Answer:
25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
Here is a garden and a pond.
The garden and the pond are rectangular..
14 m
garden
9 m
pond
2.4 m
3.8 m
v
grass
Kayla is covering the garden with seed.
She will not put any grass seed in the pond.
One box off grass seed covers 15m of the garden.
Work out the mumber of boxes off grass seed Kaydla meeds to cover the garden.
Answer:
Kayla needs 8 boxes of grass seed to cover the whole garden without including the pond.Step-by-step explanation:
You can observe a representation of this problem in the image attached.
Notice that the grass seed is gonna be put only in the green zone, out of the pond. So, we need to find each area and subtract them.
[tex]A_{garden}= 14 \times 9 =126 \ m^{2} \\A_{pond}=2.4 \times 3.8 = 9.12 \ m^{2}[/tex]
The difference is
[tex]A_{seed}=126 - 9.12 = 116.88 \ m^{2}[/tex]
Now, according to the problem, one box of grass seed covers 15 meters of the garden, let's divide this number with the seed area.
[tex]n=\frac{116.88}{15} \approx 7.792[/tex]
Therefore, Kayla needs 8 boxes of grass seed to cover the whole garden without including the pond.
Determine whether the equation is an identity or not an identity.
2. Evaluate the logarithm. (
log,1024
Answer:
exact form: log(1024)
decimal form : 3.01029995
Step-by-step explanation:
If |x| = 7 and |y| = 13, then which of the following could be equal to x + y?
Answer:
20, -20, -6, 6
Step-by-step explanation:
x and y could be negative or positive.
Answer:
Answer shown from explanation
Step-by-step explanation:
|x| means modulus of x such that positive or negative value of x evaluates to a positive value.
|x| = 7 is the same as x = -7 and x = 7
Similarly,
|y| = 13 is the same as y = -13 and y= 13;
Hence the possible values are;
7+13= 20
7-13= -6
-7-13= -20
-7 + 13 = 6
What values of x make the equation 2 + 9x - 22 = 0 true? Check all that apply.
-2
0
2
11
Answer:
x = 20/9
Step-by-step explanation:
2 + 9x - 22 = 0
Combine like terms
9x - 20 =0
Add 20 to each side
9x-20 +20 = 20
9x = 20
divide each side by 9
9x/9 = 20/9
x = 20/9
I think of a number, double it, and subtract two. I get nine. using the statement above, from an equation. Use the letter "X" for the unknown number.
solve the equation as well.
Answer:
5.5
Step-by-step explanation:
your number is X
doubling it=2X
2X-2=9
using like terms...
2X=9+2
2X=11
dividing through by 2
2X/2=11/2
X=5.5
Answer: The no. thought is 5.5
Step-by-step explanation: Let the no. thought be ' x '
2x - 2 = 9
2x = 9+2
2x = 11
x = 11/2 = 5.5
A researcher was interested in comparing the resting heart rate of people who exercise regularly and people who do not exercise regularly. Independent simple random samples of 16 people ages who do not exercise regularly and 12 people ages two who do exercise regular were selected and the resting heart rate of each person was measured.
The summary statistics are as follows.
Do not exercise Do exercise
x_1 = 73.5 x_2 = 69.3
s_1 = 10.2 s_2 = 8.7
n_1 = 16 n_2 = 12
(a) Use a 0.025 significance level to test the claim that the mean resting pulse rate of people who do not exercise regularly is larger than the mean resting pulse rate of people who exercise regularly. Use the critical value method of hypothesis testing.
Answer:
[tex]t=\frac{(73.5-69.3)-0}{\sqrt{\frac{10.2^2}{16}+\frac{8.7^2}{12}}}}=1.173[/tex]
Using the critical value method we need to find a critical value in the t distribution who accumulates 0.025 of the area on the right and we got:
[tex] t_{cric}= 2.06[/tex]
So then since our calculated value is lower then the critical value we fail to reject the null hypothesis and we can't conclude that the true mean resting pulse rate of people who do not exercise regularly is larger than the mean resting pulse rate of people who exercise regularly.
Step-by-step explanation:
Information given
[tex]\bar X_{1}=73.5[/tex] represent the mean for sample of people who do not exercise
[tex]\bar X_{2}=69.3[/tex] represent the mean for sample of people who do exercise
[tex]s_{1}=10.2[/tex] represent the sample standard deviation for 1
[tex]s_{2}=8.7[/tex] represent the sample standard deviation for 2
[tex]n_{1}=16[/tex] sample size for the group 1
[tex]n_{2}=12[/tex] sample size for the group 2
[tex]\alpha=0.01[/tex] Significance level
t would represent the statistic
System of hypothesis
We want to verify if the mean resting pulse rate of people who do not exercise regularly is larger than the mean resting pulse rate of people who exercise regularly, the system of hypothesis would be:
Null hypothesis:[tex]\mu_{1}-\mu_{2} \leq 0[/tex]
Alternative hypothesis:[tex]\mu_{1} - \mu_{2}> 0[/tex]
The statistic for this case would be given by:
[tex]t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}}[/tex] (1)
The degrees of freedom are given by:
[tex]df=n_1 +n_2 -2=16+12-2=26[/tex]
Replacing the info given we got:
[tex]t=\frac{(73.5-69.3)-0}{\sqrt{\frac{10.2^2}{16}+\frac{8.7^2}{12}}}}=1.173[/tex]
Using the critical value method we need to find a critical value in the t distribution who accumulates 0.025 of the area on the right and we got:
[tex] t_{cric}= 2.06[/tex]
So then since our calculated value is lower then the critical value we fail to reject the null hypothesis and we can't conclude that the true mean resting pulse rate of people who do not exercise regularly is larger than the mean resting pulse rate of people who exercise regularly.
Layla ran the 200 m race three times. Her fastest time was 26.3 seconds. Her slowest time was 30.3 seconds. If Layla’s average time was it 28.0 seconds, what was her time for the third race? ANSWER QUICK!!!
Average for 3 races to be 28.0, the total times need to equal 28 x 3 = 84 seconds.
84 - 26.3 - 30.3 = 27.4
Her third time was 27.4 seconds.
Answer:
27.4 seconds
Step-by-step explanation:
Which face has an area of 28 cm2?
Answer:
your answer is B my kind friend
Step-by-step explanation:
James has a desk job and would like to become more fit, so he purchases a tread walker and a standing desk which will allow him to walk at a slow pace as he works. However, he is concerned that standing and walking while working may cause his productivity to decline. After working this way for 6 months he takes a simple random sample of 15 days. He records how long he walked that day (in hours) as recorded by his fitness watch as well as his billable hours for that day as recorded by a work app on his computer. Assuming that all conditions for inference are met, which of the following is a 95 percent confidence interval for the average change in the number of billable hours for each increase of 1 hour spent walking?
Answer:
answer is
[tex]-0.245 \pm2.160(0.205)[/tex]
Step-by-step explanation:
After working this way for 6 months he takes a simple random sample of 15 days. He records how long he walked that day (in hours) as recorded by his fitness watch as well as his billable hours for that day as recorded by a work app on his computer.
Slope is -0.245
Sample size n = 15
Standard error is 0.205
Confidence level 95
Sognificance level is (100 - 95)% = 0.05
Degree of freedom is n -2 = 15 -2 = 13
Critical Value =2.16 = [using excel = TINV (0.05, 13)]
Marginal Error = Critical Value * standard error
= 2.16 * 0.205
= 0.4428
[tex]-0.245 \pm2.160(0.205)[/tex]
Answer:
The correct answer is C. [-0.245±2.160*0.205]
Step-by-step explanation:
Hello!
To analyze the if walking while working (independent variable X) affects his working productivity (dependent variable Y) James took a random sample of 15 days (from a 6 month period in which he worked and trained at home) and recorded how long he walked and his billable hours for that day.
Using this information he estimated the linear regression between the working productivity and the time spent training.
^Y= 7.785 -0.245X
The interest is to estimate the change in the average number of billable hours every time he increases the time spent walking in 1 hour.
To estimate the range of values the average billable hours may take each time the training time increases sone hour, you have to calculate a confidence interval for the population slope of the regression. The statistic is a t-test:
[tex]t= \frac{b-\beta}{Sb} ~~t_{n-1}[/tex]
[b±[tex]t_{n-2;1-\alpha /2}[/tex]*Sb]
Using a 95% confidence level the value of t is [tex]t_{n-2;1-\alpha /2}= t_{13; 0.975}= 2.160[/tex]
b= -0.245
Sb= 0.205
[-0.245±2.160*0.205]
[-0.68780.1978]
Using a 95% confidence level you'd expect the interval [-0.68780.1978] to contain the value of the average billable hours when the time spent walking increases in 1 hour.
I hope this helps!
90-(18+-2)(3)
90-(16)(3)
Answer:
1: 42
2: 42
Step-by-step explanation:
1: Subtract and plus the first equation using a calculator
2: Now subtract and plus the second equation using a calculator
Answers:
1: 42
2: 42
Hope this helps.
Answer:
hmmmmmm
Step-by-step explanation:
42 easyyyyyyyyyyyyyyyyyyyyyy tyyyyyb y u y y y y y y
What is the radius and diameter of the following circle?
24 cm
Answer:
Radius: 12
Diameter: 24
Step-by-step explanation:
Diameter is the width of the circle across while radius is the length from the centre of the circle outward.
The function g(x) = x3 has the point (-3, -27) on its graph. The function g(x) is even or odd
Answer:
The function g(x) is odd.
Step-by-step explanation:
Even and odd functions:
If for every value of x, f(x) = f(-x), the function is even.
If for every value of x, f(x) = -f(x), the function is odd.
If those statements are false, the function is neither even nor odd.
In this question:
[tex]g(x) = x^{3}[/tex]
[tex]g(-x) = (-x)^{3} = -x^{3} = -g(x)[/tex]
Since g(x) = -g(-x), the function g(x) is odd.
The ratio of boys to girls in a class is 4:5
a) What fraction of the class are boys?
b) What fraction of the class are girls?
Answer:
Boys 4/9 ; 5/9 Girls
Step-by-step explanation
Boys 4:5 Girls
Total pupil = 9
The fraction of boys in the class is 4/9
The fraction of girls in the class is 5/9
With individual lines at the checkouts, a store manager finds that the standard deviation for the waiting times on Monday mornings is 5.7 minutes. After switching to a single waiting line, he finds that for a random sample of A customers, the waiting times have a standard deviation of B minutes.
a) Use a 0.025 significance level to test the claim that with a single line, waiting times vary less than with individual lines.
Answer:
Step-by-step explanation:
Complete Question
With individual lines at the checkouts, a store manager finds that the standard deviation for the waiting times on Monday mornings is 5.7 minutes. After switching to a single waiting line, he finds that for a random sample of A customers, the waiting times have a standard deviation of B minutes.
a) Use a 0.025 significance level to test the claim that with a single line, waiting times vary less than with individual lines.
If we let italic sigma be the population standard deviation of waiting times for a single line, what are the hypotheses for this test?
Use the traditional method to test the claim. Assume the population of waiting times is normally distributed.
Calculate the test statistic for this test, italic chi to the power of 2 . Round your answer to three digits to the right of the decimal point.
What is the critical value for this left-tailed test? Round your answer to three digits to the right of the decimal point.
Based on the critical value and test statistic, should the null hypothesis be rejected?
Since the claim is the alternative hypothesis, what final conclusion can you draw from this test?
1) Null and Alternative hypothesis
Null hypothesis: H₀ = 5.7
and Alternative hypothesis: H₁ < 5.7
2) Test Statistic
[tex]x^2=\frac{(n-1)s^2}{\sigma^2}[/tex]
where s is the standard deviation = 4.9
n sample size = 29
[tex]=\frac{28 \times 4.9^2}{5.7^2} \\\\=20.692[/tex]
complete solution is detailed in the image
How do I find how many times a line intersects?
Answer:
you should count how many time two or more line touches each other
Answer:
If you want to know where a line intercepts the y axis then you make substitute x for 0 and solve for y. If you want to know the intercepts for the x axis, then substitute y for 0 and solve for x.
Step-by-step explanation:
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answer:
C
Step-by-step explanation:
y = -f(x) is the reflection about the x-axis of the graph y = f(x).
Write an exponential equation in the form y = ab* whose graph passes through points (2, 18) and (5, 60.75).
Let [tex]y=ab^x,[/tex] as described in the problem statement. Plugging in [tex]x=2[/tex] and [tex]x=5[/tex] gives us the equations [tex]18=ab^2[/tex] and [tex]60.75=ab^5.[/tex] Since [tex]a,b[/tex] are nonzero, we divide the second equation by the first to get [tex]\frac{27}{8}=b^3,[/tex] which means that [tex]b=\frac{3}{2},[/tex] after taking the cube root. Plugging this value for [tex]b[/tex] into the first equation, we now have [tex]18=a(3/2)^2=\frac{9a}{4}.[/tex] Solving gives [tex]a=8,[/tex] and our desired exponential equation is [tex]\boxed{y=8\left(\frac{3}{2}\right)^x}.[/tex]
PLEASE HELP
PLEASE HELP
Sara and Sam are each working on a science project in which they need to research the individual masses of the nine planets (including the dwarf planet Pluto as the ninth planet). Sara completes her data for the planets' masses in kilograms while Sam's data is in milligrams.
Sara:
Approximate how many times greater Saturn's mass is than Mercury's.
A: 2,000,000
B: 200,000
C: 20,000
D: 2,000
Answer:
D About 2000 times
Step-by-step explanation:
About 2000 times
Saturn = 5.683 × 10^32
Mercury = 3.302 × 10^29
Unit of measurement is irrelevant in ratios.
Please answer this correctly
Answer:
m=42
Step-by-step explanation:
the ratio of the shorter sides is 6/7 and the ratio of the longer sides is 36/m
so m=36*7/6=42.
3. What are the first four terms of the sequence represented by the expression n(n-1) - 4?
-2, 2, 6, 10
-3,0,3,6
-4,-2, 2, 8
-5,-4,-2,6
Answer:
-4, -2, 2, 8
Step-by-step explanation:
The first four terms will be found by evaluating the expression for values of n that are 1, 2, 3, 4. Evaluating for n=1 is sufficient to determine the correct answer choice:
n(n -1) -4
1(1 -1) -4 = -4 . . . . matches the third choice
A rectangle is 18.4 cm long and 16.3 cm wide. What is a) the perimeter of this rectangle and b) the area of this rectangle?
Answer:
Perimeter = 69.4 cm
Area = 299.92 square cm
Step-by-step explanation:
Given:
length of rectangle (l) = 18.4 cm
Width of rectangle (w) = 16.3 cm
a) Perimeter of rectangle
= 2( l + w)
= 2 ( 18.4+16.3)
= 2 * 34.7
= 69.4 cm
b) Area of rectangle = lw = 18.4*16.3 = 299.92 square cm
plz Help your fav. Marshmello i wasn' t,,,,, xx born yesterday.
Answer:
[tex] \boxed{B. \: 16 \: yards} [/tex]
Given:
Length of rectangle (l) = 28 yards
Perimeter of rectangle = 88 yards
Step-by-step explanation:
Let width of rectangle be 'w'
[tex] = > Perimeter \: of \: rectangle = 2(l + w) \\ \\ = > 88 = 2(28 + w) \\ \\ = > \frac{88}{2} = 28 + w \\ \\ = > 44 = 28 + w \\ \\ = > 28 + w = 44 \\ \\ = > w = 44 - 28 \\ \\ = > w = 16 \: yards[/tex]
Width of rectangle = 16 yards
MATHEMATICS
please answer it i am waiting
choose the correct option :
1: set A = { 1,5,6,7 } and set B = { 0,1,7,15 } . what is the A U B ?
a) A U B = { 0,1,5,6,7,15 }
b) A U B = {0,1,1,5,6,7,15}
c) A U B = { 1,5,6,7,15}
d) A U B = { 1, 7 }
2: which equation shows the identity property of multiplication ?
a) a+a+a+= 3× a
b) ( a + b ) + 4 = a + ( 4 + b )
c) a ( b + c ) = ab + ac
d) a×1 = a
3: which is an example of associative property of addition ?
a) 7+ 0 = 7
b) (3+9) + 8 = 3 + ( 9+ 8)
c) 5 + ( -5 ) = 0
d) 4+ 3 = 3 +4
4: which property of addition is used in the following ?
( 9+8 ) + 5 = 9 + ( 8+ 5 )
a) associative property
b) closure property
c) distributive property
d) commutative property
5: which property is used in the following expression ?
( 2 × 6 ) × 4 = 6 × ( 4 × 2 )
a) distributive property of multiplication
b) commutative property of addition
c) associative property of addition
d) associative property of multiplication
6: which property is used in the following ?
2×( 4+3 ) = 2 x 4 + 2 × 3
a) commutative property
b) distributive property
c) associative property
d) none of the above
7: which is an example of identity property of addition ?
a) (4+6) + 2 = 4 + ( 6 + 2 )
b) 9+ 0 = 9
c) 8× 1 = 8
d) 7+ 4 =4+ 7
8: which of the following does NOT show the commutative property of addition ?
a) ab = ba
b) 3x + 4y = 4y + 3x
c) a+ b =b+ a
d) 8+ x = x + 8
9: which operation will not change the value of any nonzero number ?
a) dividing by zero
b) adding one
c) multiplying by zero
d) multiplying by one
10: which property of addition does 2 + 0= 2 illustrate ?
a) commutative property
b) zero property
c) distributive property
d) identity property
please , i am in a hurry
Answer:
1 .i think it is d
Step-by-step explanation:
Answer:
Step-by-step explanation:
Choose the correct option
Which one of these lines is the equation
y = -½x + 2?
Line A - blue line
Line B - red line
Line C - black line
Line D - gold line
Answer:
Line B - red line
Step-by-step explanation:
Please solve this ASAP I have been stuck on this for an hour or so.
Please???
Answer:
27 m² (blue fabric)
9 m² (brown fabric)
Step-by-step explanation:
Area of a triangle = 1/2*base *height
Area of 4 triangles = 4* 1/2*3*4.5 = 27 m² (blue fabric)
Area of a square = side² = 3² = 9 m² (brown fabric)
Select the property that allows the statement 5 = b to be written as b = 5.
identity - addition
commutative - multiplication
symmetric
commutative - addition
distributive
associative - addition
associative - multiplication
Answer:
The answer is symmetric ; as there is no addition , subtraction , multiplication , division , but equal terms are given .
A rocket is traveling at 283 miles per minute. How far will the rocket travel in 15 minutes?
Answer:
4,245 miles
Step-by-step explanation:
Hello there,
the reason the answer is 4245 is because its says per minute therefore each minute of the rocket is going 283 miles and when it ask how miles did it travel in 15 minutes u just multiply 283 and 15 which gets you the answer 4245 miles
Hope dis helps.
Step-by-step explanation:
Step 1: Multiply them together
Miles Per Minute * Minutes = Miles Traveled
283 * 15 = Miles Traveled
4245 = Miles Traveled
Answer: The rocket will travel 4,245 miles
The set of all numbers greater than 2
6th grade math :D....
Answer:
Step-by-step explanation:
I chose the first one. To compare the two products and find the better buy, let's find the cost of 1 ounce of cereal in each box. The unit rate for the left box will be $2.15 / 14 = $0.15 per ounce. The unit rate for the right box will be $3.40 / 20 = $0.17 per ounce. Because 0.15 < 0.17, the box on the left is the better buy. Hope this helps!
Answer:
2.15/14=0.153
3.4/20=0.17
Option A. is better because the price is smaller
4.50/3=1.5
5.96/4=1.49
option b is better
2.41/4=0.6025
1.8/2=0.9
option b is better
Step-by-step explanation: