Jeremy needs to buy three pieces of wood to make a triangular frame. If the wood is cut in 1 l- foot increments, which set of wood length will form a triangle?
What is the length of side x? If necessary, round your answer to two decimal places. 19 12
Answer:
D. 14.73
Step-by-step explanation:
According to Pythagoras,
19^2 = 12^2 + x^2
x^2 = 19^2 - 12^2
x^2 = 361 - 144
x^2 = 217
x = [tex]\sqrt{217}[/tex]
x = 14.73
Simplify the expression:
7r–3r+9r
Answer:
13r
Step-by-step explanation:
-First, collect like terms by calculating the sum or difference of their coefficients.
(7-3+9)r
-Then, calculate the sum or difference and you get..
13r.
Hope this helps! :)
Answer:
13r
I think it is correct but just try making sure oater sorr if I a wrong though
12th grade stat and prob !!!!
Answer:
The 1st one .
Step-by-step explanation:
Find The size of angle XYZ Give your answer to 1 decimal place
Angle XY 6cm
Angle ZY 15cm
Answer: [tex]3\sqrt{21}[/tex]
Step-by-step explanation:
[tex](xy)^{2}+(xz)^2=(yz)^2\\so, (6)^{2}+(xz)^2=15^2 \\(xz)^2=225-36\\xy=3\sqrt{21}[/tex]
Find the equation of the line that contains the point
P(−4, −1)
and is perpendicular to the graph of
y = − 4/5x − 4.
Answer:
Step-by-step explanation:
y = − 4/5x − 4.
y = 5/4 x - 4
-1 = 5/4(-4) + b
-1 = -5 + b
b = 4
y = 5/4 x + 4
Staples, a chain of large office supply stores, sells a line of desktop and laptop computers. Company executives want to know whether the demands for these two types of computers are dependent on one another. Each day's demand for each type of computers is categorized as Low, Medium-Low, Medium-High, or High. The data shown in the table below is based on 205 days of operation. Based on these data, can ? Test at the 5% level of significance.
low med-low med-high high
low 4 15 14 3 36
laptops med-low 6 18 18 23 65
med-high 13 17 10 17 57
high 7 15 15 10 47
30 65 57 53 205
Required:
a. What is the test value for this hypothesis test?
b. What is the conclusion for this hypothesis test?
Answer:
As the calculated χ² = 1.23 is less than the critical region χ²≥ χ²(0.05,9)= 16.92 ,Staples can conclude that demands for these two types of computers are independent at the 0.05 level of significance.
Step-by-step explanation:
As we have to test the independence of the two categories the chi square of independence test is applied.
Let the null and alternate hypotheses be
H0 :The demand for each type of computers is independent
against the claim
Ha: The demand for each type of computers is not independent i.e they are associated.
The significance level alpha is chosen to be 0.05
The critical region for alpha =0.05 and (4-1)(4-1) = 3*3 =9 d.f is
χ²≥ χ²(0.05,9)= 16.92
Actual Data
low med-low med-high high Total
low 4 15 14 3 36
med-low 6 18 18 23 65
med-high 13 17 10 17 57
high 7 15 15 10 47
Total 30 65 57 53 205
Expected Frequencies
low- low = 30*36/205= 5.27
low- med.low = 65*36/205 = 11.41
low- medium high = 57*36/205= 10.009
low- high = 53*36/205 =9.31
medium low- low = 30*65/205 = 9.51
medium low- med.low = 65*65/205= 20.61
medium low- medium high = 57*65/205= 18.073
medium low- high = 53*65/205= 16.80
medium high- low = 30*57/205= 8.34
medium high- med.low = 65*57/205= 18.07
medium high- medium high = 57*57/205= 15.85
medium high- high = 53*57/205= 14.74
high- low = 30*53/205= 7.76
high- med.low = 65*53/205= 16.80
high- medium high = 57*53/205= 14.74
high- high = 53*53/205= 13.70
Summarizing in a table
Expected Frequencies
low med-low med-high high Total
low 5.27 11.41 10.009 9.31 35.999
med-low 9.51 20.61 18.073 16.8 64.993
med-high 8.34 18.07 15.85 14.74 57
high 7.76 16.8 14.74 13.7 53
Total 30.88 66.89 58.672 54.55 210.992
Using Excel
The Chi Square Values are
0.062823
0.270857
0.159572
0.735995791
1.229247532
As the calculated χ² = 1.23 is less than the critical region χ²≥ χ²(0.05,9)= 16.92 ,Staples can conclude that demands for these two types of computers are independent at the 0.05 level of significance,
A third-grade class is using plaster of Paris to make impressions of their hands. Each student needs 12 ounces of plaster to make an impression. There are a total of 20 students in the class. How many pounds of plaster will the teacher need for the activity?
Answer:
15 pounds of plaster
Step-by-step explanation:
First, convert ounces to pounds.
In 1 pound, there are 16 ounces. Create a proportion to convert 12 ounces to pounds.
[tex]\frac{1}{16}[/tex] = [tex]\frac{x}{12}[/tex]
Cross multiply and solve for x:
16x = 12
x = 0.75
So, each student will need 0.75 pounds of plaster. Multiply this by 20 to find the total amount the teacher will need:
20(0.75)
= 15
So, the teacher will need 15 pounds of plaster
Answer:
15 pounds
Step-by-step explanation:
Unit 5 Geometry
i Betty's bedroom is 10; feet by 12 feet,
How much carpet does she need to buy
to cover the entire floor with no carpet
left over?
Answer:
B) 126 square feet
Step-by-step explanation:
10.5 x 12 = 126
(area)
The length of a rectangle is 7.5 inches and the width is 2.75 inches. What is the ratio, using whole numbers, of the length to the width
30:11
30:22
11:15
15:11
Answer:
30 : 11
Step-by-step explanation:
Length : Width
7.50 : 2. 75
750 : 275
30 x 25 : 11 x 25
30 : 11
A prescription requires 10 mg of tablet. A nurse read the incorrect unit of measurement and gave a patient .1 g of the tablet. Is the patient at risk and she should inform the doctor immediately?
A nurse read the incorrect unit of measurement and gave a patient 100 mg of the tablet.
The patient at risk and she should inform the doctor immediately.
What is a unitary method?Unitary method is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Given
Prescription requires 10 mg of tablet.
A nurse read the incorrect unit of measurement and gave a patient .1 g of the tablet.
We know
1 g = 1000 mg
0.1 g = [tex]x[/tex]
⇒ [tex]x[/tex] × 1 = 0.1 × 1000
⇒ [tex]x[/tex] = 100 mg
10 mg < 100 mg
By using unitary method we can say that
A nurse read the incorrect unit of measurement and gave a patient 100 mg of the tablet.
The patient at risk and she should inform the doctor immediately.
Learn more about unitary method here
https://brainly.com/question/22056199
#SPJ2
2x - 5y + 3 = 6x - 3y + 7. If x = 4, what is the value of y?
Answer:
y = - 10
Step-by-step explanation:
2x - 5y + 3 = 6x - 3y + 7
2(4) - 5y + 3 = 6(4) - 3y + 7
8 - 5y + 3 = 24 - 3y + 7
11 - 5y = 31 - 3y
11 - 11 - 5y = 31 - 11 - 3y
- 5y = 20 - 3y
- 5y + 3y = 20 - 3y + 3y
- 2y = 20
- 2y ÷ - 2 = 20 ÷ - 2
y = - 10
how do you find volume of sphere, cylinder, cone ? ... explaining please
Answer:
hmmmm
Step-by-step explanation:
Cone
The volume of a cone is linked to the volume of a cylinder. A cone is one third of the volume of a cylinder. The volume of a cone is ¹/₃ × π × r² × l. To calculate the volume we multiply these values together. The answer will be written in units³.
Sphere
The volume of a sphere is ⁴/₃ × π × r³. To calculate the volume we multiply these values together. The answer will be written in units³.
Cylinder
The volume of a cylinder is π × r² × l (r is the radius of the circle and l is the length of the cylinder). To calculate the volume we multiply these values together. The answer will be written in units³. It is more accurate to use π = 3.142 or the π button on a calculator.
A cone is a 3D shape with 2 faces and one edge
A sphere is a 3D shape. It has one continuous face and no edges
A cylinder is a type of prism. It has 3 faces and 2 edges
website I used: https://www.bbc.co.uk/bitesize/topics/zrf3cdm/articles/ztqsdxs
I hope this helped!
Solve the inequality:
4 +5t < 19
Answer:
t < 3 is the answer
Step-by-step explanation:
source: https://www.tiger-algebra.com/drill/4_5t%3C19/
^ (it has an explanation too)
Find the missing length indicated
Answer:
The missing length is 80 degrees.
Step-by-step explanation:
Every triangle is equal to 180 degrees. If you add 64 and 36, you get 100. 180-100 is equal to 80, therefor x is equal to 80.
Find the measure of angle 5 if the measure of angle 7 is 115 degrees
Answer:
115 degrees (vertically opposite angles are equal)
Step-by-step explanation:
1. Angles measuring 8x – 3 and 7x + 18 are supplementary. Find the measure of each angle. (5 points)
Answer:
85º and 95º
Step-by-step explanation:
supplementary angle total 180
(8x – 3) + (7x + 18) = 180
Combine like terms
15x + 15 = 180
15x = 165
x = 11
---------------------
8x – 3
8(11) - 3
88 - 3
85º
7x + 18
7(11) + 18
77 + 18
95º
Least common multiples of two- digit numbers. I need two examples. SHOW WORK
9514 1404 393
Answer:
LCM(21, 51) = 357LCM(42, 90) = 630Step-by-step explanation:
For a pair of numbers, I find it convenient to think in terms of factors unique to the number, and factors shared with the other number.
Consider the numbers 21 and 51, for example.
21 = 3·7
51 = 3·17
The factor 3 is shared by both numbers. The factors 7 and 17 are unique to one number or the other.
If we group these factors like this ...
(factors unique to 1 [ shared factors ) factors unique to 2]
= (7 [3 ) 17]
The numbers in ( ) parentheses are the factors of 21, and the numbers in [ ] brackets are the factors of 51.
The LCM (least common multiple) is the product of the factors in those brackets:
LCM(21, 51) = 7 × 3 × 17 = 357
__
The unique factors of the numbers don't have to be prime (as in the above example); they just cannot be shared. Here's another example for the numbers 42 and 90
(7 [ 3·2 ) 3·5 ] = (7 [ 6 ) 15] . . . . factors of (42) and [90]
Then the LCM is ...
LCM(42, 90) = 7 × 6 × 15 = 630
_____
Additional comment
What we have called "shared factors" here is the same as the "greatest common divisor"(GCD) or "greatest common factor" (GCF).
If we divide our little diagram so it shows the product of the two numbers:
(42)[90] = (7×6)·[6×15]
we can see that the LCM is the quotient of the product and the GCD.
LCM(A, B) = A·B/GCD(A, B)
This is an occasionally handy relationship, as it is not difficult to find the GCD of a pair of numbers using Euclid's algorithm.
Explain why the equation is not linear.
5/x - y = 1
A. x Should be an exponent.
B. The x variable appears in the denominator.
C. The coefficient of both variables must be equal.
D. There should be an exponent of 2 on either x or y.
Answer:
B. The x variable appears in the denominator.
Step-by-step explanation:
Given
[tex]\frac{5}{x} - y = 1[/tex]
Required
What makes it not linear
First, make y the subject
[tex]y = \frac{5}{x}+1[/tex]
A linear equation is represented as:
[tex]y = mx + b[/tex]
Notice that the exponent of x in the general form is: 1
This means that x has to appear as a numerator
In [tex]y = \frac{5}{x}+1[/tex], the exponent of x is -1
This means that x has to appear as a denominator
Hence, (b) is true
Triangle ABC is shown below. What is the length of line segment AC? A o 7 og 2x 3X-7 o 14 o 18 B 4x - 10 С
A :7
B: 9
C: 14
D: 18
Answer:
No solution is possible from the given information
Step-by-step explanation:
Triangle ABC is NOT shown below
Without the triangle it's not possible to answer.
Add this up
(4k+1)+(3k+1)
Answer:
7k + 2
Step-by-step explanation:
(4k + 1) + (3k + 1) =
4k + 3k + 1 + 1 =
7k + 2
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
7k+2
Step-by-step explanation:
Find the z value to the right of the mean so that:________.
a. 54.78% of the area under the distribution curve lies to the left of it.
b. 69.85% of the area under the distribution curve lies to the left of it.
c. 88.10% of the area under the distribution curve lies to the left of it.
Answer:
a) z = 0.12
b) z = 0.52
c) z = 1.18
Step-by-step explanation:
The z values is the area under the curve lying to its left
a) Hence, P (Z<z) = 0.5478
Taking the value of z from the standard normal table, we get -
z = 0.12
b) P (Z<z) = 0.6985
Taking the value of z from the standard normal table, we get -
z = 0.52
c) P (Z<z) = 0.8810
Taking the value of z from the standard normal table, we get -
z = 1.18
Which system of inequalities is graphed?
Second part please help
Answer:
Step-by-step explanation:
NEED HELP ASAP!
find the volume of the cylinder
Answer:
V = 314.2 ft^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h r is the radius (5) and h is the height (4)
Using the pi button for pi
V = pi (5^2) (4)
V =314.1592654
Rounding to the nearest tenth
V = 314.2 ft^3
what triangle has the Definition A right triangle in which the legs are congruent.
9514 1404 393
Answer:
An isosceles right triangle
Step-by-step explanation:
Any triangle with a congruent pair of sides is an isosceles triangle. If the triangle is also a right triangle, it is ...
an isosceles right triangle
__
The sides will have the ratios 1 : 1 : √2, and the acute angles will be 45°.
to carry a bag of 50kg rice at the distance of 4km a porter charges rs75. how much does the porter charge at the same rate to carry a bag of 80kg rice to the distance of 10km
Step-by-step explanation:
This is your answer for the question
A garden table and a bench cost $948 combined. The garden table costs $48 more than the bench. What is the cost of the bench?
Answer:
$450
Step-by-step explanation:
We know that they cost 948 together and the table costs 48 more than the bench so we have:
2x+48=948. Solve this and we have
2x=900
x=450
The bench is 450 and the garden table is (450+48) 498!
help please these questions are kinda hard do i am giving 15 points
9=6y + 33 the answer is y=−4
the next one is x=10
Step-by-step explanation:
Answer:
hope it helped u :)
Step-by-step explanation:
[tex]9 + 6y = 33\\6y = 33 - 9\\6y = 24\\y = 4\\\\\\-4(2-1.2x) = 40\\-8 + 4.8x = 40\\4.8x = 48\\x = \frac{48}{4.8} = \frac{48 \times 10}{48} = 10[/tex]
Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)
Please help!! Solve for x. Assume that lines which appear to be diameters are actual diameters.
Answer:
A)-4
Step-by-step explanation:
180=120+x+64
x=180-120-64
x=-4
