15. Find four consecutive integers whose sum is 30.

Answer:

We can think in the area as:

A rectangle of 100m by 64m

And two half circles (o a whole circle if we combine them) of diameter = 64m

Then we need to calculate the area of these two figures and then sum them.

The area of a rectangle of width W and length L is:

A = A*L

then the area of the rectangle will be:

A1 = 100m*64m = 6400m^2

The area of a circle of diameter d is:

A = pi*(d/2)^2

in this case, d = 64m

pi = 3.14

Then:

A2 =  3.14*(64m/2)^2 = 3215.35m^2

The total area of the field is:

A = A1 + A2 = 6400m^2 + 3215.35m^2 = 9615.36 m^2

Now, we know that the cost per square meter is $5.00

Then the total cost will be:

Cost = A*$5.00/m^2 = 9615.36 m^2*$5.00/m^2 = $35215.36

Answer:

132 degree

Step-by-step explanation:

a and b are parallel and c is a transversal

so 2 and 3 are interior and they both equal 180

so 3 = 180-48= 132

Answer:

m<3=138

Step-by-step explanation:

m<2=42

m<1=m<3

180-42=138

m<1=138 m<3=138

m<1 and m<3 are alternate interior angles

Using the information given, it is found that:

a.

The standard error for the difference is of 0.0176.

The 95% confidence interval is 0.0151 to 0.0841.

b.

Since 0 is not part of the confidence interval, it is not plausible that there is no difference between males and females in the proportion who agree that each person has only one true love.

For males, we have that:

[tex]n = 1213, p_M = \frac{372}{1213} = 0.3067, s_M = \sqrt{\frac{0.3067(0.6933)}{1213}} = 0.01324[/tex]

For females, we have that:

[tex]n = 1412, p_F = \frac{363}{1412} = 0.2571, s_F = \sqrt{\frac{0.2571(0.7429)}{1412}} = 0.01163[/tex]

The distribution of differences has mean and standard error given by:

[tex]p = p_M - p_F = 0.3067 - 0.2571 = 0.0496[/tex]

[tex]s = \sqrt{s_M^2 + s_F^2} = \sqrt{0.01324^2 + 0.01163^2} = 0.0176[/tex]

It is given by:

[tex]p \pm zs[/tex]

z is the critical value, which considering that there is a 95% confidence level, it is of z = 1.96.

Then:

[tex]p - zs = 0.0496 - 1.96(0.0176) = 0.0151[/tex]

[tex]p + zs = 0.0496 + 1.96(0.0176) = 0.0841[/tex]

The 95% confidence interval is 0.0151 to 0.0841.

Item b:

Since 0 is not part of the confidence interval, it is not plausible that there is no difference between males and females in the proportion who agree that each person has only one true love.

More can be learned about confidence intervals at https://brainly.com/question/16162795

Answer:

282.7

Step-by-step explanation:

To find the answer, we use subtraction.

So, 318.0 - 35.3= 282.7

Hope this helps you!!

Answer:

=166.66% markup

Step-by-step explanation:

1800/300 = $6 a shirt

If they're being sold for $10

10/6 =5/3

=1.666

x100

=166.66% markup

Answer:

1/8

Step-by-step explanation:

1 divided by 2 = 1/2

1/2 divided by 2 = 1/4

1/4 divided by 2 = 1/8

The correlation Coefficient gives the measure of the strength and direction of the relationship between two variables. - 0.833 depicts a strong negative relationship. Hence, one can be confident that the predicted value will be close to the actual Value.

The Correlation Coefficient, R ranges from - 1 to 1, with values closer to - 1 and 1 representing strong negative and positive relationship respectively, which is only achieved of the data is modeled very well.

Therefore, since, - 0.833 is a strong correlation Coefficient, then we can be confident in the predicted value.

Learn more : https://brainly.com/question/19805544

Answer:

x=−4+√22 or x=−4−√22

Step-by-step explanation:

Substitute all values in the quadratic formula.

Solve.

Answer:

[tex]\boxed {\sf x= {{ - 4\pm \sqrt{22} }}}[/tex]

Step-by-step explanation:

The quadratic equation is used to find the roots of a quadratic. The formula is:

[tex]x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}[/tex]

when  [tex]{ax^2 + bx + c = 0}[/tex]

We are given the quadratic: [tex]x^2+8x-6=0[/tex]

If we compare the given quadratic to the standard form of a quadratic, then:

[tex]a= 1\\b=8 \\c= -6[/tex]

Substitute the values into the formula.

[tex]x = \frac{{ - 8\pm \sqrt {8^2 - 4(1)(-6)} }}{{2(1)}}[/tex]

Solve inside the radical first.

Solve the exponent.

[tex]x = \frac{{ - 8\pm \sqrt {64 - 4(1)(-6)} }}{{2(1)}}[/tex]

Multiply 4, 1, and -6.

[tex]x = \frac{{ - 8\pm \sqrt {64 - -24}}}{{2(1)}}[/tex]

Add 64 and 24 (2 negative signs become a positive)

[tex]x = \frac{{ - 8\pm \sqrt {88}}}{{2(1)}}[/tex]

Solve the denominator.

[tex]x = \frac{{ - 8\pm \sqrt {88}}}{{2}}[/tex]

The radical can be simplified. 88 is divisible by a perfect square: 4

[tex]x= \frac{{ - 8\pm \sqrt {4}\sqrt{22} }}{{2}}[/tex]

Take the square root of 4.

[tex]x= \frac{{ - 8\pm 2\sqrt{22} }}{{2}}[/tex]

Divide by 2.

[tex]x= {{ - 4\pm \sqrt{22} }}[/tex]

The roots are: x=0.690416  and x=−8.69042

Answer: 11.4

Step-by-step explanation:

area of rect. = 24

area of circle (half circle+half circle = full circle) = pi*r^2 = pi*(2*2) = pi*4 = about 12.57

2 = radius since 4 = diameter

24-12.57 = 11.43

round = 11.4

Answer:

11.4

Step-by-step explanation:

Area=area of rectangle-area of circle

=6*4 -pi(2^2)

=11.4

area of circle =pi (r^2)

r-radius of circle

There are 4 lines between each number so each line would be 1/4

A is at -1 1/2

B is -3/4

C is 3/4

D is 1 3/4

Answer:

6/24

Step-by-step explanation:

Well, this ratio would be written as 6/24. Using your knowledge of equivalent fractions, you can see that 3/12 = 6/24 (multiply the numerator and denominator of 3/12 by 2 and you get 6/24.

Hope this helps you.

Mark as Brainliest Please.!!!

Answer:

8.97 %

Step-by-step explanation:

error is 8.5 - 7.8 inches = 0.7 inches

now

x % of 7.8  = 0.7

7.8x/100 = 0.7

x = 70/7.8 %

= 8.97 %

Answer:

Jo's estimate was 109% the actual answer

Step-by-step explanation:

109% of 7.8 is 8.502, round up to 8.5

May I have brainliest please? :)

it will take 1 hour to catch up to train a but if the question means from as soon as train a leaves, it is 3 hours.

The time taken by train B to cover the distance of 56 km when the train at the station is in 1 hour.

It is the study of the motion of a body without considering mass. And the reason behind them is neglected.

Train A leaves a station traveling at 28 km/hr.

Two hours later train B leaves the same station traveling in the same direction at 84 km/hr.

The distance traveled by the train A in two hours will be

[tex]\rm D_A=28 \times 2 = 56 km[/tex]

Then the distance between the trains when train B is at the station is 56 km.

Then the relative speed of the train will be

[tex]\rm V_{BA} =84 - 28 = 56 \ km/hr[/tex]

Then the time taken by train B to cover the distance of 56 km is in 1 hour.

More about the kinematics link is given below.

https://brainly.com/question/25638908

Answer:

b

Step-by-step explanation:

Answer:

The answer is C, 2/9

Step-by-step explanation:

Since there 18 marbles in total and 4 blue marbles, that makes the probability 4/18. Although, 4/18 has to be simplified, which is 2/9

Answer:

the new year was patrick's year and the second time she had the target audience in her career as an 34696468 )/684₩¥€=÷×+)^^*,?^&££)ktuioon

Answer:

Triangle JKL is congruent to triangle

✔ ABC

.

Side LK corresponds to sides

✔ WV and CB

.

Angle JLK corresponds to angles

✔ UWV and ACB

.

Step-by-step explanation:

just did it on edge 2020

Triangle JKL is congruent to triangle ABC.

Side LK corresponds to sides BC.

Angle JLK corresponds to angles BAC.

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

As per the given information,

ΔJKL ≅ ΔUVW: This means that triangle JKL is congruent to triangle UVW. Congruent triangles have the same shape and size, so their corresponding angles and sides are equal in measure and length, respectively.

ΔUVW ≅ ΔABC: This means that triangle UVW is congruent to triangle ABC.

Combining these two pieces of information, we can conclude that:

ΔJKL ≅ ΔABC: This is because if two triangles are congruent to the same triangle, then they must be congruent to each other. Therefore, triangle JKL is congruent to triangle ABC.

Side LK corresponds to sides BC: Corresponding sides of congruent triangles are equal in length. In this case, side LK corresponds to side VW (since JKL ≅ UVW), which corresponds to side BC (since UVW ≅ ABC).

Angle JLK corresponds to angles BAC: Corresponding angles of congruent triangles are equal in measure. In this case, angle JLK corresponds to angle UVW (since JKL ≅ UVW), which corresponds to angle BAC (since UVW ≅ ABC).

So, we can say that triangle JKL is congruent to triangle ABC, side LK corresponds to sides BC, and angle JLK corresponds to angles BAC.

To learn more about the congruent;

https://brainly.com/question/12413243

#SPJ7

Answer:

57/41

Step-by-step explanation:

41 * x = 57

x = 57/41

Answer:

$5.50 per gallon of paint

Step-by-step explanation:

To check answer: Divide: 16.50 ÷ 3

Answer:

plz

Step-by-step explanation:

thx

Answer:

its 4 hours

Step-by-step explanation:

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Reflection over the x-axis changes the sign of the y-coordinate. Points that were above the axis are reflected to be the same distance below the axis.

Answer: you have to divide

Step-by-step explanation:

Answer:

10 units

Step-by-step explanation:

600 units= 1 hour

1 hour= 60 minutes

600 units= 60 minutes

1 minute=600/60

1 minutes =10 units

Hope this helped! :)

Answer:

c

Step-by-step explanation:

i took the test.

A, D

Step-by-step explanation:

Cost ($) = C

lbs (Blueberries) = W

One pound of blueberries costs $2.75 because to find how much 1 lb is you need to divide by 6.

6 is the number of pounds at that point in the graph, so you divide both the pounds and cost by 6 to find how much 1 lb is.

To find how much 5 lbs costs, multiply both the cost and number of pounds ($2.75 to 1 lb) by 5.

2.75 * 5 is 13.75 (This means C is wrong)

Do the same but with 12 for D

2.75 * 12 is 33, so D is correct

You could do the same method as above for E, but the easier way to do this is to see that the relationship of 3:9 is equal to a 1:3 ratio, which is the same as what the pounds to cost ratio is (which is 1:2.75)

Hope this helps! ^_^

-TheUnknownScientist

Answer:

40 cans weigh over 14.7 ounces

Step-by-step explanation:

Given

Mean = 14 ounces

SD = 0.7

We have to find the z-score for 14.7 first

[tex]z = \frac{14.7-14}{0.7}\\z = \frac{0.7}{0.7} = 1[/tex]

As we have to find the number of cans greater than 14.7, forst we will find the area to the left of obtained z-score and then subtract from 1.

So,

P(z<1) = 0.8413

Now,

P(z>1) = 1 - P(z<1) = 1-0.8413 = 0.1587

As the total number of cans is 250,

The cans which weigh over 14.7 are:

= 0.1587 * 250

= 39.675

Rounding off to nearest whole number

40 cans

Hence,

40 cans weigh over 14.7 ounces

Answer:

40 cans

Step-by-step explanation:

round your final answer to get 40

Answer:

$22.5

Step-by-step explanation:

multiply 900 by .025 to get 22.5.

When you multiply by a percentage to find an ammount, move the decimal place over to the left by 2 places and then multiply by the number (in this case 900). Whatever number you recieve is the answer.

The total commission Tyler's brother was earn is $22.5 and this can be determined by using the unitary method.

Given :

The following steps can be used in order to determine the total commission Tyler's brother was earn:

Step 1 - The unitary method can be used in order to determine the total commission Tyler's brother was earn.

Step 2 - According to the given data, he sold $900 worth of shoes which is 100% value.

Step 3 - If 100% is $900 then the value of 2.5% is:

[tex]=\dfrac{2.5}{100}\times 900[/tex]

Step 4 - Simplify the above expression.

= $22.5

For more information, refer to the link given below:

https://brainly.com/question/11897796

Answer:

Either 4, 22, or 44

Step-by-step explanation:

Choose one :)

Thank you!

Answer:

4

2+2=4 it is easyyy