Answer:
8
Step-by-step explanation
86-14=72 this is the hourly rate before the flat fee is added on. Now you have to divide $72 by $9 to see how many hours josh needs to work. Josh gets paid $9 an hour so he needs to work for 8 hours in order to get $72. Then add the flat fee of 14 and you get $86
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.
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.
20x 10 <= (less then or equal to) 90
Answer:
x(less than or equal to)5
Step-by-step explanation:
add 10 to both sides
20x-10(less than or equal to) 90
+10 +10
20x (less than or equal to) 100
divide by 20 to isolate the variable
20x(less than or equal to) 100
/20 /20
x (less than or equal to) 5
Can you guys help my brother please
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.
The value of 34 + 6 ⋅ 5 = . (1 point)
Answer:
The answer is 64
Step-by-step explanation:
34 + 6(5)
34 + 30 = 64
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:
(3 x 10^6) + (2.1 x 10^5) + (1.6 x 10^4) / (2 x 10^2)
fahimahash is wanted for using bad subject bounty 50 points for the account deleted
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 committee is to consist of two members. If there are seven people
available to serve on the committee, how many different committees can
be formed
Answer:
2
Step-by-step explanation:
Common Sense
The number of different ways committees can be formed will be 21.
What are permutation and combination?A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
A committee is to consist of two members.
If there are seven people available to serve on the committee.
If two people are selected from the group of seven people.
Then the number of different ways committees can be formed will be
⇒ ⁷C₂
⇒ 7! / [(7 – 2)! x 2!]
⇒ 7! / [5! x 2!]
⇒ 7 x 6 x 5! / [5! x 2 x 1]
⇒ 7 x 6 / 2
⇒ 7 x 3
⇒ 21
Thus, the number of different ways committees can be formed will be 21.
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
#SPJ2
Help please 100 points if you do
which graph does not represent a proportional relationship
Answer:
A would be your answer if I'm not mistaken
Please help me! Im really confused!
Answer:
4) 8:1
Step-by-step explanation:
well on the first perfect point there are 8 cups of raspberry juice and 1 cup of lemon-lime soda and it is comparing them in that order so since 1 is the unit it would be 8:1
Answer:
c is correct answer is yes then please
25 POINTS FOR ANYONE THAT CAN HELP ME!! Rewrite 16r^2s^2 as a power of a product.
Answer:
256rs
Step-by-step explanation:
16r^2=256r
s^2=s
*256r)(s)=256rs
Please help by today
Answer:
hmmmmm
Step-by-step explanation:
Answer:
∠3 = 108
Step-by-step explanation:
∠1 + ∠2=180 because a straight line is 180°
∠1=5x+10 and ∠2=9x+2
5x+10 + 9x+2 = 14x+12
14x+12=180
180-12=168
168/14=12
x=12
∠2 = 9x+2 = 110
180-110 = 70
∠4 = 70
∠4 + ∠3 + ∠5 = 180
∠5 = 90 -5x = 30
i messed up the process here lol but the answer is for sure right
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
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:
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.
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!
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
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)
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
What is the value of 1/2 x^3+3.4y when x=2 and y=5?
?????????????????????
Answer:
g(3) = 0
Step-by-step explanation:
You know g(x) = 3x - 9. So, to find g(3), you have to replace x by 3 on the other side.
g(3) = 3(3) - 9
You can solve this.
g(3) = 9 - 9
g(3) = 0
Answer:
0
Step-by-step explanation:
EFGH is an isosceles trapezoid. If EG=3y+19 and FH=11y-21, find the value of y.
Answer:
y = 5
Step-by-step explanation:
The diagonals of the isosceles EFGH are equal. Therefore:
EG = FH
EG = 3y + 19
FH = 11y - 21
Thus:
3y + 19 = 11y - 21
Collect like terms
3y - 11y = -19 - 21
-8y = -40
Divide both sides by -8
y = 5
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 = 18The 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.
Twice the number v + 1
Answer:
Answer:
2(c+1)
=
2c+2
Step-by-step explanation:
You 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
#SPJ2