Ask question

Ask question

All categories

1 year ago

10

Clay and Clod thought of the same number. Clay divided the number by 7 to that number and added 14 to the result. He got 23. Clo

d did the same operations with their number, but in the reversed order. What did she get?

1 answer:

Nesterboy [21]1 year ago

5 0

Clod would get 11, because the number they both thought of was 63

You might be interested in

What is f(x) = 7x2 + 42x written in vertex form?

amid [387]

Answer:

$\boxed{\boxed{y = 7(x+3)^2-63}}$

Step-by-step explanation:

The general vertex form of parabola is,

$y=a(x-h)+k$

where,

(h, k) is the vertex of the parabola.

The given function is,

$\Rightarrow f(x) = 7x^2 + 42x$

$\Rightarrow y = 7x^2 + 42x$

$\Rightarrow y = 7(x^2 + 6x)$

$\Rightarrow y = 7(x^2 + 2\cdot x\cdot 3)$

$\Rightarrow y = 7(x^2 + 2\cdot x\cdot 3+3^3-3^2)$

$\Rightarrow y = 7(x^2 + 2\cdot x\cdot 3+3^3)-7\cdot 3^2$

$\Rightarrow y = 7(x+3)^2-7\cdot 9$

$\Rightarrow y = 7(x+3)^2-63$

This is vertex form the given function.

7 0

1 year ago

Read 2 more answers

In order to estimate the average electricity usage per month, a sample of 125 residential customers were selected, and the month

mr_godi [17]

Answer:

[895.05; 940.81]kWh

Step-by-step explanation:

Hello!

Be X: monthly electricity usage by a residential customer

X~N

σ²: 12100KWh²

To estimate the population mean using a 98% CI you have to use the following formula

[X[bar]± $Z_{1-\alpha /2}$ * $\frac{Sigma}{\sqrt{n} }$ ]

1-α: 0.98

α0.02

α/2: 0.01

1-α/2:0.99

$Z_{1-\alpha /2}= Z_{0.99}= 2.326$

n= 125

X[bar]= ∑X/n= 228565/125= 917.93

[917.93±2.326 * $\frac{110}{\sqrt{125} }$ ]

[895.05; 940.81]

Using a 98% confidence level you'd expect that the interval [895.05; 940.81]kWh will include the average monthly electricity usage of residential customers.

I hope this helps!

Raw data:

Electric Usage

765

1139

714

687

1027

1109

749

799

911

631

975

717

1232

806

637

894

856

896

1272

1224

621

606

898

723

817

746

933

595

851

1027

770

685

750

1198

975

678

1050

886

826

1176

583

841

1188

692

733

791

584

1163

593

1234

603

1044

1233

1178

598

904

778

693

590

845

893

1028

975

788

1240

1253

854

1185

1164

741

1058

1053

795

1198

1240

1140

959

938

1008

1035

1085

1100

680

1006

977

1042

1252

943

1165

1014

912

791

612

935

864

953

667

1005

1063

1095

1086

810

1032

970

1099

1229

892

1074

579

754

1007

1116

583

763

1231

966

962

1132

738

1033

697

891

840

725

1031

7 0

2 years ago

an arctic village skiing trail has a radius of 1 kilometer. a skier started at the position (1,0) on the coordinate axes and ski

EastWind [94]

.6 radius lengths
If the radius is 1 km and he traveled to .6 km around the circumference he traveled .6/1 of the radius length or .6 radii

3 0

1 year ago

Given the point (-3, 6) and a line y=2x-8, write an equation of a line through the point and parallel to the line.

ch4aika [34]

Answer: y = 2x

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The equation of the given line is

y = 2x - 8

Comparing with the slope intercept form, slope = 2

If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 3,-6) is 2

To determine the intercept, we would substitute m = 2, x = - 3 and

y = - 6 into y = mx + c. It becomes

- 6 = 2 × - 3 + c

- 6 = - 6 + c

c = - 6 + 6 = 0

The equation becomes

y = 2x

7 0

1 year ago

By what number must 566 be divided so as to give a quotient 15 and a remainder 11? (with steps)

olchik [2.2K]

Answer:

37

Step-by-step explanation:

we would had to call the number needed a random value or call it x but

let's do the calculation backward to ease things up

(566 - 11) ÷15 ➡ 555 ÷ 15 = 37

6 0

1 year ago