Work out 4.50 ÷ 0.05

Jeremy celebrates his baby's first birthday party. he has $100. he purchased vanilla cake for $30, one big balloon for $10, and

Studentka2010 [4]

100 = 30 + 10 + 10x
100 = 40 + 10x
-40 -40
60 = 10x
--- ----
10 10

6 = x

The equation is: 100 = 30 + 10 + 10x
The price of one cap is: $6

4 0

3 years ago

According to a 2009 Reader's Digest article, people throw away approximately 13% of what they buy at the grocery store. Assume t

OverLord2011 [107]

Answer:

The probability that the sample proportion exceeds 0.16 is 0.2061.

Step-by-step explanation:

We are given that according to a 2009 Reader's Digest article, people throw away approximately 13% of what they buy at the grocery store.

You plan to randomly survey 101 grocery shoppers to investigate their behavior.

Let $\hat p$ = sample proportion

The z-score probability distribution for the sample proportion is given by;

Z = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample population = 0.16

n = sample of grocery shoppers = 101

Now, the probability that the sample proportion exceeds 0.16 is given by = P( $\hat p$ > 0.16)

P( $\hat p$ > 0.16) = P( $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ > $\frac{0.16-0.13}{\sqrt{\frac{0.16(1-0.16)}{101} } }$ ) = P(Z > 0.82) = 1 - P(Z $\leq$ 0.82)

= 1 - 0.7939 = <u>0.2061</u>

The above probability is calculated by looking at the value of x = 0.82 in the z table which has an area of 0.7939.

4 0

3 years ago

Help me pls i need to answer fast

KATRIN_1 [288]

Answer:

your answer will be 1

Step-by-step explanation:

8 0

3 years ago

PLEASEE HELP MEE ANSWER THIS

frosja888 [35]

X=3
JM=9
the realationship is that it’s “splitting them in half”

3 0

3 years ago

14.

Charra [1.4K]

a. The number of square cm of paper that would be used to make 4 caps is 3154.56 cm².

b. For the cake to have the required dimensions, they should order 1 kg of cake.

a.

The number of square cm of paper that would be used to make 4 caps is 3154.56 cm².

To find the number of square cm paper would be used to make 4 caps, we need to find the area of a cone.

The area of a cone, A = πr² + πr[√(h² + r²)] where

r = radius of cone and
h = height of cone

Now given that the base circumference of the cone is C = 44 cm. So,

C = 2πr where r = radius of base

So, r = C/2π = 44 cm/2π = 22 cm/3.142 = 7 cm

The height of the cone, h = 24 cm

So, A = πr² + πr[√(h² + r²)]

A = π(7 cm)² + π(7 cm)[√((24 cm)² + (7 cm)²)]

A = π(7 cm)² + π(7 cm)(7)[√((4 cm)² + (1 cm)²)]

A = 49π cm² + 49π cm[√(16 cm² + 1 cm²)]

A = 49π cm² + 49π cm[√(17 cm²)]

A = 49π [1 cm² + 4.123 cm²)]

A = 49π [5.123 cm²)]

A = 251.032π

A = 788.64 cm²

Since the area of one cap is A = 788.64 cm²,

the area of 4 caps is A' = 4A

= 4 × 788.64 cm²

= 3154.56 cm²

So, the number of square cm of paper that would be used to make 4 caps is 3154.56 cm².

b.

For the cake to have the required dimensions, they should order 1 kg of cake.

To find the amount of cake to be ordered, we need to find the volume of a cake since it is the volume of a cylinder.

<h3>Volume of a cylinder</h3>

The volume of a cylinder is V = πd²h/4 where

d = diameter of cake = 24 cm and
h = height of cake = 14 cm

Substituting the values of the variables into the equation, we have

V = πd²h/4

V = π(24 cm)²(14 cm)/4

V = π(576 cm)²(14 cm)/4

V = 8064π cm³/4

V = 2016π cm³

V = 6333.45 cm³

So the volume of the cake is 6333.45 cm³

Since 650 cm³ equals 100 g, 6333.45 cm³ = 6333.45 cm³ × 100 g/650 cm = 974.4 g = 0.974 kg ≅ 1 kg.

So, for the cake to have the required dimensions, they should order 1 kg of cake.

Learn more about volume of a cake here:

brainly.com/question/27570775

#SPJ1

5 0

2 years ago

Work out 4.50 ÷ 0.05​

Work out 4.50 ÷ 0.05