Answer: The z-score = 2.46
Step-by-step explanation:
Given: sample size : n= 10
Population mean : [tex]\mu= 29056[/tex]
population standard deviation : [tex]\sigma= 3339[/tex]
Sample mean : [tex]\overline{x} = 31650[/tex]
Formula to calculate z :
[tex]z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]
Substitute all values, we get
[tex]z=\dfrac{31650-29056}{\dfrac{3339}{\sqrt{10}}}\\\\=\dfrac{2594}{\dfrac{3339}{3.16227766}}\\\\=\dfrac{2594}{3339}\times3.16227766\approx2.46[/tex]
Hence, the z-score = 2.46
Which of the tables represents a function?
a. Table A
b. Table B
c. Table C
d. Table D
Answer:
the answer is D (U,U).-
Step-by-step explanation:
Help I’ll thank you a lot :)
For the right triangle shown, use the trig functions to find the value of x. Round your answer to the nearest tenth.
1. 9.1
2. 8.2
3. 9.4
4. 7
Answer:
[tex]\boxed{\boxed {\sf 3. \ 9.4}}[/tex]
Step-by-step explanation:
First, recall the three basic right triangle trigonometry ratios.
sin(θ)=opposite/hypotenuse cos(θ)= adjacent/hypotenuse tan(θ)= opposite/adjacentTheta (θ) represents the angle. The angle (other than the right angle) is 70 degrees.
We are also given 2 sides: 10 and x.
10 is the hypotenuse, because it is opposite the right angle. x is opposite the 70 degree angle.Since we have the opposite and hypotenuse, we must use sine.
[tex]sin (\Theta)= \frac{opposite}{hypotenuse}}[/tex]
The angle is 70 degrees, the opposite is x, and the hypotenuse is 10.
[tex]sin(70)=\frac{x}{10}[/tex]
We are solving for x. We must isolate x on one side of the equation.
Currently, x is being divided by 10. To "undo" the division, we must perform the inverse operation, which is multiplication. Multiply both sides of the equation by 10.
[tex]10*sin(70)=\frac{x}{10}*10[/tex]
[tex]10*sin(70)=x[/tex]
[tex]10*0.939692621=x[/tex]
[tex]9.39692621=x[/tex]
Round to the nearest tenth. The 9 in the hundredth place tells us to round the 3 up to a 4.
[tex]9.4 \approx x[/tex]
x is about 9.4
Answer:
First, recall the three basic right triangle trigonometry ratios.sin(θ)=opposite/hypotenusecos(θ)= adjacent/hypotenusetan(θ)= opposite/adjacentTheta (θ) represents the angle. The angle (other than the right angle) is 70 degrees.We are also given 2 sides: 10 and x.10 is the hypotenuse, because it is opposite the right angle.x is opposite the 70 degree angle.Since we have the opposite and hypotenuse, we must use sine.sin (\Theta)= \frac{opposite}{hypotenuse}}The angle is 70 degrees, the opposite is x, and the hypotenuse is 10.sin(70)=\frac{x}{10}sin(70)= 10x
We are solving for x. We must isolate x on one side of the equation.Currently, x is being divided by 10. To "undo" the division, we must perform the inverse operation, which is multiplication. Multiply both sides of the equation by 10.10*sin(70)=\frac{x}{10}*1010∗sin(70)= 10x
∗1010*sin(70)=x10∗sin(70)=x10*0.939692621=x10∗0.939692621=x9.39692621=x9.39692621=xRound to the nearest tenth. The 9 in the hundredth place tells us to round the 3 up to a 4.9.4 \approx x9.4≈xx is about 9.4
A construction company bought 673.718 kilograms of gravel and 140.91 kilograms of sand. How many kilograms of material did the company buy in all?
Answer:
814.628 kg
Step-by-step explanation:
We are finding the total number of kilograms, so we must add it all together.
673.718 + 140.91 = 814.628 kg in all
Which describes the missing number plotted on the number line?
A. the opposite of -4
B. the opposite of 4
C. the absolute value of -4
D. the absolute value of 4
When two variables are in a proportional relationship, which of the
following is true about their values. *
their sums are a constant
their differences are a constant
their products are a constant
their quotients are a constant
Submit
Answer:
Their quotients are a constant
Step-by-step explanation:
Required
Quotient of two variable
Let the variables be x and y
The quotient of x and y in this case is their constant of variation.
Take for instance:
[tex](x_1,y_1) = (2,4)[/tex]
[tex](x_2,y_2) = (4,8)[/tex]
[tex](x_3,y_3) = (8,16)[/tex]
Their quotient is calculated as follows:
[tex]Quotient = \frac{y}{x}[/tex]
[tex](x_1,y_1) = (2,4)[/tex]
[tex]Quotient = \frac{4}{2} = 2[/tex]
[tex](x_2,y_2) = (4,8)[/tex]
[tex]Quotient = \frac{8}{4} = 2[/tex]
[tex](x_3,y_3) = (8,16)[/tex]
[tex]Quotient = \frac{16}{8} = 2[/tex]
Notice that the quotient has a constant value of 2.
However, the sum, difference or products will give a different set of values entirely.
Hence, option (d) is correct
can u pls help me with this question
Answer: a or d
Step-by-step explanation:
The USDA conducted tests for salmonella in produce grown in California. In an independent sample of 252 cultures obtained from water used to irrigate the region, 18 tested positive for salmonella. In an independent sample of 476 cultures obtained from the region’s wildlife (e.g., birds), 20 tested positive for salmonella. Is this sufficient evidence for the USDA to conclude that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife? Assume the significance level of 0.01.
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife
Step-by-step explanation:
From the question we are told that
The first sample size is [tex]n_1 = 252[/tex]
The number that tested positive is [tex]k_1 = 18[/tex]
The second sample size is [tex]n_2 = 476[/tex]
The number that tested positive is [tex]k_2 = 20[/tex]
The level of significance is [tex]\alpha = 0.01[/tex]
Generally the first sample proportion is mathematically represented as
[tex]\^ p _1 = \frac{k_1 }{ n_1 }[/tex]
=> [tex]\^ p _1 = \frac{18 }{ 252 }[/tex]
=> [tex]\^ p _1 = 0.071[/tex]
Generally the second sample proportion is mathematically represented as
[tex]\^ p _2 = \frac{k_2 }{ n_2 }[/tex]
=> [tex]\^ p _2 = \frac{20 }{ 476}[/tex]
=> [tex]\^ p _2 = 0.042[/tex]
The null hypothesis is [tex]H_o : p_1 - p_2 = 0[/tex]
The alternative hypothesis is [tex]H_a : p_1 - p_2 \ne 0[/tex]
Generally the test statistics is mathematically represented
[tex]z = \frac{ \^ p_1 - \^ p_2 - ( p_ 1 - p_2 )}{ \sqrt{\frac{\^ p_1 (1-\^ p_1)}{ n_1 } + \frac{\^ p_2 (1-\^ p_2)}{ n_2 } } }[/tex]
=> [tex]z = \frac{ 0.071 - 0.042 - 0 }{ \sqrt{\frac{0.071 (1-0.071)}{ 252 } + \frac{0.042 (1-\^ 0.042)}{ 476 } } }[/tex]
=> [tex]z = 1.56[/tex]
From the z table the area under the normal curve to the right corresponding to 1.56 is
[tex]P(Z > 1.56 ) =0.05938[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(Z > 1.56 )[/tex]
=> [tex]p-value = 2 * 0.05938[/tex]
=> [tex]p-value = 0.1188[/tex]
From the value obtained we see that [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife
Chose the correct description of the graph of the inequality: -2x > 8
A number line with an open circle on -4, shaded to the left.
A number line with a closed circle on -4, shaded to the left.
A number line with a closed circle on -4, shaded to the right.
A number line with an open circle on -4, shaded to the right.
Here's a screenshot of the answer below:
Find the height of a right circular cone whose radius is 5 cm and volume is 100 pie cm cubed
Answer:
h = 3.82
I have attached picture
What are the two methods for finding the constant of proportionality when given a table
Answer:
If the ratio of one variable to the other is constant, then the two variables have a proportional relationship, If x and y have a proportional relationship, the constant of proportionality is the ratio of y to x.
Step-by-step explanation:
I give 20! Find the surface area. And without explanation please, I don’t have enough time.
Answer:
816 cm²
Step-by-step explanation:
Surface area of the composite figure = (surface area of the larger rectangular prism + surface area of the smaller rectangular prism) - area of the side of the smaller rectangular prism that is joined to the bigger prism.
✔️Surface area of the larger rectangular prism:
Area = L*W*H = 20*5*6 = 600 cm²
✔️surface area of the smaller rectangular prism:
Area = L*W*H = 12*4*6 = 288 cm²
✔️area of the side of the smaller rectangular prism that is joined to the bigger prism.
Area = L*W = 12*6 = 72 cm²
Surface area of the composite = (600 + 288) - 72 = 888 - 72 = 816 cm².
what is 696 39/100 into a decimal
Answer:
696.39
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Answer: 696 39/100 into a decimal is 696.39
Solve: 19x2 +
12x2 +5x-4 - 122x+6
O x= 2
x= -5
x = 2, x= -5
no solution
Answer:
x = 2, x = -5 (The third option)
Step-by-step explanation:
Create equivalent expressions in the equation that all have equal bases, then solve for x
Which equation represents the line passing through the points (4, −1) and (1, 0)?
Select one:
A. x + 3y = 1
B. 3x + y = 1
C. x − 3y = −1
D. −x + 3y = 1
Is this wrong?
Factorize x^2+3x+2
x^2+2x+x+2
x(x+2)+x+2
(x+2)(x+2)
if wrong please correct.
Help!
Step-by-step explanation:
The last step is a little wrong. Lemme show you:
x(x + 2) + (x + 2)
Imagine there is an invisible '1' infront of (x + 2) like this:
= x(x + 2) + 1(x + 2)
Now we can combine the like terms together:
= (x + 1)(x + 2)
This is the correct factorization.
Sheila can pay her hotel bill in Euros (€) or Pounds (£).
The bill was €425 or £365 when the exchange rate was £1 = €1.14.
In which currency was the bill cheaper?
Show all your working.
Answer:
£365 is cheaper than €425.
Step-by-step explanation:
We want to convert both prices to the same currency. It is easier to convert pounds to euros, as the exchange rate uses £1.
€425 or £365
£365 = €(365 * 1.14)
£365 = €416.10
€425 > €416.10
£365 is cheaper than €425.
Someone help me with this, please! i’ll mark u as brainlist
Answer:
x = 8
Step-by-step explanation:
2x + 5 = 21
-5 -5
2x = 16
2x/2 = 16/2 ( divided 2 on both sides)
you get x= 8
to check your work, replace x with 8 in the equation
2 x 8 + 5 = 21 ( don't forget PEMDAS!!)
16 + 5 = 21
What is the length of x?
Answer:
25
Step-by-step explanation:
a2+b2=c2
3^2+4^2=c^2
9+16=25
25^2=625
Sqrt of 625 = 25
Answer:
x = 5
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 4² + 3² = 16 + 9 = 25 ( take the square root of both sides )
x = [tex]\sqrt{25}[/tex] = 5
Use variables to write an equation that represents the relationships between the time x and the distance y.
An eagle flies 40 miles per hour.
An equation that represents the relationships is y = ?
An equation that represents the relationships between the time x and the distance y is y = 40x.
What is linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
Given:
An eagle flies 40 miles per hour.
An equation that represents the relationships between the time x and the distance y:
Here, x and y are the variables.
So, the equation,
y = 40x.
Therefore, y = 40x is the required equation.
To learn more about the linear equation;
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Arthemeatic sequence
Answer:
14
Step-by-step explanation:
its going down by 11
Please help me 20 points
Answer:
sureeeeeeeeeeeeeeeeee
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
it's actually 10 points
How many 1/3 yard lengths are in 1 yard
Answer:
3
Step-by-step explanation:
1/3 yard lengths times 3 equals 3 (or 1 yard).
There are 3 numbers of 1/3 yard lengths are in 1 yard.
What is the arithmetic operator?A summation, which is the result of adding two or more numbers or quantities, is also known as a sum.
A mathematical operation known as subtraction involves two values that will be subtracted to produce a new value.
Multiplication is the general procedure in mathematics in which we multiply two or more numbers to each other to find a new multiplied number.
Division is divide of any two numbers so it will give a new divided value for example 4/2 will gives us 2.
1 yard = 1/3 yard + 1/3 yard + 1/3 yard
The lowest common multiple of the right hand will be 3
So,
1 yard = (1 + 1 + 1)/3 yard
1 yard = 3/3 yards
1 yard = 1 yard
Hence in 1 yard, there is a total of 3 numbers of 1/3 yards.
To learn more about the arithmetic operator
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for what value of 0 is cos^-1(sqrt2/2)=0?
The value of theta is pi/4
[tex]\arccos \left(\frac{\sqrt{2}}{2}\right)= \theta[/tex]
here the value of the,
What is the value of the arccos(sqrt2/2)?The value of the arccos(sqrt2/2) is,
[tex]\arccos \left(\frac{\sqrt{2}}{2}\right)=\frac{\pi }{4}[/tex]
Therefore the value of theta is pi/4
So the second option is correct.
To learn more about the trigonometric function visit:
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Andrea ordered a computer
on the Internet. The
computer cost $1,399 plus
6.5% sales tax. What was
the total amount Andrea paid
for her computer?
Which statement best represents the equation below?
10+(-10)=0
1. A dog runs 10 feet to the left and then runs another 10 feet to the left .
2. A car goes 10 feet and then reversed 10 feet .
3. A bottle contained 10 litters of juice after 10 liters spilled on the floor .
4. A girl earns $10 in 10 hours .
Answers ASAP!!!!!
Answer:
the answer is 2 because the car goes forward 10 feet then it goes back to the same amount which puts it at its start
A store manager purchases a DVD for $15. He marks it up to $21.75 in order to make a profit. What is the percent of increase?
Expression A: 2x+ 2 Expression B: 1 + 2x + 1 Which statement can be used to show that these expressions are equivalent? A. Each expression includes the term 2x. B. 2x + 2 can be rewritten as 1 + 2x + 1 using the distributive property C. Both expressions involve addition D. The expressions name the same number regardless of the value of x.
Answer:
C. Both expressions involves addition.
Step-by-step explanation:
Solve kx - 3 = 5 for x.
A. x = 8 - k
B. x = 8k
C. x=2/k
D. x= 8/k
Answer: D
Step-by-step explanation:
I just got it wrong and D was the answer
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1 On average, Shawnte drinks 2 of a 6-ounce glass of water in hour. How much water 3 does she drink in an hour?
Answer:
3/4 of a 6-ounce glass
Step-by-step explanation:
Given time = 2/3 of hour
As hour = 60 min
= 120/3
= 40 mins
So,
40 mins: water in take is 3 ounce
1 minute: water in take is 3/40
60 mins: water in take is (3/40) x 60 = 4.5 ounce