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Tamiku [17]
2 years ago
7

Kay's Dessert Shop bakes cookies. The ratio of chocolate chip to sugar cookies baked is always 5 to 2. If she bakes 210 cookies

in one day, how many were sugar cookies? 50 points
Mathematics
1 answer:
Gnom [1K]2 years ago
6 0

Answer: 60

Step-by-step explanation:

Given

The ratio of chocolate chip to sugar cookies is 5:2

If she bakes 210 cookies in one day

Suppose she baked x amount of chocolate chips on that day

So, we can write

\Rightarrow x=\dfrac{2}{5+2}\times 210\\\\\Rightarrow x=\dfrac{2}{7}\times 210=60

There were 60 sugar cookies on that day

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If △ABC ≅ △DEF, then what corresponding side is congruent to side BA? (Enter answer using segment letters only.)
sdas [7]
<h3>Answer is   ED</h3>

note: ED is the same as DE. The order of the segment letters does not matter.

============================================

Explanation:

In the sequence ABC, the letter B is the second letter and A is the first.

So the corresponding segment to BA will have its first slot be the second letter of DEF, and its second slot be the first letter of DEF. That's how I'm getting ED for the answer. It is the same as DE because it's the same segment.

The corresponding sides are congruent due to the CPCTC which stands for "corresponding parts of congruent triangles are congruent".

3 0
3 years ago
In a process that manufactures bearings, 90% of the bearings meet a thickness specification. A shipment contains 500 bearings. A
vredina [299]

Answer:

c) P(270≤x≤280)=0.572

d) P(x=280)=0.091

Step-by-step explanation:

The population of bearings have a proportion p=0.90 of satisfactory thickness.

The shipments will be treated as random samples, of size n=500, taken out of the population of bearings.

As the sample size is big, we will model the amount of satisfactory bearings per shipment as a normally distributed variable (if the sample was small, a binomial distirbution would be more precise and appropiate).

The mean of this distribution will be:

\mu_s=np=500*0.90=450

The standard deviation will be:

\sigma_s=\sqrt{np(1-p)}=\sqrt{500*0.90*0.10}=\sqrt{45}=6.7

We can calculate the probability that a shipment is acceptable (at least 440 bearings meet the specification) calculating the z-score for X=440 and then the probability of this z-score:

z=(x-\mu_s)/\sigma_s=(440-450)/6.7=-10/6.7=-1.49\\\\P(z>-1.49)=0.932

Now, we have to create a new sampling distribution for the shipments. The size is n=300 and p=0.932.

The mean of this sampling distribution is:

\mu=np=300*0.932=279.6

The standard deviation will be:

\sigma=\sqrt{np(1-p)}=\sqrt{300*0.932*0.068}=\sqrt{19}=4.36

c) The probability that between 270 and 280 out of 300 shipments are acceptable can be calculated with the z-score and using the continuity factor, as this is modeled as a continuos variable:

P(270\leq x\leq280)=P(269.5

d) The probability that 280 out of 300 shipments are acceptable can be calculated using again the continuity factor correction:

P(X=280)=P(279.5

8 0
3 years ago
Find the volume of the rectangular prism.<br> The volume is cm?<br><br> 8 cm<br> 5 cm<br> 9 cm
dedylja [7]

Answer:

360 cm

Step-by-step explanation:

volume= length x width x height

8*5*9=360 cm

6 0
2 years ago
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The diagram below shoes a circular stage at an outside theatre. The shaded area represents a grassy area where the audience can
shtirl [24]
240.46 square yards
3 0
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craige rose is an over-road truck driver. if he is paid 0.54 per mile, what is craig's total pay for the amount of miles
cricket20 [7]

if x = amount of miles driven

pay = .54*x

7 0
3 years ago
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