3/8, -2 , 34% , -4/9 from least to greatest

Penelope is going to the carnival to ride the rides. It costs $20 to get into the

Dimas [21]

Answer:

35=0.5x+20

Step-by-step explanation:

y=mx+b

35= money you can spend

0.5= cost of each ride

x=number of rides you ride

20= price to enter

5 0

3 years ago

Find the volume of a pyramid with a square base, where the perimeter of the base is

ELEN [110]

Answer: 53.333

Step-by-step explanation: you have to use the formula base times height divided by 3 please mark me the branliest

5 0

3 years ago

A ball is rolling in a circular path that has a radius of 10 inches as shown in

elena55 [62]

The complete question in the attached figure

we know that
[circumference]=2*pi*r
for r=10 in
[circumference]=2*pi*10-----> 62.8 in

if 360° (full circle) has a length of --------> 62.8 in

54°------------------------------> X
x=54*62.8/360-----> x=9.42 in

the answer is 9.42 in

5 0

3 years ago

A sample of salary offers (in thousands of dollars) given to management majors is: 48, 51, 46, 52, 47, 48, 47, 50, 51, and 59. U

balu736 [363]

Answer:

Step-by-step explanation:

number of samples, n = 10

Mean = (48 + 51 + 46 + 52 + 47 + 48 + 47 + 50 + 51 + 59)/10 = 49.9

Standard deviation = √(summation(x - mean)/n

Summation(x - mean) = (48 - 49.9)^2 + (51 - 49.9)^2 + (46 - 49.9)^2+ (52 - 49.9)^2 + (47 - 49.9)^2 + (48 - 49.9)^2 + (47 - 49.9)^2 + (50 - 49.9)^2 + (51 - 49.9)^2 + (59- 49.9)^2 = 128.9

Standard deviation = √128.9/10 = 3.59

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Margin of error = z × s/√n

Where

s = sample standard deviation

From the information given, the population standard deviation is unknown and the sample size is small, hence, we would use the t distribution to find the z score

In order to use the t distribution, we would determine the degree of freedom, df for the sample.

df = n - 1 = 10 - 1 = 9

Since confidence level = 95% = 0.95, α = 1 - CL = 1 – 0.95 = 0.05

α/2 = 0.05/2 = 0.025

the area to the right of z0.025 is 0.025 and the area to the left of z0.025 is 1 - 0.025 = 0.975

Looking at the t distribution table,

z = 2.262

Margin of error = 2.262 × 3.59/√10

= 2.57

the lower limit of this confidence interval is

49.9 - 2.57 = 47.33

the lower limit of this confidence interval is

49.9 + 2.57 = 52.47

So it is false

6 0

3 years ago

Mary knits scarves and sweaters to sell. Scarves take 2 hours to knit and sweaters take 10 hours. Mary would like to spend no mo

sveticcg [70]

Answer:

The system of inequalities is

$2x+10y\leq 40$

$x+y\geq 5$

The solution in the attached figure

Step-by-step explanation:

<u><em>The question is</em></u>

Write a system of linear inequalities.

Le

x ---> number of scarves knitted per week

y ---> number of knitted sweaters per week

we know that

Mary would like to spend no more than 40 hours per week knitting

The word "No more" means "less than or equal to"

so

$2x+10y\leq 40$ ----> inequality A

Mary would like to knit at least 5 items per week

The word "at least" means "greater than or equal to"

$x+y\geq 5$ ----> inequality B

Solve the system by graphing

The solution is the triangular shaded area

see the attached figure

7 0

3 years ago