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3 years ago

There are 45 balloons at a party, 25 blue and 20 green. What is the ratio of

Mathematics

2 answers:

Zarrin [17]3 years ago

6 0

Answer:

5: 4

Step-by-step explanation:

Anika [276]3 years ago

5 0

Answer:

Step-by-step explanation:

If there are 45 balloons total, and there are more balloons, you will know that the blue balloons will have a higher ratio. The answer is C. 5:4.

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Sakima Lena is employed at a restaurant. He has family medical coverage through the company’s group medical plan. The annual cos

omeli [17]

Answer: $2405

Step-by-step explanation: explanation is in the attached picture file

3 0

3 years ago

An Article a Florida newspaper reported on the topics that teenagers most want to discuss with their parents. The findings, the

Sergio039 [100]

Answer:

The estimate is $P__{hat}} \pm E = 0.37 \pm 0.0348$

Step-by-step explanation:

From the question we are told that

The sample size is n = 522

The sample proportion of students would like to talk about school is $\r p__{hat}} = 0.37$

Given that the confidence level is 90 % then the level of significance can be mathematically evaluated as

$\alpha = 100 - 90$

$\alpha = 10\%$

$\alpha = 0.10$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table, the value is

$Z_{\frac{\alpha }{2} } =Z_{\frac{0.10}{2} } = 1.645$

Generally the margin of error can be mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\r P_{hat}(1- \r P_{hat} )}{n } }$

=> $E = 1.645 * \sqrt{\frac{0.37 (1- 0.37 )}{522 } }$

=> $E = 0.0348$

Generally the estimate the proportion of all teenagers who want more family discussions about school at 90% confidence level is

$P__{hat}} \pm E$

substituting values

$0.37 \pm 0.0348$

5 0

3 years ago

Which of the following is the sum of both solutions of the equation <img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2Bx-42%3D0"

AysviL [449]

Answer: $x=6$ or $x=-7$

Step-by-step explanation:

Step 1: Factor left side of equation: $(x-6)(x+7)=0$

Step 2: Set factors equal to 0: $x-6=0$ or $x+7=0$

Get your answer: $x=6$ or $x=-7$

5 0

3 years ago

Find the coordinates of the midpoint of the segment whose endpoints are H(8, 2) and K(6, 10).

elena-14-01-66 [18.8K]

Midpoint formula

for
(x1,y1) and (x2,y2)
the point is
((x1+x2)/2,(y1+y2)/2)

(8,2)
(6,10)
point is
((8+6)/2,(2+10)/2)
(14/2,12/2)
(7,6)
midpoint is (7,6)

8 0

3 years ago

Read 2 more answers

The diagram shows a logo

Charra [1.4K]

Answer/Step-by-step explanation:

✔️Find EC using Cosine Rule:

EC² = DC² + DE² - 2*DC*DE*cos(D)

EC² = 27² + 14² - 2*27*14*cos(32)

EC² = 925 - 756*cos(32)

EC² = 283.875639

EC = √283.875639

EC = 16.85 cm

✔️Find the area of ∆DCE:

Area = ½*14*27*sin(32)

Area of ∆DCE = 100.15 cm²

✔️Since ∆DCE and ∆ABE are congruent, therefore,

Area of ∆ABE = 100.15 cm²

✔️Find the area of the sector:

Area of sector = 105/360*π*16.85²

Area = 260.16 cm² (nearest tenth)

✔️Therefore,

Area of the logo = 100.15 + 100.15 + 260.16 = 460.46 ≈ 460 cm² (to 2 S.F)

5 0

3 years ago