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3 years ago

11

a survey asked two age groups which summer sport they most preferred. the results are shown in the table below. which sport was

most preferred by people by ages 20-29 and what is the relative frequency within this age group?

2 answers:

pogonyaev3 years ago

5 0

Answer: Hiking was most prefered between ages 20-29

saveliy_v [14]3 years ago

3 0

Answer:

Step-by-step explanation:

Given that a survey asked two age groups which summer sport they most preferred. the results are shown in the table below.

We have to find which sport was most preferred by people by ages 20-29 and what is the relative frequency within this age group

From the table we find that age group 20-29 prefers s

ski 15 $\frac{15}{268}$

Swim 88 $\frac{88}{268}$

Kayak 42 $\frac{42}{268}$

Hike 123 $\frac{123}{268}$

Total 268 1

We find that hike liking are more in this age group

Relative frequency calculated as frequency/268 is shown above.

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Two tailors, Valentina and Laura, sit down to do some embroidery. Valentina can embroider 2 shirts per hour, and Laura can get t

mina [271]

Answer:

Valentina and Laura finished the same total number of shirts in $4$ hours.

Total number of shirts finished by Valentina $=23$

Total number of shirts finished by Laura $=23$

Step-by-step explanation:

Suppose that Valentina and Laura finished the same total number of shirts in $t$ hours.

Valentina can embroider 2 shirts per hour and Valentina has already completed 15 shirts.

Total number of shirts finished by Valentina $=2t+15$

Laura can get through 3 shirts per hour and Laura has completed 11 shirts.

Total number of shirts finished by Laura $=3t+11$

Therefore,

$2t+15=3t+11\\3t-2t=15-11\\t=4$

So,

Valentina and Laura finished the same total number of shirts in $4$ hours.

Total number of shirts finished by Valentina $=2(4)+15=8+15=23$

Total number of shirts finished by Laura $=3(4)+11=12+11=23$

6 0

2 years ago

Nicole has a job transporting soft drinks by truck. Her truck is filled with cans that weigh 14 ounces each and bottles that wei

Rufina [12.5K]

Answer:

$W_{total} = -56X + 68600$

Step-by-step explanation:

We wil define:

1) "x" as number of cans inside the truck.

2) "y" as number of bottles inside the truck.

We now that the amount of both cans and bottles inside the truck is "980". This quantity is equal to the sum of cans and bottles, so now we can write:

$X+Y=980$

We will call this expression equation n° 1.

On the other hand, we know that the total weight is a sum of the weight of the cans and the weight of the bottles. The total weight of the cans, for example, is the result of multiplying the numbers of cans in the truck with the weight of each can, like here: ( $W_{cans} = X * 14 oz$

So now we can write:

$W_{total} = (X*14oz) + (Y*70oz)$

We well call this expression equation n° 2.

From equation n°1 we obtain "y", like this:

$X + Y = 980\\Y = 980 - X$

And we replace it in equation n°2:

$W_{total} = (X*14) + (Y * 70)\\\\W_{total} = 14X + 70Y\\W_{total} = 14X + 70(980-X)\\W_{total} = 14X + 68600 - 70X\\W_{total} = -56X + 68600$

Now we have the expression of the total weight considering the amount of cans in the truck.

*** IMPORTANT: there is a character similar to an "A" that i can't erase, maybe is a mistake from brainly. Do not consider it as part of the solution.

5 0

3 years ago

grandymaker [24]

Answer:

x = 84

y = 96

Step-by-step explanation:

Alternate interior angles are a pair of nonadjacent interior angles that are on opposite sides of the transversal. Alternate interior angles are equal.

Therefore, x = y - 12

Angles on a straight line add up to 180°

Therefore, x + y = 180

Substituting x = y - 12 into x + y = 180 and solve for y:

⇒ y - 12 + y = 180

⇒ 2y - 12 = 180

⇒ 2y = 192

⇒ y = 96

Substitute found value for y into x = y - 12 and solve for x:

⇒ x = 96 - 12

⇒ x = 84

5 0

2 years ago

Read 2 more answers

Alexander and his children went into a grocery store and he bought $6 worth of bananas and peaches. Each banana costs $0.60 and

bonufazy [111]

Answer:

he bought 5 peaches 2 bananas

Step-by-step explanation:

7 0

3 years ago

Complete the equation to represent finding x, the greater integer. x(x – ) = 143 What is the greater integer?

arlik [135]

Answer:

$x * (x - 2) = 143$

Where $x = 13$

Step-by-step explanation:

Given

$x (x - \_) = 143$

Required

Complete the blank

The complete question implies that the product include 2 consecutive odd numbers.

Two numbers whose products equal 143 are: 11 and 13

i.e. $11 * 13 = 143$

So, we have:

$x * (x - \_) = 13 * 11$

By comparison, we have:

$x = 13$

$x - \_ = 11$

Collect like terms

$\_ = x - 11$

Substitute 13 for x

$\_ = 13 - 11$

$\_ = 2$

So, the complete equation is:

$x * (x - 2) = 143$

Where $x = 13$

8 0

2 years ago