Answer:
.26
P=(at least one high chair)
= 1−P(none of 10 with high chair)
= 1−(0.97)
10
≈ 1−0.7374
≈ 0.2626
Rounded to the nearest hundred is .26
Given: f(x) = x - 7 and h(x) = 2x + 3
Write the rule for f(h(x))
Answer:
2x - 4
Step-by-step explanation:
f(x) = x - 7
= 2x + 3 - 7
= 2x - 4
The table below shows the number of eggs needed for several servings of a recipe.
Number of
Eggs
Servings
3
18
6
36
9
54
How many eggs are needed for 90 servings?
A. 12 eggs
B. 15 eggs
O C. 18 eggs
OD. 21 eggs
Rewrite the function by completing the square. f(x)= x^2 +8x+4
Answer:
Please check the explanation.
Step-by-step explanation:
Given the function
[tex]f\left(x\right)=\:x^2\:+8x+4[/tex]
Let's rewrite the function by completing the square.
[tex]0=x^2+8x+4[/tex]
Subtract 4 from both sides
[tex]x^2+8x+4-4=0-4[/tex]
Simplify
[tex]x^2+8x=-4[/tex]
Rewrite in the form (x+a)²=b
[tex]x^2+8x=-4[/tex]
Rewrite in the form x²+2ax+a²
solve for a, 2ax = 8x
[tex]2ax=8x[/tex]
Divide both sides by 2x
[tex]\frac{2ax}{2x}=\frac{8x}{2x}[/tex]
simplify
[tex]a = 4[/tex]
Add a²=4² to both sides
[tex]x^2+8x+4^2=-4+4^2[/tex]
[tex]x^2+8x+4^2=12[/tex]
Apply perfect square formula
(a+b)²= a²+2ab+b²
[tex]\left(x+4\right)^2=12[/tex] ∵ [tex]x^2+8x+4^2=\left(x+4\right)^2[/tex]
Thus,
[tex]\left(x+4\right)^2=12[/tex]
Which of the following is a unit rate?
3:1
2:8
1:8
5:6
Answer:
3:1 is a unit rate
Step-by-step explanation:
Answer:
hi.......................
Step-by-step explanation:
stop being a selfish point grabber dude, its effed up. i needed help on that question and you screwed it up :|
Mr. Jones and Mr. Smith occupy adjacent beds in the ICU. Smith needs his IV changed every 15 hours. Jones needs his IV changed every 9 hours. The nurse changes both IVs together when a 12-hour clock reads 3:00. What does that clock read the next time the nurse changes IVs together?
a. 9:00
b. 12:00
c. 3:00
d. 6:00
Answer:
b
Step-by-step explanation:
graph the line whose x-intercept is -6 and whose y-intercept is -7
9514 1404 393
Answer:
see below
Step-by-step explanation:
When the intercepts are given, plot those and draw a line through them.
_____
Additional comment
The equation shown with the graph is the equation of a line in "intercept form." It is especially useful in a case like this where the intercepts are given.
A 98% confidence interval is found to be (32, 42). What is the margin of error?
A. 5
B. 4.9
C. 9.8.
D. 10
Answer:
A
Step-by-step explanation:
Just took the exam
Using confidence interval concepts, it is found that the margin of error is 5.
What is a confidence interval?A confidence interval (CI) is a range of estimates for an unknown parameter in frequentist statistics. A confidence interval has the format (a,b).
The margin of error is half the difference between the two bounds, that is:
M = ( b - a ) / 2
In this problem, the interval is (32, 42), hence, and the margin of error is:
M = ( 42 - 32 ) / 2 = 10 / 2 = 5
Therefore the margin of error is 5.
To know more about confidence intervals follow
https://brainly.com/question/16974109
#SPJ2
Constructing a frequency distribution for grouped data
Ten cyclists were each asked the distance in miles they biked last week.
Their responses are given below.
Complete the grouped frequency distribution for the data.
In the distribution, the frequency of a class is the number of distances in that class.
(Note that we are using a class width of 5.)
Distance in miles
Distance in miles
Frequency
3
20
6
3
7
8
13
10
18
12
6 to 10
11 to 15
16 to 20 and 1 to 5
The grouped frequency distribution for the data with the given intervals is 2, 4, 2 and 2 respectively.
Given that, ten cyclists were each asked the distance in miles they biked last week. The distance travelled by 10 cyclists is 3, 20, 6, 3, 7, 8, 13, 10, 18 and 12.
We need to complete the grouped frequency distribution for the data.
What is the grouped frequency distribution?In this type, the data is arranged and separated into groups called class intervals. The frequency of data belonging to each class interval is noted in a frequency distribution table. The grouped frequency table shows the distribution of frequencies in class intervals.
Now, the frequency distribution for the given intervals is as follows:
That is, for intervals 1 to 5 the frequency is 2.
For intervals 5 to 10 the frequency is 4.
For intervals 11 to 15 the frequency is 2.
For intervals 16 to 20 the frequency is 2.
Therefore, the grouped frequency distribution for the data with the given intervals is 2, 4, 2 and 2 respectively.
To learn more about the grouped frequency distribution visit:
brainly.com/question/4679134.
#SPJ2
38. A student wants to save more than $350 for a trip. The student has already saved $70 and has 25 weeks to save money before the trip. Which statement about the amount of money, m, the student must save each week to meet the goal is true?
A The inequality 25m + 70 < 350 represents the fact that the student must save more than $11.20 each week to meet the goal.
B The inequality 25m + 70 < 350 represents the fact that the student must save more than $265 each week to meet the goal.
C The inequality 25m + 70 > 350 represents the fact that the student must save more than $265 each week to meet the goal.
D The inequality 25m + 70 > 350 represents the fact that the student must save more than $11.20 each week to meet the goal. ZEF 4
Answer:
A.) The inequality 25m + 70 < 350 represents the fact that the student must save more than $11.20 each week to meet the goal. I hope this helped u :)
Step-by-step explanation:
25 x 11.20 = 280
280+70=$350
but since the student wants to save more than $350 that's why it says the student must save MORE than $11.20 each week :)
5. Which of the following graphs represents the slope of -1/3
Answer:
A
Step-by-step explanation:
I found out bc I got the answer wrong then it gave me the right answer which is A:)
Evaluate: f(x) = 2x^2 + 6x - 4; f(-5) *
1
-1 46
[tex]f(x)=2x^2+6x-4[/tex]
Find the f(-5) by substituting x = -5 in the equation.
[tex]f(-5)=2(-5)^2+6(-5)-4\\f(-5)=2(25)-30-4\\f(-5)=50-34\\f(-5)=16[/tex]
Therefore, the answer is f(-5) = 16.
A student sees a bird on top of a 12m high light pole. The student is standing 20m from the base of the pole. At what angle must the student incline her camera to take a picture of the bird?
Answer: 31 degrees
Step-by-step explanation:
The student must incline her camera at 31 degrees to take the picture of bird.
Angle of inclination:The angle of inclination of a line is the angle formed by the intersection of the line and x-axis.
According to the given question
height of pole = 12m
distance of student from the pole = 20m
Let the angle of inclination be x degrees.
therefore
for the angle of inclination
In ΔABC we have
[tex]tanx=\frac{12}{20}[/tex]
[tex]tanx=\frac{3}{5}[/tex]
[tex]x=tan^{-1} \frac{3}{5}[/tex]
[tex]x = tan^{-1}( 0.6)[/tex]
x = 31 degrees
Hence, the student must incline her camera at 31 degrees to take the picture of bird.
Learn more about angle of inclination here:
https://brainly.com/question/14983337
#SPJ2
please help will mark BRAINLIEST
а) 6x = 7y
Can someone help
Answer:
36 x 2 - 49 y 2
Step-by-step explanation:
6 x (6x) +6 x ( - 7 y ) + 7 y (6x) +7 y ( - 7 y)
say a number between 1 and 10 if u guss right u get brainlist
what fraction is equal to 5%
Answer:
5/100
1/20
Step-by-step explanation:
Answer: 5/100
Step-by-step explanation:
Tell whether the relation is a function. Explain.
Please give me the correct answer
Answer: Many people assume that because DNA is so small, we can't see it without powerful microscopes. But in fact, DNA can be easily seen with the naked eye when collected from thousands of cells.
30 PTS
a. 59
b. 36.9
c. 53.1
d. 30.1
Answer:
c)
Step-by-step explanation:
29. Which of the following expressions will result in a real answer after being simplified? Select all that apply.
A. (4+5i)(4-5i)
B. (4+91)(41-9)
C. (3+2i)(3-2i)
D. (2i+5i) (21-3)
E. (312+7i) (312-7i)
F. (3i2+7i)(312+7i)
Answer: A, B, C, and E
Step-by-step explanation:
If both sides are real numbers, then the product will be a real number.
If in at least one of the sides we have a complex number, then the product will be real if:
The other number is zero.
The other number is the conjugate of the first.
This is when:
Suppose we have a number:
z = a + b*i
The conjugate will be:
w = a - b*i
And the product between them is:
(a + b*i)*(a - b*i) = a^2 + a*b*i - a*b*i + b^2 = a^2 + b^2
Then the options that will have a real answer are:
A. (4+5i)(4-5i) = 4^2 + 5^2 = 16 + 25 = 41
B. (4 + 91)*(41 - 9) = 3040
C. (3 + 2*i)*(3 -2*i) = 3^2 + 2^2 = 9 + 4 = 13
E. (312 + 7i)*(312 - 7i) = 312^2 + 7^2 = 97,393
i need some help here
Answer:
the answer above is correct
Answer:
boxes
7
8
58.1
119.7
Step-by-step explanation:
look when u solve this it equals
8.3(7)+7.7(8)=119.7 but it tells u to add 61.6 so u go backwards subtract
119.7-61.6
58.1
just plug in
8.3(7)+7.7(8)=____+61.6
plug in
58.1+61.6
119.7
What is the length of the unknown leg in the right triangle
Answer:
i think it might be 15m
Step-by-step explanation:
Un número cualquiera y número en lenguaje algebraico.
Answer:
No lo sé, pero intentaré encontrar una respuesta
Step-by-step explanation:
(X-2) is a factor of x^4+2x^3-7x^
Answer:
x−2x4+2x3−7x2−8x+12=x3+4x2+x−6
The rational root theorem suggests that other possible roots may be -6, 6, -3, 3, -2, 2, -1, and 1. It turns out that x=-2x=−2 is a root, since (-2)^3+4(-2)^2+(-2)-6=0(−2)3+4(−2)2+(−2)−6=0 , so x+2x+2 is also a factor and we have
\dfrac{x^4+2x^3-7x^2-8x+12}{(x-2)(x+2)}=x^2+2x-3(x−2)(x+2)x4+2x3−7x2−8x+12=x2+2x−3
Finally, we can factorize the remaining quotient easily:
x^2+2x-3=(x+3)(x-1)x2+2x−3=(x+3)(x−1)
so the other factors are x+2x+2 , x+3x+3 , and x-1x−1 .
A florist makes a bouquet made up of 7 roes 12 carnations and 5 lilies what is the ratio of roses to flowers that are not roses
answear is 7/17 hope its useful
Sarah’s was given 12 cups of bird seed for 3 bird feeders. She filled the bird feeders for a whole week. How many cups of seeds did sarah put in each bird feeder each day?
Answer:
1.7 everyday
Step-by-step explanation:
Which equation is represented by the graph below
A table of values of a linear function is shown below.
Answer:
Slope is -2
y intercept is -3
Equation :y=-2x-3
Step-by-step explanation:
Select the best answer for the question.
18. Simplify 12 - (-8) x 4 = ?
O A. 44
B. 80
O C. 16
O D.-20
Mark for review (Will be highlighted on the review page)
<< Previous Question
Ne Question >>
g(x) = x3 - 4
h(x) = x2 + 2
Find h(-2) - g(-1)
Answer:
11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
g(x) = x³ - 4
h(x) = x² + 2
h(-2) is x = -2
g(-1) is x = -1
Step 2: Find h(-2) - g(-1)
Substitute: ((-2)² + 2) - ((-1)³ - 4)Exponents: (4 + 2) - (-1 - 4)Add/Subtract: 6 - (-5)Subtract: 11