Answer:
The height of a large block is of 12.1 inches and of a small block is of 7.7 inches.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
x i the height of a large block.
y is the height of a small block.
Taylor uses 4 large blocks and 2 small blocks to make a tower 63.8 inches tall.
This means that:
[tex]4x + 2y = 63.8[/tex]
Simplifying by 2:
[tex]2x + y = 31.9[/tex]
So
[tex]y = 31.9 - 2x[/tex]
Natsumi uses 9 large blocks and 4 small blocks to make a tower 139.8 inches tall.
This means that:
[tex]9x + 4y = 139.8[/tex]
Since [tex]y = 31.9 - 2x[/tex]
[tex]9x + 4(31.9 - 2x) = 139.8[/tex]
[tex]9x + 127.6 - 8x = 139.8[/tex]
[tex]x = 12.1[/tex]
[tex]y = 31.9 - 2x = 31.9 - 2(12.1) = 7.7[/tex]
The height of a large block is of 12.1 inches and of a small block is of 7.7 inches.
In general, categorical data ___but do not___
O A. classify; measure
O B. measure; classify
O C. value; measure
O D. none of the above
Answer:
The answer is A Lma/o
Step-by-step explanation:
How to convert the following amounts to a mixed fraction 150/49
Answer:
[tex]3\frac{3}{49}[/tex]
Step-by-step explanation:
This one is pretty simple. 50 fits into 150 perfectly 3 times. If we take one out of the denominator, we must add one to the numerator after every whole number being taken out of the fraction and put in the ones spot.
Answer:
You have to find how many times 49 can fit into 150 and then that number is the whole and the remaining will be the numerator and 49 will stay as the denominator.
Step-by-step explanation:
PLEASE HELP
Which line is a linear model for the data?
THIS ISNT MY ANSWER
Answer:
The upper left
Step-by-step explanation:
if someone could please answer this question and explain how to solve it that would be so helpful.
Answer:
x=4
Step-by-step explanation:
x=4
Step-by-step explanation:
first subtract 4 from both sides of the equation 2x+4-4=12-4
simplify 2x=8
divide both sides of the equation by the same term
2x=8
2 2
cancel the terms that are in the numerator and denominator then decide the numbers
x=4
Interest charged when you miss a payment is called _____. A. accrued interest B. late interest C. past due interest D. late payment interest
Answer:
A
Step-by-step explanation:
Answer:
its d , Late payment interest
Step-by-step explanation:
What is the radius of a hemisphere with a volume of 19160 ft', to the nearest tenth
of a foot?
Zoe placed colored blocks on a scale in science class. Each block weighed 0.8 ounces. The total weight of all the colored blocks was 12.8 ounces. How many blocks did Zoe place on the scale? Write and solve an equation to find the answer.
Answer:
16 blocks
Step-by-step explanation:
equation: 0.8x = 12.8
if each block is 0.8oz and the total weight is 12.8oz then divide 12.8 by 0.8 and get 16! in other words, 0.8oz goes into 12.8oz 16 times, meaning there are 16 blocks that each weigh 0.8oz
find the volume of the prism
Answer:
The volume is: [tex]135m^3[/tex]
Step-by-step explanation:
Given
[tex]h = 5m[/tex] ---- height
[tex]l=9m[/tex] -- length
[tex]w = 6m[/tex] --- width
Required
Determine the volume (V)
The volume of a triangular prism is:
[tex]V = 0.5lwh[/tex]
So, we have:
[tex]V = 0.5 * 5m * 9m * 6m[/tex]
[tex]V = 135m^3[/tex]
Write the value of the expression.
Start Fraction 2 cubed over 2 cubed End Fraction
A. 0
B. 1
C. 2
D. 3
Answer:
1
Step-by-step explanation:
since the two numbers are the same up and down so the answer will be always 1
b. You have a recipe that indicates to use 7
parts of sugar for every 4 parts of milk. You
use 28 cups of sugar. How much milk do you
need?
You need
cups of milk.
Answer:
16
Step-by-step explanation:
Can Someone Please Help Me Asap
Answer:
105.3
Step-by-step explanation:
cos(70)= 36/x
x=36/cos(70)
x=105.256958406
x~105.3
Write an equation of a line with slope -4 and y- intercept of 0
Answer:
y=-4x
Step-by-step explanation:
Degree and Radian Measures
Convert the given radian measure to a degree measure.
1.2 /pi (π)
a. -216°
b. 108°
c. 216°
d. -108°
Please select from the best choices provided
Answer:
C. 216°
Step-by-step explanation:
I calculated it logically
Four office desks that are 4 1/8 feet long are to be placed together on a wall that is 16 5/8 feet long. Will they fit on the wall?
Which constant number would you add to both sides of the equation in order to complete the square for the quadratic function 1 = x2 - 6x?
Answer:
9Step-by-step explanation:
Identity of the square of a sum:
(a + b)² = a² + 2ab + b²Applied to given equation:
1 = x² - 6x1 = x² - 2*x*31 + 3² = x² - 2*x*3 + 3²1 + 9 = (x - 3)²The added constant is 9
Answer:
Solution given:
equation is:
1=x²-6x
x²-6x-1=0
comparing above equation with ax²+bx+c=0
we get
a=1
b=-6
c=-1
now
constant no.[tex] {(\frac{b}{2})}^{2}= {(\frac{-6}{2})}^{2}=\frac{36}{4}=9[/tex]
constant required no is 9.
Madison created two functions: For function A the value of Y is two less than four times the value of X.
The table below represents Function B
In comparing the rates of change, which statement about Function A and Function B
Answer:
b. Function A has a greater rate of change than Function B has
Answer:
b. Function A has a greater rate of change than Function B has
5. Which statement is NOT TRUE about the function: y = -3x + 14 a. The Slope = -3 and the y-intercept = 14 b. A solution to this equation is (-1, 11) C. The equation is a Linear function d. The graph of the function passes through (4, 2)
Answer:
B
Step-by-step explanation:
it takes 12 minutes and 36 seconds to walk around the city block. How many seconds did it take?
Answer:756
Step-by-step explanation:
Take 12 and multiply it by 60 since that’s how many seconds are in a minute then add 36
Hope this helps
A guard in a 20m tall watchtower spots a vehicle at an angle of depression oi 25
How far horizontally from the tower is the vehicle, to one decimal place? (
Answer:
Solution given:
height[p]=20m
angle of depression [a]=25°
base[b]=?
we have
Tan a=p/b
tan 25=20/b
b=20/tan25
b=42.89 or 43
the tower is 43m far from the vehicle .
Plz help me well mark brainliest if you correct!!.....
Answer:
Option D, 8
Step-by-step explanation:
absolute value of -5 = 5
absolute value of 3 = 3
Therefore,
5 + 3 = 8
Hope this helps!
Grumpy Corp drug tests all of the recent college graduates it hires each year. The drug test currently used correctly determines drug users 96% of the time(a Positive test) and correctly determines non-users 90% of the time(a Negative test). A recent study concluded that 36% of college students use drugs. A potential employee has been tested and the result was Negative for drug use.
Required:
a. Construct ALL necessary probabilities using proper notation(Example: P(D) for a "drug user").
b. Find the Probability of a Negative test, by showing use of the above Probabilities first, and then followed by the proper calculation.
Answer:
Hence, the probability of a Negative test is [tex]P(T^C)=0.5904[/tex].
Step-by-step explanation:
(a)
Let [tex]D=[/tex] Drug user and [tex]T=[/tex] Test positive
Probability of drug users [tex]P(D)=36\%=0.36[/tex]
[tex]P(\frac{T}{D})=96\%=0.96[/tex]
[tex]P(\frac{T^c}{D^c})=90\%=0.90[/tex]
(b)
Find the Probability of a Negative test,
[tex]P(T^C)=P(\frac{T^C}{D^C})\cdot P(D^C)+P(\frac{T^C}{D})\cdot P(D)[/tex]
[tex]\Rightarrow P(T^C)=0.9\cdot(1-0.36)+(1-0.96)\cdot 0.36[/tex]
[tex]\Rightarrow P(T^C)=0.9\cdot 0.64+0.04\cdot 0.36[/tex]
[tex]\Rightarrow P(T^C)=0.576+0.0144[/tex]
[tex]\Rightarrow P(T^C)=0.5904[/tex]
A quantity with an initial value of 790 decays continuously at a rate of 35% per week. What is the value of quantity after 28 days, to the nearest hundredth?
PLEASE HELP!!!!
Answer:
194.81
Step-by-step explanation:
The expression below represents the distance between two points on a number line.
|-5 – 4|
Which number line shows the two points?
Answer:
A
Step-by-step explanation:
|-5 - 4|
The expression represents the absolute value of - 5 - 4 ;
-5 - 4 = - 9
|-5-4| = 9
Hence, the distance between the two points is 9.
Hence, the number line which shows the two points is A.
What is the volume of this shape to the nearest tenth
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
Where is the link to your question? I can't answer thing without a link my guy- :/
y=-3x-5
y=4x+9
What is the point of intersect between the system of equations?
Answer: (2, -1) is where they intersect.
When a water-cooled nuclear power plant is in operation, oxygen in the water is transmuted to nitrogen-17. After the reactor is shut down, the radiation from the nitrogen-17 decreases in such a way that the rate of change in the radiation level is directly proportional to the radiation level. Required:
a. Write a differential equation that expresses the rate of change in the radiation level in terms of the radiation level.
b. Suppose that when the reactor is first shut down, the radiation level is 3 × 1017 units. After 60 s the level has dropped to 5.6 × 1013 units. Write the particular equation.
c. Sketch the graph of radiation level versus time.
d. It is safe to enter the reactor compartment
when the radiation level has dropped to
7 × 10–3 units. Will it be safe to enter the reactor compartment 5 min after the reactor has been shut down? Justify your answer.
Answer:
hold on ill edit this once i get answer!! <3
Step-by-step explanation:
In a certain section of Southern California, the distribution of monthly rent for a one-bedroom apartment has a mean of $2,275 and a standard deviation of $290. The distribution of the monthly rent does not follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month
Answer:
100% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of $2,275 and a standard deviation of $290.
This means that [tex]\mu = 2275, \sigma = 290[/tex]
Sample of 65:
This means that [tex]n = 65, s = \frac{290}{\sqrt{65}}[/tex]
Finding the mean to be at least $2,095 per month
This is 1 subtracted by the p-value of Z when X = 2095. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{2095 - 2275}{\frac{290}{\sqrt{65}}}[/tex]
[tex]Z = -5[/tex]
[tex]Z = -5[/tex] has a p-value of 0.
1 - 0 = 1
100% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month
Sarah earns $340 per week and spends 20% of her earnings on transportation. How much does Sarah spend on transportation every week?
Answer:
$68
Step-by-step explanation:
=> 20% 0f 340
=> (20/100) * 340
=> (1/5) * 340
=> (340/5) = 68
Sarah spends $68 dollar on transportation.
Thenks and mark me brainliest :)
Given that 3x - 8y = 28
Find y when x = 9
Give your answer as a fraction in its simplest form
Answer:
y = -1/8
Step-by-step explanation:
substitute 9 in for x in the equation
3(9) - 8y = 28
27 - 8y = 28
-27 from both sides to get
-8y = 1
divide both sides by -8
y = -1/8