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Arisa [49]
3 years ago
7

Please help me to answer this question.

Mathematics
1 answer:
Usimov [2.4K]3 years ago
5 0

Answer:

£100.32

Step-by-step explanation:

→ In order to work out the multiplier from a increase, you have to add 100 to the percentage and then divide by 100 so,

14 + 100 = 114

114 ÷ 100 = 1.14

→ This means the decimal multiplier is 1.14, now all we do is multiply the multiplier by the cost

£88 × 1.14 = £100.32

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In a random sample of 400 residents of Boston, 320 residents indicated that they voted for Obama in the last presidential electi
coldgirl [10]

Answer:

C.I =  0.7608   ≤ p ≤   0.8392

Step-by-step explanation:

Given that:

Let consider a  random sample n = 400 candidates where  320 residents indicated that they voted for Obama

probability \hat p = \dfrac{320}{400}

= 0.8

Level of significance ∝ = 100 -95%

= 5%

= 0.05

The objective is to  develop a 95% confidence interval estimate for the proportion of all Boston residents who voted for Obama.

The confidence internal can be computed as:

=\hat p  \pm Z_{\alpha/2} \sqrt{\dfrac{ p(1-p)}{n } }

where;

Z_{0.05/2} = Z_{0.025} = 1.960

SO;

=0.8  \pm 1.960 \sqrt{\dfrac{ 0.8(1-0.8)}{400 } }

=0.8  \pm 1.960 \sqrt{\dfrac{ 0.8(0.2)}{400 } }

=0.8  \pm 1.960 \sqrt{\dfrac{ 0.16}{400 } }

=0.8  \pm 1.960 \sqrt{4 \times 10^{-4}}

=0.8  \pm 1.960 \times 0.02}

=0.8  \pm 0.0392

= 0.8 - 0.0392     OR   0.8 + 0.0392  

= 0.7608    OR    0.8392

Thus; C.I =  0.7608   ≤ p ≤   0.8392

3 0
3 years ago
An account is opened with an initial balance of $950 and a simple annual interest rate of 1.6%. What is the balance after 5 year
Sergeeva-Olga [200]
The answer is $1,026.

Solving: Use Simple interest formula, I=Prt.

Make the rate into a decimal (1.6% -> 0.016)

plug in the numbers into the formula. 950 x 0.016 x 5 = 76$.

76$ will be our interest, now to find the balance we would have to add the the starting money (950) with our interest (76$), resulting in our answer of $1,026 after 5 years.
5 0
2 years ago
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Which function will produce the same graph as the function shown below?
pav-90 [236]
I think the correct answer from the choices listed above is option D. The function that will produce the same graph as the function y=(x+1)(x-3) would be <span>y=x^2-2x-3. Both equations are the same. You can confirm it by simplifying the equation. Hope this answers the question.</span>
5 0
4 years ago
Read 2 more answers
I need help! ASAP please!
LenKa [72]

Answer:

60 f+80=287

Step-by-step explanation:

5 0
3 years ago
True or false !!!<br><br> T or F
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Tan x = opp/adj

For angle C, opp = 4, and 3 = adj, so

tan C = 4/3

Answer: False
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