Answer:
[tex]3.0046022*10^{7} \\[/tex]
Step-by-step explanation:
30,046,022 = [tex]3.0046022*10^{7} \\[/tex]
Ms. Green has 3 % yards of fabric. One bandana requires 1/4 of a yard of fabric. How many bandanas can
she make until she runs out of fabric?
Answer:
12
Step-by-step explanation:
number of bandana that can be made = total yards of fabric ÷ yards needed to make one bandanna
3 ÷ 1 /4
= 3 x 4 = 12
A manufacturer reports that the mean lifetime of its lithium batteries is 1100 hours, but there are customer complaints that the battery life is lower. A consumer advocate group selects 25 of these batteries at random and finds the mean lifetime to be 1080 hours with a standard deviation of 80 hours. The sample data are approximately symmetric and unimodal with no outliers. Check conditions, show how the test statistic is calculated. Test using a 10% significance level. State your conclusion in the context of the problem.
Answer:
The p-value of the test is 0.1117 > 0.1, which means that there is not significant evidence at the 10% significance level that the battery life is lower than 1100 hours.
Step-by-step explanation:
A manufacturer reports that the mean lifetime of its lithium batteries is 1100 hours, but there are customer complaints that the battery life is lower.
At the null hypothesis, we test that the mean lifetime of the battery is of 1100 hours, that is:
[tex]H_0: \mu = 1100[/tex]
At the alternate, we test that is is lower, that is:
[tex]H_a: \mu < 1100[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
1100 is tested at the null hypothesis:
This means that [tex]\mu = 1100[/tex]
A consumer advocate group selects 25 of these batteries at random and finds the mean lifetime to be 1080 hours with a standard deviation of 80 hours.
This means that [tex]n = 25, X = 1080, s = 80[/tex]
Test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{1080 - 1100}{\frac{80}{\sqrt{25}}}[/tex]
[tex]t = -1.25[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean below 1080, which is found using a left-tailed test for t = -1.25, with 25 - 1 = 24 degrees of freedom.
With the help of a calculator, this p-value is of 0.1117
The p-value of the test is 0.1117 > 0.1, which means that there is not significant evidence at the 10% significance level that the battery life is lower than 1100 hours.
(no links please and than you! :))
Answer:
Line D represents a proportional relationship.
Step-by-step explanation:
In an easy way to explain what a proportional relationship is, it is basically a line graph that passes through the origin point. When a line graph passes through the origin point (0,0), it is proportional.
Other graphs do not intersect the origin points so they are not proportional.
Answer:
Line D represents a proportional relationship.
Step-by-step explanation:
In an easy way to explain what a proportional relationship is, it is basically a line graph that passes through the origin point. When a line graph passes through the origin point (0,0), it is proportional.
Other graphs do not intersect the origin points so they are not proportional.
Factor the following the expression,
-15m -25
Answer:
[tex]-5(3m+5)[/tex]
Step-by-step explanation:
Factor by grouping:
'-5' is a common factor.
Factoring out '-5'....
[tex]-15m-25\\\\\boxed{-5(3m+5)}[/tex]
Hope this helps.
Please help with this question so I'm going to fail math
Answer:
108: 4x3^3, 3^2x12, 6^2x3
96: 2^5x3, 2^3x122^4x6
Step-by-step explanation:
Write an integer that represents the situation. Do not type any units, labels, or spaces on your answer will be scored as incorrect. The running back gained five yards on a play in football.
Answer:
The integer that represents the situation is 5.
Step-by-step explanation:
When you gain 5 yards, that is considered a positive increase in value.
You can either put 5 or +5 because they indicate the same positive value.
What is 94.53 ÷ 2.3?
O 41.1
O4.11
O 411
O 0.411
I need help please this isath i need my grade thx alot
Answer:
A, -475ft
Step-by-step explanation:
Answer: -475 ft
Step-by-step explanation: -95 x 5= -475
Suppose A and B are independent events. If P(A) = 0.6 and P(B) = 0.85, what is P(A and B)?
A. .34
B. .51
C. .17
D. .68
Answer:0.51 I just took the test
Step-by-step explanation:
Gift wrappers tend to have competitions on who can wrap more presents in a day. If Benjamin wrapped 9 less presents than Christopher, who wrapped x presents, choose the expression that shows how many presents Benjamin wrapped.
Answer:
x-9.
the expression that shows how many presents benjamin wrapped would be x-9
WHATS THE ANSWER?? answer ASAP NO FILE
Answer:
a
Step-by-step explanation:
it is a because the shape is moving to the side
Answer:
The answer is B!
There are 44 rabbits. What is 44 rounded to the nearest 10?
Answer:
4
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
44 is closer to 40 than 50 because 44-40 = 4, 50-44=6 and 4<6
which energy change happens when we switch on a battery-powered radio
If f(x) = x3 – 6x2 – 45x + 50 and X – 10 is a factor of f(x), then find
all of the zeros of f(x) algebraically.
Answer:
x = 1 or x = -5 or x = 10
Step-by-step explanation:
f(x) = x³ – 6x² – 45x + 50 = (x² + 4x -5) (x - 10) = (x - 1) (x + 5) (x - 10)
(x - 1) (x + 5) (x - 10) = 0
x = 1 or x = -5 or x = 10
What is the solution of -21 = n – 8?
a. n = -168
b. n = -29
c. n = -13
d. n = 168
How many feet are in 5 yards
Answer:
15 feet
Step-by-step explanation:
Forumula: Multiply the length value by 3.
5*3= 15 feet
Hope this helped! :)
Answer:
15 feet
Step-by-step explanation:
okay so in 1 yard is 3 feet
is it is 5 yards so there is 15 feet
Given the series 2 + two-thirds + StartFraction 4 Over 9 EndFraction + StartFraction 8 Over 27 EndFraction + StartFraction 16 Over 81 EndFraction + StartFraction 32 Over 243 EndFraction + ellipsis, which partial sums are correct? Check all that apply.
edge
Answer:
A and C
Step-by-step explanation:
Edge 2021
The partial sums are correct are Option A and Option C. That is: (2) and (28/9).
What is a partial sum?A partial sum (simply put) refers to the sum of the various parts that make up a sequence.
For example, in the above sequence given as:
2 + (2/3) + (4/9) + (8/27) + (16/81) + (32/243) + ...
A partial sum would be:
2 + (2/3).
In this case, thus,
Learn more about partial sums at:
https://brainly.com/question/17464148
#SPJ6
11/15 = w — 8/15 help me
Answer:
w=19/15
Step-by-step explanation:
11/15 = w - 8/15 |*15
11 = 15w-8 => 15w=8+11 => 15w=19 => w=19/15
Angel signed up for a streaming music service that costs $11 per month. The service allows Angel to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $0.50 per song. How much total money would Angel have to pay in a month in which he downloaded 25 songs? How much would he have to pay if he downloaded ss songs?
Answer: $23.5
Step-by-step explanation:
0.5(x) + 11
0.5(25) + 11
$23.5
Naitik exercised for
2/3 hours ,while Aryan exercised for
3/4
hours.Who
exercised for a longer time? step by step answer
=======================================================
Explanation:
Use your calculator to convert each fraction into decimal form
2/3 = 0.67 approximately
3/4 = 0.75 exact
The decimal 0.75 is larger than 0.67, in which we can think of it like saying "75 is larger than 67".
So 0.67 < 0.75 which leads to 2/3 < 3/4.
Aryan spent more time exercising.
--------------
We could stop there, but if you wanted to know how much longer he spent exercising, then we subtract the two fractions to get
3/4 - 2/3
9/12 - 8/12
(9-8)/12
1/12
Aryan spent 1/12 of an hour longer exercising compared to Naitik
1/12 hour = (1/12)*60 = 60/12 = 5 minutes
He spent 5 extra minutes exercising.
----------------
Notes:
2/3 hours = (2/3)*60 = 40 minutes3/4 hours = (3/4)*60 = 45 minutes45-40 = 5 extra minutes of exerciseFind the m2.
O a. m Q = 30 degrees
O b.mxQ = 60 degrees
O c. m Q = 70 degrees
O d. m2Q = 75 degrees
9514 1404 393
Answer:
d. m∠Q = 75 degrees
Step-by-step explanation:
The sum of the angles in a triangle is 180°. This triangle is marked to show it is an isosceles triangle, so the two base angles have the same measure.
∠P +∠Q +∠R = 180°
x° +(2x +15)° +(2x +15)° = 180°
5x = 150 . . . . . . . . . . . . . . . . . . . divide by °, subtract 30
x = 30 . . . . . . . . . . . . . . . . divide by 5
m∠Q = (2x +15)° = (2(30) +15)°
m∠Q = 75°
What is the solution to the equation below round your answer to two decimal decimal places log4 x=2.1
A. x=8.40
B. x=18.38
C. x=8.17
D. x=19.45
Answer:
B 18.38
Step-by-step explanation:
log4x = 2.1
logx/log4 = 2.1
logx = log(4) x 2.1
logx = 1.2643
x = antilog(1.2643)
x = 18.38 (to 2 d.p)
Answer:
X=18.38
Step-by-step explanation:
In clinical trials of a newly developed cold medicine, it was found that 45 out of 200 individuals that took the new medicine (Group 1) experienced an upset stomach as a side effect and 33 out of 150 individuals that took a placebo (Group 2) experienced an upset stomach. Test to see if the new drug produced a significantly higher proportion of individuals experiencing upset stomach. Use a 0.01 level of significance. Select the correct alternative hypothesis and decision.
a. H: Pi≠P2; Do not reject the null hypothesis.
b. H1: p1>P2; Do not reject the null hypothesis.
c. H: Pi > p2; Reject the null hypothesis.
d. H1: p. e.) Hi: p1≠P2; Reject the null hypothesis.
f. H: P1
Answer:
Step-by-step explanation:
Group 1 Information:
sample size : n₁ = 200
individuals with stomach as a side effect x₁ = 45
p₁ = 45 / 200 p₁ = 0,225 then q₁ = 1 - p₁ q₁ = 0,775
Group 2 Information:
sample size : n₂ = 150
individuals with stomach as a side effect x₂ = 33
p₂ = 33/150 p₂ = 0,22 q₂ = 0,78
Hypothesis Test:
Null Hypothesis: H₀ p₁ = p₂
Alternative Hypothesis Hₐ p₁ > p₂
The alternative hypothesis indicates that the test is a one-tail test to the right
Significance level is α = 0,01 ( confidence interval 99%)
From z-table we get z(c) for that α z(c) = 2,32
To calculate z(s)
z(s) = ( p₁ - p₂ ) / EED
EED = √ ( p₁*q₁)/n₁ + ( p₂*q₂)/n₂
EED = √ ( 0,225*0,775)/200 + (0,22*0,78)/150
EED = √ 0,0008718 + 0,001144
EED = 0,045
z(s) = ( 0,225 - 0,22 ) / 0,045
z(s) = 0,005 / 0,045
z(s) = 0,11
Comparing z(s) and z(c)
z(s) < z(c) 0.11 < 2.32
Then z(s) is in the acceptance region. We accept H₀ . We don´t have evidence to support differences between the two groups.
Complete the congruence statement.
Answer:
∠K ≅ ∠N
Step-by-step explanation:
Since you are given ΔJKL ≅ ΔMNO, you can say the corresponding angles are congruent:
∠J ≅ ∠M
∠K ≅ ∠N
∠L ≅ ∠O
So, the answer is ∠N
I need some explaining this is so unclear
please answer this as quick as possible.
Answer:
False
x=8-10=-2
Step-by-step explanation:
[tex]10 = x - 8 \\ ➡ \: x = 10 + 8 \\ ➡ \: x = 18[/tex]
[tex]\sf\red{The\:value\:of\:x\:is\:18.\:}[/tex]
[tex]\sf\pink{Hence,\:it\:is\:false.}[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Diana can decorate 15 cookies in an hor; Jamie can decorate 15 cookies in two hours. How many hours would it take to decorate 60 cookies if they worked together?
Answer:
2.67 hours
Step-by-step explanation:
Diana: 15 cookies per hour
Jamie: 7.5 cookies per hour
15 + 7.5 = 22.5
22.5 cookies per hour
[tex]\frac{60}{22.5} =\frac{y}{1}[/tex]
22.5 · y = 60 · 1
22.5y = 60
22.5y ÷ 22.5 = 60 ÷ 22.5
[tex]y=2\frac{2}{3}[/tex]
[tex]2\frac{2}{3}[/tex] rounded to the nearest hundredth is 2.67
The second one is -3
Answer:
what are u talking about
Step-by-step explanation:
In which quadrant of the coordinate plane is the point (−7,−212) located?
1. Quadrant I
2. Quadrant II
3. Quadrant III
4. Quadrant IV
Answer:
Quadrant 3
Step-by-step explanation:
A square with a side length of 30 cm is divided into 4 triangles which expression CANNOT be used to find the area of one of the four small triangles
A. 302 divided by 4
B. 1/2(30 x 15)
C. (30 x 30) divided by 2
D. 450/2
Answer: A
Step-by-step explanation: