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4 years ago

Sonji paid $25.00 for two scarves, which were different prices. When she got home she could not find the receipt. She

2 answers:

8 0

Let the less expensive scarf be x

expensive scarf = $3 + x

According To The Question,

x+x+$3=$25

2x+$3=25

2x=22

x=$11

expensive scarf = x + $3 = $11 + $3 = $14

HOPE THIS WILL HELP YOU

Aleks04 [339]4 years ago

5 0

Answer:

$14

Step-by-step explanation:

Sony paid for two scarves = $ 25

We are given that one scarf cost $3 more than the other

Let the cost of one scarf be x

So, cost of another scarf = x+3

Since the total cost is $25

So, $x+x+3=25$

$2x+3=25$

$2x=22$

$x=\frac{22}{2}$

$x=11$

So, cost of one scarf = $11

Cost of another scarf = x+3=11+3=14

Hence the cost of the expensive scarf is $14

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Calculate the sample standard deviation and sample variance for the following frequency distribution of heart rates for a sample

adelina 88 [10]

Answer:

$\sigma = 12.5$ ---- sample standard deviation

$\sigma^2 = 157.2$ ---- sample variance

Step-by-step explanation:

Solving (a): The sample variance

First, we calculate the midpoint of each class (this is the average of the limits)

So, we have:

$x_1 = \frac{56 + 64}{2} = 60$

$x_2 = \frac{65 + 73}{2} = 69$

And so on

So, the table becomes:

$\begin{array}{cc}{x} & {f} & {60} & {11} & {69} & {15} & {78} & {14} & {87} & {4} & {96} & 11 \ \end{array}$

Calculate the mean

$\bar x = \frac{\sum fx}{\sum f}$

$\bar x = \frac{60*11+69*15+78*14+87*4+96*11}{11+15+14+4+11}$

$\bar x = \frac{4191}{55}$

$\bar x = 76.2$

The variance is:

$\sigma^2 = \frac{\sum f(x - \bar x)^2}{\sum f - 1}$

So, we have:

$\sigma^2 = \frac{(60 - 76.2)^2*11+(69 - 76.2)^2*15+(78 - 76.2)^2 *14+(87 - 76.2)^2*4+(96 - 76.2)^2*11}{11+15+14+4+11-1}$

$\sigma^2 = \frac{8488.8}{54}$

$\sigma^2 = 157.2$

The sample standard deviation is:

$\sigma = \sqrt{\sigma^2$

$\sigma = \sqrt{157.2$

$\sigma = 12.5$

Solving (b): The sample variance

In (a), we calculate the sample variance to be:

$\sigma^2 = 157.2$

6 0

3 years ago

Two similar triangles are shown.

scZoUnD [109]

Answer:

rotated

Step-by-step explanation:

The triangle MNO has already been dilated and therefore, the answers were left to 3: rotated, reflected and translated. Triangle YHQ is not an image of triangle MNO. Thus, leaving only 2 choices: rotated and translated. If triangle MNO was translated, triangle YHQ was supposed to be in the same position as triangle MNO is and leaving only 1 option which is rotated.

8 0

4 years ago

Read 2 more answers

Determine the value of x in the figure. answers: A) x = 90 B) x = 40 C) x = 45 D) x = 135

guapka [62]

Answer:

Please mark be brainliest and I hoped this helped!

x = 45°

Step-by-step explanation:

Since this is an isosceles triangle, that means that x, and the angle opposite from x, are the same. We take 135° and subtract that from 180°. That gives us 45°. Since the angle opposing x is 45°, then x is 45° as well.

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3 years ago

A fitness center runs a contest for customers who enroll in its annual membership plan. The customers are allowed to draw a coup

Alchen [17]

There are 35 coupons in the jar.
The probability to choose coupon for 1 month of extended membership is $p(A)= \frac{20}{35} = \frac{4}{7}$ .
The probability to choose coupon for 1.5 months of extended membership is $p(B)= \frac{10}{35} = \frac{2}{7}$ .

Answer: With probability $\frac{4}{7}$ a customer will get 30 days extended membership, 
with probability $\frac{2}{7}$ a customer will get 450 days extended membership,
with probability $\frac{1}{7}$ a customer will get 60 days extended membership.
The probability to choose coupon for 1 month of extended membership is $p(C)= \frac{5}{35} = \frac{1}{7}$ .
Together P(A)+P(B)+p(C)=1.

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4 years ago

A 6 ft tall petrified stump standing next to a car casts a 12 ft shadow. If the car casts a shadow that is 6 ft long, then how t

sveta [45]

Answer:

3 feet tall

Step-by-step explanation:

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3 years ago