Using the z-distribution, it is found that the 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies is (143, 149).
We are given the standard deviation for the population, which is why the z-distribution is used to solve this question.
The information given is:
Sample mean of [tex]\overline{x} = 146[/tex]. Population standard deviation of [tex]\sigma = 12[/tex]. Sample size of [tex]n = 65[/tex].The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
The critical value, using a z-distribution calculator, for a 95% confidence interval is z = 1.645, hence:
[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 146 - 1.645\frac{12}{\sqrt{35}} = 143[/tex]
[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 146 + 1.645\frac{12}{\sqrt{35}} = 149[/tex]
The 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies is (143, 149).
A similar problem is given at https://brainly.com/question/16807970
Find the length of the third side. If necessary, write in simplest radical form.
Answer:
third side = 6
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let the third side be x , then
x² + 4² = (2[tex]\sqrt{13}[/tex] )²
x² + 16 = 52 ( subtract 16 from both sides )
x² = 36 ( take square root of both sides )
x = [tex]\sqrt{36}[/tex] = 6
The length of a rectangle is three times its width.
The perimeter of the rectangle is 24 cm.
Calculate the area of the rectangle.
Answer:
A = 27 cm²
Step-by-step explanation:
let 'w' = width
let '3w' = length
P = 2l + 2w
24 = 2(3w) + 2w
24 = 6w + 2w
24 = 8w
w = 3
l = 3(3) or 0
A = lw
A = 3(9)
A = 27
what is 18,678,789 times 67,897,867
What is an equation of the line that passes through the point (−8,−1) and is parallel to the line x-4y=4x
Answer:
y = -3/4x - 7
Step-by-step explanation:
Parallel lines have the same slope.
Solve for y in the equation to find the slope.
x - 4y = 4x
-4y = -x + 4x
-4y = 3x
y = 3/-4 x = -3/4x So the slope is -3/4 which is the coefficient of the
x term
Substitute the slope(m) = -3/4 and point (-8, -1) into y = mx + b to solve for "b"
y = mx + b
-1 = -3/4(-8) + b
-1 = 6 + b
-1 - 6 = b
-7 = b
The equation of the new line: y = mx + b
y = -3/4x - 7
3923 divided by 26 pls help
Answer:
150.884615385
Step-by-step explanation:
3923÷26=150.8846153846153
what is the least common factor for 1,000 and 150
Answer:
least common multiple: 1000
greatest common factor is 50
least common factor would be 1, but that isn't really a common thing to calculate
Step-by-step explanation:
[ASAP] Which graph represents a direct variation?
Find the perimeter. Simplify your answer.
Answer:
8v + 4Step-by-step explanation:
Perimeter = 3v + 2 + 3v + 2 + 2v + 8v + 4
= 8v + 4...ans
Hope it Helps you!!Please help! 20 Points! Will give brainliest if correct!
Answer:
first one
Step-by-step explanation:
lemme know if im right
Answer:
first one I think is right
HELPP HURRYYYY !!
have to be turned in soon
Answer:
Last option: Angles 5 and 9
Step-by-step explanation:
Angles 3 and 5 are NOT corresponding angles; instead they are alternate angles.
Angles 1 and 7 are NOT corresponding angles; instead they are vertically opposite angles.
Angles 11 and 14 are NOT corresponding angles; instead they are adjacent angles on a straight line.
Angles 5 and 9 are corresponding angles.
What’s 568 divided by 7
Which of the following lists is in order from smallest to largest?
The answer is
1.1%, 0.1, 1/9, 2/11
Step-by-step explanation:
convert the fractions to decimals, the percentage to decimal.
then just order the numbers from smallest to biggest
1/9= 0.11
2/11=0.18
1.1%/100= 0.011
the locus of all points that are the same distance from (3,-2) and (3,4) is one straight line. Draw this straight line
Answer:
No answer i can provide
Step-by-step explanation:
If you need to make a line on a graph, you need to plot at least 2 points. Luckily, the two points have been given.
Plot the points on your graph. for your first coordinate, go 3 over and down 2. for your second point, go over 3 and up by 4. for the line, draw it through your 2 points.
Hope this helps!
Answer:
line is y = 1
Step-by-step explanation:
the question is talking about loci, in this case 2 point
these 2 points are (3,-2) and (3,4)
draw a line to connect these to points and bisect the line.
to do this use a compass : put the compass more than half way and place it one the first point - draw an arc .
then draw another arc at the sencond point
were the 2 arcs meet draw a line - this straight line will be the answer.
y = 1
A former Olympic platform diver had a kinetic energy of 12,300 J prior to hitting the surface. If the divers speed is 17 m/s, what is their mass?
Answer:
Step-by-step explanation:
The picture shows the $4.88 Josephine spent on a package of 4 pens.
Drag the money below to the box to show how much each pen cost.
Answer:
4 dollars 8 dimes 8 pennies
Step-by-step explanation:
Answer:
Each pen costs $1.22, which means that you would have to drag a $1 bill, 2 dimes, and 2 Penny's into the box.
How do you solve , (x+3)2 ?
Answer:
Distributive property of multiplication.
Step-by-step explanation:
2(x+3)
Multiply 2 times x, and 2 times 3 so that you get:
2x+6
Answer:
(x+3)2= 2 × x 2 × 3= 2x + 6Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
I need help! Show all the work, step by step.
Answer:
z = [tex]\frac{4x}{3y}[/tex]
Step-by-step explanation:
x = [tex]\frac{3yz}{4}[/tex] ( multiply both sides by 4 to clear the fraction )
4x = 3yz ( isolate z by dividing both sides by 3y )
[tex]\frac{4x}{3y}[/tex] = z
what is 75 percent of 18
Answer:
13.5
Step-by-step explanation:
Timmy is 6 feet tall and casts a 10-foot shadow. Nikki casts a 9-foot shadow. How tall is Nikki?
Answer:
5.4 im pretty sure
Step-by-step explanation:
It takes 3/4 tsp. of vanilla to make a batch of cookies. How many tsp. would I needed for 4 batches of cookies?
Answer:
3/1 tsp. or 3 tsp.
Step-by-step explanation:
3/4 times 4
Jake sold 39 tickets to the school fair and jeanna sold 12 tickets. What is the ratio in simplest form of the number of tickets jeanna sold to the number of tickets jake sold?
Step-by-step explanation:
12 to 39 divide each by 3
4 to 13 is the simpliest ratio
f – 4 ≤ 9 for f. solve for the
Answer:
f>36
Step-by-step explanation:
9
<
f
4
Multiply both sides by
4
.
9
⋅
4
<
f
4
⋅
4
Simplify.
Tap for more steps...
36
<
f
Rewrite so
f
is on the left side of the inequality.
f
>
36
The result can be shown in multiple forms.
Inequality Form:
f
>
36
Interval Notation:
(
36
,
∞
)
Answer:
f={∞,13)
Step-by-step explanation:
f - 4 ≤ 9
f - 4-9 ≤ 0
f-13 ≤0
f=13
13- 4 ≤ 9
9 ≤ 9 √(f>13) f-4 ≤9
Find a number less than 13
f=12
12-4 ≤9
8≤9 √(f<13) f-4 ≤9
Find a number greater than 13
14
14-4 ≤9
10 ≤9 ×Kerry scored a total of 205 points last season by making
a total of 120 baskets. Some of the baskets were 1-point
free throws (t), and the rest were 2-point field goals (g).
Which pair of equations models this situation?
A.) t+2g=205
t+g=120
B.)t+g=205
t+2g=120
C.)t+g=205
t+g=120
D.)t+2g=205
t+2g=120
Answer:
a
Step-by-step explanation:
Answer:
A.) t+2g=205
t+g=120
Step-by-step explanation:
We know that Kerry scored 205 points by making 120 basket.
t+g=120 { Because some of the basket were 1-point free
t+2g= 205 ( Throws (t) and the rest were 2-point field goals (g)
22 meters per second in kilometers per hour.
Answer:
79.2 kilometres per hour
Step-by-step explanation:
1 km = 1000 m
1 hr = 3600 sec. To convert km/hr into m/sec,
We multiply the speed which in this case is 22m/s
by 3.6 giving 79.2 kmh. Therefore 22m/s into kilometer is 79.2 kmh.
There are 4 red marbles, 2 white marbles, and 2 black marbles in a bag. Consider the following compound events. What is the probability that marina will pick two red marbles if she returns the first marble to the bag
Answer:
8
Step-by-step explanation:
eight more anakd;odslakhas sfjjjsjas
Someone plz help me :(
Answer:
The answer is a
Step-by-step explanation:
Like and give 5 star rating
Answer:
8/3 miles over 8miles
8 mi/3 hrs = 8/3 mi/hr = 2.66666.
30 - 6 (x + 3) + 2x = 8
Answer:
I believe the correct answer would be the first X=1 and the second X=1
Basically they both equal 1
Answer:
X=1
Step-by-step explanation:
William Kamkwamba, the author of The Boy Who Harnessed the Wind, structured his memoir by first telling about the day the windmill he built first generated electricity, then by telling about the events that led him to build the windmill, and finally by telling about what happened to him after he built the windmill.
This is an example of which type of text structure?
Why does Kamkwamba begin with the day the windmill first generated electricity?
The kind of text structure that was utilized by William Kamkwamba in the story, "The Boy Who Harnessed the Wind" is the Sequential text structure.
William Kwakwamba began with the day the windmill first generated electricity because it was remarkable and is, therefore, the first detail to note in the story.
To understand why this is the right text structure, we need to first understand what text structure is and the characteristics of a sequential structure.
What is Text Structure?Text structure refers to the organization of writing to convey intended meanings.
The sequential text structure follows these processes:
It is a step-by-step account of the events in the story.It can be identified by words such as first, then, and finally.Thus given these explanations of what the sequential text structure is, we can classify the excerpt from William Kamkwamba's "The Boy Who Harnessed the Wind" as sequential.
Learn more about text structure here:
https://brainly.com/question/12053427
Convert 8 yards into meters. Round your answer to the nearest tenth.
Answer:
7.3 meters
Step-by-step explanation:
use the formula:
meters= yards x 0.9144.
8 yards x 0.9144 = 7.3152 meters
which rounded to the nearest tenth is 7.3152
Answer:
7.3
Step-by-step explanation:
→ First find how many yards in one meter
1 yard = 0.9144 meters
→ Multiply 0.9144 by 8
0.9144 × 8 = 7.3152
19 is 5 times a number - 2
I really need the equation
Step-by-step explanation:
19=5x-2 19+2=5x 21=5x 21÷5=x x=4.2