
[tex]\qquad \sf \dashrightarrow \: 8x = 16[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 16 \div 8[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 2[/tex]
Now, plug x = 2, in equation (2) :
[tex]\qquad \sf \dashrightarrow \: - x - 6y = 4[/tex]
[tex]\qquad \sf \dashrightarrow \: - 2 - 6y = 4[/tex]
[tex]\qquad \sf \dashrightarrow \: - 6y = 4 + 2[/tex]
[tex]\qquad \sf \dashrightarrow \: - 6y = 6[/tex]
[tex]\qquad \sf \dashrightarrow \: y = 6 \div - 6[/tex]
[tex]\qquad \sf \dashrightarrow \: y = - 1[/tex]
So, the required values are : x = 2 and y = -1
A cylindrical metal pipe has a diameter of 20 millimeters and a height of 21 millimeters. A cylindrical hole cut out of the center has a radius of 6 millimeters.
A cylinder is shown. A smaller cylinder is cut out of the middle of the larger cylinder. Both have a height of 21 millimeters. The diameter of the larger cylinder is 20 millimeters, and the the radius of the smaller cylinder is 6 millimeters.
Which expressions represent the volume of metal needed, in cubic millimeters, to make the pipe? Select two options.
21π(10)2 – 21π(6)2
π(20)2(21) – π(6)2
2,100π – 756π
7,644π
1,344
The expressions that represent the volume of metal needed , to make the pipe are (a)21*π*(10)² - 21*π*(6)² and (c)2100π - 756π .
In the question ,
it is given that
the diameter of the cylindrical metal pipe = 20mm
so the radius of the cylindrical pipe = 10 mm
height of the cylindrical metal pipe = 21mm
Using the formula of Volume of Cylinder = π*r²*h
the volume of cylindrical metal pipe = π*(10)²*21 .....(i)
the height of smaller cylinder = 21mm
radius of the smaller cylinder = 6mm
So, Volume of the smaller cylinder = π*(6)²*21 .....(ii)
the volume of metal needed to make the pipe = Volume of cylindrical metal pipe - Volume of the smaller cylinder .
Substituting the values from (i) and (ii) , we get
volume of metal needed = π*(10)²*21 - π*(6)²*21
= 21*π*(10)² - 21*π*(6)²
hence , option(a) is correct .
Further Simplifying , we get
= 21*100*π - 21*36*π
= 2100π - 756π
hence , option(c) is also correct
Therefore , the expressions that represent the volume of metal needed , to make the pipe are (a)21*π*(10)² - 21*π*(6)² and (c)2100π - 756π .
The given question is incomplete , the complete question is
A cylindrical metal pipe has a diameter of 20 millimeters and a height of 21 millimeters. A smaller cylinder is cut out of the middle of the larger cylinder. Both have a height of 21 millimeters and the the radius of the smaller cylinder is 6 millimeters.
Which expressions represent the volume of metal needed, in cubic millimeters, to make the pipe? Select two options.
(a) 21*π*(10)² - 21*π*(6)²
(b) π*(20)²*(21) – π*(6)²
(c) 2100π - 756π
(d) 7,644π
(e) 1,344
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Answer: A & C
Step-by-step explanation: Just did it
a day is divided into 10 new-hours, each new-hour is divided into 100 new-minutes, and each new-minute is divided into 100 new-seconds. the ratio of a new-second to an ordinary second is?
The ratio of a new-second to an ordinary second regarding the values given is 125 : 108
What is ratio ?The term ratio refers to a comparison of two or more numbers. ratio sometimes appear in the form x : y and is this is said to be x is to y
In the question, converting the units of days, hours, and minutes to seconds we have
= 1 day * 24 hours * 60 minutes * 60 seconds
= 86400
converting the units of days, new-hours, and new-minutes to new-seconds we have
= 1 day * 10 new-hours * 100 new-minutes * 100 new-seconds
= 100 000
The ratio of the new-seconds to ordinary seconds is calculated by
= 100 000 : 86400
= 125 : 108 (in least form)
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inge flies a kite at a height of 300 ft, the wind carrying the kite horizontally away at a rate of 25 ftsec. how fast must she let out the string when the kite is 500 ft away from her?
20 ft/sec must she let out the string when the kite is 500 ft away from her.
What is rate?
A rate is a unique ratio where the two words are expressed in several units.
For instance, the price is 69 for 12 ounces if a 12-ounce can of maize costs 69. This is not a proportion of two comparable units, like shirts. Cents and ounces are the two dissimilar units in this ratio.
Let x = distance of girl from the point on the ground directly below the kite at time t
y = length of string at time t
At time t, we have a right triangle with horizontal leg of length x, vertical leg of length 300, and hypotenuse of length y.
Given: dx/dt = 25
Find: dy/dt when y = 500
By the Pythagorean Theorem, [tex]x^2 +300^2 = y^2[/tex]
Differentiating both sides, with respect to t,
[tex](2x)\frac{dx}{dt} = 2y\frac{dy}{dt}[/tex] ...(1)
Since, [tex]x^2 +300^2 = y^2[/tex], y = 500,
So, x = 400
Plug these values in equation (1).
[tex]2(400)(25) = 2(500)\frac{dy}{dt}[/tex]
After solving,
[tex]\frac{dy}{dt} = 20 ft/sec[/tex]
Therefore, 20 ft/sec must she let out the string when the kite is 500 ft away from her.
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IF AB = 6x-9 BC = 3x+17 and AC = 5x+16, find BC
Since the point B is between points A and C, the length BC is 22.25 units
How to determine the numerical length of BC?From the question, we have the following parameters that can be used in our computation:
Length AB = 6x - 9
Length BC = 3x + 17
Length AC = 5x + 16
The above implies that the point B is between points A and C
So, we have the following equation
AC = AB + BC
Substitute the known values in the above equation
So, we have the following equation
5x + 16 = 6x - 9 + 3x + 17
Collect the like terms
So, we have the following equation
5x - 6x - 3x = -9 + 18 - 16
Evaluate the like terms
So, we have the following equation
-4x = -7
Divide by -4
x = 7/4
Substitute x = 7/4 in the equation BC = 3x + 17
So, we have the following equation
BC = 3 x 7/4 + 17
Evaluate
BC = 22.25
Hence, the numerical length of BC is 22.25 units
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