The school nurse would like to compare the daily calorie consumption of some teachers to their weight. The data are given below: Calorie 1960 2160 1530 1690 Weight 75 74 78 80 Calorie 1580 1780 2170 1820 1880 Weight 77 85 79 82 78

Answer:

y= 3/5x+5

Step-by-step explanation:

The y intercept is 5 and the graph is going upwards so it is a postive slope. If you look at at the graph from the y intercept point to point B you can see it goes up by 3 and right by 5 so the slope is 3/5. This makes the equation y=3/5x+5

Answer:

H.

Step-by-step explanation:

16x^2 is the big square area and the -10x comes from subtracting the smaller area from the big one

Answer:

H. is the answer

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

thx for the points mwah

Step-by-step explanation:

Answer:

B. 14.62

Step-by-step explanation:

Given that

The significance level is 0.025

We need to find out the degree of freedom df(7,3)

So for this please see the attached table

And, the calculation is given below;

As we can see that f-value = 14.62

df1=7

and

df2=3

Therefore the second option is correct

The same is relevant and considered

Answer:

x=17 plz the brainliest!

Step-by-step explanation:

3x+39=90

3x+39-39=90-39

3x=51

\frac{3x}{3}=\frac{51}{3}

x=17

Answer:

1/3

Step-by-step explanation:

1/3

Step-by-step explanation:

1/6 ÷ 1/2

Copy dot flip

1/6 * 2/1

Multiply

2/6

Reduce

1/3

Answer:

9/25

Step-by-step explanation:

Answer:

[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5) = \sqrt{14} - \sqrt{10} +\sqrt{35} - 5[/tex]

Step-by-step explanation:

Given

[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5)[/tex]

Required

Solve

We have:

[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5)[/tex]

Open bracket

[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5) = \sqrt{2*7} - \sqrt{2*5} +\sqrt{5*7} - \sqrt{5* 5}[/tex]

[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5) = \sqrt{14} - \sqrt{10} +\sqrt{35} - 5[/tex]

Answer:

152

Step-by-step explanation:

The required measure of the angle ∠JML  is given as 98°.

A quadrilateral is a four-sided shape as given in the picture in question.

Here,
∠KLM = ∠MJK = 103°
∠ JKL = 2×28 = 56°

The required measure of the ∠JML is given as,
A quadrilateral has 4 angles. The sum of its interior angles is 360 degrees. So the sum of the angle of the kite is equal to 360°

∠KLM + ∠ JKL + ∠MJK + ∠ JML = 360

103 + 56 + 103 + ∠JML = 360
∠JML = 98°

Thus, the required measure of the angle ∠JML  is given as 98°.

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Answer:

area: 169

perimeter: 52

Answer:

A

Step-by-step explanation:

Because x has the degree one and it’s figure at the numerator

Answer:

I'm pretty sure the answer is A

Step-by-step explanation:

range can have multiple domain but domain can't have multiple ranges. So you can have (1,3) , (2,3) , (4,3)

but you can NOT HAVE (1,1) , (1,2) , (1,6)

the x value can not repeat in order for it to be a function due to the vertical line test thing

Answer:

y = 0.125x² - 0.5x + 3.5

Hope that this helps!

Answer:

y = 0.125x² - 0.5x + 3.5

Step-by-step explanation:

I dont know if its correct hope it helped

Answer:

151 students must be selected.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

The population standard deviation is known to be $25.

This means that [tex]\sigma = 25[/tex]

How many students must be randomly selected to estimate the mean weekly earnings of students at one college? Sample mean within $4 of the population mean

This is n for which M = 4. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]4 = 1.96\frac{25}{\sqrt{n}}[/tex]

[tex]4\sqrt{n} = 1.96*25[/tex]

[tex]\sqrt{n} = \frac{1.96*25}{4}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*25}{4})^2[/tex]

[tex]n = 150.1[/tex]

Rounding up:

151 students must be selected.

Answer:

36

Step-by-step explanation:

If there are 9 apartnments for everyletter 9 times the four letters is 36

9 * 4 = 36

The total number of apartments if The apartments in Greg's building are named using the letters A, B, C, and D, and the digits 1 through 9, are 36.

A combination is a choice of items from a group of different items, where the order of the choices is irrelevant.

Given:

The apartments in Greg's building are named using the letters A, B, C, and D and the digits 1 through 9,

Calculate the total number of apartments as shown below,

The number of apartments = total number of digits × total number of letters,

The number of apartments = (1, 2, 3, 4, 5, 6, 7, 8, 9) × (A, B, C, D)

The number of apartments = 9 × 4

The number of apartments = 36

Thus, The total number of apartments is 36.

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Answer:

A conversion factor is a number used to change one set of units to another, by multiplying or dividing. When a conversion is necessary, the appropriate conversion factor to an equal value must be used. For example, to convert inches to feet, the appropriate conversion value is 12 inches equal 1 foot.

Step-by-step explanation:

Answer:

i think it's 0.66666666666 or 1.5

Answer:

The quotient is 1.5.

Step-by-step explanation:

Answer:

Ganancia neta de la ciencia y dibujos de los gobernante en la vida de las ciudadanos y ciudadanas que ah implementado la Municipalidad de tu distrito para enfrentar la pandemia de mi corazón del gobierno estás a cargo del gobierno estás a cargo

Step-by-step explanation:

Answer:

the  incidence of the depression is  1 ÷ 5

Step-by-step explanation:

Given that

There is 250 college students that are surveyed

In the case when 75 students reported for minimum ne engineering class

And, out of this 15 students would be depressed

We need to find out the incidence of the depression

So

= 15 ÷ 75

= 1 ÷ 5

Hence, the  incidence of the depression is  1 ÷ 5

Step-by-step explanation:

Edit:

a is 18

b is 36

c is 18

d is 18 times sqr root of 3

Answers:

sqrt is shorthand for "square root"

=====================================================

Explanation:

The smaller triangle on the left is a 45-45-90 triangle (aka isosceles right triangle). One special property of such triangles is that the legs are the same length, meaning a = c. Another special feature is that the hypotenuse is exactly sqrt(2) times that of the leg.

In other words, if x is the leg length, then x*sqrt(2) is the length of the hypotenuse. That means mean a = 18 in order for the hypotenuse to be 18*sqrt(2). This then leads to c = 18 as well.

--------------

The smaller triangle on the right side has a = 18 as the shorter leg, opposite the smallest angle (30 degrees). The hypotenuse b is twice that of the short leg, and this works because we're dealing with a 30-60-90 triangle. Therefore b = 2a = 2*18 = 36.

The longer leg d is equal to sqrt(3) times the short leg, ie,

d = a*sqrt(3)

d = 18*sqrt(3)

You could use the pythagorean theorem to solve for d like so:

a^2 + d^2 = b^2

18^2 + d^2 = 36^2

d^2 = 972

d = sqrt(972)

d = 18*sqrt(3)

I skipped a bunch of steps, but you get the idea.

Here's the solution :

In a sphere,

[tex] \boxed{ \mathsf{surface \: \: area = 4\pi {r}^{2} }}[/tex]

now, let's solve :

hence, correct answer is B. 100π unit²

The surface area of the sphere is 100 π unit².

The correct option is B.

The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface. Square units are used to measure it as well.

We have,

Radius of Sphere= 5 unit

Now, the formula for Surface area of Sphere is

= 4πr²

= 4 (3.14) (5)(5)

= 4 x 3.14 x 25

= 314

= 10 π unit²

Thus, the Surface area is 10 π unit².

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Answer:

C

Step-by-step explanation:

Answer:

43 is answer

Step-by-step explanation:

65+x+2+70=180

137+x=180

x=43

Answer:

[tex]Fraction = \frac{31}{38}[/tex]

[tex]\theta = 296.18^\circ[/tex]

[tex]Area = 29.62 \pi[/tex]

Step-by-step explanation:

Given

[tex]r = 6[/tex]--- radius

[tex]L = 31[/tex] --- arc length

Solving (a): Fraction represented by the arc

First, calculate the circumference (C)

[tex]C = 2\pi r[/tex]

So, we have:

[tex]C = 2 * 3.14 * 6[/tex]

[tex]C = 38[/tex] --- approximated

So, the fraction represented by the arc is:

[tex]Fraction = \frac{L}{C}[/tex]

[tex]Fraction = \frac{31}{38}[/tex]

Solving (b): Measure of the center angle

Using arc length formula, we have:

[tex]L = \frac{\theta}{360} * 2\pi r[/tex]

This gives

[tex]31 = \frac{\theta}{360} * 2 * 3.14 * 6[/tex]

[tex]31 = \frac{\theta}{360} * 37.68[/tex]

Make [tex]\theta[/tex] the subject

[tex]\theta = \frac{360 * 31}{37.68}[/tex]

[tex]\theta = 296.18^\circ[/tex]

Solving (c): The area of the sector

This is calculated as:

[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]

So, we have:

[tex]Area = \frac{296.18}{360} * \pi * 6^2[/tex]

[tex]Area = \frac{296.18}{360} * \pi * 36[/tex]

Divide 360 and 36

[tex]Area = \frac{296.18}{10} * \pi[/tex]

[tex]Area = 29.618 * \pi\\[/tex]

[tex]Area = 29.62 \pi[/tex] --- approximated

Answer:

Rectangle: bh or l · w

Circle: pi(r)²

Answer: 4 X's on 2 1/2, 3 X's on 3, 2 X's on 3 1/2, 1 X on 4

Step-by-step explanation:

The graph of y = -f(x) is increasing on the interval ( 5, 7) if the function y = f(x) is decreasing on the interval ( 5, 7).

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

Suppose that the function y = f(x) is decreasing on the interval ( 5, 7).

The function:

y = -f(x)

Let f(x) be:

f(x) = -aˣ

Here 'a' is the real number a > 0

f(x) is decreasing on the interval ( 5, 7).

Applying transformation:

y = -f(x)

y = aˣ

Function y is increasing on the interval ( 5, 7).

Thus, the graph of y = -f(x) is increasing on the interval ( 5, 7) if the function y = f(x) is decreasing on the interval ( 5, 7).

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Answer:

D

Step-by-step explanation:

Time is directly proportional to the Cost. And if you use the calculator you'll still get the answer by substituting the time into 21t

Answer:

m<E = 60 deg

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180 deg.

m<E + m<F + m<G = 180

m<E + 75 + 45 = 180

m<E + 120 = 180

m<E = 60

Answer:

60 is the ans

Step-by-step explanation:

let angle E be x

then add all sides of triangle and subtract it from 180 you will get 60 degree as ans