Answer:
x = 7
x = 3
Step-by-step explanation:
(x - 5)² - 4 = 0
Take the (x - 5)² and foil it. By doing that, you're going to set them both against each other to multiply. The squared part means that (x - 5) is being multiplied by itself. Like so:
(x - 5) (x - 5)
Multiply the x by the x, the x by the -5, the -5 by x, and the -5 by -5.
The x times x would be x². The x times -5 would be -5x. The -5 times x would be -5x. And the -5 and -5 would be 25.
To put it in an equation: x² - 5x - 5x + 25 - 4
Simply the equation: x² - 10x + 21
Now that it's a quadratic equation, we can factor. Looking at the final term, the 21, we can find factors of 21 that add up to -10, which would be -7 and -3. They both multiply to a positive 21 and add up to a -10.
Taking this new information, we can split the equation up like so: (x -7), (x - 3)
Set both equations equal to 0.
So: x - 7 = 0
Add seven to both sides.
x = 7
x - 3 = 0
Add three to both sides
x = 3
Final Answer: x = 3, x = 7, both are real solutions
Which is most likely the correlation coefficient for the
set of data shown?
Answer:
0.872
Step-by-step explanation:
The regression fits the data well leavubgbiut just one of the points, this shows there is a strong relationship between the plotted variables. Also, we have to look at the direction of the regression line which will give us an idea of the slope, hence the type of correlation between the two variables (either positive or negative relationship). In this case the slope is positive and hence the correlation Coefficient will be positive as well. Hence we can say there is a strong positive relationship between the variable. The only option which depicts this association is 0.872
can someone help me please?
What is the volume, in cubic m, of a rectangular prism with a height of 17m, a width of 14m, and a length of 11m?
Answer:
The answer is 2618m
Answer:
2618
Step-by-step explanation:
Find x in the following right triangles please help!! :D will award brainliest <3
Step-by-step explanation:
x²=13²-5²
x²=169-25
x²=144
√x²=√144
x=12dm
x²=24²+10²
x²=576+100
x²=676
√x²=√676
x=26in
please mark brainliest
Determine The Length Of the diagonal in the rectangle below
Answer:
It would be 25.
Step-by-step explanation:
By knowing that opposite sides of a rectangle are congruent, you can start by making a right triangle, with 7 and 24 as the legs.
Next, employ Pythagorean Theorem (a^2+b^2=c^2) to get the diagonal.
7^2+24^2=c^2
49+576=c^2
625=c^2
25 = c
It would be 25.
Geometry help!! Find x and y.
Answer:D x=45° y=10.9√2
Step-by-step explanation:
In a right angle were two sides are equal, two remaining angles add up to 90. So it is 90/2 which is 45°
Y²=10.9²+10.9²
Y=15.41
Or y = 10.9√2
Please help this is due at 11/00 pm
Answer and Step-by-step explanation:
Each unit is equal to each other, and we know that both allowances together equates to 72, so if we divide the amount of units that there are, we can determine the amount per month.
There are 8 units in total.
72 divided by 8 = 9
Now, we do 9 times the amount each person has.
You = 5 * 9 = 45
Friend = 3 * 9 = 27
#teamtrees #PAW (Plant And Water)
easy math question good luck
Answer:
c/d
Step-by-step explanation:
pretty sure it's just circumfrence over diameter
c/d
Answer:
The value of pi is the ratio of the circumference of a circle to its diameter. So then, you can determine the value of pi by drawing a perfect circle
Step-by-step explanation:
Plzzz help me well mark brainliest if correct!!...
Answer:
c
Step-by-step explanation:
because I said so
Answer: C, Third grade girls
Step-by-step explanation:
The tallest bar graph indicates the most tickets sold, which is C
A triangular prism. The rectangular sides are 2 centimeters by 13 centimeters, 12 centimeters by 2 centimeters, and 5 centimeters by 2 centimeters. The 2 triangular sides have a base of 5 centimeters and height of 12 centimeters. Which equation could be used to find the surface area of the net of the triangular prism shown? SA = (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2) SA = (1/2) (5)(13) + (1/2) (5)(13) + (5)(2) + (13)(2) + (12)(2) SA = (1/2)(5)(12) + (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2) SA = (2)(5)(13) + (5)(2) + (13)(2) + (12)(2)
Answer:
(C)SA = (1/2)(5)(12) + (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2)
Step-by-step explanation:
egde
Answer:
C
Step-by-step explanation:
In ΔPQR, p = 95 inches, q = 64 inches and ∠R=53°. Find the area of ΔPQR, to the nearest square inch.
Answer:
2428
Step-by-step explanation:
What number goes into 12 20 and 16
Answer:
2
Step-by-step explanation:
WILL
GIVE BRAINLIST
C
C
C
C
C
Answer: September
Step-by-step explanation:
The bar for September is the highest above the horizontal axis.
A new centrifugal pump is being considered for an application involving the pumping of ammonia. The specification is that the flow rate be more than 4 gallons per minute (gpm). In an initial study, eight runs were made. The average flow rate was 6.4 gpm and the standard deviation was 1.9 gpm. If the mean flow rate is found to meet the specification, the pump will be put into service.
1. State the appropriate null and alternate hypotheses.
2. Find the P-value.
3. Should the pump be put into service? Explain.
Answer:
1.
The null hypothesis is [tex]H_0: \mu = 4[/tex]
The alternate hypothesis is [tex]H_1: \mu > 4[/tex]
2.
The p-value of the test is of 0.0045.
3.
The p-value of the test is low(< 0.01), which means that there is enough evidence that the flow rate is more than 4 gallons per minute (gpm) and thus, the pump should be put into service.
Step-by-step explanation:
A new centrifugal pump is being considered for an application involving the pumping of ammonia. The specification is that the flow rate be more than 4 gallons per minute (gpm).
At the null hypothesis, we test that the mean is 4, so:
[tex]H_0: \mu = 4[/tex]
At the alternate hypothesis, we test that the mean is more than 4, that is:
[tex]H_1: \mu > 4[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.
4 is tested at the null hypothesis:
This means that [tex]\mu = 4[/tex]
In an initial study, eight runs were made. The average flow rate was 6.4 gpm and the standard deviation was 1.9 gpm.
This means that [tex]n = 8, X = 6.4, s = 1.9[/tex]
Test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{6.4 - 4}{\frac{1.9}{\sqrt{8}}}[/tex]
[tex]t = 3.57[/tex]
P-value of the test:
The p-value of the test is the probability of finding a sample mean above 6.4, which is a right-tailed test with t = 3.57 and 8 - 1 = 7 degrees of freedom.
With the help of a calculator, the p-value of the test is of 0.0045.
3. Should the pump be put into service?
The p-value of the test is low(< 0.01), which means that there is enough evidence that the flow rate is more than 4 gallons per minute (gpm) and thus, the pump should be put into service.
Find the volume.
h = 10 cm
rea
144 cm
Answer:
I'm not sure but I think it could be 1440cm³
Step-by-step explanation:
have a great rest of ur day
URGENT HELPP!!!NO LINKS
Answer:
25 I believe
Step-by-step explanation:
think has 5 letters
only using it once ofc
5×5= 25
How many gallons of pure water should be added to 10 gallons of a solution containing 15% juice so that
the remaining solution contains 5% juice?
Fill in the table:
What is the amount of juice in the original solution? a =
What is the original amount of solution in gallons? b =
How much juice is added? c=
How much total solution is added? d =
Original
Added
New
Amount of juice
a
c
Total solution
b ь
d
DONE
Answer:
1.5 gallons of juice
a. 10 gallons
b. none
c. 10 gallons (all water)
hope its right!!! good luck
Step-by-step explanation:
Please help me with this question!:))
Answer:
6
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
the two lines mean absolute value. The absolute value of a number is just the number positive. For example the absolute value of -5 is 5 and the absolute value of 5 is 5. So on C, when you plug in -6, you get the absolute value of -6 which is 6. 6 is not greater than 6
if that makes sense :)
HELP! Will give branliest!!
Answer:
10y + 29 ≤ -23
Step-by-step explanation:
subtract 29 from each side to get:
10y ≤ -52
y ≤ -5.2
A woman has eight keys on a key ring, one of which fits the door she wants to unlock. Sherandomly selects a key and tries it. If it does not unlock the door, she randomly selects anotherkey from those remaining and tries to unlock the door with it. She continues in this manner untilthe door is unlocked. Let X be the number of keys she tries before unlocking the door, countingthe key that actually worked.
Required:
Find the expected number of keys she will try before she opens the door.
Answer:
The expected number of keys she will try before she opens the door is 4.5.
Step-by-step explanation:
A woman has eight keys on a key ring, one of which fits the door she wants to unlock.
Each of them is equally as likely to be the one to work, which means that this situation is represented by an uniform distribution with lower bound [tex]a = 1[/tex] and upper bound [tex]b = 8[/tex].
Find the expected number of keys she will try before she opens the door.
The expected value of the uniform distribution is given by:
[tex]E = \frac{a + b}{2}[/tex]
Considering [tex]a = 1, b = 8[/tex], as is the case in this exercise:
[tex]E = \frac{1 + 8}{2} = 4.5[/tex]
The expected number of keys she will try before she opens the door is 4.5.
Help find the volume of this equation
Always know the formula for volume prism because that shape is a prism.
Formula For PRISM: BH/2 x Height.
So then we are going to solve the triangle first... 7 x 22= 154/2= 77
Then multiply by the height which is 25.
77 x 25= 1,925.
So your answer should be 1,925 meters cubed. *Don't forget to write the measurement
*hope this helps
Answer:1925
Step-by-step explanation:
Give three solutions to the equation y = - 1/2x -2. Give your solutions as ordered pairs, using reduced fractions or integers for coordinates.
Answer:
To find solutions to an equation, we can choose any values for x, and then use the equation to find the value of y to make an ordered pair in the form (x,y). First, let's choose x = 1. y = 3(1) + 4 = 7 The ordered pair is (1,7) Let's choose x = 4. y = 3(4) + 4 = 16 The ordered pair is (4,16) Let's choose x = 11 y = 3(11) + 4 = 37 The ordered pair is (11,37) The three solutions we found are: (1,7) (4,16) (11,37) Note that we could choose any values for x that we like. In this case we chose x = 1, x = 4, and x = 11, but any values of x will work fine.
i hope this helps sorry if i am wrong
Step-by-step explanation:
the product of two numbers is 7623 if one number is 77 the other number is
Answer:
7623 divided by 77=99
99 x 77=7623
Step-by-step explanation:
The product of the two numbers = 7623
One of the number = 77
To find:-The other number.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{red}{Solution⤵}}}}}∘[/tex]
The other number is 99. ✅
Step-by-step explanation:Let the other number be [tex]x[/tex].
As per the condition,
[tex]x \times 77 = 7623 \\ ✒ \: x = \frac{7623}{77} \\ ✒ \: x = 99[/tex]
Hence, the two numbers are [tex]\sf\purple{77}[/tex] and [tex]\sf\pink{99}[/tex] respectively.
To verify:-
[tex]99 \times 77 = 7623 \\ ➪ \: 7623 = 7623[/tex]
➪ L. H. S = R. H. S.
Hence verified.
[tex]\large\colorbox{orange}{Happy\:learning.✌️}[/tex]
66,66,70,88.........?,236
Answer:
I am so confused I don't know how to answer this.
A gallon of gas costs $3.05 per gallon. Joey's car gets 35 miles per gallon on the highway and 27 miles per gallon in the city. Using the
highway, Joey drives at an average speed of 54 miles per hour, and it takes him 0.5 hours to get to work. The highway has one $1.25 toll.
Using a city street route, Joey drives at an average speed of 36 miles per hour, and it takes him 1 hour to get to work.
Which quantities would be used to determine the total cost for Joey to drive to work using the highway? Choose all that apply. A. 0.5 hours B. 1 hour C. $1.25 per car D. $3.05 per gallon E. 27 miles per gallon F. 35 miles per gallon G. 36 miles per hour H. 54 miles per hour
Answer:
The quantities that would be used to determine the total cost for Joey to derive to work using the highway are:
A. 0.5 hours
C. $1.25 per car
D. $3.05 per gallon
F. 35 miles per gallon
H. 54 miles per hour
Step-by-step explanation:
Cost of a gallon of gas = $3.05
Distance travelled per gallon on the highway = 35 miles
Distance travelled per gallon in the city = 27 miles
Joey's average speed using the highway = 54 miles per hour
Number of hours to get to work using the highway = 0.5 hours
Toll on the highway = $1.25
Joey's average speed using the city street route = 36 miles per hour
Number of hours to get to work using the city street route = 1 hour
Relevant data for highway driving total costs:
Cost of a gallon of gas = $3.05
Distance travelled per gallon on the highway = 35 miles
Joey's average speed using the highway = 54 miles per hour
Number of hours to get to work using the highway = 0.5 hours
Toll on the highway = $1.25
Total costs for using the highway = $1.25 + ($3.05/35 * 54 * 0.5) = $3.60
Answer:
A, B, D, F, H
Step-by-step explanation:
At which approximate x-value are these two equations equal
y = √1 - x^2
y = 2x - 1
9514 1404 393
Answer:
x = 0.8
Step-by-step explanation:
If you mean y = √(1 -x²), then the curves cross at x=0.8.
__
If you equate the y-expressions, then square both sides, you have ...
√(1-x²) = 2x-1
1 - x² = (2x -1)² = 4x² -4x +1
0 = 5x² -4x . . . . . subtract the left-side expression
x(5x -4) = 0 ⇒ x = 0, or x = 4/5
The x=0 solution is extraneous.
The two equations are equal at x = 4/5.
−3.5+2.5+(−0.25)+(−3.25)
Answer:
-4.5
Step-by-step explanation:
The area of a right triangle is 49 square inches. The base is
twice as long as the height. The formula for the area of a
triangle is A = 1/2 bh, where b is the base and h is the height.
How long is the base and how tall is the height?
Answer:
height: 7 in
base: 14 in
Step-by-step explanation:
Let the height of the triangle equal x. This means that the base can be represented by the expression 2x. Now we plug these values into the area formula for a triangle:
A = bh / 2
49 = x * 2x / 2
And simplify
49 = x^2
We can find the square root of both sides to get x = 7, so the height is 7 inches. Since the base is twice the height, it is 14 inches.
Answer:
[tex]h=7,\\b=14[/tex]
Step-by-step explanation:
Since the base is twice as long as the height, set up the following proportion:
[tex]b=2h[/tex].
The area of the a right triangle is equal to [tex]A=\frac{1}{2}bh[/tex], where [tex]b[/tex] is a base of the triangle and [tex]h[/tex] is the respective height.
To solve for height, set up the equation (substituing [tex]b=2h[/tex]:
[tex]\frac{1}{2}\cdot2h\cdot h=49,\\2h^2=98,\\h^2=49,\\h=\boxed{7}[/tex]
To solve for base, substitute [tex]h=7[/tex] in the proportion [tex]b=2h[/tex]:
[tex]b=2(7),\\b=\boxed{14}[/tex]
Annual starting salaries for college graduates with degrees in business administration are generally expected to be between 20000 and 35000 . Assume that a confidence interval estimate of the population mean annual starting salary is desired.
What is the planning value for the population standard deviation?
Answer:
The planning value for the population standard deviation is of 4330.
Step-by-step explanation:
Uniform probability distribution:
The uniform probability distribution has two bounds, a and b. The standard deviation is given by:
[tex]S = \sqrt{\frac{(b-a)^2}{12}}[/tex]
Annual starting salaries for college graduates with degrees in business administration are generally expected to be between 20000 and 35000.
Uniform in this interval, so [tex]a = 20000, b = 35000[/tex]
What is the planning value for the population standard deviation?
[tex]S = \sqrt{\frac{(35000 - 20000)^2}{12}} = 4330[/tex]
The planning value for the population standard deviation is of 4330.
Please hel p me. !!!!!!! I need the median.
In ascending order,
36, 43, 50, 51, 58, 59, 60, 69, 73
N=9
median (Q2)= N+1/2
or, Q2= 9+1/2
or, Q2= 10/2
= 5th item
Therefore, the median is 58.
I don't know if this is correct or not.