Answer:
t=3
Step-by-step explanation:
subtract 3 on both sides (4t=12)
divide by 4 on both sides (t=3)
Answer:
3+4(3)=15
Step-by-step explanation:
Angle ABC is similar to Angle QRS. Also, side AB measures 50 cm, side AC measures 60 cm, and side QS measures 6 cm.
What is the measure of side QR?
Answer:
5 cm
Step-by-step explanation:
[tex]\frac{60}{50} = \frac{6}{x}[/tex]
The student council is making corsages to sell at prom. They spent $350 on materials such as
flowers, ribbons, elastic and pins. They are selling the corsages for $7.50 each. They need to
earn $700 to pay for prom decorations. Which inequality will determine the correct number of
corsages, c, that the class needs to sell to pay for the prom decorations?
Answer:
The inequality 7.50c - 350 ≥ 700 can be used.
Step-by-step explanation:
Given that:
Amount spent on materials = $350
Amount the council needs to earn = $700
Selling price per corsage = $7.50
Number of corsages sold = c
Selling price per corsage * Number of corsages sold - amount spent on materials ≥ amount needs to be earned
[tex]7.50c - 350 \geq 700[/tex]
Hence,
The inequality 7.50c - 350 ≥ 700 can be used.
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
What is school
WRONG ANSWERS ONLY
MAKE THE ANSWER A LONG ANSWER
EXPLAIN HOW YOU GOT YOUR ANSWER
MAKE IT KINDA MAKE SENSE
I WILL GIVE BRAINLIEST
Answer:
A hotdog
Step-by-step explanation:
School is like a hotdog all students are the weenies while the buns are the walls of the school. PERIODT.
Answer:
A jail
Step-by-step explanation:
WE eat a lot worse than prisoners we are forced to memorize stuff which is horrible.
how to divide 1 digit by 1 digit
Answer:
2÷2 =1
Step-by-step explanation:
just see how many times can that one digit goes into the other one digit
The art club in Northwestern middle school is selling candy bars as a fundraiser. The box parts below show the number of candy bars the members of the art club sold in the first two weeks of the fundraiser select all of the following statements that are true about the art club candy bar sales
Answer:
c and f
Step-by-step explanation:
What is the volume of a box with width 2 2/3 inches, length 3 1/3 , inches, and height 2 1/3. inches?
Answer:
It is 20.74 and the fraction way it is 20 20/27
2x - 1 = x-1
Answer please thank you
Answer: x=0
Step-by-step explanation:
2x-x=0
Move the variable to the left-hand side and change its sign
2x-x=0
Collect like terms
X=0
Find the value of x so that the function has the given value.
q(x)=13x−2; q(x)=−4
Answer:
q(X)=_4
now
=13×_4_2
=52_2
=50
Answer:
-2/13
Step-by-step explanation:
13x-2=-4
13x=-4+2
13x=-2
x=-2/13
A company hired 15 new employees. They want to randomly assign 4 of them to work in the graveyard shift. In how many ways can this assignment be made
Answer:
This assignment can be made in 1365 ways.
Step-by-step explanation:
The order in which the shifts are assigned is not important. For example, employees A, B, C, D and D,C,B,A being assigned is the same thing. So, we use the combinations formula to solve this question.
Combinations Formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
Assignment of 4 employees, from a set of 15. So
[tex]C_{15,4} = \frac{15!}{4!(15-4)!} = 1365[/tex]
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
In the expression 7g + 15, g is the
O coefficient
O variable
constant
operation
7). Kevin and his 8 friends made $1080 mowing lawns this summer. How. much money will each person get if they divide the money evenly? Write the equation and give the solution.
Answer:
120
Step-by-step explanation:
Divide 1,080 by 9.
What is the answer?!!!
Answer:
[tex]\displaystyle d = \sqrt{72}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (2, -3)
Point (8, -9)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [DF]: [tex]\displaystyle d = \sqrt{(8-2)^2+(-9--3)^2}[/tex](Parenthesis) Simplify: [tex]\displaystyle d = \sqrt{(8-2)^2+(-9+3)^2}[/tex](Parenthesis) Subtract/Add: [tex]\displaystyle d = \sqrt{(6)^2+(-6)^2}[/tex][√Radical] Exponents: [tex]\displaystyle d = \sqrt{36+36}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{72}[/tex](3b) Write a multiplication equation that corresponds to this division equation.
4.5 divided 3 = ? *
Answer:
?⋅3=4.5 or 3⋅?=4.5
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.
Enter the difference as a mixed number
Answer:
The answer is 2[tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.
So you get 2 4/5
Answer:
28/10
Step-by-step explanation:
To make it easier, you can multiply the whole numbers by the denominators, and then add the numerator to the total. For the first one, do 4 x 10 = 40. Then add 5, and you get 45. The fraction will then be 45/10. For the second one, 1 x 10 = 10. Then add 7, and you get 17. The fraction will be 17/10.
Next, subtract the numerators because both of the denominators are equal. You then get 28/10 because 45 - 17 = 28.
28/10 is your mixed number fraction.
Hope this helped!
For runners in a race, a low time means a faster run. The winners in a race have the shortest running times. Is it more desirable to have a finish time with a high or a low percentile when running a race
Answer:
It is desirable to have finish time with low percentile.
Step-by-step explanation:
It is more desirable to have a low percentile for finish time for runners when running a race. A low percentile means a short time, which is faster.
When competing in a race, a low percentile finish time is preferable.
What is the relationship between speed and time?
Speed is the rate at which a distance changes over time. So speed and time are inversely proportional.
In a race, the person who runs faster will finish the race first. So a faster run takes less time.
Hence, it is more desirable to have a low percentile finish time during a race.
To learn more about speed, use the link given below:
https://brainly.com/question/28224010
#SPJ2
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.
if the radius is 2 inches, what is the diameter
Answer:
[tex]d=2r[/tex]
Step-by-step explanation:
[tex]d=2*2[/tex]
[tex]d=4[/tex]
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!
Need ASAP only answer if ur confident in ur answer
Answer:
L=PH
L=6in(11in)
L=66in
66in
Answer:
74.5 in²Step-by-step explanation:
surface area of the given image
= 1/2 (1.5) 2 (2 triangular sides) = 3 in²
= 2 x 11 (2 rectangular sides) = 44 in²
= 2.5 x 11 (rectangular bot base) = 27.5 in²
total = 74.5 in²
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
Please help I need to know what X is.
Answer:
14
Step-by-step explanation:
We can find the value of x using similarity ratio
(2x-7)/57 = (x+4)/51 cross multiply expressions
51×(2x-7) = 57×(x+4)
102x - 357 = 57x + 228
102x - 57x = 228 + 357
45x = 585 divide both sides with 45
x = 13
If you can help that will be good
Suppose X and Y are non-empty sets. Which set contains more elements: X U Y or X ∩ Y? Explain.
Answer:
The union of two sets is guaranteed to result in an equal or larger set than if they were intersected.
This only makes sense because intersecting sets is exceptional, only values that already exist in both sets are in the result. Whereas a union of two sets gives you all of the content of both.
The only time when an intersection is even equal to a union is when the two sets are identical. If they aren't then the intersection will be smaller.
Can someone help me plz
Answer:
1. Slope=1/4
2. Slope =6
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
A package of 3 notebooks cost $5. Complete the ratio table and graph the pairs of values. How much will 18 notebooks cost?
Answer:
$30
Step-by-step explanation:
18÷3=6 (because the notebooks come in packages of 3)
6x$5=$30
Find the distance represented by 4.9 inches if 1 inch = 50 miles.
Answer:
245 miles
Step-by-step explanation:
To complete this, you want to use the unit conversion technique in fraction form. The units for the numerator of the first fraction (thing you want to convert) should match the units of the denominator in the multiplying fraction.
Answer:
4.9 inches = 7.73359e-5 miles
Step-by-step explanation:
:)