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Sever21 [200]
3 years ago
10

The answer is A I just need help working it out

Mathematics
2 answers:
nordsb [41]3 years ago
5 0
STU + STR = 180
8x + STR = 180 [ STU = 8x ]
STR = 180 - 8x

STR = SRT [ RS ≈ ST ]

Now, In ΔSRT,
we have, RST = 7x - 54, STR = SRT = 180-8x
Their sum is 180, as it constitutes a triangle.

7x-54 + 2(180-8x) = 180
7x - 54 + 360 - 16x = 180
 306 - 9x = 180
9x = 306 - 180
9x = 306 - 180
x = 126/9
x = 14

So, option A is your answer.

Hope this helps!

Naya [18.7K]3 years ago
5 0
So A is the option and also the answer
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90

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3 years ago
Two chemists working for a chicken fast-food company, have been producing a very popular sauce. Let’s call then Jesse and Mr. Wh
a_sh-v [17]

Answer:

Check the explanation

Step-by-step explanation:

Let \overline{x} and \overline{y} be sample means of white and Jesse denotes are two random variables.

Given that both samples are having normally distributed.

Assume \overline{x} having with mean \mu_{1} and \overline{y} having mean \mu_{2}

Also we have given the variance is constant

A)

We can test hypothesis as

H0: \mu_{1} =  \mu_{2}H1: \mu_{1} > \mu_{2}

For this problem

Test statistic is

T=\frac{\overline {x}-\overline {y}}{s\sqrt{\frac {1}{n1} +\frac{1}{n2}}}

Where

s=\sqrt{\frac{(n1-1)*s1^{2}+(n2-1)*s2^{2}}{n1+n2-2}}

We have given all information for samples

By calculations we get

s=2.41

T=2.52

Here test statistic is having t-distribution with df=(10+7-2)=15

So p-value is P(t15>2.52)=0.012

Here significance level is 0.05

Since p-value is <0.05 we are rejecting null hypothesis at 95% confidence.

We can conclude that White has significant higher mean than Jesse. This claim we can made at 95% confidence.

3 0
3 years ago
A investor obtained a loan of $600,000 to buy a car wash business. The monthly mortgage payment was based on 30 years at 5.5%. F
Lisa [10]

Answer:

The monthly mortgage payment is $ 8306.58

Step-by-step explanation:

Given as :

The loan taken as $ 600,000

The rate of interest = 5.5 %

The time period = 30 Years

So, from compounded method

Amount = principal × (1 +\frac{Rate}{100})^{Time}

or, Amount = $ 600,000 × (1 +\frac{5.5}{100})^{30}

Or, Amount =  $ 600,000 × (1.055)^{30}

∴   Amount = $ 2990370.77

<u>Now for The monthly mortgage payment </u>

∵ Time period is 30 years

So , 30 years = 12 × 30 = 360 months

∴ Amount payment in monthly =$ \frac{2990370.77}{360}

Or, Amount payment in monthly =$ 8306.58

Hence The monthly mortgage payment is $ 8306.58   Answer

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