In a class there are 21 boys and girls make up 0.4 find the total students in class
Answer:
35
Step-by-step explanation:
let x be the number of students in the class
then number of girls = 0.4x , so
x = 21 + 0.4x ( subtract 0.4x from both sides )
0.6x = 21 ( divide both sides by 0.6 )
x = 35
the total number of students is 35
In how many ways can the letters in the word "STATISTICS" be arranged if the letter T must be the first
letter & no vowel can be the last letter?
Answer:
6
Step-by-step explanation:
STATISTICS" is the 10 letters word in which "S" appears 3 times, "T" appears 3 times, "A" appears 1 time, "I" appears 2 times and "C" appears 1 times. To arrange this word letter "T" must be first letter so there is only one way to choose first place. Since vowel can not be the last letter there are 6 choices...
Solve the system of three linear equations containing three unknowns:
x+4y-z=1
2x-6y+z=-13
-2x+20y-5z=26
Answer:
The answer is in Step-by-step explanation
Step-by-step explanation:
x,y,z (-3, 3/2, 2
Hope this helps!!
PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
[tex]\frac{14}{7} =\frac{n}{21}[/tex]
Let us divide by 14 by 7 which is 2, so the equation is:
[tex]2 = \frac{n}{21}[/tex]
Let us multiple 21 over the other side since 21 is in the denominator of the equation, so we get
[tex]n = 21*2 = 42[/tex]
So the answer is 42.
I would like to know the cost of c
Answer:
1..75c
Step-by-step explanation:
Alvin was making chicken parmesan, but he only wanted to make 1/2 of the recipe. If the whole recipe called for 1/2 of a cup of bread crumbs, how many cups will he need to make 1/2 of the recipe?
Answer:
1/4 cup
Step-by-step explanation:
To make half a recipe, each of the quantities in the recipe must be multiplied by 1/2. Alvin will need ...
(1/2) × (1/2 cup) = 1/4 cup
of bread crumbs.
Tirzah wants to put a fence around her garden. She has 22 yards of fence material. Does she have enough to go all the way around the garden? Explain why or why not.
PLEASE EXPLAIN THE STEPS
Answer:
No becasue she only has 22 yard and the total she needs is more than 23 yards
What are the potential solutions of log4x+log4(x+6)=2?
Without using a calculator, fill in the blanks with two consecutive integers to complete the following inequality ____ < √32 < ____
Answer:
I believe it is 5 < √32 < 6.
Step-by-step explanation:
√25 = 5 and √36 = 6 so therefore, the answer is 5 < √32 < 6. I hope I helped! ^-^
6.
Which of the following is an example of a rational number that is an integer
and a whole number?
Answer:
-2/5 , -7/13 , 7/11 , 5/84
1. The answer would be "-15" since integers are composed of whole numbers and negatives.
2. The statement "Every real number is a rational number." is false, since real numbers are composed of both rational and irrational numbers.
3. The number "8.52624 . . ." because this is the only non-terminating number, which makes it the only irrational number on the list.
4. "Irrational numbers cannot be classified as rational numbers." is the only correct statement. No irrational numbers can be rational numbers, and the opposite is also true.
5. Only the statement "Every irrational number is a real number." is true.
i hope this work for you
URGENT !!! ANSWER NUMBER 7, right answer will get the brainlest!!!!
Answer:
Most likely wrong but i thinkkk C
Step-by-step explanation:
What is ∑n=124(5n−7) equal to?
Enter your answer in the box.
The sum of the sequence is 300
Sum of sequenceGiven the sum of sequence;
∑n=(5n−7)
We are to get the sum of the sequence from n = 1 to n = 24
The formula for calculating the sum of the sequence is expressed as:
Sn = n/2(a+l)
Given the following parameters
a = 1
l = 24
n = 24
S24 = 24/2(1 + 24)
S24 = 12(25)
S24 = 300
Hence the sum of the sequence is 300
Learn more on sum of sequence here: https://brainly.com/question/18494472
Answer:
1332
Step-by-step explanation:
please answer C onwards ASAP
Answer:
c)
6.1 x 5 = 30.5
6.1 + 12.9 = 19
19/2 = 9.5
9.5 x 10= 95
95 + 30.5 = 125.5 cm squared
d) 4.1 x 4.7 = 19.27
2.05 squared x pi = 13.5
13.5 /2 = 6.6
19.27 + 6.6 = 25.87 cm squared
e) 16 x 22 = 352
352/2= 176
pi x 11 squared = 95.03
95.03+176 = 271.03 cm squared
f) 8 x 8 =64
pi x 4 squared= 50.27
50.27 x 3 = 150.81
150.81 + 64 = 214.81cm squared
You deposit 5000 in an account earning 2% interest compounded continuously. How much will you have in the account in 5 years
Answer:
500$
Step-by-step explanation:
A square pyramid with a=20 mm and b=96mm what is the length of side c
What is the slope-intercept equation for the following line?
Answer:
Slope: -1/3
Y-int: 1
6•(n+8) = 6•n + 6•8 is what property
Answer:
im pretty sure its distributive property
Step-by-step explanation:
question: %({<520>545]#-[101])
<=lowest number
>= highest number
{=start grid
}= end grid
the x axis of the grid starts at the lowest number and ends at the highest. The reverse is applied for the y axis
#- defines the intersection as the result of an operation made between the 2 numbers that intersect on the grid
[n] = the nth intersection
X axis takes priority in operations
%()= return the final result of any actions defined inside brackets
for decimal numbers only the first 4 digits matter
question: %({<520>545}#-[101])
(example grid in picture the red in the example grid is the intersection)
Answer:
highest umber is correct answer
help me i really need help
Answer:
1.24.24
2.=579.67
3.72.5
4.808.95
5.104
6.433.14
Step-by-step explanation:
Suppose the probability of success in a binomial trial is 0.23. What is the probability of failure?
Which does not have a perimeter of 8x+8.
Answer:
Figure 1 does not have perimeter 8x +8
Step-by-step explanation:
Perimeter of shape is the sum of all the sides.
Perimeter of figure 1 = 2x +2 + x + 2x + 2 +x
= 2x + 2x + x + x + 2 + 2 {Combine like terms}
=6x + 4
Michelle cooked 72 a pound of chicken for dinner. Three people are going to be sharing the chicken. What fraction of the chicken will each person get?
Answer:
1 / 3 (one third)
Step-by-step explanation:
Divide the number of chickens by the number of people:
1 / 3
Find the slope of the line through (-1,-4) and (1,2)
Answer:
the slope is 3
Step-by-step explanation:
soo we just have to use the equation y2 - y1/ x2 - x1 to find the slope
-4 - 2/ -1 - 1
-6 / -2
3
3.6 Triathlon times, Part II: The distribution for triathlon time varies depending on the population you are describing. The distribution for men ages 30 - 34 is N(μ=4378, σ=565). The distribution for women ages 25 - 29 is N(μ=5212, σ=849). Note, these distributions list the triathlon times in seconds. Use this information to compute each of the following. Report your answer to 2 decimal places.
a) The cutoff time for the fastest 5% of athletes in the men's group, i.e. those who took the shortest 5% of time to finish.
b) The cutoff time for the slowest 10% of athletes in the women's group.
Using the normal distribution, it is found that:
a) The cutoff time for the fastest 5% of athletes in the men's group is of 3448.58.
b) The cutoff time for the slowest 10% of athletes in the women's group is of 6298.72.
Normal Probability DistributionIn a normal distribution 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]
It 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, which is the percentile of X.Item a:
For men, we have that [tex]\mu = 4378, \sigma = 565[/tex].
The cutoff for the fastest 5% of the athletes is the 5th percentile, which is X when Z has a p-value of 0.05, that is, X when Z = -1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.645 = \frac{X - 4378}{565}[/tex]
[tex]X - 4378 = -1.645(565)[/tex]
[tex]X = 3448.58[/tex]
The cutoff time for the fastest 5% of athletes in the men's group is of 3448.58.
Item b:
For women, we have that [tex]\mu = 5212, \sigma = 849[/tex].
The cutoff is the 90th percentile, which is X when Z = 1.28, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 5212}{849}[/tex]
[tex]X - 5212 = 1.28(849)[/tex]
[tex]X = 6298.72[/tex]
The cutoff time for the slowest 10% of athletes in the women's group is of 6298.72.
More can be learned about the normal distribution at https://brainly.com/question/24663213
Izza izza izza izza izza izza Izza izza izza izza izza izza
Suppose that the supply of x units of a product at price p dollars per unit is given by the following.
p = 20 + 90 ln(2x + 4)
(a) Find the rate of change of supply price with respect to the number of units supplied.
Answer: [tex]\frac{DP}{DX}[/tex] = [tex]\frac{90}{x+2}[/tex]
(b) Find the rate of change of supply price when the number of units is 38.
Answer: $ 2.25
(c) Approximate the price increase associated with the number of units supplied changing from 38 to 39.
ANSWER NEEDED: $
Answer:
(a) dp/dx = 90/(x+2)
(b) $2.25
(c) approx = $2.25
exact = $2.22
Step-by-step explanation:
[tex]p = 20 + 90 \ln(2x + 4)[/tex]
(a) To find the rate of change, differentiate [tex]p[/tex] with respect to [tex]x[/tex] :
[tex]\implies \frac{d}{dx}(p) = \frac{d}{dx}(20) + \frac{d}{dx}(90 \ln(2x + 4))[/tex]
[tex]\implies \frac{dp}{dx}=0+90\times\dfrac{1}{2x+4}\times2[/tex]
[tex]\implies \frac{dp}{dx}=\dfrac{180}{2x+4}[/tex]
[tex]\implies \frac{dp}{dx}=\dfrac{90}{x+2}[/tex]
(b) Find [tex]\frac{dp}{dx}[/tex] when [tex]x=38[/tex] :
[tex]\implies \frac{dp}{dx}=\dfrac{90}{38+2}[/tex]
[tex]\implies \frac{dp}{dx}=\dfrac{90}{40}[/tex]
[tex]\implies \frac{dp}{dx}=2.25[/tex]
(c) Approximate price increase associated with the number of units supplied changing from 38 to 39 is [tex]\frac{dp}{dx}[/tex] when [tex]x=38[/tex]
[tex]\implies \$2.25[/tex]
Exact price increase:
[tex]\implies \left. p \right_{x=39}-\left. p \right_{x=38}\\\\\implies [20 + 90 \ln(2 \times 39 + 4)]-[20 + 90 \ln(2\times38 + 4)]\\\\\implies 416.6047323...-414.3823972...\\\\\implies 2.222335133...\\\\\implies \$2.22[/tex]
PLSSSSSSSSS HELPPPPPPPP
Answer:
The answer is 10.25
Step-by-step explanation:
They want the approximate average ring size between the men, the lowest being 9 and the highest 12.
The average between those two numbers would be 10.5
But the said 'the best approximation'
So it's 10.25
Josh mixes water and flour in the ratio 1:4. How much flour should be mixed with 2.5 cups of water?
Answer:
10 cups of flour
Step-by-step explanation:
Ratios tell you how much of one thing there are compared to another.
It is stated that the ratio of water to flour is 1:4.
This means for every 1 cup of water, there are 4 cups of flour.
If there are 2.5 cups of water, we do 2.5 x 4 = 10 cups of flour.
Answer:
[tex]x=10[/tex]
Step-by-step explanation:
[tex]1\div4=2.5\divx[/tex] ÷ [tex]x[/tex]
a. Find the domain
[tex]\frac{1}{4}=\frac{2.5}{x}[/tex]
If the fraction is defined, the denominator cannot equal 0.
[tex]x\neq 0[/tex]
Append the inequality as the domain
[tex]x\neq 0[/tex]
b. Solve the equation
[tex]\frac{1}{4}=\frac{2.5}{x}[/tex]
Cross multiply
[tex]x=2.5\times4[/tex]
Calculate the product or quotient
[tex]x=10[/tex]
c. Find the intersection
[tex]x=10[/tex]
I hope this helps you
:)
find the surface area of the prism
2ft 1ft 3ft 2.2ft
Answer:
6.2ft
Step-by-step explanation:
2+1+3+2.2=6.2
hi can anyone plss help me with this. thank you