Answer:
50.82
Step-by-step explanation:
f(x) = -4x2 + 10
Find f(-2)
Answer:
f(-2) = -6
Step-by-step explanation:
In the expression, to get f(-2);
we simply substitute the value of x with -2
We have this as;
f(-2) = -4(-2)^2 + 10
f(-2) = -4(4) + 10
f(-2) = -16 + 10
f(-2) = -6
On a highway, a random sample is taken of the speed, in mph, of 50 cars. A mean speed of 61.8 mph is calculated with a margin of error of +2.3 for a 95% confidence interval What is the interval estimate of the population mean?
A) 58.7 <h<64.9
B)59.5<h<61.8
C)59.5<h<64.1
D)61.8<h<64.1
The interval estimate of the population mean when a random sample is taken of the speed on highway is 59.5<h<64.1. Option C is correct.
What is margin of error?The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.
The interval estimate of the population mean can be found out using the following formula:
[tex]\overline X\pm MOE[/tex]
Here, [tex]\overline X[/tex] is the average mean, and the MOE is the margin of error.
On a highway, a random sample is taken of the speed, in mph, of 50 cars.
A mean speed is 61.8 mphThe margin of error is +2.3 The confidence interval is 95%Put the values in the above formula as,
[tex]61.8\pm 2.3\\59.5,641[/tex]
Thus, the interval estimate of the population mean
[tex]59.5 < h < 61.8[/tex]
Hence, the interval estimate of the population mean when a random sample is taken of the speed on highway is 59.5<h<64.1. Option C is correct.
Learn more about the margin of error here;
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which graph represents y=3x+2
Step-by-step explanation:
The general form of a straight line is y = mx + c, where m is the line's slope and c is the y-intercept.
For y = 3x + 2, the slope is positive 3 and the y-intercept is 2. The line should rise up and pass through the point (0, 2).
We are between Options B and C.
In Graph B, the line raises by 4 units for every 2 units across. Hence its slope is 4/2 = 2.
In Graph C, the line raises by 3 units for every 1 unit across. Hence its slope is 3/1 = 3.
Since we want 3 as the slope,
The answer is Option C.
The graph C represents y=3x+2
What is a Graph?
A diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.
How to determine?The general form of a straight line is y = mx + c, where m is the line's slope and c is the y-intercept.
For y = 3x + 2, the slope is positive 3 and the y-intercept is 2. The line should rise up and pass through the point (0, 2).
We are between Options B and C.
In Graph B, the line raises by 4 units for every 2 units across. Hence its slope is 4/2 = 2.
In Graph C, the line raises by 3 units for every 1 unit across. Hence its slope is 3/1 = 3.
Since we want 3 as the slope,
The answer is Option C.
Learn more about Graphs:
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Plz help I’m dumd and I can’t answer it
Answer:
11
Step-by-step explanation:
25% is 0.25 or 1/4
44 x 0.25 =11
Suppose that 20% of students at high school A and 18% of students at high school B participate on a school athletic team. Independent random samples of 30 students from each school are selected and asked if they participate on a school athletic team. Let ˆ p A represent the sample proportion of students at school A who participate on a school athletic team and ˆ p B represent the sample proportion of students at school B who participate on a school athletic team.
What is the mean of the sampling distribution of ˆ p A − ˆ p B ?
Answer:
0.02
Step-by-step explanation:
High schools A :
Percentage of participants in on the school athletic team = 20%
Pa = 20% = 0.2
High school B:
Percentage of participants in on the school athletic team = 18%
Pa = 18% = 0.18
The mean of sampling distributon is :
Pa - Pb
0.2 - 0.18
Hence, Mean of sampling distribution is 0.02
How many cubic meters of water are required to fill a rectangular swimming pool 15m long and 10 m wide which is 2m deep throughout.How many liters is that?
Answer:
300,000 liters
Step-by-step explanation:
Let us have the measurements in cm
100 cm = 1 m
so the measurements are multiplied by 100
we have this as;
1500 by 1000 by 200
The volume is the product of the 3
This is :
1500 * 1000 * 200 = 300,000,000 cm^3
Mathematically, 1 liter = 1000 cm^3
300,000,000 cm^3 will be ;
300,000,000/1000 = 300,000 liters
Will give brainlist! The area of a swimming pool covers 350 square feet if the height of the pool if 5 feet what is the volume.
1138 in expanded form
Answer:
(see below)
Step-by-step explanation:
To put 1138 in expanded form, you should first know that expanded form is separating a number into its place values. Here's what I'm talking about:
1 in expanded form is 1.
11 in expanded form is (10 + 1).
111 in expanded form is (100 + 10 + 1).
So that means that:
1138 in expanded form is (1000 + 100 + 30 + 8).
Find the GCF 8x^3-12x^2+4x
Answer:
4x
Step-by-step explanation:
There are 15 students not going on the field trip. That is 6% of all
of the 6th graders, How many 6th graders are there?
Answer:
250
Step-by-step explanation:
15=6%
?=1%
15/6=2.5
2.5=1%
1%=1/100
2.5 x 100=
250
Identify the figure below. Select all names that apply.
Image shows a four-sided figure with opposite sides parallel and equal in length.
A.
quadrilateral
B.
parallelogram
C.
rhombus
D.
square
E.
trapezoid
Answer:
b and d
Step-by-step explanation:
One of the legs of a right triangle measures 1 cm and its hypotenuse measures 8 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
about 7.8
Step-by-step explanation:
a^2+b^2=c^2
1^2+b^2=8^2
2+b^2=64
B^2=62
B= about 7.8
Hey can someone please help me lol
Answer:
49.53 nautical miles
Step-by-step explanation:
Adding 36 and 21 we get 57 miles.
57 converted to nautical miles would be 49.53
SOMEBODY HELP PLZ IM STUCK
The ratio of teachers to students at Priory School is 2:27
What is school's total population if there are 42 staff
Answer:
609
Step-by-step explanation:
ratio of teachers to students at Priory School =2:27
Let X= total number of both the students and the teacher
Ratio of teacher=( 2/29)X
Ratio of student is (27/29 )X
But total number of teacher = 42
2/29 ×X =42
2X= 42×29
2X=1218
X= 609
Hence, school's total population is 609
What are the solutions of each equation?
a. x2 + 4 = 4
b. x2 + 16 = 0
c. x2 − 49 = 0
Answer:
a. x=0
b x=-8
c x=49/2
Step-by-step explanation:
a. x2+4=4
subtract 4 from both sides
x2=0
multiply
2x=0
divide by 2
x=0
b x2 + 16 = 0
multiply
2x+16=0
subtract both sides by 16
2x=-16
divide by 2
x=-8
c x2 − 49 = 0
multiply
2x-49=0
add 49 to both sides
2x=49
divide both sides by 2
x=49/2
Answer:
a. X= 0
b. X= undefined or X=4i
c. X= + or - 7
Step-by-step explanation:
a. x² + 4 = 4
when 4 goes to the other side by negative sign it will cancel the other 4. at they equal in magnitude and opposite in sign.
then x² = 0 , where √x²=√0 , finally x=0
b. x² + 16 = 0
16 goes to other side by negative sign too
x² = -16 , where √x²=√-16 , finally x= undefined
due to the negative sign under thr square root.
at √-1 = i then x can be 4i
c. x² - 49 = 0
-49 go to the other side by positive sign
x² = 49 , where √x² = √49 , finally x= + or - 7
where negative sign is neglected at even power
example:
(-7)²=(7)²
Write an equation of the line with the given slope and y-intercept.
slope: −3
y-intercept: 5
y=
Answer:
Y=-3X+5
Step-by-step explanation:
Can somebody help me with 17 and 18 please
Choose two pairs of alternate interror angles.
Answer: angle 5 and angle 10
angle 8 and angle 11
hope this helps!
Which of the following demonstrates the distributive property?
a) 3+ 5 = 5 + 3
b) 6+ (-6) = 0
c) (3x + 8) + 6 = 3x + (8 + 6)
d) -(x-3) = -x + 3
Answer:
c one demonstrates the distributive property
Which answers would be possible first steps?
Answer:
e i think or find out what x =
If you ran a lemon aide stand and you sold 3 cups of lemonade to each person at .50 cents per cup,
how much money did you make selling to 25 people?
Answer:
$37.50
Step-by-step explanation:
{25(3)}0.50
-25 people times 3 cups for each person= 75
-0.50 times the amount of cups= 37.50
You would make 37 dollars and 50 cents.
- Question 11
Mrs. Pitoya has 30 apples and is buying more apples in crates containing 20 apples each. She needs 130 apples for a harvest celebration at her school,
Which equation and solution correctly represent x, the number of crates of apples Mrs. Pitoya needs to buy?
Answer:
Mrs pitoya has to buy 9 crates of apples
Answer: She only needs to buy 5 more crates of apples.
30 + 20(x) = 130
30-30+20(x)=130-30
20x = 100
x = 5
Step-by-step explanation:
17. The base of a parallelogram is 10 meters. The height is one fourth of the base. Find the area of the parallelogram.
pleaaeee help
Answer:
25m2
Step-by-step explanation:
b = 10
10 divided by 4 = 2.5
h = 2.5
2.5 times 10 = 25m2
What is the slope of the line that passes through the points (-3, 5) and (1, 15)
A jet travels 470 miles in 2 hours. At this rate, how far could the jet fly in 11 hours?
Answer:
The jet will cover 2585 miles in 11 hours.
Step-by-step explanation:
Given that:
Distance travelled by jet in 2 hours = 470 miles
Speed of jet = [tex]\frac{Distance}{Time}[/tex]
Speed of jet = 470/2
Speed of jet = 235 miles per hour
Time = 11 hours
Distance travelled in 11 hours = Speed * Time
Distance = 235 * 11
Distance = 2585 miles
Hence,
The jet will cover 2585 miles in 11 hours.
No Solutions 2x + 5 + 2x + 3x = One Solution 2x+5+ 2x + 3x = Infinitely Many Solutions 2x + 5 + 2x + 3x =
Answer:
2x+5+2x +3x=7x+5 2x +5+ 2x + 3x = 7x+5
Step-by-step explanation:
Simplify by expressing with radicals. ^6radical x^2 y^6
Subtract. Express your answer in lowest terms.
8 1/2 - 2 1/6
Answer:
[tex]6\frac{1}{3} or \frac{19}{3}[/tex]
Step-by-step explanation:
Rewriting our equation with parts separated
=8+1/2−2−1/6
Solving the whole number parts
8−2=6
Solving the fraction parts
1/2−1/6=?
Find the LCD of 1/2 and 1/6 and rewrite to solve with the equivalent fractions.
LCD = 6
3/6−1/6=2/6
Reducing the fraction part, 2/6,
2/6=1/3
Combining the whole and fraction parts
6+1/3=6 1/3
PLEASE NOTICE, IF YOU HELP ILL GIVE 50 POINTS AND BRAINLIEST
Answer:
See proof below.
Step-by-step explanation:
Statements Reasons
1. Seg. DE congr seg GF 1. Given
2. <1 congr. <2 2. Given
3. DE || GF 3. Theorem: If 2 lines are cut by a transversal such that alt int angle are congruent, then the lines are parallel
4. DEFG is a parallelogram 4. Theorem: If a quadrilateral has two sides that are congruent and parallel, then it is a parallelogram.