Answer:
p=5x+3y
solve for x, number of cupcakes. isolate x
5x=p-3y
divide by 5
x=(p-3y)/5
Step-by-step explanation:
D. x<15
Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage. Let x be a random variable that represents the number of milligrams of porphyrin per deciliter of blood. In healthy circles, x is approximately normally distributed with mean µ = 43 and standard deviation σ = 15. Find the following probabilities. (Round your answers to four decimal places.)
a. x is less than 60
b. x is greater than 16
c. x is between 16 and 60
d. x is more than 60
Answer:
a) 0.8708 = 87.08% probability that x is less than 60
b) 0.9641 = 96.41% probability that x is greater than 16.
c) 0.8349 = 83.49% probability that x is between 16 and 60
d) 0.1292 = 12.92% probability that x is more than 60.
Step-by-step explanation:
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.
In this question, we have that:
[tex]\mu = 43, \sigma = 15[/tex]
a. x is less than 60
This is the pvalue of Z when X = 60. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{60 - 43}{15}[/tex]
[tex]Z = 1.13[/tex]
[tex]Z = 1.13[/tex] has a pvalue of 0.8708
0.8708 = 87.08% probability that x is less than 60
b. x is greater than 16
This is 1 subtracted by the pvalue of Z when X = 16. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{16 - 43}{15}[/tex]
[tex]Z = -1.8[/tex]
[tex]Z = -1.8[/tex] has a pvalue of 0.0359
1 - 0.0359 = 0.9641
0.9641 = 96.41% probability that x is greater than 16.
c. x is between 16 and 60
This is the pvalue of Z when X = 60 subtracted by the pvalue of Z when X = 16. We found those in a and b, si:
0.8708 - 0.0359 = 0.8349
0.8349 = 83.49% probability that x is between 16 and 60
d. x is more than 60
This is 1 subtracted by the pvalue of Z when X = 60.
So
1 - 0.8708 = 0.1292
0.1292 = 12.92% probability that x is more than 60.
x + 7y < 14
– 2y < 10
х
Answer:
(3,0) is the answer.
Step-by-step explanation:
for first inequality,
3 + 7×0 ≤ 14
or, 3 ≤ 14
for second inequality,
3 - 2×0 ≤ 10
or, 3 ≤ 10
As you can see (3,0) satisfies both equations. so (3,0) is the answer.
Find the value x and write the property used here.
Step-by-step explanation:
Soln,
Here,
45°+65°+y(let)=180°[ being a triangle]
or,110°+y=180°
or,y=180°-110°
so,y=70°
Now,
x=?
so,
x+y=180°[being straight angle]
or,x+70°=180°
or,x=180°-70°
x=110°
THEREFORE,x=110°
solved!
Answer:
x = 110°
Step-by-step explanation:
Exterior angle property states that the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, that is
x = 45° + 65° = 110°
The shadow of a 60 foot pole is a 100 feet long. What is the angle of evaluation from the end of the shadow to the top of the pole?
Answer:
θ = 36.86°
Step-by-step explanation:
Given that,
The shadow of a 60 foot pole is a 100 feet long.
We need to find the angle of elevation from the end of the shadow to the top of the pole.
Height, h = 60 foot
Hypotenuse, H = 100 feet
Using trigonometry to find it.
[tex]\sin\theta=\dfrac{\text{Height}}{\text{Hypotenuse}}\\\\\sin\theta=\dfrac{60}{100}\\\\\theta=\sin^{-1}(\dfrac{60}{100})\\\\\theta=36.86^{\circ}[/tex]
So, the angle of elevation is 36.86 degrees.
What is the equation of the parabola, in vertex form, with focus at (2,-4) and directrix y=-6?
A. (X-2)^2 = 4(y+5)
B. (Y+4)^2 = 4(x-2)
C. (X+2)^2 = 1/4(y+4)
D. (X-2)^2 = -1/4(y+5)
Answer:
A. (X-2)^2 = 4(y+5)
Step-by-step explanation:
Equation of parabola: (x-2)² = 4(y+5)
Thus option A is correct.
Given:
Focus at (2, -4) and a Directrix of y = -6
Here,
Let us suppose that there is a point (x, y) on the parabola.
Its distance from the focus point (2, 4) is √(x - 2)² + (y + 4)²
Its distance from directrix y = -6 is |y + 6|
Therefore, the equation will be:
√(x - 2)² + (y + 4)² = |y + 6|
Squaring on both the sides,
(x - 2)² + (y + 4)² = (y + 6)²
x² - 4x + 4 + y² + 8y + 16 = y² + 12y + 36
(x-2)² = 4(y+5)
Therefore option A is correct.
Know more about parabola,
https://brainly.com/question/29203572
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(05.06A)Angle ABC is formed by segments AB and BC on the coordinate grid below:
Which statement shows the measure of angle A′B′C′?
A. m∠A′B′C′ = 90 degrees
B. m∠A′B′C′ = 180 degrees
C. m∠A′B′C′ = m∠ABC
D. m∠A′B′C′ = 2 × m∠ABC
Answer:
(C) m∠A′B′C′ = m∠ABC
Step-by-step explanation:
Regardless of what translation or transformation you do to this shape, the angles will always stay the same.
Answer:
Give the other guy who answer brainlyist he is poggers.
Step-by-step explanation:
please help me guys lol?
Answer:
Hey
Step-by-step explanation:
Write the fraction in simplest form
[tex] - \frac{29}{18} [/tex]
EXPLANATION[tex] \frac{8}{9} - \frac{5}{2} [/tex]
Find the difference between 8/9 and 5/-2
[tex] \frac{8}{9} - \frac{5}{2} [/tex]
[tex] \frac{8 \times 2}{9 \times 2} - \frac{5 \times 9}{2 \times 9} [/tex]
[tex] \frac{16}{18} - \frac{45}{18} [/tex]
[tex] \frac{16 - 45}{18} [/tex]
[tex] \frac{ - 29}{18} [/tex]
[tex] - \frac{29}{18} [/tex]
What value of x is in the solution set of -5x-15>10+20
Answer:
Resposta:
x = 1
Explication
10x – 9 = x *
10x - x = + 9
9x = 9
x = 9 / 9
x = 1
S= { 1 }
Answer:
x< -9
Step-by-step explanation:
-5x>10+20+15
-5x>45
-5x/-5<45/-5
x<-9
One Friday night, two large groups of people called Weston Taxi Service. The first group requested 2 sedans and 1 minivan, which can seat a total of 14 people. The second group asked for 2 sedans and 2 minivans, which can seat a total of 20 people. How many passengers can each type of taxi seat? Write a system equation of the this.
Answer:
Sedan: 4 passengers
Minivan: 6 passengers
Step-by-step explanation:
We can write the following system of equations:
[tex]\begin{cases}2s+1m=14 \\2s+2m=20\end{cases}[/tex], where [tex]s[/tex] represents the number of people a sedan can seat and [tex]m[/tex] represents the number of people a minivan can seat.
Subtracting the first equation from the second, we have:
[tex]2s+2m-(2s+1m)=20-14,\\\\m=6[/tex]
Now plug in [tex]m=6[/tex] in any of the equations to solve for [tex]s[/tex]:
[tex]2s+1(6)=14, \\2s=8, \\s=4[/tex]
Verify that the solution pair [tex](4, 6)[/tex] works:
[tex]2(4)+1(6)=14\: \checkmark \\2(4)+2(6)=20 \: \checkmark[/tex]
Therefore, a sedan can hold 4 passengers and a minivan can hold 6 passengers.
Which example shows the distributive property?
a. a (b + c) = ab +ac
b. (a + b) + 9 = a (9 + b)
c. a + a + a = 3a
d. a(0)
Twice the number v + 1
Answer:
Answer:
2(c+1)
=
2c+2
Step-by-step explanation:
The student population of a school consists of 300 girls and 500 boys
Answer:
In all you have 800 students.
The ratio of girls to boys is 300:500
500 x 300 = 150000
Step-by-step explanation:
Hope this helps?
A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 12 cm, and the base has a radius of 5.5 cm. The cooler has
18,997 cm of water in it. How many cups can be filled from the cooler?
Use 3.14 for 11, and do not round your answer.
Answer:
16.65 cups
Step-by-step explanation:
Step one:
height =12 cm, and
the base has a radius =5.5 cm
Volume of the cup = πr^2h
substitute we have
volume= 3.142*5.5^2*12
volume= 3.142*30.25*12
volume=1140.546cm^3
Step two:
volume of cooler= 18,997 cm^3
hence the number of cups to fill it is
=18,997/1140.546
=16.65 cups
Determine the intercepts.
1y
x-intercept
y-intercept
8
4.
-2
1
2
-4.
-8
Answer:
The x intercept is -1 and the y intercept is 2.
Step-by-step explanation:
The intercepts are the points where the line crosses an axis. The line crosses the x axis at the point (-1,0) with the x value being -1. The line crosses the y axis at the point (0,2) with the y value being 2.
immy said, “The ratio of boys to girls in my class is 3 to 4. For every 3 boys we have 4 girls.” If her class has 24 girls, how many boys are in her class? Show ALL work.
Answer:
18 boys
Step-by-step explanation:
24 divided by 4 gives you 6 girls so multiply the amount of boys (3) and you will get how many boys are in her class.
Answer:
18 boysStep-by-step explanation:
The ratio is:
b/g = 3/4, where b- boys and g- girls24 girls in the , then number of boys is:
b / 24 = 3/4b = 24*3/4b = 18which graph does not represent a proportional relationship
Answer:
A would be your answer if I'm not mistaken
Square ABCD is shown in the xy-coordinate plane. The square will be
dilated with the center O by a scale factor of 2 to create square A'B'C'D'.
Which statements are true?
Select all that apply.
BC ||B'C'
AC=A'C'
AD_CD
Point D' has the same coordinates as point C.
Point C' lies on the line containing points 0 and C.
9514 1404 393
Answer:
A, C, D, E
Step-by-step explanation:
Dilation does not change angles or directions. Every image point X' lies on the line containing the center of dilation and the pre-image point X. If the scale factor is other than 1, no image segment will be congruent to its pre-image segment. So, the following are true:
BC║B'C'AC ⊥ line C'D'D' and C have the same coordinatesC' lies on line OCYou have 8 cups of milk. You need 1.25 cups to make one serving of deep-fried chicken. How many servings can you make?
Answer:
6 servings
Step-by-step explanation:
1,25x6=7.5
The number of servings can you make deep-fried chicken will be 6.
What is inequality?Inequality is defined as an equation that does not contain an equal sign.
You have 8 cups of milk.
You need 1.25 cups to make one serving of deep-fried chicken.
Let x be the number of the deep-fried chicken.
Then the inequality will be
1.25x ≤ 8
On solving, we have
x ≤ 6.4
Then the number of servings can you make deep-fried chicken will be 6.
More about the inequality link is given below.
https://brainly.com/question/19491153
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Can you guys help my brother please
If the measure of angle A is 71° in the measure of angle E is:
If Angle A is 71°, E is 355°.
Answer:
Angle E: 289
Step-by-step explanation:
If there are only 2 angles, and they would add up to be 360, then it is 289.
Just subtract 360-71 to get 289
please help me and I'll give you brainliest
Answer:
Im pretty sure its 96.
in other words, i think its A.
...brainly now?
how i did this:
Formula for Volume of Rectangular prism: V=lwh
The width is the bottom row
The length is the bottom row but on the side.
The hight is.... the hight. the number of blocks going up.
then if you times your W (width), your L (length), and your H (hight), then you will get your V (volume.)
W= 4
L= 6
H= 4
times it together and you get V=96
Answer:
[tex]\mathrm{A. \:96\:cubic\:cm}[/tex]
Step-by-step explanation:
The volume of a rectangular prism can be represented by [tex]l\cdot w\cdot h[/tex]. The dimensions of this prism are 4x4x6.
Therefore the volume of this prism is:
[tex]4\cdot 4\cdot 6=\fbox{$\mathrm{A. \:96\:cubic\:cm}$}[/tex]
Will mark brainliest!!! Please solve the ones in green using Tran
Answer: 160.96 and 99.03
Step-by-step explanation:
Number 1:
[tex]tan(61) = \frac{x}{43}[/tex] [tex]tan(61)(43) = x[/tex][tex]160.96 = x[/tex]Number 2:
[tex]tan(57) = \frac{48}{x}[/tex][tex]tan(57)(x) = 48[/tex][tex]x = \frac{48}{tan(57)}[/tex][tex]x = 99.03[/tex]Hope this isn’t too difficult, my teacher said to show you're work... so I hope you don’t mind explaining how you found it.
Answer:
3/4 / 1/6
keep the first fraction the same
3/4
flip the second fraction
6/1
change the division to a multiplication it should then read
3/4 X 6/1
now multiply the fractions
3 X 6 = 18
4 X 1 = 4
18/4 this can then be turned into a mixed number.
there are four 4's in 18 with two left over. so it becomes
4 2/4 and simplified 4 1/2.
When a=-12 and b=6, which expression:
has the largest value?
has the smallest value?
is the closest to zero?
When a=12 and b=-6, which expression:
has the largest value?
has the smallest value?
is the closest to zero?
When a=-6 and b=-12, which expression:
has the largest value?
has the smallest value?
is the closest to zero?
Answer:
⬇
Step-by-step explanation:
2 :
B has the largest value
A has the smallest
A is closer to 0
3:
Largest value is A
Smallest is B
A is closer
4:
B has the largest value
A is smallest
B is closer to 0
I really hope this helps!
PLS HELP I WILL GIVE BRAINLEST
1. Patrick is saving money to buy a video game that costs $68.
Part A. Patrick receives $6 every week for doing chores at home. Patrick spends $2.00 every week and saves the rest.
How many full weeks will it take Patrick to save enough money to purchase the video game? Show your work and justify your answer.
Part B. Patrick can earn extra money by cutting grass. His neighbors will pay him $4.00 for each lawn that takes him 30 minutes. What is the amount of time, in extra HOURS, that Patrick would have to spend cutting grass to be able to buy a second $68 video game for his friend? Show your work to justify your answer.
Answer:
he earns 69 dollars
Step-by-step explanation:
1st grade question now give brainliest 5 stars and heart
Answer:
Step-by-step explanation:
Part A.
6x-2=68
+2 +2
6x=70
/6 /6
x=11.66
x≈12
Part B.
6x-2+8x=68
14x-2=68
+2 +2
14x=70
/14 /14
70/14=5
x=5
I hope this helps:
Help me out with number 9 (geometry)
Answer:
The answer to the question provided is 37.5.
Anybody know the answer to this? Please help ASAP
Answer:
Read this section of the text:
These raptors eat primarily flying insects, so they do most of their hunting on the wing.
What does primarily mean in this sentence?
Step-by-step explanation:
The value of 34 + 6 ⋅ 5 = . (1 point)
Answer:
The answer is 64
Step-by-step explanation:
34 + 6(5)
34 + 30 = 64
Will mark brainliest!!! Solve for x and round to the nearest tenth
Hi...
Co's 15=x/33...
Cos 15=0.96...
X=31.68
(3 x 10^6) + (2.1 x 10^5) + (1.6 x 10^4) / (2 x 10^2)