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4 years ago

20 POINTS!!! I need help urgently with the question in the picture below!

Mathematics

1 answer:

Elodia [21]4 years ago

7 0

Let f(x)=ax+b
11a+b=23.55
12a+b=25.35

solve: a=1.8 b=3.75
so ..

f(x)=1.8x+3.75
if x=31 , f(x)=59.55

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Find the sum of the geometric sequence –3, 15, –75, 375, … when there are 7 terms and select the correct answer below.

Leona [35]

-3, 15, -75, 375,…
×5 ×5 ×5

aⁿ = a₁rⁿ⁻¹
aⁿ = 3(5)ⁿ⁻¹

a₅ = -1875
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7 0

4 years ago

1. Sarah went to dinner, and the bill was $15.25. She left a 15% tip. How

mestny [16]

Answer:

$17.54

Step-by-step explanation:

15% percent of $15.25 is $2.29 so, add them together

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3 years ago

Read 2 more answers

Mabel measured an angle on her math worksheet with her protractor. The angle measured 163°. If she were to draw an angle which w

STatiana [176]

Two supplementary angles equal 180 degrees when added together.

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2 years ago

The speeds of vehicles traveling on a highway are normally distributed with a population standard deviation of 7 miles per hour

True [87]

Answer: $(56.03\ ,63.97)$

Step-by-step explanation:

Given : The speeds of vehicles traveling on a highway are normally distributed .

Standard deviation: $\sigma: 7$

Since , sample size : $n=20$ , which is small sample (n<30) so the test applied here is a t-test.

Degree of freedom= $n-1=20-1=19$

Sample mean : $\overline{x}=60$

Level of significance : $1-\alpha:0.98$

Then , significance level : $\alpha: 1-0.98=0.02$

Using t-distribution table , Critical value : $\text{t-score}=t_{n-1, \alpha/2}= 2.539483$

The confidence interval for population mean is given by :-

$\overline{x}\pm t_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

$60\pm( 2.539483)\dfrac{7}{\sqrt{20}}\approx60\pm3.97=(56.03\ ,63.97)$

Hence, a 98% confidence interval for the population mean= $(56.03\ ,63.97)$

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3 years ago

Which pair of triangles can be proven congruent by SAS?

ivolga24 [154]

Answer:

Second option

Step-by-step explanation:

They have two congruent pairs of sides and one congruent pair of angles.

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2 years ago