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vlada-n [284]
3 years ago
12

Miguel volunteers at his local food pantry and takes note of how much money is donated each day during a 10-day fundraising phon

e-a-thon. Below is the graph that represents the data that he collected. The slope of the line that represents the data that Miguel collected is 25, and the y-intercept is 50. What do the slope and y-intercept represent in Miguel’s situation? The slope indicates that the food pantry collects $50 each day. The y-intercept indicates that the pantry began with $50 in its donation account. The slope indicates that the food pantry collects $25 each day. The y-intercept indicates that the pantry began with $25 in its donation account. The slope indicates that the food pantry collects $25 each day. The y-intercept indicates that the pantry began with $50 in its donation account. The slope indicates that the food pantry collects $50 each day. The y-intercept indicates that the pantry began with $25 in its donation account.
Mathematics
1 answer:
tangare [24]3 years ago
4 0

Answer:bbb

Step-by-step explanation:

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A population increases 3% each year. If the city is now 5 million, what will the population be in 5 years?
Step2247 [10]
5 million x 3% = 150,000
1 Year = 5,150,000

5.15 million x 3% = 154,500
2 Years = 5,304,500

5,304,500 x 3% = 159,135
3 Years = 5,463,635

5,463,635 x 3% = 163,909.05
4 Years = 5,627,544.05

5,627,544.05 x 3% = 168,826.322
5 Years = 5,796,370.37

After 5 years, the population will be 5,796,370.37
8 0
3 years ago
Which of the following is true about a parallelogram? A. Opposite angles of a parallelogram are not congruent. B. Parallelograms
mafiozo [28]

Answer: The option is D.

Step-by-step explanation:

A line that intersects another line segment and separates it into two equal parts is called a bisector.

In a quadrangle, the line connecting two opposite corners is called a diagonal. We will show that in a parallelogram, each diagonal bisects the other diagonal.

Problem

ABCD is a parallelogram, and AC and BD are its two diagonals.  Show that AO = OC and that BO = OD

Strategy

Once again, since we are trying to show line segments are equal, we will use congruent triangles. And here, the triangles practically present themselves. Let’s start with showing that AO is equal in length to OC, by using the two triangles in which AO and OC are sides: ΔAOD and  ΔCOB.

There are all sorts of equal angles here that we can use. Several pairs of (equal) vertical angles, and several pairs of alternating angles created by a transversal line intersecting two parallel lines. So finding equal angles is not a problem. But we need at least one side, in addition to the angles, to show congruency.

As we have already proven, the opposite sides of a parallelogram are equal in size, giving us our needed side.

Once we show that ΔAOD and  ΔCOB are congruent, we will have the proof needed, not just for AO=OC, but for both diagonals, since BO and OD are alsocorresponding sides of these same congruent triangles.

ABCD is a parallelogram    

Given

AD || BC                                

From the definition of a parallelogram

AD = BC                                 Opposite sides of a parallelogram are equal in size

∠OBC ≅ ∠ODA                      Alternate Interior Angles Theorem, ∠OCB ≅ ∠OAD                      Alternate Interior Angles Theorem,

ΔOBC ≅ ΔODA                     

Angle-Side-Angle

BO=OD                                Corresponding sides in congruent triangles AO=OC                             Corresponding sides in congruent triangles.

5 0
3 years ago
John caught 4/5 of a pound of fish in 1/2 days. Which unit rate represents the number of pounds in one day?
Ivanshal [37]
I think that it’s A) 2/5. I just multiplied the fractions with each other.
4 0
3 years ago
Read 2 more answers
Seven pounds of grapes cost 10.43. How much would 3 pounds cost?
KiRa [710]
To answer this we will find the unit rate by dividing. Lets do it:-

10.43 ÷ 7 = 1.49
1 pound of grapes = $1.49

CHECK OUR WORK:-

1.49 × 7 =  10.43
we were RIGHT!!!

Now lets multiply to see how much 3 pounds would cost. 

1.49 × 3 = 4.47

CHECK OUR WORK:-

4.47 ÷ 3 = 1.49
We were RIGHT!!

So, 3 pounds of grapes cost $4.47. 

Hope i helped ya!! 
8 0
3 years ago
Read 2 more answers
Let’s assume that, over the years, a paper and pencil test of anxiety yields a mean score of 35 for all incoming college freshme
vovangra [49]

Answer:

|t| = 2.235 > 2.093

we rejected null hypothesis.

It is not coming from population

Step-by-step explanation:

<u>Step:-1</u>

Let’s assume that, over the years, a paper and pencil test of anxiety yields a mean score of 35 for all incoming college freshmen.

μ = 35

small sample size n =20

mean of the sample   x⁻ = 30

standard deviation of  (S) = 10

<u>Null hypothesis</u> :- The difference between x⁻  and μ is not significant

<u>Alternative hypothesis</u>:- The difference between x⁻  and μ is significant

that is μ ≠ 35

<u>Level of significance </u>:-∝ =0.05

<u>The test statistic:- </u>

<u></u>t = \frac{x^{-} - population mean}{\frac{S}{\sqrt{n} } }<u></u>

<u>substitute all values in above equation</u>

μ = 35 ,n =20

mean of the sample   x⁻ = 30

standard deviation of  (S) = 10

t = \frac{30 - 35}{\frac{10}{\sqrt{20} } }

t= -2.235

|t| = 2.235

The degrees of freedom γ =n-1 =20-1 =19

By tabulated value of 't' for 19 degrees of freedom at 5% level of significance.= 2.093 for two tailed test.(see attached diagram below)

<u>conclusion</u>:-

|t| = 2.235 > 2.093

we rejected null hypothesis.

It is not coming from population

<u></u>

8 0
3 years ago
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