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Blizzard [7]
4 years ago
9

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
a₆ = 9375
a₇ = -46875
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

3 0
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.

180 - 163 = 17


the other angle would be 17 degrees

8 0
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)

4 0
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.

4 0
2 years ago
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