Answer:
The calculated value t = 3.5648> 1.9842 at 0.1 level of significance
The null hypothesis is rejected
The mean of the sample does not come from the Population
Step-by-step explanation:
Step(i):-
Given that sample size 'n' = 100
Mean of the sample x⁻ = 315.40
The standard deviation of the sample (s) = 43.20
Level of significance = 0.1
Mean of the Population = 300
Null hypothesis: H₀: x₀ = μ
Alternative Hypothesis: H₁: x₀ ≠ μ
Step(ii):-
Test statistic
[tex]t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }[/tex]
[tex]t = \frac{315.40-300 }{\frac{43.20}{\sqrt{100} } }[/tex]
t = 3.5648
Degrees of freedom = n-1 = 100-1 =99
[tex]t_{\frac{0.1}{2} , 99} = t_{0.05,99} = 1.9842[/tex]
The calculated value t = 3.5648> 1.9842 at 0.1 level of significance
The null hypothesis is rejected
The mean of the sample does not come from the Population
Sola, Kemi and Ojo were given
N45.00 by their grandfather. If Sola
received 40% of this amount, how
much remained to be shared between
Kemi and Ojo?
Answer:
N27.00 remained to be shared between Kemi and Ojo
Step-by-step explanation:
We have an amount of N 45.00.
Sola received 40% of this amount, which means that 100% - 40% = 60% remained to be shared between Kemi and Ojo.
This amount is given by:
0.6*45 = 27
N27.00 remained to be shared between Kemi and Ojo
30 points and brainly! which systems of inequalities is shown below?
Answer:
Its a
Step-by-step explanation:
Hope this helps!!!
if you give away 2 cupcakes and that is 20% of ur order how many cupcakes is that?
Answer:
you have 10 cupcakes and give away 2 which is 20% of 10
Step-by-step explanation:
I need help with math I’m not good at it
Answer:
Option 1 should be correct
3×w=12 <- Product ; 3 <- Factor ; w <- other factor
Step-by-step explanation:
hope it helps ^^
Did I do this right math functions need fast
Answer:
The rate of change of Function A is less than the rate of change of function B.
Other than that, everything else you put is correct.
Step-by-step explanation:
None.
Answer:
Option A, B and D are correct options.
Step-by-step explanation:
First we will find rate of change of function A and function B
Rate of Change of Function A
The formula used to calculate rate of change is: [tex]Rate\:of\:Change=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have x_1=1, y_1=5, x_2=2, y_2=7
Putting values in formula and finding rate of change
[tex]Rate\:of\:Change=\frac{y_2-y_1}{x_2-x_1}\\Rate\:of\:Change=\frac{7-5}{2-1}\\Rate\:of\:Change=\frac{2}{1}\\Rate\:of\:Change=2[/tex]
So, Rate of change of Function A = 2
Now, finding y-intercept.
y-intercept is found by putting x =0
Looking at the function, we can write the equation: y=2x+3
Now, put x =0
y=2(0)+3
y=3
So, when x =0, y=3
So, y-intercept is 3 for function A.
Rate of Change of Function A
The formula used to calculate rate of change is: [tex]Rate\:of\:Change=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have x_1=1, y_1=1, x_2=2, y_2=4
Putting values in formula and finding rate of change
[tex]Rate\:of\:Change=\frac{y_2-y_1}{x_2-x_1}\\Rate\:of\:Change=\frac{4-1}{2-1}\\Rate\:of\:Change=\frac{3}{1}\\Rate\:of\:Change=3[/tex]
So, Rate of change of Function B = 3
Now, finding y-intercept.
y-intercept is found by putting x =0
Looking at the graph, when x=0, y is -2
So, y-intercept is -2 for function B.
We get following answers:
Rate of change of Function A = 2
Rate of change of Function B = 3
y-intercept is 3 for function A.
y-intercept is -2 for function B.
So, The correct options are:
The rate of change of function A and B are positive
The rate of change of function A is less than the rate of change of function B. (Because 2 is less than 3)
The y-intercept of function A is positive, while y-intercept of function B is negative.
So, Option A, B and D are correct options.
two friends share 3 fruit bars equally.How much does each friend get?
Answer:
1 1/2
Step-by-step explanation:
Answer:
1.5 one and a half
Step-by-step explanation:
3bars/2freinds=1 1/2 bars
What do similar figures and congruent figures have in common?
Answer:They both are figures
Step-by-step explanation:123
Here are measurements (in millime- ters) of a critical dimension on an SRS of 16 of the more than 200 auto engine crankshafts produced in one day: 224.120 224.001 224.017 223.982 223.989 223.961 223.960 224.089 223.987 223.976 223.902 223.980 224.098 224.057 223.913 223.999 (a) Construct and interpret a 95% confidence interval for the process mean at the time these crankshafts were produced.
Answer:
(23.97, 24.03)
Step-by-step explanation:
Given the data:
224.120 224.001 224.017 223.982 223.989 223.961 223.960 224.089 223.987 223.976 223.902 223.980 224.098 224.057 223.913 223.999
Confidence interval = m ± Zcritical(s/√n)
n = sample size = 16
Zcritical at 95% = 1.96
Using calculator :
Sample mean, m = 224.0019
Standard deviation, s = 0.0618
Lower bound : 24.0019 - 1.96(0.0618/√16) = 23.971618
Upper bound : 24.0019 + 1.96(0.0618/√16) = 24.032182
(23.97, 24.03)
Translate the sentence into an equation using n to represent the unknown number. Then solve the equation for n. the quotient of a number divided by 11 is 0.5
a. 22 73= 5.5
b. - = 0.5 = 5.5
C. 11x= 1.5 = 5.5
d. llx=0.5 2= 0.045
Answer:
n = 5.5
Step-by-step explanation:
Let the number be n. The quotient of a number divided by 11 is 0.5.
ATQ,
[tex]\dfrac{n}{11}=0.5[/tex]
Multiply both sides by 11.
[tex]\dfrac{n}{11}\times 11=0.5\times 11\\\\n=5.5[/tex]
Hence, the required number is 5.5.
Answer:
b. - = 0.5 = 5.5
Step-by-step explanation:
Write a positive or negative integer that represents the situation.
You dive 10 feet below the surface of the water
An integer that represents the situation is [ ]?
Answer:
it's -10
Step-by-step explanation:
because in the question they says below the surface of the water
so I think it's right
The upward is taken as positive and the downward is taken as negative. Then the integer can be represented as negative 10.
What is a sign convention?Sign convention means the rule that is used when the sign is to be changed. It is applicable only when the equation is considered.
You dive 10 feet below the surface of the water.
Then the negative sign should be used because we considered the right side as positive and the left side as negative similarly upward is taken as positive and downward is taken as negative.
Then the integer can be represented as negative 10.
More about the sign convention link is given below.
https://brainly.com/question/14303096
#SPJ2
Write the Linear Equation given:
1. Slope = 4; y-intercept = -5
2. Slope = 5; y-intercept = 3
3. Slope = -2; y-int; y-intercept = -8
4. Slope = 2; y-intercept = 2
5. Slope = -%; y-intercept = -2
6. Slope = /; y-intercept = 7
7. Slope = -3; y-intercept = ?
8. Slope = %; y-intercept = 10
9. Slope = -2; y-intercept = -1
10.Slope = -2; y-intercept = -3
Answers:
Answer:
Either a tangent line or a line parallel to the axis of symmetry will do.
A standard high school parabola has a vertical or horizontal axis of symmetry, so a line of the form x=k or y=k is the easiest way
hope it helps you
At first, you have 15 bottles of coke, and you drink 2 bottles each day. After a certain number of days, there are 3 bottles left. Write and solve an equation for, d, when there are 3 bottles left?
Answer:
After 6 days, 3 bottles will be left.
Step-by-step explanation:
Given that:
Number of bottles = 15
Number of bottles drank each day = 2
Let,
d be the number of days
y be the number of bottles left
y = 15 - 2d
Now,
We have to find the number of days when 3 bottles will be left.
Putting y=3
3 = 15 - 2d
2d = 15 - 3
2d = 12
Dividing both sides by 2
[tex]\frac{2d}{2}=\frac{12}{2}\\d=6[/tex]
Hence,
After 6 days, 3 bottles will be left.
What is the slope of the line y=5?
Answer:
0
Step-by-step explanation:
if you slightly change the equation to better fit standard form (without actually changing its meaning) you get
y = 0x + 5
which means the slope is 0
Also, a shortcut:
Horizontal lines always have a 0 slope while vertical lines have an undefined slopeIn ∆ABC, m∠BAC=4x+10,m∠ABC=12x-6,and m∠BCA=3x+5
Use the given information to find the value of x (1 point). Show your work (2 points)
Now that you know x, find the measure of each angle. Show your work (2 points each).
m∠BAC
m∠ABC
m∠BCA
Find the measure of angle 1 and angle 2 (2 points each)
m∠1
m∠2
Angle BAC and Angle FAC are examples of what type of angle pair? (1 point)
Angle BCE and Angle DCA are examples of what type of angle pair? (1 point)
Answer:
Answer:
Try this option, note: only calculation is performed, the last two question are missed.
Step-by-step explanation:
to calculate 'x':
the rule: m∠BAC+m∠ABC+m∠BCA=180°; if to substitute m∠BAC=4x+10,m∠ABC=12x-6,and m∠BCA=3x+5, then 4x+10+12x-6+3x+5=180°; ⇔ x=9.
to calculate m∠BAC; m∠ABC; m∠BCA:
m∠BAC=4x+10; ⇒ m∠BAC=36+10=46°;
m∠ABC=12x-6; ⇒ m∠ABC=108-6=102°;
and m∠BCA=3x+5; ⇒ m∠BCA=27+5=32°.
to calculate the angle 1 and 2:
the fule is: m∠1+m∠BAC=180° and m∠2+m∠ABC=180°.
Then m∠1=180-m∠BAC=180-46=134°;
m∠2=180-m∠ABC=180-102=78°.
Grace plans to visit her friend in another state. The distance to her friend is 1797 miles. If she leaves on Friday and drives 5 hours at a time at 70 mph, when will she get there?
A. The next day
B. In 2 days
C. In 3 days
D. In 5 days
Answer:
In 5 days
Step-by-step explanation:
If you divide 1797 by 70 you will get 25.67 then divide 25 by 5 and you will get 5
In the first week of July a record 1120 people went to the local swimming pool in the second week 105 fewer people went to the pool then in the first week in the third week 135 more people went to the pool then in the second week in the first week 310 fewer people went to the pool then in the third week what is the percent decrease in the number of people who went to the pool over these four weeks
In the first week of July a record 1120 people went to the local swimming pool in the second week 105 fewer people went to the pool then in the first week in the third week 135 more people went to the pool then in the second week in the first week 310 fewer people went to the pool then in the third week what is the percent decrease in the number of people who went to the pool over these four weeks
Answer:
25%
Step-by-step explanation:
The number of people who went to the local swimming pool in the;
first week = 1120
second week ( 105 fewer people) = 1120 - 105 = 1015
third week (135 more people) = 1015 + 135 = 1150
fourth week (310 fewer people|) = 1150 - 310 = 840
The percent decrease in the number of people who went to the pool over these four weeks
= (1120 - 840)/1120 * 100%
= 280/1120 * 100%
= 1/4 * 100%
= 25%
It means that the number of people who went to the local swimming pool over the 4 weeks decreased by 25%
Kyle is raising money for his school. He has $75 saved and needs to raise at least $150. He wrote part of an inequality to help him find the minimum amount of money needed to raise. Which inequality symbol can be used in the box to make this inequality correct?
≥
Answer: >_
Step-by-step explanation:
The symbol for inequality is represented as "≥".
Given data:
To find the minimum amount of money Kyle needs to raise, the inequality is determined as:
Kyle already has $75 saved, and he needs to raise at least $150.
Let's represent the minimum amount he needs to raise with the variable "x."
The inequality can be written as:
$75 + x ≥ $150
In this inequality, we are adding the amount Kyle has saved ($75) to the amount he needs to raise (x), and it should be greater than or equal to $150.
To indicate that the left side of the inequality should be greater than or equal to the right side, we use the symbol "≥" in the box.
Hence, the correct inequality symbol to make the inequality accurate is "≥".
To learn more about inequality equations click :
https://brainly.com/question/11897796
#SPJ2
A mom mixes 9 oz of juice and adds 3 oz of water. What percent of the drink is juice?
Answer:
75% is juice
Step-by-step explanation:
3/4 equals 75%
Answer:
75% of the drink is juice i did the calculations in my head.
Step-by-step explanation:
i Hope this helps you :)
How to solve for x?
Answer:
159
Step-by-step explanation:
35x-1 =-35 plus 34x20
Carolyn drove from her home to school at 40 mph and was 10
minutes late. The next day she drove to school at 60 mph and was
10 minutes early. How far is Carolyn's school from her home? Please explain also I will give brainliest
7v + 6v pls help im learn about algebra
Answer:
infinite 7v + 6v could be anything theres no context to find out what v represents and how much it could amount to
Step-by-step explanation:
The ratio of red marbles to blue marbles in Simran's bag is equal to 1 to 1. If there are 20 red marbles, how many blue marbles are there?
Answer:
There has to be 20 blue marbles
Step-by-step explanation:
The ratio is 1:1, so to be equal we must replace 1 with 20 on both sides.
Answer:
20
Step-by-step explanation:
1/1 = 1
20/x = 1
x=20
Usually Holly leaves home to school at 9:00, however today she left home 20 minutes later. In order to be at school on time she increased her usual speed by 20% and still was at school 15 minutes later than usual. What is her usual time from home to school
Answer:
Her usual time from home to school is 30 minutes
Step-by-step explanation:
At any point in time;
distance = speed * time
Here, we want to calculate the normal time she spent going from home to school
Let the normal time be x minutes
And the normal speed be t m/min
Today, she increased her speed by 20%
Her speed today will be t + 20/100 * t =
1.2t m/min
Her distance from how to school normally is
xt meters
Now what this means is that, at the increased speed, she was able to get to school 5 minutes earlier
What we are saying is although, she lost 20 minutes initially, she was able to beat down the lateness by 5 minutes
So, the time spent on her increased speed journey is;
(x-5) minutes
At any point in time, the distance will be equal;
Thus, mathematically;
xt = 1.2t(x-5)
xt = 1.2xt - 6t
6t = 1.2xt-xt
6t = 0.2xt
t cancels out
0.2x = 6
x = 6/0.2
x = 30 minutes
PLS HURRY NOWWWW. Peanuts are priced at $3.38 per pound. Derek buys a sack
of peanuts for $15.82. Which measurement is a reasonable
estimate of the weight of the peanuts that are in the sack?
A А
70 lb
B
5 lb
C
50 lb
D 7 lb
Answer:
a 70
Step-by-step explanation:
eanuts have a high oil content (45 percent to 52 percent) compared to several other oilseed crops. With a yield of 3,000 pounds per acre, a 70 grade (70 percent of the weight of the peanut in shell) and 50 percent oil content, peanuts could potentially produce 120 to 150 gallons of biodiesel per acre.
What specific measure of a geometric figure is shown in the image?
Answer:C, A 70 angle
Step-by-step explanation:
Answer:
The specific measure of a geometric figure is shown in the image is a 70° angle.
Thus, option 'A' is correct.
Step-by-step explanation:
We know that protectors normally have:
two sets of numbers going in opposite directions.From the figure, it is clear that:
The center point of the protector lies on the vertex of the angle.The zero mark is the bottom edge of the protractor.It is clear that the other ray tends to cross the protractor at the measure 70 degrees.
Therefore, the specific measure of a geometric figure is shown in the image is a 70° angle.
Thus, option 'A' is correct.
Pedro’s car odometer measures the distance driven in kilometers. Pedro determines that, for every 810 kilometer he drives, he drives the equivalent distance of 510 mile. What is that ratio as a unit rate of kilometers to miles?
Answer:
The ratio of a unit rate of kilometers to miles of the distance measured by the odometer is 1 km : 0.63 miles.
Step-by-step explanation:
Given;
distance measured by odometer in kilometer, = 810 km
distance measured by odometer in miles, = 510 miles
The ratio of a unit rate of kilometers to miles of the distance measured by the odometer is calculated as;
[tex]d = \frac{810 \ km}{510 \ miles} \\\\d = \frac{810 \ km \ \times \ \frac{1}{810 \ km} }{510 \ miles \ \times \frac{1}{810 \ km} } \\\\d = \frac{1 \ km}{\frac{510}{810} \ miles } \\\\d = \frac{1 \ km}{\frac{17}{27} \ miles} \\\\d = 1 \ km : \frac{17}{27} \ miles\\\\d = 1 \ km : 0.63 \ miles[/tex]
Therefore, the ratio of a unit rate of kilometers to miles of the distance measured by the odometer is 1 km : 0.63 miles.
if your dogs heart rate is 90 times per minute how many times would it beat in an hour?
Answer:5400
Step-by-step explanation: 1 hour is 60 minutes, so 90 * 60 = 5400
Answer:
90 x 60 = 5,400 beats per hour i think
unless the dog dies, then its just sad
Please help me can y’all tell me how to solve it out
Answer:
40in
Step-by-step:
to get from 12 to 30 you multiply by 2.5
this is the scale factor
then you do 16 x 2.5 which is 40
pq (p to q) is 40in
Nikhil, Davina and Sid share a tin of celebrations amongst themselves in the ratio of 8:12:20 respectively.
Given that Davina gets 48 sweets, calculate the total number of sweets that were in the tin.
Answer:
160
Step-by-step explanation:
n : d : s
8 : 12 : 20
davina = 48 sweets
48/12 = 4
8 + 12 + 20 = 40
40 x 4 = 160 sweets total
I’ll mark brainliest I’m so lost w this
Answer:
The Area of the sector is: A = 95.4 cm²
Step-by-step explanation:
Given
Central angle Ф = 135°
radius r = 9 cm
To determine
Area of the sector = ?
The Area of the sector can be calculated using the formula
A = Ф/360 × πr²
substitute Ф = 135°, r = 9 and π = 3.14
A = 135/360 × (3.14) (9)²
A = 95.4 cm²
Therefore, the Area of the sector is: A = 95.4 cm²
