Answer:
1500 words in 20 minutes
Step-by-step explanation:
So 225/3 min
or 225:3
so to find unit rate just divide
225/3=75
75 per minute
Now 75 words per minute times 20 minutes75*20=1500
So 1500 words in 20 minutes
Answer:
1500
Step-by-step explanation:
225/3= 75
75 words per 1 min
75 x 20= 1500
Determine whether each equation represents a proportional relationship. Check all that have a proportional relationship.
A. y = 0.5x + 2
B. y = 1,000x
C. y = x + 1
D. y = 17x
Answer:
B and D represent a proportioonal relationship.
Step-by-step explanation:
In order for an equation to be proportional, it must be in the form of y = kx.
What is (-3x^3 y^2)^-1
Answer:
-1/3^3y^2
Step-by-step explanation:
If a=0 b=0 then complex number a+bi is what type NEED HELP THANKS
Answer:
imaginary
Step-by-step explanation:
b ≠ 0 and a = 0
a + i b ===> a -> real and b i is imaginary
Will give brainliest
Answer:
First Gardener.
Step-by-step explanation:
1st gardener= 56 divided by 8= 7 bushes <---
2nd gardener= 45 divided by 5= 9 bushes
3rd gardener= 80 divided by 10= 8
which of the binomials below is a factor of this trinomial x^2-10x+24
Answer:
(x - 6)(x - 4)
Step-by-step explanation:
(x² - 10x + 24)
(x - 6)(x - 4)
The factors are x - 6 and x - 4.
Compute the simplified numerical value of the expression: (4042 + 4040 + 4038 + ... + 6 + 4 + 2) −
(4041 + 4039 + 4037 + ... + 5 + 3 + 1).
Answer:
43
Step-by-step explanation:
Which mapping is a function?
Answer:
C
Step-by-step explanation:
3x = 5.7 x=1 answer
What percentage of the students surveyed eat no more than 3 whole servings of fruits and vegetables daily
Answer:
Step-by-step explanation:
The missing histogram file is attached in the image below.
From the graph, deduce that:
the servings of fruits and vegetable number of students
0 1
1 4
2 5
3 10
4 8
5 3
6 0
7 1
Thus, the percentage of students surveyed that eat more than 3 whole servings is:
= starting from 4 = (8+3+0+1)/32 = 0.375
Factor 18x + 30 using the GCF
Answer:
6 (3x+5) GCF= 6
Step-by-step explanation:
The speed of light is 3 x 10 8 meters per second (m/s). What is the speed of light in miles per year (mi/yr)
Answer:
the speed of light in miles per year is 5.88 × 10^12 mi / year
Step-by-step explanation:
The computation of the speed of light in miles per year is shown below;
As we know that
1 m/sec = 1 ÷ 1609 mi/sec
3 ×10^8 m/sec = (3 × 10^8) ÷ (1609)
= (3 × 10^8 × 60 × 60 × 24 × 365) ÷ (1609)
= 5.88 × 10^12 mi / year
Hence, the speed of light in miles per year is 5.88 × 10^12 mi / year
A Government company claims that an average light bulb lasts 270 days. A researcher randomly selects 18 bulbs for testing. The sampled bulbs last an average of 260 days, with a standard deviation of 90 days. If the CEO's claim were true, what is the probability that 18 randomly selected bulbs would have an average life of no more than 260 days
Answer:
31.92% probability that 18 randomly selected bulbs would have an average life of no more than 260 days
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, 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.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this question, we have that:
[tex]\mu = 270, \sigma = 90, n = 18, s = \frac{90}{\sqrt{18}} = 21.2[/tex]
What is the probability that 18 randomly selected bulbs would have an average life of no more than 260 days?
This is the pvalue of Z when [tex]X = 260[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{260 - 270}{21.2}[/tex]
[tex]Z = -0.47[/tex]
[tex]Z = -0.47[/tex] has a pvalue of 0.3192.
31.92% probability that 18 randomly selected bulbs would have an average life of no more than 260 days
1 point
Two lines meet at a point that is also the vertex of an angle. Set up an equation to find the value of x.
You may want to use the MathQuill Toolbar (fx) to write your equation.
270
65°
po
Answer: x = 30°, and y = 46°
Step-by-step explanation: If we take a look at the attachment below, we will find x = 30°, and y = 46°;
mr dayton uses 8 cups of flour to make three identical loaves of bread how much flour is in each loaf
Answer:
4!
Step-by-step explanation:
Hope this helped
In the expression 2x-5 identify the following parts
Answer:
x is a variable
-5 is a constant
2 is a coefficent
:)
Can someone help me plz
Answer:
1. Slope=1/4
2. Slope =6
Step-by-step explanation:
What is the answer to: 4 2/3÷(-1 1/4)
A. 2.57
B. 7 20/21
C. 1/36
please help asap!!!!!!!
Answer:
v=20
you set IH and FG equal to each other and solve
What is one way to evaluate the validity of a website for use in a research paper?
A
Consider its purpose
B
Count the number of images
С
Look at the title
D
Look at polling features
Hugo has $20. he spends n dollars.How much does he have left?
Answer:
what is the n?
Step-by-step explanation:
(3b) Write a multiplication equation that corresponds to this division equation.
4.5 divided 3 = ? *
Answer:
?⋅3=4.5 or 3⋅?=4.5
Lamar roasted Franklin 9 times on monday Lamar roasted Franklin 12 times on Tuesday, How many times did Lamar Roast Franklin in Total?
Answer:
21 times
Step-by-step explanation:
Answer:
about 420 times
Step-by-step explanation:
9×12=108 plus the amount of dollars Lamar gained from roasting Franklin, which was approximately $312 therefore they were both high when this took place
Whats -7 x 5? Can you also explain how you did it?
Answer:
-35
Step-by-step explanation:
+ x + = +
- x - = +
- x + = -
hope that helps
Answer:
-7 x 5 = -35
Step-by-step explanation:
7 x 5 = 35
35 x -1 = -35
If one number is a negative in a multiplication problem, the answer is negative.
Easy question: 9.75 x 3.5 = ? (15 points)
Find the tangent ratio of angle A. Hint: Use the slash symbol ( / ) to represent the fraction bar, and enter the fraction with no spaces. Reduce fraction when necessary.
A mailbox that is 4 1/2 feet tall casts a shadow that is 6 feet long. At the same time, a nearby ferris wheel casts a shadow 84 feet long. Find the height of the ferris wheel.
60 feet
Answer: 63 ft
Step-by-step explanation:
We can think of the shadow and height of objects as the catheti of a triangle rectangle.
We also know the relationship:
Tan(θ) = (opposite cathetus)/(adjacent cathetus)
if we define:
Tan(θ) = k (a real number, such that will be the same number for every object, because it depends on the angle θ that will depend on the position of the sun)
opposite cathetis = heigt.
adjacent cathetus = length of the shadow.
Then we have:
k = height/length of the shadow.
For the mailbox, we know that the height is (4 + 1/2) ft and the shadow is 6ft long, then we have the equation:
k = (4 + 1/2)ft/6ft = 0.75
Then for the ferris wheel we know:
shadow length = 84ft
we can write the same equation as above:
k = 0.75 = height/84ft
0.75*84ft = height = 63ft
The ferris wheel is 63 ft high.
Answer:
63 feet
Step-by-step explanation:
Trust me got it right
Janet's recipe calls for 3 cups of flour for every 2 cups of sugar. How much sugar does
Janet need, when she uses 9 cups of flour?
a) 6 cups b) 2⁄3 cup c) 8 cups d) 5 cups
Answer:
a) 6 cups
Step-by-step explanation:
Use a ratio equation to solve:
3/2 = 9/x
Cross multiply to get:
3x = 18
Solve for x:
x = 6
Answer: a) 6 cups
Step-by-step explanation: The 3 cups to get to 9, is really double the amount, so if you double 3 then you double 2 and get 6. 3*2=6
HELLLLPPPPPP
Which line passes through the origin?
y = 3
y = x − 3
y = −3x
y = 2x + 1
Which line is horizontal?
y = 2
y = 2x
y = −2x
y = x
Which of the following lines goes downwards from left to right?
y = 2x + 5
y = 2x − 6
y = 2x
y = −2x + 20
What is the equation of a line with a y-intercept at (0, 6) and a slope of 3?
y = 3x + 6
y = 6x + 3
y = 3x − 6
y = −6x − 3
Answer:
c and a hope this helps
Step-by-step explanation:
six increased by two times the difference of four
and two times a number.
In translated expression
16x
Step-by-step explanation:
6 increased by 2 --> 6+2
difference of 4 and 2 --> 4-2
first part times the second part --> 6 + 2 (4-2)
times a number --> • x
put it all together --> (6+2)(4-2) • x or 16x
The approximate number of Calories, C, that an animal needs each day is given by C = 72m^3/4, where m is the animal's mass in kilograms. Find the number of
Calories that a 16 kilogram dog needs each day.
Show all work for this problem on a separate sheet of paper to turn in.
C=
Calories
someone plss helpp!?!!
Answer:
[tex]\huge\boxed{576 \ \text{calories}}[/tex]
Step-by-step explanation:
In order to find the number of calories that an [tex]m[/tex] kg animal weighs, we can substitute what we need inside the formula given, [tex]72m^{\frac{3}{4}}[/tex]. Since we want to find how much a 16 kg dog needs to eat, we substitute 16 in as m.
[tex]72\cdot 16^{\frac{3}{4}}[/tex]
BPEMDAS tells us that the order of solving equations is
Brackets
Parantheses
Exponents
Multiplication/Division
Addition/Subtraction
Looking at this order, we need to do [tex]16^{\frac{3}{4}}[/tex], then multiply by 72.
When we have a number to a fraction power, we need to note that
It's the same as taking the denominator root of the base to the numerator powerTherefore, our expression will be [tex]\sqrt[4]{16^3}[/tex].
[tex]16^3 = 4096[/tex] [tex]\sqrt[4]{4096} = 8[/tex]Now that we have this much, we need to multiply it by 72 as our formula read [tex]72m^{\frac{3}{4}}[/tex].
[tex]72 \cdot 8=576[/tex]Therefore, an animal weighing 16 kg needs to consume 576 calories.
Hope this helped!