Answer:
48 ft³
Step-by-step explanation:
[tex]V=\frac{lwh}{3}[/tex]
6 · 6 · 4
144 ÷ 3
48
Answer:
48ft cubed
Step-by-step explanation:
Multiply the numbers then use cubed because your working with volume.
When Victoria goes bowling, her scores are normally distributed with a mean of 130 and a standard deviation of 11. What is the probability that the next game Victoria bowls, her score will be between 123 and 130, to the nearest thousandth?
Answer:
0.239 = 23.9% probability that the next game Victoria bowls, her score will be between 123 and 130
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 130 and a standard deviation of 11.
This means that [tex]\mu = 130, \sigma = 11[/tex]
What is the probability that the next game Victoria bowls, her score will be between 123 and 130?
This is the p-value of Z when X = 130 subtracted by the p-value of Z when X = 123. So
X = 130
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{130 - 130}{11}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a p-value of 0.5
X = 123
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{123 - 130}{11}[/tex]
[tex]Z = -0.64[/tex]
[tex]Z = -0.64[/tex] has a p-value of 0.2611
0.5 - 0.261 = 0.239
0.239 = 23.9% probability that the next game Victoria bowls, her score will be between 123 and 130
PLEASE HELP I NEED TO GRADUATE!!!!!!Drag each title to the correct location.
Match the mortgage types with their descriptions.
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
The ___________ of a numerical set of data is the middle number when the numbers are written in numerical order.
Answer:
median
Step-by-step explanation:
I need the answer. Pls∝∝∝∝
Answer: it is going to be (B)
Answer:
C.256
Step-by-step explanation:
2(lb+bh+hl) = SA
length = 12
width = 4
Height = 5
2( 48+60+20)
128 x 2 = 256
Find the area of the figure shown below and choose the appropriate result.
Answer:
B 14 cm
Step-by-step explanation:
First, rectangle equation formula is w x l which means 4 x 2 = 8 then triangle formula is b x h which base is 4 and height is 3 which gets 6. So 8 + 6 = 14.
Help PLZZ NO FILES PLZZZ
Answer:
B
Step-by-step explanation:
C is 31, so we add a negative to make it the opposite.
What is 5.8 written as a percentage?
A)
0.58%
B)
5.8%
o
58%
D)
580%
Answer:
D) 580%
Step-by-step explanation:
you move the decimal to the right twice.
5.8 ---> 580%
hope this helps :)
Given that P(B) = 0.4 and P(AB) = 0.25, what must the P(A and B) = ?
0.100
0.160
0.410
1.000
If 154 pounds is the lightest weight, then
pounds is the heaviest.
170
163
169
Answer:
169 Pounds
Step-by-step explanation:
...
PLEASE HELP WILL MARK BRAINLIEST
Which table represents a function
Answer:
A
Step-by-step explanation:
because it passes the vertical line test and also for every x, there is only one y
Sam the Hummingbird flies at a rate of 2 yards per minute, as modeled by the equation y = 2x. She
increases her rate by 2 yards per minute. Plot two ordered pairs showing the distances she will fly at 1
minutes and 2 minutes, respectively, at her new rate.
Sometimes she may move backwards.
Answer:
See attachment for plot
Step-by-step explanation:
Given
[tex]y =2x[/tex]
[tex]R =+2[/tex] --- increment in the rate
First, we need to model the new rate
A linear equation is:
[tex]y = mx + b[/tex]
Where
[tex]m = rate[/tex]
Compare [tex]y =2x[/tex] and [tex]y = mx + b[/tex]. we have:
[tex]m =2[/tex]
The above represents the previous rate.
The new rate:
[tex]R =+2[/tex]
Rewrite as:
[tex]R = m+2[/tex]
[tex]R = 2+2[/tex]
[tex]R = 4[/tex]
So, the model is:
[tex]y = Rx[/tex]
[tex]y = 4x[/tex]
The plot at 1 and 2 minutes
When [tex]x = 1[/tex]
[tex]y = 4x = 4 * 1 = 4[/tex]
When [tex]x = 2[/tex]
[tex]y = 4x = 4 * 2 = 8[/tex]
So, we have:
[tex](x_1,y_1) =(1,4)[/tex]
[tex](x_2,y_2) =(2,8)[/tex]
Whether she moves backwards or forward, the distance covered remains the same
See attachment for plot
24427 correct to the nearest 1000
Answer:
24427 correct to the nearest 1000? 24000.
Step-by-step explanation:
So 24000 is your answer.
3x[9-(4+2)divide by 2
Answer:
4.5 or 9/2 using bodmas ruke
PLZ HELP I SHALL GIVE BRAINLIESST
Answer:
610m^2
Step-by-step explanation:
break the polygon into two rectangles as shown in attachment
I have labeled the new length A
A = 50 - 18
A = 32 m
area of rectangle 1 = l x w
= 5 x 32
= 160m^2
area of rectangle 2 = l x w
= 18 x 25
= 450 m^
area of polygon = rectangle 1 + rectangle 2
= 160 + 450
= 610m^2
what is the equivlalent expression of 10 plus 10 plus 10
Answer:
10 + 10 + 10 = 10 x 3
= 30
What growth factor would be needed to provide 1/12th of 12% interest each month
1.01 is the growth factor that would be needed to provide 1/12th of 12% interest each month.
What are exponential growth and decay?A rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay. Over time, exponential functions monitor constant growth. Examples from the actual world include radioactive decay, compound interest, and bacterial proliferation.
Given, the growth factor would be needed to provide 1/12th of 12% interest each month
Remember the formulas:
Increasing: y = a (1 + r)ˣ
Decreasing: y = a(1 - r)ˣ
(1 ± r is the growth factor, while r is the growth rate)
In our case,
since it is an interest It will show the growth rate
Growth rate = 12% of 1/12
Growth rate = 1%
Growth rate = 0.01
Thus,
Growth factor = 1 + r
Growth factor = 1 + 0.01
Growth factor = 1.01
Therefore, The growth factor will be 1.01.
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What is the volume of a sphere with a radius of 10 inches? Round to the nearest hundredth.
What is the volume of a sphere with a radius of 7 feet? Round to the nearest hundredth.
6
What is the volume of the sphere with a diameter of 18 centimeters? Round to the nearest
hundredth
Answer:
5. 4186.67 in³
6. 1436.03 ft³
7. 3052.08 cm³
Step-by-step explanation:
5. Determination of the volume of the sphere.
Radius (r) = 10 in
Pi (π) = 3.14
Volume (V) =?
V = 4/3πr³
V = 4/3 × 3.14 × 10³
V = 4/3 × 3.14 × 1000
V = 4186.67 in³
6. Determination of the volume of the sphere.
Radius (r) = 7 ft
Pi (π) = 3.14
Volume (V) =?
V = 4/3πr³
V = 4/3 × 3.14 × 7³
V = 4/3 × 3.14 × 343
V = 1436.03 ft³
7. Determination of the volume of the sphere.
We'll begin by calculating the radius. This can be obtained as follow:
Diameter (d) = 18 cm
Radius (r) =?
r = d/2
r = 18/2
r = 9 cm
Finally, we shall determine the volume of the sphere. This can be obtained as follow:
Radius (r) = 9 cm
Pi (π) = 3.14
Volume (V) =?
V = 4/3πr³
V = 4/3 × 3.14 × 9³
V = 4/3 × 3.14 × 729
V = 3052.08 cm³
picture included-11 points
Answer:
Using the Pythagoras theorem, we have:
[tex]c = \sqrt{a {}^{2} + b {}^{2} } [/tex]
with a = 5, b = 6, we have:
[tex]c = \sqrt{5 {}^{2} + 6 {}^{2} } = \sqrt{61} [/tex]
Evaluate each limit given that limit x->2 f(x)=9.
limit x->2 1/3[f(x)]^2= 27✔️
limit x->2 3f(x)+5= 32✔️
limit x->2 [f(x)]3/2= 27✔️
Answer:
27
32
27
Step-by-step explanation:
1) limit x->2 1/3[f(x)]^2= 27
2) limit x->2 3f(x)+5= 32
3) limit x->2 [f(x)]3/2= 27/2
What is limit?"A limit is the value that a function approaches as the input approaches some value."
Limit properties:If limit f(x) = m and constant 'a',
limit a (f(x)) = a × m
limit (f(x))^n = (m)^n
limit (a) = a
limit (f(x) + a) = m + a
Given: limit x->2 f(x)=9.
We need to evaluate each limit.
1) limit x->2 1/3[f(x)]^2
⇒ [tex]\lim_{x \to 2} \frac{1}{3} (f(x))^2[/tex]
= [tex]\frac{1}{3} \lim_{x \to 2} (f(x))^2[/tex]
= [tex]\frac{1}{3} (\lim_{x \to 2} f(x))^2[/tex]
= [tex]\frac{1}{3} \times (9)^2[/tex]
= [tex]\frac{81}{3}[/tex]
= 27
2) limit x->2 3f(x)+5
⇒ [tex]\lim_{x \to 2} (3f(x)+5)[/tex]
= [tex]\lim_{x \to 2} 3f(x)+ \lim_{x \to 2} 5[/tex]
= [tex]3\lim_{x \to 2} f(x) + 5[/tex]
= [tex](3 \times 9)+5[/tex]
=[tex]\bold{32}[/tex]
3) limit x->2 [f(x)]3/2
⇒ [tex]\lim_{x \to 2} (f(x))\frac{3}{2}[/tex]
= [tex]\frac{3}{2} \times (\lim_{x \to 2} f(x))[/tex]
= [tex]\frac{3}{2} \times 9[/tex]
= 27/2
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Helppppoppppppppp!!!!!
Answer:
x=64
Step-by-step explanation:
[tex]x^{2} =A\\x^{2} = 4,096[/tex]
Answer:
Hello! answer: 64
Step-by-step explanation:
Each side length of the square is the same therefore we just have to find the square root of 4096 64 × 64 = 4096 therefore the side length of the square is 64 HOPE THAT HELPS!
Find the missing side length. Leave your answer as a radical in the simplest form
Please help...no links
9514 1404 393
Answer:
x = y = 12
Step-by-step explanation:
A right triangle with a 45° angle is an isosceles right triangle. That means the legs are both the same length. The side ratios of such a triangle are ...
1 : 1 : √2
Multiplying these ratios by 12 gives ...
12 : 12 : 12√2 = x : y : 12√2
The side lengths x and y are both 12 units.
If x= 4, calculate the value of: 3x2 + 4x
Answer:
64Step-by-step explanation:
x = 4
Substitute x and calculate:
3x² + 4x = 3(4²) + 4(4) = 48 + 16 = 64After the introduction of a new soft drink, 200 people are asked to take a taste test to see how it is being received. Of those who participated, 48 said they preferred the new soft drink, 112 preferred the old soft drink, and 40 could not tell any difference. What is the probability that a person in this survey, chosen at random, preferred the new soft drink
Answer:
Step-by-step explanation:
The possibility is 48/200
The probability of people preferred the new soft drink is 6/25.
To find the probability.
What is probability?probability is the ratio of the number of favorable outcomes and the total number of possible outcomes.
Given that:
Total number of people taste test=200
Number of people who participated new soft drink=48
Number of people who participated old soft drink=112
Number of people who participated could not tell any difference=40
So, the probability of people preferred the new soft drink=
favorable outcome/total number of outcome
probability of people preferred the new soft drink=48/200
probability of people preferred the new soft drink=6/25
So, the probability of people preferred the new soft drink is 6/25.
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Write an equation and solve:
Kiran is trying to save $144 to buy a new guitar. she has $34 and is going to save $10 a week from money she earns mowing lawns. she wants to know how money weeks it will take her to have enough money to purchase the guitar.
Answer:
Step-by-step explanation:
10x + 34 = 144
10x = 110
x = 11 weeks
Question 11 of 20: Select the best answer for the question. 11.
Given gross sales of $50,000, sales returns and allowances of $6,000, beginning inventory of $4,000, net purchases of $8,000, ending inventory of $2,000, and operating expenses of $4,500, calculate net income.
A. $32.500
B. $28,550
C. $29.500
D. $30,570
Answer: $29500
Step-by-step explanation:
Given the information from the question, the net income will be calculated as:
Net sales = Gross profit - sales returns and allowances
= $50000 - $6,000
= $44000
Gross profit = Net sales - Cost of goods sold
= $44000 - $10000
= $34000
Net income = Gross profit - Operating expense
= $34000 - $4500
= $29500
1 +1
Deedederffetfrerggrrrggtrrttt
Answer:
11 or 2, it depends on how you think abt it
Answer:
2
Deedederffetfrerggrrrggtrrttt
please i really need help with this
Complementary and supplementary angles
Can someone answer this please l
Answer:
Step-by-step explanation:
(5a + 18) + (48 - a) + (8a - 30) = 180 (Angles on a straight line)
5a + 18 + 48 - a + 8a - 30 = 180
12a + 36 = 180
12a = 180 - 36
a = 144/12
a = 12
therefore, the first angle is, 78 degree, second angle is 36 degree and third angle is 66 degree.
Therefore, the size of the smallest angle is 36 degree