Answer:
y = 6
Step-by-step explanation:
y varies directly with x
y = k*x
Where,
k = constant of variation
Find y when x = 2 and constant of variation,k =3
y = k*x
y = 3 * 2
y = 6
Check:
if y = 6 and x = 2, find k
y = k*x
6 = k*2
6 = 2k
k = 6/2
k = 3
An important problem in industry is shipment damage. A pottery producing company ships its product by truck and determines that it can meet its profit expectations if, on average, the number of damaged items per truckload is fewer than 11. A random sample of 19 departing truckloads is selected at the delivery point and the average number of damaged items per truckload is calculated to be 9.4 with a calculated sample of variance of 0.49. Select a 95% confidence interval for the true mean of damaged items.
Answer:
The 95% confidence interval for the mean is approximately;
(9.063, 9.737)
Step-by-step explanation:
The given parameters are;
The mean of the sample, [tex]\overline x[/tex] = 9.4
The sample variance, s² = 0.49
The sample size, n = 19
The confidence level = 95%
Therefore, we get;
[tex]CI=\bar{x}\pm t_{\alpha/2} \dfrac{s}{\sqrt{n}}[/tex]
The degrees of freedom, df = n - 1
∴ df = 19 - 1 = 18
From the t-table, the critical-t = 2.101
Therefore, we have;
[tex]CI=9.4\pm 2.101 \times \dfrac{\sqrt{0.49} }{\sqrt{19}}[/tex]
Therefore, we have;
9.4 - 2.101×√(0.49/19) < μ < 9.4 + 2.101×√(0.49/19)
9.0626 < μ < 9.737
∴ The 95% confidence interval for the mean ≈ (9.063, 9.737)
NUMBER THEORY The ratio of two less than a number to six more than that
number is 2 to 3. Which of the following numbers is it?
A8
B 18
C 22
D 24
Answer:
B 18.
Step-by-step explanation:
(n - 2) /(n + 6) = 2/3 Cross multiply:
2n + 12 = 3n - 6
18 = n.
Could someone help? please the deadline is in 20 min!!!
Answer:
7.$95 8. $112.50
Step-by-step explanation:
7.
50 divided by 100 is 0.5, then times by 90 is 45.
45 plus 50 is 95.
8.
$150/4=$37.50
$150-$37.50=$112.50
guys what does integer mean in mathematicians , plss help i kind of forgot✌
Answer:
Integer is a whole number; a number that is not a fraction.
Step-by-step explanation:
express the area of the entire rectangle.
Answer:
Step-by-step explanation:
find the amount of sap maple syrup producer would have cod from each tree if the total amount (5gallons) was redistributed equally among the trees
Answer: hi
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
hope is helps <3
Which sport has the smallest median height?
Answer:
baseball
Step-by-step explanation:
Answer:
baseball
Step-by-step explanation:
Look at the graph for baseball. Notice how the median, represented by the vertical line inside the box, is the one farthest to the left of center. This makes it the smallest median height (about 72.5 inches).
The exponential function), whose graph is given below, can be written as h(x) = a•b^x.
Complete the equation for h(x).
Answer:
Step-by-step explanation:
h(x)=a*b^x
it passes through (0,6) and (1,4)
6=a*b^0
6=a*1
a=6
h(x)=6*b^x
4=6*b^1
b=4/6=2/3
[tex]h(x)=6*(\frac{2}{3} )^x[/tex]
Gina randomly selected students at her school to ask them about their
favorite season. If there are 900 students at Gina's school, how many of
them would choose fall as their favorite season?
Answer:
252
Step-by-step explanation:
7/25=252/900
3. Julissa's rose garden is in the shape of a trapezoid with a height of 35 feet. The bases of
the garden measure 50 feet and 32 feet. What is the area of Julissa's rose garden? *
C. 1,435 square feet
A. 58.5 square feet
B: 1,360 square feet
D. 2,870 square feet
Answer:
Step-by-step explanation:
i dont nkoe
Which of the following binomials is a factor of 22 + 7 −9 ?
A. − 3
B. + 1
C. 2 − 3
D. 2 + 9
what are the coordinates of the vertex of the graph or table is it a maximum or minimum
Answer:
I'm pretty sure the answer is D.!
Triangle ABC is dilated using D as the center of dilation with a scale factor of 1/3
Answer:
The middle also 9 -8 = 1
Step-by-step explanation:
30 men can do a piece of work in 40 days . How long will it take to complete the work if 5 men are reduced? (Ans - 48 days ) Do step by step
Answer:
48 days
Step-by-step explanation:
Given that :
30 men can ado a piece of work in 40 days
Assume they work at the same rate, then we it means that ;
1 man will take (30 * 40) = 1200 days to finish the work
Reducing 5 men, means we now have (30 - 5) = 25 men
If ;
1 man takes 1200
25 men will take ;
1200 / 25
= 48 days
What is the unit rate from 1 1/4 cups of milk in 15 brownies
Answer:
12
Step-by-step explanation:
divide 15 by 1.25 because 1 1/4 in decimals is 1.25
5 pts
A 65 inch TV is 65 inches across the diagonal. If the length of
the TV is 57.1 inches wide, how tall is it?
Answer:
a number
Step-by-step explanation:
Write the equation of the graphed line.
Answer:
y = 1/4x+2
Step-by-step explanation:
y = mx+b where m is the slope and b is the y-intercept.
y = (-1/4)x+2
Jamal is x years old. His mother is 28 years older than Jamal. Jamal's uncle is two times older than Jamal's mother. Write and simplify an expression that represents Jamal's uncle age in years
Given: Jamal is x years old.
⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━
And, his mother is 28 years older than Jamal.
Then, age of Jamal's mother is = (x + 28)
⠀⠀⠀
Jamal's uncle is two times older than Jamal's mother.⠀⠀⠀
[tex]:\implies\sf Jamal's\: uncle\:age = (Jamal's mother age)\\\\\\ :\implies\sf Jamal's\: uncle\:age = 2(x + 28)\\\\\\ :\implies{\underline{\boxed{\pmb{\frak{\purple{Jamal's\: uncle\:age = 2x + 56}}}}}}\:\bigstar\\\\[/tex]
[tex]\therefore\:{\underline{\sf{Hence,\:the\:expression\:that\: represents\: Jamal's\: uncle \:age\:is\: {\pmb{2x + 36}}.}}}[/tex]
The box-and-whisker plot represents the heights (in meters) of the tallest buildings in Chicago.
a. What percent of the buildings are no taller than 345 meters?
About ____
percent of the buildings are no taller than 345 meters.
Answer:
75%
Step-by-step explanation:
The answer is 75% because each point/dot, represents 25% of the data. Below 345 meters are 3 points, therefore 3 * 25% = 75%.
Approximately 75% of the buildings are no taller than 345 meters for the box-and-whisker plot.
What is the box and whisker plot?A box and whisker plot (also known as a box plot) depicts a five-number summary of a set of data: lowest, lower quartile, median, upper quartile, and maximum.
The box-and-whisker plot represents the heights (in meters) of the tallest buildings in Chicago.
We can see that all three of the data points that are less than or equal to 345 meters are included in the lower half of the box-and-whisker plot, which represents the range from the minimum to the median height.
This means 3 × 25% = 75%.
So, we can estimate that approximately 50% of the buildings are no taller than 345 meters.
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Write the equation of the circle with a center of (-5, 3) and a radius of 4.
A
(x + 5)2 + (y - 3)2 = 4
B
(x - 5)2 + (y + 3)2 = 4
(X - 5)2 + (y + 3)2 = 16
D
(x + 5)2 + (y - 3)2 = 16
Answer:
C
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (- 5, 3 ) and r = 4 , then
(x - (- 5))² + (y - 3)² = 4² , that is
(x + 5)² + (y - 3)² = 16 → D
State the best term for the given figure in the diagram
1.) F
2.) FE
B
13.) HG
4.) DB
5.) C
6.) BE
7.) DB
8.) AG
Note: Be able to define and draw a picture all all terms used in Chapter 10
In questions 9-10, BC is a radius of OC and AB is a tangent to OC.
Find the value of x
9.)
10.)
96
100
32
Q
56
The points K and M are points of tangency. Find the value(s) of x
11.)
12.)
K
K
3x - 10
4x + 7
.L
17
7x - 8
M M
Page
1 / 5
- +
Answer:
i dont understand what the question means
Step-by-step explanation:
(1 point) A certain magical substance that is used to make solid magical spheres costs $800 per cubic foot. The power of a magical sphere depends on its surface area, and a magical sphere can be sold for $70 per square foot of surface area. If you are manufacturing such a sphere, what size should you make them to maximize your profit per sphere
Answer:
The answer is "[tex]r=0.175 \ ft[/tex]"
Step-by-step explanation:
using formula:
[tex]\to \text{profit = revenue-cost}[/tex]
[tex]\to revenue = 70 \times 4\pi r^2 = 280\pi r^2\\\\\to cost = 800 \times \frac{4}{3} \pi r^3 = \frac{3200}{3} \pi r^3[/tex]
so,
[tex]\to profit (p)= 280\pi r^2 - \frac{3200}{3} \pi r^3\\\\\text{max profit when}\\\\\to 560 \pi r-3200 \pi r^2=0[/tex]
[tex]\to \pi r(560 -3200r)=0\\\\ \to (560 -3200r)=0\\\\\to 3200r=560\\\\\to r=\frac{560}{3200}\\\\\to r=\frac{56}{320}\\\\\to r=\frac{7}{40}\\\\\to r=0.175 \ ft[/tex]
There are 240 calories in 5 ounces of a type of ice cream. How many calories are in 8 ounces of that ice cream?
Answer:
384 calories in 8 ounces of that ice cream
Step-by-step explanation:
240/5= 48
1 ounze of ice cream has 48 calories
48x8= 384
what are prime factors of 90
Answer:
2×3×3×5
Step-by-step explanation:
2×
[tex]{3}^{2} [/tex]
×5
Can somebody plz help answer these questions correctly (only if u done this before) thx :3
WILL MARK BRAINLIEST WHOEVER ANSWER THESE FIRST :DDD
Answer:
Shown Below
Step-by-step explanation:
WPT = 90
WPV = 30
VPT = 60
VPS = 90
RPS = 60
WPS = 120
QPS = 150
PLEASEE HELPPP!!! I APPRECIATE ITTTT
Answer:
this is about a 45 degree angle
Step-by-step explanation:
Look at the question below
Answer:
y=6x is the answer
Step-by-step explanation:
Answer: y=6x
Step-by-step explanation:
12= (6) 2
24=(6) 4
36=(6) 6
48= (6) 8
So 6 is the correct.
Match each shape with its corresponding formula for area.
1. the line which divides a figure into two congruent mirror images
rotational symmetry
2. property where a figure can be folded along a line to create two congruent mirror images
line symmetry
3. property where a figure can be rotated less than 360° and still look the same
line of symmetry
Answer:
1- line of symmetry
2- line symmetry
3- rotational symmetry
Step-by-step explanation:
im pretty sure because i just did this unit :]
Some rational numbers are negative? True or false.
By the way:Give a reason why it is true or false
Step-by-step explanation:
True
As long as the denominator isn't zero and can be expressed as a fraction with two non zero intergers., the number would be rational
The volume of the Hawk’s refrigerator is 30 × 68 × 28.5 cubic inches.
The volume of the Lopez’s refrigerator is (30 × 68 × 28.5) + 16 cubic inches.
Without doing any calculations, which statement describes how the volume of
the Hawk’s refrigerator compares to the Lopez’s refrigerator?
A.
The volume of the Hawk's refrigerator is 16 cubic inches greater than the volume of the Lopez's refrigerator.
B.
The volume of the Hawk's refrigerator is 16 times less than the volume of the Lopez's refrigerator.
C.
The volume of the Hawk's refrigerator is 16 times greater than the volume of the Lopez's refrigerator.
D.
The volume of the Hawk's refrigerator is 16 cubic inches less than the volume of the Lopez's refrigerator.
Answer:D
Step-by-step explanation:
The correct statement that describes how the volume of the Hawk's refrigerator compares to the Lopez's refrigerator is: Option D.
D. The volume of the Hawk's refrigerator is 16 cubic inches less than the volume of the Lopez's refrigerator.
From the given information, we get,
The volume of the Hawk's refrigerator is given as 30 × 68 × 28.5 cubic inches.
The volume of the Lopez's refrigerator is given as (30 × 68 × 28.5) + 16 cubic inches.
We can see that the volume of the Lopez's refrigerator is obtained by adding 16 cubic inches to the volume of the Hawk's refrigerator.
Since 16 cubic inches are being added to the Hawk's refrigerator to get the Lopez's refrigerator, the volume of the Hawk's refrigerator must be 16 cubic inches less than the volume of the Lopez's refrigerator.
So, option D, "The volume of the Hawk's refrigerator is 16 cubic inches less than the volume of the Lopez's refrigerator," is the correct statement.
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