Answer:
54000-65000
Step-by-step explanation:
round the numbers first down to 1200 and 45, and multiply, then round up for the larger, like 1300 and 50 to get your answer.
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
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:
2. Evaluate the logarithm. (
log,1024
Answer:
exact form: log(1024)
decimal form : 3.01029995
Step-by-step explanation:
Predict what will happen to the coordinates of a point (x, y) as the point reflects across a line to produce point (x', y'). Choose the x-axis, y-axis, y = x and y = -x for the lines of reflection. Express your answers in terms of x and y. (Be sure to watch your signs
Answer:
Check the table.
Step-by-step explanation:
For edmentum.
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
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
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
The set of all numbers greater than 2
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.
What is 656 divided by 78
Answer:
8.4102
Step-by-step explanation:
656÷78=8.4102
Answer
8.41025641026
When you do long division that comes out to be your answer.
Multiply (y + 4)(y - 3)
Answer: y2 + y - 12
Step-by-step explanation:
(y + 4)(y - 3)
y2 -3y + 4y -12
y2 +y -12
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
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 .
The radius of a soccer ball is 4 inches. Approximately what volume of air can it hold? Use 3.14 for Pi. Round to the nearest tenth of a cubic inch.
Recall the formula V = four-thirds pi r cubed
Answer:
The volume of air that can be hold is 267.9 inches³.
Step-by-step explanation:
Given that the volume of sphere formula is V = 4/3×π×r³ where r represents radius of sphere. Then substitute the values :
[tex]v = \frac{4}{3} \times \pi \times {r}^{3} [/tex]
Let π = 3.14,
Let r = 4,
[tex]v = \frac{4}{3} \times 3.14 \times {4}^{3} [/tex]
[tex]v = \frac{4}{3} \times 200.96[/tex]
[tex]v = 267.9 \: {inches}^{3} (near.tenth)[/tex]
The soccer can hold air up to the volume of 267.9 cubic inches.
What is volume?
The measure of the capacity that an object holds is called volume.
Formula for the volume of sphere[tex]v = \frac{4}{3} \pi r^{3}[/tex]
Where, v is the volume of sphere
r is the radius of sphere
π = 3.14
According to the given question
The radius of soccer is 4 inches.
Therefore,
The volume of the soccer = [tex]\frac{4}{3}\pi (4)^{3}[/tex] (shape of soccer is spherical)
Volume of soccer = [tex]\frac{4}{3} (3.14)(64)[/tex] [tex]= 267.946 cubic inches[/tex]
Hence, the soccer can hold air up to the volume of 267.9 cubic inches.
Learn more about the volume of sphere here:
https://brainly.com/question/9994313
#SPJ2
Factor COMPLETELY the expression 2x^3 - 250
Answer:
2 (x - 5) (x^2 + 5 x + 25)
Step-by-step explanation:
Factor the following:
2 x^3 - 250
Factor 2 out of 2 x^3 - 250:
2 (x^3 - 125)
x^3 - 125 = x^3 - 5^3:
2 (x^3 - 5^3)
Factor the difference of two cubes. x^3 - 5^3 = (x - 5) (x^2 + x 5 + 5^2):
2 (x - 5) (x^2 + 5 x + 5^2)
5^2 = 25:
Answer: 2 (x - 5) (x^2 + 5 x + 25)
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.
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.
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.
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:
A recently published article included data from a survey of 2186 hiring managers and human resource professionals. The article noted that many employers are using social networks to screen job applicants and that this practice is becoming more common. Of the 2186 people who participated in the survey, 1312 indicated that they use social networking site to research job applicants. Based on the survey data, is there convincing evidence that fewer than two-thirds of hiring managers and HR professionals use social networking sites in this way? Use a significance level of = 0.01 to make your conclusion.
Calculate the test statistic.
Answer:
Step-by-step explanation:
two-thirds = 2/3 = 0.67
We would set up the hypothesis test.
For the null hypothesis,
p = 0.67
For the alternative hypothesis,
p < 0.67
This is a left tailed test.
Considering the population proportion, probability of success, p = 0.67
q = probability of failure = 1 - p
q = 1 - 0.67 = 0.33
Considering the sample,
Sample proportion, P = x/n
Where
x = number of success = 1312
n = number of samples = 2186
P = 1312/2186 = 0.6
We would determine the test statistic which is the z score
z = (P - p)/√pq/n
z = (0.6 - 0.67)/√(0.67 × 0.33)/2186 = - 6.96
From the normal distribution table, the probability value corresponding to the z score is < 0.00001
Since alpha, 0.01 > than the p value, then we would reject the null hypothesis. Therefore, at 1% significance level, there is convincing evidence that fewer than two-thirds of hiring managers and HR professionals use social networking sites in this way.
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:
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.
Which face has an area of 28 cm2?
Answer:
your answer is B my kind friend
Step-by-step explanation:
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
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)
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
What is 2+2=
Double tap to add text
Answer:
2+2= 4
Step-by-step explanation:
1+1+1+1= 4
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
analyze the diagram below and complete instructions that follow find the value of x in the value of y
Answer:
The values are [tex]x=2\sqrt{2}[/tex] and [tex]y=2\sqrt{6}[/tex].
Step-by-step explanation:
A right triangle is a type of triangle that has one angle that measures 90°.
In a right triangle, the sine of an angle is the length of the opposite side divided by the length of the hypotenuse.
[tex]\sin(\theta)=\frac{opposite \:site}{hypotenuse}[/tex]
To find the value of x we use the above definition. From the diagram we can see that the angle is 30º and the hypotenuse is [tex]4\sqrt{2}[/tex]. Therefore,
[tex]\sin(30)=\frac{x}{4\sqrt{2} }\\\\\frac{x}{4\sqrt{2}}=\sin \left(30^{\circ \:}\right)\\\\\frac{8x}{4\sqrt{2}}=8\sin \left(30^{\circ \:}\right)\\\\\sqrt{2}x=4\\\\\frac{\sqrt{2}x}{\sqrt{2}}=\frac{4}{\sqrt{2}}\\\\x=2\sqrt{2}[/tex]
To find the value of y we use the above definition. From the diagram we can see that the angle is 60º and the hypotenuse is [tex]4\sqrt{2}[/tex]. Therefore,
[tex]\sin(60)=\frac{y}{4\sqrt{2} }\\\\\frac{y}{4\sqrt{2}}=\sin \left(60^{\circ \:}\right)\\\\\frac{8y}{4\sqrt{2}}=8\sin \left(60^{\circ \:}\right)\\\\\sqrt{2}y=4\sqrt{3}\\\\\frac{\sqrt{2}y}{\sqrt{2}}=\frac{4\sqrt{3}}{\sqrt{2}}\\\\y=2\sqrt{6}[/tex]
Answer:
C.
Step-by-step explanation:
trust me its correct on EDGE2021
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.