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3 years ago

Liz and Sara are making cookies for a bake sale. The graph shows the number of cookies that Liz bakes during a 5-hour period.

Mathematics

1 answer:

Radda [10]3 years ago

6 0

Statements

case A) Sara had baked more cookies at the start of the $5$ hours than Liz

The statement is True

we know that

At the start of the $5$ hours Liz has baked $220$ cookies-----> see the graph

Find the number of cookies that Sara has baked for $x=5$ hours

$y=45x+38$

$y=45*5+38=263$

$263 > 220$

therefore

Sara had baked more cookies at the start of the $5$ hours than Liz

case B) Sara bakes $45$ cookies each hour

The statement is True

we know that

The number of cookies baked each hour is equal to the slope of the linear equation

The linear equation is

$y=45x+38$

The slope is $m=45\frac{cookies}{hour}$

case C) Liz bakes $19$ cookies each hour

The statement is false

Find the slope of the Liz graph

The slope is equal to

$m=\frac{y2-y1}{x2-x1}$

Let

$A(0,19)\ B(4,179)$

Substitute the values

$m=\frac{179-19}{4-0}$

$m=40\frac{cookies}{hour}$

case D) Liz bakes more cookies each hour than Sara

The statement is False

Sara bakes $45$ cookies each hour

Liz bakes $40$ cookies each hour

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Which description does NOT guarantee that a quadrilateral is a rectangle?

Kisachek [45]

Answer: A

a quadrilateral with all four angles right

Step-by-step explanation:

A quadrilateral is a rectangle if a quadrilateral has all four angles right,

a parallelogram with congruent sides

a quadrilateral with diagonals that are congruent and bisect each other

a quadrilateral with all congruent angles. Because a rectangle possesses 2 pairs of parallel sides, 4 right angles at 90°. It has opposite sides which

are parallel and congruent. And all its angles are congruent.

But a quadrilateral with all four angles right is a description that does NOT guarantee that a quadrilateral is a rectangle. Because this description is also applicable to a square.

8 0

3 years ago

Keisha, Scott, and Ryan have a total of $101 in their wallets. Keisha has $6 more than Scott. Ryan has 3 times what Scott has. H

Yuri [45]

Answer:

Keisha =$25

Scott =$19

Ryan = $57

Step-by-step explanation:

Let the amount each have be represented by A, B and C

Keisha = A

Scott = B

Ryan = C

Keisha , Scott and Ryan have a total of $101.

That’s

A + B + C = $101

Keisha has $6 more than Scott

A = 6 + B

Ryan has 3 times Scott

C = 3B

Substitute 6+B for A and 3B for C in the first equation.

That’s

A + B + C = 101

6 + B + B + 3B = 101

6 + 5B = 101

Subtract 6 from both sides

6 - 6 + 5B = 101 - 6

5B = 95

Divide both sides by 5

B = 95/5

B = 19

Scott has $19

Recall Keisha has $6 more than Scott B.

That’s A = 6 + B

A = $6 + $19

A = $25

Keisha has $25

Also, Ryan C has 3 times what Scott B has .

That’s

C = 3 x B

C = 3 x 19

C = $57

Therefore, Keisha has $25, Scott has $19 and Ryan has $57

3 0

3 years ago

Consider a population with 3 observations: 6, 10 and 12. You use simple random sampling without replacement to select a sample o

lozanna [386]

Answer:

$\dfrac{2}{3}$

Step-by-step explanation:

Given that:

The number of observations is:

6, 10, 12

If we are to use a simple random sampling without replacement, then we will have:

(6,10) (6,12) (10,12)

Here;

the sample size n = 2

The population size N = 3

For (6,10) ; The sample mean = $\dfrac{6+10}{2}$

= $\dfrac{16}{2}$

= 8

For (6,12) ; The sample mean = $\dfrac{6+12}{2}$

= $\dfrac{18}{2}$

= 9

For (10, 12) ; The sample mean = $\dfrac{10+12}{2}$

= $\dfrac{22}{2}$

= 11

The probability distribution of sample mean(x) is:

X 8 9 11

P(X=x) $\dfrac{1}{3}$ $\dfrac{1}{3}$ $\dfrac{1}{3}$

Thus, the probability that the sample mean is larger than 8 is:

P(X> 8) = P(X = 9) + P(X + 11)

P(X> 8) = $\dfrac{1}{3}+\dfrac{1}{3}$

P(X > 8) = $\dfrac{1+1}{3}$

P(X> 8) = $\dfrac{2}{3}$

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2 years ago

Tessa buys a silver coat rack priced at $224. Shipping and handling are an additional 19 % of the price. How much shipping and h

Tamiku [17]

T=224(1.19)
t=$264 18
264.18-224=40.18
19% of 224 is 40.18

5 0

3 years ago

Find the value of x in this problem

aalyn [17]

The answer to the question is 2

7 0

2 years ago