Answer:
48 years old
Step-by-step explanation:
5 years old after 7 years is 12 years old. 12×4=48 years old
Answer: mirza's father age is 41 years
Step-by-step explanation:
mirza's present age = 5
mirza's age after seven years = 5+7 = 12
mirza's father age = x
therefore, x =4(12)=48
mirza's father present age = 48-7=41
Hi! I'm just a bit confused on the vocabulary. What should be the null hypothesis? Thanks in advance!
A large company is being sued for gender discrimination because 20% of newly hired candidates are women when 40% of all applicants were women. You plan to use hypothesis testing to determine whether there is significant evidence that the company's hiring practices are discriminatory.
State the null and alternative hypotheses for the significance test.
Answer:
null hypothesis: 20% of the newly hired candidates are women.
alternative hypothesis: out of 100% of the workers , only 40% are women and you 60% are male.
The null hypothesis = 20% of candidates are females who applied.
The alternative hypothesis is that only 20% of this store is female, 80% is male.
Hope it helps!
I need to find a b and c please help
Answer: a=4, b=16, c=12
Step-by-step explanation:
Use the intercept form: a(x - p)(x - q) where p & q are the intercepts.
Given: p = -3, q = -1, and y-intercept (c) = 12
a[x - (-3)][x - (-1)]
= a(x + 3)(x + 1)
= a(x² + 4x + 3)
= ax² + 4ax + 3a
y-intercept = 12
3a = 12
a = 4
Substitute a = 4
4x² + 4(4)x + 3(4)
= 4x² + 16x + 12
A sample of N = 9 students has a ΣX = 55 and ΣX2 = 370. For this sample, what is the standard deviation? Use the formula shown below. BE SURE TO ROUND OFF ALL DECIMALS TO 2 DECIMAL PLACES.
======================================================
Work Shown:
We are given the following
N = 9 as the sample size[tex]\sum X = 55[/tex] as the sum of the X values[tex]\sum X^2 = 370[/tex] as the sum of the [tex]X^2[/tex] valuesPlug those into the formula to get
[tex]s = \sqrt{\frac{N \sum X^2 - \left(\sum X\right)^2}{N(N-1)}}\\\\s = \sqrt{\frac{9*370 - \left(55\right)^2}{9(9-1)}}\\\\s = \sqrt{\frac{9*370 - 3025}{9(8)}}\\\\s = \sqrt{\frac{3330 - 3025}{72}}\\\\s = \sqrt{\frac{305}{72}}\\\\s \approx \sqrt{4.23611111111111}\\\\s \approx 2.05818150587141\\\\s \approx 2.06\\\\[/tex]
Please answer it in two minutes
Answer: x = 25
Step-by-step explanation:
KI is the midsegment of GH so GH = 2KI
Given: GH = x + 25, KI = x
x + 25 = 2(x)
x + 25 = 2x
25 = x
A shark is 80 feet below the surface of the water. It swims up and jumps out of the water to a height of 15 feet above the surface. Find the vertical distance the shark travels.
Answer:
∆y = 95 ft
the vertical distance the shark travels is 95 ft
Step-by-step explanation:
Given;
Initial position y1= 80 ft below the surface of water = -80ft
Final Position y2 = 15 ft above the surface = +15ft
The vertical distance travelled by the shark is;
∆y = y2 - y1 = 15 - (-80) ft
∆y = 15 +80 ft
∆y = 95 ft
the vertical distance the shark travels is 95 ft
Cheryl rents a 1400 sf storefront where her rent is $2.00 a sf. Per month. Her lease calls for a 5.5% additional rent for annual sales over $100,000. She made $145,000 last year. What is her annual rent?
Answer:
$36,075
Step-by-step explanation:
Cheryl's annual rent as a function of her annual sales is:
[tex]R = 1,400*2*12+(x-100,000)*0.055[/tex]
Where x are her annual sales, if x > $100,000. This function considers her fixed rent of $2 per square foot for 12 months, and her sales dependent rent.
Since she made $145,000 last year, her annual rent is:
[tex]R = 1,400*2*12+(145,000-100,000)*0.055\\R=\$36,075[/tex]
Her annual rent is $36,075.
In a certain congressional district, it is known that 20% of the registered voters classify themselves as conservatives. If ten registered voters are selected at random from this district, what is the probability that six of them will be conservatives
Answer:
Step-by-step explanation:
We would assume that a randomly selected registered voter, x is classified as a conservative or not. It means that there are only 2 possible outcomes. Thus, it is a binomial probability distribution and the probability of success, p is that a randomly selected voter is classified as a conservative. Therefore,
p = 20% = 20/100 = 0.2
Number of trials, n = 10
Number of success, x = 6
The probability that six out of 10 would be conservatives is expressed as
P(x = 6)
Using the binomial probability calculator,
P(x = 6) = 0.0056
A cell phone company is offering its customers the following deal: You can buy a new cell phone for $60 and pay a monthly flat rate of $40 per month for unlimited calls. The function y=40x+60 represents the total cost per month. How much money will this deal cost you after 9 months? How much would it cost for 0 months?
Answer:
Cost after 9 months = $420
Cost for 0 months = $60
Step-by-step explanation:
Given that:
Cost of new cell phone = $60
Cost for unlimited calls per month = $40
Function to represent the total cost per month:
[tex]y = 40x+60[/tex] ..... (1)
where y is the total cost and
x is the number of months.
To find:
Total cost after 9 months and 0 months.
Solution:
Let us put the value [tex]x = 9[/tex] in the above equation (1)
[tex]y = 40 \times 9 +60\\\Rightarrow y = 360 +60\\\Rightarrow y = \$420[/tex]
Hence, cost after 9 months = $420.
Cost after 0 months i.e. put the value [tex]x = 0[/tex] in the above equation (1)
[tex]y = 40 \times 0 +60\\\Rightarrow y = 0+60\\\Rightarrow y = \$60[/tex]
i.e. only cell phone is bought no cost for call is given.
Cost for 0 months is equal to the cost of cell phone.
So, the answers are:
Cost after 9 months = $420
Cost for 0 months = $60
Five times sum of a number, x,and nine is ten. What is the number?
Answer:
[tex]-7[/tex]
Step-by-step explanation:
[tex]5(x+9) = 10[/tex]
[tex]5x+45=10[/tex]
[tex]5x = -35[/tex]
[tex]x=-7[/tex]
Hope this helps.
Answer:
-7
Step-by-step explanation:
5(x + 9) = 10
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
...and is your order of operation.
First, divide 5 from both sides:
(5(x + 9))/5 = (10)/5
x + 9 = 10/5
x + 9 = 2
Next, isolate the variable x, by subtracting 9 from both sides:
x + 9 (-9) = 2 (-9)
x = 2 - 9
x = -7
x = -7 is your answer.
~
Help with the second question I am utterly confused! Please explian and I will give vrai lies y ASAP with 18 points
Answer:
See attached table
Step-by-step explanation:
Given base b,
the required formulas are:
Area of base = b^2
height: solve for h in 2b^2+4*bh = S =54
where S is the surface of 54
Substitute and solve for h,
h = (S - 2b^2)/(4b) = (54-2b^2)/(4b) = (27-b^2)/(2b)
The volume is equal to base area times height, or
V = b^2(h)
The completed table is attached.
which of the following are solutions to the equation below x^2-8x+16=5
Answer:
x₁ = 4 - √5 ; x₂ = 4 + √5Step-by-step explanation:
[tex]x^2-8x+16=5\\\\x^2-8x+11=0\\\\a=1\,,\ \ b=-8\,,\ \ c=11\\\\x_1=\dfrac{-(-8)-\sqrt{(-8)^2-4\cdot1\cdot11}}{2\cdot1}=\dfrac{8-\sqrt{20}}2=\dfrac{8-2\sqrt5}2=\dfrac{2(4-\sqrt5)}2=\\\\=4-\sqrt5\\\\x_2=\dfrac{-(-8)-\sqrt{(-8)^2-4\cdot1\cdot11}}{2\cdot1}=\dfrac{8+2\sqrt5}2=4+\sqrt5[/tex]
What is the positive solution of x2 – 36 = 5x?
Answer:
Required positive solution of the given quadratic equation is 9.
Step-by-step explanation:
Given Equation,
x² - 36 = 5x
We need to find positive solution of the given equation.
We solve the given quadratic equation using middle term split method.
x² - 36 = 5x
x² - 5x - 36 = 0
x² - 9x + 4x - 36 = 0
x( x - 9 ) + 4( x - 9 ) = 0
( x - 9 )( x + 4 ) = 0
x - 9 = 0 and x + 4 = 0
x = 9 and x = -4
Therefore, Required positive solution of the given quadratic equation is 9.
Please help me with this! Be very grateful.
Answer:
Length of A=6
Breadth of A=24/6=4
Length of B=6
Breadth of B=12/6=2
Step-by-step explanation:
Total surface area: 36
Ratio is 2:1
So, 2x + 1x = 36
3x=36
x=36/3
x=12
2*12=24
1*12=12
So areas are 24 and 12 respectively
Now, we can say that the sides of the square will be same, 6 cm
6*6=36
so the length of both rectangles will be 6
Hence we can divide each area by 6 and find the breadth.
Length of A=6
Breadth of A=24/6=4
Length of B=6
Breadth of B=12/6=2
Stay safe and stay cool
Hope it helps you.
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what is the solution to this equation? 4x+x-15+3-8=13
Answer:
x = 33/5
Step-by-step explanation:
4x+x-15+3-8=13
Combine like terms
5x -20 = 13
Add 20 to each side
5x-20+20 = 13+20
5x =33
Divide by 5
5x/5 = 33/5
x = 33/5
Which expressions are equivalent to 7(-3/4 times -4
Answer:
147
Step-by-step explanation:
7(-3/4 times -4 should most likely be written with a " ) " at the end:
7(-3/4 times -4).
Symbolically, this comes out to
7 -3 -4
7( ----------- )*(------ * --------- ) = 49(3) = 147
1 4 1
Note: If you are given possible answer choices, please share them. Thanks
A. 139.3m^2 B. 39.3m^2 C. 59.3^2 D.257.1m^2
Answer:
139.3 m²
Step-by-step explanation:
The figure is composed of a square and a semi circle.
area of square = 10² = 100 m²
area of semi circle = 0.5πr² = 0.5π × 5² = 0.5π × 25 = 12.5π ≈ 39.3 m²
Total area = 100 + 39.3 = 139.3 m²
PWAESE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
In the given figure, LMNO and GHJK are rectangles where GH = 1/2 LM and HJ = 1/2 MN. What fraction of the region is bounded by LMNO that is not shaded? (figure not drawn to scale)
A. 1/4
B. 1/3
C. 1/2
D. 3/4
Answer:
3/4
Step-by-step explanation:
To answer this question we must first calculate the area of GHJK:
A= GH*HJ A= (LM/2)* (MN/2) A= LM*MN/4 LM/MN is the area of LMNO So the area of LMNO is 4 times the area of GHJK A is the area of LMNO and S the area of GHJK S= A/4 A-S= A-A/4 = 3A/4 so the area that is not shaded is 3/4A scalene triangle has the lengths 6, 11, and 12. Keyla uses the law of cosines to find the measure of the largest angle. Complete her work and find the measure of angle Y to the nearest degree. 1. 122 = 112 + 62 − 2(11)(6)cos(Y) 2. 144 = 121 + 36 − (132)cos(Y) 3. 144 = 157 − (132)cos(Y) 4. −13 = −(132)cos(Y)
Answer:
[tex]Y\approx 84^\circ $(to the nearest angle)[/tex]
Step-by-step explanation:
The lengths of the sides of the scalene triangle are 6, 11, and 12.
We want to use the law of cosines to find the largest angle.
Note that the largest angle is always opposite the largest side.
Therefore:
[tex]1. 12^2 = 11^2 + 6^2-2(11)(6)\cos(Y) \\\\2. 144 = 121 + 36-(132)\cos(Y) \\\\3. 144 = 157 - (132)\cos(Y) \\\\4. -13 = -(132)\cos(Y)\\\\\\5. \cos(Y) = \dfrac{-13}{-132} \\\\6. Y = \arccos \left ( \dfrac{13}{132}\right)\\\\7. Y=84.35^\circ\\\\8. Y\approx 84^\circ $(to the nearest angle)[/tex]
The largest angle is 84 degrees to the nearest angle.
A 13.5-meter ladder leans against a brick wall and the ladder makes a 75∘ with the wall. The distance d the ladder goes up the wall is -- meters. Round your answer to the nearest tenth.
Answer:
3.5 m
Step-by-step explanation:
Use Pythagorean theorem to find the distance (d) the distance goes up the wall = adjacent to the angle 75° that is formed with the wall.
Length of ladder = the hypothenuse = 13.5 m
Thus, we would use:
Cos75 = adjacent/hypothenuse
Cos 75 = d/13.5
Multiply both sides by 13.5
13.5*cos(75) = d
13.5*0.2588 = d
3.4938 = d
d ≈ 3.5 m (nearest tenth)
Create a statement or a situation based on the given equation
a)
[tex]3x - 22 = \frac{x}{4} [/tex]
where x is an integer
Answer:
[tex]3x - 22 = \frac{x}{4} [/tex]
When twenty two is subtracted from a number multiplied by three the result is the same as the number divided by 4.
Hope this helps you
Answer:
here is the answer
Step-by-step explanation:
statement- the result obtained when 22 is subtracted from 3 times of a number is one-fourth of the number.
situation- rahul sees the price of a toy he wants to buy. after two years he comes to the shop again to buy the product. he notices that the price has become thrice the original. the shopkeeper agrees to reduce an amount of 22 rupees and he pays one fourth of the original price to the shopkeeper and buys the producet. find the original price of the toy.
YOO I NEED THIS RIGHT NOW!!
What is the difference of
[tex]( \frac{3}{4} x - \frac{2}{3} ) - ( - \frac{5}{6} + 2x)[/tex]
?
[tex] - \frac{5}{4} x + \frac{1}{6} [/tex]
[tex] - \frac{5}{4} x - \frac{1}{6} [/tex]
[tex] \frac{11}{4} x + \frac{1}{6} [/tex]
[tex] \frac{11}{4} x - \frac{1}{6} [/tex]
Answer:
The first option: -5/4x + 1/6.
Step-by-step explanation:
(3/4x - 2/3) - (-5/6 + 2x)
= (3/4x - 2/3) + 5/6 - 2x
= 3/4x - 2x - 2/3 + 5/6
= 3/4x - 8/4x - 4/6 + 5/6
= -5/4x + 1/6
So, the first option: -5/4x + 1/6.
Hope this helps!
The graph of y=4x[tex]x^{2}[/tex]-4x-1 is shown
Answer:
i.) (-0.25, 0), (1.25, 0)
ii.) (0.5, 2), (1.5, 2)
Step-by-step explanation:
For i, it is asking for the roots of the quadratic, or where the graph crosses the x-axis.
For ii, it is asking for the x-values when y = 2.
The sum of two numbers is 30. If we double the larger number, and subtract three times the smaller number, the result is 5. What is the positive difference between the two numbers?
Answer:
8 is the difference, and 19 and 11 are the numbers. Hope this helped!
Answer: The difference is 8.
Step-by-step explanation:
We will let l represent the larger number s represent the smaller number.
so we know that L + S =30
Also 2L - 3S = 5 shows the relationship between the numbers.
Now we have two equations.
L + S =30
2L - 3S = 5 solve using any method.
L + S =30 solve for L and substitute it into the second equation.
L + S = 30
-S -S
L = 30 -S
2(30-s) - 3s = 5 Distribute
60 - 2s - 3s = 5 combine like terms
60 -5s = 5
-60 -60
-5s = -55
s = 11
We know the smaller number is 11 so to find the larger number we will subtract 11 from 30.
30 -11 = 19
The larger number is 19
so To find the difference we will subtract 11 from 19.
19 -11 = 8
An open can of oil is accidentally dropped into a lake; assume the oil spreads over the surface as a circular disk of uniform thickness whose radius increases steadily at the rate 10 cm/sec. At the moment when the radius is 1 meter, the thickness of the oil slick is decreasing at the rate 4 mm/sec; how fast is it decreasing when the radius is 2 meters? (Watch the units!)
Answer:
−0.0005 m/sec.
Step-by-step explanation:
Let us denote the volume of the can as V
let us denote the radius of the circular disc in lake as r
Let us denote the thickness of the circular disc as h
But we know the volume of the can as πr^2h then we can calculate How fast it is decreasing when the radius is 2 m
CHECK THE ATTACHMENT FOR DETAILED EXPLANATION
(-2 + 1)² + 5(12 3) - 9.
The value of the expression is ?
Answer:
The total value of the given expression is 12.
Step-by-step explanation:
(-2 + 1)² + 5(12 ÷ 3) - 9
First, do the expressions within the parentheses.
(-1)² + 5(4) - 9
Next, simplify the exponents.
1 + 5(4) - 9
Next, multiply 5 by 4.
1 + 20 - 9
Add 1 and 20 together.
21 - 9
Subtract 9 from 21.
12
So, the final answer to this equation is 12.
The simplification form of the number expression (-2 + 1)² + 5(12 : 3) - 9 is 12; the answer is 12.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
The number expression is:
= (-2 + 1)² + 5(12 : 3) - 9
The ratio can be described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
= (-1)² + 5(12/3) - 9
= 1 + 5(4) - 9
= 1 + 20 - 9
= 21 - 9
= 12
Thus, the simplification form of the number expression (-2 + 1)² + 5(12 : 3) - 9 is 12; the answer is 12.
Learn more about the arithmetic operation here:
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Miss siegel’s class has 18 girls and 12 boys. What is the ratio of girls to boys?
Answer:
3:2
Step-by-step explanation:
girls: boys
18 : 12
Divide each side by 6
18/6 : 12/6
3 : 2
Answer: 18 girls to 12 boys
Step-by-step explanation: We can write a ratio using the word "to", using a colon, or using a fraction bar.
Let's write the ratio using the word "to."
Since there are 18 girls and 12 boys,
we can write this as 18 girls to 12 boys.
So this would be our answer.
However, this can be reduced to 3 girls to 4 boys.
The graph of g(x) is the result of translating the graph of f(x) = 3* six units to the right. What is the equation
g(x) = 3*-6
g(x) = 3*+6
g(x) = 3X-6
g(x) = 3* + 6
Answer:
Step-by-step explanation:
Pls help me with my question roo
The graph of g(x) is g(x) = [tex]3^{x-6}[/tex]
What is translation?A translation is a rigid transformation because it does not change the size or shape of the original figure. Translations are the simplest transformation in geometry and are often the first step in performing other transformations on a figure or shape.
Given that, graph of g(x) is the result of translating the graph of f(x) = 3ˣ, 6 units to the right.
Translation the graph of the function y = f(x) a units to the right gives the function y = f(x-a)
So, here, f(x) = 3ˣ will be transformed to g(x) = [tex]3^{x-6}[/tex]
Hence, the graph of g(x) is g(x) = [tex]3^{x-6}[/tex]
Learn more about translation, click;
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Answer: 3/16 gallons of water
Step-by-step explanation:
With any fraction, if you multiply it by its reciprocal, it equals 1. (ex: 3/4*4/3=1, 1/2*2/1=1, 71/256*256/71=1) Thus, 2/3*3/2=1. Because 2/3 of the bin=1/8 gallon, simply multiply both sides of the equation by 3/2 and you will get that 1 bin of water=0.1875 gallons of water, or 3/16 gallons of water.
Hope it helps <3
Answer:
3/16
Step-by-step explanation:
Sara noticed that 1/8 gallons of water fills 2/3 of the water bin
We need to khow how many gallons fill the whole bin
we can write :
1/8⇒2/3x(the missing value)⇒ 1 x =( 1/8 )/ (2/3) = 3/16Express ⁴/100 as a decimal fraction
Answer:
To do that you must divide 4 by 100
Step-by-step explanation:
4 divided by 100 is 0.04
Answer:
4/100
Run two decimal places forward
that's
0.04
Hope this helps you
When an object is removed from a furnace and placed in an environment with a constant temperature of 70°F, its core temperature is 1500°F. One hour after it is removed, the core temperature is 1170°F. (a) Write an equation for the core temperature y of the object t hours after it is removed from the furnace. (Round your coefficients to four decimal places.)
Answer:45 I think
Step-by-step explanation: